| Subject | Date Asked |
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| mathematics | 11/20/2009 |
Q: 1. Intergrate with respect to x :(x^2-3) 2. The linear speed of a belt that passes round a pulley of ...
A: 1. ∫(x^2-3)dx The answer would be to add one to the exponent and divide by new exponent. That ...
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| Trig | 11/17/2009 |
Q: Good evening, my questions are these: 1. How would I verify the identity of; ...
A: 1. Use sin5x = sin(4x+x) = sin4x•cosx + sinx•cos4x, sin3x = sin(4x-x) = sin4x•cosx - sinx•cos4x, ...
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| Easy Counting Problem? | 11/16/2009 |
Q: Consider the following variables: Z A1 ...
A: The counting looked good, and, well, I looked over it, and the only eror I think I saw was when the ...
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| Pre-calculus | 11/10/2009 |
Q: I need help... I don't understand how to do this problem using the rational zeros thereom to find ...
A: To simplify things, note that every factor is divisible by 3. Thus, 3x^3+6x^2-15x-30 = 3(x³ + 2x² - ...
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| trig | 11/9/2009 |
Q: Directions- solve each equation for solutions over the interval [0*,360*] (*=degrees). Give ...
A: There is a trig identity involved here. Note that cos(2Θ) = cos²Θ - sin²Θ. So when ...
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| Pre-Calculus | 11/8/2009 |
Q: Scott, I need help with this problem. State an equation whose graph is a transformation of the sine ...
A: The variable is x and the function is sin(x). The amplitude is the value that occurs before the ...
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| Chaotic Systems?? | 11/7/2009 |
Q: I was wandering if you could answer myWhat kind of mathematics am I dealing with here? Consider ...
A: That would be a miatrix of almost infinite size with variables for each action somewhere between 0 ...
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| Statistics, probabilities | 11/6/2009 |
Q: There were some other part-questions that I've solved, but I don't know about these, I hope I could ...
A: a) The chance of H is 0.4 and T is 0.6. This is two choices the same for three times. That is the ...
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| Indefinte Integrals | 11/6/2009 |
Q: I have these problems and have been struggling with them. Can you help?? Thanks!
A: ∫x^n dx = x^(n+1)/(n+1) + C, ∫sinx dx = -cosx + C; ∫cox dx = sinx + C, ∫e^x ...
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| algebra 2 | 11/4/2009 |
Q: okay, here's my problem: if a-(1/a)=6, find a^2+1/(a^2) and a^3-1/(1^3) I was able to figure out ...
A: If a - 1/a = 6, then multiply the entire equation by a. This gives a² - 1 = 6a, or a² - 1 - 6a = 0, ...
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| math | 11/4/2009 |
Q: solve these three equations 9a+7b=-30 8b+5c=11 -3a+10c=73
A: I put the answer in another file for you. The element that is in bold is what the row that it is on ...
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| urgent math | 11/3/2009 |
Q: Hey there I have a test tomorrow nigh for Calc and I just can't seem to get the answers for these ...
A: 1a) Make one side of a right triangle as the rest of the way to first d. Make the other side the ...
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| trig | 11/3/2009 |
Q: You are standing 50 meters from the base of a tree that is leaning 4° from the vertical away from ...
A: // a program to find the height of a tree #include <stdio.h> #include <math.h> void main() { ...
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| Simplifying with Pascal's Triangle | 11/2/2009 |
Q: Can you please help me simplify these products using Pascal's Triangle? (x+1)^5 (x+1)^6 (x+1)^7 ...
A: Pascal's Triangle: Each row is found by the sum of two elements above it. On the edge, it is always ...
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| maths-probability | 11/1/2009 |
Q: A six digit number (abcdef)each digit can vary from 0to9. A number is said to be a lucky number if ...
A: Take a foud sided die. Flip it once, it would be 1: 1 2: 1 3: 1 and 4: 1. If you flipped it again, ...
|
| MATLAB | 11/1/2009 |
Q: Could you help me create a MATLAB program that reduces ANY 5x5 matrix to its reduced row echelon ...
A: I've never programmed in MATLAB, but after a few questions, I should learn. I like to space two ...
|
| Two Matrix questions | 10/31/2009 |
Q: A = (a 3) (1 a+2) a) Find the inverse of the matrix for the a-values which there is an ...
A: a) If the determinant of a matrix is non-zero, there is an inverse. The determinant of that matrix ...
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| Algebra | 10/31/2009 |
Q: How many prime factors does the binomial y4096 – 1 have? How do I show the work? I am very lost at ...
A: That number 4096 = 2*2*2*2 *2*2*2*2 *2*2*2*2 *2*2*2*2 You know, multiply 2 by itself 12 times. ...
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| Quadratic Equation | 10/30/2009 |
Q: I have linear graph, real simple, "Y=X" I need to scale down my highest number '23' by multiplying ...
A: You mean Y = 0.53X? Multiplying the first column by 0.53 gives the second column. 23 12.19 22 11.66 ...
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| ap calculus ab | 10/30/2009 |
Q: My Problems (set 2): [DN1] Find the slope of y=3x² at the point (-2, 12). [DN2] How many vertical ...
A: [DN1] The slope is the first derivative. If f(x) = 3x², f'(x) = 6x. If we take (x,y) as (2,-12), ...
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| intermediat algebra | 10/29/2009 |
Q: what is the greatest common factor of these monomials, 50s^5t^2, 6s^3t^4, and 12s^4t^4
A: Look at the individually as a number, s, and t. Of 50, 6, and 12, we know that 50=2*5*5, 6=2*3, and ...
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| Trig | 10/27/2009 |
Q: I need help with this problem, please: (16 pts) The Pentagon in Washington D.C. is 921 feet long on ...
A: Let C be the center and D be the far side. By extending DC through AB, AB will be split in half. ...
|
| how many | 10/26/2009 |
Q: this is for my own personal curiosity how many grains of sand would fit into a 1 inch cube box ...
A: I found it at http://wiki.answers.com/Q/How_many_grains_of_sand_are_in_one_square_inch In here, it ...
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| largest number | 10/26/2009 |
Q: i,v heard of groups of large numbers - e.g. million, trillion, zillion but what is the next ...
A: I'll define a zillion at the bottom. 1,000 = one thousand 1,000,000 = one million 1,000,000,000 = ...
|
| The Law of Cosines | 10/25/2009 |
Q: Scott - Can you, please, help me with this homework problem? Solve the triangle, if possible: B = ...
A: It is known that b² = a² + c² - 2ac•sinB. Using B = 72.66˚, a = 23.78 km, c = 25.74 km, b can ...
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| mathematical analysis | 10/24/2009 |
Q: We have a question that we would like some help. Let A and B be subsets of R^d. Prove that ...
A: Let S(A) be defined as the elements on the surface of A. Let S(B) be defined as the elements on the ...
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| power and root | 10/24/2009 |
Q: How do you solve the following questions: (1) what is the least possible value of a+b+C if a* ...
A: 1st, find the prime factors of 3600. They are 2*2*2*2*3*3*5*5. We must choose three of them to be ...
|
| Trig Identities | 10/23/2009 |
Q: I need help with this problem: Carefully prove the identity (cos x - sin x)^2 = 1 - sin 2x. Thank ...
A: Start with the left, (cos x - sin x)². The works out to be cos²x - 2(sin x)(cos x) + sin²x. That ...
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| inequalities | 10/22/2009 |
Q: I am in 9th grade algebera 1. Having trouble with thisFind a value of "a" such that the number line ...
A: If we are given that ax + 4 < 12, we can subtract 4 from both sides. The result of that is ax < 8. ...
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| Probability | 10/21/2009 |
Q: The marketing manager of a company has noted that she usually receives 10 complaint calls from ...
A: I would use the poisson distribution. That would have poisson distributin with lamda = 10. I will ...
|
| Algebra | 10/20/2009 |
Q: help me solve this equation 1/cubic root(x) +cubic root of x = 3 ...
A: Let A = cube root(x). Our equation is then 1/A + A = 3. Multiplying by A gives us 1 + A² = 3A. ...
|
| trigonometry | 10/20/2009 |
Q: log base2 x+log base2 4+log base2=32
A: I will assume that log in this note is log base 2, so as to make it look simpler. log(x) + log(4) + ...
|
| ap calculus ab | 10/18/2009 |
Q: My problems (set5): 3. Consider the function (this is a piecewise function) g(x)=(x²+h), if x<(-1) ...
A: 3) We are given g(x). It is x<-1: x²+h -1<x<1: x+4 1<x: x/(x+k) At x=-1, (-1)²+j = -1+4 => ...
|
| Fractions | 10/17/2009 |
Q: 5% X $2000 = $100 2% X $1000 = $20 Can any of the fractions of 1/6 or 5/6 be determined from the ...
A: Well, $100.00 + $20.00 = $120.00. If we look at $20/$120, we can cancel the $ and get 20/120. A 0 ...
|
| Fractions | 10/17/2009 |
Q: 5% X $2000 = $100 2% X $1000 = $20 Can any of the fractions of 1/6 or 5/6 be determined from the ...
A: I see it now. That is, 20/120 = 1/6 = 16 2/3% and 100/120 = 5/6 = 83 1/3%. I would divide it by 1 ...
|
| mathematical economic 201 | 10/16/2009 |
Q: i am student of mathematical economic 201 i have few question i can not solve it can you help me to ...
A: a) P = ((1+i)^-1)/i)A/(1+i)^n where A is the annuity value and i is the interest rate. b) If we are ...
|
| algebra - subspaces | 10/14/2009 |
Q: let W be the set of all symmetric 3x3 matrices. Determine whether or not W is a subspace of the ...
A: To be a proper subset, any scalar times and element must be in the subspace. Since A being in W ...
|
| Proving Trigo | 10/13/2009 |
Q: tanA / (1 - cotA) + cotA / (1 - tanA) = 1 + secA cosec A
A: The equation, converted to sinA and cosA is (SinA/CosA)/(1 - CosA/SinA) + (CosA/SinA)/(1 - ...
|
| Quantitative Analysis | 10/12/2009 |
Q: Respected Sir, Please help me for below mentioned questions. Sir ! please provide me solutions. ...
A: 1.From the following data compute quartile deviation and the coefficient of skewness: Size 4.5-7.5 ...
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| linear equations | 10/12/2009 |
Q: The manager of a fish store has water that is 10% salt and water that is 25% salt. He needs to fill ...
A: a. If A is the 10% salt and B is the 25% salt, the equation is (0.1A + 0.25B)/(A+B) = 0.2. Also note ...
|
| Graphing an equation | 10/11/2009 |
Q: .. just having trouble with this. Can't even make sense of my class notes. Can you tell me how to ...
A: For everything on the right, move it to the left and combine terms. The result is -4x² + 5x² 6x - ...
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| prime and composite numbers | 10/8/2009 |
Q: I need to provide a theorem that requires the application of the definition for prime and composite ...
A: A compostie number is defined to be the product of at least two primes. A prime number is defined to ...
|
| Solving a trig equation | 10/8/2009 |
Q: I have been working on this problem for a day and I am utterly lost. ...
A: It is known that sin(A+B) = sinA•cosB + sinB•cosA. First, we need to factor the √2 out front. ...
|
| eigenvalues andeignvectors | 10/7/2009 |
Q: find all eigenvalues and eigenvectors of the matrix and find the matrix that diagoalises it 5 ...
A: I have put the answer in a spreadsheet and exported the printed version to you. I'm not so sure ...
|
| Explanation of calculus application | 10/7/2009 |
Q: Received the following during an Economics lecture. Its to explain elasticity. Could you please ...
A: When k is used, it is in both K and k, but I will assume these are the same. When the elasticity of ...
|
| probability | 10/6/2009 |
Q: I just can't work out the theory to get the right answer. The question is "Two cards are chosen at ...
A: The chance has to be viewed as three possibilities. One: The five of diamonds is not drawn. Two: The ...
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| formula?2 | 10/6/2009 |
Q: "hello Mr. Wilson: i was referred to you by Ms. Wallin. I'm a bit fond of math formulas, so every ...
A: If that is the case, put them in order. (x+4517)=63598516622171 (x+4646)=78961486137918 ...
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| formula? | 10/5/2009 |
Q: "hello Mr. Wilson: i was referred to you by Ms. Wallin. I'm a bit fond of math formulas, so every ...
A: (x+4517)=63598516622171 (x+4557)=36495208111338 (x+4576)=97984080144061 (x+4586)=47257090258318 ...
|
| the completeness axiom | 10/5/2009 |
Q: let Xn be and Zn be sequences of real numbers. suppose that lim as n tends to infinity is 0. suppose ...
A: For any α small enough, show that (Zn)(Xn) < α. Since Zn is bound and lim x->∞ is ...
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| ap calculus preparation | 10/4/2009 |
Q: my problems (set 2): 2. Let g(x)= radical(x). Find: (a) g(5s+2) (b) g(radical(x)+2) (c) 3g(5x) (d) ...
A: 2. Let g(x)= √x. To do these, put in what is in the parenthesis for x. (a) g(5s+2) ...
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| Math logic problem | 10/2/2009 |
Q: Can you tell me the formula that will provide the practically and intuitively meaningful results for ...
A: Take the amount gained over the amount lost (make the amount lost positive). Also, you might want to ...
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| Simultaneous Equations | 10/1/2009 |
Q: A mans age is three times his sons age. Ten years ago he was five times older than his son. By ...
A: Let M=man and S=son. The first equation we are given is M = 3S. Ten years ago refers to M-10 and ...
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| math | 9/30/2009 |
Q: Let a_n=(1/n).we claim that (a_n)_n=1(n goes to infinite) converges to 0.now for ε >0 let ...
A: Let me rephrase it so it makes more sense. Let a_n = (1/n). We claim that if (a_n)•n = 1 for all ...
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| Trig please help | 9/29/2009 |
Q: The figure shows a circular piece of sheet metal of diameter 40 centimeters. The sheet contains 12 ...
A: I will assume the bolt holes are around in a circle. Determin the distance from the center for each ...
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| Math of covariance, correlation coefficient & Bond valuation | 9/28/2009 |
Q: Please Sir, give me a solution of this financial mathmatics...Given the following historical data ...
A: I'll use S for a sum. The variance is calculated as (S(x²) - S(x)²/n)/(n-1). This can be done for ...
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| Factoring | 9/28/2009 |
Q: How would I go about factoring x^5-c^5?
A: It is known that x^n - 1 is (x+c)(x^n-1 - x^n-2 + x^n-3 ... - n - 1) with alternating +,- for n odd. ...
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| mental arithmetic | 9/26/2009 |
Q: What I am interested in is mental arithmetic.I really admire those people who can do sums in his ...
A: This sounds interesting and tends to bring a lot back to my head, so buckle down and lets go. ...
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| solving systems of linear equations in 3 variables | 9/25/2009 |
Q: 2-y+z=5 -2x+2y+2z=-2 2x-3y-3z=1
A: Take the equations 2-y+z=5, -2x+2y+2z=-2, and 2x-3y-3z=1, and put them in proper form. That is, A) ...
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| Math | 9/24/2009 |
Q: Show that: y= 4x^2 (1-x^2) if sin^-1 y= 2cos^-1 x
A: We need to show y = 4x²(1-x²) if arcsin(y) = 2arccos(x). If sinA = y, then cos(A/2)=x. This ...
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| Fourier series | 9/23/2009 |
Q: given function f(x)on (-L,L) If f(x) is even(cosine series) ,odd(sine series) ,either(Fourier ...
A: I don't believe a function on the interval (a,b) is referred to as even or odd, but only when the ...
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| Percentages | 9/22/2009 |
Q: Here is an example in which an investor divided $30,000 into two accounts at simple interest: ...
A: I will take A as the 5% investment, B as the 3% investment, and C as the 2% investment. 1) Change ...
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| function rule | 9/22/2009 |
Q: What is function rule of following table 2 7 3 10 6 13 9 19 n
A: Set up the equations with the matrix a b d b c e where a = count, b = sum of x, c = sum of x², d = ...
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| Graphing an Equation? | 9/21/2009 |
Q: I need help with the STEPS (preferrably very detailed steps) on graphing the following equation (and ...
A: The equation is x² - 7x - 8x - y² - 2y + 6y +20 + 21 - 2 = 2 - 4y - 2y² - 5x. Combining like terms: ...
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| math | 9/16/2009 |
Q: "David forgot to put three plus (+) signs and one minus (-) sign in the problem below. Can you help ...
A: I'll have to think about that awhile. I won't be back until next Monday. I am currently busy doing ...
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| College Algebra | 9/16/2009 |
Q: One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill ...
A: I assume that it is suppose to be q(x)= x^4+2x^3+8x^2+8x+16 (I believe the = should be a +). I ...
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| Center and Radius of a Circle | 9/16/2009 |
Q: Find the center and radius of the circle 2x²+2y²+6x-4y+6
A: The standard form is (x-x0)² + (y-y0)² = r² where (x0,y0) is the center and r is the radius. First, ...
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| algebraic functions | 9/16/2009 |
Q: My daughter was given a challenge problem and we have been stumped. The Input numbers are: ...
A: Compare what is give to the output. The first thing to note is the differences. The input always ...
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| Percentages | 9/15/2009 |
Q: Here is an example in which an investor divided $30,000 into two accounts at simple interest: ...
A: I don't usually take time to find mistakes, I just show how I do the problem. First case: $10,000 @ ...
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| continuity | 9/15/2009 |
Q: I am trying to use interval notation to tell where f(x)=5x+~4:(x) 5x + (superscript 4 square root ...
A: That sound like the problem is computing the 4th root of x. Note the squareroots are the same as ...
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| Pre-Cal | 9/13/2009 |
Q: Fourth roots of 625i a) find the indicated roots of the complex number. b) represent each of the ...
A: Questions will be answered at the end of this note. Read on to find out how to do it. Look at the ...
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| show that it is orthogonal to both u and v | 9/13/2009 |
Q: find u X v and show that it is orthogonal to both u and v. u= 6k v=-i + 3j + k Thank you!
A: The vector u can be written as <0, 0, 6> and the vector v can be written as <-1, 3, 1>. The cross ...
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| Percentages | 9/11/2009 |
Q: $2.00, $4.00 and $6.00 are multiplied at three different percentages. The sum of the dollar amounts ...
A: The total amount of money we have is $12 and the percentae desired is 6%. 6% of $12 is 72c. Now ...
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| limit question | 9/10/2009 |
Q: I'm not sure how to go about doing this problem. The limit as x-->infinity of (square root of ...
A: The problem is lim(x->∞)[√(9x²+x)-3x]. Multiply by the conjugate, [√(9x²+x)+3x] ...
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| Algebra | 9/10/2009 |
Q: Hey could you help rationalize and simplify this expression √10/(√5-2) Thanks
A: I will assume that this problem has a √5 - 2 in the denominator. The way to simplify problems ...
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| Probablity | 9/10/2009 |
Q: . i have a doubt in the below sum.. a)mean = np = 175(0.25) = 43.75 standard deviation = sqrt(npq) ...
A: There is 0.5 on either side of the normal distribution. The normal table that was used gave the ...
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| Calculus | 9/10/2009 |
Q: .you have been a great help to me on a previous question. So, I hope you don't mind another: Find ...
A: Is that O really a Θ? It looks like lim(Θ->0)(Θ²/(sin³Θ)). It is one of the ...
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| College Algebra | 9/9/2009 |
Q: One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill ...
A: One pipe takes x minutes to fill the tank. The other pipe takes x/3 minutes to fill the tank. If 36 ...
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| math combination | 9/8/2009 |
Q: I have four 3-cent stamps and three 5-cent stamps. using one or more of these stamps, how many ...
A: 1, 2, 3, or 4 3c stamps are 3c, 6c, 9c, or 12c. That is 4 sets of postage. If one 5c stamp is ...
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| Percentages | 9/8/2009 |
Q: An investor invests $100.00 at 2% and another $100.00 at 5%, he can determine the average by the ...
A: Yes, it was right. I just made it look a little simpler. If it was a yes/no question on a test, I ...
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| inches to gals | 9/8/2009 |
Q: If I make a tank 22" x 35" x 6" how many gallons would that be ANSWER: Out of ...
A: 2 x 35 is 70, 22 in. x 35 in. is (700 + 70) in² = 770 in². 7 x 6 = 42, so 770 in² by 6 in. is (4200 ...
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| Calculus | 9/8/2009 |
Q: How do you Evaluate the limit (6x^2 + 8)(6x + 3) as x approaches 6 ANSWER: The best way to evaluate ...
A: We are given that f(x) = 2x^3. A. f(x+h) = 2(x+h)³ It is known that (x+1)³ = x³ + 3x^2 + 3x + 1, so ...
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| Percentages | 9/7/2009 |
Q: An investor invests $100.00 at 2% and another $100.00 at 5%, he can determine the average by the ...
A: I modified what I received to make it look better. An investor invests $100.00 at 2% and another ...
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| Calculus | 9/7/2009 |
Q: How do you Evaluate the limit (6x^2 + 8)(6x + 3) as x approaches 6
A: The best way to evaluate limits is put in the value of x that the limit is approaching. To evaluate ...
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| inches to gals | 9/6/2009 |
Q: If I make a tank 22" x 35" x 6" how many gallons would that be
A: Out of http://www.metric-conversions.org/volume/cubic-feet-to-us-liquid-gallons.htm?arg= I found out ...
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| math | 9/6/2009 |
Q: how do you find two sides of a triangle when you only have a side with no angles e.g i have the side ...
A: Add 13-1 or 13+1 to 13. That's 13+12 or 13+14. The results of these two operations are 25 and 27. ...
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| proof help | 9/5/2009 |
Q: Prove that if 3<x(sub 1)<5 and x(sub n+1)= 2+ sqrt x(sub n)- 2. Then 3<x(sub n+1)< x(sub n) holds ...
A: If x0 = 5, x1 = 2 + √(5-2) = 2 + √3. It is known that √3 is less than √4, ...
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| supremums, and upperbounds proof | 9/5/2009 |
Q: If you could please help me with this that would be wonderful! Prove that if x is the upperbound of ...
A: Note that the supernum is the least upperbound. Is x is the upperbound of E, E is in R, and x is in ...
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| Quantitative Analysis for Managerial Applications | 9/5/2009 |
Q: 1.Write a detailed note on Normal Distribution, Standard Normal Variety and the Central Limit ...
A: 2.From the following data compute quartile deviation and the coefficient of skewness: Size ...
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| Statistics | 9/5/2009 |
Q: Sir, Pl. solve the problem of the following:- Q:- Given the bivariate data: X 1 5 3 2 1 1 7 3 ...
A: To solve both (a) and (b), you need to compute n, SX, SX², SY, and SY² where S is for the sum. There ...
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| need a formula | 9/5/2009 |
Q: we have X number of squares, each square can be connected only on a side (no diagonals)thus a square ...
A: So with the cross there is one more. Like I said, it starts to get messy when there are only 5. If ...
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| Application of Poisson distribution | 9/4/2009 |
Q: Accidents occur on a particular stretch of highway at the rate of 3 per week. Find the probability ...
A: According to the Poisson, with lambda=3, and 0 standing for no accidents, P(0) = (3^0)(e^-3)/0!. Now ...
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| logarithms | 9/4/2009 |
Q: 3log sub2 x= 2log sub2 8
A: The log sub 2 is the log in base 2, which is what power the number has. It is known that 8 = 2*2*2, ...
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| need a formula | 9/4/2009 |
Q: we have X number of squares, each square can be connected only on a side (no diagonals)thus a square ...
A: There is a worksheet sent with all of the combinations. If you have ever played the computer game ...
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| pre-calc help | 9/4/2009 |
Q: how would you determine k and solve the equation: x^3-k2x^2+20x+12=0
A: First, what is that 2 doing between the k and the x? Usually constants go out front. It almost ...
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| Prove | 9/3/2009 |
Q: The arithmetic mean of a,b in R is A(a,b)=(a+b)/2, and the geometric mean of a,b in [10, infinity) ...
A: a<G(a,b) Since a < b, multiply both sides by a, which is positive. The result is a^2 < ab. Taking ...
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| graphing functions | 9/3/2009 |
Q: sketch the graph of each function a) f(x)= absolute value of(x+3) -2 b) g(x)= 1/f(x) ANSWER: (a) ...
A: a) f(x)= absolute value of(x+3) -2 b) g(x)= 1/f(x) To graph f(x), note that it is two lines with ...
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| Difficulty with Stats & Probability | 9/3/2009 |
Q: Am really please to have a tutor like you !! i have gone through with many illustrations you have ...
A: I need to know the question. I will send some examples for you to look at, but there are even more ...
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| graphing functions | 9/2/2009 |
Q: sketch the graph of each function a) f(x)= absolute value of(x+3) -2 b) g(x)= 1/f(x)
A: (a) The line would be at a perfect 45 degree angle with an upwards slope in both directions. |x+3| ...
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| Quantitative Analysis for Managerial Applications | 8/11/2009 |
Q: 1.Write a detailed note on Normal Distribution, Standard Normal Variety and the Central Limit ...
A: 1. Here is the normal distribution: http://www.netmba.com/statistics/distribution/normal/ I only ...
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| Division | 8/9/2009 |
Q: The line below is divided into thirds: 2%______3%______4%______5% What is the line below divided ...
A: Note that you've got the right idea. The first interval is from 2 to 3. 3 - 2 = 1, so there are 10 ...
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| trigonometry | 8/9/2009 |
Q: proving 1- cos2A/1=sinA=sinA sin2B/sec2B=cosB+cos2B tanB+1/cotB+1=tanB ...
A: I'll take the 4th problem, which I haven't done yet, and give it a try. Show that tanA/(1+cotA) + ...
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| trigonometry | 8/8/2009 |
Q: proving 1- cos2A/1=sinA=sinA sin2B/sec2B=cosB+cos2B tanB+1/cotB+1=tanB ...
A: I'd like to say thanks, but it's not that's doing anything. It's all in God's hands. I still see ...
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| Division | 8/7/2009 |
Q: The line below is divided into thirds: 2%______3%______4%______5% What is the line below divided ...
A: There is a difference of 1% between each of the numbers in the first design. Since 5% - 2% is 3%, it ...
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| Finding the average | 8/7/2009 |
Q: Scott, This is a question from last year's math competition. I've looked over a few times, but I'm ...
A: On messages that are to me, under private needs to be a, "Yes". As it is right now, Paul Klarreich, ...
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| trigonometry | 8/7/2009 |
Q: proving 1- cos2A/1=sinA=sinA sin2B/sec2B=cosB+cos2B tanB+1/cotB+1=tanB ...
A: Yeah, I've had well over 3,000 questions in almost 2 years, but I've never had one from anybody with ...
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| modulus function | 8/6/2009 |
Q: how to settle such question.. |2x-3|<|x+1|..the answer given is 2\3<x<4.. |3x=1|<(4x+3)2(square)
A: belle Country: Malaysia Category: Advanced Math Private: No Subject: modulus functionhow to settle ...
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| expoenents | 8/5/2009 |
Q: could u tell me whats the answer to this problem..and if it isnt to much to ask for..how did you get ...
A: It is known that 1/2 is 0.5. This makes 2 and a half into 2.5 and 2 minus one half is 1.5. That ...
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| abstract algebra | 8/5/2009 |
Q: 1. The sum of u and v , denoted by u + v , is in V . 2. u + v = v + u . 3. (u + v) + w = u + (v + ...
A: The reason they are needed is the same reason that multiplication is needed. After all, when you ...
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| abstract algebra | 8/5/2009 |
Q: 1. The sum of u and v , denoted by u + v , is in V . 2. u + v = v + u . 3. (u + v) + w = u + (v + ...
A: I believe they are sometimes used to make problems simpler to solve, but they are necessary since ...
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| abstract algebra | 8/4/2009 |
Q: 1. The sum of u and v , denoted by u + v , is in V . 2. u + v = v + u . 3. (u + v) + w = u + (v + ...
A: I'm not entirly sure of every answer, but I do have somewhat of a grasp of how to do them. Looking ...
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| Circles | 8/4/2009 |
Q: I have 2 different size circles , The radius of a circle is 2 cm , others 1 cm . At least how many ...
A: Yes, you're right. It does barely cover the circle. I took a few minutes, wrote something down, ...
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| pre-cal question | 8/3/2009 |
Q: solve the equation: cos2x(2cosx+1)=0 in the interval [0,2) cos2x=0 2x=pi/2+2*pi*n x= ...
A: When the first one is checked, note what is being done. First, x is being multiplied by 2. If x = ...
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| Circles | 8/3/2009 |
Q: I have 2 different size circles , The radius of a circle is 2 cm , others 1 cm . At least how many ...
A: I have thought about this for awhile and realized that was a silly approach that I did. Now for each ...
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| maths | 8/2/2009 |
Q: can you please help me find a closed form for the sequence given by the recurrence syatem, giving ...
A: This looks like A is indexed and the equation is A(0)=2400 A(n+1)=1.107*A(n-260). It is known that ...
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| precalc | 8/1/2009 |
Q: 3r= sin A, r and A represent polar coordinates. Write each polar equation as an rectangular ...
A: If we look at the function x = ±√[(y-3y²)/3], we need 3y²<y for what's under the √ to ...
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| Differentiation | 7/31/2009 |
Q: Hey Scott Could you help me in finding the second derivative of the following implicit function ...
A: Differentiate x^2-xy+y^2=7 implicitly. That gives 2x - xy' - y + 2yy' = 0. The value of y' can be ...
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| Math | 7/31/2009 |
Q: I have question in number theory but since all experts are on vacation in that field I thought you ...
A: The rule for finding perfect numbers is by testing 2^n-1. If that is prime, then (2^n - 1)2^(n-1) ...
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| pre-cal question | 7/30/2009 |
Q: Find all solutions of the equation in the interval [0,2pi) sin(x+pi/6) - sin(x-pi/6)=1/2 Thank ...
A: Here is where it is handy to use one of the trig identities. You know, the one about sin(A+B). It ...
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| Maths | 7/30/2009 |
Q: (1) X^2 + 3X + Y^2 = 404 (2) X + Y^3 = ? X and Y are positive integers. Find all possible ...
A: I don't know of another way to do it besides trial and error. Basically, y² = 404 - x² - 3x means ...
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| precalc | 7/30/2009 |
Q: 3r= sin A, r and A represent polar coordinates. Write each polar equation as an rectangular ...
A: Think about a triangle with the center at the origin. The point in question is the point at the ...
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| pre-cal question | 7/28/2009 |
Q: The monthly sales (in thousands of units) of a seasonal product are approximated by S= 74.50 + 43.75 ...
A: The best way to do this is in a spreadsheet. In cell A1, put 1. In cell A2, put =A1+1. Highlight ...
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| Plane Trigonometry | 7/28/2009 |
Q: Having some difficulty with these problems and don't have a teacher to ask to explain them and show ...
A: Now normally, I don't answer a question that requires this many answers. However, I only have two ...
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| math | 7/28/2009 |
Q: Sunshine Stereo sells cd players. The cd player lefe is normally distributed with a mean of 2.3 ...
A: The average is 2.3 and the standard deviation is 0.4. Note that the cutoff point is 2, and this is ...
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| Algebra | 7/27/2009 |
Q: (2/a+3) - (3/2a+6) + (a+2/a^2+6a+9)=? ANSWER: That looks like it is 2/(a+3) - 3/(2a+6) + ...
A: Oops - I'm not think straight today. That is really That is, (4a+12 - (3a+9) + (2a+4))/2(a+3)²) { ...
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| Algrbra | 7/27/2009 |
Q: If you reduce the numerator of the fraction (x+y)/(7x^2-7y^2) to UNITY, without changing the value ...
A: You need to factor of 7x²-7y². Just looking at it, it can be seen to be 7(x²-y²). Now this is one ...
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| Algebra | 7/27/2009 |
Q: Solve the equation (ax/2b) - (c/3d) + x = 1 So.. x=?
A: Get the x terms by themselves by moving anything without an x to the other side. The eqaution is ...
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| Algebra | 7/27/2009 |
Q: Simplify the complex fraction: (a-c/2a) / (a+c/2a)
A: With that way I've been getting problems from you, I will assume that this is ...
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| Algebra | 7/27/2009 |
Q: (2/a+3) - (3/2a+6) + (a+2/a^2+6a+9)=?
A: That looks like it is 2/(a+3) - 3/(2a+6) + (a+2)/(a²+6a+9). Notice the factors of the denominators. ...
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| Algebra | 7/27/2009 |
Q: Find the algebraic sum of the following: (2a+3b/3a) - (a-2b/4b) + (a^2+b^2/ab)
A: That almost looks like it is suppose to be (2a+3b)/3a - (a-2b)/4b + (a^2+b^2)/ab. If it was the way ...
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| Algrbra/Advanced Math | 7/27/2009 |
Q: a^2 + 2/b divided by (a + 2/a)=?
A: As written, a^2 + 2/b divided by (a + 2/a). Putting the numerator all over one number gives (ba^2 + ...
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| About Complex numbers | 7/26/2009 |
Q: the complex number w is given by w=-1/2 + i(3^1/2)/2. Find the modulus & argument of w. Thanks a lot
A: Take the complex number as polar coordinates. The real part is the x value and the imaginary part is ...
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| Verify differential equation | 7/26/2009 |
Q: An underground storage tank is being filled with liquid as shown in the diagram.Initially the tank ...
A: Take the right side of the equation, -20 + (2000)/((10-h)(10+h)). Multiply the terms in the ...
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| trig question | 7/26/2009 |
Q: Solve the equation tan3x(tanx-1)= 0 Thank you!
A: Here is the corrected version. Note that the major correction is where I got sin^4(x), it should ...
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| Integration | 7/25/2009 |
Q: Hey, could you help in determining the following integral e^cosx*sinx Thank you.
A: Let u = cosx. This makes du = -sinx dx, so -du = sinx dx. Take the integral ∫(e^cosx)sinx ...
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| Problem using MS Excel | 7/24/2009 |
Q: Let x and y be positive integers such that x^2 + 3x +y^2 = 404. What is the value of x + y^3? Find ...
A: First, lets give the columns titles. In cell A1, put 404. In Cell B1, put X. In cell C1, put ...
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| Intergration of Trigonometric Functions | 7/23/2009 |
Q: Find the integral of cos^3x Thanks.
A: There is one basic trig law that is learned in trig, but not used there much. However, when ...
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| THE Math cont. | 7/22/2009 |
Q: (Question 1) Assume a given pendulum has a period of 10 seconds on Earth. What is the length of the ...
A: Question 1) Assume a given pendulum has a period of 10 seconds on Earth. What is the length of the ...
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| Parentheses in multiplication - theory based | 7/22/2009 |
Q: I'm asking a theory oriented question as opposed to an actual math problem. What is the basis for ...
A: Yes, it is shorhand that is accepted to everyone who knows any math. Allowing 5x to be 5*x avoids ...
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| The Math | 7/21/2009 |
Q: Given the equation d=8cos((3pi/4)*t) for simple harmonic motion , find the maximum displacement.
A: The cos() curve is known to vary from a minimum of -1 to a maximum of 1. The interval in which it ...
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| Pre calculus help... | 7/21/2009 |
Q: Establish each identity ! (1-cos^2 A) (1+cot ^2 A) = 1 i got as far as the second step (sin^2 ...
A: Divide the entire equation by sin²A and you get 1 + cos²A/sin²A = 1/sin²A. It is known that ...
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| trig | 7/21/2009 |
Q: given: 0<or= X <360 degrees Solve: 1) 3tan 3X- square root of 3= 0 2) 3csc X/2 - 2square root of 3= ...
A: 1) The problem is: 3 tan 3X - √3 = 0. This can be seen to be 3 tan 3X = √3, or tan 3X ...
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| abstract algebra | 7/21/2009 |
Q: Scott, I have an abstract algebra question. Given that componentwise addition of two elements in R^2 ...
A: It is known that (a,b) + (c,d) is (a+b, c+d). It can be seen that phi(a,b) + phi(c,d) = (b,a) + ...
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| Trigonometry | 7/20/2009 |
Q: Establish the identity. (cos x/2 - sin x/2)^2=1 - sin x
A: It is known that (cos x/2 - sin x/2)² = cos²x/2 - 2 sin x/2 cos x/2 + sim²x. Lets look at the left ...
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| Trigonometry | 7/20/2009 |
Q: Verify that the equation is an identity sin x+cos x/sin x- cos x=1+2sin x cos x/2sin^2x-1
A: I will assume this is really (sin x + cos x)/(sin x - cos x) = (1 + 2sin x cos x)/(2sin²x-1). ...
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| pi | 7/20/2009 |
Q: First of all, I am a layperson, and a pretty ignorant one at that, so pretend I'm a five-year old, ...
A: Dimensions ------------------- pi is used in many dimensions. 1 If pi is being looked at in 1 ...
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| Trigonometry | 7/20/2009 |
Q: Write the expression in terms of sine and cosine, and simplify so that no quotients appear in the ...
A: Multiplying by csc x gives cscx*sinx + cscx+cosx. It is known that csc x = 1 / sin x, so what we ...
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| trig question | 7/20/2009 |
Q: A passenger in an airplane flying at an altitude of 10km sees two towns directly to the left of the ...
A: The altitude is 10 km. That is the far side on the triangle. The angles are 28 and 55 degrees. To ...
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| % Solution problem | 7/19/2009 |
Q: 1000 liters of a solution was 60% alcohol, however a 45% alcohol solution was needed. How many ...
A: Note that 37% = 0.37. There are 1000 liters. It is 60% alcohol, so there are 600 liters of alcohol ...
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| pre-cal | 7/19/2009 |
Q: Solve for x. Write the answer in interval notation. 27 < 6x - 3(x - 9) < 54 2
A: Where is the 2 below the equation suppose to be? Is it suppose to be below the 3(x-9)? Lets just ...
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| Trigonometry | 7/19/2009 |
Q: What is the exact value of cos 22.5 degrees using a half angle id?
A: We know that cos 45 degrees = rt(2)/2. It is also known that cos(a) = 2 cos^2(a/2) - 1. We know ...
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| smallest surface area | 7/19/2009 |
Q: Is it possible to work out the smallest surface area when you only have the following facts. You ...
A: What gives the smallest surface area is a cube. This would be a little bit difficult to carry. To ...
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| simplex algorithum | 7/18/2009 |
Q: I searched simplex algorithum solver and put in the problem...came up with NaN??? Also, for Affine ...
A: Yes, those are the answers to the math problem. I have no idea how to come up with a affine cypher. ...
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| trigonometry | 7/16/2009 |
Q: prove the following trigonometric identities: 1- cot^2/1+cot^2 = sin^2-cos^2
A: Since cot^2 is cos^2/sin^2, multiply the top and bottom by sin^2. Notet that cot^2*sin^2 = cos^2 ...
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| abstract algebra | 7/16/2009 |
Q: Scott, I have an abstract algebra question. Given that componentwise addition of two elements in R^2 ...
A: A homomorphism is a function with the property that for some constant k and a point (x,y), ...
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| angle of depression | 7/16/2009 |
Q: find the angle of depression from the top of a lighthouse 250 feet above water level to the water ...
A: One distance is 250 feet. The other is 2 miles. It is known that 1 mile is 5280 feet, so this ...
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| advance math | 7/16/2009 |
Q: 1.State the vertex of x2 – 2x – y = 0. 2.State the equation of the directrix of(y – 4)2 = –8(x – ...
A: 1. State the vertex of x2 – 2x – y = 0. The vertex is where the minimum is. Since x^2 - 2x factors ...
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| Proceeds | 7/13/2009 |
Q: On June 30, 2007, Simon Company discounted a customer’s $180,000, 6-month, and 10 percent note ...
A: Maturity What you did was calculate the amount of interest paid at the time of maturity. However, ...
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| calculus | 7/13/2009 |
Q: Find the indicated term of the sequence : 1. an = 5n + 6/n-6 a12 = ...
A: 1. a12 = (5(12) + 6)/(12-6) = n66/6 = 11. 2. Now n2/2 is just n. Is that suppose to be n²/2? a20 = ...
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| Maths Question | 7/13/2009 |
Q: What is the smallest number that is divisible by 2,3,4,5,6 and when you divide it has a single digit ...
A: The smallest number that can be divided by 2, 3, 4, 5, and 6 that has a single digit left over is 7. ...
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| algebra help please? | 7/12/2009 |
Q: 22. y/y+2 – 2/ y+3= 10/ y^2+y-6 a) y= -2 or 3 b) y=0 or -2 c) y= 2 or -3 d) not given ...
A: 22. I'll assume the problem is really y/(y+2) - 2/(y+3) = 10/(y²+y-6). It can be seen that y²+y-6 ...
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| Similarity Problem | 7/12/2009 |
Q: I've got a maths problem: Let ABC be a triangle. Two straight lines which are parallel to the side ...
A: Let C be the top of every triangle mentioned. The area of any such triangle will be kl² where k is ...
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| proving by induction! | 7/12/2009 |
Q: my question is how to prove by induction that for every n ≥ 1 or 2, fib(3n) is even, that is, ...
A: Let us assume that for some n that fib(3n) is even, f(3n+1) is odd, and f(3n+2) is odd. Since we ...
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| abstract algebra | 7/11/2009 |
Q: Scott, I have an abstract algebra question. Given that componentwise addition of two elements in R^2 ...
A: onto Let us pick some random point (a,b). To get to that point, take the point (b,a) and look at ...
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| volume of washer in sq. in. | 7/11/2009 |
Q: "Item is 1.895 O.D. x 1.625 I.D. x .437 thk. What is volume? Answer needs to be in square inches." ...
A: From what I understand, O.D. is outside diameter and I.D. The volume would be π(R²-r²)T where R ...
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| Investment Profit - Percentage | 7/10/2009 |
Q: An investor invest $100.00 for one year at simple interest. At the end of one year his investment ...
A: Yes, the profit is $50. If the fee were charged on the original $100, it would be $2.50. If the ...
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| Investment Profit - Percentage | 7/10/2009 |
Q: An investor invest $100.00 for one year at simple interest. At the end of one year his investment ...
A: Is the 2.5% fee only on the $50.00 that he made? In that case, 2.5% is the same as 2.5/100 = ...
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| Double angle | 7/10/2009 |
Q: I know part i) but part ii) i only finished halfway because i dont know how to find a. i) express ...
A: To get the second angle, look at the sin() wave. It is symmetrical around 90 degrees. For example, ...
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| abstract algebra | 7/10/2009 |
Q: I need to explain using abstract algebra how to geometrically construct a square with an area equal ...
A: The is a way to find an angle that is 1/3 of an angle less than 90 degrees. ...
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| calucus | 7/9/2009 |
Q: Write the first four terms of the sequence. (Assume n begins with 1) 1. an = 3n + 7 2. an = 3n + 1 ...
A: 1. The terms area 3n + 7. If the sequence is 3n + 7, the first four terms are 3(1) + 7, 3(2) + 7, ...
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| Double angle | 7/9/2009 |
Q: I know part i) but part ii) i only finished halfway because i dont know how to find a. i) express ...
A: For part 2, we know that 5 sin 2A + 12 cos 2A = 11 for A between 0 and 180 degrees. It is also ...
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| Algebra | 7/9/2009 |
Q: If the fractions ax/x+y), (bx/x-y) and (c/2x+2y) are rewritten as equivalent fractions with the ...
A: The 1st fraction has an (x+y) in the denominator. The 2nd fraction has an (x-y) in the denominator. ...
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| Algebra | 7/9/2009 |
Q: -4a^2b/3x x ax/bc-
A: Is this problem (-4a²b/3x)(ax/bc)? Is so, here is what I see: Constants: There is a -4 in the ...
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| Mechanics on Kinematics | 7/7/2009 |
Q: A train travels from A to B,a distance of 20000m,taking 1000s.The journey has 3 stages.In the first ...
A: Note that I don't know if there is an exact answer. I am sending you what I have worked out so far. ...
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| Probability Question | 7/7/2009 |
Q: Assume playing blackjack with a basic blackjack strategy which will win 48% of the hands. Also ...
A: Each time the game is played is independent of the last. So if you have already lost 5 in a row, ...
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| Pascal's triangle | 7/6/2009 |
Q: I don't understand this.... Find a relationship between entries in Pascal's triangle and the maximum ...
A: Now Pascal's triangle I'll start with row 0, which is 1. Row 1 can be seen to be 1 1. Row 2 can be ...
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| permutation and combination | 7/5/2009 |
Q: 1)A coin is tossed 14 times.Heads occurs 8 times and tails 6 times.The second and thirteen tosses ...
A: 1) It is known that a head occurs on the 2nd and 13th flips of a coin. It is also known that a ...
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| abstract algebra | 7/4/2009 |
Q: Scott, I have an abstract algebra question. Given that componentwise addition of two elements in R^2 ...
A: An automorphism is an invertible linear transformation. In this case, the automorphism is in 2 ...
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| Statistics | 7/4/2009 |
Q: Why is the standard deviation used to get the 'average' deviation between a data value and the mean ...
A: Take three number sets. Set A: 1,2,3 Set B: 2,3,4 Set C: 1,2,2,3,3,4 Now it can be seen that set C ...
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| Line of intersection of 2 plane | 7/4/2009 |
Q: Two planes have equations 2x-y-3z=7 & x+2y+2z=0.Find a vector equation for their line of ...
A: Let z = a. The two equations become 2x - y = 7 + 3a and x + 2y = -2a. The right sides are ...
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| Matrix representaton of transformations | 7/3/2009 |
Q: I recently learned in my undergrad linear algebra class that any linear transformation performed on ...
A: I'm a little rusty at Laplace Transforms, but from what I know, a Laplace Transform is not worried ...
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| volume of odd shaped pyramid | 6/25/2009 |
Q: I'm trying to calculate the volume of a solid that is similar to a pyramid. If you picture the base ...
A: The volume of a pyramid is Ah/3 where A is the area of the base and h is the height. I had to think ...
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| Scale | 6/25/2009 |
Q: Plastic model kits are reduced to a scale from the original much larger version. For example, on a ...
A: This scale indicates that every inch of the model aircraft is equivalent to 32 inches on the plane. ...
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| trig. | 6/25/2009 |
Q: 3)Sketch the angle in standard position, indicating its rotation by a curved arrow. Choose the ...
A: I take measurements between 0° and 90° to be in quadrant I 90° and 180° to be in quadrant II, 180° ...
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| statistics in testing | 6/25/2009 |
Q: why correlation coeficient in testing validity of a parallel test never become negative?it's always ...
A: The correlation coefficient is how much interaction there is between the variables and is known as ...
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| trigonometry | 6/24/2009 |
Q: how do i simplify cos(1/2sin^1(7/25)) without using a calculator?
A: Simplify cos(1/2sin^1(7/25)) without using a calculator. That is better written as ...
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| Inequalities | 6/24/2009 |
Q: Given: a^2 + b^2 =1 ; c^2 + d^2 = 1 Prove; ac + bd is equal to or less than 1
A: Let's look at the function a^2 + b^2. O put the variable a in a spreadsheet from 0 to 1 by 0.1, in ...
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| Right Triangle Trigonometry | 6/23/2009 |
Q: Given right Δ ABC with <C = 90°, a = 12, b = 5 , find the indicated trig function in simple ...
A: It is known that the tan() is the oppositve over the adjacent. Since side a is opposite angle A, a/b ...
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| Proving Identities | 6/23/2009 |
Q: Sinx(secx+cscx)=tanx+1 ANSWER: Multiply the left side out and you get sinx secx + sinx cscx. Since ...
A: Take sin^4A - cos^4A. Replace one of the two sin^2A in the first expression with 1 - cos^2A. ...
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| Proving Identities | 6/23/2009 |
Q: Sinx(secx+cscx)=tanx+1
A: Multiply the left side out and you get sinx secx + sinx cscx. Since secx = 1 / cosx and cscx = 1 / ...
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| calculus | 6/22/2009 |
Q: 1.find the exact refernceandle for 6pi/7 2.convert5pi/4 radians into degree measure 3.Find the value ...
A: 1.find the exact refernceandle for 6pi/7 The reference angle is between 0 and π/2. If it is ...
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| calculus | 6/22/2009 |
Q: 1.Find the exact reference angle for 4pi/7 2. Find the exact value of tan(arccoss 3/5) 3.Find the ...
A: 1.Find the exact reference angle for 4π/7 The reference angle is between 0 and π/2. Since ...
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| Pre calculus | 6/22/2009 |
Q: 1. log3x-log3(x-3)=2 2.log2x-log2(x-2)=3 3. 2^x=6 4. e^x+3=8 5.log13x/5 6. log381=x
A: 1. It is known that with log, subtracting two is the same as dividing the insides. In other words, ...
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| pre calc | 6/21/2009 |
Q: So out of 5 assignments these were the only ones i got stuck on. Can you show me the steps?? 1. ...
A: 1. Find the length of v given that the initial point of v is (0,-1,0) and the final point of v is ...
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| Polar and Rectangular form | 6/21/2009 |
Q: 1. Convert x=a to Polar form. 2. Convert r=4 cos theta into rectangular form. 3. Find the ...
A: Polar is (r, Θ) and rectangular is (x, y). The relation between them is r² = x² + y² and ...
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| About Normal distribution | 6/20/2009 |
Q: 400 pupils sit a test which consists of 80 true-false questions. None of the candidates knows any of ...
A: Yes, n should be 80, for that is the number in each test. Now to solve part a, n is 80 and p is ...
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| Standard normal variable | 6/20/2009 |
Q: A certain tribe is distinguished by the fact that 45% of the males have 6 toes on their right foot. ...
A: I have all four problems answered and will be sending them shortly. Unless of course something else ...
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| De-standardising | 6/20/2009 |
Q: Two hundred fair dice are thrown 1000 times. Use the normal approximation to the binomial ...
A: Since there are only 200 choices, 200*6 is 1200, which is far more than 200. You use 200/6 because ...
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| Continuity correction | 6/20/2009 |
Q: A lorry load of potatoes has, on average, 1 rotten potato in 6. A greengrocer tests a random sample ...
A: I was 1/6 since one of of 6 potatoes is bad. If she finds 18 or less, the lot is accepted. The ...
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| Your Opinion | 6/20/2009 |
Q: I was wondering if you would be able to help me out. You see, I am going into high school and enjoy ...
A: I believe you should study hard at what interests you. However, don't just study hard at math. Be ...
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| dice probability question | 6/19/2009 |
Q: Complete the probability distribution table for the experiment of rolling a pair of dice until a sum ...
A: There is 1 way to roll a 12, 2 ways to roll and 11, 3 ways to roll a 10, 4 ways to roll a 9 and 5 ...
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| Trig | 6/18/2009 |
Q: Find exact value of sin2theta, cos2theta, tan2theta for the angle described: costheta=24/25 ...
A: FOr cos(Θ)=24/25 and the angle is in quadrant IV means y is negative. It also mean that x=24 ...
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| precaluculus | 6/18/2009 |
Q: 1.f(x)=x2-4 2.y=3x+2 3.f(x)X2-6x 4.f(x)=x/x2-4 5.f(x)= 3x2+5x when f(x)=2.....please asap
A: I'm not sure exactly what is being sought, but given that this is pre-calculus, I bet that it is ...
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| Hello | 6/18/2009 |
Q: Scott, I need help with these. Can you please help? 1) Convert (10011110)^2 to a hexadecimal ...
A: The ^ is usually reserved for powers. What if you said (10011110)B2 as 10011110 in base 2 or ...
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| Probability | 6/17/2009 |
Q: The telephone company has run out of seven-digit telephone numbers for a new area code. Find the ...
A: The first digit cannot be 0 or 1 means there are only 8 possibilities for the first digit and 10 for ...
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| precalculus | 6/17/2009 |
Q: Solve for x : 1. 4x+1 = 64 2. log 10 x – 2 = 0 3. ln x – ln 5 = 0 4. ( ½ )x ...
A: 1. 4x+1 = 64, subtract 1 from both sides, giving 4x = 63, divide both sides by 4. 2. log 10 x ...
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| Precalculus | 6/17/2009 |
Q: Evaluate the expression without a calculator : 1. log 4 64 2. log 5 ( 1/25) 3. log ½ 16 4. log ...
A: Evaluate the expression without a calculator : 1. log 4 64 The problem is 4^x = 64, and that is 3 ...
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| Precalc help | 6/17/2009 |
Q: I'm totally lost, can you please please explain this problem. x^2-9y^2=9 list the x and y ...
A: The y intercepts would be where x is 0. This means that -9y^2 = 9, or y^2 = -1, which is not ...
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| Number Systems | 6/17/2009 |
Q: For which number system is this true for (a+b)^2 = a^2 + b^2
A: If the right side is squared out, the answer is a^2 + 2ab + b^2. So we have a^2 + 2ab + b^2 = a^2 + ...
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| Accounting | 6/15/2009 |
Q: Question CP2-1 Determining Financial Statement Effects of Various Transactions: L01, L02 Lester's ...
A: The total credits are $40,000 sale of stock and $4,000 sale of land. The total is $44,000. The ...
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| Harder Examples of the Binomial Theorem | 6/14/2009 |
Q: So the question is "What is the coefficient of (x^7) in the expansion ((1+2x)^4)((1-2x)^6). We were ...
A: The coefficients are the numbers in Pascal's triangle. For n = 4, they are 1 4 6 4 1. For n = 6, ...
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| Solution of linear equations | 6/13/2009 |
Q: Use Gauss or Gauss-Jordan elimination to find for what value of k the following system of equations ...
A: See the attached image. It has no solution when any of the expressions for k in the final matrix ...
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| About Normal distribution | 6/13/2009 |
Q: 400 pupils sit a test which consists of 80 true-false questions. None of the candidates knows any of ...
A: There are 400 pupils, 80 questions per test. The average number of correct answer is 1/2, so the ...
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| Standard normal variable | 6/13/2009 |
Q: A certain tribe is distinguished by the fact that 45% of the males have 6 toes on their right foot. ...
A: Again, the binomial is being approximated with the normal. The number n is 200. The probability p ...
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| De-standardising | 6/13/2009 |
Q: Two hundred fair dice are thrown 1000 times. Use the normal approximation to the binomial ...
A: There are 200 dice, thrown 1000 times. The expected number of 6's in each toss is 200/6 = 100/3. The ...
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| The Normal approximation to binomial distribution | 6/13/2009 |
Q: in a series of n independent trials the probability of a 'success' at each trial is p. If R is the ...
A: For (a), the binomial can be used. Calculate it for k = 3. For (b), calculate 1 - P(all red). ...
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| Continuity correction | 6/13/2009 |
Q: A lorry load of potatoes has, on average, 1 rotten potato in 6. A greengrocer tests a random sample ...
A: Use n = 100 and p = 1/6, so 1 - p = 5/6. Approximate this with a normal distribution. The mean is ...
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| The normal distribution | 6/13/2009 |
Q: When i look at the question, my head totally blank. I'm stuck, i cant work out which is n which is ...
A: a) The number of times is 200; the chance of a 6 is 0.25. i) the chance of more than 60 can be ...
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| adding different bases but same exponent | 6/13/2009 |
Q: a^x = b^x (a and b are arbitrary constants). Easy enough to solve for x, right? But what about: a^x ...
A: Previous Answer: It has been shown that this equation can't be solved for x > 2 since the form is ...
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| finding rule from function table | 6/11/2009 |
Q: I'm in the 6th grade and I cannot find the rule from the follwing table. x=1, 5, 9 y=5, 1, -3 I ...
A: The values of x were 1, 5, and 9. The values of y were 10, 8, and 6. Note that the numbers must be ...
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| finding rule from function table | 6/11/2009 |
Q: I'm in the 6th grade and I cannot find the rule from the follwing table. x=1, 5, 9 y=5, 1, -3 I ...
A: What you are missing is that you need to look at the differences between each consecutive element. ...
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| solving inequalities | 6/10/2009 |
Q: can you solve this problem n^2*5 fraction bar> ----->9.5 5^2 ANSWER: ...
A: I put 7 in Excel, and I got 9.8. The formula I used was putting a 7 in A1 and putting a =A1^2*5/5^2 ...
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| solving inequalities | 6/10/2009 |
Q: can you solve this problem n^2*5 fraction bar> ----->9.5 5^2 ANSWER: ...
A: The last problem had what I thought was a typo, and you just clarified it to make sure my ...
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| solving inequalities | 6/10/2009 |
Q: can you solve this problem n^2*5 fraction bar> ----->9.5 5^2 ANSWER: ...
A: In that case, you have 5n²/25 > 9.8. { I like to put 5n^2 (5n²) rather than n^2*5, so that it is ...
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| solving inequalities | 6/10/2009 |
Q: can you solve this problem n^2*5 fraction bar> ----->9.5 5^2
A: I'm not sure exactly on the problem, since this langue does not translate multiple line correctly. ...
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| math learing problems | 6/10/2009 |
Q: i have a question for you I have a real hard time with math,I have a learing disablity know as ...
A: Note: Though this question was to me, it wan't private, which means others will see who it was to. ...
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| Transposing/ Subject of formula | 6/9/2009 |
Q: S=U+1/2gtsqured making "t" the subject
A: Is that formula suppose to be S = U + gt²/2? To solve for t, first move every expression that has ...
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| math | 6/9/2009 |
Q: Convert 890mm to centimeters. A.0.89cm B.8.9cm C.89cm D.8.900cm
A: I is known that the European measuring system is like, I say, user friendly. 10 mm = cm, 10 cm = ...
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| Subtracting Decimals | 6/9/2009 |
Q: I am trying to figure how to solve decimals with nothing to borrow from. Ex... 0.0025 - 0.075, 0.9- ...
A: The best way to subtract a large number from a smaller number is to reverse them. When finished, ...
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| advanced algebra | 6/8/2009 |
Q: standard deviation of 10,10,54,39,96,91,91,18
A: To find the standard deviation, other things must be done first. The number of values is 8. The ...
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| Trigonometry: Polynomial Functions | 6/7/2009 |
Q: Determine the equation of the given function f(x)=k(2x-3)(x+4)(3x-5)(x-10) ? Also, if I am given ...
A: The graph would cross the axis every where x is 0. This can be seen by looking at each set of ...
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| math | 6/7/2009 |
Q: Find the value of the expression by using logarithms. 1.05^(9) A.0.15514 B.1.5514 C.80.742 D.9.45
A: The 1.05^9 is the sames as e^(ln(1.05^9)) since e^x and ln(x) are inverses of each other. When the ...
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| Geometric Sequences | 6/6/2009 |
Q: I need help with the followingFind all the geometric sequences such that the sum of the first two ...
A: A geometric series is a, ab, ab² where a is a constant and b is a number to a one higher power each ...
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| sequence for calculating flea populations. | 6/5/2009 |
Q: As a vet I'm constantly trying to explain the population growth rates for fleas reproducing under ...
A: I designed a program for you in C++. It assumes that there are 2 fleas to start with (doesn't it ...
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| Calculus Problem | 6/5/2009 |
Q: I am having difficulty solving this problem. Could you please help explain the solution to me step ...
A: The answer would depend on the area of the cone in the cross section at that height. Since the ...
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| math | 6/5/2009 |
Q: Find the value of the expersion by using logarithms. 7.864^(1.405) A.2.3053 B.11.049 C.18.129 ...
A: Using logarithms, it is known that 7.864^(1.405) = e(ln^(7.864^(1.405))). With ln, you can take ...
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| Calculus | 6/4/2009 |
Q: what is the integral of sqrt(x^2+3)dx using ln?
A: Such a small little problem with such a big solution... I tried u = ln(x), ln(u) = (x²+3)^0.5, and ...
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| Trig identities | 6/4/2009 |
Q: csc2x-cot2x=tanx
A: It is known that csc2x = 1/sin2x = 1/(2sinxcosx). It is known that cot2x = cos2x/sin2x = ...
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| Solving Sequence related math problems | 6/4/2009 |
Q: .. I am preparing for my SAT in three days and I have been out of highschool for nearly 4 years. ( I ...
A: Sorry about that, so here is the right answer. The 1st number is 3. 1st is odd, so add 2. This ...
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| Curve Sketching | 6/4/2009 |
Q: this is my first time posting on this board. Let me first off just say Great Service! I was just ...
A: Known facts laid out easy to read: f(-2) = 8 f(0) = 4 f(2) = 0. f'(x) > 0 for |x| > 2 f'(x) < 0 for ...
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| math | 6/4/2009 |
Q: Use logarithms to solve problem Divide 0.05555 by 0.0008601 A.0.015484 B.0.04778 C.64.584 D.6.4584
A: N1 0.05555 First number given N3 0.0008601 Second number given N3 -2.890471763 ln(N1) ...
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| math | 6/4/2009 |
Q: On a certain street, a section having an area of 4896.7 square yards is paved at an expense of ...
A: Take the $12,642.17 and divide it by 4896.7 to get the price per yard. This comes out to around ...
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| Pre-calculus | 6/4/2009 |
Q: Deduce the Equation: 2aX=-b+or-(b*2-4ac)*1\2 If ax*2+bx+c=0
A: Take ax² + bx + c = 0 and subtract the c from both sides giving ax² + bx = -c. Factor out the a, ...
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| Trigonometric Identities.. | 6/4/2009 |
Q: Prove that for all θ, tan² θ / sin² θ = 1 + tan² θ, then check the identity ...
A: It is known that tanΘ = sinΘ/cosΘ. Squaring both sides gives us tan²Θ = ...
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| please help!! | 6/4/2009 |
Q: 3x+y-2z=10 6x-2y+z=-2 x+4y+3z=7 solve the system.
A: Convert this into the augmented matrix and get R1: 3 1 -2 10 R2: 6 -2 1 -2 R3: 1 4 3 7. Now since ...
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| Proving Identities | 6/3/2009 |
Q: I have 3 identities that cannot prove...here they are... X=theta ^2=squared ^3=cubed tan X-(sec^2 ...
A: tan X-(sec^2 X/tan X)=-cot X On the first one, it is known that tanX = sinX/cosX and sec²X = ...
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| Solving Sequence related math problems | 6/3/2009 |
Q: .. I am preparing for my SAT in three days and I have been out of highschool for nearly 4 years. ( I ...
A: The 1st term is 3. The 2nd term is 5. The 3rd term is -2nd term = -5. The 4th term is -5+2 = 3, ...
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| trigs | 6/3/2009 |
Q: prove that: tan(x/2+ pie/4) = secx + tanx (i could find the symbol for pie so i used the word ...
A: This problem has two parts. The first part is that the angle is (X + pi/2)/2. It is known that ...
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| math | 6/3/2009 |
Q: Find the numbers corresponding to the given logarithms. 9.27631-10 A.1.8893 B.0.18893 C.0.018894 ...
A: First, we need to compute 9.27631-10. It is found to be x. Once that value is gotten, compute 10^x. ...
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| math | 6/3/2009 |
Q: Find the corresponding to the given logarithms. 0.81293 A.0.65003 B.0.62007 C.6.5003 D.6.5007
A: I wasn't sure what was meant, so I did the following: Given the numbers A 0.65003 B 0.62007 ...
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| algebra simplification | 6/3/2009 |
Q: x^4+y^4 divided by x-y
A: It is best if this is done by quasi-long division. If we let the x^4 + y^4 be a set of numbers such ...
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| Integration Problem | 6/3/2009 |
Q: I'm trying to solve the following integral: integral t^2 / sqrt(t-1) dt I have tackled this problem ...
A: If we let u = √(t-1), then du = 1/√(t-1) dt. Notice that 1/√(t-1) is in the ...
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| Geometry type problems. | 6/3/2009 |
Q: I have more than one question & if it's possible, I would like to know the steps to each question ...
A: ON new questions, it is best to send another letter, now a follow up. I almost didn't answer right ...
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| math | 6/2/2009 |
Q: What are the logarithms of the numbers? 2346 A.2.37033 B.3037033 C.4.37033 D.5.37033
A: I believe the answer to be B, but it looks like a typo was made. The log(2346) = 3.37033. Is that ...
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| Geometry type problems. | 6/2/2009 |
Q: I have more than one question & if it's possible, I would like to know the steps to each question ...
A: That was silly to think of it as time. I should have realized that it was 12 to 30. Since both ...
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| Mathematics of finance | 6/1/2009 |
Q: My name is Ben and I am having a problem answering a question in my finite math course. A 1000 ...
A: The interest rate of 3% compounded monthly is (3%/year)(year/12 months) = 0.25%/month. That's the ...
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| Tangent Table for Obtuse Angles | 6/1/2009 |
Q: Is there a table that shows the tangents for obtuse angles, and if so is there a website I can go ...
A: It is known that the tan() of an angle large than 90° is 1 over the tangent of 180° - the angle in ...
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| Geometry type problems. | 6/1/2009 |
Q: I have more than one question & if it's possible, I would like to know the steps to each question ...
A: Percentages are just like decimals with the decimals slid over 2 places. For example, 0.5 is really ...
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| algebra | 6/1/2009 |
Q: 7/2x + 1/2x = 3x + 10/2 + 7/2x
A: 7/2x + 1/2x = 3x + 10/2 + 7/2x Is the problem suppose to be 7x/2 + x/2 = 3x + 10/2 + 7x/2? I've ...
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| algebra 2 | 5/31/2009 |
Q: how do you solve the equation log(4)(2x-6)=3
A: Since there is a log(4) out front, divide both sids by log(4). That gives 2x - 6 = 3/log(4). After ...
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| Proving Trig Identities | 5/31/2009 |
Q: I was having afew problems with some questions I why given to do. How do you prove the following? ...
A: Note the following identities: sin²(x) + cos²(x) = 1; tan(x) = sin(x)/cos(x); cot(x), which I ...
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| Integration | 5/31/2009 |
Q: Find the area of the region enclosed between the curves y=x^2 and y=2^x and the lines x=1 and x=5.
A: To find the area between two curves, find out if they intersect in the region given. Here, the ...
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| Advanced Math | 5/31/2009 |
Q: A car dealer sells a SUV for $39,000, which represents a 25% profit over the cost. What was the cost ...
A: If the amount over cost is 25%, that is 1/4 of the cost. The original cost has a factor of 1 = 4/4. ...
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| Integration | 5/30/2009 |
Q: Find the area of the region enclosed between the parabola y=3x^2+x+1 and the line y=3-4x. Thanks ...
A: First we need to find where the two curves intersect. Setting them equal gives 3 - 4x = 3x² + x + 1. ...
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| math | 5/30/2009 |
Q: A person invested $10,000. The greater part is invested at 6% and the remainder at 5%. The annual ...
A: Since we are looking for the smaller part, lets call that x. The larger part would be 10,000 - x. ...
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| math | 5/30/2009 |
Q: Which one of the following is an intermediate step if the given equations are to be solved by ...
A: To eliminate a variable, the need to have the same coefficient out front with opposite signs. In A, ...
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| math | 5/30/2009 |
Q: A bicyclist and a hiker leave the same place at the same time and travel in the same direction. The ...
A: The biker travels 3 times as fast as the hiker. At the end of 3 hours, they are 24 miles apart. ...
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| pre caluculus | 5/29/2009 |
Q: Find the equation of the asymptote for f(x)=e^x -2 and use a limit expression to describe the ...
A: To find the assymptote of f(x) = e^x - 2 using limits, take lim h->0 of (f(x+h)-f(x))/h. That is, ...
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| math | 5/29/2009 |
Q: How is the following system of equations classified? 9x-3y=24 y=3x-8 A.Dependent ...
A: I believe it is best to solve for y and then compare them in this case. For the first, subtract 9x ...
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| The Binomial THeorem | 5/29/2009 |
Q: The question asks to find the coefficient of x^6 in the expansion of (2+x)(4-3x)^16. I manage to ...
A: The coefficient on x^6 would be the sum of two coefficients. It would be 2*(coefficient on x^6) + ...
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| math | 5/29/2009 |
Q: What mulitplier should be used for each of the following equations to eliminate one unknown by ...
A: The coefficients of x are 3 and 2, and the same sign, so the first equation could be multiplied by ...
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| exponential equations | 5/29/2009 |
Q: I have a question which I havent been able to answer. My teacher gave me my final last week and I ...
A: Use Excel. Put 0 in A1, 2 in A2. Put =A1-B1*(A2-A1)/(B2-B1) in A3. Put =2^A1+2^-A1-3 in B1. Copy ...
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| Addition of probabilities | 5/28/2009 |
Q: A bag contains 10 counters,of which 6 are red & 4 are green.A counter is chosen at random;its colour ...
A: P(R) = 6/10 = 3/5. P(G) = 4/10 = 2/5. P(R,R) = (3/5)² = 9/25. P(R,G) = (3/5)(2/5) = 6/26. P(G,R) = ...
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| Conditional probability | 5/28/2009 |
Q: The chevalier du mere problem.A seventeenth-century french gambler,the chevalier du mere,had run out ...
A: The chance of a 6 is 1/6. The chance of 2 6's is (1/6)(1/6) = 1/36. The chance is the same on each ...
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| Independent events | 5/28/2009 |
Q: Two chess players,k1 & k2,are playing each other in a series of games.The probability that k1 wins ...
A: Construct a tree with 3 branches. Branch 1 is a draw with a probability 0.5. Branch 2 is k1 wins and ...
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| Alg. 2 | 5/28/2009 |
Q: 1. What is the most possible number of solutions of one circle and a straight line in the same ...
A: 1. What is the most possible number of solutions of one circle and a straight line in the same ...
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| Probability | 5/28/2009 |
Q: I know how to do part a) but i dont know how to do part b). Please guide me in part b.a)calculate ...
A: It looks like part b is to calculate the number of numbers over 800. To be greater than 800 out of ...
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| Variance | 5/28/2009 |
Q: a bag contains 5 identical discs, 2 of which are marked with the letter A & 3 with the letter B. The ...
A: There are 5 discs, only 2 red. Now C(n,k) was defined to be n!/(k!(n-k)!)). The chance of getting ...
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| Expectations & variance | 5/28/2009 |
Q: In the mass production of a certain component it is found that 5% are defective. Components are ...
A: Since 5% are defective and each box contains 10, we need the probability that each box contains no ...
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| Special discrete probability distributions | 5/28/2009 |
Q: In a bag there are 6 counters, 8 yellow counters & 6 green counters. A counter is drawn at random ...
A: Now the problem states 'In a bag there are 6 counters, 8 yellow counters & 6 green counters.' I ...
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| math | 5/28/2009 |
Q: Solve the following equations 4ax+by=11ab 8ax-5by=ab A. x=3a,y=2b B. ...
A: It can be see that if the first equation is multiplied by -2 and added to the the second equation, ...
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| Empty Sets | 5/19/2009 |
Q: Hey there, Scott. I'm a college student who has never really grasped the concept of an empty set. I ...
A: The number 0 is a number. It can be treated like any ohter element. If a set has an element, its ...
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| trignometry | 5/19/2009 |
Q: a tree 12 meter high is broken by the wind in such a way that its top tuches the ground and makes an ...
A: Oh yeah, now and then I goof up and do one wrong. The angle is 60° with the ground. That means the ...
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| math | 5/19/2009 |
Q: Find the least common denominator of the fractions. (1)/5a^2x, (1)/12a^3x^2, and (1)/2ax^4
A: I assume the fractions are 1/(5a^2x), 1/(12a^3x^2), and 1/(2ax^4). Common Factors ...
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| proving trig identity | 5/19/2009 |
Q: cos2x/1+sin2x = cotx-1/cotx+1
A: The question on the right side is (cotx - 1)/(cotx + 1). So lets take the and make it look lie ...
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| math | 5/19/2009 |
Q: 5a-4/3x^2 MULTIPLY BY x/25a^2-16 =
A: Do you mean [(5a-4)/3x^2][x/(25a^2 - 16)]? I believe you do, so what we get is by mulitplying ...
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| coefficent | 5/18/2009 |
Q: what is the coefficient of k when -8p+k(3^3+5*2)+6k-3(4k+9)
A: To get the coefficient, multiply it out and look for terms with k. The expression, ...
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| math | 5/18/2009 |
Q: 3 multiply by 2a/5c multiply by cd/ab =
A: Is that 3(2a/5c)(cd/ab)? The answer is 6d/5b. I've gotten use to that meaning 6d divided by 5b. ...
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| arithmetic | 5/18/2009 |
Q: A number K, is a positive integer with the special property thet 3 times its unit is equal to 2 ...
A: Take the number as NM, two digits, in between 10 and 99. There are N 10's and M 1's. It says that ...
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| 10% Profit | 5/18/2009 |
Q: An investors buys 100 shares of stock where he is employed at $50.00 per share. Brokerage commission ...
A: To buy 100 shares when the price is $50 per share is %5000. He pays $20 when buying them and $20 ...
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| math | 5/17/2009 |
Q: Solve the equation: 0.9x+0.5 = 0.4x+2.5
A: To solve the equation, put the x's on the left and the constants on the right. This is how to sove ...
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| function for a graph | 5/17/2009 |
Q: can you find me a function for r=1 [a circle] an x parameter[it represents angles from 0 to 360] and ...
A: If the point is on the circle with radius r, angle Θ, and x1 is in the x direction and x2 is in ...
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| function for a graph | 5/17/2009 |
Q: can you find me a function for r=1 [a circle] an x parameter[it represents angles from 0 to 360] and ...
A: Do you mean polar coordinates? In polar coordinates, r is the distance from the origin and Θ ...
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| math | 5/17/2009 |
Q: Simplify the following expression: [(32ab-8cd+20ef)divide by 2]+2xy
A: The expression is [(32ab-8cd+20ef)divide by 2]+2xy. To divide each of the starting compents by 2 ...
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| Work related problem | 5/17/2009 |
Q: A person employs 45 workers to complete a project in 45 days. Only half of the project was ...
A: Since they took up 2/3 of the time to complete half the project, this means that they only have 1/3 ...
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| Coin probabilites of a spun coin and on edge | 5/16/2009 |
Q: I saw a video lecture on mathematics (taught by reputable PhDs) and they said that a penny spun will ...
A: There was probably something else in the discussion. The chances of a head and a tail are both ...
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| math | 5/16/2009 |
Q: Factor the trinomial: x^2-11x+18
A: tri- refers to 3. The highest power of x is 2, however, so I have heard them referred to as ...
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| compound interest and simple interest | 5/16/2009 |
Q: In Township K each property is taxed at 8% of its assessed value.If the assessed value of a property ...
A: THere are two different approaches. A) This is an increase of $24,000 - $20,000 = $4,000. 8% is $8 ...
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| consecitive odd integers | 5/16/2009 |
Q: If the first and third of three consecutive odd integers are added, the result is 87 less than 5 ...
A: The first number is n. The second number, then, is n+2. The third number is n+4. What we want is (n ...
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| math | 5/15/2009 |
Q: By using the Factor Theorem, find the prime factors of the polynomial. x^3-x^2-17x-15
A: First try: (x+1) 1 1 into 1 -1 -17 -15: First multiplier: 1, so 1 1. Result 0 -2 -17 -15. Second ...
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| alegebra | 5/14/2009 |
Q: i can't seem to get this right. HELP!!! Simplify (2x+3)(x-4)=? if you know the answer and show me ...
A: The function is really each part of the first set of paraenthesis times each part in the second set ...
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| Business Math | 5/14/2009 |
Q: The profit in (thousands of dollars)for a company spending an amount X (in thousands of dollars) in ...
A: a) Take the derivative: P'(x) = -3x²/10 + 12x. Set it equal to 0: -3x²/10 + 12x = 0. Find the ...
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| trignometry | 5/14/2009 |
Q: a tree 12 meter high is broken by the wind in such a way that its top tuches the ground and makes an ...
A: The tree falls in such a way to make a 60° angle with the ground. That means the angle where the ...
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| math | 5/14/2009 |
Q: Divide 3a^4-a^3b-15a^2b^2+11ab^3-2b^4 by a^2+2ab-b^2.
A: Divide a^2+2ab-b^2 into 3a^4-a^3b-15a^2b^2+11ab^3-2b^4 by comparing the first terms. It can be seen ...
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| math | 5/14/2009 |
Q: Remove the parentheses and then combine the like terms in the following expression: ...
A: To remove the parenthesis and combine terms gives 3a + 2b - 2a --b + 4a - 3b = 3a + 2b - 2a + b + 4a ...
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| Probability | 5/13/2009 |
Q: Suppose you draw 7 cards from a 52 card deck. What is the probability that the 7 cards include 3 ...
A: This problem involves C(A,B). That is C(A,B) = A!/(B!(A-B)!). An example is say A was 5 and B was ...
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| A bit of an unusual question ... | 5/13/2009 |
Q: A bit of background (with apologies for the length) - When I was younger I was lucky (unlucky?) ...
A: I forgot to attach that note with the math tables on it, so I guess I'll paste them in here, though ...
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| Math | 5/13/2009 |
Q: (x^-5x+8)(x^+1)=
A: I will assume the x^ was for x^2. This means the problem is (x^2 - 5x + 8)(x^2 + 1). If (x^2 - 5x + ...
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| probability | 5/11/2009 |
Q: I need a definition of complex events for a 6th grade student.
A: The definition of complex events is when there is something you need to know and there is data you ...
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| continue complex number root | 5/11/2009 |
Q: uhm i think i was not cleat but i know all about the Pythagorean thing and the 0-90(x,y) / 90-180 ...
A: To compute the root of a complex number, it is easy to do in polar coordinates. In x-y coordinates, ...
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| root of complex | 5/11/2009 |
Q: Can you remind how to take the root of a complex number i will post what i know and you correct me ...
A: Suppose that the start is the origin. Also suppose it's in the center of an open field. Set the ...
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| On & Per Definition | 5/11/2009 |
Q: From the following, is "...on $1.00..." and "...on $1000.00" the same as ...per $1.00 and ...per ...
A: It was unclear to me exactly what was written, but I did my best at understanding it. If the ...
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| Calculus Textbooks for Self-Study | 5/11/2009 |
Q: I'm in grade eight and I've been self-studying for the past six months. I'm finishing up ...
A: Contents of this Letter: 1) Need to Know 2) What you'll learn 3) The Book 1) Need to Know: I don't ...
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| time and speed | 5/10/2009 |
Q: A, B and C run around a circular track starting from the same point simultaneously and in the same ...
A: Let's just look at minutes. There's is a more elegant way to solve this equation, but it won't take ...
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| Pre Calc | 5/10/2009 |
Q: Using the quadratric formula or complete the square to find all solutions for z in the equation: z ...
A: I don't see what the quadratic equation has to do with this problem. Move everything that is not z ...
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| root of complex | 5/9/2009 |
Q: Can you remind how to take the root of a complex number i will post what i know and you correct me ...
A: Converting to polar coordinates is the easiest way to compute roots of complex numbers. It is much ...
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| Primes | 5/9/2009 |
Q: How do you prove: 2n+1 and n+1 are relatively prime? ANSWER: The only common factor between 2n+1 ...
A: I was thinking about it for awhile and it made sense to consider n as even and as odd in the way I ...
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| root of complex | 5/9/2009 |
Q: Can you remind how to take the root of a complex number i will post what i know and you correct me ...
A: To start with, when (a + bi) is squared, you get a² + 2abi - b². This means that 5 = a² - b² ( not ...
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| Primes | 5/8/2009 |
Q: How do you prove: 2n+1 and n+1 are relatively prime? ANSWER: The only common factor between 2n+1 ...
A: If k were 4, that would make the second number 9. The first number, though, is said to be 4k+1. That ...
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| Binomial Probability | 5/7/2009 |
Q: Assume that 13% of people are left-handed. If we select 5 people at random, find the probability of ...
A: a) The first left is fifth means the first four were right handed. The chance of being right handed ...
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| function of sets | 5/6/2009 |
Q: Would you proof the following for me? This is a long one and I believe I got it correct but I would ...
A: I'm thinking about that one... and thinking ... and ...
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| time and work | 5/6/2009 |
Q: A water tank of 1000 liters capacity is connected to a tap, which can fill at the rate of of 20 ...
A: The tank is 1000 liters. It was filled at 20 liters per minute. It was let fill for 1 hour. Now 1 ...
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| circle equation | 5/6/2009 |
Q: i have a problem with figuring out the equation of a circle that (3,0) - (6,9) - (9,-3) are on it ...
A: OK, I will do it over, since I don't think what I did was even right. I mean, it had the right ...
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| Which parametric test shall I use for a hypothesis test? | 5/5/2009 |
Q: This is question is for statistics. Here it is: The following data represents the ages of drivers ...
A: I would divide the data into intervals. I'm not sure how many years there are or how many eruptions ...
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| maths | 5/5/2009 |
Q: 1.find the determinant of the following 5x5 matrix 4 1 8 2 5 1 0 0 3 1 4 2 3 1 3 6 4 4 1 0 7 3 1 2 ...
A: 1. When the dice are the same, both of them have the maximum number. The only way a maximum of 1 is ...
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| proof of primes | 5/5/2009 |
Q: Could you assist me in proving the following? Prove or Disprove: P is greater or equal to 5 is a ...
A: Start by assuming all numbers to be prime (we both know they're not, but just do it anyway). The ...
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| function rules that relate to r and t | 5/4/2009 |
Q: input r 1 2 3 4 output t 11 25 39 53
A: Look at the difference in the input. Between any two adjacent numbers, it is always 1. Look at the ...
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| Proof by contradiction | 5/4/2009 |
Q: I have a question for proofs: If a and n are natural numbers and a is greater than or equal to 2 ...
A: If a is an even number, then a² is an even number. If a² is an even number, then a²+1 is an odd ...
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| Trig | 5/4/2009 |
Q: Verify [cot(x)^2][cos(x)^2] = cot(x)^2-cos(x)^2
A: Take the right side. Note that cot(x) = cos(x)/sin(x). The right side is then cos²(x)/sin²(x) - ...
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| probability | 5/4/2009 |
Q: Using two six sided dice, numbered 0,2,4,6,8,10, any roll 10 and over gets a second roll, and if the ...
A: You probably have the answer, but here's my insight into the problem. I believe I got it right this ...
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| sines math problem | 5/4/2009 |
Q: Use the Law of Sines to find the measure of angle B (to the nearest tenth). If there is moe than one ...
A: The law of sines for a triangle says that SinA/a = SinB/b. In this case, we have Sin(29°)/25 = ...
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| Primes | 5/4/2009 |
Q: How do you prove: 2n+1 and n+1 are relatively prime?
A: The only common factor between 2n+1 and n+1 is 1, therefore they are relatively prime. If the ...
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| proof of primes | 5/4/2009 |
Q: Could you assist me in proving the following? Prove or Disprove: P is greater or equal to 5 is a ...
A: The possible list of all numbers that are greater than 5: 6n, 6n + 1, 6n + 2, 6n + 3, 6n + 4, and 6n ...
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| Simple Statistic Question | 5/3/2009 |
Q: I would like to ask you a few basic questions on statistic about normal distribution. I'm currently ...
A: A good way to do it would be to say that it is from a normal that goes from 10 to 20 and for the ...
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| stats | 5/1/2009 |
Q: we got a review to for a final and i dont understand how to do this problem. If you could help me ...
A: We are given µ = 25,000 and σ = 3,500. It looks like the point of interest is 2,500. For 100 ...
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| Probability | 5/1/2009 |
Q: Given a mean of 30inches a standard deviation of 2.5 inches, If you sample 100 people what is the ...
A: Take 2.5² and you get 6.25 . Dividy by 100 and get 0.0625 . Take the squareroot and get 0.25 . Of ...
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| Brain Teaser Math | 5/1/2009 |
Q: My 5th grade daughter comes home with a weekly brain teaser for her advanced math class. This ...
A: These are: 28,96,48,60,12 These are Not: 300,90,26,47, 50 Then which of these are? ...
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| math...please help | 4/30/2009 |
Q: 7. The acceleration of an object varies directly as the force acting on it. If a force of 240 ...
A: 7 Q: 240 => 150 m/s²; 100? The answer would be to divie by 240 and multiply by 100. In other words, ...
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| Integrals | 4/30/2009 |
Q: i have tried and tried with this one, civil engineering yr1 :-D square root (4 + x^2) any help ...
A: You mean ⌠ ⌡ (4+x²) dx ? Use a triangle with far side x and near side 2, angle Θ. ...
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| allgebra | 4/30/2009 |
Q: (x-7)=5(x-3), hey soorow to bother you again i find allgebra simply confusing. i came clear for the ...
A: We know that x - 7 = 5(x-3). Multiply out to drop the brackets on the right. That gives x - 7 = 5x ...
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| Precalculus | 4/30/2009 |
Q: cot 3.14592654/12
A: The cot() is known to be 1/tan(). The number you have is a little bigger than π, so it is ...
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| algebra | 4/30/2009 |
Q: i get confused, 2x+5/4=3-x, would really appreicate the help thankyou
A: I take it that is really (2x+5)/4 = 3-x. To solve problems like this, do the following: 1 eliminate ...
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| Verify the Identity | 4/30/2009 |
Q: verify this identity -sin2x+sin6x/sin2x-sin6x= tan4x cot2x
A: Let u = 2x. That gives you (-sinu + sin3u)/(sinu - sin3u) = tan2u cotu. Note that tan2u = ...
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| numbers again with last mail | 4/30/2009 |
Q: The expert can't answer your question. Your Question was: w,x y,z are integers or zero a,b,c are ...
A: Someone suggested that if you take the sum of a_i to the n, i needs to go from 1 to n. In other ...
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| Problem | 4/29/2009 |
Q: 1.In the xy-plane, the solution set to (24/y) > (10/x) > (120/xy) splits up naturally into four ...
A: The answer to 1 was so long I almost forgot about 2, but here it is. 2.Find the eigenvalues of a ...
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| pre calc | 4/29/2009 |
Q: 1. How does the graph of f(x)= -x^2+1 compare to that of g(x)= x^2 ? 2. Use long division to divide ...
A: 1. The first is a parabola opening down and centered at x=0. The second is a parabola opening up and ...
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| right triangle | 4/29/2009 |
Q: Solve the right triangle (to the nearest tenth) given B=15degrees, and b=30m. B is not the ...
A: The tan(15°) is 2-√3. We know that b/a = tan(15°), so a can be found. This is a right ...
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| integration | 4/29/2009 |
Q: Sir: Good day! thanks for your reply. you need to see more of the problem to solve it. here's the ...
A: Did I forget the attatchment to the answer? Well, I can't attach it now, so here it is in a bad ...
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| this is regarding algebra | 4/29/2009 |
Q: sir, what is the physical meaning of a matrix ? please explain me with a scientific example. ...
A: I'll give a planar vector space and a cubic vector space. Planar If a football field were a vector ...
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| Dimensions | 4/29/2009 |
Q: A bookcase is to be constructed with 4 shelves. Height- 3 feet more than the width. Amount of wood ...
A: Height H equals widht W + 3, so H = W + 3. Total wood = 30. The boards used for shelving are 3W, or ...
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| quadriatic word problem | 4/28/2009 |
Q: Question 1: one rocket has an initial velocity of 48 feet per second and the other one has an ...
A: If a -16 is factored out of -16t + 64, the answer is -16(t-4) = 0, so t = 4. If a -16 is factored ...
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| quadriatic word problem | 4/28/2009 |
Q: Question 1: one rocket has an initial velocity of 48 feet per second and the other one has an ...
A: The two equations to solve are -16t² + 48t = 0 and -16t²+64t = 0. Two find the maximum height, set ...
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| Continuous functions | 4/28/2009 |
Q: am struggling to get a start on thisLet functions f(x) and g(x) be continuous at x = a, with g(a) ...
A: (i) If g(x) is negative, say g(x) = -5, then g(a) -5. There is no value anywhere such that g(x) > ...
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| this is regarding algebra | 4/28/2009 |
Q: sir, what is the physical meaning of a matrix ? please explain me with a scientific example.
A: Suppose you have 3 equations, 3 unknowns. They were the following: 2x + 3y + 5z = 43 5x + 2y - 4z = ...
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| Prime numbers | 4/27/2009 |
Q: Why isn't "1" considered a prime number? According to wikipedia the numbers that are multiplied ...
A: To say it now, 1 is not considered a prime number. Let us calculate the squareroot of 77284. First, ...
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| probability | 4/27/2009 |
Q: Using two six sided dice, numbered 0,2,4,6,8,10, any roll 10 and over gets a second roll, and if the ...
A: The first sums are OK. 0: 1/36 2: 2/36 4: 3/36 6: 4/36 8: 5/36 10: 6/36, but you also need to know ...
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| Cluster/density analysis | 4/27/2009 |
Q: I'm interested in finding a general way to solve this problem: I have some 2-dimensional data ...
A: I would graph the points and look at how it looks. Look for an area that has the most points ...
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| Algebra Question | 4/26/2009 |
Q: I am stuck on how to start this question??? For f:[a,b] -> [a,b] continuous, show for some x E ...
A: Suppose this were not the case. That is, for some x in [a,b], f(x) != x. Choose the right x1 and x2 ...
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| one sample | 4/26/2009 |
Q: A local politician running for reelection claims the mean prison time for car thieves is at least ...
A: I believe the claim of the politician is Ho. That is, they serve at least 4 years. That would mean ...
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| Prime numbers | 4/25/2009 |
Q: Why isn't "1" considered a prime number? According to wikipedia the numbers that are multiplied ...
A: You hit on a hot topic of mine. As I learned it, the best way to describe prime numbers is that ...
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| Plz answer these questions | 4/25/2009 |
Q: - 1) Discuss the principles of modelling in Operations Research. Identify the application of O.R. in ...
A: 1. Operations research assumes that each item has a cost per unit. It assumes the cost is linear. ...
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| pre-calc | 4/24/2009 |
Q: 1. find the remainder when f(x)=x^3+x^2+x+2 is diveded by (x-4) 2. f(x)=x^2-9/x-3 and g(x)=x-9/x-3 ...
A: 1. The divisor is 1 -4 and what to divide into to is 1 1 1 2. Each time, make the leading term in 1 ...
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| finance | 4/24/2009 |
Q: A company find that it can operate in either of two modes: 1. Fixed Costs of $100,000/yr with ...
A: Since all of the variables are in $, per year, and units, I won't put in the notation, but just the ...
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| Advanced Calculus | 4/24/2009 |
Q: The Taylor polynomial of degree 2 generated by a twice differentiable function f(x) at x=a is called ...
A: Let x0 be 'x naught'. a) The answer is f(x) = f(x0) + (x-x0)f'(x0). b) f(x) = f(x0) + (x-x0)f'(x0) ...
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| pre-cal vectors | 4/24/2009 |
Q: An airplane has an air speed of 550 miles per hour bearing North 30 degrees West. The wind velocity ...
A: On this problem, I'll state the rounded numbers. The actual number is several more digits in my ...
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| math!!! | 4/23/2009 |
Q: i am a university student in malaysia n this got the better of me. 61a - 40b - 50c = 0..... (i) 93a ...
A: See attached sheet. For the first column, that's the factors I used. The second column is for A, the ...
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| divisor | 4/23/2009 |
Q: 1. Find the number of the positive integral divisors of 72^72. 2. Find the sum of the positive ...
A: 1. Is that 72 to the 72nd power? There are 2 unique prime factors – 2 and 3. The number 72 has ...
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| geom2 | 4/23/2009 |
Q: 4. In equilatral triangle ABC with side 3, D and E are points on AB and AC, respectively, such that ...
A: AD = ED = 2 means AD is 4. It is an equilateral triangle, so all of the other sides are 4. Also, ...
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| maximum | 4/23/2009 |
Q: find the maximum value of 4(x^2+x+2)/(x^2+x+5)(x^2+x+1) pls show your solution thnxxx... i let a = ...
A: We know that f(x) = 4(x^2+x+2)/(x^2+x+5)(x^2+x+1). y =4(a+2)/((a+5)(a+1)) where a = x²+x, so for ...
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| Probability of good sex | 4/22/2009 |
Q: So I have been married for 28 years. My wife, who has regular menstrual periods varying between 20 ...
A: I'll assume it takes 3 days for a period. I'm not real sure, but it sounds safe. The number of days ...
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| Demand Equation with Profit Maximization | 4/22/2009 |
Q: I need some help with the following question please: A manufacturer can produce at most 120 ...
A: I'be been working on it. I can see that P(q) = q^2 - 100q + 3200 and C(q) = 2/3q^2 - 40q +10000/q. ...
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| transformation | 4/22/2009 |
Q: Sir: Good day! thanks for your reply. you need to see more of the problem to solve it. here's the ...
A: p(x,z) = exp(-x-z), x>0, z>0. Let u=(x+z)/2, w=(x-z). q(u,w)=exp(-2u), u>|w/2|. Yes, I see how ...
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| Derivatives of other basic functions | 4/21/2009 |
Q: Find dy/dx: 1) x2^y+y2^x=4 2) x=√(1+e^2y )
A: 1) It looks like x times 2 to the y + y times 2 to the x. Is this right? The derivative would be ...
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| intermediate algebra | 4/21/2009 |
Q: I have a problem with a question on a homework assignment. the question states to perform the ...
A: Do the way this program translates, I'm not sure if I get the question exactly. Is it 2x²/10 - 4x - ...
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| pre-calc | 4/21/2009 |
Q: 1. Describe each of the following properties of the graph of the Cosine Function, f(theta) = ...
A: 1. The amplitude is betwen cos(0) = 1 and cos(π) = -1. That makes for an amplitude of 1 - -1 = ...
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| math | 4/21/2009 |
Q: Hey Mr. Wilson, I'm very confused and i don't know how to answer this Maximum and minimum problem. A ...
A: The gutter is 8 m long and 24 cm wide. This would give it a height h and a width 24-2h. Note that ...
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| pre-calculus | 4/21/2009 |
Q: over a 28 day period, the cost per litre of petrol is modelled by C(t)= 9.2sinpi/7(t-4)+ 107.8 ...
A: Let us look at the sin wave. It oscillates between -1 and 1, so the oscillation is 2. It oscillates ...
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| PLEASE HELP ME ASAP!!!!!!! | 4/20/2009 |
Q: Can you please help me solve these Trig Identities: [sin^2(A)/tan^2] + sin^2(A) [csc(A)/cos(A)] + ...
A: sin²A/tan²A + sin²A tanA is sinA/cosA, so tan²A is sin²A/cos²A. Since we have 1/tan²A, the value to ...
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| Trigonometry | 4/20/2009 |
Q: Show that (sin 2a)/(1-cos 2a)=cot a. Using sin 2a & cos 2a formulae. Many Thanks
A: We know that sin 2a = 2 sina cosa and that cos 2a = 2 cos²a - 1. That makes the formula ...
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| Differentiation 2 | 4/20/2009 |
Q: The curve y=e^x/(cosx),for -.5x(pi)<x<.5(pi),has 1 stationary point.Find the x-coordinate of this ...
A: x was taken from -0.9π/2 to 0.9π/2 by π/10 and put it into the function given. I ...
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| Logarithms equation | 4/20/2009 |
Q: Solve the equation ln(x+2)=2+ln x,giving your answer correct to 3 decimal places. Thanks a lot
A: Note that we can say that lnx = ln(x+2) - 2. Take the exponent on both sides. Since e^ln(x) = x, we ...
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| population | 4/20/2009 |
Q: The current population of a population of a particular town is 10 000 and it increases at the rate ...
A: The number 50,000 is known as P(t) in t years. Put that in the equation and get 50,000 = ...
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| Writing numbers | 4/20/2009 |
Q: My husband and I are right now doing a trivia game with our neighbors where they gave us a bunch of ...
A: One thousnad = 10^3 = 1,000. One million = 10^6 = 1,000,000. One billion = 10^9 = 1,000,000,000. One ...
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| Proving Trig Identities | 4/19/2009 |
Q: "all x's stand for theta (1+sinx)(1-sinx)(secx+1)(secx+1) [sinx-(sinx)(cosx)]/1-cosx ...
A: Now I usually don't do this many, but sometimes I do. Apparenlty you got lucky for some reason. ...
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| maths | 4/19/2009 |
Q: simplify:- [tan^-1(1/2)]+[tan^-1(1/8)]+[tan^-1(1/18)]+______+infinity ANSWER: Aha! I think I got ...
A: First part: If the tangent is 2/3, that means the far side could be 2 and then the near side would ...
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| poisson distribution | 4/19/2009 |
Q: A book contains 500 pages. If there are 200 typing errors randomly distributed through out the book. ...
A: 200/500 = 0.4. The Poisson distribution is (0.4^k)(e^-0.4)/k!. a) Errors=5 Exactly 5 errors would ...
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| pre-cal - verifying identities | 4/19/2009 |
Q: Please help - think I got this one but need to be sure 1 + sin x = cos x / (sec x - tan x) Thanks ...
A: I don't worry about the space. I assume sinx is sin x, cosx, secx is sec x and tanx is tanx. I ...
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| maths | 4/18/2009 |
Q: simplify:- [tan^-1(1/2)]+[tan^-1(1/8)]+[tan^-1(1/18)]+______+infinity
A: Aha! I think I got it. The bottom goes 2, 8, 18, ... That is 2*1², 2*2², 2*3², etc. So the next ...
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| Proving Identities | 4/18/2009 |
Q: I have to prove the following identity... (sec^4x - 1)/ tan^2x = 2 + tan^2x
A: Let s = secx, t = tanx. The equation is (s^4 - 1)/t². Factoring the to gives (s²+1)(s²-1). Since ...
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| Derivatives of other basic functions | 4/17/2009 |
Q: Find the derivative of y y= (e^(-x)+ sin2x)/(e^(-x)- cos3x)
A: This is a long and complicated problem. Do to its length, I may have made an error, so check ...
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| Permutations and Combinations | 4/17/2009 |
Q: Find 'n', if 6(nC7) = nP7
A: If the order doesn't matter, it is a Combination. If the order does matter it is a Permutation. ...
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| inverse functions | 4/17/2009 |
Q: Find the inverse of each function and state whether the inverse is a function 1. F(x) = x^3 - 4 2. ...
A: To invert a function, it must be 1-to-1. The first function is. Let y = x³ - 4. We can say that x³ = ...
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| Pre-Cal/Trig | 4/17/2009 |
Q: Dealing with simple harmonic motion: How do you graph the vertical position of the sphere as a ...
A: I'm not sure I get how big this sphere is. I will assume the center is at (0,0) so the radius is 10. ...
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| proof | 4/16/2009 |
Q: Let f:X→Y and g:X→Y be functions such that g,f is one-to-one. Does one of f,g need to ...
A: As I understand it, f takes X->Y and g takes X-.Y. It then says both functions are 1-to-1. If Y is ...
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| proof | 4/16/2009 |
Q: Prove or disprove that (P(n,r))/n=P(n-1,r-1) I don't know what i am doing on this, please help!
A: P(n,r) = n!/(r!(n-r)!). P(n-1,r-1) = (n-1)!/((r-1)!(n-r)!). Lets look at these two. One has an n, ...
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| equations | 4/16/2009 |
Q: Solve |2x - 4| < 10 -
A: To solve an equation with |2x-4| in it, not when | | is negative and when | | is positive. The best ...
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| Algebra 2 | 4/16/2009 |
Q: The height h in feet of a person on a waterslide is modeled by the function h(t)=-0.025t^2 - ...
A: To solve this algebra problem, drop the decimals first by multiplying by N/N where N is the right ...
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| infinite geometric series | 4/15/2009 |
Q: How do you figure out the sum of an infinite series? for example if the problem is : an infinite ...
A: The series is the Σa^n, n = 0 to ∞. If |a| < 1, this is known to be 1/(1-a). The a here ...
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| Trigonometry Projectile Motion | 4/15/2009 |
Q: Please help me solve and understand how to solve this Trigonomety Projectile Motion Word Problem. ...
A: On the ctn(Θ) = 2x/2y + gt², I don't understand where it comes from. I also don't know if it is ...
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| Math Problems | 4/15/2009 |
Q: A bag of potatoes weighing 5 pounds and 12 ounces costs $2.07. What is the cost of 1 pound of ...
A: This isn't the answer all worked out for each problem, but it does tell you how to do them. ...
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| Math and Algebra Problems | 4/15/2009 |
Q: If your taxable income is from $4,000.00-$7,499.00 your is $100 plus 5% of any amount $4,500.00. ...
A: I'm not sure I follow what you're asking. It looks like the tax is 5% on anything between 4,000 and ...
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| algebra | 4/15/2009 |
Q: i=prt jack has earned a bonus of $20,000 at work. he invested this $20,000 into one investment that ...
A: Let x be the amount invested at 4%. This would mean he got 0.04x interest out of that account. This ...
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| equations of lines and planes | 4/14/2009 |
Q: 1). find the equation of the plane through the line (x+1)/2=(y-1)/-1=(z-2)/3 and parallel to the ...
A: I don't know if I remember the facts about planes, but I'll give it a try. The plane would be z = ...
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| algebra 2 asymptotes | 4/13/2009 |
Q: What is the horizontal asymptote for x-5/x+1 ???
A: If the equation is really (x-5)/(x+1), the horizontal assymptote is the horizontal line that the ...
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| trig | 4/13/2009 |
Q: in which quadrant is the terminal side of the angle [theta] [theta]=-225degrees and why
A: There are four quadrants. Each quadrant contains 90 degrees. The first quadrandt is 0 through 90. ...
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| solving equation | 4/13/2009 |
Q: how to solve this equation and get value of a: 1.4544*10^-4 a^3.5 - 1.996498184*10^7 a^2 - ...
A: I used a spreadsheet to find where to look for a root. In row 1 are the numbers. In row 2 are the ...
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| composite functions | 4/13/2009 |
Q: f(x) = lnx and g(x) = cosx Find the composite functions f(g(x)) and g(f(x)) and give their domains. ...
A: The formula f(g(x)) would be the result of putting g(x) in for the x in f(x). Since f(x) = ln(x) ...
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| More probability... | 4/11/2009 |
Q: Have another that is stumping me in getting the right "formula". From a standard deck of 52 cards, ...
A: Every now and then I make a silly mistake, and this was one of them. I was think a full house was 3 ...
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| Operations Research | 4/11/2009 |
Q: Kindly help in solving the question attached. Thanking You in advance. Regards, satish
A: Invert ----------------------- Solve this problem as a dual problem. Rotate the problem by 90 ...
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| More probability... | 4/11/2009 |
Q: Have another that is stumping me in getting the right "formula". From a standard deck of 52 cards, ...
A: A Hand ------- Using the same approach, the number of total ways of drawing a hand is choosing 5 ...
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| Probability | 4/11/2009 |
Q: A test consists of 25 True/False questions. Assume each question is randomly answered. a)How many ...
A: a) There are 25 questions with two choies each, so the answer is 2^25, which is 33,554,432. 80% is ...
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| Average Compound Interest | 4/10/2009 |
Q: How is the average determined for the following amount if it earns compound interest? Here are my ...
A: By looking at the problem, we can see that 1.05 and 0.98 are almost one, so the answer should be ...
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| Probability of success for a test | 4/10/2009 |
Q: A test bank in the public domain consists of 500 questions. A random selection of 60 questions is ...
A: 500 number of questions 60 number on a test 0.7 percent needed 1.28 standard ...
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| Average Compound Interest | 4/10/2009 |
Q: How is the average determined for the following amount if it earns compound interest? Here are my ...
A: To add 5 percent, the starting number is multiplied by 1.05. To subtract 2%, note that if we ...
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| Statistics | 4/9/2009 |
Q: I'm having lot of problem solving this problem, but I tried similar problems and I got some of them ...
A: That would be 1 - P(x<4), = 1 - P(x=0) - P(x=1) - P(x=2) - P(x=3). Let C(A,B) be A choose B = ...
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| GCD | 4/9/2009 |
Q: 3. The numbers in the sequence: 101 , 104 , 109 , 116 , ... are of the form asubn = 100 + n^2 , ...
A: Tow numbers that are squared have the same divisors as the number itself, but twice as many of each. ...
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| Parabola Reflection Query | 4/9/2009 |
Q: In the form y=a(x-p)^2+q, would it be possible to reflect along the x-axis(Not at the y=0, but where ...
A: The three values in the equation are a, p, and q. When x=9, the graph is at a miniumum if a is ...
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| A very intriguing expression | 4/9/2009 |
Q: As a dedicated math student, I often make up my own problems and solve them for fun. One day, I ...
A: The first term is simple enough - it's 1. The second term is also simple enough - it's 1+√2. ...
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| Proof sets | 4/8/2009 |
Q: I am currently working on a proof that is killing me! I can't figure out where to go next. The proof ...
A: Actually, this won't allow me to send a .bmp file, so I changed it to a .JPG file; not that you ...
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| Trig | 4/7/2009 |
Q: Verify that (sinx-cosx)²=1-2sinxcosx is an identity.
A: On the right side, use the identity 1 = sin^2x + cos^2x. This will give you sin^2x + cos^2x - ...
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| proving trigonometry | 4/7/2009 |
Q: proving ..tq sin^4(a)+cos^4(a)=1-2sin^2(a)cos^2(a)
A: Take the left side and add and subtract 2sin^2(a)cos^2(a) from it. The result would be sin^4(a) + ...
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| Determinants | 4/7/2009 |
Q: I'm a 25 year old computer science student. There's a question regarding determinants that I've been ...
A: Consider putting this matrix in upper triangular form so that the determinant is the product of all ...
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| Statistics | 4/6/2009 |
Q: I have developed a simulation that models a complex process. The simulation has been verified and ...
A: I would use the binomial and continue gathering data on whatever the product is being soold. Mark ...
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| Trig | 4/5/2009 |
Q: A Little League baseball diamond has four bases forming a square whose side measure 60 feet each. ...
A: A Little League baseball diamond has four bases forming a square whose sides between the bases ...
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| hi | 4/5/2009 |
Q: A 200 foot tower on the side of a hill that form a 5 degree angle with the horizontal. Find the ...
A: A Little League baseball diamond has four bases forming a square whose sides between the bases ...
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| Cumulative frequency | 4/5/2009 |
Q: I have been given the first runner to finish took 54 mins and 2000 runners took part and given table ...
A: We are going to approximate with a normal distribution. Assume that there will be 1,000 above the ...
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| Statistics-mean | 4/5/2009 |
Q: Estimate the proportion of commuters whose travelling times are within 1 standard deviation of the ...
A: I would use the normal table. Data all about the normal distribution is found in ...
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| Data representation | 4/5/2009 |
Q: Grouping the data with classes 10-19,20-29,...,60-69,determine the frequencies for these classes & ...
A: Yes, that means it wants you to draw a histogram. I find it best to input 10 to 19, 20 to 29, 30 to ...
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| Stastics | 4/5/2009 |
Q: In the question given the results represented by stem-and-leave diagram. I dont understand the ...
A: Usually when the problem asks for percentages to be shown, it is best to use a pie chart. If your ...
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| Injection | 4/4/2009 |
Q: I have a question concerning one-to-one functions, otherwise known as injections: Let a, b, c, and ...
A: If we take f = (ax+b)/(cx+d) and solve for x, the first thing is to multiply both sides by cx+d and ...
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| analysis | 4/3/2009 |
Q: 1. Let f be integrable on (-infty,+infty). Suppose a function F is defined by F(x)=integral from ...
A: 1. Since the derivative is the opposite of the integral, anything that can be integrated can ...
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| decimal | 4/3/2009 |
Q: if (sqrt2 + sqrt3)^2008 is represented as decimal notation. what is the first two digit after ...
A: I don't know of any technology that can do that man places. There might be some cute trick someone ...
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| Pre-Cal Trigonometric Identities | 4/1/2009 |
Q: I have question about simplifying trig identities. How do i simplify sin(theta)(Csc B - Sin B) and ...
A: Now if the angles are suppose to be the same in the first one: Is that first one suppose to be ...
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| Solve for r in monthy compound interest formula | 4/1/2009 |
Q: I have a math problem that I am having trouble with and my textbook doesn't really explain it very ...
A: The equation you have, 3586.58 = 2000 ( 1 + r/12)^12(5), is what you need. It is really 3586.58 = ...
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| maths | 4/1/2009 |
Q: 4) In an experiment to determine which of three different missile systems is preferable, the ...
A: The Kruskal-Wallis test determines the rank of each variable. Put all of the numbers in order. ...
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| Problem set in summer class | 3/31/2009 |
Q: 1.)mary is 24 years old.mary is twice as old as ana was when mary was as old as ana as now.how old ...
A: 1) If Mary is twice as old, she has lived as long after Ana’s birth as before. That means that when ...
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| probability | 3/31/2009 |
Q: Sir i want to know an appropriate site or ebook for probability Am very week in this The topics are ...
A: In probability, if A and B are independent events, u is used for the union and n is used for the ...
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| Pre Calc | 3/31/2009 |
Q: I need to find the exact value of this equation. I'm not quite sure how to go about with it. the ...
A: That looks like 45 degrees split into 20 and 25. From trigonometry, I remember that tan(A+B) = ...
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| problem solving | 3/30/2009 |
Q: 1. For which integers k, if any, is x^2+k a factor of x^4-3x^3+6x^2-3xk+8? 2. A man began an ...
A: 1. Look at it as dividing x²+k into x^4 - 3x^3 + 6x^2 - 3kx + 8. This, in long division form, is (1 ...
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| polar to rectangular equation | 3/30/2009 |
Q: r^2 = 8/(2 - sin^2(theta))
A: To convert polar to rectangular, we need to know that x² + y² = r² and y/x = tan(Θ). This ...
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| circle | 3/28/2009 |
Q: i m studying in 8th std. and i don't know how to measure the subtended arcs and cyclic ...
A: Subtended Arc The subtended arc is how much of a circle. There are 360 degrees or 2pi radians in a ...
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| quantitative analysis for managerial applications | 3/28/2009 |
Q: Sir,I am MBA student. Please give the answers of my questions. Thank you. 1.Nonstandard dice can ...
A: 1.Nonstandard dice can produce interesting distributions of outcomes. You have two balanced, ...
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| right triangle trig | 3/27/2009 |
Q: The height of a mountain peak is observed at a distance, where the angle of elevation is 30. 1215ft ...
A: Make sure if you use a calculator, the angles are in degrees. The triangle has a 30 and 35 degree ...
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| root of i | 3/26/2009 |
Q: what is the root of the imaginary numers?
A: When taking the squareroot of imaginary numbers, the complex plain is looked at with the real ...
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| Verifying Identities | 3/25/2009 |
Q: i have a quiz on it tomorrow and do not know how to do this stuff. Can you answer some of these ...
A: That third problem took me awhile. sin²(x)/(sin(x)(1+cos(x)) + (1+cos(x))²/(sin(x)(1+cos(x)) = ...
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| Pre-cal | 3/25/2009 |
Q: Find the period and graph the function. 1. y = tan 2x 2. y = tan 1/2x 3. y = tan 5x 4. y = cot 4x 5. ...
A: The tan(t) starts at 0 when t is 0. It goes up to ininity when t = pi/2. On the other side, it comes ...
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| MATHS | 3/25/2009 |
Q: Hey, I'm trying to figure out the answer to thisIf the displacement of a particle P at time t is ...
A: Just as a reminder, note that exponets are taken care of before division. If I read it correctly, ...
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| Maths problem | 3/25/2009 |
Q: The area of a rectangle is 60 square meters. If each side is increased by 3 meters,the area of the ...
A: If there is a rectangle, let's say that it is x by y. The area of the rectangle is 60, so xy = 60. ...
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| QUANTITATIVE ANALYSIS FOR MANAGERIAL | 3/25/2009 |
Q: 1.A study of iron deficiency among infants compared samples of infants following different feeding ...
A: I found a papper that explains the difference between two means with differing standard deviations. ...
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| Algebra | 3/24/2009 |
Q: Ok I have been over this problem so many times it makes my head spin to even think about it. So here ...
A: So is this the problem? √x = √(4 + 7√x). If so, square both sides, so x = ±(4 + ...
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| finite math | 3/23/2009 |
Q: How do I solve and graph these equations: A)5x=20 and 3x+2y=16 B) 3x+2y-16 and 3x-2y=16
A: A)5x=20 and 3x+2y=16 We can see that since 5x=20, x=4. Knowing this, we can put it into the second ...
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| sin and cosine functions | 3/22/2009 |
Q: could you please give me abrief explanation of the reason that sine is an odd function while cosine ...
A: The definition of an even function is one that behaves like x^2n where n is an integer. x^2, x^4, ...
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| pre-cal | 3/22/2009 |
Q: what's the exact value of 4sin(2pi/3)cos(2pi/3)? do you just use the unit circle?
A: I would remember that the sin() curve is 0 at 0, 1 at π/2, 0 at π, -1 at 3π/2, and 0 ...
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| math | 3/20/2009 |
Q: Integrate the following with respect to x. 3xsquared and, cos2x
A: Integrating is the opposite of differentiating. Knowing this, we know the derivative of x^3 is 3x² ...
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| maths | 3/20/2009 |
Q: Differentiate the following with respect to x f(x)= 3sin x - 3ln x + 2 and, f(x)= 5xcubed + 2sin ...
A: 1) The derivative of sin(x) is cos(x). The derivative of ln(x) is 1/x. Knowing this, the derivative ...
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| triangles | 3/20/2009 |
Q: Find the area of a triangle,ABC , given that the lengths AB = 8, BC =10, find and the angle ABC = ...
A: I'm not sure exactly what this says, but I think its talking about a right triangle with sides 8 and ...
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| Discrete maths | 3/20/2009 |
Q: Show that (x+3) is a factor of the following cubic function, 2xcubed + xsquared - 13x + 6 = 0 Hence ...
A: To show that (x+3) is a factor of 2x^3 + x^2 - 13x + 6, solve x+3=0 for x and see what happens. ...
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| probability | 3/20/2009 |
Q: I have n 6-sided dice. A 'hit' is a 5 or a 6 on a die. How do I calculate the probability of -at ...
A: Peter 1. What I meant to say was the probability of a 5 was 1/6 and the probability of a 6 was 1/6. ...
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| probability | 3/20/2009 |
Q: I have n 6-sided dice. A 'hit' is a 5 or a 6 on a die. How do I calculate the probability of -at ...
A: If a hit is a 5 or a 6 on a balanced 6 sided die, there is a 1/6 chance of getting a 5 and a 1/6 ...
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| pre-cal | 3/20/2009 |
Q: what are the steps needed to simplify cos(30+X)+cos(30-X)? please help i don't even know
A: It is known that cos(A+B) = cos(A)cos(B) - sin(A)sin(B) and since cos(-X) = cos(X) and sin(X) = ...
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| advance math | 3/19/2009 |
Q: what is the phase shift and period in the equation y=-7sin(10x+5pi)=2?
A: The phase shift on trig functions is how much is added on as a constant to the equation inside the ...
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| maths problem | 3/19/2009 |
Q: The sum of the squares of two numbers plus four times their product is equal to 382,the sum of their ...
A: What you have is x and y. Now x² + y² + 4xy = 382 and x² + y² - 2xy = 4 can be used to say that 6xy ...
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| Maclauren expansion | 3/18/2009 |
Q: I have tried to work out the first 4 non zero terms of f(x) = sin^2x and then first 2 non zero of ...
A: Yes, the one for sin²(x) is right. Now first derivative of sin²(x) is 2sin(x)cos(x). It becomes a ...
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| algebra | 3/17/2009 |
Q: we are suppose to factor the binomials completely 1. (2w+5)^2 - 1 2. (40x^7 - 1,715xy^3) ...
A: 1. First, multiply it out. The answer would be 4w^2 + 20w +25 - 1, which would be 4w^2 + 20w + 24. ...
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| Quantitaitve Analysis. | 3/17/2009 |
Q: Plz help me in soving following questions...... A small accounting firm pays each of its five ...
A: 1. A small accounting firm pays each of its five clerks Rs 25000, two junior accountants Rs 60000, ...
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| math | 3/16/2009 |
Q: What is the exponential notation of 108 and 420? Is the exponential notation for 70, 1? 144, 12 to ...
A: When I use ^, I mean it as an exponet. Ex: 2^2 = 2*2 = 4; 2^3=2*2*2 = 8; 3^4 = 3*3*3*3 = 9*9 = 81. ...
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| Probability | 3/16/2009 |
Q: IN a market survey the following data regarding number of customers who prefer 3 brands of tea ...
A: P(A) = 0.53, P(B) = 0.61, P(C) = 0.60. P(AnB) = 0.24, so P(AuB) = P(A) + P(B) - P(AnB) = 0.53 + 0.61 ...
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| Problem | 3/15/2009 |
Q: Use a double or half-angle formula to find the exact value of tan pi/12? I don't know how to do this ...
A: One of the laws of trig is tan(Θ/2) = csc(Θ) - cot(Θ). This can be derived from the ...
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| pipe problems | 3/15/2009 |
Q: A pipe can fill up the tank with the drain pipe open in 3 hours. If the pipe runs with the drain ...
A: If the drain is open, it takes 3 hours. If the drain is open for an hour, and then is closed, it ...
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| Trigonometric Identities | 3/15/2009 |
Q: Evaluate the ff: 1.) tan2A, given sin A = 3/5 and A Є QII 2.) sec 2x, given tan x = 5/3 and ...
A: 1) To be in QII, we know that the adjacent side must be negative. Since the far side is 3 units and ...
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| maths | 3/12/2009 |
Q: a supermarket sells bottles of milk in 3 different sizes. 568ml bottles at 37p,2 litre botles ar 99p ...
A: Is the p for pence? To find out, calculate the price per litre on each of them. The price on the ...
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| Probability | 3/11/2009 |
Q: I am having trouble with a question regarding probabilty and roulette. Here is the exactIf you make ...
A: This game looks a little different than what I understand. The roulette wheel I know has 36 numbers ...
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| Algebra and ordered pairs | 3/10/2009 |
Q: I need help with these 2 problems: Decide whether or not the ordered pair is a solution of the ...
A: (1) Put in x=3, y=5 and see if it is equal to 9. If it does, it is a solution. IF not, it's not a ...
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| Confidence Intervals of a Triangular distribution | 3/9/2009 |
Q: I am trying to find a way to quickly calculate confidence intervals using standard deviation in a ...
A: Remember I had stated that we wanted to evaluate (ax - x^2/2)/a^2 to be equal to 0.90, 0.95, and ...
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| Pre-Cal/Trig | 3/9/2009 |
Q: Scott I'm having issue swith two problems in particular. I think, I always just loose my thinking in ...
A: By the way, pie tastes really good. The term in math is the greek letter pi, which is ...
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| Confidence Intervals of a Triangular distribution | 3/8/2009 |
Q: I am trying to find a way to quickly calculate confidence intervals using standard deviation in a ...
A: I will take the distribution to be b(a-|x|) for x between -a and a. To find out what b is, we need ...
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| polynomial equation box problem | 3/7/2009 |
Q: Open-top boxes are made by cutting equal squares from the corners of cardboard sheets that measure ...
A: Since this is an algebra problem, I would think it would have a simple answer. Note that 32-x and ...
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| trig | 3/6/2009 |
Q: solve for x sec x + tan x = 1
A: I like to convert everything to sinx and cosx most of the time. secx = 1 / cosx and tanx = sinx / ...
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| Statistics | 3/5/2009 |
Q: Public works office knows that 80% of single family homes use natural gas. A consumer agency is ...
A: The distribution is binomial with 80% success rate (chance that they use natural gas). A sample of ...
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| Real Analysis Proofs | 3/3/2009 |
Q: I have some proofs that I'm having trouble with and would greatly appreciate your help! 1) ...
A: 1. If Bn is less than An and greater than Cn, and both An and Cn converge to some point, then when ...
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| hi | 3/2/2009 |
Q: how can I integrate an equation which is given in the form of (square root of A square- X square)
A: If the problem is integrating root(sq(A) - sq(X)), then let theta be the angle Θ of a triangle ...
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| Complex numbers in root of polynomial eqn | 3/1/2009 |
Q: Consider the equation 2z^3-3z^2+18z+10=0.Given that 1-3i is a root of the equation and 1+3i is ...
A: I put the equation in Excel. To do this, put -4 in A1 and 4 in A2. In A3, put =(A1+a2)/2. In cell ...
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| complex numbers in modulus form | 3/1/2009 |
Q: (i)Find the modulus & argument of each of the complex numbers z= (1+i)/(1-i) & ...
A: For both variables, multiply by the conjugate of the denominator. That is, multiply the numerator ...
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| weight and volume problem | 3/1/2009 |
Q: Here is myImagine two spheres of metal, one nested concentrically inside the other. The outer sphere ...
A: The volume of a sphere is 4πr³/3 where r is the radius. The variable r is d/(2π) where d ...
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| trigonometry verifing identities | 3/1/2009 |
Q: i need to verify each of the following identities. 1.sin x cos^3 x - cos x sin^3x = 1/4 sin4x 2. cos ...
A: It uses the basic identities sin²x+cos²x=1, sin2x=2sinxcosx, sin(x+y) = sinx cosy siny cosx, and ...
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| Stretching of polynomial function | 2/28/2009 |
Q: I was wondering if it is possible to stretch a 4. degree polynomial function? If I have diagram with ...
A: I'm not sure what you mean be stretch, but I'll take a crack at it. Take y=x². Picture it in your ...
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| Beta function | 2/28/2009 |
Q: I try to evaluate the following Beta function: f(t)= ∫ from 1 to 4 (x-1)^2(4-x)^3 dx. I have ...
A: To change the value on the integrands, you have to change the variable. For example, the ∫(0 ...
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| analytic trig question | 2/27/2009 |
Q: sin a=40/41,-3pie/2 ,<a<-pie; tanB= square root-6, pie/2 <B<pie
A: Note that pie is really pi. That's a greek letter. Pie is something that tastes yummy. Had any ...
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| Precalculas | 2/27/2009 |
Q: Solve over the given domain 1. sin x/sin x-1 = sin2x/sin x-3, Reals 2. csc2x=2,0< or = x < or = ...
A: Note that sqrt is for square root and sq is for square. 1. sin2x = 2(sinx)cosx, so we can divide ...
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| trigonometry verifing identities | 2/26/2009 |
Q: i need to verify each of the following identities. 1.sin x cos^3 x - cos x sin^3x = 1/4 sin4x 2. cos ...
A: The trig identities to use are sin²(x) + cos²(x) = 1 1 + ctn²(x) = csc²(x) 1 + tan²(x) = sec²(x) ...
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| Set_Theory_and_Logic | 2/26/2009 |
Q: Is there any sense in defining the logical conditions such as "sufficient reason" and "necessary ...
A: I'm not sure about the difference between "sufficient reason" and "necessary reason" for something, ...
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| Probability | 2/26/2009 |
Q: Mary plans to give 5 strings of beads for each of her 8 guests. She buys 20 purple strings, 10 ...
A: There is a total of 20+10+10=N strings. The probablility of a purple is 20/N. The probabilitiy of a ...
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| rth grade geometry | 2/25/2009 |
Q: If cylinder has 28cm diameter, how many cm will water level drop if 1 liter is removed? (Height is ...
A: The diameter is 28 cm, so the radius is 14 cm. The area is then πr², or 14²π cm, which is ...
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| Beta function | 2/25/2009 |
Q: I try to evaluate the following Beta function: f(t)= ∫ from 1 to 4 (x-1)^2(4-x)^3 dx. I have ...
A: The only way I know to do this is to multiply it out. (x-1)²=x²-2x+1. (4-x)^3 = 64 - 48x + 12x^2 - ...
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| Word Problems | 2/25/2009 |
Q: A paint supplier has two machines that produce both indoor and outdoor paint. To meet one ...
A: Facts We need 60 gallons of indoor paint and 100 gallons of outdoor paint MI) Produces 3 indoor, ...
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| Basic Algebra | 2/25/2009 |
Q: What would the formula be for expressing a 2% yearly rate of increase on a monthly rent over a 15 ...
A: You get the basic amount of 1 plus 2%, which is 1.02 each year. Over 15 years, this is 1.02^15 { ...
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| Ratios | 2/24/2009 |
Q: A group of 10 employees in an office decide to contribute $1.00 to a lottery. Nine of the employees ...
A: That sounds like the most logical route, but with 9 employees, there's bound to be one in there who ...
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| Bayes' Theorem | 2/19/2009 |
Q: OK I got into an argument today because my co-worker told me he won all this money last time he ...
A: Case 1: There is no probability of something happening that's already happened. The chance of the ...
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| Karnaugh Maps | 2/19/2009 |
Q: I can't seem to figure out how to simplify this boolean expression using a four-variable map. I ...
A: I have never heard of Karnaugh Maps. I looked it up and found the Karnaugh Maps are using booean ...
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| Matrices and Complexe numbers. | 2/18/2009 |
Q: 1a). Let P be an invertible nxn matrix. Prove that (P^-1)^T= (P^T)^-1 (You may use the fact that ...
A: According to en.wikipedia.org/wiki/Transpose , we know that (A^T)^-1 = (A^-1)^T, so that's in the ...
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| fourier series | 2/17/2009 |
Q: need some help with the following question. Determine the fourier series of the signal f(t) = 1+t/pi ...
A: A Fourier series is defined by 0.5a0 + sum(from n=1 to ∞)an*cos(nx) + sum(n=1 to ...
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| eleven fold | 2/17/2009 |
Q: I would like to know the possibilities from a eleven fold from 13. i am told there are 78 ...
A: It looks like you are choosing 11 objects from 13 possibilities. That sounds almost like a question ...
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| Differentiation of 1st order | 2/17/2009 |
Q: how to begin solving this? Please guide me and give me some hints. two variables x & t are connected ...
A: Divide both sides by x/(10-x) and multiply both sides by dt. Yes, dx/dt really is a fraction. You ...
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| Differential equation first order | 2/17/2009 |
Q: i know how to do (i). But i dont know how to continue the rest. Please guide me. Here are the full ...
A: Let n be the fish population. That's really n(t) where t is time. What this question says is that ...
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| First order differential | 2/17/2009 |
Q: I dont know how to begin. Please guide me. The amount A grams of a given carbon isotope in a dead ...
A: i) The derivative of an exponential e^(kx) is ke^(kx), which is just k times the original function. ...
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| finite math | 2/17/2009 |
Q: find the slope ------------------------------------------------------------ (-2,5) and (4,7) ...
A: find the slope - the slope of this is (y2-y1)/(x2-x1) where (x1,y1) and (x2,y2) are the two points ...
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| sum | 2/16/2009 |
Q: Evaluate: Σ[log k] over all k where k is a factor of 1 000 000 000 000 except 1 and 1 000 ...
A: There are 12 0's, so the factors are 2^i*5^j where i,j go independently from 0 to 12. You'll have ...
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| Statistics | 2/16/2009 |
Q: "Here is the problem I am working on: An appliance dealer sells three different models of upright ...
A: a) To get the expected value, take each x (13.5, 15.9, and 19.1) times each p (0.2, 0.5, and 0.3) ...
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| Angle of elevation | 2/16/2009 |
Q: Two observers are 500 feet apart. Each measures the angle of elevation of a hot air balloon that ...
A: The angles are 53° and 42°. Since the larger angle is 53, the angle with the ballon and the other ...
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| Discrete Random Variables and Probability Distributions | 2/16/2009 |
Q: I'm having trouble grasping the "Probability Mass Funtion"(pmf) and "Cumulative Distribution ...
A: Two dice: To get a 1, both dice must be a 1, so it's (1/6)(1/6) = 1 /36. To get a 2 or less, it ...
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| real analysis - sequences | 2/15/2009 |
Q: Ok so I have made some claims about sequences, and am having a bit of trouble writing out the proofs ...
A: #1 If a sequence converge on some point monotonically (whether from above or below), the sequence ...
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| QA | 2/13/2009 |
Q: Please answer the below mentioned question, as i m unable to find the answer of it anywhere. A ...
A: I would calculate the standard deviation on the entire set of numbers. I would then average the ...
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| QA | 2/13/2009 |
Q: Please answer the following question, Nonstandard dice can produce interesting distributions of ...
A: One die will have a 1/6 chance of rolling a 1, 2, 3, 4, 5 or 6. The other die will have a 1/2 chance ...
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| Problem Solving | 2/13/2009 |
Q: A man set out at noon to walk from Point A to point B, and his friend started out at 2 pm from point ...
A: Man 1: Left point A at noon, Man 2: Left point B at 2pm. Took identical paths, met at 4:05. I will ...
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| Boolean Algebra | 2/12/2009 |
Q: I need to find the complements of the following functions but I can't seem to get the right ...
A: I will use C() as the complement, u as union and n as intersection, and S for the entire space. I ...
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| Real Analysis | 2/11/2009 |
Q: . You've been veryy helpful.. I have a few more questions for you about my proof class. 1. Suppose ...
A: I understand, 'Suppose that the sequence (an) has limit L and that the sequence (bn) has limit K' ...
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| maths probability | 2/10/2009 |
Q: A person draws 6 cards from a deck of 52 cards. What is the probability that he has a royal ...
A: Now that I am almost at the bottom, you are right in this case - it should be a 4 since there are ...
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| Percentages | 2/10/2009 |
Q: I saw this solution in an old mathematics book. I cannot understand how the solution to the answer ...
A: To find 4% of a number means multiply the number by 0.04. In other words, 4% of 400 is 0.04*400 = ...
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| problem with Horner method | 2/10/2009 |
Q: i have a problem with horner method,and want you to just give me a short description about it,and ...
A: I hope a better way would be to put the variable that is being divided above the problem, like 3 | ...
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| maths probability | 2/9/2009 |
Q: A house has 12 rooms (10 bedroom and 2 living rooms). We want to paint 4 yellow, 5 red and 3 ...
A: There are 12 rooms with 4, 5, and 3 the same color, which would be 12!/(4!5!3!) ways to do it. ...
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| On vectors | 2/9/2009 |
Q: i dont know how to get started with this as i dont understand this topic. Please guide me. the line ...
A: Line L has the equation r = (7i+0j+3k)+ t(5i+3j+2k) = (7,0,3) + (5,3,2)t. Plane ¥ has equation ...
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| Related to vectors | 2/9/2009 |
Q: the line l_1 passes through the point A,whose position vector is i-j-5k, & is parallel to the vector ...
A: A is (1,-1,-5), L1 passes through A, direction (1,-1,-4). B is (2,-9,-14), L2 passes through B, ...
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| 3d vectors | 2/9/2009 |
Q: I dont understand this topic. Please help me, i need the whole solutions. The points A,B,C and D ...
A: A is at (1,-1,2) B is at (3,7,-1) C is at (4,15,10) D is at (2,18,2) L passes through A and B ¥ is ...
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| Vectors in 3d | 2/9/2009 |
Q: can you explain the whole solutions steps by steps? the point A has position vector i+2j+3k,the line ...
A: A is at (1,2,3) Line is (1,4,-1)+(1,-1,1)t Plane: -x+2y+2z=2 Points in plane A = (-2,0,0), B = ...
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| Quiz qustion | 2/9/2009 |
Q: Am in need of a good brain as mine is quite defficient regarding anything mathmatic. This is theA ...
A: I don't know anything about her zodiac, but can say she is 29 and it is the 29th just before her ...
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| trig | 2/8/2009 |
Q: i have two questions. what is the quadrant terminal of 7 pi over 8? If A is in quadrant IV, and ...
A: Now π/2 is the same as 4π/8, and this is less. The number π is the same as 8π/8, ...
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| Vector in 3 dimension | 2/8/2009 |
Q: If you know, can please you give me as many sites as possible which i can learn on the topic vector ...
A: Here is a site that has several chapters that tell you all about 3d vectors. They include dot ...
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| Algorithms | 2/7/2009 |
Q: A clear picture of the question is attached, please help,Thank you.
A: THat was a quick algorithm. It only took three steps. The significance is that 6 is one of the ...
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| Cubic Formula | 2/6/2009 |
Q: i need some help please... Use the cubic formula to solve this: x^3 + 4x^2 - 5x -3 Thanks
A: The cubic formula to solve ax3+bx2+cx+d=0 is x = {q + [q² + (r-p²)^3]^0.5}^(1/3) + {q - [q² + ...
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| Real Analysis | 2/5/2009 |
Q: So here are 2 questions that are stumping me.. if you could help that'd be amazing! Before we ...
A: 1. If supA < supB, then there exists some number b that is in B that is greater than supA. Take ...
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| drawing conclusions | 2/4/2009 |
Q: Please see the attached image. This problem requires me to figure out an algorithm is not correct ...
A: The simplest way that I can find to do it is this. Right down the matrix, and then circle each ...
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| Geometric Series | 2/4/2009 |
Q: The first term of a geometric series is 27, the last term is 8 and the sum of the series is 65. What ...
A: I recognize 27 as 3*3*3 and 8 as 2*2*2, so I will try 3*3*2 and 3*2*2 as the two middle terms. ...
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| Real Analysis | 2/4/2009 |
Q: Erik had a conjecture that said: If X is a subset of the real numbers and a is in set X and a is an ...
A: If a is an upper bound for X, then this means that a≥t for any t in X. If we choose b<a to ...
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| math | 2/3/2009 |
Q: How many different selections of 3 cards can be made from the 12 face cards? How many choices do ...
A: The answer is 12 choose 3, or, 12!/((12-3)!3!). 12-3=9, so we have 12!/9! = 12*11*10*9!/9! = ...
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| turn powers of sin into multiple angles (nθ) | 2/2/2009 |
Q: using z - 1/z = j2sinθ find sinθ cube. Example : sinθ to the power of 4 equals : ...
A: Well, if sin^4(Θ) = (cos(4Θ) - 4cos(2Θ) + 4)/8, then it can be said that ...
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| summation of equation | 2/1/2009 |
Q: abe the following is a summation of equation problem that I don’t understand at all: 6 ...
A: It looks like you tried to multiply ever value of k by -3 or something. The summation means to put ...
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| Functions | 1/30/2009 |
Q: I'm having difficulty helping/answering my daughter with this math question. Any light you can shed ...
A: a. Yes, don't worry - you still remember it well. b. The answer to b is what the equation that fits ...
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| statement problem - mba | 1/30/2009 |
Q: can u please help solve this problem showing in detail the calculation Kleen Karpet cleaned 65 rugs ...
A: Labor productivity is defined to be the ratio between output versus input. There were 520 hours at ...
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| Iterative formula | 1/30/2009 |
Q: State the no. Of roots of the equation 3e^(.5x)=4x+6. Taking 4 as a first approximation to 1 root c ...
A: Thje fuction is 3e^(.5x)=4x+6. Divide both sides by 3 and then take ln() on both sides. When ...
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| Integration by substitution | 1/30/2009 |
Q: Find the exact value of the integration of x(sec^2)x with limits 0 to pi/3. Using the substitution ...
A: I'll restate the answer with normal characters. I() = integral ANSWER: Find the exact value of the ...
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| Numerical method | 1/30/2009 |
Q: I understand this topic a bit only & i'm lack of resources on this topic. I'm wondering if you can ...
A: (a) Here are my results: xn 4 exp(x) -4+EXP(x) -- - ------ ----------- ...
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| correlation between scales... loss of granularity and other distortions (?) | 1/30/2009 |
Q: There is wine in thisWhen it comes to classifying wine, a 50 to 100 point scale is used major ...
A: x<70 @ the 0-100 scale, irrelevant; x=70 @ the 0-100 scale, y=10 @ the 20 pts scale; x=98-100 @ the ...
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| correlation between scales... loss of granularity and other distortions (?) | 1/29/2009 |
Q: There is wine in thisWhen it comes to classifying wine, a 50 to 100 point scale is used major ...
A: It looks like the result is correct for the data given. If I read this right, one scale goes from 0 ...
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| maths----probability | 1/29/2009 |
Q: There are 40 students in a class. What is probability that no 2 students does not have same ...
A: The number of ways they could all have birthdays is 365^40. For the first person, there are 365 ...
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| Integration by substitution | 1/29/2009 |
Q: Find the exact value of the integration of x(sec^2)x with limits 0 to pi/3. Using the substitution ...
A: Find the exact value of the integration of x(sec^2)x with limits 0 to pi/3. Having read that, I'll ...
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| Numerical method | 1/29/2009 |
Q: I understand this topic a bit only & i'm lack of resources on this topic. I'm wondering if you can ...
A: A) Use x0 as -2. Evaluate the function (4 - e^x)^0.5 with x=x0. In other words, calculate e^x, ...
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| Iterative formula | 1/29/2009 |
Q: State the no. Of roots of the equation 3e^(.5x)=4x+6. Taking 4 as a first approximation to 1 root c ...
A: State the no. Of roots of the equation 3e^(.5x)=4x+6. When you look at the functions, both of them ...
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| Number | 1/29/2009 |
Q: Why does 0!=1?
A: Because of the true way factorials are defined. n! = ⌠∞ ⌡0 x^n e^(-x) dx. ...
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| Identities | 1/29/2009 |
Q: how do i express i = 100sin(θ) + 150sin(θ + Π/3) as Rsin(θ ± α) and ...
A: I don't think there is a way to express this function with one sin() wave. We know that ...
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| math | 1/28/2009 |
Q: (d^2-5d-14)/(d^2-3d-10)
A: I assume that you want this reduced, no? The top and bottom are both functions that can be ...
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| Real Analysis (Proof) | 1/27/2009 |
Q: 1. Prove that if x in set Q (rational numbers), y in set Q (rational numbers) and x < y, then there ...
A: 1. If x is in the rational numbers, then x = a/b where a, b are both integers. If y is in the ...
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| algebra word problem | 1/25/2009 |
Q: a photo is 4 inches longer than it is wide. a 3-inch border is placed around the photo making the ...
A: Let the photo have width w and height h. When you say 'longer than it is wide', I'll assume that's ...
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| Algebra | 1/25/2009 |
Q: I used the quadratic formula to try to solve this question, but I can't seem to get rid of k. I'm ...
A: According to the quadratic formula, the solution to ax^2+bx+c is x=(-b +/- sqrt(b^2-4ac))/2a. Note ...
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| depreciation math problems | 1/24/2009 |
Q: Construction Equipment ran an article on calculating equipment depreciation. The delivered price of ...
A: This is a devaluation of a tractor problem. The original price was $135,000. The price at the end ...
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| Making a Frustum | 1/24/2009 |
Q: I need to make a frustum. I have found how to make the frustum however, now I need to cut it out of ...
A: I'm not sure where the angles were gottem from, but using r, R, and h, I have found a paper that ...
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| Iterative process | 1/23/2009 |
Q: An iterative process for finding this root is defined by X subscript =1,X subscript (m+1) = (X ...
A: It looks like you have x[0] = 1. x[n+1] = (x[n]+1)^(1/3). Using this, x[1] = 2^(1/3), x[2] = ...
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| Other iterative processes | 1/23/2009 |
Q: Use the formula Xr+1=(1-X^2 subscript r)/5, where Xo=0,to find the positive root of the equation ...
A: To find the next next in the series, x1, let x1 = (1-x0^2)/5, so x1 = 1/5 = 0.2. To find x2, all we ...
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| Numerical methods | 1/23/2009 |
Q: Show that the equation x=cos x-3 has a root between -4 & -3. Use an iterative method to calculate ...
A: Well, a good way to solve this is with Newton's method and start with x0 = -4. The variable xn+1 is ...
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| Pre-Cal Identities help | 1/23/2009 |
Q: In the following exercise, perform the indicated operations, then simplify your answers by using ...
A: The first identity you need is sec(x) is 1/cos(x). Now that everything is in cos(x), in two ...
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| fractional percents | 1/21/2009 |
Q: how do I find the percentage of a fractional number and another fractional number such as 1/8= (?)% ...
A: A percentage is how many parts out of a hundred. For example, 1/2 is 50 parts out of 100, so it is ...
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| factorization | 1/21/2009 |
Q: how do I solve this question? Factorize: 51y^2 - 2580y - 39879 Please help if possible, thank ...
A: Use the good old quadratic formula. You know, x1 = (-b + sqrt(b^2 - 4ac))/2a and x2 = (-b - ...
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| pre-calc | 1/21/2009 |
Q: I have a few questions dealing with my semester 1 exam for precalc that have been giving me trouble. ...
A: For the first one, not that sin^2(x) + cos^2(x) = 1, so replace cos^2(x) with 1 - sin^(x). After ...
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| combinations | 1/19/2009 |
Q: The whole problem is that I am suppose to verify that (1+x)^n-x(1+x)^n+x^2(1+x)^n-...+-x^k(1+x)^n = ...
A: I thought about this now and then and again and some more, and it finally came to me how to do it. ...
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| As-level | 1/19/2009 |
Q: 1) Simplify: a) 10/sqrt5 + sqrt 20 b) 1/sqrt2 (2sqrt2 – 1) + sqrt2 (1-sqrt8) 2) Find the ...
A: 1) Simplify: a) 10/sqrt5 + sqrt 20 note that 10 = 2√5√5, so one of √5 can be ...
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| Counting Change | 1/19/2009 |
Q: Would it be logical to pay for something that costs $0.41 with the amount of $1.06, $1.00 plus a ...
A: A wsie cashier would recognize that the nickle would be returned anyway. Seeing this, they would ...
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| Counting Change | 1/17/2009 |
Q: Would it be logical to pay for something that costs $0.41 with the amount of $1.06, $1.00 plus a ...
A: Maybe if you added a dime to that payment, then your change would be 75 cents, or 3 quarters. Yes, ...
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| Proration | 1/16/2009 |
Q: Is there a method to prorate one value over several other values without having a difference ...
A: In http://www.thefreedictionary.com/proration, the definition of proration is the proportional ...
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| Demography | 1/16/2009 |
Q: Demography: you, 2 parents, 4 grand parents, 8 great grand parents and so on. Thus 2^n. Go back ...
A: Unlike math, people get to make choices. Some get divorced, some remarry someone else. I've heard ...
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| Equation Substitution | 1/16/2009 |
Q: For some reason or another I am having trouble with the following problem: "From the set of ...
A: (1) p = 3q (2) pr = qs (3) (1/2)pr^2 + (1/2)qs^2 = (1/2)qt^2 Find ratio of t to r. Putting ...
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| graphing rational functions | 1/16/2009 |
Q: "What is the vertical asymptote(s) of f(x)= x^2-x-2/x^3-2x^2-5x+6?"
A: I take it the x^3-2x^2-5x+6 is suppose to be on the bottom? If so, then factor it, and that will be ...
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| nil potent matrices | 1/15/2009 |
Q: Suppose we have a matrix A such that A^n=0. What are the properties of n? Has n been known to obey ...
A: I not that n has do to be less than or equal to the number of rows (or number of columns) of a ...
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| prob & stats | 1/15/2009 |
Q: x 20 25 30 35 45 55 65 y 40 30 20 10 10 8 5 let x represent the age in yrs of a licensed driver, and ...
A: b) To find the equation for the line, find N, Σx, Σx², Σy, and Σxy. Solve the ...
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| Algebra | 1/14/2009 |
Q: Could you please help Solve the following system of equation X+2y=2(1) X=7-2y(2) Not for sure ...
A: This many questions is sometimes ignored for there being too many questions, but these can be done ...
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| trig. | 1/13/2009 |
Q: I wondered if you could simplify or give me ideas about how to start simplifying the following: A = ...
A: I will assume that a and b are the other two angles in a right triangle. They will be referred to ...
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| trig identities | 1/13/2009 |
Q: [(2tanx)/(1-tan^2x)]+[(1)/(2cos^2x-1)]=[(cosx+sinx)/(cosx-sinx)]
A: All you've got to do is remember that 1 is not really 1, but that 1 = sin²x + cos²x. You'll see ...
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| recursion | 1/13/2009 |
Q: what is the basic form of a recursive function , and why?
A: A good example of a recursive function could be the way to program n! (n factorial). A basic ...
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| Rate problem | 1/13/2009 |
Q: A salesman drives from A to B, a distance of 120mi, at a steady speed. He then increases his speed ...
A: We don't know what speed he started at, so let's call it X. If X were 40 mph (but it's probably ...
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| Pre calculus help- word problem | 1/13/2009 |
Q: he speed of the wind increased exponentially. 10 minutes after sunrise, the windspeed was twice what ...
A: First, the problem states that the speed is increasing exponentially. Second, it states that it ...
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| algebra | 1/13/2009 |
Q: Y=2+3X3X-4 4X=5,6,7 Y=2+3X-4 4X=5,6,7
A: Y=2+3X3X-4 4X=5,6,7 Y=2+3X-4 4X=5,6,7? I'm not sure what needs to be done. For the first one, ...
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| trig function? | 1/9/2009 |
Q: I'm stuck on the followingIf 2x + y = pi/4 show that tan y = (1-2tanx- tan^2x)/(1+2tanx - tan^2x) ...
A: OK. That wasn't hard - just took awhile, once I thought about it. The key to the problem is to know ...
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| sum = product | 1/9/2009 |
Q: We know that the geometric series gives us 1/(1-x) = Sum(n to inf)x^n for |x|< 1. How can I show the ...
A: The way the problem is written, the answer is ∞, since each term is greater than one. ...
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| inverse of laplace transform | 1/9/2009 |
Q: I want to find the inverse of the following Laplace transform I attached the problem
A: Gamma is g - see the function, you'll understand. For the curvy w, I'll use w itself (though if I ...
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| How to find vertical and horizontal asymptotes for logarithms | 1/8/2009 |
Q: Can you explain how to find vertical and horizontal asymptotes for the logs? Thanks Here are some ...
A: With the function h(x)=2^x, this is defined for all x, so there is no horizontal assymptote. As x ...
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| pre-cal | 1/8/2009 |
Q: Find the angle between the vectors u=7i+2j and v=-4j. Find all solutions of the equation x^-625i=0
A: If Θ is the angle between the two vectors, then cos(Θ) is the dot product between the ...
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| Geometry | 1/7/2009 |
Q: what is the area of a triangle whose vertices are (-4, -3), (8, 7), and (8, -3)?
A: The left side of the triangle (a single point) is at x=-4 and the right side (a vertical line) is at ...
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| Trig | 1/6/2009 |
Q: Find the exact value of each expression, and you aren't suppose to use a calculator. cos pi/3 + sin ...
A: Both of these functions appear to have radians. To convert radians to degrees, multiply the angle by ...
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| function tables prealgebra | 1/6/2009 |
Q: Can't figure out the rule for the following table: x=6, 10, 12, 15, and blank y=54, 50, 48, blank, ...
A: Look at the two values in columns next to each other, b=blank. 6 54 10 50 12 48 15 b b 0 Between ...
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| Weight | 12/31/2008 |
Q: A whole brick weighs 9 lbs. and half a brick. Calculate the weight of a brick and a half. Thanks ...
A: There are two ways to read thisA) Is this suppose to read: 'A whole brick weighs 9 lbs. Add half a ...
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| Calculus III | 12/31/2008 |
Q: I have two questions, but i think they have some difference between them?? 1. Find the maximum and ...
A: f'(x,y) is really 1 + dy/dx, since this is a product of x and y. To do this correctly, y must be ...
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| absoulte value | 12/31/2008 |
Q: a|=a and |a|=-a Proof if a=0 then |a|=a If a<0 then |a|=-a>a a?R then |a|=-a i can not ...
A: a|=a and |a|=-a: I'm not sure what this is saying, but I know that it should say if |a| = a, then ...
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| equation of linear | 12/30/2008 |
Q: At first, sorry about my compositionally mistakes, i'm from Hungary. My question is, that i have two ...
A: Both of the equations could be put in the for y = mx + b. The variable m is for the slope. If m is ...
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| dividing circles | 12/29/2008 |
Q: My 8-year old son wants to know if 360 is the maximum number of pieces a circle can be divided into. ...
A: As usual, our children tend to be right. Divide a circle into 360 pieces, 1° each. Cut each in ...
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| absoulte value | 12/29/2008 |
Q: |a|≥a and |a|≥a Proof if a≥0 then |a|=a If a<0 then |a|=-a>a aєR ...
A: |a|≥a and |a|≥a Proof if a≥0 then |a|=a If a<0 then |a|=-a>a aєR ...
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| Calculus III | 12/27/2008 |
Q: I have two questions, but i think they have some difference between them?? 1. Find the maximum and ...
A: For 1, I get the following: The x,y values are on an ellipse 9x² + y² = 6. The extreme points ...
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| Calculus III | 12/26/2008 |
Q: I have two questions, but i think they have some difference between them?? 1. Find the maximum and ...
A: 1. There may be a shorter way to do it, but I think of xy as a product of two functions. Note that ...
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| problem with Horner method | 12/26/2008 |
Q: i have a problem with horner method,and want you to just give me a short description about it,and ...
A: Hormer's method is for dividing one polynomial by another. 3 | 2 -6 2 -1 | ...
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| Solving linear inequalities | 12/25/2008 |
Q: I'm working on a math course in college. I can't seem to understand how one type of linear ...
A: When presented with this type of problem, the first thing to do is put the variables on one side and ...
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| angle inside a hole | 12/23/2008 |
Q: I always can measure the diameter at the top and bottom of the hole, and the depth of the hole. I ...
A: I answered this one, but didn't compute anything. The bottom radius is R=0.1174/2. The top radius ...
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| Angle inside a hole | 12/23/2008 |
Q: I need to know how to figure out the angle from a smaller diameter circle at the bottom of a hole to ...
A: Half of the diameter is the radius. Take the difference between the two radii and that would be the ...
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| Substitution | 12/21/2008 |
Q: Q: Use the substitution method to solve the following simultaneous equation : ...
A: SOlve the first equation for x and substitue into the second equation. 2x + 5y = 12, so 2x = 12 - ...
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| Calculus III | 12/19/2008 |
Q: Notice that the curve given by the parametric equations x = 9−t2 y = t3−4t is symetric ...
A: Solve the first equation for t in terms of x. Substitute this into the second equation for t and ...
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| Mortgages | 12/19/2008 |
Q: Hey, my question is extremely long, and I hope you don't mind helping me out with it, because I'm ...
A: Income: 55K; take home: 49K Inherited: 25K, use for lawyer, closing, etc. 1. Take 49K*0.32 to get ...
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| Exponential Growth Function Rules | 12/19/2008 |
Q: This graph has the points, (1,12) and (0,8) the line is not very steep, and more toward the shallow ...
A: Since the problem is in exponential growth, I would assume the function was suppose to be ...
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| Calculus III | 12/18/2008 |
Q: Notice that the curve given by the parametric equations x = 9−t2 y = t3−4t is symetric ...
A: You might have already known this: dy/dx is really a fraction. Take an example: If y=x^3, then ...
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| Correlation, Covariance | 12/18/2008 |
Q: My major is Coastal Engg. I want to use TimeSeries calculations to translate some of my observations ...
A: The correlation between u and v is how much these two variables are dependent on each other. If the ...
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| Calculus III | 12/17/2008 |
Q: Let L be the circle in the x-y plane with center the origin and radius 38. Let S be a moveable ...
A: Since the factors of 38 are 2 and 19, it can be seen that only the 2 goes into the 24. Lets take a ...
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| Relation in math | 12/17/2008 |
Q: please tell write me briefly about Relation.please help me friend
A: A relation in mathematics is a set of ordered pairs. For example, { (1,2),(3,5), (4,3), (100,45) } ...
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| Distance | 12/16/2008 |
Q: A trip was made from Pixley to Bugtussle. Day one- one quarter of the distance was traveled. Day ...
A: I will assume that [was travelled] applies: Day one- one quarter of the distance was traveled. Day ...
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| Help on Simplifying! | 12/16/2008 |
Q: I am simplifying the equation: 3x^2-3x+x-1 and I am confused... Ultimately, the answer I am ...
A: 3x²-3x+x-1 is the same as 3x²-2x-1 since -3x+x is the same as -2x. Try any x and this can be seen ...
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| isomorphism | 12/15/2008 |
Q: Define the isomorphism between the two groups * a b c a a b c b b c a c c a b * d e f d f d e ...
A: Let a,b,c be 0,1,2 and the two variables be X and Y. The operation for this would be (X+Y) mod 3. ...
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| straight line graph | 12/15/2008 |
Q: in the following y is the dependent variable & x is the independent. a&b are constants what type ...
A: 1. A regular xy graph with x as the abscissa and y as the ordinate. On the rest of them, I have ...
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| Analytic Trig | 12/12/2008 |
Q: Confirm the Identity: sin^6(x)+cos^6(x)=(cos^2(x)-sin^2(x))(1-cos^2(x)sin^2(x))
A: Multiply out the right side. (cos^2(x)-sin^2(x))(1-cos^2(x)sin^2(x)) This gives cos²(x) - sin²(x) ...
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| one to one, proof | 12/11/2008 |
Q: Let F: X--> Y. Prove that f is a one-to-one function if and only if F(A)INTERSECTIONF(B) = F(A ...
A: There is a way to right an upside down U on the screen. It is intersection is alt-239. That is, ...
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| Sampling Distribution of sample mean | 12/11/2008 |
Q: Let a very small population consist of five numbers:10,20,30,40,50,each having probability of being ...
A: Five numbers: 10,20,30,40,50 Chance of each: 0.2 (equally likely) Take 2, with replacement. The ...
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| hypothesis- stat | 12/11/2008 |
Q: A pharmaceutical manufacturer is concerened that the impurity concentration in pills does not exceed ...
A: Maximum sought: 0.03 Standard deviation: 0.004 Average generated: 0.0307 (most like will result in ...
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| Mathematical Foundations- Proofs and Logic | 12/10/2008 |
Q: Sorry I am asking you another question, its just your the only one who could do this math.... A ...
A: The frist 3 terms are given 1, 4, and 9. Each term after that is defined as ...
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| Mathematical Foundations-Proofs and Logic | 12/10/2008 |
Q: A relation R is defined on Z ('All Integers'=Z)by aRb if 5a=2b (mod 3). Prove that R is an ...
A: An equivalence relation means each element in one set is mapped to a specific element in the other ...
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| math | 12/10/2008 |
Q: how many word can be arranged from "business" with only 2s are adjacent? ANSWER: There are 3 ...
A: There are 8 letters and we have taken out 2 of them (s and s). That leaves six letters. The number ...
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| Trig | 12/10/2008 |
Q: I wasn't quite sure what this meant, but I wanted to know if you could help me find the four roots ...
A: I'm not sure what you mean either, but note that I believe the four roots to be 1, -1, i, and -i ...
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| Trig | 12/10/2008 |
Q: I was wondering if you could help me figure out the exact value of the six trigonometric functions ...
A: Note that in degrees, any measure x° is equivalant to (360+x)°. That would mean that 740° is the ...
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| Trigonometry Identities | 12/9/2008 |
Q: verify that sin^6x + cos^6x= 1-3sin^2x * cos^2x
A: Note that the sum of a^6 + b^6 is a sum of cubes when the factors are a² and b². Using this, it ...
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| Stats | 12/9/2008 |
Q: I understand that a sample is a subset of a population of interest and a census is the entire ...
A: When a sample is taken from a population, it only matters how big the sample was to determine the ...
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| Analysis Hw | 12/9/2008 |
Q: I am trying to figure out this question on my Analysis homework: Suppose the f and g are Riemann ...
A: I will assume a and b are chosen. a) This is not true, for you could have f(x)=7 on [0,5] and ...
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| compound interest | 12/8/2008 |
Q: steve gave me a formula for the following starting balance $1000.00 and is compounded at the rate ...
A: I read the problem as 10% every 30 days. It may be meant that it is really 10% per anum and ...
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| Calculus | 12/8/2008 |
Q: Consider the function f defined by f(x)=e^x(cosx) with domain [0,2PI] a. Find the absolute maximum ...
A: Just for curiosity, PI is alos typed alt-227, which gives π. But PI is okay as well. ...
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| math | 12/8/2008 |
Q: how many word can be arranged from "business" with only 2s are adjacent? ANSWER: There are 3 ...
A: There are 8 letters, so the ways of arranging them is 8!. This must be divided by 3! since there are ...
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| trig | 12/8/2008 |
Q: complete the missing values for the trig functions when tan x= 3/4 and csc x= 5/3
A: When the tan(x) = 3/4, the far side is 3 and the near side is 4 (but they could also both be ...
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| Pre-cal | 12/8/2008 |
Q: How do you find arctan of square root of 3 over 3
A: I will assume that the problem is arctan(√3/3). The solution is the angle whose tangent is ...
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| Expenential Equation | 12/7/2008 |
Q: I am really stuck! I believe there is an answer to my problem, it is just beyond me. I have ...
A: These are the factors I need to recognize; 1) 0 - 5 days stay, there is no discount applied. 2) 6 ...
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| Mathmatical Riddle | 12/7/2008 |
Q: I'm Rick and I'd like to resolve a math riddle that conventionally is very easy to solve, but in the ...
A: 3x10=30 is correct, so that's OK, and now the person has 30. From the 30, he takes 5. That means he ...
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| trigonometry | 12/6/2008 |
Q: It is known that sin(a-b)= sin 60 , sin a cos b = sin 30, the result of sin(a+b) divided by ...
A: We are given [S1]sin(A-B)=sin(60°) and that [S2] sin(A)cos(B)=sin(30). It is known that [1] ...
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| compound interest | 12/5/2008 |
Q: steve gave me a formula for the following starting balance $1000.00 and is compounded at the rate ...
A: Here is what I've been told: The original amount was $1,000.00. The interest rate is 10%. There are ...
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| math and demography | 12/5/2008 |
Q: This is kind of a different math question. I guess you can consider it to be a combination of ...
A: I'll assume half of the population is women (which is failry close to what it is). Their birth rate ...
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| Elimenation ad Substitution | 12/5/2008 |
Q: I need to find out the answer to this question, using Elimenation or Substitution. Ian invested ...
A: Divide the money into two pieces, A and 8000-A. 0.09(8000-A) + 0.10A = 740. Multiplying out give 720 ...
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| Word Problem | 12/5/2008 |
Q: Mary has $3.00 in nickels, dimes, and quarters. If she has twice as many dimes as quarters and five ...
A: N=nickels, D=dimes, Q=quarters She has $3, so we know that (A) 300 = 5n + 10D + 4Q. She has twice ...
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| Math word Problem | 12/3/2008 |
Q: I have been stuck on a question for awhile and I was wondering if you would be able to help? I ...
A: We must have equal distance between the center (x,y) and each of the points. Since distance if the ...
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| pre- calculus trigonometric functions | 12/3/2008 |
Q: To find the height of s pole, a surveyor moves 5o feet away from the base of the pole and then, from ...
A: Distance from pole: 5 feet. Eye level height: 6.5 feet (boy, sure is tall - almost 7'). Angle to top ...
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| precal | 12/2/2008 |
Q: convert the polar equation to rectangular form 1. r^2= sin2theta 2. r= 3cos2theta
A: 1. If r² = sin(2Θ), then we can say that r² = 2sin(Θ)cos(Θ) by one of the trig ...
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| trig identities | 12/2/2008 |
Q: Hey, My name is Ben and my class has a test coming up on trig identities. I wanted to do some extra ...
A: 1) It is known that sin(9x) = sin(5x)cos(4x) + sin(4x)cos(5x). What we are given is 2sin(5x)cos(4x) ...
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| Please check my answers only 3 | 12/1/2008 |
Q: What is the equation of the straight line passing through (-1, -3) and (2, 5)? Where does this ...
A: Is this sayting x = 1/8 (x-intercept) and y = -1/3 (y-intercept)? Yes, that is correct. The x ...
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| Math question dealing with many fractions | 12/1/2008 |
Q: Bottle A contains a solution of -6 teaspoons of R oil -3 teaspoons of B oil -3 teaspoons of L oil ...
A: Note that bottle A has 14 ounces, of which 12 are taken and 2 put in B, so bottle A is used every ...
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| Population growth or Decay | 11/30/2008 |
Q: Certain animal, current population 350, is growing 3% each year if left to itself, but hunters kill ...
A: Let x be the number of years. 1. The equation for each year is integer(350(1.03)) - 15, since these ...
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| math | 11/27/2008 |
Q: how many word can be arranged from "business" with only 2s are adjacent?
A: There are 3 letters s. There are 5 other letters, and the way to arrange them is A=5!. Three ...
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| maths | 11/27/2008 |
Q: 1.find the determinant of the following 5x5 matrix 4 1 8 2 5 1 0 0 3 1 4 2 3 1 3 6 4 4 1 0 7 3 1 2 ...
A: Sorry it took so long - I just got back from thanksgiving a few hundred miles away. 1) To find the ...
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| Pre-calculus | 11/25/2008 |
Q: I have to solve: 12sin^2(2x-1)+sin(2x-1)-6=0 on (0,2pi) and show step by step
A: Let u = sin(2x-1). Our equation becomes 12u² + u - 6 = 0. This can be seen to be (4u+3)(3u-2), so ...
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| Weighted Average | 11/24/2008 |
Q: Can you solve the following by using a weighted average calculation? An investor has $30,000 to ...
A: The number is 2/3 from 2% and 1/3 from 5%, so you take 1/3 of 2% and 2/3 or 5% giving 2(1 - 2/3)% + ...
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| Weighted Average | 11/24/2008 |
Q: Can you solve the following by using a weighted average calculation? An investor has $30,000 to ...
A: Let A be the amount of one of the investments. 30,000-A is what we have left for the other ...
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| pre - calc. vectors | 11/23/2008 |
Q: well i was wondering if you could help me solve this question, it says: Let U = [2,3] and V = [-3,1] ...
A: The vector U is [2,3] and the vecotr V is [-3,1]. To add vectors, add each of the componets of the ...
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| triconometry | 11/21/2008 |
Q: what is the value of sin 7 1/2?
A: Trigonometry answer: Is that sin(7½) { which is sin(7.5) }? If so, I will assume the 7.5 is in ...
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| Discrete Mathematics | 11/19/2008 |
Q: Counting, Probability Distributions and Further Topics in Probability From a pool of 8 new hires, 4 ...
A: The number of ways of doing this is 8 choose 4, \ which is 8!/(4!(8-4)!). The symbol ! is for ...
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| standardizing a series | 11/19/2008 |
Q: Good Morning, I have three sets of scores, each with different means and standard deviations. Each ...
A: Is this correct? Yes. I will have one scale? Yes. At least that is on the means, anyway. The ...
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| pre-cal/trig. | 11/19/2008 |
Q: Some confusion when i have to explain what the value of A tells in this data given ...
A: A will tell you the magnitude of the wave. B will tell you how far offset from the x axis the middle ...
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| Solving Systems of Equations | 11/18/2008 |
Q: Solving Systems of Equations using Elimination (with 3 variables) Here is the problem: -5x-z=2 ...
A: Make the first equation -5x + 0y -z = 2, so now we have a y in the first equation. Either that or ...
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| Solving Systems of Equation in Three Variables | 11/17/2008 |
Q: I am in solving systems of equation in three variables part of my chapter and I am having trouble ...
A: 1: Divide second equation (2a=12) by 2, giving the value for a. Subtract 3a from equation 3 ...
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| Math | 11/16/2008 |
Q: Scott, How to you divide a 12 inch circle into 16 equal parts? Thank you, Chris
A: Cut the cricle in half with a line through the center and it's in 2 equal parts. Draw a line the ...
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| Matrix Word Problem. | 11/16/2008 |
Q: I am 21 years old and in a 1st year university algebra course. I am generally fine doing matrix ...
A: A college dormitory has 200 students. Those who watch an hour or more of TV on any given day ...
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| Maths/Normal distribution | 11/16/2008 |
Q: Melons sold on a market stall have weights that are normally distributed witha mean of 2.18kg and a ...
A: The probability we are asked to find is that of a melon being between 2 and 2.5 kg. Assume this if ...
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| Trig help | 11/14/2008 |
Q: I do not understand how to solve this problem: if t varies inversely as y^2, directly as m, and ...
A: t varies inversely to y² means that t = C/y². t varies directly as m means t = Cm. t varies ...
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| SPSS grief | 11/14/2008 |
Q: My daughter (a university student herself) turned me on to this website coz I am really stressed ...
A: I would look at the three case individually and find the mean and variance for each case. Do a ...
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| binomial expansion | 11/13/2008 |
Q: Can you please explain to me binomial expansion.I really dont get any of it, i mean i get pascals ...
A: C(a,b) means a choose b, or a!/(b!(a-b)!). I will now describe the rows in Pascal's triangle. The ...
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| percentage/statistics? | 11/13/2008 |
Q: Wilson I use a data base ,access, for my handicapping hobble. I use gusseamation for some results. I ...
A: Excel In Excell, the results can be put in columns A and B. In column C, put =if($A#=1,A$#,""). ...
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| Comparing the variance of variances | 11/13/2008 |
Q: I am investigating variances between projected and actual costs in my workplace and plan to ...
A: In real life, statistics are used everywhere but they aren't quite right. For example, according to ...
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| Comparing the variance of variances | 11/13/2008 |
Q: I am investigating variances between projected and actual costs in my workplace and plan to ...
A: Compute the variance of both samples. Let n1 be the size of the first sample and let n2 be the size ...
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| vector spaces | 11/12/2008 |
Q: If V is a finite dimensional vector space over F and if W is a subspace of V, prove that: a) W is ...
A: a) Since V is finite dimensional and W is a subspace of V, then W is also finite dimensional. Since ...
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| Probability | 11/12/2008 |
Q: A pair of dice, one red and one green, are tossed. A random variable is defined by subtracting the ...
A: I have attached an image file. Here is the description. The left side is the rolls of the green die ...
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| Comparing the variance of variances | 11/12/2008 |
Q: I am investigating variances between projected and actual costs in my workplace and plan to ...
A: I won't go into detail bu will mention that the variance is always known to be positive. The ...
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| stumped... need an equation to solve these problems | 11/11/2008 |
Q: have a steel cylinder 5 ft long with a diameter of 4 ft. -- 490 lbs per cubic ft. .... calculate ...
A: The way to solve it is to take the length (5 ft) times the area of the circle. Note that the radius ...
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| math proof, need a little help | 11/11/2008 |
Q: Prove that 81 divides (10^n+1 -9n -10) for every nonnegative integer n. I have tried to do this ...
A: (A) Term n+1 is 10^(n+2) - 9(n+1) - 10. Term n is (10^n+1) - 9n - 10). The difference between them ...
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| Proofs | 11/11/2008 |
Q: Let X and Y be elements of the set of intergers. Prove that if 3 does not divide X and 3 does not ...
A: If 3 does not divide x or y, we have four choices: (A) x=3n+1, y=3m+1 (B) x=3n+1, y=3m+2 (C) x=3n+2, ...
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| IMP 4 ( It's Trig I think....) | 11/10/2008 |
Q: On a cold winter day a house is heated until it is warm enough for the thermostat to turn off the ...
A: I think it would be done by using a cos() function that had a zero when the thermostat went off and ...
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| IMP 4 ( It's Algebra I think....) | 11/10/2008 |
Q: The approximate number of hours between sunrise and sunset in Oregon varies throughout the year as a ...
A: a) The equation would be a sin wave. Compute when March 21st is (I believe its the 80th days of the ...
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| IMP 4 ( It's Algebra I think....) | 11/10/2008 |
Q: Mike and Sarah are playing a fun game in which they spin around on an office chair while holding a ...
A: a) Assuming she is spinning sideways and releasing the ball of the side of the chair, we have a ...
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| integration | 11/9/2008 |
Q: Calculate a)integral (e^x) (sqrt(1-e^2x))dx b)integral (x^2)(e^-2x) thank you very much for your ...
A: a) let u=e^x, then du=e^x dx The integral become the integral of √(1-u²)du. Let the ...
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| Derivatives | 11/9/2008 |
Q: Please find derivative of ax^2+b/cx+d Thank you.
A: The derivative of x^n is nx^(n-1), so is the function is ax² + (b/c)x + d? If it is, the derviative ...
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| quadratic equation | 11/8/2008 |
Q: for what value of k,(4-k)x^2+(2k+4)x+(8k+1)=0,is a perfect square. sir,please tell with suitable ...
A: To be a square, let's take x+a and square it. The result is x² + 2ax + a². Note that we have a ...
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| Calculus | 11/8/2008 |
Q: Let a and b be elements of the set of integers. Prove that if a+b and ab are of the same parity ...
A: We have four choices. 1) a odd, b odd, 2) a even, b odd, 3) a odd, b even, and 4) a even, b even. ...
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| Factoring quadratic equations | 11/7/2008 |
Q: we are learning to factor quadratic equations in my online college algebra class and I'm so LOST! ...
A: Note which terms are the same in each factor. I will look at each of the terms in order on each of ...
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| Algebra 1 | 11/6/2008 |
Q: Suppose that a market research company finds that at a price of p=$20, they would sell x=42 tiles ...
A: This is constructing a line with y as p. The first point is (x1, y1) = (42,20). The second point ...
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| Finite Math: Probability | 11/6/2008 |
Q: Here is theTwo people play a game. A single die is rolled. If the outcome is a 3, then A pays B ...
A: There are 6 ways a die can be tossed. 1/6 of the time, the player gets $3, so we'll call that $3/6 ...
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| please elaborate | 11/5/2008 |
Q: Please give me the answer in detail.
A: The null hypothesis is the H0:σ<=2. The alternative hypothesis would be the H1:σ>2. ...
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| ring homomorphisms | 11/4/2008 |
Q: Let phi: F->R, F a field, R a ring and phi a homomorphism of rings. How do I show either phi(a) = 0 ...
A: Let σ: F->R F a field R a ring σ a homomorphism of rings How do I show either σ(a) = ...
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| probability | 11/3/2008 |
Q: A telescope manufacturer wants its telescopes to have standard deviations in resolution to be ...
A: The null hypothesis is the H0:σ<=2. The alternative hypothesis would be the H1:σ>2. ...
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| Trig | 11/3/2008 |
Q: Sin(2x-(pi/3))=1/2
A: Noe that 1/2 = 0.5. Take the inverse sin of both sides of the equation, so that 2x-π/3 = ...
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| Algebra II | 11/1/2008 |
Q: Can you answer this problem?? ax^2+bx+c=0 using the method of completeing the square of quadratic ...
A: This is the original problem ax² + bx + c = 0. Move the loose number over to the other side, ...
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| help!! | 11/1/2008 |
Q: i've worked out these problems already, i would just like to know what you would get! :) 21. The ...
A: The ratio of the present ages of two museums is 3 to 5. Twelve years ago, the sum of their ages was ...
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| stastics | 11/1/2008 |
Q: A central university has a student population of 60000.The university is interested in determining ...
A: The Z table has the value between 2.05 and 2.06 somewhere, so let's call it half 2.055. σ is ...
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| stastics | 10/31/2008 |
Q: A central university has a student population of 60000.The university is interested in determining ...
A: This looks like a binomial distribution. The average is np where is the number of students and p is ...
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| stuck and need some help | 10/30/2008 |
Q: Mr Wilson, I hope you can help me . I'm stuck on these problems and I'm running out of time on this ...
A: First, note that B could be placed anywhere on the circle and that the angle would always be the ...
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| permutation and combination | 10/30/2008 |
Q: Can you show me cleary that the arrangement of n-different things taking r at a time ,such that ...
A: I'll assume by (xPy), you mean what I formally write as P(x,y) which is x!/((x-y)!y!). If we have n ...
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| pre-calc | 10/30/2008 |
Q: i was wondering if you could solve this problem for me. thanxs a lot: tan(x)- (sec^2(x)/tan(x))
A: I find it best in my experience to convert everything to sin(x) and cos(x). Now tan(x)=sin(x)/cos(x) ...
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| Trig Identities. Please help. | 10/29/2008 |
Q: 1+ sin x = cos^2x/1-sin^x
A: I assume the problem is 1+ sin(x) = cos²(x)/(1-sin(x)) since this can be proved by knowing that ...
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| Math -- model fitting | 10/29/2008 |
Q: The following data represents (hypothetical) energy consumption normalized to the year 1900. Plot ...
A: YOu need to find a and b, and get the use Excel to put down the x's in one column and the Y's in the ...
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| help in logarithms | 10/29/2008 |
Q: I am mihir talreja studying in 11th standard . i am not able to solve problems with the help of ...
A: 1. The logarithm is the power of a number. When ln() is used, the base e, where ...
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| maths statistics | 10/29/2008 |
Q: (a) The time, X minutes, taken by Fred Fast to install a satellite dish may be assumed to be a ...
A: (i) P(X<µ+1σ) find a normal table (ii) Look up 0.100 on a normal table, call it x; time is ...
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| Discrete Mathematics: Recursive function | 10/28/2008 |
Q: .. I'm pretty bad with recursive function.. and was wondering if there's any way to improve on that. ...
A: Given this, A(0,0) = 1, A(0,1) = 2, A(0,2) = 3, and A(0,3) = 4. Next we note that A(1,0) = ...
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| Math -- model fitting | 10/28/2008 |
Q: The following data represents (hypothetical) energy consumption normalized to the year 1900. Plot ...
A: The problem really depends on whatQ=aebx means. Is that ae^(bx)? You need to find what some values ...
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| Algebra | 10/28/2008 |
Q: 15x^4 - 19x^2 + 6 = (x + 18)(x - 11)(x + 12) > 0
A: I will take it you are trying to factor the first expression. The quadratic gives ...
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| Discrete Mathematics | 10/27/2008 |
Q: Chapter 6- Systems of Linear Equations and Matrices Use the inverse of the coefficient matrix to ...
A: 1 1 0 2 1 2 -1 1 -1 1 3 3 2 -2 1 1 2 1 0 1 The multipliers are 1, -2, -3, and -1. The ...
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| Factorials | 10/27/2008 |
Q: Hey - I'm prepping for the GREs and it's making me go back to high school problem solving that I ...
A: I checked in a spreadsheet and put down 000 through 999. If any of the digits were 5, I tossed them ...
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| Quadratic-like equations | 10/27/2008 |
Q: Solve for x: 3x^4 - 22x^2 + 7 = 0 I get x = plus or minus the square root of seven and x = plus ...
A: √3/3 is the same as 1/√3 . All that has to be done is to multiply by √3/√3 ...
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| Factorials | 10/27/2008 |
Q: Hey - I'm prepping for the GREs and it's making me go back to high school problem solving that I ...
A: There are 10 choices for each digit under normal circumstances, so there are 10*10*10=1,000 choices ...
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| checking over problems | 10/26/2008 |
Q: Can you please check these for me? I am more confident of my answers this time. 1) Write the ...
A: It looks like you’re guessing at the answers, for almost all of them are wrong. If you knew what ...
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| Quadratic-like equations | 10/26/2008 |
Q: Solve for x: 3x^4 - 22x^2 + 7 = 0 I get x = plus or minus the square root of seven and x = plus ...
A: Just going at the problem, it can readily be seen that it factors into (3x²-1)(x²-7). The answer ...
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| maths probability/statistics | 10/26/2008 |
Q: A company analyses the servicing of machinery at one of its large factories. When a machine is ...
A: As I understand the problem, we are given P(B)=0.1, P(BuC)=0.28. (a) (i) Since B and C are ...
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| Algebra | 10/26/2008 |
Q: I can't figure this out, can you help? Please! (6x-5)^2(3x+1)^2 Can you please show the work so I ...
A: Sorry about that, but I think I misread you're problem. If you have (ax-b)², the answer is a²x² + ...
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| ALGEBRA | 10/26/2008 |
Q: I AM STUCK AND CAN'T FIGURE THIS OUT. I HOPE YOU MIGHT BE ABLE TO HELP ME FIGURE THIS OUT. Find ...
A: If d=-6, e=-7, and f!=23 (f is not equal to 23), then there is no solution. You might also have ...
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| Math | 10/24/2008 |
Q: Determine whether the argument is valid or invalid. A tree has green leaves or the tree does not ...
A: The problem states that has one of two things green leaves does not produce oxygen When it ...
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| Discrete Mathematics | 10/24/2008 |
Q: Solve the system by Gauss-Jordan Method. x - y = 2 x + y = 4 2x+3y = 9 3x-2y = 6
A: The Gauss-Jordan method of solving states that the first term in each row should be 0 or 1 with 0's ...
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| Algebra | 10/24/2008 |
Q: I can't figure this out, can you help? Please! (6x-5)^2(3x+1)^2 Can you please show the work so I ...
A: When we are solving for when this function is zero, we get (6x-5)²(3x+1)²=0. The only two x values ...
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| help | 10/23/2008 |
Q: Tim. I chose (b) for the answer. If it is wrong can you please provide the correct answer with ...
A: I'll assume there are equal angles in this trapezoid at the base and at the top (at least that's the ...
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| quick calculation | 10/23/2008 |
Q: Please let me know if u know the trick to make quick calculations. Like, for example 333 times 131.. ...
A: For that specific example, yes. Divide 131 by 3 and you get 43 2/3. So the answer is 43,666 - 43 = ...
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| Factoring Polynomials (PreCalc) | 10/23/2008 |
Q: Factor this quartic equation: 4x^4-5x^2-6=0
A: Let z=x². The equation is then 4z²-5z-6=0. The quadratic equation will tell us the ...
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| algebra | 10/22/2008 |
Q: I have a few questions. 1. A pasture is twice as long as it is wide. Its area is 115,200 ft ...
A: 1. Let w=width, then l=2w. 2*2w=115,200. Solve from there. 2. 0.6A+0.3(1-A)=.5; solve for A. It ...
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| Discrete Mathematics | 10/22/2008 |
Q: Chapter 6- Systems of Linear Equations and Matrices Hi, could you help me with this word problem. ...
A: You have 4 variables, and only 3 equations. The variables are for brands A, B, C, and D. The ...
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| mathematic | 10/22/2008 |
Q: A central university has a student population of 60,000. the university is interested in determining ...
A: The error value is approximately 1/√n. The ±0.02 with 95% confidence says the number of ...
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| Trigonometry | 10/22/2008 |
Q: cos(2tan-1x) The tan is inversed.
A: Let's look at the inside first. To have tan^-1(x), we need to have far side x and near side 1, so ...
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| maths probability and normal distribution | 10/21/2008 |
Q: A manufacturer of dishwashers uses electric pumps from the 3 suppliers P,Q and R, in the ratios ...
A: Name, supplies, fail P, 0.5, 0.08 Q, 0.3, 0.10 R, 0.2, 0.05 A) i) given Q, failure is 0.10 ii) ...
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| Probability | 10/20/2008 |
Q: Twenty married couples vacationing in Las Vegas participated in a contest. If 20 persons each win a ...
A: That's it. You know, 2^20*(20*19*18...*3*2*1)/(40*39*38*...*23*22*21). You might be able to compute ...
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| probability | 10/20/2008 |
Q: In a large locality, 60 percentage of families have a car, 50 percentage have an air condition and ...
A: Draw a square and quarter it with a horizontal line and a vertical line. The two squares on top ...
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| maths statistics probability and normal distribution | 10/19/2008 |
Q: At a station the probability that the first train in the morning is late is 0.4. Thereafter, the ...
A: The first train is late is 0.4. A) For the first three to be late, we would have 0.4*0.6*0.6. B) ...
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| Finite Math | 10/18/2008 |
Q: Systems of Linear Equations and Matrices Write the augmented matrix of the system and use the ...
A: The matrix would be 2 -1 2 3 -1 2 -1 0 3 -2 1 1 1 -1 1. Take the top row, 1st element, divide by ...
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| Probability | 10/18/2008 |
Q: Twenty married couples vacationing in Las Vegas participated in a contest. If 20 persons each win a ...
A: Either the man or the woman of each couple could have won. This results in 2^20 possible ...
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| Quantitative Analysis | 10/17/2008 |
Q: A telescope manufacturer wants its telescopes to have standard deviations in resolution to be ...
A: a) Null Hypothesis: The resolution is below 2 when looking at objects that are 500 light years away. ...
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| Math | 10/17/2008 |
Q: For sets A and B, determine whether A = B, A is a subset of B, or B is a subset of A ...
A: If you look at the definition for A, it includes 14, 15, 16, and 17. If it was suppose to include 13 ...
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| algebra | 10/17/2008 |
Q: Given R(x)=x(2000-60x) and C(x)=40000+50 where x is thousand of computers and both functions have ...
A: Isn't C(x) suppose to be 40,000 + 50x (the x is missing)? (note that I sort of like putting commas ...
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| calculating e^At | 10/16/2008 |
Q: As i heard there are about 12-13 ways to calculate e^At(A is a matrix)this term usually use in ...
A: Here are a few http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.37.1874 ...
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| algebra | 10/16/2008 |
Q: The manager of a company manufacture surfboard has fixed costs (at o output)$500 per day and the ...
A: As I understand it, the fixed cost is $500 / day, so this is a constant. The $6500 is the cost of ...
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| Trig Proof | 10/15/2008 |
Q: How do you verify that sin(a+b)=sinacosb+cosasinb?? Thanks.
A: I aquired this out of http://www.phy6.org/stargaze/Strig5.htm Given the functions (sinα, ...
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| algebra | 10/15/2008 |
Q: I can't understand this question and would like some help. create a function that has a domain ...
A: If the function can be any function, take y=ln(x + 7/9). The domain of ln(x) is x>0, so if we add ...
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| Math | 10/14/2008 |
Q: Scott, - If A B and B C, can you conclude that A C? Can you conclude ...
A: What I see is this Scott, - If A B and B C, can you conclude that A C? ...
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| math | 10/14/2008 |
Q: please help!!! fA = bh (area of a rectangle) P = 2bh (of a rectangle) A rectangle has area 35 sq. ...
A: x+y=12, so y=12-x, so x(12-x)=35, so x²-12+35=0 (that's how you got there), and now to find the ...
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| Calculus 2 Proof | 10/14/2008 |
Q: Can you give me a proof that the integral of (sqrt(1+x^2)) = ((x/2)(sqrt(1+x^2) + ...
A: I sepnt several hours on this and when I finally came up with an answer, I took the derivative, but ...
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| percents/interests | 10/13/2008 |
Q: I need some help. Ok, say you have $445 put away in the bank. The interest is 3%. How much can I ...
A: Take the 3%, divide by 12, and this is the monthly interest. Multiply 445*F/A, where F/A (future ...
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| Calculus 2 Proof | 10/13/2008 |
Q: Can you give me a proof that the integral of (sqrt(1+x^2)) = ((x/2)(sqrt(1+x^2) + ...
A: I thought about this for a long time, and still can't seem to get it right. I'll give you what I ...
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| Trigonometry equation | 10/12/2008 |
Q: I have a problem with a trigonometry question. The question is: Solve for x, where x falls between 0 ...
A: This factors into [sin(x)+3(cos(x)][sin(x)-cos(x)] = 0. This can be turned into sin(x)+3(cos(x) = 0 ...
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| 3D Vector Questions | 10/12/2008 |
Q: I'm having a little difficulty with doing three of these math questions and since it's the school ...
A: I thought about sending a follow up on how to do 1 better, but you gave me 10 out of 10 ratings, so ...
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| Arithmetic Series/ Geometric Progression | 10/12/2008 |
Q: i am unsure how to answer the followingFind the sum of squares of the first n odd integers. I think ...
A: Look at each of the terms. For n=1, the sum is 1. For n=3, the sum is 1+9=10. For n=5, the sum is ...
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| strategies for problem solving | 10/11/2008 |
Q: time, rate, and distance? Bob has an important presentation to deliver at the meeting and needs to ...
A: The amount of time for the train is gotten by taking the 30 minute stop plus the 156 miles divided ...
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| Re: Maximum and minimum points in quadratic graphs | 10/11/2008 |
Q: I previously asked a question about how to know id the coordinates of the maximum/minimum points are ...
A: The numbers are (1,-4). This means that x is 1 and y is -4. The signs of the numbers are just the ...
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| Qunatitative analysis for managerial application | 10/10/2008 |
Q: Q.1) In a locality 60% of families have a car, 50% have an air conditioner and 30% have both Find ...
A: Q1) You are given P(A), P(B), and P(A n B). The P(A u B) = P(A) + P(B) - P(A n B). a. At least 1 is ...
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| excel formula | 10/9/2008 |
Q: what is the excel formula for calculating yearly growth stated by month. i.e. last year's sales ...
A: If this is as simple as it might seem to be, all you have to do is take 15/12 [ or 5/4 ] and ...
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| Maximum and minimum points in quadratic graphs | 10/9/2008 |
Q: I have used the completing the square method for a quadratic equation and wish to draw a graph on ...
A: a) For a coordinate (4,5), both x and y are positive. b) For a coordinate (2,-6), only x is positive ...
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| Geometry | 10/9/2008 |
Q: Consider a 20-lb pink flamingo that stands 3 ft. tall and has 2-ft legs. Model the height and leg ...
A: Hey - that question was added to my list while I was answering others. Anyway, ... They items that ...
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| Proving Identities | 10/9/2008 |
Q: I need to see how to prove this identity.. [sin(3x)-cos(3x)]^2 = 1-sin(6x)
A: First, not that all mathematical problems, when done properly, convert the left side into the right ...
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| math | 10/9/2008 |
Q: 4sin[2Pi/5(1-0)]
A: I think that the 1-0 is on the bottom of the fraction, even though if it is, it should be (5(1-0)). ...
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| precalc - trigonometry | 10/8/2008 |
Q: i just had a question about my homework. it goes like this: Solve for theta, 0 degrees < theta < 360 ...
A: a. If a triangle is drawn with sin(Θ) = 1/2, make the opposite side 1. The hypoteneuse would ...
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| pre-calc | 10/8/2008 |
Q: Give an example of a rational function with the following characteristics: vertical asymptote: x=3/2 ...
A: To have a vertical asymptote of 3/2, the function needs to be divided by (2x-3). Since there are no ...
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| math proof | 10/7/2008 |
Q: How to prove Fx1 = FX1Cos Theta + FY1Sin Theta and Fy1 = -FX1Sin Theta + FY1Cos Theta? The question ...
A: Given a triangle, take A as the opposite side and b as the adjacent side. The hypoteneuse will be ...
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| Pythagorian Claim | 10/6/2008 |
Q: I was curiouse if you would be able to help me with this claim. I really need some help, I don't ...
A: You've hit upon a subject I myself am interested in. I'm not sure what the number n, 7, 2 have to do ...
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| Probability | 10/6/2008 |
Q: what are sufficient conditions for N events to be independent here N stands for any number of events
A: They need to have a random appearance on a graph that puts them in order. I believe that the ...
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| Math Foundations-Proofs | 10/6/2008 |
Q: Prove that if x is any real number greater than 2, then there is a negative real number y such that ...
A: Take x=3, so we need a y such that 3=2y/(y+1). This converts to 3y+3 = 2y, or y = -1. Take x=4, ...
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| binomial theorem | 10/4/2008 |
Q: Please see the question attached. Thank you for your help!
A: a. If you take all of the number from 1 to n times 2, that is all of the even numbers from 2 to 2n. ...
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| On partial fraction | 10/3/2008 |
Q: Express the following in partial fraction: (x^6-x^5-4x^2+x)/(x^4+3x^2+2) i have tried it many ...
A: Yes, the values you got for A, B, C, and D are right. Note that the final answer is x[x-1 + ...
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| Partial fraction | 10/3/2008 |
Q: Express the following in partial fraction: (x^2+23)/((x+1)^3(x-2)) i have tried it many times for ...
A: To solve a matrix, we need a 1 in each column and the rest of the values 0. When we're done, there ...
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| help | 10/3/2008 |
Q: Find a quadratic equation with integral coefficients having the given roots Ö= root sign iÖ 5 ...
A: By the way, the squareroot symbol, √, is gotten by holding down on the alt and typing the ...
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| Partial fraction ! ? | 10/2/2008 |
Q: Express the following in partial fraction: (3x^3+2x^2+2x-3)/((x^2+2)(x+1)^2) i have tried it for ...
A: This one is straight forward for on the top, x is only cubed, but on the bottom, it is taken to the ...
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| Q. Partial fraction | 10/2/2008 |
Q: Help how 2 do tis question? Express the following in partial fraction: ...
A: The fractions is (2x^4 - 2x^3 + x)/[(4x^2 - 4x + 1)(x-2)]. Multiplying the bottom out again gives ...
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| On partial fraction | 10/2/2008 |
Q: Express the following in partial fraction: (x^6-x^5-4x^2+x)/(x^4+3x^2+2) i have tried it many ...
A: The bottom factors in to (x²+1)(x²+2). First we must divide the bottom into the top to get a ...
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| About partial fraction | 10/2/2008 |
Q: Express the following in partial fraction: (2x^2-5x-5)/((2x^2+5)(4x-5)) i have tried it again & ...
A: Solve the equation (Ax+B)/(2x²+5) + C/(4x-5) = (2x^2-5x-5)/((2x^2+5)(4x-5)). This changes to ...
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| Partial fraction | 10/2/2008 |
Q: Express the following in partial fraction: (x^2+23)/((x+1)^3(x-2)) i have tried it many times for ...
A: The equations are A/(x+1)^3 + B/(x+1)² + C/(x+1) + D/(x-2). This can be all put over (x+1)^3(x-2) by ...
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| pre-cal mixture problems | 10/2/2008 |
Q: How many galleons of a 12% salt solution should be added to 10 galleons of an 18% salt solution in ...
A: You have 10 gallons of 18% salt, adding gallons of 12% salt. What you will add will be x gallons. ...
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| quantitative analysis | 10/1/2008 |
Q: 1. Solve the following system of equation by Cramer’s rule. X1+ X2 + X3 = 10 5X1 - 2X2 + ...
A: 1. Solve the following system of equation by Cramer’s rule. X1+ X2 + X3 = 10 5X1 - 2X2 + X3 = 3 3X1 ...
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| Algebra | 9/30/2008 |
Q: 1. Solve using the Elimination Method. a. 2r - 7s = -57 7r + 2s = 39 What is the solution set ...
A: 1. Solve using the Elimination Method. a. 2r - 7s = -57 7r + 2s = 39 Multiply the first equation ...
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| autocorrelation and multicollinearity | 9/30/2008 |
Q: Can you tell me anything about autocorrelation and multicollinearity? I have a few questions ...
A: What I can say is there is a term called the autocorrelation coefficient. If it has the value 1, ...
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| Algebra | 9/30/2008 |
Q: 1. Solve using the Elimination Method. 2r - 7s = -57 7r + 2s = 39 What is the solution set ...
A: 1. Solve using the Elimination Method. 2r - 7s = -57 7r + 2s = 39 What is the solution set ...
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| Percent in Original Mixture | 9/30/2008 |
Q: In a uniform seed mixture 1/25 is replaced with clover seed. The result is a mixture that is 10% ...
A: We have replaced 1/25 with colver seed, which means that 24/25 have not changed. Let the unknown ...
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| Algebra-Constraints/Linear programming | 9/30/2008 |
Q: I'm having major problems with this specific subject.I don't understand it at all.Here's an example: ...
A: The scale on the x values is between 0 and 5, so we can ignore (a) and (b) in doing the plot, since ...
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| Demand Equation | 9/30/2008 |
Q: Suppose that a market reseach company finds that at a price of p=$20, they would sell x=$42 tiles ...
A: Note: I'll assume that the first question should have an x=42 tiles per month in it (no $) and ...
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| regarding probability | 9/22/2008 |
Q: 6 bicylists has to be chosen from 4 adult and 4 children cola: how many 3 adult and 4 children teams ...
A: I'm not sure how col A and col B are suppose to relate, but here's is how to determine the number in ...
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| The golden mean ratio | 9/22/2008 |
Q: What is the Golden Mean Ratio?
A: 1st Answer ---------- The Golden Ratio was in the title. Now I could say that The Golden Ration is ...
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| combonations | 9/16/2008 |
Q: say you have the following formula 46!/[6!*(46-6)!] aka 46 C 6. what would the answer be first off? ...
A: The answer would be computed as 45*45*44*43*42*41/(6*5*4*3*2*1). 46! isn't computed on calculators ...
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| pre-calc | 9/14/2008 |
Q: Hey I'm in freshman in pre-calc and I've been working on this 100 problem worksheet and I'm down to ...
A: 1. When numbers are multipled, add the exponets, then subtract off the expoents on the bottom. We ...
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| SAT math | 9/14/2008 |
Q: In the xy-coordinate plane, the graph of x=y^2-4 intersects line L at (0,p) and (5,t). What is the ...
A: If L intersects the curve at two points. One is at (0,p), so the possible values of p are solutions ...
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| Arthur's Arithmogons. | 9/11/2008 |
Q: My question is in respect to arithmogons and pattern seeking. I have a book titled Mastering ...
A: Call the endpoint x, y, and z. To solve the first one, we have to solve x+y=49, x+z=37, and ...
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| Matrices | 9/10/2008 |
Q: I have a couple more questions for you, both involving matrices. I have an original matrix that is ...
A: Row echelon form says nothing about deleting columns. To be reduced to proper form, divide R2 by 3. ...
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| combinations of numbers that sum to a given total | 9/9/2008 |
Q: I'm developing some Killer Sudoku software and have come up with a requirement to find out how many ...
A: The first response was apparently wrong since I allowed duplicates to occur. I had tried to insert ...
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| combinations of numbers that sum to a given total | 9/9/2008 |
Q: I'm developing some Killer Sudoku software and have come up with a requirement to find out how many ...
A: Also, note that the reason at 4 there are three choices is because we also have to worry about which ...
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| STATISTICS | 9/9/2008 |
Q: HELP PLEASE :) YOU HAVE A DECK OF 52 CARDS. YOU ARE TO DRAW 4 CARDS. WHAT IS THE PROBABILITY THAT ...
A: (4 C 1) = 4!/((4-1)!1!) = 4!/(3!1!) = 24/6 = 4. (48 C 3) = 48!/(45!3!) = 48*47*46/3*2*1 = 17,296. ...
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| algebra | 9/8/2008 |
Q: Six month ago ,an investment company had a $3,100,000 portfolio consisting of blue-chip and glamour ...
A: Is that current value suppose to be $3,240,000? There is no way it can drop from 3,100,000 to ...
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| algebra | 9/8/2008 |
Q: Investment club An investment club bought a bond of an oil corporation for $5000.The bond yields 8% ...
A: The way I understand this problem is cement drivers were on strike for 46 days and want to get this ...
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| logarithm | 9/8/2008 |
Q: solve this question 0.7^x+1 equals 0.3^x. solve for X.
A: I do not see how to find it exactly. I would use the bisection method with -1 and 1 as my endpoints. ...
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| STATISTICS | 9/8/2008 |
Q: HELP PLEASE :) YOU HAVE A DECK OF 52 CARDS. YOU ARE TO DRAW 4 CARDS. WHAT IS THE PROBABILITY THAT ...
A: There are 52 cards. 48 of them are not an Ace and 4 of them are. 4 cards are to be drawn, with ...
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| Quantative Decision Making | 9/6/2008 |
Q: This is a linear program problem. Are the following objective functions for and LP model equivalent? ...
A: A linear programming problems main equation must have one or more variables that are each in linear ...
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| linear equations w multiple variables | 9/5/2008 |
Q: I need to "maximise a+b+c" subject to 7a-6b-5c is < or = 0 & -9a +8b + 7c < or = 0 where a,b,c are ...
A: I thought that using operations research would provide an initial answer so that I could see what a ...
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| Midpoint and Distane | 9/5/2008 |
Q: Scott, How do you find the midpoint and the distance of a segment without coordinates on a ...
A: The way to do it is with a ruler and compass. We will call the line in question line 1. Using a ...
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| Algebra 2 | 9/4/2008 |
Q: What are the formulas for geometric and arithmetic mean?
A: Let's do the arithmetic mean first, since it is more commonly used. ...
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| absolute value | 9/4/2008 |
Q: How am I to solve a problem with two sets of absolute values. This one I don't understand at all; ...
A: If these are absolute values, the problem is to be typed |x-3|+|x+3|=6. To solve, note where the ...
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| Algebra | 9/4/2008 |
Q: Okay well i wanted to know what is....4 over 5 multiplied by 3 multiplied by 20 subtract by 17?
A: There are several different ways to read this problem. If I read this problem as it's written ...
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| algebra | 9/3/2008 |
Q: Investment club An investment club bought a bond of an oil corporation for $5000.The bond yields 8% ...
A: Since 5% is 1.5% less than 6.5% and 6.75% is .25% higher than 6.5%, inspection tells us that 1.5% is ...
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| gradient | 9/3/2008 |
Q: I need some help Use the gradient -y intercept method to graph: a. y=2x - 3 b. 4y=3x +8 c. 2x +3y ...
A: When an equation is in the form y=mx+b, it passes through b on the y axis and has slope m. a. We ...
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| Math Problem | 9/3/2008 |
Q: The question is using line 1: x+5y=10, Find an equation to the line that passes through (-3, 5) and ...
A: Take the equation y-5=(1/5)(x+3) and multiply out the parenthesis giving y-5=x/5+3/5. Add 5 and ...
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| limits | 9/3/2008 |
Q: How do I find the limit as x approaches 0 of ((1/(x+4))-(1/4))/x ? I do not know the process to ...
A: I would take the equation ((1/(x+4))-(1/4))/x and simplify it. Multiply the 1/(x+4) times 4/4. ...
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| linear equations w multiple variables | 9/3/2008 |
Q: I need to "maximise a+b+c" subject to 7a-6b-5c is < or = 0 & -9a +8b + 7c < or = 0 where a,b,c are ...
A: This is a linear programming problem with the top row as a+b+c. It would be written as such with an ...
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| algebra | 9/3/2008 |
Q: Investment club An investment club bought a bond of an oil corporation for $5000.The bond yields 8% ...
A: To get the total volume, its height*width*depth. The height is 2. The width and depth are both ...
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| Interest Rate Formula | 9/2/2008 |
Q: I would like to know what the formula is to find out what interest rate is on an automobile loan if ...
A: Given P and A, we have (r/12)/(1-(1+r/12)^-m)=A/P. I assume the number of months, m, is known as ...
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| algebra | 9/1/2008 |
Q: Investment club An investment club bought a bond of an oil corporation for $5000.The bond yields 8% ...
A: Compute the interest rate on $0.50 out of $20 by multiplying both by 5 giving $2.50 our of $100, so ...
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| Algebra | 9/1/2008 |
Q: Factor w^2-7-12
A: Is the function really suppose to be w²-7w-12? (If not, it can't be factored). The choices to look ...
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| math question | 8/30/2008 |
Q: Evaluate the difference quotient for the given function. Simplify your answer. F(x) = x + 3 /x + 1 ...
A: Take F(x) from the first equation and put it into the second equation. This gives you x+3/x+1 - ...
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| Triganometry - trisverse | 7/30/2008 |
Q: Can you explain the steps that I need to take in order to figure a triverse. Example, I have 3 of ...
A: Use graph paper, 1"=200'. 1) 600' N is the same as 3" straight up/ 2) 500; N 30° E is the same as ...
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| math | 7/29/2008 |
Q: sir! i'm struggling with precalculus, can you send some precalculus notes, and you pls explain how ...
A: All functions have what is called a domain and a range. The domain where the function is defined. ...
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| tables. please my numbers look right? | 7/28/2008 |
Q: can you give your email addres To follow up, I am sending you hierarchical regression results ...
A: A great way to send them would be to highlight them all, do an edit-cut (or whatever you use in the ...
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| solving a system in three variables matrices | 7/27/2008 |
Q: I just start in this course i need to know the steps to perform, my problem is how do i know what to ...
A: 1. These equations can be rewritten like 2., but using the values from equation 1. Note that I ...
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| Equation of the form y = a sin[b(t - h)] + k | 7/26/2008 |
Q: Table Time (months) Temperature ( ̊F) 1 34 2 ...
A: a. Find the value of b assuming that the period is 12 months. The period of the sin curve is ...
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| The Six Trigonometric Functions | 7/25/2008 |
Q: Find the values of the six trigonometric functions at the angle theta. The point P(-3, 4) is on the ...
A: Since the origin is the other point, the hypoteneuse is just the sqrt(3²+4²). Θ is the angle ...
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| Solving For X | 7/25/2008 |
Q: How would you solve for x in this equation 2^x + 2^(-x) = 5
A: I'd use a spreadsheet and put 2 in A1, 2^A1+2^-A1-5 in B1, 2^A2*(ln(2)+2^-A2*ln(2) in C1. In A2, ...
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| abstract algebra | 7/24/2008 |
Q: Scott, thank you for the help with the other questions I asked. I have another abstract algebra ...
A: The rules to be a ring are as follows: Here we show these rules to be true. If a=b, then a mod n = ...
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| Finding Inverse | 7/22/2008 |
Q: Find the inverse of the function y = x^2 + 5x
A: This can be rewritten as y = x(x+5). The inverse x=y/(x+5) can be started with, but where do we go ...
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| Period, Domain, Range of Function | 7/22/2008 |
Q: 1. y = 3csc(3x + π) - 2 2. y = 2 sin(4x + π) + 3 Determine a. the period b. the domain c. ...
A: period (how often it repeats) ----------------------------- The period for csc(x) and sin(x) are the ...
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| Mathematics | 7/22/2008 |
Q: Solve the following equations for x and y: x + y = 5 x^y + y^x = 17 ANSWER: Try 0 and 5. Try 1 ...
A: One of those was the exact solution - there's only two number to try. 1 and4 or 2 and 3. 1+4=5, 1^4 ...
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| Abstract Algebra | 7/21/2008 |
Q: Scott, I have an Abstract Algebra question. Let Zn = {0,1,...,n-1}under addition and multiplication ...
A: It is an integral domain if the multiplication of two non zero elements gives another non zero ...
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| Abstract Algebra | 7/21/2008 |
Q: Scott, I have an abstract algebra question. Given that componentwise addition of two elements in R^2 ...
A: An isomorphism is an operation that when applied twice, the original obejct is gotten back. In ...
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| Abstract Algebra | 7/21/2008 |
Q: Scott, I have a question in abstract algebra. Given a and b are elements of group G. Prove that if ...
A: In mathematics, an abelian group, also called a commutative group, is a group (G, * ) with the ...
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| Trigonometry | 7/20/2008 |
Q: simplify the following expressions so that they involve a function of only one angle A. sin 80*- sin ...
A: What does the symbol */ mean? I would suspect the expressions to be [sin(80)- sin(10)]/[sin(80) + ...
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| 9x9 table (1-81) | 7/19/2008 |
Q: I have a quick Lesson-Preparation Q. fparents who home-tutor thier children & wld appreciate yr. ...
A: I don't know what use it would be either if the table is to be filled with counting from 1 to 81. ...
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| Stats question | 7/18/2008 |
Q: Wonder if there is any way to determine if there is a significant difference in fish mortality rates ...
A: Find the total dead fish for all the nets and divide by the total fish caught. Do the same ...
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| Amount | 7/17/2008 |
Q: Dimensions of a room- 12' * 16' * 8' Three windows- 2' * 3' Two doors- 3' * 6'5" A gallon of ...
A: Two cans of paint should do. 57'4" (the distance around the room) by 8 feet tall is almost 460ft². ...
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| Amount | 7/17/2008 |
Q: Dimensions of a room- 12' * 16' * 8' Three windows- 2' * 3' Two doors- 3' * 6'5" A gallon of ...
A: Distance around room = 2*12' + 2*16'8" = 57'4". THere is no height here, but I'd guess it to be ...
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| Cos6A | 7/16/2008 |
Q: Establish a formula for Cos6A in terms of CosA.
A: This can be done, but takes a lot of work. The following equations need to be applied first with ...
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| Amount | 7/14/2008 |
Q: Water is collected from a 1 inch rainfall on a 1000 square feet roof. Calculate amount(in ...
A: There are 7.48051945 US gallons in a cubic foot. The number of cubic feet the table has ...
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| rationalize | 7/14/2008 |
Q: rationalize the denometer: 1/(1+(square root of 3)-(square root of 5))
A: The problem is rationalize 1/(1+√3-√5). The best way that I see to do this problem is ...
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| How to find unknown variable in the equation using log function? | 7/11/2008 |
Q: I have following equation, how to solve this using log function? x/y = (z/0.002)^z X & Y are known Z ...
A: To use Newton's method, the function has to be continuous and differentiable between the point ...
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| How to find unknown variable in the equation using log function? | 7/10/2008 |
Q: I have following equation, how to solve this using log function? x/y = (z/0.002)^z X & Y are known Z ...
A: 1. Since x and y are know, choose one z value that makes the right side greater than the left side ...
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| How to find unknown variable in the equation using log function? | 7/10/2008 |
Q: I have following equation, how to solve this using log function? x/y = (z/0.002)^z X & Y are known Z ...
A: Take ln(x/y)=ln((z/0.003)^z). This converts to ln(x) - ln(y) = z*(ln(z)-ln(0.003)), which converts ...
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| Can't figure his out ! | 7/10/2008 |
Q: The costs of doing business for a company can be found by adding fixed costs, such as rent, ...
A: They have a lot of words in the problem to confuse the reader. Note that the base cost is $300 and ...
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| algebra | 7/8/2008 |
Q: Solve the system of equations. Hint: Solve one of the equations for one variable then substitute the ...
A: For the first equation, subtract 4 times the second equation. For the second equation, keep as is. ...
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| help me please on my math | 7/6/2008 |
Q: The cost, in millions of dollars, to remove x % of pollution in a lake modeled by C = 6,000 / 200 - ...
A: I assume the function is suppose to be C=6000/(200-2x)? If not, it would be defined for all x. a. ...
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| FEMA again | 7/6/2008 |
Q: Question After the hurricanes in Florida in the summer of 2004, FEMA sent disaster relief trucks to ...
A: You probably already knew this, but I didn't see it stated. IN operations research problems, all of ...
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| circumference distance by angle | 7/4/2008 |
Q: I would like to know how to figure the distance around a circumferece by a given degree of an angle. ...
A: The answer is in finding the radius (which is 1/2 of the diameter). Once this has been done, the ...
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| can u help me... | 7/4/2008 |
Q: Mr. Scott i can't answer this equation.... can u find the answer... of this equation 3x-y=4x-9 ...
A: Take the equations 3x+y=23 and subtract 3x from both sides of the equation. Using this value for y, ...
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| i want to sulation of this que. | 7/3/2008 |
Q: hai sir i want to sul. this que. Que. How many no. of tens between 100 to 1000.
A: In counting by 10s between 100 and 1000, divide everything by 10 so now it is counting by 1s between ...
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| discrete math | 7/1/2008 |
Q: simplify using property sets 1. (A union B) intersection (A complement union B) intersection (A ...
A: I find it easiest to draw a picture with two roughly circular shapes for a and b that are apart but ...
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| trignometry | 6/27/2008 |
Q: 1)-If cosecA-sinA=a³, secA-cosA=b³then prove that a²b²(a²+b²) 2)- Prove that ...
A: 1) csc(A)-sinA(A)=a^3, sec(A)-cos(A)=b^3, prove that a²b²(a²+b²) is equal to what? Are a, b suppose ...
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| Factorization | 6/26/2008 |
Q: Please factorize this equation: (15x3 + 2x2 + 3)/(3x2 + 2x + 5)
A: Is this question suppose to have a cube and a couple of squares in it? I think it does and that it ...
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| trignometry | 6/24/2008 |
Q: cot²A(secA-1)/1+sinA= sec²A(1-sinA)/(1+secA)
A: On cot²A(secA-1)/1+sinA= sec²A(1-sinA)/(1+secA), the parenthesis are almost correct, except that ...
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| Grad school | 6/23/2008 |
Q: I dont have any problems for you to solve but am looking for advice on Math grad school. I was ...
A: I couldn't really tell you much about which graduate school to go to. What I can tell you is that ...
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| combinations | 6/22/2008 |
Q: `a very dear friend who is math deprived reads the odds as quoted by the illinois LOTTO & tells me ...
A: If you know something is right and someone else disagrees, you had probably not worry about it if ...
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| Quicker maths | 6/21/2008 |
Q: Let me know about some quicker mathematics tricks for basic operations of large numbers ...
A: The ones I know of for large numbers is that they can be rounded to two digits, especially if the ...
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| Integer Algebra | 6/19/2008 |
Q: henry purchased 288 oz. of soft drink for his neighborhood block party. soft drink comes in 12 oz ...
A: I can tell you this: The number of choices that I found were 25. The number of 12 oz cans in these ...
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| Exact values | 6/19/2008 |
Q: Solve using exact values, where 0<x<2pi, i) 2sinx=1 ii) tan2x=sqrt3 Thanks.
A: The answer, x, is suppose to be in radians (since it lies between 0 and 2pi), but we'll look at it ...
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| Triganometry (i think) | 6/19/2008 |
Q: Show that y=xe^x has a minimum value of -1/e when x=-1 thanks in advance
A: To find the maximums / minimums of a function, take the derivative. We have a product of two ...
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| solid of revolution | 6/18/2008 |
Q: i'm real stuck on the following question its in my practice exam: S is a solid of revolution in ...
A: If I understand this correctly, we have the graph x=(2-y)(y-1)^2 defining the curve. The curve is ...
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| values of x and y | 6/17/2008 |
Q: i need help with this problem. find the values of x and y 2+(x+y)i=2-1 x+3i=2+3i thanks!
A: Subtract 3i from both sides of the second equation. This gives a value for x. The first equation ...
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| algebra | 6/15/2008 |
Q: solve 1. if cos x = 1, what is the value of sec x? 2. determine the period of y = sec x? 3. ...
A: 1. Note that sec(x) = 1/cos(x). 2. The period of sin(x) and cos(x) is 2pi. It is known that sec(x) ...
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| Crossword type puzzle | 6/15/2008 |
Q: 1. There are 10 empty places in a crossword type puzzle. each empty place has 2 or 3 choices. (6 ...
A: 1. It would be 2^6 for the 6 empty places with two choices times 3^4 for the 4 spaces with 3 ...
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| statistics | 6/14/2008 |
Q: question statistics show that 76% of families in edmonton consist of married couples.There are 22 ...
A: Since there are 22 students, it would be a binomial distribution with p=(22,11)(0.76^11)(0.24^11) ...
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| trig | 6/14/2008 |
Q: Solve sin2y=cos4y for y, where 0<y<369
A: It is known the cos(2x)=2sin(x)cos(x). Put this in for cos(4y) (x=2y) and both sides can be divided ...
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| algebra factor by grouping | 6/12/2008 |
Q: How is the equation y^3 - y - 20 factored by grouping? That is y cubed minus y minus 20. Thanks.
A: If it were y^2-y-20 we both could see that it would be y^2-y-20 = (y-5)(y+4). It looks like a ...
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| Dart question for probability | 6/12/2008 |
Q: Two dart playesr each throw independently one dart at a target. The probability of each player ...
A: Draw a square and cut it in half both ways. The top squares mean the first person hit and the left ...
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| help. it's been awhile since i've done trig. | 6/11/2008 |
Q: antiderivative of sin 2x
A: Here, x is the variable and b is a constant. The derivative of sin(bx) is b*cos(bx) and the ...
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| square yards of a triangle | 6/8/2008 |
Q: looking for a formula for square yards of a triangle
A: If the triangle is a perfect equilateral triangle, the square yards are given by s^2root(3)/4. If ...
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| math | 6/8/2008 |
Q: If it is true that there is 5,280 feet which = 1 mile, I think that this number is correct, then if ...
A: An acre is known to be a little over 200 feet on a side (43,560 sq ft), so 1.5 acres turns out to be ...
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| Amount of Time | 6/7/2008 |
Q: A steel railroad rail is struck with a hammer at one end and the sound waves are observed at the ...
A: First, note that all of the units don't agree. Multiply the 150 yards by 3 feet per yard. What's ...
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| systems of equations | 6/6/2008 |
Q: a) The sales representative informs you that there are two floor plans still available, and that ...
A: a) x is the number of floor plans that fit #1 and y is the number of floor plans that fit #2. The ...
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| Statistics | 6/4/2008 |
Q: To evaluate an item, 12 persons were asked for their opinion and the result was as follows; very ...
A: The average would be a good approximation to how good the item was valued, but you would also need ...
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| math-systems of equations | 6/4/2008 |
Q: 3. You recently started the paperwork to purchase your new home, and you were just notified that you ...
A: Heavy lifting is 80+35x and Quick Move is 55x where x is the hours worked. a) Put x = 2 into both ...
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| ethics extra credit math problem? | 6/3/2008 |
Q: For our ethics class, my professor told us to solve this question Texas=267,339 sq miles 1 sq ...
A: The average house is between one and two thousand square feet and usually has three of four people ...
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| Capacity Follow-up - 2 | 6/2/2008 |
Q: A cylindrical tank is made of 1.5 in. material and has an outside circumference of 17 ft. 3.5 in. ...
A: Oh, yeah - now I remember that problem. The inside circumference is r = 17'3.5" - 2(1.5"). Note ...
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| remainders | 6/1/2008 |
Q: I was asked an interesting matha number that if divided by 3, the remainder would be 2, if divided ...
A: One way to solve it would be to note that 3 and 5 had the same remainder, so the number minus 2 is ...
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| Systems of equations in three variables | 5/30/2008 |
Q: 6x+2y-z=2 4x-y+3z=-3 2x+2y-2z=3
A: I'll set them up to say what to do as (Eq 1): 6x+2y-z=2, (Eq 2): 4x-y+3z=-3, and (Eq 3): 2x+2y-2z=3. ...
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| Statistics | 5/30/2008 |
Q: An I.Q. test was administered to 10 men before and after they were trained. The results are given ...
A: You've got it right - compute the difference for each person and then apply the t test with 9 ...
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| Probaility | 5/30/2008 |
Q: Assuming that half the cost accountants are commerce graduates, so that the chance of a cost ...
A: To start with, there is a simple binomial experimet with p=0.5 (so 1.p is also 0.5). For this ...
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| Probaility | 5/30/2008 |
Q: In a bolt factory, machines M1, M2, M3 manufacture respectively 25, 35 and 40 percent of the total ...
A: You need to determine the number of defective bolts produced at each machine. To do this, multiply ...
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| probability | 5/29/2008 |
Q: This is a carnival game: The dealer and player each have a fair deck of cards. They deal their cards ...
A: That's right - the true answer is much more difficult and this is only an approximation to it. ...
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| Sequences | 5/29/2008 |
Q: I need help with this question, Find an arithmetic sequence with first term 1, common difference not ...
A: I did it with a spreadsheet. In the first column (starting in row 12), I put in the first 34 terms ...
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| logarithms | 5/28/2008 |
Q: Use logarithms to solve the problem 1.Find the product of 1728*0.00024*0.7462*302.1*7.6094. ...
A: To find the answer using logarithms, find the log of each number. I assume you're using base 10 for ...
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| proving the identity.. | 5/28/2008 |
Q: i can't seem to figure this one out.. or even if it really is an identity or it's one of those ...
A: Note that 1/tan=ctn, so we have 1+ctn^2(x) on the left side. Remember that ctn(x)=cos(x)/sin(x). ...
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| probability | 5/27/2008 |
Q: This is a carnival game: The dealer and player each have a fair deck of cards. They deal their cards ...
A: Given that the cars are coming from two full decks of cards, the chance of any two matching is 1/13. ...
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| Trigonometry Form | 5/27/2008 |
Q: a)give the trig form of the complex #s b)perform the indicated operation using the trig form ...
A: For any variable a+bi, the trig form of the number can be found with the following equations: ...
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| probability | 5/21/2008 |
Q: can you explain to me how i can find the expected number of tosses to get HTT(head tail tail) for ...
A: The probability of getting a HTT is 1/8 after three tosses. If not, it goes to the next toss and ...
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| Probability | 5/21/2008 |
Q: A. From a lot of 12 flares, 4 are selected at random. If the lot contains 4 defective flares, what ...
A: A. There are 12 total with 4 defective. This leaves 12-4=___ good flares. (a,b) is (a choose b). ...
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| Probability | 5/21/2008 |
Q: At Med University, the failure rate is 0.2 per year. There are 15 students registered in the ...
A: a. There are n=fifteen students. The passing rate is b=1-0.2. Take b^n to get the result. b. For ...
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| maths ratios | 5/20/2008 |
Q: A school had an enrollment of 1150 pupils. The ratio of boys to girls was 23:27. a. How many boys ...
A: I made a mistake when I sent that last letter. The part that says, 'Add the 23 and 27 together, ...
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| proofs of integrals involving inverse trig functions | 5/19/2008 |
Q: I need the proofs of intergration of du/squareroot(a^2-u^2) intergration of du/a^2+u^2 intergration ...
A: On the frist one, convert to a triangle with hypoteneuse a is far side u. On the second one, set up ...
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| Probability | 5/18/2008 |
Q: You are dealt a 13 card bridge hand from a 52 card bridge deck. a. What is the probability that you ...
A: This is a basic choice problem. If the are N items with n defective, what's the chance of getting m ...
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| maths ratios | 5/18/2008 |
Q: A school had an enrollment of 1150 pupils. The ratio of boys to girls was 23:27. a. How many boys ...
A: Problem 1 --------- Add the 23 and 27 together, divide 1150 by the result, and multiply 23 and 29 by ...
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| Pre-Calculus | 5/16/2008 |
Q: I was wondering if you could help me with a few pre-calc problems that i just can't seem to get ...
A: 1. It almost looks like the problem is F(X) = [(x-2)(x^2-6x+10)]/(2-x). Note that the top and ...
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| Probability and Statistics | 5/16/2008 |
Q: An automobile manufacturer introduces a new model that averages 27 miles per gallon in the city. A ...
A: 1. Take the average minus the mileage. Divide the result by the standard deviation and look up the ...
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| Trigonometry | 5/14/2008 |
Q: I am looking for a formula regarding non-right triangles. it looked something like "a/A=b/B=c/C" ...
A: Let's say that you know b and A. From here, we know that a/A=b/B and from the law of sines, we know ...
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| probability | 5/14/2008 |
Q: In a pile of 40 oranges, 10 are rotten. What is the probability of getting at least 3 rotten oranges ...
A: If 40 are good and out of them 10 are bad, there are x=40-10 good ones. The odds of getting at ...
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| Advanced Algebra | 5/13/2008 |
Q: I need help with this problem. "Evaluate the functions for the values of x given as 1, 2, 4, 8, and ...
A: Make a table of the x values, possibly in a spreadsheet. Put in the x values and then compute the ...
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| Algebra | 5/13/2008 |
Q: To follow up on the instruction you provided me with on 5/10. How would I physically graph this? On ...
A: On the left side of the graph paper, start on the x-axis. Move across, slowly increasing to one ...
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| Probability and statisitcs | 5/12/2008 |
Q: On a multiple-choice test of 10 questions, each question has 5 possible answers. A student is ...
A: The chance of getting each question wrong is 4/5. Take this value to the number of questions he ...
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| Trig Identites | 5/12/2008 |
Q: I'm having trouble solving this trig identity, 1-(sin^2xtanx/tanx+1)-(cos^2x/1+tanx)=sinxcosx ...
A: Take sin^2(x)tan(x)/(tan(x)+1). It is known that tan(x)=sin(x)/cos(x), so this is ...
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| Trig Identites | 5/11/2008 |
Q: I'm having trouble solving this trig identity, 1-(sin^2xtanx/tanx+1)-(cos^2x/1+tanx)=sinxcosx
A: Is this really suppose to be 1-(sin^2(x)tan(x)/(tan(x)+1))-(cos^2x/(1+tan(x))=sin(x)cos(x)? I think ...
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| Plane trigonometry | 5/11/2008 |
Q: Find the acute angle of cos A = 0.55570 and tan A= 0.13476 to the nearest second?
A: Find the arccos and arctan with your calculator or use a spreadsheet. Be sure you get the answer in ...
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| Trigonometry | 5/10/2008 |
Q: A regular polygon of n sides is inscribed in a circle of radius r. If the area of the polygon is ...
A: The length of the outer side of a triangle inscribed in a circle is a) r^2(1-cos(t)), where t is ...
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| Algebra | 5/10/2008 |
Q: How would I go about finding the exponential function ex and logarithmic function log x, graphically ...
A: I have never done this before, but there's a firts time for everything. Let me try and send an ...
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| home work help | 5/9/2008 |
Q: A girl 1.0m tall standing onthe top of a vertical 45.0m high sees a car some distace away when the ...
A: Take the girls height (since her eyes are close to the top of her head) and add to the height she is ...
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| Probability question | 5/8/2008 |
Q: A local scratch-off lottery works like this: Out of 39 numbers, each day the lottery people ...
A: I get a 10.4% chance of having two of the numbers correct and a 11.4% chance or better of getting ...
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| Algebra | 5/8/2008 |
Q: How would I go about finding the exponential function ex and logarithmic function log x, graphically ...
A: On e^x, note that as x gets extremely negative, e^x gets close to zero from the positive side (above ...
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| system of equations | 5/7/2008 |
Q: could you help me figure this system of equations out by solving for the variables b1, d1, a2, b2, ...
A: Put this in matrix format first with the variables in the order a1, b1, c1, d1, a2, b2, c2, d2. ...
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| verify identity | 5/6/2008 |
Q: I cant seem to get these 3 identities step by step. I need some help please. 1. tan^2t ------ = ...
A: To find the answer to these problems, I convert everything to sin(t) and cos(t). 1. I can solve ...
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| statistics | 5/6/2008 |
Q: A sample of 500 graduates was selected to determine their performance for government and private ...
A: Find the percentage of males and the percentage of females that are going to have government jobs. ...
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| sampling statistics | 5/5/2008 |
Q: First of all, thanks so much for the help. I'm baffled as to how to even start this one! In the ...
A: We both agree that the factor is 100X larger. If 50 dips of the big net are required on average, ...
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| sampling statistics | 5/5/2008 |
Q: First of all, thanks so much for the help. I'm baffled as to how to even start this one! In the ...
A: You're welcome, Craig! What's important about a net is the area with which it is being dragged ...
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| quadratic equations | 5/5/2008 |
Q: A designer, attempting to arrange the characters of his artwork in the form of a square grid with ...
A: It is know that the difference between x^2 and (x+1)^2 is 2x+1. It is also known that the ...
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| Inequalities | 5/2/2008 |
Q: Im having problems solving thes inequalities and putting them on a number line: 1)3X-2/5 > -1. ...
A: For 3X-2/5 > -1, add on what's subtracted from the X side to both sides of the inequaltiy. Once ...
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| Parabola | 5/2/2008 |
Q: Find the equation in standard form of the parabola with focus (-2, 4) and directrix x = 4. This ...
A: I won't go into how you found out what the parabola was, but here is a excerpt from an article ...
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| Math Rule | 5/1/2008 |
Q: What is the rule for the input x = 1,2,3,4,5 and the output y = 14,18,22,26,30
A: Note that the x's have a difference of 1 between each two consecutive terms and the y's have a ...
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| can you you use cosine law to solve a right angle triangle | 5/1/2008 |
Q: how would i use cosine law to solve a right angle triangle can you also include a example
A: The law of cosines is c^2=a^2+b^2-2ab(cos(C)). To solve a triangle, you need to know three of the ...
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| precalculus | 4/30/2008 |
Q: I'm having problems with the following expressions: Find the exact value: 1. tan(pi/6 + pi/4) 2. ...
A: The way I do tan(x) is to note that tan(x) = sin(x)/cos(x). Once you have done that, note that ...
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| Question | 4/30/2008 |
Q: How can you find the LCD of the following numbers 12,26,72? ANSWER: What to do is to determine the ...
A: 1. A proposition is something that can be proved mathematically to be true all the time. I only see ...
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| Quantitative Analysis For Managerial Applications | 4/29/2008 |
Q: In a random sample of 200 persons of a town,120 are found to be tea drinkers.In a random sample of ...
A: The first probability p1 is 120/200 = _____. The second probability p2 is 240/500 = _____. (you ...
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| Quantitative Analysis For Managerial Applications | 4/29/2008 |
Q: Find the area under the standard normal curve,which lies a.) To the left of z=0.94 b.)To theright ...
A: Just to let you know, 68% of the population lies within 1 sd of the mean, 95% of the population lies ...
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| math | 4/26/2008 |
Q: . Using matrix inversion method, solve the following system of equations 2x-y+2z=6 x-2y+3z=6 ...
A: I would choose the second equation as the top equation and then subtract 2* and 3* this equation ...
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| Logarithms | 4/24/2008 |
Q: Variables x and y are related by the equation y = 5x^3. Explain why plotting values of log10y ...
A: The straight lines slope would be found in the exponent. It would result in a straight line since ...
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| algebra | 4/24/2008 |
Q: Tell whether the system has no solution, 1 solution, or infinitely many solutions... y=-2x-5 ...
A: y=-2x-5 and y=-2x+4 are parallel lines (no solution). In y=5x-2 and y=-x+3, both equations are ...
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| Math (grade 10) | 4/23/2008 |
Q: I have been having so many difficulties with these certain equations, I'm not understanding how one ...
A: First, the questions could be written better. The square root of x is the same as x^(1/2) = x^0.5. ...
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| mba | 4/23/2008 |
Q: 4. In a random sample of 200 persons of a town, 120 are found to be tea drinkers. In a random sample ...
A: To compute the variance of each set, compute p (tea drinkers/total people) for each set. The ...
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| Verifying Identities | 4/23/2008 |
Q: how can I solve these problems? I cannot verify them. I am having a hard time. 1) (cos u/1+tan ...
A: 1. Convert the left side by knowing than tan=sin/cos and ctn=cos/sin. Get a common denominator on ...
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| help! | 4/23/2008 |
Q: Simplify the expression... 7x to the negative 8 power times 6x to the 3rd power. (-10g to the 7th ...
A: 7x to the negative 8 power times 6x to the 3rd power This can be rewritten as (7x)^8 * (6x)^3. ...
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| college math | 4/22/2008 |
Q: Please help me solve...step by step 1. 4x+5=17 2. 2[6x-4(x-2)]=7x+1 3. 3x^2-11x-4=0 Thanks for ...
A: 1. Subtract 5 from both sides, divide by 4 on both sides, problem is solved. 2. Multiply by the 4 ...
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| finite math | 4/20/2008 |
Q: assume that the sales of a certain appliance dealer are approximated by a linear function. supose ...
A: Let r be the difference between $64,500 and $6,500. Let s be the difference between 1987 and 1982. ...
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| finite math | 4/20/2008 |
Q: Behemoth back packs inc. finds that the cost to make x back packs is c=129x + 6687, while the ...
A: Take profit = cost * revenue. Find the derivative of profit and set it equal to 0, then solve for ...
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| AP statistics | 4/20/2008 |
Q: depth from surface of earth to refracting layer beneath the surface can be estimated using methods ...
A: Haven't I answered this before? Maybe it was from someone else who has the same teacher. Note that ...
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| finite math | 4/19/2008 |
Q: solve the inequality. X(2 THE 2ND PWR)-1.01X-83.19<0
A: This looks like X^2 - 1.01X - 83.19<0. If it were an equality, then you would use the quadratic ...
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| Linear Programming | 4/19/2008 |
Q: After the hurricanes in Florida in the summer of 2004, FEMA sent disaster relief trucks to the state ...
A: C=cargo; W=25; G=150; G>=10; W>=2G; G helped 20 people; W helped 2; 25W+150G<=6000; G>=10; W>=2G (no ...
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| Descriptive Statistics | 4/19/2008 |
Q: I am excellent at corresponding the data classification and the uses but I need help solving the ...
A: 1. The answer you have is incorrect and is really one of the ones listed. Take the number at each ...
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| An Open Economy IS-LM Model | 4/17/2008 |
Q: Consider the following model of an open economy Y-C(Y)-I(r)-X(e)= G L(Y,r)= M X(e)+ F(r)= 0 The ...
A: Investment = savings, Y-C(Y)-I(r)-X(e)= G, demand = supply on money, L(Y,r)= M, and exports minus ...
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| The Discriminating Monopolist | 4/17/2008 |
Q: Consider a firm that sells in two separate markets. The inverse demand functions in the two markets ...
A: (a) Take the derivatives of p1 and p2 and set them equal to zero to maximize q1 and q2. (b&c) The ...
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| Quantitative Analysis For Managerial Applications | 4/16/2008 |
Q: In a random sample of 200 persons of a town,120 are found to be tea drinkers.In a random sample of ...
A: The first is p1=120/200 and the next is p2=240/500. The overall p to be used is p=(p1+p2)/2. The ...
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| Quantitative Analysis For Managerial Applications | 4/15/2008 |
Q: In a random sample of 200 persons of a town,120 are found to be tea drinkers.In a random sample of ...
A: Note that if the first one is multiplied by 2, you get 200*2=400 and 120*2=240. The 240 is the same ...
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| Quantitative Analysis For Managerial Applications | 4/15/2008 |
Q: What is the time-series?Mention its important components.How a time series can be analyzed.
A: A time series is a set of measurements taken over time. The important components are how often the ...
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| Quantitative Analysis For Managerial Applications | 4/15/2008 |
Q: Using matrix inversion method,solve the following system of equations 2x-y+2z=6 x-2y+3z=6 ...
A: Hold the second equation constant. Subtract 2 times it from the first equation. Subtract 3 times ...
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| Quantitative Analysis For Managerial Applications | 4/15/2008 |
Q: Find the area under the standard normal curve,which lies a.) To the left of z=0.94 b.)To theright ...
A: Find a table of normal distributions and see what it gives. Note that on the following table, 0.00 ...
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| Function Problem (corrected) | 4/15/2008 |
Q: Need your help: (I'm so sorry for my previousattached scanned copy of this question) Consider the ...
A: a) Find f', g'. Note that f' is d(p)/p where p is the polynomial inside the ln. Put them into the ...
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| college algebra | 4/14/2008 |
Q: I'm trying to solve for x when: log(1+x) + logx = log(x+4). please help
A: Note that when the log function is added, like log(a)+log(b), it is the same as log(ab). When one ...
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| urgent question on probability and statictics | 4/14/2008 |
Q: 1,what is statistical hypothesis testing ii,what is confidence interval iii.in a particular ...
A: For b and c, I have been thinking about them. (lt)ke^(–lt)/k where l=lambda=average and t is the ...
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| Verifying identities | 4/14/2008 |
Q: I am wondering how to even start this problem and finish it step by step. cos4t = 8 cos^4 t - 8 ...
A: I'll assume the problem is cos(4t) = 8cos^4(t) - 8 cos^2(t) + 1. Let's start with the left side, ...
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| Some tricky problem.NEED HELP | 4/13/2008 |
Q: Please help me to solve these questions and understand every steps of solving these questions. I am ...
A: :) Cheer up! I'm not sure how to find it exactly, but one way to approximate it is to note that by ...
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| ratio problems | 4/13/2008 |
Q: ) if the reaction time of a driver is 0.9 seconds, how far will the car travel in this time if the ...
A: 1) Multiply by 1000m/km, 60min/hr, and 60sec/min. 2) 1.5% means 1.5 per hundred. The question is ...
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| Maths | 4/13/2008 |
Q: at some stops a certain bus picks up 5 peeple.at other stops he picks up two people but at the same ...
A: Let a = stops where 5 get on; let b = stops where 2 get on and 5 get off; let T be the total people ...
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| Maths | 4/12/2008 |
Q: suppose a metric clock uses the following system 1 day = 10 metric hours 1 metric hour = 10 metric ...
A: 4.567 must be divided by 10 to give the fraction of the day that has passed (some number between 0 ...
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| plane trigonometry | 4/12/2008 |
Q: 1). Find the value of: a. log sin 62°22'33" b. log cot 28°13'17" c. log cos 125°15'23" ...
A: 1a. To compute for 1), input seconds, divide by 60, add to minutes, divide by 60, and add to ...
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| Maths | 4/12/2008 |
Q: AT GFDSGFUHG FESYBFV
A: I need some hint on how to solve this problem, like maybe its a famous saying from somewhere. In ...
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| Maths | 4/12/2008 |
Q: suppose a metric clock uses the following system 1 day = 10 metric hours 1 metric hour = 10 metric ...
A: The metric clock registers 4.567, so make the adjustment to hours by multiplying by 24/10. This is ...
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| Ratio problems | 4/12/2008 |
Q: 1)Express the scale 25mm to 500km as a ratio in the from 1:a. 2)the scale 25mm to 500km is ued to ...
A: 1. There are 1,000 mm in a meter and 1,000 meters in a kilometer. 25 to 500 is 1 to 20, but then you ...
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| precalc question | 4/10/2008 |
Q: prove: sin(π+ϑ)=-sinϑ
A: Consider the sine wave from 0 to 2*pi and this can be seen. It can be proved with the definition of ...
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| diffretiating absolute values | 4/8/2008 |
Q: I am having difficulty solving this problem , Sir please could you guide me step by step to solve ...
A: Yes, that is correct. I'm not sure what the sentence that starts, 'In general when is a function ...
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| Consumer Math | 4/8/2008 |
Q: Would it be logical to pay for something that costs $0.41 with the amount of $1.06, $1.00 plus one ...
A: You seem to have caught me on the computer this time, but usually I'm on it Monday - Friday in the ...
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| Converting Mills & Cents | 4/7/2008 |
Q: I want to convert 36.4 mills to dollars. If 1 mill equals 1/10 of one cent, how do I determine the ...
A: 1. Yes, they are correct. 2. When you have 234 mils, you multiply by 1 cent/10 mils, giving you ...
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| figuring out a circumference | 4/4/2008 |
Q: I have 16 canvases on which I have painted a 460 degree view of a scene. Each canvas is 16" X 20". ...
A: The room needs to be divided into 22.5 degree angles. 20 inches is the width of each, so 10 is half ...
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| Recurrene Relations | 4/4/2008 |
Q: I know something and I'm looking for a proof of it. Consider this recurrence relation. ...
A: Are you familiar with difference tables? Calculate a(0), a(1), and a(2) and finish off the ...
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| figuring out a circumference | 4/4/2008 |
Q: I have 16 canvases on which I have painted a 460 degree view of a scene. Each canvas is 16" X 20". ...
A: When they are displayed in a circle, a doorway needs to be left between the first and the last so ...
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| Consumer Math | 4/4/2008 |
Q: Would it be logical to pay for something that costs $0.41 with the amount of $1.06, $1.00 plus one ...
A: You've answered you're own question, so all I've got to say is, 'Yes, that is correct.' That ...
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| help! the things ive got to know to be a kindergarten teacher in nz! | 4/3/2008 |
Q: Hey help i have to figure out these two problems and then do a write up about how i went about it. ...
A: 1. The length is x and the width is y. The area A = length * width, or A1=xy. The new area is ...
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| Randomness and Probability | 4/2/2008 |
Q: 3 couples, 6 individuals, sit down randomly around a round table. What is the probability that at ...
A: As I said in my response to your question, I would work on the answer and determine what it truly ...
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| Trigonometric Form of Complex numbers | 4/1/2008 |
Q: Find the three cube roots of 8, and leave answers in standard form (a + bi form) Thank you Scott
A: In polar coordinates, the answer are all of length 2. One is at angle 0 (the real number) and the ...
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| PRE CALC | 4/1/2008 |
Q: I KNOW HOW TO DO THIS. BUT THIS QUESTION JUST SEEMS HARD BECAUSE ITS KIND OF COMPLICATED TO FIND A ...
A: First Help ---------- Solve the first equation for x in terms of y and z, then substitute this value ...
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| equations | 3/31/2008 |
Q: using the equation: I = 0.8[1-10^(-0.0434t)] after ,t, sec a) what is the current after 5 s b) ...
A: Multiply out the 0.8, subtract off the constant from both side, and multiply by a negative. After ...
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| Probability work problems | 3/31/2008 |
Q: As a reward for a record year, the Ace Software Company is randomly selecting 4 people from its 500 ...
A: There are a total of 500 people. There are only two we are interested in which means there are 498 ...
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| Logarithms | 3/30/2008 |
Q: So I am stumped on how to solve these Logs: 12. log5(x - 1) + log5(x - 2) - log5(x + 6) = 0 13.a) ...
A: log(a) + log(b) = log(ab); log(a) - log(b) = log(a/b); log(a^b) = b*log(a). When log(x) = 0, x=1; ...
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| College Algebra | 3/30/2008 |
Q: Do you mine checking my Math Homework? Question #1 / 40 Add. Question #2 / ...
A: Now that I have time to review the entire question, I don't see any problems, only what was done to ...
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| Thermal Energy Problem | 3/27/2008 |
Q: How many calories are needed to melt 50 grams of ice at 0C and convert it to liquid water at 35C?
A: A calorie is a measure of heat that heats 1 gram of water 1 degree centigrade. The 50 grams and 35C ...
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| trigometric functions | 3/26/2008 |
Q: given that cosec theta=-2, cot theta=square root 3and -pi,theta,pi find exact value of theta in ...
A: Restated problem: t=theta; csc(t)=-2, cot(t)=3^0.5, given -pi,t,pi in radians, find t. t=angle, ...
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| College Math | 3/25/2008 |
Q: Problem 1: Line 1: y = -2x + 3 Line 2: y = -x + 1 Is this system of equation. A.) inconsistent B.) ...
A: For Problem 1 please check my below answers. Line 1: y = -2x + 3 Line 2: y = -x + 1 They are ...
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| trigonometric equation | 3/24/2008 |
Q: how to simplify: 1-tan^2(15)/tan15
A: It looks like the problem is suppose to be (1-tan^2(15))/tan(15). You could convert tan to sin/cos, ...
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| trigonometry - the design of glasses | 3/24/2008 |
Q: The wine glass bowl maybe modelled by the following: y= a cosec (x/2)-b, 0¡Üx¡Ü2¦Ð, 0¡Üy¡Ü5. ...
A: y= a cosec (x/2)-b, 0¡Üx¡Ü2¦Ð, 0¡Üy¡Ü5 - that is the curve given. You have told me the ¦Ð=pi and I ...
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| College Algebra | 3/22/2008 |
Q: 2.) Find the values of x and y that solve the following system of equations:We call the two numbers ...
A: 6. Let m1 = miles driven with the first car, m2 = miles driven with the second car. Let g1 = gas ...
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| College Math | 3/22/2008 |
Q: 10.) A motorboat travels 549 km in 9 hours going upstream and 776 km in 8 hours going downstream. ...
A: It makes sense that the boat takes a little longer going upsteam than downstream, but shouldn't the ...
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| College Algebra | 3/20/2008 |
Q: 2.) Find the values of x and y that solve the following system of equations:We call the two numbers ...
A: 2&4. Solve one equation for x, substitute into the other equation so you have a solution for y only. ...
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| algebra 2 | 3/20/2008 |
Q: my question is about factoring ax2+bx+c=o to the quadratic formula. How do you solve for x to give ...
A: Divide by a and complete the square, moving extra constants to the right side. Take the squareroot ...
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| equations | 3/18/2008 |
Q: How do I solve the following equation: 7x³ + 23x + 6 = 0
A: Is that really an x cubed in the first term? It's hard to tell, but I guess that's what it is. One ...
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| Rule for Function Table | 3/14/2008 |
Q: What is the rule for this table? In 1 2 3 1 2 Out 10 20 30 40 50 I am totally ...
A: It would appear that the output is always 10 greater. So what's 50+10? It also appears like the ...
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| polynomials | 3/14/2008 |
Q: how can i find the graph & the equation for these two statements: - An odd-degree function with 3 ...
A: Odd degree means all of the exponets are odd. If there is one max/min, the order on x is 1+1. If ...
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| probability | 3/6/2008 |
Q: Five of the 12 members of the board of directors of Giganticus, Inc., will be placed on a ...
A: There are 12 ways of picking the first member, 11 ways of picking the second member, ..., down to 8 ...
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| Parametric equations | 3/5/2008 |
Q: The quarterback of a football team releases a pass at a height, h, of 7ft above the playing field, ...
A: Take h = vt - 16t^2 and d = vt where h is the height, d is the distance traveled, and v = v0*sin(45) ...
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| trigonometry | 3/4/2008 |
Q: A quadrilateral is inscribed in a circle. Two of the adjacent sides are 4 cm and the other two are ...
A: Take all four lines and draw them to the center of the circle. This would make each of the lines a ...
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| Equations of functions | 3/3/2008 |
Q: i am so lost please help. A lifting body's flight path was measured at (0, 45000) (1000, 44500) ...
A: Looking at problems 1 & 2, it looks like you need to fit a quadratic equation to the points. To ...
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| Gabor Filter / Gaussian Envelope | 3/1/2008 |
Q: I have come across an equation called a Gabor Filter (also called a Gaussian envelope I think). I am ...
A: It is used in weather, as can be seen in http://www.freepatentsonline.com/5563604.html. It can be ...
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| Trigonometric identities | 2/28/2008 |
Q: In a triangle ABC ,prove that : Sin(A/2) + Sin(B/2) + Sin (C/2) =1 + ...
A: Use the half angle formula on both side of the equation. The half angle formulas are sin(A/2) = (1 ...
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| Trigonometric identities | 2/28/2008 |
Q: In a triangle ABC ,prove that : Sin (A/2) + Sin (B/2) + Sin (C/2) =1 + 4Sin ((pi-A)/4) Sin ...
A: Use the half angle formula on both side of the equation. The half angle formulas are sin(A/2) = (1 ...
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| Triangle | 2/27/2008 |
Q: A triangle with length of 7.5 cm, length of 11 cm and a X cm. what is X closer to: a. 1cm b. 2cm c. ...
A: In a triangle with sides A, B, and C, let t be the angle opposite side C. It is known that A^2 + ...
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| converting yearly data into monthly data | 2/27/2008 |
Q: I do not know how to convert yearly data into monthly data (with a constant growth). I am using ...
A: Your welcome, and here is the equation to use F=((1+i)^n-1)/i)A where F = future value, A = ...
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| Trigonometry | 2/27/2008 |
Q: solve: Cos2A+Cos8A=Cos5A
A: Use the half angle formulas - several times. A good one to use is Cos(2x)=2Cos^2(x)-1 - several ...
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| Pre-Calc | 2/26/2008 |
Q: A ferris wheel with a diameter of 40 feet and a center 27 feet off the ground rotates at a rate of 1 ...
A: The diameter is 40 so the radius is 20. This means the edges of the ferris wheel goes from 7 to 47 ...
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| statistics | 2/26/2008 |
Q: what is the items that appear in ungroup distributions table but none in the grouped distribution ...
A: From what I know, a grouped distribution is only a histogram of data from almost any distribution. ...
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| Trig | 2/26/2008 |
Q: My question involves finding the exact value of sin2theta, cos2theta and tan2theta for this angle: ...
A: Let t be theta. It is known that sin(2t)=2sin(t)cos(t), cos(2t)=cos^2(t)-sin^2(t), and ...
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| practicing normal random variables | 2/25/2008 |
Q: .. I am having a really hard time figuring out what my window settings should be for the ...
A: The answer, assuming we are using a normal distribution, is (v-n)/s^2 where v=value, n=average, and ...
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| Maths B | 2/25/2008 |
Q: Davey Jones is the Captain of an oil tanker which needs to dock at port to unload cargo. With a ...
A: a) Assume the low tide is just as far below 40 as the high tide is above it. Construct a linear ...
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| i need help with a few questions..nobody n my family can explain | 2/14/2008 |
Q: Simplify: x 3x+2 ___+ ______ x-1 x(squared)+3x-4 problem 2- Simplify: 4v ...
A: Simplify: x 3x+2 ___+ ______ x-1 x(squared)+3x-4 Note that the right side denominator factors ...
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| Algebra | 2/14/2008 |
Q: I need help with a couple of math problems Solve for x: 12x^3-16x^2=-5x (3x-1)^2=25 ...
A: 12x^3-16x^2=-5x: Add 5x to both sides, factor out and x and solve the remaining quadratic equation. ...
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| Plot the graph of the equations | 2/14/2008 |
Q: 1. Plot the graph of the equations 2x - 3y = 6 and 2x + y = -10 and interpret the result. 2. Plot ...
A: 1) Convert the equations to y = mx + b and the slope is m with b as the y intercept. 2) See answer ...
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| college math 1 | 2/14/2008 |
Q: having problems answering this question. Task Determin whether each relation is a function. In ...
A: One good way to do this is to plot the graph and see if any function jumps out as passing through. ...
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| demand and supply | 2/13/2008 |
Q: I am confused on how to form the equation for the demand and supply line.
A: Doing It -------- The way to form a supply or demand equation is taken to be linear in most cases. ...
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| Math question | 2/12/2008 |
Q: lim(ln(4x+7)-ln(2x+13)+ln1) when x is going to infinit
A: Note that when exponets are added, multiplication is done and when they are subtracted, division is ...
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| trigonometry | 2/12/2008 |
Q: Graph y = 3 cos 2pi x
A: It looks like a wave. To find the crossing points (or where the curve is in general), cos(0)=1, ...
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| Linear Algebra Question | 2/8/2008 |
Q: A fine day to you good sir! Let V and W be isomorphic vector spaces. Prove that if V1 is a subspace ...
A: If V1, W1 are proper subspaces of V, W, then the following are true: Given an isomorphic vector ...
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| mathematical modeling | 2/8/2008 |
Q: please explain to me how to find the closed form solution of the equation: ...
A: Let x=.87+.62, y=.87*.62, then A(n+2) = xA(n+1) - yA(n). A closed form is suppose to mean it ...
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| algebra 2 | 2/7/2008 |
Q: These are 4 questions i have, i think i know the answer, but not sure so i put ** next to the one ...
A: Read through my answers. You can determine which ones are right. 1. When two matrices are added ...
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| trigonometric functions | 2/7/2008 |
Q: How do i give three expressions for reciprocal,quotient, and pythagorean identities for cot ...
A: Use the trig identities tan(x)=1/cot(x) and tan(x)=sin(x)/cos(x). The reciprocal of some function ...
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| ALGEBRA 1 | 2/7/2008 |
Q: I am working on 3 Algebra 1 problems and I cannot come to the correct answer, and don't know what I ...
A: By illegal, I assume you mean values where there is no solution. To do this, we need a 0 in the ...
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| Pre-calc - trig | 2/7/2008 |
Q: Show that the equation has at least one solution in the interval 0 to pi/6 x + sinx = 1 It came ...
A: Take f(x) = x + sin(x) -1 on 0 to pi/6. We are trying to show this is 0 somewhere in between. ...
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| math | 2/6/2008 |
Q: sketch histogram for these data 0,0,1,2,2,3,3,4,4,5,6,7,7,7,7,7,8,10,12,20
A: A way to do a histogram would be to count the values first. There are 2 0's, 1 1, 2-2's, 2 3's, ...
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| math | 2/6/2008 |
Q: with density function find p(x)=0.5 cos (x-z) between -90/2 <x-z> +90/2 if x is length of the ...
A: Note that the cos(45)= root(2)/2. The cos curve is negative for x inbetween -pi and 0, positive ...
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| math | 2/6/2008 |
Q: prove this equation in a t formulae. sinx + cosx = 0.6 sinx=2t/1+t^2 cosx=1-t^2/1+t^2 t=tanx/2
A: Is this solving the equations sin(x) + cos(x) = 0.6 sin(x) = 2t/(1+t^2) cos(x) = (1-t^2)/(1+t^2) ...
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| Entropy | 2/5/2008 |
Q: I have a basic question about entropy.Consider a random variable that takes values 0,1,2 and 3 each ...
A: Entropy is the main item in the second law of thermodynamics and the combined law of thermodynamics, ...
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| Application Practice | 2/5/2008 |
Q: A. Suppose that a market research company finds that at a price of p=$20, they would sell x=42 tiles ...
A: Assume a line with the points (42,20) and (52,10). Use the line fitting from algebra. B) Using ...
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| Pre-cal | 2/4/2008 |
Q: What shape is x= 4sint y= 5cost
A: I would try plotting the function in some spreadsheet. In column A, put values of t from 0 to ...
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| Trig problem | 1/31/2008 |
Q: I'm stumped on a math puzzle that involves the addition of trignometric functions. COS^2 1degrees + ...
A: That's the only way I see to do it is use the exhaustive method. Since you are using the computer, ...
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| trigonometry | 1/30/2008 |
Q: I can't visualize what I am being asked here. This question is just so confusing to me... Can you ...
A: The problem sounds like it's best to assume points A and B are at the same height. What you have is ...
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| formula | 1/30/2008 |
Q: what is the formula for the graph containing these points: (0,20) (5,16) (9,12) (12,8) (14,4) ...
A: At first, the difference table looks like 0 20 5 16 9 12 12 8 14 4 15 0 The first column is ...
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| trigonometry | 1/30/2008 |
Q: I am not doing pretty well in this course but now I'm stuck. I need to know if cosine law works for ...
A: The law of cosines is c^2=a^2+b^2-(2ab)cos(t). For right angles, if t is the right angle, cos(t)=0. ...
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| stuck on a trigonometry identity problem | 1/29/2008 |
Q: I'm having a problem trying to solve this problem: cos^2 x + cos x = cos 2x I set the equation to ...
A: Sorry about that - thanks for reminding me of the right theorem. Take cos(2x) = 2cos^2(x) - 1 and ...
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| stuck on a trigonometry identity problem | 1/29/2008 |
Q: I'm having a problem trying to solve this problem: cos^2 x + cos x = cos 2x I set the equation to ...
A: It looks like you need to use the identity cos(2x)=2sin(x)cos(x). You then get the problem ...
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| Calculating Equation from data | 1/28/2008 |
Q: I am wondering if there is a way to compute formula constants from sample data. I would also need to ...
A: By collecting four sets of data, this will give you four equations with four variables. This ...
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| Permutations | 1/27/2008 |
Q: Also where I have used incorrect notation could you please show me where I have gone wrong. Qu1 A ...
A: You look like this can help you. On the first question, given that a box contains 8 cards with n A ...
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| derivation | 1/24/2008 |
Q: I have a x^3+3xy^2 +y^3 = 1 How do I find all the points on the curve where the curve has a ...
A: The way to find points where a curve has a horizontal tangent is by setting the dervative of the ...
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| functions | 1/24/2008 |
Q: The marketing department of a company estimates that the demand for a color scanner is p = 100 - ...
A: Take P and substitute the equations given in for p and C in terms of x. To find the maximum, set ...
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| Combinations | 1/23/2008 |
Q: Can you help me with this problem? Table 1 Column A Column B Column C ...
A: then click on the Insert menu, going down to Chart. You can click on click on Series, then enter a ...
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| Permutation or Combination | 1/23/2008 |
Q: Separate the 12 face cards from a standard deck of playing cards. Assume that the remaining cards ...
A: First of all, a Permutation is an arrangement and a combination is a way of selecting. 1. To ...
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| functions | 1/23/2008 |
Q: i just would like some help on a few of my functions problems in algebra. 1. Among all rectangles ...
A: 1. The largest area is if the rectangle is a square. 2. 0^2 + 100^2 = 10,000; 10^2+90^2 = 100 + ...
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| dice probability | 1/22/2008 |
Q: what's the probability of getting a sum of at least 18 on 5 six sided dice and on 3 ten sided dice
A: Very good, since there are 8 dice and they only have to average a little more than 2! But ...
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| math(algebra2) (opposite coefficients method) | 1/22/2008 |
Q: x-4y-6=0 x+4y-8=0 x+y-7=0 3x+2y-11=0 3a+5b-7=0 a-2b-4=0 R-9S=2 3R-3S=-10 x-3y=0 3y-6=2x 2a+3b=6 ...
A: Solve one equation for one of the variables, then substitute into the other equation. For example, ...
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| algebra | 1/17/2008 |
Q: the question is...Find an equation of an ellipse with center at origin. The verticies are (+-5,0) ...
A: The center implies that there are no constants, so the formula is ax^2 + by^2 = c, where a nd b are ...
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| Profit/Revenue question | 1/16/2008 |
Q: I have a math question that sort of builds on itself . . . I think I got the first part right, but ...
A: e. I know that profit is revenue - cost. f. Put 20 in for x. g. Put 25 in for x. h. It seems like ...
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| integrability | 1/16/2008 |
Q: How do you know that functions like the gaussian exp(-x^2)or others like (sin x )/x, etc. have NOT ...
A: I have never dealt with quadratures, but I found references to them at ...
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| tough questions | 1/16/2008 |
Q: Please help me with these questions, I'm not really understanding any of these. My name is Shelley ...
A: 1. The Gauss-Jordan method is to put the equations in matrix form. Once this is done, reduce the ...
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| Equations with Fractions | 1/15/2008 |
Q: Solve the following equations for the variable y. a. bx/y = R b. zy/x = b
A: Note that to solve for a variable, the variable in question must be put in the denominator on either ...
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| Question about 22 billion square feet | 1/15/2008 |
Q: How much of earth would we (the world population) cover if we all were next to each other ...
A: Try going to the website http://pages.prodigy.net/jhonig/bignum/qland2.html for a fitting the ...
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| algebra-radical equations | 1/14/2008 |
Q: Can you help me solve this, sqrt 2x+1+x=7
A: sqrt 2x Should be the sqrt(2x), shouldn't it? Subtract (1+x) from both side so the sqrt(2x) is by ...
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| quadratic worded problems | 1/11/2008 |
Q: Tickets for a concert are available at 2 prices. the more expensive ticket is $30 more than the ...
A: Let x be the price of a ticket, then x+30 (not -30) is the price of the more expensive ticket. ...
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| Presented with a tricky maths problem | 1/11/2008 |
Q: I came across this problem which i know to have a solution. I was given this table and asked to find ...
A: I note that in the first row, 17289, 17^2 is 289. In the second row, 22^2 is 484. In the first ...
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| complex number | 1/10/2008 |
Q: Good day sir!! i have a series of related/connected questions below..hope your response/answer will ...
A: The first sentence states, 'If x and y are always perpendicular at P(x,y) in Cartesian plane,...' ...
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| partail fraction decomposition | 1/10/2008 |
Q: how do you know when to divide and what to do with the remainder after long division?
A: I assume you are referring to partial fractions for integration in calculus. Take, for example, ...
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| Trigonometric Equations | 1/9/2008 |
Q: Hey Scott, I've been having some trouble with these problems for a while: 6sin^2(x) = ...
A: 6sin^2(x) = 1-sin(x) can be translated in to 6sin^2(x) + sin(x) - 1 = 0. Let y=sin(x), then we have ...
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| Functions | 1/9/2008 |
Q: How do i prove that: 1 + 2(sinx)(cosx)/cosx + sinx = cosx + sinx
A: Lets consider missing two sets of parenthises on the left, so the equation is really (1 + ...
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| precal | 12/18/2007 |
Q: Eliminate the parameter. Find a rectangular equation for the plane curve defined by the parametric ...
A: y = t + 7, x = 3t, but we want only x and y in the equation, which means we need to eliminate t from ...
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| math/distance | 12/18/2007 |
Q: A pilot, attempting to fly from Middletown to Westburg, a distance of 200 miles, notices after ...
A: a=400, b=180, c=35; a^2=200^2=40,000, b^2=180=32,400, c^2=35^2=1,225. Putting these value into the ...
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| math series | 12/17/2007 |
Q: what's next in the series, and how did you get it? Thanks 110, 20, 12, 11, 10
A: I'm not sure about the 110 out front, but 20, 12, 11, 10 is 6, 5, 4, 3 if the numbers are looked at ...
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| math/distance | 12/15/2007 |
Q: A pilot, attempting to fly from Middletown to Westburg, a distance of 200 miles, notices after ...
A: Construct a triangle with sides 200, 180, and 35. A formula to know with triangles is a^2 + b^2 ...
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| Finding the n for the sum of n squares | 12/14/2007 |
Q: I know that the Sum of i^2 from i = 1 to n is: n(n 1)(2n 1) ------------ = S 6 Is there an ...
A: For small integers, start computing from 1. n n^2 Sum 1 1 1 2 4 5 3 9 14 4 16 30 5 25 ...
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| the number "9" | 12/14/2007 |
Q: I find the number "9" interesting. E.g., the digits of any number divisible by 9 add up to nine. ...
A: I haven't found (or looked for, as of yet) anyone else doing this, but the reason it is true is that ...
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| limits sequences | 12/13/2007 |
Q: Determine whether the sequence converge or diverge, explain reasoning an= (2^n - 7)/(3^n +1) (a ...
A: If we take n to infinity, the -7 in the numerator and the +1 in the denominator become quite ...
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| Alpha | 12/12/2007 |
Q: I have a piece of data and a bunch of questions similiar to this one. How would I solve this ...
A: Find a list of professional subscribers somewhere. I looked and found ...
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| Speed Of Light slowing down | 12/12/2007 |
Q: Let me say first of all thank you for taking the time to answer my question. I have been studying ...
A: Actually, that is an interesting point after I read the articles. As it states in the articles, it ...
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| differential calculus | 12/11/2007 |
Q: u=arctan x/a,find du/dx y=(1+x^2)arctanx-x,find dy/dx y=arctan(a+x/1-x),find dy/dx
A: tan(u)=x/a for the first; differentiate and solve for du/dx. tan((y+x)/(1+x^2)) = x; differetiate ...
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| Precalculus | 12/11/2007 |
Q: My problem is between 1989 and 1997 the percentage of households with incomes of $100,000 or more ...
A: Take the derivative and set it equal to 0. The derivative of x is 1 and the dervative of x^2 is 2x. ...
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| Precal | 12/10/2007 |
Q: Can you tell me step by step how to divide this problem to get 58.6 as answer using a calculator ...
A: Assuiming you're using a standard calculator (not reverse polish), make sure the calculator takes ...
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| a trig problem? | 12/9/2007 |
Q: Imagine slicing a cylinder cross sectionally with a band saw (like slicing a cylindrical loaf of ...
A: Take some point x distance away from the center where the knfie is cutting. Unwrap the path that ...
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| Pre-calc question | 12/6/2007 |
Q: could you please help me with this problem? Use half-angle identities to reduce the power of ...
A: It is know that 1) sin^2(2t) = 2sin(t)cos(t), 2) cos^2(2t) = cos^2(t) - sin^2(t), and 3) ...
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| Calculus Series | 12/6/2007 |
Q: A line passes through the point (1,1/8) and intersects the positive x-axis at the point A and the ...
A: The crossing line creates three congruent triangles. One has base A, height B, and hypoteneuse of ...
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| Precalculas | 12/6/2007 |
Q: Use this formula. a R= log( ---- ) + B t to find the intensity R on the ...
A: For body-wave magnitude, the equation is m sub b = log(A/T) + Q(D,h). Here a=A=amplitude=236, ...
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| calculus | 12/5/2007 |
Q: The Radian measure of 243*41'17" to three deciaml places is? (*=degree)
A: I assume the problem is 243 degrees, 41 minutes, and 17 seconds. To get the answer, divide the 17 ...
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| combining precentages of populations | 12/3/2007 |
Q: I would like to know how to determine how many people in a group have a combination of ...
A: Given 2,000,000 Total 360,000 25 to 35 27.6% childless What you can conclude ...
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| mathematics | 12/3/2007 |
Q: Q.1 can we use a matrix as a function?
A: A matrix is a set of numbers. A few examples are 6 6 17 34 5 2 3 4 5 6 4 -5 3 24 ...
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| integration | 12/2/2007 |
Q: i tried it over and over integrate (1 + tan^2)/tan thanx.
A: First, we need to reduce this to something we can integrate. The best way to do this is to convert ...
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| price-demand equation | 12/2/2007 |
Q: You have surveyed potential customers and operators of other T-shirt companies to help you decide on ...
A: There are two different ways I can interpret this problem. The first one is the first 500 ...
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| Abstract Algebra | 12/1/2007 |
Q: Two monster prob.s - any help appreciated - Problem # 1 Note: Z10 (10 is suppose to be a ...
A: 1. Since Z10 is all integers modulo 10, it is {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}. In set theory, an ...
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| Demand equation | 10/26/2007 |
Q: write a demand equation for which the price elasticity of demand is zero for all prices.
A: From looking it up on the web, I get it's a vertical line. Here is what I found in ...
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| simultaneous equations | 10/25/2007 |
Q: please help; x y - - y - 5 = 0 and - = 7 - x 3 5
A: I assume the equation can be rewritten as x/3 - y - 5 =0 and y/5 = 7 - x. The easiest way to do ...
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| minimize | 10/25/2007 |
Q: Minimize z=4x+y subject to y greater than or equal to -4x+5, y greater than or equal to x, x ...
A: This sounds like a simplex algorithm, but just do it simply by finding the corner points and ...
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| probability question | 10/24/2007 |
Q: Please help me get an answer for this question and show me how to calculate that. If 55 percent of ...
A: To get the probability of two of them paying, just assume that only two pay and one doesn't. The ...
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| combinations | 10/23/2007 |
Q: A hockey team consists og 1 GK, 4 defenders, 4 midfielders and 2 forwards. There are 4 subs: 1GK, 1 ...
A: By 'different teams could finish' I assume you mean the same team with different players. There are ...
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| Halloween Question | 10/22/2007 |
Q: 8 quarts of cider were left in the punch bowl after the Halloween party. If, in addition to the ...
A: One way they could split would be to put 4 quarts into the 5-quart container and give it to Shane ...
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| Functions and Their Graphs | 10/19/2007 |
Q: Determine whether each of the following functions is even, odd, or neither: f(x) = x2 + 81, g(x) = ...
A: An odd function is one in which -f(x) = -f(x) and an even function is one with f(x) = f(-x). I ...
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| mathematician | 10/18/2007 |
Q: Which mathematician came up with the derivative of sin of x equals cos of x? [d/dx sinx= cosx]? I'm ...
A: This isn't an entire answer to your question. However, trigonometric functions were studied by ...
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| Calculus-Practical Problems | 10/17/2007 |
Q: a)A small island is 2 miles from the nearest point P on the straight shoreline of a large lake. If a ...
A: SHe has a total of 10 miles, so I will say the walking distance was 10-x and the swimming distance ...
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| Linear Programming | 10/17/2007 |
Q: Find the dual of the following maximization problem, P = 3 x1 + 4 x2 + 2 x3, subject to the ...
A: This is just an ordinary linear programming problem (all variables have a zero minimum). To find ...
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| Geometric Approach | 10/17/2007 |
Q: I was wondering if you could take the time to help me solve his problem: Using Geometric Approach, ...
A: Draw lines on graph paper about the two constraints. They are y = (4-x)/2 from x+2y>4 and y = -x/2 ...
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| maths algebra | 10/17/2007 |
Q: 1. line AB is a tangent at A (1,7) and intersects the curve at B. find the coordinates of B 2. ...
A: 1. I need more information to find B. Tangent to what? 2. Taking the dervative gives dy/dx - 4x + ...
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| algebra | 10/16/2007 |
Q: I'm having trouble with this: sqrt of [2 + (e^t)^2 + (-e^-t)^2] I simplified it down to sqrt of (2 + ...
A: Remember in basic identities, (a+b)^2 = a^2 + 2ab + b^2? That's the case here, and you have the a^2 ...
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| algebra | 10/16/2007 |
Q: I am having trouble with this: square root of (x^4 + x^2 + 1). I have a feeling I can simplify that ...
A: Let t=x^2, then you have the equation t^2 + t + 1. This equation can't be simplified. In order to ...
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| algebra | 10/16/2007 |
Q: please could you give me a list of all the squared numbers from 1-1000 thanks.
A: This is a question that can be done with your PC (since you have used it to ask me this question). ...
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| World Population | 10/15/2007 |
Q: If the world population of 5.5 billion people were gathered together in one spot, how large an area ...
A: Well, if each person takes up a secion 2x2, then that is 4 square feet per person. To take into ...
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| Increasing Function | 10/2/2007 |
Q: What conditions on a, b, and c will make f(x)=ax^3+bx^2+cx+d always increasing?
A: The constant d can take on any value, since this does not determine the slope of the equation. The ...
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| question | 10/1/2007 |
Q: If I want to find the frequency response of a system, using the Fourier transform (not the ...
A: This is not an answer, but more question on the subject. From what I've seen of Fourier Transforms, ...
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| Adv. Maths | 9/30/2007 |
Q: I've tried to solve this equation 3x2-2x-6=0 by completing by square but couldn't find a conclusive ...
A: I have used Newton's Method from advanced mathematics and have found that the roots are ...
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| math | 9/29/2007 |
Q: and i know the only numbers used are the numbers 2 and 5. how many combinations are there? and can ...
A: There are only 2 numbers used for each digit, so the number is 2^6=2*2*2*2*2*2. You know, ...
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| EXCEl Help | 9/28/2007 |
Q: , meaning..hoe do i type this as a function on excel.. Sales for year increases by 5.55% each ...
A: I'd put 11000 in A1 and 0.0555 in B1. In A2, put =A1*B$1. The dollar sign can be gotten by typing ...
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| math and stat | 9/28/2007 |
Q: A population consists of 6 elements. The values of a variable on these elements are 6, 8, 10, 2, 3 ...
A: The number of samples of size two that could be aquired is given by multiply the number possible for ...
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| trig | 9/27/2007 |
Q: Prove that (sec(t)-1)/(tan(t))=(tan(t))/(sec(t)+1).
A: Well, trigonometry proofs can be reduced to knowing a few key equations. They are 1) tan=sin/cos, ...
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| Trig | 9/27/2007 |
Q: Prove that (2tan(u)/1-tan(u)^2)+(1/cos(u)^2-sin(u)^2)=(cos(u)+sin(u))/(cos(u)-sin(u))
A: Identities used: 1) tan(u) = sin(u) / cos(u) 2) sin(u)^2 + cos(u)^2 = 1. Leaving the right side of ...
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| derivative | 9/26/2007 |
Q: i need help solving this problem. I have been sitting here for hours can you please me show me the ...
A: Putting a grid system in place with you at (0,0), we have the equation for ship 1 to be x(t)= -7 + ...
|
| Probability in poker | 9/26/2007 |
Q: In Texas Hold'em poker, which is seen on TV quite a bit these days, up to 10 players are dealt 2 ...
A: It would seem to me if a pair was removed from the deck, this would increase the chance of another ...
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| Continuity of Trig and Inverse Functions | 9/26/2007 |
Q: My teacher when over his lesson plan really quick and I didnt understand much. I am trying to ...
A: As x approaches infinity... lets say we look at x = 10, 100, 10,000 At x = 10, 1/x =0.1; at x = ...
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| Probability in poker | 9/24/2007 |
Q: In Texas Hold'em poker, which is seen on TV quite a bit these days, up to 10 players are dealt 2 ...
A: Sorry about misreading the problem - the reason for the multiplication was considering a 5 card ...
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| Probability in poker | 9/24/2007 |
Q: In Texas Hold'em poker, which is seen on TV quite a bit these days, up to 10 players are dealt 2 ...
A: The answer to this question for each opponet would be (1)(12/13)(11/13)(10/13)(9/13) = ...
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| pre calc | 9/23/2007 |
Q: I need pointers to solve the following..... square root of 2x+5=2times the square root of 2x+1
A: I take this problem to be (2x+5)^(1/2)=2(2x+1)^0.5, where ^0.5 is the same as a squareroot. Just ...
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| Linear Programming: Equations as Constraints | 9/21/2007 |
Q: This seems like such a simple thing, but I'm having problems anyway. My understanding is this: ...
A: You are correct in choosing x to be the entering variable since you must first satisfy the ...
|
| matrices | 9/21/2007 |
Q: If A,B,C are three non zero square matrices of same order,what is the condition on A such that AB=AC ...
A: The equation could be rewritten so that we have AB-AC=0. Factorin on matrices can be done if they ...
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| maths | 9/20/2007 |
Q: A letter is known to have come either from TATAnagar or from CALCUTTA , just the two ...
A: I will ignore the fact that TATAnagar has some lower case letters in it and consider all of the ...
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| Pre calculus | 9/20/2007 |
Q: Below is what my book said: In this project you will find the points of intersection of the circle ...
A: Circle ------ The circle can be rewritten as (x-1.5)^2+(y+2.5)^2 = 19.5 I get this since the scalar ...
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| augmented matrices | 9/19/2007 |
Q: is there an easier way, other than using a graphing calculator, to solve a three equation augmented ...
A: I don't think there is an easier way like there is for a 2 equation problem. To solve it you could ...
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| Linear Programming: Equations as Constraints | 9/19/2007 |
Q: This seems like such a simple thing, but I'm having problems anyway. My understanding is this: ...
A: A basic problem might be A=2x+3y 4x+y<=50 2x+5y<=40 The corresponding linear programming problem ...
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| word problem | 9/18/2007 |
Q: Amy leaves Georgia driving at a constant speed. After a while she passes a mile marker displaying a ...
A: I assume all of the mile markers represent how far she has travelled thus far. The first two signs ...
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| Math | 9/17/2007 |
Q: if you would be able to answer the following questions it would be a big help. Thank you for your ...
A: If all of the ingredients go in, add them up. A 1000 ml is a liter, so 50.5 + 30.0 + 1,350 + ...
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| Taylor Series | 9/16/2007 |
Q: Please can you help me find the Taylor Series for sin(2x) about x=0 up to and including terms of ...
A: The Taylor's Series is defined to be the summation from 0 to infinity of x^n*(the nth derivative of ...
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