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Advanced Math/Questions Answered by Expert Ahmed Salami

SubjectDate Asked
trig2/8/2012
  Q: Please prove the following (1-cosA)(1+secA)= sinAtanA
  A: (1 - cosA)(1 + secA) = 1 + secA - cosA - cosA.secA = 1 + (1/cosA) - cosA - cosA(1/cosA) = 1 + ...
Pradeep's question - need clarification2/4/2012
  Q: You answered on 1/17 a question for pradeep that involved z values. I have the same question on my ...
  A: As i mentioned in the original solution there are different variations of the normal distribution ...
Statistics1/17/2012
  Q: The Australian Bureau of Statistics reports that of persons who usually work full time, the average ...
  A: We know that z for a value X in a distribution with mean μ and standard deviation σ is z = ...
Sequence and divisibility12/24/2011
  Q: The first term of an arithmetic sequence is 3p+5, where p is a positive integer. The last term is ...
  A: If the first term of an arithmetic sequence is 3p+5 and its common difference is 2, then the nth ...
calculus - Advanced level mathematics12/19/2011
  Q: Q> Find the area under the graph of y = 2(e^1-2x) from x = 0 to x = ln(2) .
  A: For y = 2e^(1-2x), the area from x = 0 to x = ln(2) is A = ∫2e^(1-2x) dx from x = 0 to ln(2) ...
Confusing Calculation12/8/2011
  Q: How should this calculation be solved? (1/7)/ 15 X 21 = ? If I have calculated properly, I get two ...
  A: Since you have two mathematical operators the first one to use would be the division <b>D</b> ...
Confusing Calculation12/7/2011
  Q: How should this calculation be solved? (1/7)/ 15 X 21 = ? If I have calculated properly, I get two ...
  A: Well, you can always use the <b>BODMAS</b> order of operations which in full is; <b>B</b> = Brackets ...
Trig Confusion11/24/2011
  Q: I'm in 6th grade and having some trouble with a trig problem(s) I was wondering if you could list ...
  A: Have you tried using the trigonometric method for an angle in a right triangle? A way to always ...
percentages used as multiple in commo language10/17/2011
  Q: First I'd like to say your answers are always very lucid and accurate. My question is really sort of ...
  A: Yes, its a very common problem. I guess its up to us to point it out to others whenever we can. It ...
Measurement Calculation10/7/2011
  Q: I want to divide 1 foot by 6 inches, but I want the answer to be in feet not inches. What is the ...
  A: I can tell you that 1 foot = 12 inches Are you dividing 1 foot by 6 or by '6 inches'? If you're ...
Pre Calc honors9/17/2011
  Q: Find the quadratic equation x^2 + px + q = 0 if the roots a and b are the dimensions of a rectangle ...
  A: The area of the rectangle, A = ab 24 = ab The diagonal D is related to a and b by the Pythagoras ...
Are my answers correct?8/17/2011
  Q: I would just like to know if my answers are correct to the problems. Can you let me know? Problem ...
  A: The first two solutions are correct. The set Z in Mathematics usually refers to the set of integers ...
Maths-Angle and measurement7/12/2011
  Q: Show that the minute -hand of a clock gains 5 degree and 30 second on the hour- hand in one minute
  A: In one hour, the minute-hand goes 360 degrees while the hour-hand only goes 30 degrees which is then ...
A-Level Mechanics7/11/2011
  Q: Could you please help me with the following question? Q. A load of weight 7kN is being raised from ...
  A: Consider the forces acting on the body. If the body were at rest the tension in the cable would be ...
Trigonometry7/10/2011
  Q: Given that cosec A= 7/2, where 90 degrees < A < 180 degrees. Find the exact value of i. sec A ii. ...
  A: If cosec A = 7/2, then sin A = 2/7 Using the identity; sin²A + cos²A = 1 cos A = √(1 - sin²A) ...
Question about percentages6/22/2011
  Q: I've gotten into a debate with someone over the nature of applying percentage labeling to numbers. ...
  A: First of all, your concerns are not boring or frustrating. Curiosity stands you in good stead for ...
Question about percentages6/22/2011
  Q: I've gotten into a debate with someone over the nature of applying percentage labeling to numbers. ...
  A: Usually, percentages are used to indicate changes in non zero numbers and the definition is sensible ...
Question about percentages6/12/2011
  Q: I've gotten into a debate with someone over the nature of applying percentage labeling to numbers. ...
  A: I'm sorry this is terribly late. I'd be happy to talk more about this, but right now i'll just make ...
Indices6/5/2011
  Q: If 8(4^x-2^x)=2^(x+1)
  A: 8(4^x - 2^x) = 2^(x+1) 8(4^x - 2^x) = 2(2^x) 4(4^x - 2^x) = 2^x 4(4^x) - 4(2^x) = 2(2^x) 4(4^x) - ...
Pre-Cal5/4/2011
  Q: I am so stuck on this question and was wondering if you could help me out. How do you solve 2^3x+1 = ...
  A: 2^(3x + 1) = 3^(x - 2) (2^3x).(2^1) = (3^x)(3^-2) 2(2^3x) = (3^x)/9 2(2^3)^x = (3^x)/9 2(8^x) = ...
Factoring Completely5/4/2011
  Q: How do you factor completely 3a^2b+6ab-24b? My math book is of no help. Thank you for your time.
  A: 3a²b + 6ab - 24b = 3b(a² + 2a - 8) To factor the term in brackets you need two numbers with a sum of ...
Trignometry4/12/2011
  Q: What is sin of the arc-cos of -3/5? how would you solve this without a calculator
  A: A couple of ways but i think its easiest if you apply the identity; cos²x + sin²x = 1 sin²x = 1 - ...
converting some examples into polar form4/8/2011
  Q: how would i convert an equation of the form rcos(at +Theta) into polar form? i have some specific ...
  A: An equation of the form r = f(θ) is already in polar form so i dont quite get you. Anyway, in ...
Incomplete Calculation2/23/2011
  Q: Here is an example calculation: (12/6)/4 X 10 = 2/4 X 10 = 20/4 = 5 Can the same calculation be ...
  A: a) (12/y)/z x 10 = 5 (12/yz) x 10 = 5 120/yz = 5 yz = 120/5 yz = 24 b) (12/6)/y x z = 5 (12/6y) x ...
How can I calculate my grade so far?1/19/2011
  Q: I need to know what I have in my class so far. Is there anyone good at math that can help? So how ...
  A: For the three tests you have an average of (0 + 4 + 29)/3 = 33/3 = 11% Since these tests account for ...
Annual Percentage Yield Calculation1/6/2011
  Q: If I'm not mistaken, the compound interest calculation is p(1 + r)^n. This calculation is a ...
  A: Yes, P(1 + r)^n - P was once (P + rP)^n - P. Now for the percentage thing. Suppose you have a ...
Annual Percentage Yield Calculation1/5/2011
  Q: If I'm not mistaken, the compound interest calculation is p(1 + r)^n. This calculation is a ...
  A: P(1 + r)^n is not the compound interest but the new amount after n periods. A = P(1 + r)^n ...
Compounding Interest12/26/2010
  Q: My new business partner is a great investor, and is saying he can get approximately 10% profit on ...
  A: Well, 10% daily profit is quite astounding. The formula is correct though. A = P(1 + r)^n 10% daily ...
Maths12/11/2010
  Q: 1. Reena and Ruchira borrowed Rs 60000 and Rs 50000 respectively for a period of 3 years. Reena ...
  A: After 3 years, Reena pays an interest of I = 60000 . 10 . 3 / 100 = Rs 18000 But Ruchira pays a ...
Simple Interest12/7/2010
  Q: Here is the simple interest calculation for $100 at 10% for 25 days: $100.00 X 10% X 25/365 = ...
  A: 10% of $100 is the interest for one year, so multiplying by 25 is simply the interest for 25 years. ...
file-deletion time12/6/2010
  Q: I have a program that deletes duplicate photo files, and it deletes them every five seconds. I have ...
  A: Do you mean that it deletes one file every 5 seconds? If so, it'll take 5 x 33464 = 167320 seconds = ...
sequences and series12/2/2010
  Q: I am given the general term of a series to be tn=pi(3/11)^n+1. How many terms must be added to ...
  A: It can be seen that the series is geometric with a first term of π(3/11)² and a common ratio of ...
Series11/28/2010
  Q: Ahmed, Didn't you get my question? If no! then I can send it again.Can you just ...
  A: Sorry for the delay. I cant exactly teach you how to use your calculator but what you need to do is ...
Proportions11/1/2010
  Q: I have seen proportions expressed as follows: a is to b as c is to d, as in a/b = c/d. Example: ...
  A: Yes. 2 is to 4 as 3 is to 6 because 2 is one-half of 4 and 3 is one-half of six. Also, 4 is to 2 as ...
Inverse Functions10/25/2010
  Q: What is the inverse of g(x)= 1/2(x-1)^3-4 I would appreciate your time and help
  A: Let g(x) = y = (1/2)(x-1)³ - 4, then y + 4 = (1/2)(x-1)³ (x-1)³ = 2(y+4) x-1 = ³√[2(y+4)] x = ...
finding function rule10/13/2010
  Q: I need help on my geometry homework,the question says to find the function rule for the following ...
  A: The function f seems to be in arithmetic progression since its value increases constantly by 4 for ...
cross product ,why doesnt this work10/10/2010
  Q: 1. The problem statement, all variables and given/known data A= ci-2j+k B=i+2j-k Find c that makes ...
  A: For two vectors A and B, the dot product is defined as A.B = |A||B|cosθ Now, this is a scalar ...
mathematics10/10/2010
  Q: find the range of values of x for which the common ratio r of a convergent geometric series is ...
  A: The common ratio r of a convergent geometric series is such that |r| < 1. Therefore, |(2x-3)/(x+4)| ...
Algebra10/7/2010
  Q: The sum of three consecutive integers is 53 more than the least of the integers find the integers
  A: Let the three consecutive numbers be x, x+1 and x+2. We could simply just say that 53 is the sum of ...
vectors in 3 dimension and a position vector10/5/2010
  Q: The vector -; = Xl + yj + zk, called the position vector, points from the origin (0. 0, o) to an ...
  A: First to correct one of your statements. Two vectors are infact orthogonal (i.e perpendicular) if ...
probability9/29/2010
  Q: 1. Two manufacturing plants produce similar parts. Plant 1 produces 1000 parts, 100 of which are ...
  A: 1) The easiest way to go about it would be to consider that there are 100 such parts (that are ...
system of equations9/28/2010
  Q: I'm trying to solve for x and y. Here is my equation: ax+by=c mx-ny=d
  A: ax + by = c mx - ny = d multiplying the first equation by n and the second by b, we have anx + bny = ...
Linear Algebra: Skew-symmetric and Symmetric Matrices9/26/2010
  Q: Mr. Salami, The question I have is: A skew-symmetric matrix A has the property that A^t=-A. ...
  A: Let the 2x2 matrix be [a b] [c d] Its transpose is the matrix [a c] [b d] Now, for the transpose to ...
natural sciences mathematics9/20/2010
  Q: The recommended daily dosage of the drug Algebracium is 3.50 mg per kilogram of body weight of the ...
  A: 1 pound = 0.45359 kg 185 pounds = 83.915 kg The patient then needs 3.50 mg per kg of body weight ...
regression equations9/20/2010
  Q: compute the two regression equations on the basis of the following data mean of X and Y is 40 and ...
  A: The line of best fit relating X and Y has the equation Y = a + bX where a = y' - bx' (x' and y' ...
Maths - Logatithum9/19/2010
  Q: If x=log(12)6,y=log(18)12,z=1og(24)18 Prove That 1+xyz = 2yz Terms in the bracket are bases of log ...
  A: x = log(12) 6 implies 12^x = 6 taking natural logarithms of both sides ln 12^x = ln 6 x(ln 12) = ln ...
Graph9/18/2010
  Q: Sketch the graph of y=|x|,and hence or otherwise show that for all real numbers such that a>0, |x|<a ...
  A: You can see from the attached image that for any line y = a (blue line), the value of |x| lies under ...
Advanced - Linear algebra - Induction9/17/2010
  Q: This is a hard question, and it needs to be completed using the principle of mathematical induction, ...
  A: The idea of the principle of mathematical induction is to prove that; i) The expression is true for ...
trig9/10/2010
  Q: I have 3 questions. x is theta i couldn't find it on the keyboard A: 2sin^2(x)=3cos^2(x) B: ...
  A: A) 2sin²x = 3cos²x but cos²x + sin²x = 1, so 2sin²x = 3(1 - sin²x) 2sin²x = 3 - 3sin²x 5sin²x = 3 ...
graphing and finding domain and range9/6/2010
  Q: how do you graph y= ^4(square root)(-x) and y= 1/(x-2) ? this is my first time here, and i tried ...
  A: Its clear that the first graph only has real values for all negative values of x and y can have all ...
Algebra & Arithmetic9/3/2010
  Q: I'm taking a pre-test, and I'm stuck on a question. Hopefully, you can help me. Here goes: Supply ...
  A: Actually, option A is the only equivalent choice since 3.75% = 3.75/100 = 0.0375 = 3/80 Doesnt seem ...
Future Value9/1/2010
  Q: How can (P + rP)^5 equal the future value amount on $100.00 at a rate of 5% for five years without ...
  A: Yes, you're correct. Its always good to understand the basics. But remember though that the formula ...
the value of a9/1/2010
  Q: A=(a+b)h divided by 2 if a=300, h=5, and b=30 ANSWER: Hi Oscar, A = (a + b)h/2 When a = 300, h = 5 ...
  A: If we need to find the value of a, then we need to rearrange the equation. A = (a + b)h/2 2A = (a + ...
Future Value8/31/2010
  Q: How can (P + rP)^5 equal the future value amount on $100.00 at a rate of 5% for five years without ...
  A: The future value A of an amount P at an annual rate r for n years is given by A = P(1 + r)^n and it ...
Math8/26/2010
  Q: I need a formula to a hunting problem. Say a 100000 gram tiger is headed toward me at 8.94 meters ...
  A: Consider the effect of a single bullet. Let the tiger have a mass M and an initial velocity V, and a ...
limits8/23/2010
  Q: let D = R^2 \ {0,0} and let f: D -> R be given by f (x,y) = (1-exp(x^2-y^2))/(x^2 + y^2) show that ...
  A: For the limit to exist, it has to exist regardless of the direction from which we approach the ...
Modulus Function8/22/2010
  Q: Find THe solution set of the equation |2x+3|-|x-1|= 6
  A: 2x + 3 changes sign at 2x + 3 = 0 i.e x = -3/2 x - 1 changes sign at x - 1 = 0 i.e x = 1 These two ...
complete the sqaure8/22/2010
  Q: can u please help me complete the square for this...i keep getting stuck. x^2 - 2x - 4y^2 - 16y - ...
  A: x² - 2x - 4y² - 16y - 15 = (x² - 2x) - (4y² + 16y) - 15 ...
Help in work rate problem8/18/2010
  Q: John and Ali together took 5 days to paint their house. If John and Ali worked together for 2 days, ...
  A: Lets represent the total amount of work to be done painting the house as Z. And if they can complete ...
Maths -Number8/13/2010
  Q: If a number is divided by 46 the remainder is 7 and if the same number is divided by 45 the ...
  A: Well, if we consider the line 46y = 45x + 1 y = (45/46)x + (1/46) It has a slope of 45/46 and what ...
Geometry help8/12/2010
  Q: I hope you can help me answer thisI need to prove : If an isosceles triangle has an altitude from ...
  A: a) Considering the description of the isosceles triangle, the angles ABC and BAC are equal. The ...
Maths -Number8/11/2010
  Q: If a number is divided by 46 the remainder is 7 and if the same number is divided by 45 the ...
  A: Let the number be Z. If y is the divisor when divided by 46, then Z = 46y + 7 If x is the divisor ...
Maths-Functions8/10/2010
  Q: find domain and range of function f(x)=1/(x+|x|)
  A: The function f(x) = 1/(x+|x|) is undefined when x + |x| = 0 i.e when x ≤ 0 The domain is ...
probability question8/9/2010
  Q: I have a probability question.The question is two people meet.Both have bank cards with 4 pin ...
  A: Nice to hear. But from a probability standpoint its not so surprising, even as unlikely as it seems. ...
probability question8/9/2010
  Q: I have a probability question.The question is two people meet.Both have bank cards with 4 pin ...
  A: Let the last 4 digits of the first person's phone number be ABCD and that of the second person be ...
numerical8/3/2010
  Q: in the names below each letter has been given a numerical value the total value of each name is ...
  A: From K + I + M = 6 and M + I + K + E = 12 we can see that E = 12 - 6 = 6 From M + A + R + Y = 18 ...
Calculus8/3/2010
  Q: Intersection of curves a. Does cos 3x ever equal x? Give reasons for your answers. b. Use Newton's ...
  A: a) Yes, cos3x equals x because they both have the same value at certain points. These can be seen as ...
I don't understand,7/28/2010
  Q: I don't understand how to do these sigmas? or whatever they're called? I attached an image with the ...
  A: Its ok, you'll get better. At n = 1, 4^(n+2) = 4^(1+2) = 4^3 = (4)(4)(4) = 64 At n = 2, 4^(n+2) = ...
covert complex # to polar form7/28/2010
  Q: Convert the given complex number in rectangular form to polar form -√3+i Thank you for your ...
  A: The complex number z = x + iy is written in polar form as z = re^(iθ) where r = √(x² + ...
Trig7/27/2010
  Q: Suppose theta is an angle in the third quadrant with tan(theta) = 11/7. Find the exact value of the ...
  A: An angle θ in the third quadrant has a negative sine and cosine. Consider a right triangle ...
I don't understand,7/27/2010
  Q: I don't understand how to do these sigmas? or whatever they're called? I attached an image with the ...
  A: You simply need to evaluate the expression for every number in the range and sum them up. For ...
math percentiles and NCE scores7/17/2010
  Q: How do you calculate a normal curve equivalent score when all you have is a percentile score? For ...
  A: A percentile is the value of a variable below which a certain percent of observations fall. For ...
Difference between solve and factor7/14/2010
  Q: When asked to solve b^4+2b^2-24=0 - do you factor? There are also questions that say Factory the ...
  A: Factoring a polynomial is simply writing it as a product of smaller expressions. When you equate a ...
The odds in #'s7/5/2010
  Q: Would anyone's chances of winning the lottery be higher or lower if they played the same numbers ...
  A: It wont really matter if you play the same numbers each time or picked randomly, the chance is ...
precalc6/21/2010
  Q: find the exact value of sin-1 (-sqrt3/2) and cos 5pi/4
  A: a) First, we know that sin(π/3) = √3/2 but, sin(π - π/3) = sin(π/3) = ...
Simplification6/19/2010
  Q: Simplify:0.2(3m+1=625. and 0.5(m+1)=4
  A: a) 0.2(3m + 1) = 625 (0.2)(3m) + (0.2)(1) = 625 0.6m + 0.2 = 625 0.6m = 625 - 0.2 0.6m = 624.8 m = ...
Need Geometry Help Urgently!6/10/2010
  Q: and good evening. My name is Charles, and I am an 8th grade student taking Honors Geometry. I need ...
  A: Consider the the triangles; ABC, BCD and ABD using the Pythagoras' Theorem. For ABC, x² + 4² = (AB)² ...
Perimeter of Rectangle6/9/2010
  Q: width of a rectangle: 2x - 5 ft. length of a rectangle: 3x + 9ft. Write a polynomial P(x) that ...
  A: The perimeter P of a rectangle with length l and width w is the distance around it i.e P = 2l + 2w ...
probability6/7/2010
  Q: a) flip a coin three time then write the sample space.
  A: Let's designate heads and tails as H and T respectively. The sample space is then; HHT, HTH, HTT, ...
Probability5/28/2010
  Q: I was asked recently to calculate the number of times I would have to roll a fair die to guarantee a ...
  A: Suppose you wanted to solve the equation; 1 - (5/6)^n = 50% = 0.5 then (5/6)^n = 0.5 we take ...
something about the lograte5/21/2010
  Q: I am studying CIMA, which is a management and accountancy course in UK. After long time, I have ...
  A: If log x = y, then x = 10^y (10 to the power y) Now we have taken log x to mean logarithm of x to ...
maths5/18/2010
  Q: If you have 10 cubes ranging in size from 1cm through to 10cm cubed, is it possible to fit them in a ...
  A: The sum of the cubes of the first n integers i.e 1³ + 2³ + 3³ + .... + n³ = [n(n+1)/2]² For n = 10, ...
To find an area in a graph with two conditions5/8/2010
  Q: Having these two conditions xy=1 |x|<=|y| How can be geometrically displayed the area or group of ...
  A: I should ask this, is there still anything you dispute about the solution given? Assuming there is, ...
To find an area in a graph with two conditions5/7/2010
  Q: Having these two conditions xy=1 |x|<=|y| How can be geometrically displayed the area or group of ...
  A: Like i pointed out before, xy = 1 is not an inequality but an equation and so cannot represent a ...
how to solve this equation5/6/2010
  Q: The Equation is T = L * exp(-2*L) The value of T is 0.0098 for L= 0.01 Then the book says that ...
  A: These type of equations are mostly solved by the numerical methods using multiple iterations and so ...
To find an area in a graph with two conditions5/5/2010
  Q: Having these two conditions xy=1 |x|<=|y| How can be geometrically displayed the area or group of ...
  A: First you draw the graphs of y = 1/x and y = x. They intersect at the points (1,1) and (-1,-1). I've ...
help :)5/4/2010
  Q: i need help with this question. its really confusing me. Three of the six sides of a fair die are ...
  A: This question involves, and i hope you're familiar with, conditional probability using binomial ...
Trig.5/3/2010
  Q: Determine all solutions of the equations in radians. Find tan x/2, given that tan x = 3 and x ...
  A: First up, the interval π < x < π/2 is invalid since π/2 < π But from the ...
help :)5/2/2010
  Q: i need help with this question. its really confusing me. Three of the six sides of a fair die are ...
  A: Same colour in three throws is GGG or RRR or YYY. P(G) = 3/6 = 1/2 P(R) = 2/6 = 1/3 P(Y) = 1/6 P(3 ...
Stats4/29/2010
  Q: Does .015 have more or less statistical significance than .05?
  A: Well, it would depend exactly on the concept of the situation. Statistical significance implies that ...
Algebra4/27/2010
  Q: Solve the following for x A. 2^x^2*32^x=4^-2 B. 3^x-1=27
  A: a) 2^(x^2) * 32^x = 4^(-2) 2^(x^2) * (2^5)^x = (2^2)^(-2) 2^(x^2) * 2^5x = 2^(-4) 2^(x^2 + 5x) = ...
Algebra4/27/2010
  Q: Use properties of Logarithms to expand the following into separate natural logarithms of x, y, z, ...
  A: We'll make use of the three logarithm properties; logA + logB = log(AB) logA - logB = log(A/B) nlogA ...
Trigonometry & Analytical Geometry4/25/2010
  Q: I need help putting problems into Standard Form of a Hyperbola. 1. 9x^2 - 16y^2 - 36x - 64y + 116 = ...
  A: 9x^2 - 16y^2 - 36x - 64y + 116 = 0 9x^2 - 16y^2 - 36x - 64y = -116 9x^2 - 36x - 16y^2 - 64y = -116 ...
probability4/23/2010
  Q: IF you have a 25% chance of making $100, what are the chances you will make 25$?
  A: It would depend on the specifics of the situation. For instance, if you had a 25% chance of winning ...
Algebra4/22/2010
  Q: A cell-phone company offers a plan of $25 per month and $0.10 per minute of talk. The cost of c ...
  A: a) c = 25 + 0.1n c - 25 = 0.1n c - 25 = n/10 n = 10(c - 25) n = 10c - 250 b) You can create your ...
Age Problems4/20/2010
  Q: The sum of the ages of Mary and Harry is 40 years. In 7 years, Mary will be twice as old as Harry. ...
  A: Let Mary's age be x and Harry's be y. At present, x + y = 40 x = 40 - y In 7 years, their ages are ...
partial fractions4/15/2010
  Q: Having trouble factoring a repeated quadratic factor. 2x^2 + 7x + 4 / (x + 1)^3 As a partial ...
  A: I'm guessing you split your fraction incorrectly in the first place. A denominator of the form (x + ...
Algebra4/15/2010
  Q: write the equation of the circle in standard form 4x^2 + 4y^2 + 3x - 5y - 8 = 0
  A: 4x² + 4y² + 3x - 5y - 8 = 0 dividing through by 4 x² + y² + 3x/4 - 5y/4 - 2 = 0 x² + 3x/4 + y² - ...
Trig4/14/2010
  Q: I have tried these problems and can't seem to factor them out. Solve the following equations given ...
  A: a) Firstly, by identity tan²(2x) = sec²(2x) - 1 So, 2tan²(2x) = 3sec(2x) becomes 2[sec²(2x) - 1] = ...
Discrete Structures4/7/2010
  Q: A soccer team carries 18 players on the roster; 11 players make a team. In how many ways can the ...
  A: The number of ways of selecting 11 players from 18 is given by 18C11 read '18 combination 11' and ...
quadratic functions3/30/2010
  Q: Determine whether this function has a maximum or minimum value. Then find the maximum or minimum ...
  A: Basically, a function has a local minimum or maximum when the second derivative is positive or ...
Slopes and Right Triangles3/23/2010
  Q: Why is a right triangle associated with slopes?
  A: From the definition of the slope of a line, we need to find the ratio of the vertical and horizontal ...
Simple Trig Identity Proving3/15/2010
  Q: Prove cos^2x+cot^2xcos^2x=cot^2x. I solved till cos^2x+(cos^2x)/(tan^2x)=cot^2x is ...
  A: From the identity: sin²x + cos²x = 1 dividing through by sin²x, we have sin²x/sin²x + cos²x/sin²x = ...
Calculus II2/28/2010
  Q: I'm copying this from Yahoo!, so please excuse my colloquial descriptions; they were directed ...
  A: Very nice of you to show me the work that's already done, makes everything easier. Now, you havent ...
limit2/25/2010
  Q: Lim (4x-3)/(2x+7) (Where x tend to INFINITY) Solution: Lim ( (4x/2x)-(3/2x))/((2x/2x)+(7/2x) ...
  A: Its a good trick to divide numerator and denominator by the highest occuring power of the variable, ...
trigonometry2/23/2010
  Q: Could you explain why sin(pi+x) simplified is equal to -sinx, please?
  A: The easiest explanation would be to consider the two-angle formula sin(A + B) = sinA.cosB + ...
Quadratic Equations2/19/2010
  Q: The base of a triangle is four more than twice its height. If the area of the triangle is 43 square ...
  A: The area of a triangle with base b and height h is A = bh/2 If base is four more than twice the ...
Solve for theta:2/15/2010
  Q: Can you please help in solving 2 cos^2 (theta) + cos (theta) + 1 = 0; -360degrees </= theta </= ...
  A: 2cos²θ + cosθ + 1 = 0 is a quadratic equation in cosθ which is easily solved by ...
College Algebra2/14/2010
  Q: 1. A trianhas one vertex on the graph of y= x^6 , x is greater than 0 at (x,y), another at the ...
  A: 1. The area of a triangle is (1/2).(base).(height) Let the base be the distance on the y-axis with ...
Cars2/13/2010
  Q: Sir, i need help on this problem. I have no idea what they are asking and this is all of it on the ...
  A: Taking the intersection as reference, the distance between the two cars at any time is the ...
Find the exact values of the expression2/10/2010
  Q: Cosa=1/2, -pi/2 less than 9 less than 0 a. sin(a+b) b. cos(a+b) c. tan(a+b)
  A: In the interval -π/2 < A < 0 cosA is positive and both sinA and tanA are negative. Also, sinA = ...
modulas function2/3/2010
  Q: sir can i know the solution of inequality ||x|-1|<|1-x|
  A: We can see that the left and right hand sides are equal when x = 0 ||x|-1| = ||0|-1| = |0-1| ...
Mills & Property Tax Rates2/2/2010
  Q: How do 34.5 mills become $0.0345, and how do the mills convert into dollars? I thank you for your ...
  A: 1 mill is equivalent to 1/1000 of a dollar. The answer is obviously in dollars because you're ...
algebra 21/9/2010
  Q: This is a word problem for inverse and joint variation a sprocket gear 8 in. in diameter is ...
  A: For the gear system, the product of the rotational frequency and the circumference is always ...
X intercept1/7/2010
  Q: I'm having trouble trying to find the x intercept for this problem (-7,-1),(5,2)
  A: First, you need to find the equation of the line (assuming you mean to find the x-intercept of the ...
help me with a problem please :)1/5/2010
  Q: 9y^2-25x^2-400x-1825=0 i need to identify what conic section it is then solve all the problems to ...
  A: The general form of any conic section is Ax² + Bxy + Cy² + Dx + Ey + F = 0 In most cases, B = 0 ...
Math logic12/14/2009
  Q: What percent of the time is the following statement True? (A ∧ ~ B ) ∨ ~ C
  A: We make a table for all the possible combinations of A, B and C and see the ones that make the ...
continuity12/9/2009
  Q: is sqrt(|x|) continuous at x=0? what I think f(0)=sqrt|0|=0 g(x)=|x| h(x)=sqrt(x) f(x)=h(g(x)) = ...
  A: Of course its the same. lim x→0- √-x = 0 lim x→0+ √x = 0 Am i missing ...
continuity12/6/2009
  Q: is sqrt(|x|) continuous at x=0? what I think f(0)=sqrt|0|=0 g(x)=|x| h(x)=sqrt(x) f(x)=h(g(x)) = ...
  A: Why did you conclude that f(x) isnt continuous when x = 0? Clearly, √(0) = √(-0) = 0 and ...
precalculus12/5/2009
  Q: what is the inverse function of y= -1/3sin(2x) and y=2cos(x/3) and verify that it is the inverse ...
  A: y = -1/3sin(2x) -3y = sin(2x) 2x = arcsin(-3y) x = (1/2)arcsin(-3y) The inverse function is ...
Pre-Calc11/25/2009
  Q: How does cos(x-(3.14/2))=cos((3.14/2)-x)?
  A: Well, as it happens, and this is a property of the cosine function cos(-A) = cos(A) But note that ...
limit11/25/2009
  Q: Please help me to use the L’Hôpital’s rule to show that lim(x→∞)x^n/e^x=0?
  A: By L’Hôpital’s rule, lim(x→∞)[x^n/e^x] = lim(x→∞) n.[x^(n-1)/e^x] ...
Trigonometry11/24/2009
  Q: 1. Solve the equation in the interval -720degree < theta < 0degree. 2. If sin(x+30degree)=1/2sinx, ...
  A: 1) What equation??? 2) sin(x + 30) = sinx.cos30 + sin30.cosx = (√3/2)sinx + ...
math11/23/2009
  Q: angle of elevation to the top of the pylon to be 3o deg.he then moves 60m near to the pylon and ...
  A: If the two equations h = 0.9004x and h = 0.5774(x + 60) are correct like you wrote, then 0.9004x = ...
Quadraitc Functions Questions11/19/2009
  Q: I was wondering is it possible for a quadratic equation to have one real root and one imagery root! ...
  A: No, its not possible. A quadratic equation has either two real or two imaginary roots. The two real ...
algebra 211/16/2009
  Q: Given: root 3 and 5-2i are roots of the equation x^5-9x^4+16x^3+56x^2-117x-87=0. Find the other 3 ...
  A: You havent done anything wrong (except maybe making a mistake in the presentation of the ...
Simultaneous equations11/15/2009
  Q: Ahmed At the tender age of 48 I have decided to do a foundation degree in engineering and have ...
  A: 1) Let the number of 50p coins be x and those of 20p coins be y 50p in x places + 20p in y places = ...
Precalculus11/13/2009
  Q: I need help solving this 6 part math problem. The problem is stated as the following: Find the exact ...
  A: In quadrant II, sin u and sin v are positive but all of cos u, cos v, tan u and tan v are negative. ...
Utilization11/12/2009
  Q: Dont know if this is the right forum for this. I have a perplexing problem for which I believe only ...
  A: 1) Yes, your calculation is correct. 2) Well, there is definitely a flaw in the assumption that ...
calculus11/10/2009
  Q: solve for x. log6(x+2) + log6(x-1)=3 how do you do i solve for x?
  A: I'm taking the 6 to be the base of logarithm here. logA + logB = logAB So, log6 (x+2) + log6 (x-1) = ...
Pre-Calculus11/8/2009
  Q: I need help with this project, please: Given that tan theta = 2/3 for an angle Theta in Quadrant ...
  A: If θ is in the third quadrant, tanθ is positive and both sinθ and cosθ are ...
Algebra II.....please help me its urgent!!!11/7/2009
  Q: 21. Find values of a and k for a parabola containing the points given: y - k = a(x + 3)^2; (-5,1) ...
  A: 21) y - k = a(x + 3)² At (-5,1) 1 - k = a(-5 + 3)² = a(-2)² = 4a k = 1 - 4a At (1,7) 7 - ...
solve for x11/4/2009
  Q: 27^x^2 > 9^x^3
  A: 27^x² > 9^x³ (3^3)^x² > (3^2)^x³ 3^(3x²) > 3^(2x³) Now, 3x² > 2x³ 3x² - 2x³ > 0 x²(3x - 2) > 0 ...
Trig11/1/2009
  Q: I need help with this problem, please: Find the center, vertices, and foci of the ellipse whose ...
  A: Re-arranging the equation by completing the square in y, 9x² + y² + 10y + 16 = 0 9x² + (y² + 10y + ...
exponential equation to linear equation11/1/2009
  Q: Data below is of radioactive decay of a material x Time t min y Count rate N cps ( counts per second ...
  A: To get the half-life you simply use the equation N = No.e^(-αt) If T is the half-life, then t = ...
Prove Identies (Trig)10/31/2009
  Q: I've trying to prove these identities (I'm stuck). See attachment "d" & "e"
  A: d)First, you need to remember the basic identities sin²x + cos²x = 1 sin(x+y) = sinx.cosy + ...
exponential equation to linear equation10/31/2009
  Q: Data below is of radioactive decay of a material x Time t min y Count rate N cps ( counts per second ...
  A: Well, the new table of values is just one that contains values of lnN and Time t(just as before). In ...
Trig10/27/2009
  Q: I need help with this problem, please! For each of the triangles ABC, information is provided. ...
  A: a)This triangle has two sides and an angle given. So i take it to be SAS, if i understand your ...
Trigonometry10/24/2009
  Q: I need help with this problem, please: Solve the equation: sin x - 2 sin x cos^2 x = 0, finding all ...
  A: sinx - 2sinx.cos²x = 0 sinx(1 - 2cos²x) = 0 So, either sinx = 0 or 1 - 2cos²x = 0 For sinx = 0 x = ...
Pre-cal10/14/2009
  Q: I have a problem here and its asking to write the following trigonometric expression in terms of ...
  A: Lets start with the identity cos²x + sin²x = 1 which i believe you should no doubt know if you're ...
circle formulae10/12/2009
  Q: Hey, I'm in first year calculus in university and it seems my prof expects us to know the xy formula ...
  A: The general equation of a circle with center (a,b) and radius r is (x-a)² + (y-b)² = r² For the ...
Advanced Algebra10/11/2009
  Q: 18xsquared+19=39x
  A: For ax² + bx + c = 0 x = [-b ± √(b² - 4ac)] / 2a So 18x² - 39x + 19 = 0 x = [39 ± ...
Vectors10/10/2009
  Q: I'm a guy from India and have passed out high school this year but currently I have taken a year off ...
  A: Yes, a coplanar vector to b and c is the vector r = b + xc Now, lets go by your suggestion, which ...
Trigonometry10/5/2009
  Q: Explain why the period of y = tan(theta) and y = cot(theta) functions is only 180 degrees instead of ...
  A: It's all a property of the function itself. If T is the period of the function tanx, then tanx = ...
Algebra10/4/2009
  Q: Max lives on a river, 30 miles from town. Max travels downstream (with the current) at 20mph. ...
  A: Its quite straightforward. 30 miles to town at 20mph means a time of 30/20 = 1.5 hours 30 miles back ...
modulus function10/1/2009
  Q: what is |2x+1|-|x-3|=10
  A: |2x+1| - |x-3| = 10 The easy way to do this is to consider the points where the arguments (in the ...
Math9/30/2009
  Q: how do I arrive to the answer for this question 3x+7y+2x+4y+7x+3y
  A: You havent exactly stated what you're trying to find. But if you want to simplify the expression, ...
Trigo9/26/2009
  Q: Prove that secA(1-sinA)(secA+tanA) = 1
  A: First, you need remember the identities; secA = 1/cosA tanA = sinA/cosA or sinA.secA sec²A = 1 + ...
Fractional indices :O9/24/2009
  Q: can you help me do.. (x to the power of 1/2 +2)(x to the power of negative 1/2 - 3) ?
  A: I hope you meant [x^(1/2 + 2)].[x^(-1/2 - 3)] First, 1/2 + 2 = 1/2 + 4/2 = (1+4)/2 = 5/2 and -1/2 - ...
Math9/24/2009
  Q: Show that: tan(tan^-1 1/3 + tan^-1 1/7)= 1/2
  A: From the double-angle formula for tangent, tan(A+B) = (tanA + tanB)/(1 - tanA.tanB) Now, let A = ...
trig9/14/2009
  Q: On a graph of y = cos(Ax) + B, points P and Q are consecutive lowest and highest points. Find the ...
  A: The graph of y = cos(Ax) + B is simply the graph of y = cos(Ax) moved up B units and has a period of ...
math9/10/2009
  Q: prove that (sinA.sin2A+sin3A.sinA6A)/(sinA.cos2A+sin3A.cos6A)=5tanA ...
  A: I think it was meant to be (2.sinA.sin2A + 2.sin3A.sin6A)/(2.sinA.cos2A + 2.sin3A.cos6A) i.e ...
math9/7/2009
  Q: a six digit number which the first digit is one more than the third, the second digit is one less ...
  A: Are you trying to find one of such numbers? If so, then let a,b,c,d,e,f be the digits of the number ...
math9/6/2009
  Q: sin(2A)=2sinA cosA =(2sinA cos^2A)/cosA =2tanA/sec^2A =2tanA/1+tan^2A please explain it ...
  A: In algebra when you're multiplying and dividing a series of expressions it doesnt really matter what ...
pre-calculus9/6/2009
  Q: How would i complete the square to find the center and the radius of the circle: ...
  A: A circle with center (a,b) and radius r has the equation (x-a)² + (y-b)² = r² For the circle 3x² + ...
math9/5/2009
  Q: sin(2A)=2sinA cosA =(2sinA cos^2A)/cosA =2tanA/sec^2A =2tanA/1+tan^2A please explain it
  A: First, you need to know the identities sinA/cosA = tanA sin(A+B) = sinA.cosB + sinB.cosA 1/cosA = ...
Revenue Functions9/3/2009
  Q: I have no ideaa how to do this so ill show u everything!! 6. You decide to sell the sandwiches for ...
  A: You've provided scarce information but i'll do what i can. 7. Yes, the revenue function would be R = ...
law of sines9/2/2009
  Q: having trouble understanding the steps to solve each triangle. here is a couple of my problems if ...
  A: You need to always remember that the sum of the angles in a triangle equals 180 degrees. 1) B = 42°, ...
trigonometry8/26/2009
  Q: how do I proceed? tan(-6pi) + cos(9pi/4)
  A: First, some useful things to remember sin(-x) = -sinx cos(-x) = cosx tan(-x) = -tanx and in ...
motion8/26/2009
  Q: the runner continue to run 6m/s until the end of the race. after crossing the finish line the runner ...
  A: Here, we use the equation of motion v = u + at where v is the final velocity u is the initial ...
moments mechanics 2 for A28/23/2009
  Q: when you take moments how do you know if it's clockwise or anticlosewise moment. How can determine ...
  A: The moment is clockwise if the force is directed downwards and the pivot (the point about which ...
trig8/13/2009
  Q: Express the length d of a squares diagonal as a funtion of its side length
  A: The triangle containing the diagonal of a square and two of its sides is a right-angle triangle, ...
trigonometry8/7/2009
  Q: how to prove that 2tanA+cotA=cscAsecA
  A: 2tanA + cotA = 2tanA + 1/tanA = (2tan²A + 1)/tanA = (tan²A + tan²A + ...
maths8/2/2009
  Q: can you please help me find a closed form for the sequence given by the recurrence syatem, giving ...
  A: Lets consider the general form A(n+1) = a.A(n) + b with A(0) = p Now, A(1) = a.A(0) + b = ap + ...
modulus7/23/2009
  Q: I got this information from an A level book. It says that " we can square both sides for |2x-3|<x+1 ...
  A: First, you have to remember that |2x-3| is a positive quantity. In the first case it is less than ...
Proving Identities7/2/2009
  Q: prove following identity: (1+tanx)/(1+cotx)=(secx)/(cscx)
  A: First remember that; cotx = 1/tanx secx = 1/cosx cscx = 1/sinx and tanx = sinx/cosx Now, 1 + cotx = ...
Volume calculations6/26/2009
  Q: Salami I want to make a mixing drum with a volumetric capacity of 9 cu.ft. I found that the formula ...
  A: You need to realise that the conversion for a cylinder is done exactly as you would for a cube. ...
area of a curve6/3/2009
  Q: the region R is a quadrant, is bounded by y=x^2, the y axis, and the line y=2. where R is rotated ...
  A: The volume of solid formed when the area bounded by the curve y = f(x) is rotated about the y axis ...
Calculus Problem6/3/2009
  Q: I was just wondering if you could help me find the solution to this problem: For each x in the ...
  A: Ok, so let's see if i can help. (0,0) is the origin and the point (x,0) lies on the x axis at a ...
percentage5/27/2009
  Q: On a purchase of $120, a store offered a payment plan consisting of a $20 down payment and 12 ...
  A: The total amount paid = 20 + 12x10 = 20 + 120 = $140 ...
math5/17/2009
  Q: How do you write the positive square root of a number as a length of a side of a square with a given ...
  A: A square with sides of length l has an area A where A = l² Taking square roots of both sides ...
math5/16/2009
  Q: Find the lowest common multiple of 2x^4-2x^2y^2,4x^5+8x^4y+4x^3y^2,and 6x^2+6xy
  A: We factorize all the expressions, 2x^4 - 2x^2y^2 = 2x^2(x^2 - y^2) = 2x^2.(x-y).(x+y) ...
math5/13/2009
  Q: Remove the grouping symbols and simplify the following expression: x-{2y-[3z+(5x-3y)+z]}
  A: x - {2y - [3z + (5x-3y)+ z]} = x - {2y - [3z + 5x - 3y + z]} = x - {2y ...
units and measurements-please check my answers?5/13/2009
  Q: The following data resulted from measurements on a rectangle: width = 28 ± 0.5 cm, breadth = 33 ± ...
  A: The area, A = wb The relative error of A, ΔA is gotten using average errors from ΔA/A = ...
arithmetic-word problem5/6/2009
  Q: The water from one outlet, flowing at a constant rate, can fill a swimming pool in 9 hrs.The water ...
  A: In one hour, first outlet fills 1/9 of the pool and second outlet fills 1/5 of the pool. This means ...
Precalculus4/30/2009
  Q: sin^-1(square root of 5 over 3)
  A: You havent actually stated what you want but if you want the value of the arcsin of a number you'd ...
transpose and calculation4/30/2009
  Q: the volume v of a conical solid, radius r th subject of the formula. V=1/3 pie r squared h, ...
  A: The formula V = (1/3)#r^2.h (where # represents pi) gives the value of the volume given the values ...
having problems4/28/2009
  Q: Salami, can you please take a look at the attach file. I not quite sure how to get to my answer.I ...
  A: Considering the left triangle we see that the two perpendicular sides have lengths 4mm (because they ...
probability question4/27/2009
  Q: Bucket A contains three different colored balls: one red, one blue, and one white. Bucket B ...
  A: The probability of picking a red ball in the first bucket, assuming identical balls P(red.first ...
modulus4/26/2009
  Q: solve: |x+2|>2x
  A: |x+2| > 2x First, you have to realise that |x+2| is always positive i.e it is positive for every ...
problem with averages question4/24/2009
  Q: I have a problem with a maths homework question. If you know the average duration (in days) a large ...
  A: Sorry for the delay. The formula would be incorrect like you suggested. To get the average daily ...
pre-cal vectors4/24/2009
  Q: An SUV weighing 4600 pounds is parked on a street which has an incline of 20 degrees. Find the ...
  A: The magnitude of the forces required to keep the SUV from rolling down the hill and that ...
ma4/21/2009
  Q: Hey Mr. Salami I need help with this maximum and minimum word problem. I appreciate your time. A ...
  A: Starting from the present day, we find the revenue function. Suppose he waits for x days, the honey ...
Algebra problem4/21/2009
  Q: Over what interval of x is the function, y=0.3x^4-2x^2+0.5-4 increasing? Write in interval notation. ...
  A: The 0's in your equation are confusing. Could you restate clearly and send again? Anyway, a function ...
how many4/18/2009
  Q: 3. Let X = {1, 2, 3, ..., 1000}. Find the number of 3-element subsets {a, b, c} of X such that the ...
  A: The total number of 3-element subsets is 1000C3 (read '1000 combination 3') i.e the number of ways ...
Trigonometry Identities4/17/2009
  Q: Hey I have some questions to find the exact values, I'm not sure about the steps involved. Could you ...
  A: You have to make use of the double angle formulas here. sin(A + B) = sinA.cosB + sinB.cosA sin(A - ...
discrete mathematics4/17/2009
  Q: Can you help me figure this out? I need to prove or disprove the following? (A intersection B) - (A ...
  A: I'll rewrite both statements as (A n B) - (A n C) and A n (B-C) Now, to define set difference X - Y ...
Algebra4/10/2009
  Q: On the response given in the problem of Bob Rodriquez who is trying to get to NY and trying to ...
  A: For a 156-mile trip, moving at 80 miles/hr results in spending 156/80 hrs = 39/20 hrs we've divided ...
trigonometry proving4/7/2009
  Q: sin^4(a)+cos^4(a)=1-2sin^2(a)cos^2(a)
  A: sin^2(a) + cos^2(a) = 1 (an identity) therefore, sqyaring both sides [sin^2(a) + cos^2(a)]^2 = 1 ...
oredered pair4/3/2009
  Q: if x^2 - 5x + 7 = 0, x^3 = ax + b, where a and b are integers. compute the ordered pair (a,b)?
  A: If x^2 - 5x + 7 = 0 x^2 = 5x - 7 multiplying through by x x^3 = 5x^2 - 7x x^3 = (5x)x + (-7x) ...
confusion3/29/2009
  Q: 1- If I do postgraduates in mathematics , will I expose to " matlab " software on my studies of ...
  A: I'm sorry i cant be of much help here. But i'll tell you this, getting any kind of degree in ...
MATHS3/25/2009
  Q: Hey, I'm trying to figure out the answer to thisIf the displacement of a particle P at time t is ...
  A: Did you mean s = 3t^3/2 - t^1/2 + 3t -12 ? If so, the velocity and acceleration functions are ...
critical turning points3/10/2009
  Q: find and clasify the critical turnung points of f(x)=cosx+sinx for 0 is less then x and less then ...
  A: The volume of the cone is the definite integral of #y^2 dx from x = 0 to x = 4, where # represents ...
critical turning points3/7/2009
  Q: find and clasify the critical turnung points of f(x)=cosx+sinx for 0 is less then x and less then ...
  A: The curves are y = x^2 and y = sqrtx They intercept where x^2 = sqrtx i.e x = 0 and x = 1 The area ...
critical turning points2/28/2009
  Q: find and clasify the critical turnung points of f(x)=cosx+sinx for 0 is less then x and less then ...
  A: Turning points occur when f'(x) = 0, to classify them we check the value of f''(x). f''(x) > 0 ...
Mathdmatical induction2/17/2009
  Q: Show by mathematical induction that 1/(n+1) + 1/(n+2) + ... + 1/2n > 1/2
  A: Let the series be T(n) = 1/(n+1) + 1/(n+2) + ... + 1/2n By mathematical induction, we have to show ...
angle of elevation2/16/2009
  Q: Two observers are 500 feet apart. Each measures the angle of elevation of a hot air balloon that ...
  A: I've provided no diagram here and so you would have to visualize the situation. Let the balloon be a ...
geometric series2/15/2009
  Q: Please help me.. A geometric series has third term 27 and sixth term 8. -Show that the common ratio ...
  A: The nth term of a geometric series is T(n) = ar^(n-1) where a is the first term and r is the common ...
Logarithms2/10/2009
  Q: A clear picture of the questions has been attatched. Please could you answer 11a and 11b and ...
  A: a)let log4 3 = k, then 4^k = 3 (2^2)^k = 3 2^(2k) = 3 taking square roots, 2^k = sqrt3 and so, log2 ...
how to work this out1/27/2009
  Q: root of 3 * sinx = cosx ...
  A: (cosx)^2 + (sinx)^2 = 1 cosx = sqrt[1 - (sinx)^2] So, sqrt3.sinx = cosx sqrt3.sinx = sqrt[1 - ...
Iteration1/23/2009
  Q: I'm dont know how to apply the formula & i'm lack of examples from my teacher & textbooks so i'm ...
  A: The iterative formula states, X(r+1) = 0.5[Xr + N/(Xr)^2] This means that for every of Xr ...
Coordinate geometry question1/22/2009
  Q: This is in regard to your reply at: ...
  A: As you would have seen, the length of the line segment is 190.39 and not 255 like you stated. Now, ...
Trig and Precalculus1/14/2009
  Q: Im having a severe getting this problem correct none of my answers match the answers given. Solve ...
  A: I'm guessing you meant to write 4x^2 - 8x - 48 = 0 and not 4x^2 - 8x^2 - 48 = 0 !!! Ok then, 4x^2 - ...
straight graph line12/15/2008
  Q: in the following y is the dependent variable & x is the independent. a&b are constants what type ...
  A: 1)y = ax Plot y against x 2)1/y = ax + b Plot 1/y against x 3)y = (ax + b)^-1 = 1/(ax + b) 1/y ...
basic algebra12/14/2008
  Q: A boat travels 10 mph in still water. It travels 24 miles upstream and the same distance downstream. ...
  A: When traveling upstream the effective speed is less because of the speed of the current. It is more ...
Mathmatical Riddle?12/10/2008
  Q: Asked the question with one other expert, and this was my answer:I have already answered this ...
  A: Not a very clear question the way you've put it. The statement "that original sum of 30 now becomes ...
Mathematical methods for science 112/10/2008
  Q: 1. Determine the volume of the solid of revolution obtained when the curve F(x) =x2+5 Is rotation ...
  A: The volume of the solid of revolution obtained when f(x) is rotated about the x axis between x = a ...
intermediate algebra12/9/2008
  Q: I am a 56 year woman re-entering college and I am having problems with these problems, please help ...
  A: 1)(y - 9)/(x - 1) = (-2 - 9)/(4 - 1) (y - 9)/(x - 1) = -11/3 3(y - 9) = -11(x - 1) 3y - 27 = ...
math question12/8/2008
  Q: The sequence of 7, 49, 343, 2401, .... continues indefinitely. 2. What is the nth term in the ...
  A: The sequence is an example of a geometric sequence (where every term except for the first is gotten ...
Trig.12/8/2008
  Q: I am currently in Grade 12, University Level Advanced Functions and need some assistance. I need to ...
  A: Firstly, remember these sin2x = 2.sinx.cosx cos2x = 2cos^2(x) - 1 Now, 2(cosx.sin2x - sinx.cos2x) / ...
physics12/5/2008
  Q: an object is moving in a circular path and covers a distance of 42250km in 24 hours. find its linear ...
  A: speed = distance/time = 42250km / 24 hours = 1760.42 km/hr OR 42250 x 1000m / 24 x 60 x ...
Math12/5/2008
  Q: Helen earns $7.50 per hour at her job, but if she works more than 35 hours in a week she is paid 1.5 ...
  A: Helen gets paid $7.50 per hour during regular hours and $7.50 x 1.5 = $11.25 per hour for overtime ...
math12/3/2008
  Q: I have this question having to do with Subsitution and Elimenation but I've tried it more than once ...
  A: Let x and y represent the prices of a calculator and three-hole punch at Scholar's Choice ...
Geometry11/30/2008
  Q: The measure of each interior angle of a regular polygon is 20 degrees more than three times the ...
  A: Each interior angle of a regular polygon with n sides is (180/n)(n-2) The exterior angle to it 360/n ...
velocity time graph11/27/2008
  Q: A hovercraft, which has a max speed of 80km per hour, makes ajourney across the English Channel, a ...
  A: If the velocity-time graph has the shape of an isosceles triangle, this shows that there is constant ...
Discrete Mathematics11/18/2008
  Q: Sets and Probability A marble is drawn from a box containing 3 yellow, 4 white, and 8 blue marbles. ...
  A: The probability of drawing a white marble p = 4/(3+4+8) = 4/15 The odds of drawing a white marble ...
Probability, Sampling11/4/2008
  Q: I pay my apologies for using short-cut language. I also thank you for replying so soon to my mail. I ...
  A: 1)Applying the general formula for a confidence interval, the confidence interval for a proportion ...
difficult math problem!11/3/2008
  Q: Find, with proof, the largest positive integer k with the following property: There exists a ...
  A: For starters, N is never divisible by N-1 except when N = 2 and that clearly doesnt satisfy us ...
In need of help10/30/2008
  Q: Mr Salami, Can you please look at the following problems and kindly provide me with the correct ...
  A: I dont know what you've done so i cant tell you what you did wrong but hopefully you'll see for ...
Math 12110/30/2008
  Q: find f(-x) when f(x) is 2x^2-x+3
  A: For f(x) = ax^n f'(x) = nax^(n-1) So, f(x) = 2x^2 - x + 3 f(x) = 2x^2 - 1x^1 + 3x^0 and f'(x) = ...
solving system of equations in 3 variables10/29/2008
  Q: so yea i'm trying to find 3 numbers that works in all 3 equations so yea here you go ...
  A: x + 2y = 12 3y - 4z = 25 x + 6y + z = 20 From the first equation, x = 12 - 2y From the second ...
maths statistics10/29/2008
  Q: Soup is sold in tins which are filled by a machine. The actual weight of soup delivered to a tin by ...
  A: Its okay, you can always ask your questions. The z statistic for any weight w is z = (w - m)/s where ...
Math10/28/2008
  Q: A drinking glass is in the shape of a cylinder that is 60mm in diameter and 15cm tall. How many ...
  A: The radius of the cylinder is r = 60mm/2 = 30mm = (30/10)cm = 3cm We do this so as to have ...
maths probability/statistics10/27/2008
  Q: The weight of a particular variety of orange is normally distributed with a mean of 155 grams and a ...
  A: The z statistic for any weight w is z = (w - m)/s where m is the mean and s is the standard ...
maths stats10/26/2008
  Q: A steel rolling mill has two machines, A and B, for cutting steel bars. For each machine the length ...
  A: The z statistic for any length x of bar is z = (x - m)/s where m is the mean and s is the standard ...
mathematic10/26/2008
  Q: A telescope manufacturer wants its telescopes to have standard deviation in resolution to be ...
  A: I'm sorry but i just noticed some numerical errors in the original solution and i've made ...
Math10/24/2008
  Q: Construct a truth table for ~ (p v q)
  A: The truth table for ~(p v q) i.e complement of (p or Q) p q (p v q) ~(p v q) 1 0 1 0 0 ...
math10/23/2008
  Q: Simon is covering a wall with equal size tiles that cannot be cut into smaller pieces. The wall is ...
  A: By simple reasoning. If the tiles have length l(inches) and are arranged in quantity x horizontally ...
Discrete Mathematics10/22/2008
  Q: Chapter 6- Systems of Linear Equations and Matrices Use the Gauss-Jordan method to solve the ...
  A: 2x + 3y + z = 9 4x + y - 3z = -7 6x + 2y - 4z = -8 The set of equations is written in matrix form ...
mathematics10/22/2008
  Q: A central university has a student population of 60,000. the university is interested in determining ...
  A: Applying the general formula for a confidence interval, the confidence interval for a proportion ...
statistics10/21/2008
  Q: in a large locality,60% of families have a car,50% have an air conditioner and 30% have both.find ...
  A: If 60% of families have a car,50% have an air conditioner and 30% have both i.e P(a&c) = 30% Then ...
Factoring binomials etc.10/21/2008
  Q: 8b^2 - 18c^2 Next question 4x^2 - 7x + 3 Another question x^2 + 8x +16 Thank-you and please help.
  A: 1)8b^2 - 18c^2 = 2(4b^2 - 9c^2) = 2{(2b)^2 - (3c)^2} using x^2 - y^2 = (x + y)(x - y) = 2(2b - ...
Probaility - College10/20/2008
  Q: 74% of Martians own spaceship. 62% of the space ship owners are male and 45% of the Martians that ...
  A: If 74% of Martians own spaceships and 62% of them are male, then the percentage of Martians that are ...
Discrete Mathematics10/19/2008
  Q: Chapter 6- Systems of Linear Equations and Matrices Write the augmented matrix of the system and ...
  A: The set of equations 3x - 2y - 8z = 1 9x - 6y -24z = -2 x - y + z = 1 is unfortunately ...
Arithmetic Series10/12/2008
  Q: I am stuck with the following questions. I think you need to use simultaneous equations but I'm not ...
  A: Yes, you need to use simultaneous equation. Lets find out why and how! 1). For an arithmetic series ...
Math Prob4/27/2007
  Q: Let A={x:2<=x<=7} and B={x:|x-4|<=h},h is an element of R.Find the LARGEST value of h for which B ...
  A: For |x-4| <= h Then either x-4 <= h or -(x-4) <= h The latter resulting in x-4 >= -h Combining the ...
gradient and y- intercept4/26/2007
  Q: i wanted to see your answer for this please,and how you may re-arrange the equation to get y=mx+c, ...
  A: The general form of the equation of a straight line is y = mx c where m is the gradient and c is ...
differentation4/25/2007
  Q: 1. A rectangular plot of farmland will be bounded on one side by a river and on the other three ...
  A: 1)Considering that the rectangular fence would have only three sides made of wire, two of them would ...
Ratios3/10/2006
  Q: What simple solution, one not requiring algebra if possible, can be used to determine the missing ...
  A: I'm not quite sure how true what you noticed was. Anyway, i can say that there is no specific ratio ...
math3/7/2006
  Q: Praskova wants to obtain a short term loan for $1500.00 and pay it back in 3 months. She does not ...
  A: Sorry for the time it took. The formula for simple interest is I = PRT where I is the simple ...
FACT (N) Excel3/4/2006
  Q: I am attempting to calculate 100! and 200! and also trying to figure out what is the biggest ...
  A: I'm sorry i can't determine the limit of calculation the Excel package can do for you on factorials. ...
Combination problem3/2/2006
  Q: Suppose there are 8 different toppings that you can choose to include or leave off of his hamburger. ...
  A: The number of ways of selecting r things from a group containing n is defined as nCr(read 'n ...
Fractions & Word Questions2/28/2006
  Q: One worker can perform a certain work in 8 days, a second worker in 10 days, and a third worker in ...
  A: Its a rate problem. We simply determine how much work each worker can do in a day. In a day, the ...
Trigonometric Graphs2/23/2006
  Q: I tried to answer this question by drawing it all out, but I am not able to fully answer the ...
  A: Sorry for the time it took. I'm unable to give out a diagram depicting the situation here, but i'm ...
C4 differetiation2/21/2006
  Q: I am having trouble differentiating y=x(a to the power of x) here's what i've done can you show me ...
  A: For y = x.a^x lny = lnx + ln(a^x) [logAB = logA + logB] lny = lnx + x(lna) [log(A^n) = ...
RE cartesian eqn2/20/2006
  Q: can you help me find the cartesian equation of x=(2-3t)/(1+t) y=(3+2t)/(1+t) in the form y=f(x) ...
  A: I knew my solution was longer, but i always have to be elaborate because i'm never sure of the ...
cartesian eqn2/16/2006
  Q: can you help me find the cartesian equation of x=(2-3t)/(1+t) y=(3+2t)/(1+t) in the form y=f(x) ...
  A: This is a set of parametric equations, expressing x and y in terms of (a parameter)t. For x = ...
Mathemtical induction2/8/2006
  Q: Use mathematical induction to prove: 1/3 +1/9 +1/27...+ 1/3^(n)< 1 for n> and =1
  A: Sorry for the time it took. The series 1/3 + 1/9 + 1/27 + ..... + 1/(3^n) is a geometric series with ...
Inverting Fractions2/5/2006
  Q: I want thank you for the reply. Can the following calculation work? Sarah's age is 6/6 of itself. ...
  A: I think you're doing great. All you need add is that in terms of Sarah's age, the sum of the ages ...
Alg. 22/4/2006
  Q: SQ= square root 1.Identify the first step o solving the equation SQ(6x-4)-SQ(2x+10)=0 2.Simplify ...
  A: Maybe its late but it's solution i owe you. SQ= square root 1)The first step of solving the ...
Radicals1/29/2006
  Q: I understand that if you are taking the cube root of 3 and multiplying it to the cube root of 9, you ...
  A: Sorry for the time it took. Technical problem with the site. These are problems requiring the use of ...
combinations/probabilities1/26/2006
  Q: this is a tough one but here goes. 10 books need to be arranged in 4 shelves. any shelf can be empty ...
  A: Sorry for the time it took. Technical problem with the site. A good starting note is the fact that ...
Inverting Fractions1/25/2006
  Q: Sarah's age is 2/3 of Mary's and 3/4 of Ruth's. The sum of their ages is 46 years. How old is each? ...
  A: Sorry for the time it took. Technical problem with the site. The simple idea of inverting comes from ...
Probability1/23/2006
  Q: I understand pairwise mutually exlusive events. When I read this problem I first thought the answer ...
  A: Sorry for the time it took. Yes, loading means "purposefully altering" the die as you suggested. ...
intergration1/21/2006
  Q: s m(D2x/Dt2)dt = s w – k (Dx/Dt)2 dt s= integration sign D= Delta for differentiation Note: All ...
  A: Sorry for the time it took. I'm terribly sorry for the delay, there was a mix up and i thought i had ...
Determine Hours Traveled1/9/2006
  Q: I want to thank you for your reply. I think that I have a calculation that may work and that does ...
  A: I think the answer was just a mere coincidence, it happens. You've actually increased the time by ...
Determine Hours Traveled1/5/2006
  Q: Here is myIf it takes 6 hours to complete a trip, how many hours will it take to complete the same ...
  A: I'm sure it can. We know that speed(v) = distance(d)/time(t) so, v = d/t Let the speed and time for ...
Complex Plane12/27/2005
  Q: I am a little suck by thisDerive the loci (in terms of x and y, the real and imaginary parts ...
  A: Sorry for the time taken. This happens to be such a tedious one so you'll have to be patient and ...
differentiation12/18/2005
  Q: Given that dy by dx = 3 root x minus x squared and that y = two thirds when x = 1, find the value ...
  A: Sorry for the time taken. If dy/dx = 3sqrtx - x^2 Integration of x^n = [x^(n+1)] / n+1 We integrate ...
A level Maths12/17/2005
  Q: For 0<è<2ð, how do I go about solving all possible solutions for: tan3è(tan3è + 1) = 2? Thank you ...
  A: Sorry for the time taken. For tan3e(tan3e + 1) = 2 let tan3e = x and we have x(x+1) = 2 x^2 + x - 2 ...
Word Problem12/12/2005
  Q: A tank can be filled by a hose in 10 hours. The tank can be emptied by a drain pipe in 16 hours. If ...
  A: If the hose can fill the tank(volume V) in 10 hrs, the rate of filling is therefore V/10 per hour. ...
MAath12/12/2005
  Q: It takes 24 minutes to complete a 5-kilometer race. What is the runner speed in miles per hour?Round ...
  A: Distance = 5km Time = 24 mins speed = distance/time so we can simply say speed = (5/24)(km/mins) But ...
tangent line12/9/2005
  Q: I hope I'm finding you in the best of health. I'm taking a calculus course and hope you can help me. ...
  A: Its been a while. For the line y = -3x/4 + 3 to be a tangent to f(x) = k/x the slope and function ...
Solve a simpler problem and look for a pattern11/30/2005
  Q: Find the sum of two hundred even numbers from 0 to 398.
  A: This problem appears to be one of finding the sum of an arithmetic series. The sequence is 0, 2, 4, ...
Math1/14/2005
  Q: Using 8 numbers,how many combinations of 5 numbers can be generated?
  A: Please forgive the delay. I've been on vacation, but didn't notify the allexperts board. The ...
Specialist Maths1/13/2005
  Q: For holiday home work my school has set trig functions. I have started to get stuck because the book ...
  A: Please forgive the delay. I've been on vacation, but didn't notify the allexperts board. From ...
verbal problem1/9/2005
  Q: The profit a coat manufacturer makes each day is modeled by the equation P(x)=-x^2+120x-2000, where ...
  A: The company make a profit when P > 0 i.e -x^2 + 120x - 2000 > 0 multiplying both sides by -1 and ...
Trig limit1/8/2005
  Q: I can't find the Limit lim x->0 (x-tan 2x)/(sin 2x) Help
  A: Please forgive the delay. I was on vacation. Inserting x directly results in 0/0 which is ...
Water problems.1/8/2005
  Q: Greetings Ahmed. I realise you may be very busy, but please do me a great favour by checking my ...
  A: Please forgive the delay. I was on vacation. The answers to a and b are correct. The second answer ...
average of continus function.1/5/2005
  Q: sir, how do we find average of continuous functions? first, in fact, what do mean by average of ...
  A: Please forgive the delay. I'm on vacation but forgot to notify the allexperts board. The average of ...
circles12/8/2004
  Q: A regular hexagon is inscribed in a circle. What is the ratio of the length of a side of the hexagon ...
  A: Really sorry for the delay, i am having my exams and doing a project study at the moment. You're ...
sine and cosine function12/8/2004
  Q: is there a formula for the sine function and the consine function when dealing with graphing them. ...
  A: Really sorry for the delay, i am having my exams and doing a project study. I'm not sure i fully get ...
Intermediate Math12/8/2004
  Q: (Word Problem) A rope that is 344 ft long is to be cut into three pieces such that the second piece ...
  A: Really sorry for the delay, i am having my exams and doing a project study. Let the lengths of the ...
Statistics12/7/2004
  Q: A random sample of 10 parking meters in a beach community showed the following incomes for a day. ...
  A: I've been having my exams at school as well as a project study. I've also been a bit ill which is ...
Radius of Curvature12/7/2004
  Q: hey, just wondering what the RADIUS OF CURVATURE is? if I have a radius of curvature of 250mm what ...
  A: Really sorry for the delay, i am having my exams and doing a project study. At a particular point on ...
Integration12/5/2004
  Q: I cannot seem to find the integral of Sin^-1 x by dx when the boundaries are 0 and 1. Also, I could ...
  A: Really sorry for the delay, i am having my exams and doing a project study at the moment. To ...
parabolas12/2/2004
  Q: find the focus and the directrix. 1) x^2=2y 2) y^2=-4x
  A: Really sorry for the delay, i am having my exams and project study. The general equation of a ...
differentiation11/30/2004
  Q: what is the chain rule and can you explain how it works
  A: The chain rule allows you to use the normal rules of differentiation for even more complex ...
Standard Deviation11/30/2004
  Q: I have a set of numbers: 69,70,72,73,75,76,76,77,80,82. I am to find the standard deviation for ...
  A: Really sorry for the delay, i am having my exams and project study. To find the standard deviation, ...
mechanics11/28/2004
  Q: A mass of 336kg falls a distance of 17.5mm on to the stop at the lower end of a vertical steel ...
  A: I've been having my exams at school as well as a project study. I've also been a bit ill which is ...
pai11/28/2004
  Q: Can you explain to me how the value pai ( 3.14..) was derived. Who is the first person to find this?
  A: Really sorry for the delay, i am having my exams and project study. I'm really not too good with the ...
functions11/25/2004
  Q: give the domain, range, and zeroes of the functions. 1) f(x)= absolute val. [x] +3 2) f(t)= sqrt ...
  A: Really sorry for the delay, i was having my exams and project study. 1)x and f(x) can take all ...
Equations11/21/2004
  Q: Assalumu Alaikum. I am stuck on the following problems, I would be very grateful if you could help ...
  A: Wa Alaek Salam, For simplicity, we write the squared of x as x^2. 1)(x+1)^2 = (x + 1)(x + 1)= x^2 + ...
Solve For $0.6011/17/2004
  Q: I want to thank you for the reply. 6 pens/1/2 dozen pens can be simplified to 1 by converting units ...
  A: There are actually no rules concerning that. It all comes down to the situation, you have to adjust ...
inequalities11/16/2004
  Q: find the set of of values for which a) both 5x + 3 < 3x - 1 and 2x^2 - 6x -8 < 0 for the first part ...
  A: a)5x + 3 < 3x - 1 5x - 3x < -1 - 3 2x < -4 x < -4/2 x < -2 b) For 2x^2 - 6x -8 < 0 ( 2x - 8 ) ( x ...
Area of a shaded rectangular region inside a semicircle.11/15/2004
  Q: A person in a rowboat 2 miles from the nearest point on a straight shoreline wished to reach a house ...
  A: I've been having my exams at school as well as a project study. I've also been a bit ill which is ...
applied max and min storybook problems11/15/2004
  Q: Find the maximum volume of a right circular cylinder that can be inscribed in a cone of altitude 12 ...
  A: I've been having my exams at school as well as a project study. I've also been a bit ill which is ...
applied max and min storybook problems11/15/2004
  Q: A long rectangular sheet of metal 12 in. wide is to be made into a rain gutter by turning up two ...
  A: I've been having my exams at school as well as a project study. I've also been a bit ill which is ...
Solve For $0.6011/15/2004
  Q: I thank you for the reply. I am curious to know how 6 pens/1/2 dozen pens equals 1. Can you ...
  A: If you were dividing 6 pens by 1/2 dozen pens, then it would be 1 but if you were merely stating ...
exponents11/11/2004
  Q: i have trouble dealing with the negatives on the exponents. 1) (3^-2x)^2 * x^-5 2) x^-1(x^-1/3 - ...
  A: Sorry about the delay, a technical problem. First let me state that (x^a)^b = x^(ab) (x^a)(x^b) = ...
HELP!!!11/11/2004
  Q: Can you please help me with the question below? i reached for the first section of the newspaper ...
  A: Sorry about the delay, a technical problem. There are a lot of ways to go about this but i guess its ...
Eigenvalues11/11/2004
  Q: Ok, so i got the following Quadratic Equation: m1m2x^2 + m1K2x + m1K3X + m2xK1 + k1k2 + k1k3 + ...
  A: Sorry about the delay. Well, you really don't have to use that formula to find the roots to confirm ...
Solve For $0.6011/11/2004
  Q: I want to thank you for the reply. If 3 pens cost $0.30, then 6 pens will cost $0.60. The ...
  A: Sorry for the lateness. (6 pens/1/2 dozen pens) is simply 1. So, (6 pens/1/2 dozen pens) X $0.30 = 3 ...
Eigenvalues11/10/2004
  Q: I am having trouble understanding how i can show taht the following 2x2 matrix has two distinct ...
  A: From where you stopped, all you need do is just make a simple rearrangement. First divide through by ...
Calculus 211/8/2004
  Q: I need to evaluate the integral of x^2/((1+x^2)^2). I think the answer may have something to do ...
  A: The delay, a terrible thing. I'm sorry but it was a technical problem here. For this question, we ...
Eigenvalues11/8/2004
  Q: I am having trouble understanding how i can show taht the following 2x2 matrix has two distinct ...
  A: The characteristic polynomial would be a quadratic in #(lambda). With the knowledge of the fact that ...
Pre Calc. Question :(11/7/2004
  Q: 1.) 1/(cscx)(sec^2x) = ? a.)1/(sinx)(cos^2x) b.)sinx - sin^3x c.)1/(sinx)(1+tan^2x) d.)sinx - ...
  A: 1)1/(cscx)(sec^2x) = [1/(cscx)].[1/(sec^2x)] But 1/(cscx)= sinx and 1/(sec^2x)= cos^2x, therefore ...
A lottery,playing a calculated guess rather than just a guess11/7/2004
  Q: Followup To Question -Followup To Question - The U.K.Lottery has 49 numbers we have to choose 6 ...
  A: I'm sorry about your computer, hope you've had it sorted out now. About what i wanted to share with ...
------------------------- ...11/5/2004
  Q: I need your help. Our Association ByLaws and/or Covenants rules state that we must have the approval ...
  A: I don't think that is legal at all. Like you said, every member is entitled to abstain and no one ...
Complex Numbers11/5/2004
  Q: Can you show me a way to easily calculate the roots of the equation (Z^6) - 1 = 0
  A: z^6 - 1 = 0 z^6 = 1 z = 1^(1/6) which refers to all the sixth roots of 1 Converting 1 to its polar ...
equations11/4/2004
  Q: can we call the following equation an exponential equation ?and how can we solve it ? ...
  A: Exponential functions are always of the form a^x where 'a' is a constant and is positive. So i don't ...
Math11/1/2004
  Q: Magic Video Games, Inc. sells an expensive video computer games package. Because the package is so ...
  A: If the management does not want to refund the purchase price on more than 7% of products, the ...
Statistics10/31/2004
  Q: In a study of brand recognition, 80.9% of customers recognized the logo for Chevrolet (hypothetical ...
  A: mean = np = 11(0.809) = 8.899 standard deviation = sqrt(npq) = ...
Statistics10/31/2004
  Q: Maclean's reported that 14% of all books sold are of the romance genre. If a local bookstore sells ...
  A: a)mean = np = 316(0.14) = 44.24 standard deviation = sqrt(npq) = ...
Statistics10/31/2004
  Q: Women have heights that are normally distributed with a mean of 161.0 cm and a standard deviation of ...
  A: mean = 161.0cm standard deviation = 6.2cm the car seat would only fit women taller than 158cm. ...
Statistics10/31/2004
  Q: For people who buy ice cream, the all time favorite is still vanilla. About 25% of ice cream sales ...
  A: a)mean = np = 175(0.25) = 43.75 standard deviation = sqrt(npq) = ...
Statistics10/31/2004
  Q: Privacy is a concern for many users of the Internet. One survey showed that 55% of Internet users ...
  A: a)If the probability of success is p, the probability of failure q = 1-p mean = np = 10(0.55) = 5.5 ...
Statistics10/31/2004
  Q: Listed below are 20 Nationwide Insurance agents in the St. John's-Mount Pearl area: ...
  A: The kind of sampling involved in your questions here are called random sampling. These questions are ...
trig equations10/30/2004
  Q: I don't understand what you did here.Please explain.cot # = 2 implies tan # = 1/2 # = arc tan ...
  A: The cotangent of any angle is the reciprocal of the tangent of the angle i.e cot # = 1/tan # So if ...
heads uP! need help with this question:10/30/2004
  Q: A total of 18 animals are in a field. Some are chickens, some are sheep, and some are cows. The ...
  A: Sorry about the delay. I had a problem with my pc. Lets say we have x cows, y sheep and z chickens. ...
pre-cal volume and area word problems10/30/2004
  Q: Please help me with these 5 problems that I am stuck on. You don't need to do all 5, do what you can ...
  A: Sorry about the delay. I'll , however, try my best. 1)The volume of the box would be V = xyh = 300 ...
trig equations10/29/2004
  Q: Can you please explain what is wrong with my way of doing the following problem:If theta is an angle ...
  A: I can see one mistake. cot = cos/sin but sin = sqrt(1 - cos^2) and not 1 - cos like you wrote. Try ...
numerical differentiation10/28/2004
  Q: using forward and central differences to estimate the first derivative of f(x) at x=1. start with ...
  A: I really think you would do well by reading up the topic of numerical differentiation on a good text ...
Hyp10/26/2004
  Q: f(x)= tan hx Rf=? Df=? g(x)= cot hx Rg=? Dg=? tnx
  A: I'm assuming you are referring to hyperbolic tangents and cotangents i.e tanh x and coth x. tanh x = ...
what is an angles and name...10/26/2004
  Q: what is an angles and name them how many angles we have ?
  A: I'm terribly sorry for the delay. An angle can be described as the rotation required to superimpose ...
Calc I10/23/2004
  Q: Just having a little trouble with these Using the Sqeeze Law of Limits find the limits Lim x->0 x^2 ...
  A: 1)The value of siny always lies between 0 and 1 i.e 0 <= sin 10x <= 1 which implies 0 <= sin^2 10x ...
Statistic math : sampling distribution10/23/2004
  Q: This topic is about sampling distribution. The question is as follow: A study shoes that 46 percent ...
  A: There were a lot of mistakes in your calculations(it doesn't matter if you still got the answer ...
Statistics10/22/2004
  Q: " A student that just graduated from high school has a 61% chance of being accepted to university A, ...
  A: If the probability of an event occuring is p, the probability of the event not occuring is 1-p. lets ...
trig10/22/2004
  Q: The perimeter of regular pentagon ABCDE, shown in the accompanying diagram, is 100 inches. a. find ...
  A: Imagine the pentagon to be inscribed in a circle of radius r. If the perimeter of the pentagon is ...
mod math10/22/2004
  Q: January 1, 2000 was a Saturday, and 2000 was a leap year. What day of the week will January 1, 2050 ...
  A: A leap year occurs once in every 4 years. From January 1, 2000 to December 31, 2003 we have a ...
complex number10/22/2004
  Q: (z-1) power 5=(z+1)power 5 Z=?
  A: (z-1)^5 = (z+1)^5 Expanding both sides gives z^5 - 5z^4 + 10z^3 - 10z^2 + 5z - 1 = z^5 + 5z^4 + ...
algebraic expression10/21/2004
  Q: and I hope you're feeling better now. Onewhat does that mean by "the units digit"? Can you ...
  A: I feel better now, thank you. 'the units digit' simply refers to the last number to the right of a ...
calc10/20/2004
  Q: Is this correct lim x-->0 3sin(3x)/2 3sin(0)/2, or 0/2, or 0. and f(x)=4/(x+8 squared) What is ...
  A: As for the first question, you're correct. For f(x) = 4/(x+8)^2 = 4(x+8)^-2 The slope at any point ...
derivatives of trig functions10/20/2004
  Q: This is the problem: xcosy=y. I am suppose to find d^2y/dx^2 of xcosy=y. I was able to find dy/dx of ...
  A: I'm going to start from the beginning. All we do is find the derivative of every expression with ...
triangles10/20/2004
  Q: Ok i have a triangle that is a length of 27 a hight of 10 and a half and a hypotinuse of 29. The ...
  A: The angle corresponding to a length would be the one facing it(i.e the angle which the line is in no ...
A group can charter a particular aircraft...10/19/2004
  Q: Would you please take me through the steps to solve the following question? I thank you very much. ...
  A: Well, what the information is telling us is that it doesn't matter what the number of people in a ...
radians10/19/2004
  Q: how many radians equal 360 degrees? I know that the answer is expressed in termsd of pi but I can't ...
  A: Sorry for any delay. Let me give you a way of always remembering this. 360 degrees which corresponds ...
algebraic expression10/18/2004
  Q: I'd appreciate if you could show me the operation to solve the following question. "For a given ...
  A: I'm sorry for the delay, i was a bit ill. If the first and second digits are x and y respectively, ...
trig10/16/2004
  Q: PointA(1/2,sqrt(3)/2) is on the unit circle whose center is the origin. If theta is an angle in ...
  A: Due to the fact that i'm unable to provide you with any kind of sketch, i think it'll be good if you ...
trig10/16/2004
  Q: The expression sinA(cscA-sinA)is equivalent to cos^2A.I can't get that. please help.I'm having a ...
  A: I'm sorry for the delay. I was a bit ill. cscA is the short form for cosecA which equals 1/sinA. ...
trig10/16/2004
  Q: The multiplicative inverse of (sin90)^2 + (cos90)^2 equals 1. My question is why is that so?I hope ...
  A: It doesn't matter what the value of the angle is, (cos#)^2 + (sin#)^2 = 1 this is a trigonometric ...
piecewise functions10/15/2004
  Q: i have two questions evaluate the folliwing for the piecewise function: let f(x)=2x+1, if x<0 ; =x, ...
  A: I'm sorry about the delay. I'm afraid i don't get your first question, what does it ask? For the ...
Fractions10/14/2004
  Q: How do you subtract whole numbers and fractions example 7 - 8 15/7
  A: I don't quite get your figures. But i'll still explain how to perform operations on whole numbers ...
GEOMETRY10/14/2004
  Q: ABCD is a square. If the coordinates of three of its vertices are A (-1,2a), B(a,2a), C(a,0),find ...
  A: Well, (a,0) and (a,2a)lie on the same vertical line while (-1,2a) and (a,2a) lie on the same ...
trig10/13/2004
  Q: To the nearest degree, the measure of the acute angle formed by the x-axis and the line that ...
  A: We are interested in finding the gradient of this line which is y2 - y1/x2 - x1 = 10 - 7/8 - 4 ...
Triangle10/13/2004
  Q: a 90' triangle is supposed as ABC triangle, A^=90' a=line infront of A^ angle, b=line infront of B^ ...
  A: Even for a = 2bc, the situation is still ambiguous because a,b,c,B,C could take values from an ...
advanced math project10/11/2004
  Q: Advanced Math Project #1 Jethro and the Home Video Jethro was driving his pickup truck down a ...
  A: Sorry about the delay. I'll only help with the obvious maths involved. According to the officer, the ...
applications of matrices10/10/2004
  Q: I have to select topic & give short presenttion in the class on the applications of a mathematical ...
  A: I'm sorry about the delay. We had a technical problem around here. I'm also sorry that i really ...
vectors10/9/2004
  Q: it is given that r and s are two vectors and |r|=5units. find the value of |r+s | when s is ...
  A: I'm sorry about the delay. We had a technical problem around here. I'm happy to let you now that ...
quadratic functions and models10/8/2004
  Q: in a certain electric circuit, the available power P (in watts), depends on the current, I (in ...
  A: I'm really sorry about the delay. We had a technical problem around here. Using the method of least ...
Triangle10/8/2004
  Q: a 90' triangle is supposed as ABC triangle, A^=90' a=line infront of A^ angle, b=line infront of B^ ...
  A: I'm sorry about the delay. We had a technical problem around here. I'm afraid your question is a bit ...
Binomial theorem10/6/2004
  Q: Find the value of r if the coefficients of the rth term from the begining and the rth term from the ...
  A: For the expansion of (3x+15)^15, the coefficients of the rth term from the beginning and end are ...
Pre-Calculus10/5/2004
  Q: Find the standard form equation of the conic. An ellipse with minor axis along the x axis, one ...
  A: Sorry about the delay. The standard form of the equation of an ellipse is written x^2/a^2 + y^2 /b^2 ...
simplifying square root10/5/2004
  Q: I have a very basic question about simplifying square roots. I can not remember how to remove the ...
  A: Basically, you just have to start by trying to identify the perfect squares you recognise as ...
quadratic modeling10/4/2004
  Q: A certain quadratic function has the form f(x)+ ax^2 + bx + c, where a, b, and c not equal to ...
  A: f(x)= ax^2 + bx + c f(-2)= a(-2)^2 + b(-2) + c = 4a - 2b + c = -18 f(0)= a(0)^2 + b(0) + c = c = -8 ...
applying quadratic functions10/4/2004
  Q: Stacy has 30 yards of fencing that she wishes to use to enclose a rectangular garden. If all of the ...
  A: Alright then, we'll start from where you're stuck. Generally, for a quadratic equation of the form ...
compact sets9/30/2004
  Q: Must not a compact set be infinite? Answer - Hi jsquarek, A set S of real numbers is compact if and ...
  A: I'm sorry that i'm just attending to you. Like i said before, i'm not able to really rigorously give ...
motion problem9/29/2004
  Q: Would you mind checking if my approach to solve the following distance is correct? I'd also ...
  A: 'A' is greater but you made some mistakes. Your approach is, however, good enough. Now, to point out ...
equations9/29/2004
  Q: Solve for x: x^5.2=112 Can you please explain to me all the different ways to do this? That would be ...
  A: Glad to hear you did well in your test. x^5.2 = 112 We have to use logarithms, we'll use 10 as our ...
Which is greater?9/28/2004
  Q: This is a question from the GRE.0 < X < 1 Colum A X + X three-squared + X five-squared + X ...
  A: I'm afraid column A is the greater. You would have been right if X were not between 0 and 1. Look at ...
general math question9/26/2004
  Q: I have a math problem I am a little stuck on. Could you possibly help? "Jack and Jill were flying ...
  A: Glide ratio is an aviation term that refers to the distance an aircraft will move forward for any ...
matrices9/23/2004
  Q: When given a matrix "A" that and a Matrix "B" , how do i find matrix "X" such that AX=B?
  A: I'm terribly sorry about the delay. I had a technical problem with the site. If AX = B multiplying ...
Derivation9/23/2004
  Q: In general, I know what a derivation is, but I don't know how it is calculated. I know some ...
  A: All derivatives are found using the methods entailing the first principles. This method is the basis ...
A lottery,playing a calculated guess rather than just a guess9/21/2004
  Q: Followup To Question - The U.K.Lottery has 49 numbers we have to choose 6 to win the big prize ...
  A: Been long. I have to confess that i completely forgot about making any progress as regards your ...
math/science9/19/2004
  Q: How can you figure out what is good precision and accuracy? I asked my teacher and he explained to ...
  A: Like i mentioned before, accuracy is measured in terms of absolute error and that is where ...
math9/18/2004
  Q: 1. when the polynomial 4x^3+mx^2+nx+11 is divided by x+2, the remainder is -7. When the polynomial ...
  A: When a polynomial f(x) is divided by (x-a), the remainder is always f(a). 1)So when f(x)= ...
Coordinate geometry question9/16/2004
  Q: I am generally ignorant when it comes to coordinate geometry, so I'll apologize in advance if my ...
  A: I know this is terribly late. I had a technical problem with the site. Please forgive me. Well, to ...
math9/15/2004
  Q: 4(-2)Sqyuared +8(-2)+3(-2)+6=
  A: 4(-2)^2 = 4(-2)(-2) = 4(4) = 16 8(-2) = -16 3(-2) = -6 Therefore, 4(-2)^2 + 8(-2) + 3(-2) + 6 = 16 + ...
math/science9/14/2004
  Q: I'm having trouble understanding the difference between accuracy and precision. So, I'm hoping you ...
  A: Precision refers to the degree of agreement between the replicate measurements or of closeness of ...
conversions9/12/2004
  Q: Is there any shortcut to doing a conversion like: 129cm to dm or 12.9g to kg. Using the long way of ...
  A: Just as an example, 1kg = 1000g = 10^3 g So, 1g = 10^(-3)kg = 0.001kg To convert g to kg easily, you ...
probability9/12/2004
  Q: ------------------------- Dear Mr. Salami, I'm sorry, but I've taken the question as written right ...
  A: I'm terribly sorry about the delay, was a technical problem with the site. Anyway, i think what the ...
math9/11/2004
  Q: Danika biked to the beach at a speed of 9 mph. She returned by car at 24 mph. The round trip took 1 ...
  A: Sorry about the time taken. Let the distance to the beach be x miles, then if the time taken to get ...
Limit9/10/2004
  Q: I want to know what limit is and how a limit is calculated. Thank you. and please tell me where you ...
  A: Forgive me for the horrible delay. Well, i'm not sure that i can tell you everything about limits in ...
A Problem I can not solve9/1/2004
  Q: There is this problem that I have been trying to solve for three days without result. I would really ...
  A: I'm terribly sorry about the delay. Anyway, i'm just going to ask you to use some applicable laws of ...
algebra8/30/2004
  Q: What fractions are between 1/2 and 1/3
  A: There are definitely an infinite amount of fractions between 1/2 and 1/3. As an arbitrary example, ...
average problem8/27/2004
  Q: I'm stuck with the following average question. I'd appreciate your help... Regards, CelineThe ...
  A: The sum of the P numbers would be PX while that of the N numbers would be NY. Altogether, there are ...
if I have a parabolic curve...8/16/2004
  Q: if I have a parabolic curve and I mark a dot or a point at the highest part of the curve where it ...
  A: At the highest point, the tangent would just be horizontal. So it's equation is of the form y = k ...
Sylabus D8/15/2004
  Q: i am mojtaba. thank you for answering my last question about function. now this is a SylabusD ...
  A: Having two angles of a triangle gives you the third one. In this case, it would be 40'. You could go ...
Proportions8/13/2004
  Q: If I understand your reply correctly, are the following correct? A proportion having 3 different ...
  A: No, they aren't. I gave you the formula 4. nC2 nCr = n!/(n-r)!r! So, nC2 = n!/(n-2)!2! where n! = ...
Function8/13/2004
  Q: solve this function: 5f(x)+3f(-x)=x6 note: x6=x^6 eg(2^6=2x2x2x2x2x2) thank you
  A: Well, there are quite a number of ways to look at it. But let's try this. Let both sides of the ...
Proof of Newton's Gravity8/13/2004
  Q: Q.How did newton prove that the product of the masses of two bodies is directly propotional to the ...
  A: Concerning how he proved that that the force is at the centre, thats a bit long and you can find it ...
QUADRATIC FORMULA8/11/2004
  Q: How are you doing today? I hope all is well with you. I'm having difficulty with these problems. ...
  A: I'm terribly sorry about the delay. For a quadratic equation, ax^2 + bx + c = 0, the roots are ...
Hi. Here's the question....8/11/2004
  Q: Here's the question. I just do not understand how X can be a reminder when 2x is divided by 4 is 0. ...
  A: Sorry about the delay. I can't see the question saying that x is a remainder. It only asks for the ...
distance problem8/10/2004
  Q: Will you demonstrate your approach to solve the following question? **How long would a car ...
  A: speed = distance/time So in this question, speed = 30miles/hr distance = 44 feet but 1 mile = 5280 ...
What is the area under the...8/8/2004
  Q: What is the area under the curve y = x³ from x = 1 to x = 2 ?
  A: Like i replied in one of your questions, the area under a curve is the definite integral evaluated ...
please help8/8/2004
  Q: What is the area under the curve y = x² + 1 from x = 0 to x = 1 ?
  A: The area under a curve is the definite integral evaluated between the interval. So the area in this ...
function8/8/2004
  Q: When x = 1 the function y = 5x² - 10x – 3 a) has a maximum b) has a minimum c) is ...
  A: Turning points occur when dy/dx = 0 So for the function y = 5x² - 10x – 3 dy/dx = 10x - 10 equating ...
Proportions8/6/2004
  Q: If a proportion such as a/b = c/d has eight different proportion calculations, how many different ...
  A: If we are talking of combinations, then i think that the first and third options in your example are ...
probability questions8/6/2004
  Q: 1. When two fair dice are rolled, what is the probability of getting a 4 on the first dice and a 2 ...
  A: Forgive me for the delay. 1)When two fair dice are rolled, the outcome on each die is independent of ...
mathematics8/6/2004
  Q: Is there any difference between 1/0 and infinity? why 1/0 is undefine?
  A: In mathematics the numbers 0 and infinity are used rather ambiguously. 0 is used to refer to any ...
Calc Problem8/4/2004
  Q: Given that: f(x)= (x^3) + (ax^2) +bx has critical points at x=1 and x=3, find a and b and classify ...
  A: If f(x)= x^3 + ax^2 + bx = y dy/dx = 3x^2 + 2ax + b At critical points, dy/dx = 0 Therefore, 3x^2 + ...
Complicated XY-plane question8/3/2004
  Q: Since my question must be accompanied with the visual XY-plane graph, I'll try to describe it after ...
  A: The equation of the circle is x^2 + y^2 = 4 and the equation of the parabola is y = x^2 - 3 ...
This should not be hard to you8/2/2004
  Q: <1% That mean less than one percent, correct? I always have a hard time remembering which way is ...
  A: Of course it means less than one percent. But just as a quick way of recognising each one, consider ...
Dear Ahmed, I need your help....7/31/2004
  Q: I need your help. Our Association ByLaws and/or Covenants rules state that we must have the approval ...
  A: To pass the measure, more than half of the total members of the association should be in favour. ...
standard deviation7/30/2004
  Q: Salami, My question for you is about standard deviation. This is a question from the GRE(Graduate ...
  A: Sorry about the delay. I'll take you through the steps of finding the standard deviation of a set of ...
function problem7/24/2004
  Q: I understood the problem. However I was struck up with these 2 problems. 1) Find all possible ...
  A: Sorry about the delay. 1)Considering the problem, the slopes of the lines joining each of the other ...
A lottery,playing a calculated guess rather than just a guess7/23/2004
  Q: The U.K.Lottery has 49 numbers we have to choose 6 to win the big prize which makes odds of ...
  A: I'm terribly sorry about the delay. But i'm afraid i don't really get the question. I'm talking ...
trig7/23/2004
  Q: If y=sinx and y=arc sinx are graphed on the same axes, which of the following would be a line of ...
  A: Sorry about the delay. The graph of y = arc sinx lies between x = -1 and 1 and y = -#/2 ad #/2 . The ...
homework help7/21/2004
  Q: I am having trouble with the one's below..... The question was - Solve each of the following ...
  A: For -7<(2x-5)/2<1 , we solve separately -7<(2x-5)/2 -14< 2x - 5 -9 < 2x -9/2 < x also (2x-5)/2<1 ...
math7/20/2004
  Q: If a diameterCOB extends out to P, and PA is a tangent to the circle, if measure of angleAPC=21, the ...
  A: If you draw out the situation, you would find that OAP is 90 because AP is a tangent and O is the ...
POLYNOMIALS7/19/2004
  Q: When multiplying two polynomials, what fundamental property do you use repeatedly?
  A: I'm not exactly sure what you require. But tell you what,when multiplying two polynomials, keep it ...
maths7/18/2004
  Q: byee plzz tell
  A: This is not exactly in line with my expertise. But mathematics is all about practice. To make sure ...
math7/15/2004
  Q: Write as a single logarithm: log 2+3log x-(1/2)log b. My book gives the answer, log(2x^3/sqrt(b)). I ...
  A: 3log x = log x^3 1/2 log b = log sqrt(b) Therefore, log 2+3log x-(1/2)log b = log 2 + log (x^3) - ...
math7/15/2004
  Q: Evaluate log41-3log42+(1/2)log416.(all the 4's are small).My book says the answer is (-1/2), but I ...
  A: 3log4 2 = log4 (2^3) = log4 8 1/2 log4 16 = log4 (16^1/2) = log4 4 Therefore simplifying gives log4 ...
math7/14/2004
  Q: Depreciation of a car is determined by the formula, V=C(1-r)^t, where v is the value of the car, c ...
  A: From the question, we know that V = 6000, C = 24000 Using the formula, 6000 = 24000 (1 - r)^5 ...
Math7/13/2004
  Q: Is y=-3^x a exponential function? The reason I say it might, is:the equation for an exponential ...
  A: I guess b should be greater than zero because of the problem that would arise when you try to find ...
Finding the nearest fraction7/13/2004
  Q: I need an algorithm which, given a decimal value, will return the nearest fraction (1/9, 1/8, 1/6, ...
  A: Every decimal value can be converted to a fraction except it is an irrational number. For instance ...
math7/11/2004
  Q: This is preparation for next year when I take the MathB regent.I'm trying to learn the math by ...
  A: The solutions can be found by considering the equation, y = 2^x - 2x = 0 But unfortunately, there ...
standard deviations7/11/2004
  Q: I'm using excel to try to calculate standard deviations, but unfortunately the excel geeks aren't ...
  A: I'm sure you are terribly disappointed. I had a problem with my pc, i'm really sorry. Your question ...
Fractional Units7/10/2004
  Q: I want to thank you for your reply. I have a two part follow-up question. 1. From you reply, what ...
  A: sorry for the delay. We divide by 2 to have all expressions in just lbs (without any number before ...
Fractional Units7/8/2004
  Q: How is the answer determined for the following? Do not change, if possible, 2, 1/2 lbs. to 1 lb. to ...
  A: i don't quite get you. I believe i have answered this before. But if it makes you feel any better, ...
probability7/7/2004
  Q: Here is the question, Any help would be great 2 of 6 people who apply for a college program are ...
  A: This is a binomial probability question. The binomial probability distribution describes experiments ...
Armstrong number7/5/2004
  Q: Could u please tell me....what is an Armstrong number... Thank you...
  A: Armstrong numbers (also called narcissistic numbers or plus perfect numbers)are well known in ...
Alternative Solution7/2/2004
  Q: I want to thank you for your reply. Is the calculation from your answer used to convert or change ...
  A: The conversion is used to convert kilometers per hour to meters per minute for 1hr = 60 mins and not ...
Root-Finding algorithm6/30/2004
  Q: I have a some functions that I am trying to find their root quickly and efficiently. I can't seem ...
  A: I can't really understand your function but i would tell you this. The Bisection method could at ...
Proof6/24/2004
  Q: Someone gave me this proof that one is equal to negative one. Can you tell me what's wrong with it? ...
  A: I really do understand your concern. This is not the first time i have come across something like ...
math6/24/2004
  Q: how do you factor 174 digit number
  A: I am not sure i understand your question. If you meant finding the factors of a number with 174 ...
How doing you solve and simplify...6/23/2004
  Q: How doing you solve and simplify the following: 2x^2 - 11x + 12 3x^2 - 16x + 16 ...
  A: let A = (2x^2 - 11x + 12) / ( 6x^2 + x - 12) = (x - 4)(2x - 3) / (3x - 4)(2x + 3) B = (3x^2 - ...
Binomial Theorem6/23/2004
  Q: Expand the following: (2x-1)^5 This is the answer that I got: 2x^5 - 10x^4 + 20x^3 - 20x^2 + ...
  A: (a + b)^5 = a^5 + 5a^4b + 10a^3b^2 + 10a^2b^3 + 5ab^4 + b^5 In this situation, a = 2x and b = -1 ...
Algebra6/20/2004
  Q: Your question was How do you put each of these in a linear form, please? 1) y = ax + bx 2) m-b = ...
  A: Sorry about the delay. y = ax + bx = (a+b)x y against x is therefore linear m - b = a/n You could ...
Angles6/19/2004
  Q: I am building a ramp for a wheelchair-bound relative. I took a 5 foot board, propped it against the ...
  A: Sorry about the delay. There is always a trigonometric way out of problems like this one. since one ...
Point in a triangle6/18/2004
  Q: I'm trying to figure out a point's coordinates given that I know a number of values. I am assuming ...
  A: I'm really sorry about the delay. your question is a little bit involved but i would say i can't see ...
Line integrals6/16/2004
  Q: I have a problem with understanding "main" difference between line integrals. I know different way ...
  A: Did you mean the difference between line integrals concerning vector and scalar functions? Anyway, ...
Hello, I'd be very thankful...6/16/2004
  Q: I'd be very thankful if you answer the following two questions: 1-Is there any formula to enable you ...
  A: (1)Yes, there is Stirling's formula which allows us to do that. It states, for large n n! ~ ...
word problem6/15/2004
  Q: please I need you help to solve this problem thank you so much A coffee manufacturer wants to ...
  A: If tha amount of the $2.75 coffee is x pounds, the amount of the $5 coffee should be (100 - x)pounds ...
alegbra6/14/2004
  Q: 1) when administering a standard intelliegence test, we expect about 1/3 of the scores to be more ...
  A: Sorry about the delay. I am answering your question in the order i feel appropriate. (2)Before i ...
Triangle Problem6/14/2004
  Q: describe a triangle with an angle that has a degree of 190 or more
  A: Sorry about the delay. Maybe i didn't get you but i believe every triangle has the sum of its ...
flow rates of compressed air6/13/2004
  Q: i have a small compressor that delivers 30 psi through 1/4 inch outside diameter hose. it connects ...
  A: Sorry about the delay. First you need the conversions, 1 psi (lb/in2) = 6,894.8 Pa (N/m2) 1 in2 = ...
square root6/13/2004
  Q: Find two numbers such that the sum of their squares is 47 and the difference of their squares is 7.
  A: How about going through it like this. Let the numbers be x and y, as usual, x^2 + y^2 = 47 x^2 - y^2 ...
irrational numbers6/13/2004
  Q: Determine whether the following statement is true or false. The sum of any two irrational numbers ...
  A: Sorry for the delay. Let me start by saying a few things. (1)x and -x are either both rational or ...
college algebra6/11/2004
  Q: please can you help me with equations, thank you so much #1 standard form a+bi 2+3i/1-i #2 ...
  A: Sorry for the delay. Lets go through it as easy as possible. (1) The first thing you do here is ...
Functions6/10/2004
  Q: Find the domain of the function. f (x) = 5x / (x2 - 9)
  A: To find the domain of any function you look for points where the function is undefined. This ...
scaling factor6/8/2004
  Q: If I have a circle with a radius of one inch. To draw a circle with an area four times as large. ...
  A: Sorry its a bit late. We know that the area of a circle of radius r is #r^2. If we decide to work ...
Divisors6/5/2004
  Q: "find all possible common divisors of 2n+1 and 3n+9"?
  A: I am really sorry for the delay. your question got mixed up wit the answered ones. Maybe i don't get ...
5% X $___ + 2% X $___ = $1,2006/4/2004
  Q: The following should help: A man invested $30,000 for one year at simple interest; one portion was ...
  A: Alright i think i get you now. Let x and y be the two amounts that make up the total value. Using ...
5% X $___ + 2% X $___ = $1,2006/3/2004
  Q: If you believe that ratios, percentages, proportions are all algebraic too. Then solve it with one ...
  A: Alright, lets get this over with once and for all. I would like you explain well what the question ...
integers6/1/2004
  Q: you know how you said for cute integers to go 4*4*4*4? well wouldnt it be 4*5*5*5. because "zero" ...
  A: Well, i didn't consider 0 as an even number. If you consider it as an even number then the amount ...
physics6/1/2004
  Q: i m preparing for written test of M.S i want to ask u some formualas or related topics i hope ...
  A: I am assuming you mean that the mass per unit area is 3r. The area of a circular plate of radius r ...
Geometry: Properties of Chords5/31/2004
  Q: The point P is any point placed inside a circle. Is it always possible to draw a line through P ...
  A: Well, you didn't exactly mention any restrictions to how this line is drawn especially with regards ...
Geometry: Properties of Chords5/31/2004
  Q: Prove that a straight line drawn from the centre of a circle perpendicular to a chord will, if ...
  A: A straight line drawn from the centre of a circle would only be perpendicular to a chord if it ...
5% X $___ + 2% X $___ = $1,2005/30/2004
  Q: Is there a non-algrebra solution for determining the answers for the following calculation, perhaps ...
  A: I am not sure i quite qet the question. But if the question is asking for the solution of an ...
monte carlo methods5/30/2004
  Q: Please help me to use monte corlo methods to evaluate the value of 'e'(ie exponent) Thank you.
  A: First of all i would like you to forgive this very late reply. I had a few problems with my ...
integers5/29/2004
  Q: call an integer "wild" if no two of its digits are equal and no digit is 0. Call an integer “cute” ...
  A: I am really sorry for the delay. Alright then, Let n(W)= The amount of wild integers n(W)= 9P4 (read ...
physics5/29/2004
  Q: i m preparing for written test of M.S i want to ask u some formualas or related topics i hope ...
  A: I am really sorry for the delay. (1)If you mean the square root of -1, it is written just as i and ...
Sum of roots at great power5/27/2004
  Q: Can you help me with this problem: If x1 and x2 are the solutions to this equation:x^2-x+1=0, then ...
  A: Sorry for the delay. I hope you are familiar with complex numbers and their polar and exponential ...
Differential equations with Laplace transforms5/26/2004
  Q: What is the Laplace transform of the natural log function. I missed class, and can't seem to find ...
  A: Sorry for the delay. Why don't you try integrating it by parts? I am sure it wouldn't work but its ...
geometry5/24/2004
  Q: 1. find the slope and y-intercept of the graph of each equation x + y = 8 2x - y =4 2. Determine ...
  A: Simply put, the graph of a linear expression is always of the form; y = mx + c where m represents ...
Dice Probability Question5/22/2004
  Q: What the chances of rolling six sets of 18s, by rolling (3 six-sided die) six times?
  A: When 3 six-sided dice are thrown once each of the die can give six different outcomes and we ...
um... HELP!5/21/2004
  Q: When the snow stopped falling, Kelly, Miguel and Niha rushed outside to build a snow statue. Kelly ...
  A: I am sorry for the delay. Alright, let the snowball sizes have circumferences x,y,z in ascending ...
Mechanics: Vertical Motion5/21/2004
  Q: Heres a question i couldnt quite figure out no matter what i did... got my paper in a week, so would ...
  A: Sorry for the delay. I'll try to go through this as easy as possible. Consider the forces acting on ...
math5/19/2004
  Q: how many nine digit binary numbers do not have any consecutive zeros?
  A: Sorry for the delay. I'll try to go through this pretty easily. The first digit of the nine digit ...
maths5/18/2004
  Q: what is the product of the following series? (X-A)x(X-B)x(X-C)x(X-D)...(X-Z)
  A: Assuming 26 factors and letting f(x)= (x-a)(x-b)(x-c).........(x-z) this is an expression whose ...

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