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Advanced Math/Questions Answered by Expert Sherry Wallin

SubjectDate Asked
Math1/24/2012
  Q: Suppose that a market research company finds that at a price of p = $23, they would sell x = 39 ...
  A: There are a lot of different ways to determine the demand equation. The first thing you need to ...
math1/23/2012
  Q: Observe the sequence 1,1,2,3,5,8,13,.....Starting from the third number, each number is the sum of ...
  A: Leonard~ Hopefully you recognize this as the Fibonacci Sequence. There is a lot of information out ...
Differentiation1/21/2012
  Q: i have 3 questions, and am trying to see if i have some correct, A(i) write the derivative of the ...
  A: I will show you how to do the first two. You have not shown me what your answers are or how you did ...
Can you please help me with this word problem1/15/2012
  Q: Given the length and width (in feet and inches) of a rectangular room and the price per square yard ...
  A: Is this a linear programming problem? I will help you by listing what you will need to do and you ...
Savings for baby.1/8/2012
  Q: My wife and I would like to save an Extra $10,000 by November 2012. Currently I am the only that ...
  A: J Conceivably you could save $16388 by the time November rolls around. I figure there are 21 ...
Please Help me12/29/2011
  Q: Q1) what is the value of 3333-333+3? Options are : A)1000,B)2000,C)3222,D)3122. Q2)2/5 0f of a ...
  A: your choices do not have the correct values in them. For example for the first one: 3333-333+3 = ...
subject of formula12/16/2011
  Q: From the formula for the sum of a geometric progression(GP). S= a(r^n - 1)/r - 1 make "r" the ...
  A: I'm not 100% certain what you are trying to do. If what you are trying to do is solve for r it ...
probability12/14/2011
  Q: Drawing 3 cards from a 52 card deck, what is the probability/odd of: a)them all being red b) one of ...
  A: a) 4/52 * 3/51 * 48/50 = .0043433891 with the same reasoning as before. The first factor 4/52 is ...
probability12/13/2011
  Q: Drawing 3 cards from a 52 card deck, what is the probability/odd of: a)them all being red b) one of ...
  A: There are 26 red cards out of 52 cards, so the probability of choosing one red is 26/52 = 1/2 After ...
maths12/7/2011
  Q: (a^1)+(a^2)+...+(a^n) how 2 solve this for a=3 and n=8
  A: I am not sure what the question is, except that you will want to figure out what 3 + 3^2 + 3^3 ...
Pre-Algebra11/30/2011
  Q: how do you solve this problem i don't get how you do it?! 8x+10=2x-8
  A: Hailey~ 8x + 10 = 2x - 8 first you want to gather your terms with x on one side so lets -2x from ...
Trig11/27/2011
  Q: Find all the exact solutions (in radians) for the equation 3tan^2 alpha - 4 = tan alpha.
  A: Joe~ Substitute tan alpha with x, move everything to the left and get: 3x^2 - x - 4 = 0 now factor ...
Equation?11/21/2011
  Q: I’m looking to figure out an equation that can forecast sales. For example let’s say I have sales ...
  A: Tom~ There are a lot of things that will affect sales but in general if you have data for the ...
Equation?11/17/2011
  Q: I’m looking to figure out an equation that can forecast sales. For example let’s say I have sales ...
  A: Tom~ Is this a statistics problem? When you say with a certain level of confidence it smacks of ...
word problem11/16/2011
  Q: Julio left the hospital and drove toward the recycling plant at an average speed of 55 mph. Jasmine ...
  A: Jessi~ Let t = Jasmine's time driving and Julio's time is t + 4. The distances are the same and we ...
mathematics11/14/2011
  Q: sir how can we solve 2^x+x-3=0,and that type of questions ,please give me the method . ANSWER: ...
  A: There are many ways to try to bound the problem but I do not know your level of math. Have you had ...
Advance Algebra11/13/2011
  Q: 1.) Suppose an old peso bill is 20 cm long and 12 cm wide. It is mounted on a piece of cardboard ...
  A: Hazel~ The area of the peso bill is 20(12) = 240 square cm you want a cardboard 2 3/4 in area ...
math11/7/2011
  Q: in the 2004 season, seattle's lauren jackson was ranked first in the wnba for total points and ...
  A: Noel~ Let x = number of 3 pt field goals Let y = number of 2 pt field goals Let z = number of free ...
pre cal11/2/2011
  Q: write an equation of the sine function with amplitude 4, period 3 degrees, and phase shift of -30 ...
  A: If f(x) = Asin(Bx+C) A = amplitude 2*pi/|B|= period assuming B>0, -C/B is the phase shift note - 30 ...
multiplication10/31/2011
  Q: if f(x)=x1.x2.x3 and f(y)=y1.y2.y3 and y1=x1+dx1, y2=x2+dx2, y3=x3+dx3 then, f(x)-f(y) is not equal ...
  A: You can take what I did earlier then and in place of the dxn but xn'. I'm not sure what you are ...
Calculus10/30/2011
  Q: Good Afternoon Sherry, Could you explain me how to find parametric equation and implicit ...
  A: Rishi~ If the radius is on the x-axis then the base of the right circular cone is in the xy plane ...
multiplication10/30/2011
  Q: if f(x)=x1.x2.x3 and f(y)=y1.y2.y3 and y1=x1+dx1, y2=x2+dx2, y3=x3+dx3 then, f(x)-f(y) is not equal ...
  A: f(x)-f(y) =x1x2x3-(x1x2x3+x1x3dx2+x2x3dx1+x3dx1dx2+x1x2dx3+x1dx2dx3+x2dx1dx3+dx1dx2dx3) = ...
Pythagoras Theoram10/26/2011
  Q: Sir , I have got an assignment , which i have fully done , excluding the question given below , ...
  A: Ashar~ Hi, here is a method for answering your question using the Pythagorean Theorem, however you ...
Scrabble Board Game - Reinventing - Maths Application.10/21/2011
  Q: http://en.wikipedia.org/wiki/Scrabble Current Board Design ------------------------ 15*15 square ...
  A: what an interesting thing to ponder. I am sure the answer is yes to your last question, that is, ...
Price is Right-Math question10/20/2011
  Q: To Miss Wallin: This question happens on popular game show sometimes-"The Price is Right." ...
  A: Timothy it would help me if you were to tell/show me what techniques you used to arrive at your ...
Savings.10/17/2011
  Q: Rent 800 Food 240 Electricity 100 Gas bottles 100 Petrol 300 Luxury weekend cafes’…etc approx. 200 ...
  A: a fortnight is 2 weeks or 14 days and you said your wife makes $2640 in a fortnight which means she ...
Graph Interpretation probability and percentile10/12/2011
  Q: I was trying to understand the following portion of an article, which stated: A) "... the ...
  A: J~ Your interpretation of the first graph is accurate except the probability approached a maximum ...
input output10/10/2011
  Q: I need an equation for the following input output statement. S 18 20 22 24 ? ? ? T 9 11 13 15 17 ...
  A: Samantha~ Let T be the dependent variable, and S the independent variable. Find the slope m = ...
VECTOR10/6/2011
  Q: the point A{x1,y1,z1}and B{x2,y2,z2}lie in the plane ax+by+cz=d.Show that a{x2-x1}+b{y2-y1}+c ...
  A: Sorry for the late response... Substitute the point A into ax+by+cx = d: ax1 + by1 + cz1 = d and ...
Savings.10/5/2011
  Q: Rent 800 Food 240 Electricity 100 Gas bottles 100 Petrol 300 Luxury weekend cafes’…etc approx. 200 ...
  A: This new info makes no sense. In 4 months there are approx 17-18 weeks and suppose it is 18 then ...
Savings.10/4/2011
  Q: Rent 800 Food 240 Electricity 100 Gas bottles 100 Petrol 300 Luxury weekend cafes’…etc approx. 200 ...
  A: A. 800 + 240 + 100 + 100 + 300 + 200 = 1740 in debt monthly with 2600(2) + 4000 = 9200 monthly ...
Missing ) need help with math.10/3/2011
  Q: Sorry before I was missing a ) in the first example. I am trying to work out the part in brackets ...
  A: A~ Are you using x as a variable in both instances? I suspect not. You can't use x as an operator ...
COMPLEX VARIABLE9/30/2011
  Q: please help me out with the following question please please.... I am waiting for the answer Using ...
  A: Attir~ w = 1/z^2 lim [f(z+h) - f(z)]/h = lim [1/(z+h)^2 - 1/z^2]/h => lim ...
Prime Factorization9/26/2011
  Q: Hey Sherry i hope you don't mind me asking this ok well here it is... Cameron is making bead ...
  A: Jonathan~ You will want to find the GCF of 90 and 108. One way to do it is to prime factor each ...
number theory9/24/2011
  Q: question is in the image @@@@@IMAGE:87355:Advanced-Math-1363/2011/09/number-theory_3.jpg##### ...
  A: 3 to the 33rd power is the same as 3 cubed all to the 11th power. 3 cubes is 3*3*3 = 27. You are ...
determinants9/24/2011
  Q: question is in the image @@@@@IMAGE:87351:Advanced-Math-1363/2011/09/determinant_2.jpg##### ANSWER: ...
  A: If you have a 2x2 matrix and you want to find the determinant you multiply the element in the 1st ...
determinants9/23/2011
  Q: question is in the image
  A: | 1 5 8 | x | 0 2 6 | | 0 0 3 | Since there are three zeros in the first column of 4 all ...
Card Indoor Game - Reinventing - Maths Application9/20/2011
  Q: Can we manufacture/create another 13 Cards for say Lotus, 13 Cards for Daffodil, 13 Cards for ...
  A: I am not a bridge player. However think about what you say in #'s 1,2,3. Of course they are not ...
maths9/20/2011
  Q: IQGiven that there are 10 bottles(1 bottle antidote, 9 bottles poison) of pills in the lab. Each ...
  A: Well one way to determine which bottle is the anecdote is to see which bottle doesn't poison/kill ...
Mathematical Keyboard Software Interface9/16/2011
  Q: Can we have a Mathematical Keyboard Layout Software Interface ? The Designed Mathematical Keyboard ...
  A: I think your ideas are great but I think we have been talking two different applications. What i was ...
Pay to go to perm.9/15/2011
  Q: I am presently contracting my pay after tax (rate of 30%) per week is $1787.48. Now if I go ...
  A: Let x = the amount of gross pay then .30x is the tax on the gross pay and you want a net of 1787.48 ...
problem sets/ proportional reasoning9/14/2011
  Q: 1. The gauge of an oil tank indicated that it was 1/7 full. After 240 gallons were added, the gauge ...
  A: michaelyn~ basically you have a tank that is 1/7 full and when you put some fuel in, exactly 240 ...
Mathematical Keyboard Software Interface9/12/2011
  Q: Can we have a Mathematical Keyboard Layout Software Interface ? The Designed Mathematical Keyboard ...
  A: Absolutely. You can assign special symbols for your keyboard keys even now in Microsoft Word without ...
inequality9/11/2011
  Q: the question is attached as gif file
  A: Pedja~ Try using mathematical induction. Math Prof
Simplify Fraction9/11/2011
  Q: How would you go about simplifying this: 1 + 2n 2n ------ x ------ −2n 1 ...
  A: Daniel~ Cancel the 2n with the 2n leaving you with (1+2n)/-1(1-2n) = (2n+1)/(2n-1) All I did above ...
Direct and Inverse Variation9/10/2011
  Q: DIRECT VARIATION : one quantity increases the other quantity increases or if one quantity decreases ...
  A: Direct proportion and direct variation would mean the same thing in this context. You asked what ...
Direct and Inverse Variation9/9/2011
  Q: DIRECT VARIATION : one quantity increases the other quantity increases or if one quantity decreases ...
  A: Variations involve a constant k. y = kx means y varies directly as x. y = k/x means y varies ...
Trigonometry8/21/2011
  Q: I have a worksheet for homework and out of 7 I don't get these two. Please help, thanks Verify the ...
  A: Merlene~ Since the cos^2(x) + sin^2(x) = 1, then solving for sin^2(x) you get that cos^2(x) = 1 - ...
Mathematical and Physical Constants8/18/2011
  Q: Referring to the Wikipedia Link for Mathematical Constants ...
  A: Prashant~ I do not know where you got the definition: "Those Physical constants whose value do not ...
Mathematical and Physical Constants8/17/2011
  Q: Referring to the Wikipedia Link for Mathematical Constants ...
  A: A physical constant on earth for gravity will not be a mathematical constant because you need to ...
Simultaneous Equations8/16/2011
  Q: I have the following four equations, and need to solve for the four unknowns. Reduced row echelon ...
  A: Kane~ You can't find a solution for the 4 unknowns because this is a dependent system. Row 2 and ...
Maths-TRIGNOMETRIC FUCTIONS OF MULTIPLE ANGLE8/8/2011
  Q: Prove that sin16x/sinx=16cosx.cos2x.cos4x.cos8x
  A: Sorry for the delay in answering I have been on vacation in the mountains with no internet access... ...
Maths-trgnometric ration of allied angles8/4/2011
  Q: Prove that Sin(pi/5)+sin (4pi/5)-sin(11pi/15)-sin(14pi/15)=0
  A: Dhananjay~ Not sure what there is to prove, you can put this into a calculator and verify it or ...
Maths-Trignometry8/4/2011
  Q: Prove that cos(90+x)sec(270+x)sin(180+x)/(cos(-x)cos(270-x)tan(180+x)=cosx
  A: Dhananjay~ You will never be able to prove this because it is not true. Always, always check if you ...
Matrix7/30/2011
  Q: If Matrix A = 1 0 1 then show that |3A| = 27 |A| 0 1 2 0 ...
  A: det 3A = |3 0 3| = 3|3 6| = 3(3(12) - 0(6)) = 3(36) = 108 |0 3 ...
probabilities and permutations7/28/2011
  Q: just wanna ask some questions, that my head really hurts everytime i try to compute the ...
  A: Sanny~ What is ff? 1 - the probability of getting a pair of cards in a standard deck of cards. ...
math7/27/2011
  Q: Let L be the set of all lines n a plane and R be the relation defined as R = {(m,n)εLxL/m is ...
  A: You will need to send the problem where it can be properly determined. The way it comes across it ...
Reflective Character Series - (Exact Replica of the Character/Letter/Alphabet in Mirror)7/27/2011
  Q: As similar to Reflective Number Series. we can also note down the Reflective character series for ...
  A: If the letters you stated are all those that were not in the reflective set, then yes the 2nd set ...
math7/26/2011
  Q: Let L be the set of all lines n a plane and R be the relation defined as R = {(m,n)εLxL/m is ...
  A: To be reflexive the lines need to be the same and two perpendicular lines are obviously not the ...
* Mirrored Numbers - (Exact Replica of the Number) - Optics & Real Life Use ?7/26/2011
  Q: What i observe by looking at the Numeric Whole Numbers(Integers) in Mirror (Glass) Object are the ...
  A: If you can figure out a formula or a pattern that generates the series then it would be. The ...
Right Triangle7/22/2011
  Q: If you have a right triangle as shown in the graph below, I guess it is possible to calculate the ...
  A: Nelaw~ If you know x1,x2,y1,y2 you can find the distance between the two ordered pairs (x1,y1) and ...
Right Triangle7/19/2011
  Q: If you have a right triangle as shown in the graph below, I guess it is possible to calculate the ...
  A: Nelaw~ You can find the distance between two points and that will give you the length of the ...
combinations7/17/2011
  Q: how many combinations are there if you have two groups of numbers.1-50 then also 1-11
  A: Combinations imply that 1,2 is no different than 2,1 or abc is no different than cab etc, exact ...
Radicals (Surd)7/16/2011
  Q: {(7*3^1/2)/ (10^1/2+3^1/2)} – {(2*5^1/2)/ (6^1/2+5^1/2)} – {(3*2^1/2)/ (15^1/2+ [3*2^1/2])}
  A: Sri~ Multiply each term by the conjugate of it's denominator. For example the first term's ...
Matrix Multiplication7/14/2011
  Q: When we are multiplying two matrices, it is necessary that the number of columns of the matrix to ...
  A: it is necessary that the number of columns of the matrix to the left should be equal to the number ...
Maths-Trignometric ratios7/14/2011
  Q: If x=asinx+bcosx, y=acosx-bsinx, Then show that (ax+by)^2+(bx+ay)^2=(a^2+b^2)^2
  A: Dhananjay~ I think you must have a typo because I do not believe this is true the way you have it. ...
MAT 1507/12/2011
  Q: I've been trying to do this question all night, so I need some help. Here it goes: The weight of a ...
  A: Ok, well then you need to just use the formula for the varies jointly and that is if y varies ...
Maths-Trignometric functions7/11/2011
  Q: Prove that [cos(Theta)/(1-tan(theta)]+[sin (theta)/1-cot(theta)]=Sin(theta)+cos(theta)
  A: Dhananjay~ Let's call theta x so that we have: [cos x/(1-tan x]+[sin x/1-cot x]=sin x+cos x [cos ...
Hours of work.7/6/2011
  Q: would just like to know how many hours I've worked this week, can you please let me know, they are ...
  A: A~ 8.25 + 8.75 + 8.5 + 8 + 8 = 41.5 Convert 5.15 to 1715 and 1715 - 9 = 815 convert 5 to 1700 ...
Permutation and combination7/6/2011
  Q: I've tried to solve this problem but I can't. Please help me. *How many mixed double tennis teams ...
  A: This is just a multiplication principal counting problem. If there are m1 ways to choose something ...
advanced math6/30/2011
  Q: if 2x^3+Mx^2+Nx+6 is divisible ny both x-1 & x+2 , find M & N.
  A: Jasmin~ Do you know how to do synthetic division? If both x-1 and x+2 divide your polynomial that ...
general equation of circle(problem)6/29/2011
  Q: i m not getting the answer of following question "find the equation of a circle passing through ...
  A: Samiksha~ There are many forms of equations for circles, the most common is (x-h)^2 + (y-k)^2 = ...
Normal Distribution Curve6/22/2011
  Q: The mean = 32.3 and standard deviation of the data is:6.3 ---> Calculate the percent of sales, to ...
  A: There is a rule called the "Empirical Rule" for normal distributions or bell-shaped distributions ...
Depreciation6/22/2011
  Q: The price of a ;arge piece of construction equipment purhcased by Hass Construction Company was ...
  A: Darrell~ The first thing you need to calculate is the total cost which will be the price of the ...
MATRICES USING MATLAB6/21/2011
  Q: i need some step by step method solving these as i havent come across these before, i normally use ...
  A: First you need to enter the matrix and then give it the command solve. You will want to name your ...
Probability6/21/2011
  Q: Sherry, How are you? I am unable to solve the following problems, can you please help me? --> ...
  A: Andrea~ The probability of obtaining a head when tossing afair coin is 1/2 and the probability of ...
MATRICES USING MATLAB6/17/2011
  Q: i need some step by step method solving these as i havent come across these before, i normally use ...
  A: John~ We can do this problem by hand using matrices. For every variable in each row we put the ...
SUSPENSION BRIDGES6/16/2011
  Q: The curve described by the cable of the suspension bridge is given by y=3hx^3/2L^2-(h/L)x+4h, where ...
  A: DP~ Yep the "=" is a typo and should be a "+". The final answer is in terms of the constants h and ...
SUSPENSION BRIDGES6/15/2011
  Q: The curve described by the cable of the suspension bridge is given by y=3hx^3/2L^2-(h/L)x+4h, where ...
  A: DP~ There are 3 basics curves that you get for a conic section depending on how you cut/slice ...
Maths Question needing help6/15/2011
  Q: what is the largest possible value of n (n is an odd number) if n consecutive positive numbers are ...
  A: I had to read this problem more carefully. You need to be clearer. Is it n consecutive positive ...
Functions6/14/2011
  Q: Find the next 3 terms of the following sequence and write the recursive formula. 7, 10, 17, 27, 44, ...
  A: What I do is look for a pattern, that is a relationship that fits all the numbers given. What I saw ...
Solving for Exponent Value6/11/2011
  Q: Trying to solve the following: (Solve for y) 101.6 = 6e^[(-o.10469)(0.5)]+ 6e^[(-0.10536)]+ ...
  A: Chris~ Your first two steps are fine. You make your fatal error when you don't divide both sides by ...
What Should I Know?6/11/2011
  Q: I am getting ready to go to the 11th grade this coming school year and am taking AP English, ...
  A: I can help you with what you will need to know for Trigonometry and Algebra 3, but you will need to ...
Parabola known focus and two points6/10/2011
  Q: I am designing a parabolic solar reflecting panel. I know two points and the focus, how can I ...
  A: It is not clear to me what information you really have. I understand in this particular instance ...
Burnside's Counting Theorem6/10/2011
  Q: I'm in the final week of this abstract algebra class and am stuck again, so I'm hoping you can ...
  A: I don't think your example warrants Burnside's Theorem because the answer to your problem is really ...
Functions6/9/2011
  Q: Suppose a bike wheel has a diameter of 70 cm and the rider completes one cycle in 0.8 s. What is ...
  A: Kerry~ What units are you to report your answer in? cm per sec? And are you allowed to leave pi as ...
trigonometry6/9/2011
  Q: Workers at a mine have dug a tunnel that is 110 feet long and forms an angle of 38 degrees with the ...
  A: Let * represent the degree symbol, opp represent opposite, hyp represent hypotenuse ...
patterns6/3/2011
  Q: "Hi Sherryif given a series of triangles composed of evenly spaced dots: . . . etc. ...
  A: Can you put the actual question in a file and attach it? What you have written does not make sense. ...
finding n5/30/2011
  Q: ((3*n + 1 = k**2) and (4*n + 1 = m**2)) implies n is divisible by 56 I can show that n is ...
  A: Helmut~ I see a couple of things I will need clarified. I am not certain what your asterisks (*) ...
Abstract Algebra5/27/2011
  Q: My question is: find the order of the element (1 2)(3 4 5) in S5. I'm struggling with how to find ...
  A: I want to add a couple of notes below my signature Nik~ The elements in S5 are composed of all ...
Hours of work.5/26/2011
  Q: 9.00am – 5.30pm no break 8.30am – 5.30pm no break 8.30am – 5.30pm no break 9.30am – 5.30pm no ...
  A: A~ 8.5 + 9 + 9 + 8 + 7 = 41.5 hours Here let me help you learn to do this by yourself. First use ...
math5/25/2011
  Q: If ∆PQR ≅ ∆MNS, which of the following is true? ∠P ≅ ∠N MN ...
  A: Chris~ When two triangles are equal corresponding sides and angles are congruent and equal in ...
Decimals5/20/2011
  Q: I have took a gap year and now I am struggling with a concept I used to breeze by. I vaguely ...
  A: Darina~ No I do not have any idea what you are referring to but I can make some observations: .35 + ...
Solving General Triangles and Calculating Area5/17/2011
  Q: 1. In triangle ABC, c = 10 and Ð A = Ð B = 40°. Find the length of the median to segment AC. ...
  A: I think you missed the purpose of this website. The purpose of this website is to help students ...
final grade5/16/2011
  Q: I'm wanting to plug in final exam scores into an equation to find my final grade in one class. My ...
  A: Katie~ If I understand you correctly, you have 96% but only 80% of your grade is calculated with ...
Unique solution5/15/2011
  Q: I have tried all my best to answer the question in the attachment. Please help. Thanks Aba
  A: The primary way to show anything is unique is to assume there is more than one (usually two) and ...
Algebra 25/12/2011
  Q: Simplify: 30 x^2 y^3/-6x^3y^2?
  A: Danielaa~ The easy part is to do the division of 30/-6 = -5 and since you have 2 factors of x in ...
Labeling triangles5/8/2011
  Q: I'm currently covering the law of sines and cosines. I'm understanding the algebra portin so far, ...
  A: Gene~ The ambiguous case comes from looking at any triangle and having know information of SSA, ...
Labeling triangles5/8/2011
  Q: I'm currently covering the law of sines and cosines. I'm understanding the algebra portin so far, ...
  A: Gene~ Just from your statement "...where the hypotenuse is..." tells me you don't understand what ...
average of random overlaps5/3/2011
  Q: I think I might have known how to do this once. Right now I can't wrap my head around it, though. ...
  A: Mac~ I've not heard of 'random overlaps' so I will approach this just from a probability stand ...
algebra5/2/2011
  Q: the numbers of elements of S5(the symmetric group of 5 letters ) which are their own inverse equals ...
  A: Geeta~ We can make the communication of this problem simpler by just defining A inverse as A^-1. ...
trying to work out what I get paid..5/2/2011
  Q: I am a contractor who gets $450+GST per day. But due to Easter I could only work 7 days so after ...
  A: J~ I am wondering if you just want to know the approximate take home pay or if you want to know how ...
algebra4/30/2011
  Q: the numbers of elements of S5(the symmetric group of 5 letters ) which are their own inverse equals ...
  A: Geeta~ First you need to know how many 2x2 matrices can be made up of the elements in Z3. Z3 = ...
algebra4/30/2011
  Q: the numbers of elements of S5(the symmetric group of 5 letters ) which are their own inverse equals ...
  A: Geeta~ The only elements that are inverses of themselves in S5 are those that are transpositions ...
algebra4/29/2011
  Q: the numbers of elements of S5(the symmetric group of 5 letters ) which are their own inverse equals ...
  A: Geeta~ How many 2-cycles are there in S5? First think of the elements as being (1,2,3,4,5) for ...
Probability4/29/2011
  Q: The probability of four people out of ten having a blue ticket at a charity ball is 0.2508. What is ...
  A: This is a binomial probability distribution problem, specifically a Bernoulli Trial. Recall P(x) = ...
College Algebra4/28/2011
  Q: 2log(x+5)=log27+log3
  A: Kristan~ There are probably a lot of ways to answer this question and here is just one way: ...
Roofing pitching ,Length of Hypotenuse using cos degrees4/27/2011
  Q: When working out rafter lengths in the building trade we are taught half span divided by cos degrees ...
  A: Joss~ Aha! Now I know what you want. There is a key on your calculator that either says cos^(-1) ...
Probability and Statistics4/26/2011
  Q: In one popular new restaurant, data was collected to determine the mean waiting time to be seated at ...
  A: Andrea~ More than one hour means the wait is greater than 60 min. The difference between 60 and 45 ...
Math-Proofs4/26/2011
  Q: Prove the following conjecture using each of the two methods introduced in this module -- ...
  A: Let p = 3m-n is even and q = m is odd and r = n is odd, then this proposition is If p & Q then r. ...
Probability and Statistics4/26/2011
  Q: In one popular new restaurant, data was collected to determine the mean waiting time to be seated at ...
  A: If the mean is 45 and the std dev is 12, then you want to know how many std dev 20 min is from 45. ...
non linear inequality4/25/2011
  Q: Solve the following nonlinear inequality: -3x^2-2x<=2x+4 Express the answer in interval ...
  A: Reemal~ The way the question is written there is no solution in the real numbers, thus there are no ...
Roofing pitching ,Length of Hypotenuse using cos degrees4/25/2011
  Q: When working out rafter lengths in the building trade we are taught half span divided by cos degrees ...
  A: I didn't answer your question because what you say does not make mathematical sense to me. Did you ...
Probability4/24/2011
  Q: A bowl of marbles contains 8 red marbles, 3 green marbles, 7 black marbles, and 9 blue marbles. What ...
  A: Andrea~ Find the total number of marbles: 8 +3 + 7 + 9 = 27 marbles with replacement makes the ...
Mathematical series4/23/2011
  Q: Do you know of any function that has a series (like a Taylor series) that begins: 1/r^2 - 1/2*r^3 ...
  A: Phillip~ Just based on what you gave me and not knowing for sure if the signs will alternate but ...
college algebra4/23/2011
  Q: true or false the product of two rational numbers is always a rational number
  A: Lucille~ Absolutely! Do you need to prove it? Here is the reason why: the smallest set of numbers ...
Probability4/22/2011
  Q: One tutor marking an extra credit assignment offered the following marks: ...
  A: Wow, I can tell you what the answer is because I just 'grunted' it out but you should be telling me ...
Probability4/22/2011
  Q: The probability of Clara going through a math class without laughing is 26%. What is the probability ...
  A: This is a binomial probability distribution problem, meaning Clara either laughs or she doesn't, ...
maths4/21/2011
  Q: 1a) with0ut using calculator or table, find the value of log3.6given that log2=0.3010,log3=0.4771 ...
  A: Samuel~ I can help you with part 'a' but part 'b' is not coming across making any sense, because ...
Complex Fractions4/19/2011
  Q: How is the answer determined for adding these two complex fractions? 2/(2/3) + 3/(1/5) If I divide ...
  A: Absolutely I did make a typo, good catch :) Ok say you want to add 2/7 + 4/11. You know your common ...
Complex Fractions4/18/2011
  Q: How is the answer determined for adding these two complex fractions? 2/(2/3) + 3/(1/5) If I divide ...
  A: how are you doing? It's been awhile since I'e answered a question for you. I will respond for your ...
Nonlinear inequality4/17/2011
  Q: Solve the following nonlinear inequality: -3x^2-2x<2x+4 its less then and equal to.. ...
  A: John~ The way the question is written there is no solution in the real numbers, thus there are no ...
parabola4/17/2011
  Q: Write the standard equation of the following: y=-4x^2+3x-2
  A: This seems to be in the standard form of a quadratic equation. The standard form of a 2nd degree ...
Nonlinear inequality4/17/2011
  Q: Solve the following nonlinear inequality: -3x^2-2x<2x+4 its less then and equal to.. ...
  A: John~ The way the question is written there is no solution in the real numbers, thus there are no ...
Arithematic4/16/2011
  Q: I read in a book that a number is divisible by 3 if sum of the digits is divisible by 3 . I dont ...
  A: Ok, try this: count by 3's:3,6,9,12,15,18,21,24,27,30. Notice that multiples of three can end in any ...
Math4/16/2011
  Q: A student walks 50m on a bearing of N25E and then 200m due east. How far is she from her starting ...
  A: Ade~ The starting point is at the origin of an x-y coordinate system. Being told that the bearing ...
Arithematic4/15/2011
  Q: I read in a book that a number is divisible by 3 if sum of the digits is divisible by 3 . I dont ...
  A: Abhinav~ First, what you read is true. Without knowing your mathematical background it is hard to ...
The Use of Probability4/13/2011
  Q: My math class has nearly finished our probability unit, and I honestly hate the subject. Why would ...
  A: I can think of a lot of reasons one might want to use probability in real life. For one, statistics ...
College Algebra/ Logarithms4/12/2011
  Q: Will you show or help me to re-write the expression ln((x+3)/xy) as a sum, difference,and/or ...
  A: You can take a quotient of logs such as log(a/b) and write it as a difference of logs, like log a - ...
differetiation:product and quotient rule4/11/2011
  Q: cos theta/1-sin theta
  A: What is the question? Are you wanting to take the first derivative of cos x/(1-sin x)? [I used x ...
quamtative analysis4/9/2011
  Q: 1. Calculate the mean, median and mode from the following data relating to production of a steel ...
  A: manoj~ Your list of data is not as clear as it could be. Since you have 5 measures in tons and 5 ...
math proof4/4/2011
  Q: Prove this proposition using contrapositive or contradiction. For all real numbers t, if t^2 is ...
  A: Heather~ I will do a proof for both ways using contrapositive and contradiction. contrapositive: ...
Properties of relations4/3/2011
  Q: Let A={a,b,c,d}. How many relations defined on A are reflexive, symmetric, and transitive and ...
  A: Xin~ Reflexive means aRa and in (a,b), (b,c), and (c,d) there are no reflexive. (You would need one ...
Math notation to say variable B affects A in a interval4/2/2011
  Q: Actually I have a simple question on maths notation. Informally speaking, I have a variable A that ...
  A: Fabricio~ You need to give me more explicit information. How is the variable B related to the ...
maths4/2/2011
  Q: 1)Using an appropriate double-angle formula ,expres cos(4theta)in terms of cos (2theta). Using your ...
  A: Elle~ I thought this was answered but I guess it is still not clear. What I am going to use as an ...
differential calculus3/27/2011
  Q: The minute hand of the clock is 4 in long. Starting from the moment when the hand is pointing ...
  A: Area of a sector = (1/2)r^2*theta where theta is measured in radians so we want DA/dt But we don't ...
Hours of work.3/24/2011
  Q: Just need help with my hours of work, i.e. total hours I worked. 8 - 5.30 with half hour break 8 - ...
  A: A~ If you are using 5.30 to mean 5:30 please state so, otherwise these numbers do not make any ...
Convergence3/22/2011
  Q: This was my reasoning using the comparison test: e^(2*sqrt(k))> k^(3/2) since "exponential growth ...
  A: Michael~ For part b, rather than decipher what you wrote I will answer the question the way I would ...
Convergence3/22/2011
  Q: This was my reasoning using the comparison test: e^(2*sqrt(k))> k^(3/2) since "exponential growth ...
  A: Michael~ I like your comparison, very good. Just make sure you show that you multiplied both sides ...
Series3/21/2011
  Q: Wallin how are you? I have to find if the following series converge: a) Sum from k=1 to k=inf of ...
  A: Michael~ My bad, you are right the series does tend to 1 and not 0 so my recommendation is for you ...
Series3/21/2011
  Q: Wallin how are you? I have to find if the following series converge: a) Sum from k=1 to k=inf of ...
  A: Michael~ I don't agree with your part c. As I read '2k choose k', this take 2k things and choose ...
Series3/21/2011
  Q: Wallin how are you? I have to find if the following series converge: a) Sum from k=1 to k=inf of ...
  A: Michael~ You have a_(k+1)/a_k=(((k+1)/k)^k)*(k+1) * e^(-2k+1) and it should be ...
maths3/16/2011
  Q: 1)Using an appropriate double-angle formula ,expres cos(4theta)in terms of cos (2theta). Using your ...
  A: Elle~ There are a couple of ways to interpret 'find the image of the function' and it really ...
maths3/16/2011
  Q: 1)Using an appropriate double-angle formula ,expres cos(4theta)in terms of cos (2theta). Using your ...
  A: Elle~ By image of the function, I assume you want the graph?? f(x) =-2x^2-12x -10 expanded and you ...
Hours of work.3/15/2011
  Q: I worked 7.3-5 7.3-5 8-5 8-5 8-5 This week with only a half hour lunch break each day. How many ...
  A: If all you took was .5hr luch break ou could subtract that off each difference or you could just ...
area under curve3/15/2011
  Q: Determine the area bounded between the line y = | x – 1 | and circle x2 + y2 = 5
  A: If you graph both in the first quadrant you will see that y = |x - 1| is 'above' x^2 + y^2 = 5 so ...
maths3/14/2011
  Q: 1)Using an appropriate double-angle formula ,expres cos(4theta)in terms of cos (2theta). Using your ...
  A: Elle~ First let's use x for theta so we have cos(4theta) = cos(4x) = cos[2(2x)] = 2cos^2(2x) - ...
trig3/14/2011
  Q: i have tried to work with this problem in order to understand how to solve such problem but I get ...
  A: Vidhi~ Ok, I read your problem and your comments and I want to ask you where is (-pi,pi)? -pi is ...
Hours.3/10/2011
  Q: Just wondering what the following hours add up to I don't think using a calculator in terms of time ...
  A: JJ~ Just add up the numbers and get 42.5 hours. Of course you know that .5 is a half hour but if ...
Trigo Proof3/6/2011
  Q: I have encountered a proving question on trigo as shown below; Prove 2cos36 = 1+2cos72. RHS; ...
  A: Are these the identities you were given? Usually identities and proofs are for arbitrary or general ...
Mathematics2/27/2011
  Q: Ms. Sherry Wallin, MathProf: Please review and critique: Given: in Positive Real numbers; ...
  A: I don't follow your first proof. How can you multiply each term by a different amount? If you want ...
Is there another way to solve this problem?2/26/2011
  Q: I created a method to solve this problem and many similar, more complicated problems as well but I ...
  A: I have no clue. There comes a point in your mathematical maturity where you feel confident that you ...
Is there another way to solve this problem?2/25/2011
  Q: I created a method to solve this problem and many similar, more complicated problems as well but I ...
  A: Samuel~ Before I invest any amount of time I would like for you to show me what method you used! ...
College Algebra2/23/2011
  Q: I am in College Algebra. I have a tutor for my class and do many practice problems, but I am still ...
  A: Briane~ You know what a linear equation looks like, right? And when that linear equation is in ...
discrete mathematics2/20/2011
  Q: I'm learning(trying to)how to do proofs. Can you work this example out for me, the book isn't much ...
  A: Paula~ Proofs are difficult and only come over a long time of reviewing, reading, and deciphering ...
Probability Question2/18/2011
  Q: after examining a collection of newspaper articles about politics, following joint probabilities ...
  A: Neelufar~ a) The probability of having economy is just the sum of the probabilities under economy ...
trigonometry equation2/16/2011
  Q: 6 tan^2 x – 2 cos^2 x = cos2x if cos2x = ? ANSWER: Vipul~ When x = pi/6 cos 2x = pi/3 and cos ...
  A: Vipul~ Start by moving cos 2x to the left getting 6 tan^2 x – 2 cos^2 x - cos2x = 0 Now change ...
fallacies2/16/2011
  Q: 0/0=undefined........ 0/0=(0*0)/0=(0/0)*0=0^0*0^1=0^(0+1)=0^1=0.....how??????
  A: Will~ I can try to answer this step by step: You are given that 0/0 is undefined and then there is ...
Maths-Circle2/15/2011
  Q: Show that the line x+2y-5=0 touches the circle x^2+y^2=5 and x^2+y^2+2x+4y-15=0 at the same point ...
  A: Dhananjay~ Take x+2y-5=0 and put the constant on the right hand side getting x+2y=5. You have ...
trigonometry equation2/14/2011
  Q: Sin^5 x – cos^5 x = 1/cosx – 1/sinx (sin x ≠ cos x )
  A: Vipul~ Please write out the complete question, it is not clear if you have an identity here or if ...
trigonometry equation2/13/2011
  Q: (1) If sin x = cos y, √6 sin y = tan z and 2 sin z = √3 cos x ; u, v, w denotes ...
  A: Vipul~ This is another one of those problems where you could go off the deep end searching for that ...
Maths-Determinant2/12/2011
  Q: Find the value of ' ' '-1 0 -1 ' ' ' ' 0 -1 -1 ' ' ...
  A: Dhananjay~ To find the determinant of a 3x3 matrix you need to choose whether you want to operate ...
trigonometry equation2/11/2011
  Q: FIND THE GENERAL SOLUTION OF THE EQUATION COS X COS 6X = −1 ANSWER: Vipul~ What level of ...
  A: Vipul~ You need to use trigonometric identities to get the angle 6x down to an angle of x. It would ...
trigonometry equation2/10/2011
  Q: FIND THE GENERAL SOLUTION OF THE EQUATION COS X COS 6X = −1
  A: Vipul~ What level of math is this from? Specifically, what course is this problem from? Is this ...
Advanced Functions2/8/2011
  Q: I need some help with this"Show the use of Pascal's triangle to expand (x+2)^4 by reproducing the ...
  A: TB~ Do you know what Pascal's Triangle looks like or how it is found? The first row is for (a+b)^0 ...
degree of expansion2/6/2011
  Q: I hope you can help me with this problem: Given: (x+1)to the power of 35 What is the degree of the ...
  A: Hmmm...how can I lead you to the answer without giving you the answer? What is (x+1)^1? x+1 -> ...
Trigonometry2/4/2011
  Q: A force vector F that points to the right and upward 37 degrees from the horizontal has a magnitude ...
  A: Sam~ Any vector can be written with x and y components, thus the force vector F can be written as ...
Direct & Inverse Variations2/4/2011
  Q: A varies jointly as R1 and R2 and inversely as the square of L. Determine a when R1=120, R2=8, L=5 ...
  A: Meisha~ The first variable mentioned that varies is always the dependent variable, that is by ...
Quantitative Analysis for Managerial Applications2/3/2011
  Q: The monthly incomes of a group of 10,000 persons were found to be normally distributed with mean ...
  A: Sayali~ Of the 10,000 persons the richest are the persons numbered 9751 - 10,000, so person 9751 ...
statistics2/2/2011
  Q: The values of a,b,c in a quadratic a x2 + b x + c = 0 is determined by throwing an ordinary die with ...
  A: Neal~ In order to find the probability that you will get real roots in the quadratic ax^2 + bx + c ...
value2/1/2011
  Q: what is the definition of value and what is the value of 4 in 229.4,4156,740,34?
  A: The definition of value is used as the place value of a number. The number 4 is used in several ...
Probability1/30/2011
  Q: A parent-teacher meeting was attended by 37 parents along with 26 high school students. A committee ...
  A: Andrea~ Let's see if we can use logic to answer this question. There are 26 students and each ...
Probability1/29/2011
  Q: Ms.Sherry, I have solved this question's answer. Can you please check my answer for whether that ...
  A: Andrea~ Your reasoning seems fine, the only thing I can see that needs to be fixed is the answer ...
Probability1/29/2011
  Q: Peter wrote a computer program that randomly printed the letters of the words given to it. The ...
  A: I am not sure I completely understand this question. This is the way I interpreted it: The computer ...
Probability1/28/2011
  Q: Grade 10 class playing badminton in the gym didn't clean up properly after they were done. When the ...
  A: Andrea~ If you want the probability of getting at least 1 plastic shuttlecock this means it could ...
Probability1/28/2011
  Q: Grade 10 class playing badminton in the gym didn't clean up properly after they were done. When the ...
  A: Andrea~ There are a total of 12+9 = 21 shuttlecocks in the bag. Let f = drawing a feathered ...
precalculus1/28/2011
  Q: P(x,y) is an arbitary point on the circle x squared + y squared=36 express the distance from P to ...
  A: Sarah Smith~ First, notice that (0,8) is NOT on the circle described by x^2+y^2 = 36. This is a ...
math1/25/2011
  Q: simplify: i times the square root of -98 minus the square root of 98 Write the fraction as a ...
  A: Suzy~ First things first: sqrt(-98) = i*sqrt(98) so we really have i^2*sqrt(98) - sqrt(98) = ...
Reincarnation1/20/2011
  Q: Is reincarnation a mathematical impossibility?
  A: Kristian~ In my humble opinion, I would say it is not a mathematical impossibility but this is not ...
Logs within Logs1/20/2011
  Q: My finals are coming up soon and there is one problem that throws me off a lot and its mostly ...
  A: Cam~ You are missing a parenthesis or you have too many parenthesis. Since you said it is a log ...
Functions College Algebra1/19/2011
  Q: If f(4)=0 and f(6)=6, which of the following could represent f(x)? a. 2/3x-4 b. x+2 c. x-4 d. 3/2x+6 ...
  A: Brittney~ f(4) = 0 is saying that you have an ordered pair of (4,0) and f(6) = 6 means there is an ...
finite math: linear programming the simplex method1/17/2011
  Q: DETERMINE WHETHER THE GIVEN SIMPLEX TABLEU IS IN FINAL FORM. IF SO, FIND THE SOLUTION TO THE ...
  A: Crama~ I am not sure what you mean by final form. Also, where is the objective function? Typically ...
word problem w/fractions1/15/2011
  Q: A receipe uses 6 cups of flour to 1 1/4 cups of milk. If you have 2 cups of flour, how much milk ...
  A: Sherry~ I see two ways to solve this problem. The first is an intuitive way. I am looking at the ...
calculus theory1/13/2011
  Q: Let f: [0,1] --> R be a differentiable function with a continuous derivative such that f(0)= f(1)= ...
  A: Tony Chu~ Hi Tony~ My bad, I misread the original problem, I thought it said that f'(0) = f'(1) = ...
I am so confused1/9/2011
  Q: I have this algebra question from my algebra class and can not figure it out. It is a demand ...
  A: these problems are usually linear equations and usually you are given enough information, like data ...
precalculus trig. verifying identites1/8/2011
  Q: would you please help me figure out how to verify tanƟ+cotƟ= 2csc2Ɵ ?
  A: Kim There are a couple of ways to approach this problem. Since 2csc2Ɵ is the 'more ...
COmparing the steepness of the growth curves!1/7/2011
  Q: Ms.Sherry, A Very Happy New Year! I have been given this data table and the graph and I am ...
  A: Andrea~ The curve that has the most change from the beginning to the end is one way to determine ...
simultaneous equations1/5/2011
  Q: Could you please help me in solving the following simultaneous equation with 3 variables. 0.5 x = ...
  A: Stephen~ The first thing you are going to want to do is simplify the existing equations. Both the ...
Alternative Simple Interest Calculation1/4/2011
  Q: Sherry: I have to send a new message since only three follow-up questions are allowed. Here is what ...
  A: "What is the purpose of the (1% for 360 days) in 644/360 X $7.20(1% for 360 days)= $12.88? The ...
Simple Interest1/3/2011
  Q: I read the following in a business mathematics book regarding the percent-day method for calculating ...
  A: If I ask you what 10% of 100 is you would tell me 10, correct? If I ask you what 1% of 100 is you ...
algebra and geometry12/30/2010
  Q: A=LW make (L)the subject. P=2L+2B make (L) the subject xoverw plus 5 equals 7 make (x) the ...
  A: John~ Sorry but I haven't got a clue what you want. What is a subject? This isn't typical ...
For a marathon, 24,000 liters of energy drink must be used. An energy drink contains 8 grams energy powder per 100 ml water. The energy drink contains a total of 1.25 kg. How many cans of energy drink must be used for the marathon?12/29/2010
  Q: For a marathon, 24,000 liters of energy drink must be used. An energy drink contains 8 grams energy ...
  A: Kristian~ There must be some missing information here. The reason I say this is that your statement ...
Find the solution algebraically12/29/2010
  Q: y=3x^2-2x-2 x+y=4
  A: Trisha~ One way to solve this system of equations is to solve each for one variable and it might as ...
Finding the roots by completing the square12/27/2010
  Q: 3x^2-6x+6=0 How do I find them? What are the roots to this equation?
  A: Sally~ First I would factor out the 3 because the coefficient on the squared term needs to be 1 ...
Maths-Permutation12/25/2010
  Q: While calculating Quartile deviation for indiviual observation we use the formula Q1=value of ...
  A: Dhananjay~ If you want to know how many days are left in say December and today is the 24th, how do ...
Exponential functions12/24/2010
  Q: Sherry, How are you? Good!? I am unable to understand one question from my textbook! It ...
  A: Xiang~ Do you know what y=3^x looks like? y=3^x passes through (0,1) because when x=0, y=3^0-> y = ...
Simple Interest12/19/2010
  Q: I read the following in a business mathematics book regarding the percent-day method for calculating ...
  A: You made one fatal mistake and that is when the author went from $720 to $7.20 he didn't multiply by ...
Simple Interest12/17/2010
  Q: I read the following in a business mathematics book regarding the percent-day method for calculating ...
  A: When you multiply by an interest rate by some number of days, call it n days, you have units of n ...
difference of quotients12/17/2010
  Q: please help me solve, step by step, f(x)= 20/x+15 in the form f(x+h)-f(x)/ h. thank you
  A: lexisha~ You need to write what you want properly. Do you mean (20/x) + 15? I doubt it, but yet, ...
Pre-Calculus12/15/2010
  Q: Set including solutions of multiple-angle equation in interval [0,2π) for equation sin 2x=1/2
  A: Ro~ There are a couple of ways to work this problem. One, you can ask yourself what angle for the ...
Tree Diagram12/14/2010
  Q: An Automobile Company required to analyze expense claims.Hence,it studied the major cities that its ...
  A: Andrea~ What I have been making for you are tree diagrams, so start a branch with major cities and ...
Combinatorics12/13/2010
  Q: Robert claims that he can always tell the difference between diet pop and regular pop.To test his ...
  A: Andrea~ It doesn't matter when in the sequence a certain order is found so think of it this way. ...
Logarithms12/13/2010
  Q: Sherry! I have this question,in which I am not able to move forward.Can you tell me what should ...
  A: Xiang~ This is what I would do: (1/2)log_3(144) - log_3(4) + 2log_3(3) = (1/2)log_3(12^2)-log_3(4) ...
question on derivitives12/12/2010
  Q: Recently, I've been fooling around with my ti-89 to figure out why x^(1/x) maximizes at e. I used ...
  A: Terrence~ I still am not sure what you are trying to find out. Perhaps you have typed it wrong? If ...
question on derivitives12/11/2010
  Q: Recently, I've been fooling around with my ti-89 to figure out why x^(1/x) maximizes at e. I used ...
  A: Terence~ Why doesn't what equal what? It is not clear what you are inquiring about. If you are ...
Pre-Calculus Final Review12/11/2010
  Q: last time I asked you a question you requested that I submit my work and answers for each problem, ...
  A: Page~ For #1: Graphing to find a point of intersection is the last thing you want to do. It only ...
Arithmetic Sequence12/10/2010
  Q: Could you please help me with this question? Q: The rth term of an arithmetic progression is 1+4r. ...
  A: Toon993~ The rth term can be considered the nth term so just replace the r with the n. The sum of n ...
question on derivitives12/10/2010
  Q: Recently, I've been fooling around with my ti-89 to figure out why x^(1/x) maximizes at e. I used ...
  A: I am trying to follow your argument and you did say you are taking the derivative of t^(1/x) with ...
Combinatorics12/9/2010
  Q: Letters in the word SPORT are arranged in the shape of a diamond.Starting from the top of the ...
  A: Attached you will find a way to track how many ways you could write sport moving diagonally down ...
Mathematical Induction12/8/2010
  Q: My problem is to prove the inequality (3n+20)<(3^n) for all n>=4. The Basis step is obviously easy ...
  A: Scott~ It is always a pleasure to answer a question like this. This is how I would do the problem. ...
sequences and series12/8/2010
  Q: Ms.Sherry, I am not at all able to understand what is the difference between recursive and ...
  A: Xiang~ The difference between recursive and explicit is, for example, with the geometric sequence ...
Pre-Calculus Final Review12/7/2010
  Q: Sherry, I have previously asked you a question and you helped me so much and explained each step in ...
  A: Please next time show me your work and answers. I don't typically give answers. 1) -1 add the real ...
Series12/6/2010
  Q: Sherry, Can you please teach me how to graph the values of Sk1-Sk2 ie, Sk1 = ...
  A: You can pretend sk1 is y and then plot points like you learned in beginning algebra: x | y(or ...
Combinatorics12/5/2010
  Q: I am given a sum in which,1)One child invited to the party is given 2 books as a thankyou gift.If ...
  A: Andrea~ The first question is the easiest, it is merely 15C2, that is you have 15 things that you ...
algebra 212/4/2010
  Q: Describe the system 6x-2=10 and 9x-3y=8 as consistent and independent, consistent and dependent, or ...
  A: Anthony~ 6x -2y = 10 solve for y: -2y = -6x + 10 => y = 3x -5 Recall the other equation in slope ...
algebra 212/4/2010
  Q: Describe the system 6x-2=10 and 9x-3y=8 as consistent and independent, consistent and dependent, or ...
  A: Anthony~ Consistent and independent means that there is one and only one solution, i.e., that the ...
Combinatorics12/4/2010
  Q: This is a combinatrics lesson sum.-A committee of atleast 2 people is chosen from a group of 8 ...
  A: Andrea~ Have we discussed Pascal's Triangle? 1 1 1 ...
Maths -Permutation and combination12/2/2010
  Q: 15)How many five digit numbers can be formed using the digit 0,1,2,3,4 and 5 which are divisible by ...
  A: Dhananjay~ Numbers that are divisible by 3 have an interesting characteristic and that is if you ...
Maths -Permutation and combination12/2/2010
  Q: How many even numbers greater than 300 can be formed with the digits 1,2,3,4,5 if the repetation of ...
  A: Dhananjay~ I will get you going on the thought process necessary to logically arrive at your ...
number theory12/1/2010
  Q: Expert Sherry Wallin: Please confirm the following statements are true in Real numbers when x,y,z ...
  A: I'm not sure what your question is. Did you want me to confirm or deny your proof? I will make ...
number theory12/1/2010
  Q: Expert Sherry Wallin: Please confirm the following statements are true in Real numbers when x,y,z ...
  A: Lee~ Part a is true. Consider Pythagoreans Theorem. Given any hypotenuse, c, square it, c^2, there ...
5 trigonomic functions12/1/2010
  Q: I'm confused as to how to find out what quadrant it is in if the problem given is secA= 6/5 , tanA < ...
  A: The sec A is 1/cos A, correct? Where is the cos A negative? Wherever x is negative, in QII and QIII. ...
sequences and series11/30/2010
  Q: Miss Sherry, Thank god you arent maxed out right now! I typed in one Question to Mervyn ...
  A: If I am interpreting this correctly then you have the original price call it a. Then at the end of ...
Logarithms11/30/2010
  Q: For the equation log y = log(0.5x-3) + log2,state the domain.Then express y as a function of x. ...
  A: Andrea~ The domain of the log function is that the log x, where x is greater than 0. In your ...
Maths-Permutation and combination11/29/2010
  Q: Find n if [n!/3!(n-5)!]:[n!/5!(n-7)!]= 1:6 ANSWER: Dhananjay~ Are the (n-5)! and the (n-7)! in ...
  A: Dhananjay~ [n!/[3!(n-5)!)]/[n!/(5!(n-7)!)]) = 1/6 the n! cancel with each other and (n-5)! = ...
Logarithms11/28/2010
  Q: Solve log_5(x-4)= log_7(x) for x.Round your answer to 4 decimal places. ...
  A: Most calculators will only give answers in base 10 or in base e (ln x) but yes you can put it in any ...
Maths-Permutation and combination11/28/2010
  Q: Find n if [n!/3!(n-5)!]:[n!/5!(n-7)!]= 1:6
  A: Dhananjay~ Are the (n-5)! and the (n-7)! in the denominators or the numerators? If they are in the ...
Logarithms11/28/2010
  Q: Solve log_5(x-4)= log_7(x) for x.Round your answer to 4 decimal places. ...
  A: Andrea~ The first thing to do is to use the change of base formula and get all the logs in the same ...
Trig11/26/2010
  Q: Can you please help me. Please! Can you please help me. Solve 4sin(square)A + 1 = sin(square)A + ...
  A: The sin θ at 0 deg is 0 and then at 90 deg is 1 and at 180 deg is 0 again and at 270 deg is -1 ...
hi11/25/2010
  Q: given 3 lines in the plane such that points of intersection form a trianlge with sides 20, 20,20. ...
  A: Sumathi~ There is only one point and it is inside the triangle. Take the triangle and drop a ...
Sequences and Series11/25/2010
  Q: Miss Sherry, I am sorry for disturbance,but you told "When I did the sum I got 5.4661 ...
  A: Xiang~ It is a good idea to enclose any fraction in parentheses. In this case because the fraction ...
Msc in Maths11/24/2010
  Q: I am Ravi from India. I did my B.Tech in Indian Institute of Technology(IIT) in Biotechnology ...
  A: Ravi Shankar V~ The only school I know of that you can study mathematics rigorously online is Texas ...
Sequences and Series11/24/2010
  Q: Miss Sherry, How are you? I have the following question and it's answer I have uploaded in ...
  A: Xiang~ Here are a few observations I made: In the first problem you say that r = pi/10 but you ...
Maths -Permutation and combination11/23/2010
  Q: (n+3)!=110(n+1)! Find the value of n ,where n! is n factorial
  A: The interesting thing about factorials is that you can find immense cancellation. For example 5!/3! ...
Combinatorics11/23/2010
  Q: Irena was born on june 23,1978(written 23/06/78 on her driver's licence). Therefore,the numbers she ...
  A: Andrea~ With repetition means that she could have xxxx, so there are 6 choices for the 1st number, ...
Sequences and Series11/22/2010
  Q: Clara started a new job.Her starting gross monthly salary is $3200.Each year,on the anniversary of ...
  A: You will need to take the (n-1)th root on both sides, not! just kidding! Take the natural log of ...
Sequences and Series11/22/2010
  Q: Clara started a new job.Her starting gross monthly salary is $3200.Each year,on the anniversary of ...
  A: Xiang~ This fits the binomial expansion for (a+b)^n where a = 1. Let's look at what you have: A ...
Sequences and Series11/22/2010
  Q: Martina entered a function into her calculator and found the following partial sums: Sn where n is ...
  A: Xiang~ Examine a pattern. I noticed that S2 = 5*S1 and that S3 = 5*S2 and that S4 = 5*S3 etc. So ...
Trigonometry(Coterminal angles)11/21/2010
  Q: Explain the reason,why -5pi/9 and 5pi/9 are not coterminal angles. Dear Ms.Sherry, So, my textbook ...
  A: If they differ means you add/subtract a multiple of 2pi to your angle. In your case this is: -5pi/9 ...
Trig11/20/2010
  Q: Can you please help me. Please! Can you please help me. Solve 4sin(square)A + 1 = sin(square)A + ...
  A: Kamla~ There are a number of ways to do this kind of problem. One is to use substitution so that it ...
reduction formula11/19/2010
  Q: i have been given the reduction formula Fn(s) =nF(n-1)(s)/s and i need to find an expression using ...
  A: Jason~ Let's start by making some rules for clearly stating the problem. When you want to say "ef ...
probability question11/18/2010
  Q: the probability that a person selected at random from a population will exhibit the classic symptom ...
  A: Jaspreet~ Let A be the event that a person demonstrates the classic symptom Let B be the event that ...
Expanding a problem11/14/2010
  Q: I am having difficulty with this problem. (2x-5y)^6
  A: Jillian~ There are a couple of ways to expand this and several different methods. I am not sure ...
macroeconomics11/9/2010
  Q: In the assignment I need to calculate the growth rate from current year to years in the future. It ...
  A: Greg~ I'm not sure what you are doing but I will try to explain how you should be interpreting the ...
Finding identity and inverse of group operation11/8/2010
  Q: I am trying to show that the below operation is a group. I have showed that it is closure and ...
  A: Raymond~ First you must have an identity in order to have an inverse. So let x be in G so that x*e ...
Precalculus11/6/2010
  Q: A car's rear windshield wiper rotates 130°. The total length of the wiper mechanism is 25 inches and ...
  A: Kristin~ Here is a revised answer Here is the answer to your questions with a drawing labeled and ...
trigonometry problem11/5/2010
  Q: I have been frying my brain trying to figure this equation. verify that: (cos(x)/2 - sin(x)/2)^2 = ...
  A: Adam~ Maybe the statement is not true if you can't "figure it out". You always want to believe ...
geometry11/4/2010
  Q: Is "12*12=144 and 21*21=441,13*13=169 and 31*31=961,103*103=10609 and 301*301=90601, 112*112=12544 ...
  A: Domingo~ What is your definition of conjecture? Here is just one definition I found by googling: ...
fractions11/4/2010
  Q: attached is a scanned copy of my math equation. thank you
  A: Lisa~ I can barely see your scan! To multiply two mixed numbers without making them into improper ...
Binomial Theorem applied to complex numbers11/3/2010
  Q: I am having an issue using the binomial theorem to expand and simplify this complex number. I have ...
  A: Page~ Here is the solution using the binomial theorem. The binomial theorem says: 4C0*2^4*(-i)^0 ...
complex numbers11/2/2010
  Q: What would the graph look like for (3+2i)-(-7+5i)? Also for (3+i)(-3-4i)? ANSWER: Elizabeth~ ...
  A: Elizabeth~ For the problem I answered above the geometric representation is the point (10,-3). For ...
linear equations11/1/2010
  Q: What volume, in millilitres, of a 60% hydrochloric acid solution must be added to a 100 ml of a 30% ...
  A: Shelly~ This is a problem in the category of rate, just like d = rt and you set it up in a similar ...
Math10/30/2010
  Q: We badly need you help for our math exploratory project the given is (17^21)/7 we need to formulate ...
  A: Jade~ I am not sure what the goal is here but 17 is a prime number as well as 7 and 21 is composed ...
Abstract Algebra10/28/2010
  Q: I was given a question as below which I do not understand what does it mean and need your help to ...
  A: Raymond I need to know if your notation is saying the quotient group Z2[x]/<x^3 + x^2 + 1>? Then you ...
word problem10/26/2010
  Q: I have a word problem but I don't know if I'm correct. A king took 1/6 of the apples from a pile The ...
  A: Sabrina~ Let x = the number of apples, so the king did take (1/6)x [notice the use of parentheses). ...
Homework10/25/2010
  Q: I need to do some homework quickly - Can you please help? It starts like this ... 2 arches (like ...
  A: Dianne~ The first thing you will need to do is write an equation that describes the arches. The ...
math10/24/2010
  Q: A teacher needs 6 craft sticks for each student in a class for a project which algebraic expression ...
  A: Anita~ If s = the number of students and you need 6 craft students for each student then 6s equals ...
Would truly appreciate your help with these questions!10/21/2010
  Q: There are three questions that I would really appreciate help with: 1. 2^x - 2^(x-2) = 3(2^13) ...
  A: Christine~ Factor #1: 2^x - 2^(x-2) = 3(2^13) 2^(x-2)[2^2-1] = 3(2^13) 2^(x-2) (4-1) = 3(2^13) ...
math10/20/2010
  Q: I'm trying to find the function table rule where x=4,5,6,7,8,9 and y =24,31,38,45,52,59. can you ...
  A: Randi~ If the function is linear then these are ordered pairs and all you have to do is find the ...
scentific notation10/18/2010
  Q: 1/wxz = 2/y w=4 x 10^-5, y = 7 x 10^-6, z= pi x 10^8
  A: I m assuming you want your answer equal to x since you don't have an explicit value for x, so the ...
Abstract Algebra10/15/2010
  Q: Can you clear my doubts on the following questions which I do not understand. I cannot figure out ...
  A: Raymond~ *I cannot figure out why when we map f:real number to M(R) given by f(r)=Matrix [0 0, -r ...
proofs10/14/2010
  Q: Prove: For every x with 1 lessthatn or equal to x less than or equal to 4, x^2-5x+4 is less than or ...
  A: Sarah~ There's not much to prove here since there are only 4 instances to consider so just plug ...
Revised question from last time10/13/2010
  Q: Suppose you deposit $400 in an account that earns 0.75 percent each quarter. You make no withdrawals ...
  A: SallyJane~ I = Prt => P + I = P + Prt will be the accumulated amount Where I stands for interest, ...
precalculcus10/12/2010
  Q: (x-6)^2+8 need how to get x-intercepts ANSWER: Larry~ x-intercepts always occur where y = 0 so set ...
  A: (x-6)^2 = (x-6)(x-6) = x^2-12x+36 now add 8 getting x^2-12x+44 and set it equal to 0: x^2-12x+44 = 0 ...
Math10/12/2010
  Q: The approximate distance it takes to stop a car, based on the speed the car is traveling, is given ...
  A: Sally Jane~ The first thing you need to do is determine which variable depends on the other. The ...
Functions10/10/2010
  Q: How do I find the function that describes the path of a mark on a bicycle wheel that has a radius of ...
  A: On a circle with a radius of 2 you have x^2 + y^2 = 2^2 => that means that with x = cos t and y = ...
Functions10/10/2010
  Q: How do I find the function that describes the path of a mark on a bicycle wheel that has a radius of ...
  A: Megan~ Think of the mark on the bicycle wheel as being on the circumference of a circle. This ...
proportions10/10/2010
  Q: solve for x. t/y=x/w & R/x = F/T
  A: Joel~ For the first one, t/y = x/w ask yourself where is x and how can I get x by itself? Then ...
Advanced Math10/8/2010
  Q: 6x^3+mx^2+nx-5 has a factor of x+1. When divided by x-1, it has remainder of -4. What are the ...
  A: Mike~ First let me tell you I never received an email with this question. I was out on the website ...
algebra10/7/2010
  Q: solve the equation 4ax+by=11ab 8ax-5by=ab here are the choices a x=3a,y = 2b b x=2b,y =3a c x=3 b,y ...
  A: Jamiah~ Are you looking for a method to solve these or just for the answer that works? If you are ...
MS-08: Quantitative Analysis for Managerial Applications10/6/2010
  Q: 3. From a set of 1000 observations known to be normally distributed, the mean is 534 cm and SD is ...
  A: Shankar~ I answered this in a previous post but I have cut and pasted it here for you. One ...
linear algebra10/5/2010
  Q: Dudley is a health-conscious student whose diet consists entirely of fried chicken, pizza and ...
  A: Julie~ It is impossible to get the proper nutrition, i.e., the balanced diet eating any combination ...
mathematical symbols10/2/2010
  Q: Rewrite the following using mathematical symbols: a. Q is equal to the set whose elements are a, b, ...
  A: Edward~ Q = {a,b,c} {1,3} not a subset of {1,4,3, 7} b = c 0 is not an element of { } Math Prof I ...
Precalculus10/1/2010
  Q: A rancher with 600 ft of fencing wants to enclose a rectangular area and then divide it into four ...
  A: Kristin~ You either have 2l + 5w = 600 or 2w + 5l = 600. You are limited in the amount of material ...
Pre Calculus9/30/2010
  Q: A real life example of a polynomial function
  A: dianalaura~ A cost, revenue, and profit function would amply satisfy this question. Let P(x) be the ...
fith grade math9/29/2010
  Q: I have not done math in so long. Can you explain How to make a histogram of data using intervals ...
  A: Lynn~ Histograms are like bar graphs. So for the first bar it would run from 0 to 100, the 2nd bar ...
Algebra9/28/2010
  Q: I can't figure this out. Could you be of some help? a is proportional to b. If a = 1/4 when b = 2, ...
  A: Nate~ a is proportional to b means that you have a ratio of a1 to b1 equal to a ratio of a2 to b2 ...
math9/27/2010
  Q: what is the rule of negative powers
  A: Osama~ You bring the factor from the denominator that has the negative exponent uo into the ...
matrix word problem9/22/2010
  Q: a theatre has a seating capacity of 900 and charges $4 for children, $6 for students, and $8 for ...
  A: Monica~ One of the first things you will want to do is define your variables: Let x = # of ...
question9/18/2010
  Q: Question From a set of 1000 observations known to be normally distributed, the mean is 534 cm and SD ...
  A: Rehana~ I answered this exact question earlier in September. This is just a copy and paste. Is this ...
Graph9/18/2010
  Q: Sketch the curve for y=|(x^2)-6|x||
  A: I can't sketch the graph for you (this site doesn't have a drawing tool) but I can tell you how to ...
Algebra9/13/2010
  Q: For an art project, you make a square print with a side length of 8 inches. You make a frame using ...
  A: Stacia~ This is your typical area of the larger (frame plus picture) minus the area of the smaller ...
Abstract Algebra9/10/2010
  Q: I am facing difficulties on the topics in Rings. Can you help me to solve the following question and ...
  A: Raymond~ Ask yourself what is a unit? By definition if R is a ring with unity, the elements in R ...
theory of numbers9/9/2010
  Q: How to prove that an irrational number raised the power of an irrational number results in a ...
  A: Suraj~ No, not all irrational numbers raised to irrational powers will be rational. In the case of ...
theory of numbers9/9/2010
  Q: How to prove that an irrational number raised the power of an irrational number results in a ...
  A: Suraj~ I answered your original question as if you wanted to prove that any (every, all) irrational ...
Algebra questions9/9/2010
  Q: If Rowan can mix 20 drinks in 5 minutes, Karen can mix 20 drinks in 10 minutes, and Amber can mix ...
  A: Rini~ t = time it takes for all 3 people working together to mix 20 drinks w = rt where w is a ...
Confused9/8/2010
  Q: I have tried to figure out these examples and I can't can you show me please. Compute and simplify ...
  A: Jason~ I will work the first one out for you explaining each part: 4^-1 is the same as 1/4^1. ...
algebra9/5/2010
  Q: given the linear system 2x-y=3 ax+by=6 find value of a and b such that the resulting system has a) a ...
  A: unique~ First let me apologize for taking this long to respond I haven't been near a computer but I ...
Standard Deviation9/2/2010
  Q: From a set of 1000 observations known to be normally distributed, the mean is 534 cm and SD is 13.5 ...
  A: Naresh~ One standard deviation will encompass the values between 520.5 and 547.5. Two standard ...
what is the value of a9/1/2010
  Q: the area of a trapezoid is A=(a+b)hdivided by 2 ifA=300,h=5andb=30 what is the value of a
  A: Oscar~ All you have to do is out in the numbers for each of the letters. Just put in A = 300 for ...
algebra8/31/2010
  Q: How do i make a function table. f(X)=-x+2 f(1)=-1+2 ...
  A: Kylee~ It is unclear if you have a piece wise function or if you are just showing me the functions ...
advanced algebra8/31/2010
  Q: How do I do domain, range and function from a graph?
  A: Martin~ I will need more information to answer this question. What graph are you referring to? The ...
URGENT PreCalc Plumbing Problem8/30/2010
  Q: I need a really fast answer (by tomorrow) for this problem: A water pipe of fixed length L has a ...
  A: Maria~ I am not sure what diagram you are referring to but here is how you would show f(1/4 D) = ...
Military Time8/29/2010
  Q: My business uses Military time for payroll. On occasion, staff will forget to clock out and I will ...
  A: Anna~ I answered this question but it must have gone to La La land. So here we go again: If the ...
factoring.8/24/2010
  Q: (x^3-4x^2+x+6)/ (x+1)
  A: Kayla~ What is the question?? I can assume you need to factor the top and see if there is a factor ...
math8/23/2010
  Q: 42 is divisible by which of the following numbers 14,8,5,9
  A: Eric~ There are a lot of ways to answer this question. Just one of the many ways is to prime ...
probability8/22/2010
  Q: Here is a few questions I cant answer and very confused on 1. Two numbers are randomly selected ...
  A: Jennifer~ Always start with one or two questions and show what work you have tried if you want an ...
math8/21/2010
  Q: which equation means that 7 less than twice a number is -1
  A: antoine~ First you need to give a 'name' to the unknown which in this case is 'a number' so let's ...
Mathemarics Engineering8/19/2010
  Q: Can You please help me A complex signal encoder sends signals through the radio waves in the form of ...
  A: Joe, I will try to answer your question. I don't know much about radio waves but I do know how to ...
Probability problem8/19/2010
  Q: Below is the problem of probability,a request for solution Q. Two Vaccum cleaner Sales man A & B ...
  A: N = no sale Y = sale Call A sells two cleaners event C The sample space is: NN = .6(.6) = .36 NY = ...
Math8/18/2010
  Q: In advance thank you for answering my question. here my problem:If a car travels 5 and one half ...
  A: Guy~ If you want to know what 5.5mi/6min is, that can be figured out, however you can get a ball ...
Combinations8/18/2010
  Q: a student has to answer 10 questions, choosing at least 4 from each of part A and part B. If there ...
  A: Nithin~ The only sums of 10 that fit the criteria are 4 + 6, 5 + 5, 6 + 4 You can think of the sums ...
Math8/18/2010
  Q: In advance thank you for answering my question. here my problem:If a car travels 5 and one half ...
  A: Guy~ There are a number of ways to deal with this kind of problem but the easiest (I think) is to ...
multivariable limits8/17/2010
  Q: i have a multivariable limit that im quite stumped on its f(x,y) = (y-x)*ln(x^2 + y^2), lim f(x,y) ...
  A: Jaime~ To use L'Hopital's Rule in an indeterminant form you need to make it 0/0 as the limit ...
Geometry help8/15/2010
  Q: I hope you can help me solve these problems: I am supposed to describe in words the locus that ...
  A: Sara~ The first thing you need to know if what a locus is. It is just a location. A more specific ...
Simplifying fractions and canceling8/14/2010
  Q: How do I simplify the fraction 4x/4x+8? I thought that the 4x in top and bottom would cancel out but ...
  A: Emily~ First things first. Write 4x/(4x+8). The way you have it written says something entirely ...
how to attempt a problem8/13/2010
  Q: I want to know the method of solving this problem instead of using a calculator. question- Find the ...
  A: Karan~ This is a Chinese Remainder Theorem question. Typically the modulus's need to be coprime but ...
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: Sara~ If you have an isosceles triangle then you have two congruent triangles. Please see the ...
square o symbol8/11/2010
  Q: I have some problems to calculate with a square in the formula. Can you explain it's purpose? I ...
  A: Mike~ I am not sure what you mean by the square symbol? Are you saying the square root? Or are you ...
Finding a Rule From a Function8/10/2010
  Q: x=-2, -1, 0, 1 y=-7, -4, -1, 2
  A: Anytime you have x and y values, make them ordered pairs and then find the slope and then write the ...
Minimun # of Elements8/7/2010
  Q: Suppose A ⊆ B. a. What is the minimum number of elements in set A? b. Is it possible for set B ...
  A: Lisa~ The empty set, denoted by ∅, is also a subset of any given set X. (This statement is ...
Algebra8/5/2010
  Q: When solving a radical equation, how do we use the principle of powers to eliminate radicals?
  A: Tuwana~ What is the 'principle of powers'? I will be making an assumption that what you mean is if ...
statistic8/4/2010
  Q: From a set of 1000 observations known to be normally distributed, the mean is 534 cm and SD is 13.5 ...
  A: What do you know about statistics? It is hard for me to help you with a question if you don't show ...
algebraic methods8/3/2010
  Q: Are there infinite solutions to this problem or no solution at all? -3x-2y=2 -4y=4+6x
  A: Ty~ It would be helpful if you would tell me what level of math you are doing and what you already ...
Calculus8/3/2010
  Q: Intersection of curves a. Does cos 3x ever equal x? Give reasons for your answers. b. Use Newton's ...
  A: Ashley~ Google Newton's method. Math Prof
Math8/2/2010
  Q: evaluate: limit (90-x)secx x->90 can i have the answer for this problem?
  A: liyah~ Have you heard of L'Hopital's Rule? You will have to use it because you have the case where ...
permutations/group theory7/31/2010
  Q: look at wikipedia, burnside's lemma. look at the blue bullet points. i can follow the argument but i ...
  A: Tony~ Ok I think I see where you need some clarification now... You can still picture that cube ...
permutations/group theory7/30/2010
  Q: look at wikipedia, burnside's lemma. look at the blue bullet points. i can follow the argument but i ...
  A: I'm not quite sure what it is you want to know. Is it how there are 3 cubed ways to rotate 90 ...
Trigonmetry7/29/2010
  Q: Given that sinα = 4/5, 0 <α<π/2 and sinβ = 5/13, π/2<β<π find the ...
  A: Kevin~ Since the sina is 4/5 and in the first quadrant that means cosa will be positive and using ...
hello7/29/2010
  Q: i have a problem answering this series: 1,2,6,42,1806,___ can you help me find the next series and ...
  A: This is a sequence of numbers. If you look closely for a pattern you will see that the first number ...
Incline7/28/2010
  Q: I'm getting ready to run my first half marathon and there is a 125 ft climb over 1/2 mile. How do I ...
  A: Sara~ You will first need to change 1/2 mile into feet. There are 5280 feet in 1 mile so there ...
polar equation7/28/2010
  Q: What geometric figure results from the following polar equation? Give the rectangular form of the ...
  A: Travis~ In polar coordinates r sin theta is just the y coordinate and r cos theta is the x ...
Trigonometry7/27/2010
  Q: The irregular plot of land shown in the figure below (not drawn to scale) is being sold for $100 per ...
  A: Kevin~ First, I am so sorry for the late reply. I couldn't do this problem justice without ...
Answer Check7/27/2010
  Q: 16. Write the equation in logarithmic form: 3Ö e = 1.40 ln 1/3 = 1.40 1.40 ln = 1/3 ln 1.40 = ...
  A: Victoria~ I can't follow your symbolism. What is Ö? Also, for example, #19 it is true that the ln ...
Equations systems7/26/2010
  Q: I have 2 question regarding equations systems solutions 1 - Solve each system by the addition ...
  A: Khalid~ What are the questions? These are problems to be worked out and I don't have a clue ...
Differentiability7/22/2010
  Q: I was confused by this problem; I know the function |X-1|(absolute Value) is not differentiable at ...
  A: Michael~ The absolute value function is really a piecewise function: f(x) = |x - 1| is the same as ...
Algebra7/21/2010
  Q: Explain why 5/√2 is not simplified and demonstrate the steps we must take to simplify it.
  A: Tuwana~ The reason 5/√2 is not simplified is because you are not allowed to leave a radical ...
maths7/21/2010
  Q: express area of circle as function of its circumference
  A: nisarg~ The area of a circle is pi*r^2 and the circumference of a circle is 2*pi*r. What level ...
math7/19/2010
  Q: what is 25% of $100
  A: Tanora~ The first thing you will need to get use to is that 25% is 1/4 or in words one-quarter ...
Hello7/17/2010
  Q: Good day to you. I have three questions, is it possible to answer them for me. Q1: Write an ...
  A: For #1 I don't see a figure? #2: let x = selling price so the commission is .10x = .1x ...
algebra 17/14/2010
  Q: Divide 3a^4 - a^3b - 15a^2b^2 +11ab^3 - 2b^4 by a^2 + 2ab - b^2
  A: Do you know how to use polynomial long division? What about synthetic division? Synthetic division ...
Gas Mileage7/13/2010
  Q: How much should charge my boss for gas mileage? I'm interning for free and she's offering me to pay ...
  A: Katherine~ I don't know what state you reside in but in California the state pays about $.42 a ...
1/x = x-17/12/2010
  Q: If 1/x = x - 1 what is x (or some possible values for x?)
  A: Rami~ You need to solve for x: x(1/x) = x(x-1)-> 1 = x^2 - x -> 0 = x^2 - x - 1 since it ...
Complex numbers7/11/2010
  Q: Please can you help me to solve the following for Z: 1/Zt = (2/2+4i)-(1/1+5i)+(3/4+6i) t is just a ...
  A: Jaime~ For starters, 2/2 is 1 as well as 1/1 is 1 so the real part on the right is just 3/4. ...
Trig Identities7/10/2010
  Q: I have a very difficult problem I am trying to solve and keep hitting a brick wall. If you can tell ...
  A: JanaLee~ Were you told to prove the identity or were you just suppose to find the value of ...
Angle of elevation7/8/2010
  Q: For the question below, I am looking for the formula on how to set the problem up and solve. Thanks! ...
  A: x/140 = tan 48 deg, how do you get x by itself? What is attached to x? 140 and how is 140 attached ...
Angle of elevation7/8/2010
  Q: For the question below, I am looking for the formula on how to set the problem up and solve. Thanks! ...
  A: Courtney~ The angle of elevation is just the angle you would look at if you were measuring from ...
modulus function7/7/2010
  Q: Sir, can u pl explain me modulus function
  A: ADITYA~ The modulus function can be looked at in a number of ways. For the most part people ...
vector math problem7/2/2010
  Q: can you help to solve this problem..??? can you answer this before july 5,2010? Draw the ...
  A: Maricom~ I can't draw the vector for you but I can describe what it will look like on an xy ...
values of the three variables7/1/2010
  Q: How can I get the values of the three variables? 4a + 2b + c = 41 25a - 5b + c = 20 4a - b = 0 ...
  A: This is just a system of 3 equations and 3 unknowns. You probably have solved these through ...
About cycles in graphs7/1/2010
  Q: 3 questions: 1) is ALWAYS true which a hamiltonian cycle with a odd number of vertices has a odd ...
  A: Manuel~ Since the number of vertices is an odd number let the number of vertices be 2n-1. This ...
hi6/30/2010
  Q: can you teach me if how to complete the area of the triangle.
  A: Marijhel~ Please help clarify what you mean by complete the area of a triangle. Do you mean ...
Chinese Remainder Theorem6/29/2010
  Q: I've been searched and thinked a lot about this theorm (Chinese Remainder Theorem) but I can't ...
  A: If you have 9 cong 3 mod 3 this translates as 3|9 (here I am using | for the concept of divides) ...
Chinese Remainder Theorem6/29/2010
  Q: I've been searched and thinked a lot about this theorm (Chinese Remainder Theorem) but I can't ...
  A: I'm not sure what your question is here. 1 cong 1 mod 1 isn't very useful since any integer is ...
Trigonometry help6/29/2010
  Q: my name is Brianna and I'm needing advice on a math class I'm starting tomorrow. As far as I can ...
  A: Brianna~ Wow what a mouthful. I am actually teaching a Trigonometry course this fall and I ...
About eulerian/hamiltonian walks/cycles6/28/2010
  Q: I just sent you a question about Chinese Remainder Theorem:I'm reading the answer and then I'll ...
  A: Manuel~ First off you say that an Eulerian path means each vertex is distinct but an ...
Chinese Remainder Theorem6/24/2010
  Q: I've been searched and thinked a lot about this theorm (Chinese Remainder Theorem) but I can't ...
  A: Manuel, help me out here please. What do you mean by 'ig'? Also provide me with a specific problem ...
equivalance relation6/23/2010
  Q: if A={a,b,c} then the relation on A X A R={(a,a),(b,b),(c,c)} is equvalance relation. sherry ...
  A: In order to be an equivalence relation three properties have to be satisfied: reflexive, symmetric, ...
radical equations6/22/2010
  Q: y^2/3 + 9y^1/3 + 8=0
  A: Kani~ I am assuming you want(y^2)/3 + (9y)/3 + 8 = 0 by the way you have written the problem but ...
math6/21/2010
  Q: 3y+xy=2x+1
  A: What is the question? Are you suppose to solve for x or y? Are you doing implicit differentiation?? ...
Sets,relations and functions6/18/2010
  Q: given A=(2,3,5,7),B=(1,12,13,15) How many elements are there in A cross B and B cross A.Is A croos B ...
  A: I am assuming you want to find the Cartesian Cross Product and if so, then you are looking for the ...
explanations6/13/2010
  Q: Please, explain in brief in the following questions. ...
  A: maybe correlation variance?? You need to show me how you are obtaining your answer for the sample ...
explanations6/12/2010
  Q: Please, explain in brief in the following questions. ...
  A: Yankgun~ A. add up the numbers and divide by the number of elements B. The variance is found by a ...
add-on explanations6/12/2010
  Q: Please, explain in brief so that I can understand how come the answers are 117.5 / 6 / 10.25, ...
  A: Yankgun~ For number one without seeing the distribution I can't tell you why the upper class ...
Hello, Need Geometry Help ASAP!6/11/2010
  Q: I've had a problem that has completely baffled my mind over the past few days, and I would like to ...
  A: Charles, have you made an error in your image? You have x^2 x 10, did you mean x^2 + 10?? Math Prof ...
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: x is the geometric mean of 4 and 16. Sometimes the geometric mean is called the mean proportional. ...
length calculation6/8/2010
  Q: I need to calculate the length of bobbin. A paper of thickness 0.038mm is winded over a core of ...
  A: Kaleem~ If I understand you correctly you just want to know the length of the material that is ...
Geometry6/7/2010
  Q: How many circles of a same diameter can be fitted in a rectangle Please provide a simple formula ...
  A: Interesting speculations...If you wanted to put in a row of drums and get let's say 4 across each ...
request6/7/2010
  Q: sherry wallin sir. I am always confusion about the one to one crosspoundece function and what is the ...
  A: I think what you meant is what is a one-to-one correspondence. A one-to-one correspondence is also ...
Geometry6/7/2010
  Q: How many circles of a same diameter can be fitted in a rectangle Please provide a simple formula ...
  A: I actually did provide you a formula...divide the length of the rectangle by the diameter of the ...
Geometry6/5/2010
  Q: How many circles of a same diameter can be fitted in a rectangle Please provide a simple formula ...
  A: Rahul~ There must be more to the question than this. Are you talking about exactly fitting as ...
Future Value6/2/2010
  Q: Question from Kenneth: Hello: I have a question regarding the following compound interest and ...
  A: No, it is not as simple as adding P + rP for each additional year. For example, I have shown you ...
Future Value6/2/2010
  Q: Question from Kenneth: Hello: I have a question regarding the following compound interest and ...
  A: I am going to try to explain how you would develop the pattern and then simplify it for you. P is ...
2 math problems6/1/2010
  Q: I need to find out why and how of a math problem (seemingly basic) that I just can't figure out on ...
  A: Mike~ When you change from dollars to euros and the rate is 1.3 euros for each dollar you are ...
pre calc5/31/2010
  Q: A surveyor determines that the distances from a house to each of the endpoints of the diameter of a ...
  A: Ann~ If I assume that the house is on the edge of the lake then that gives me a triangle with ...
Applying quadratic equations5/30/2010
  Q: My son is having difficulty applying quadratics. The problem is, a complex has 100 units(D)-when the ...
  A: One way to write a relationship between D and C is to write individual equations in terms of another ...
Vectors5/27/2010
  Q: Find the magnitude of w to three significant digits and its bearing to the nearest tenth of a ...
  A: Allison, I will explain how to do a couple of these problems but it would be helpful if you showed ...
Logarithmic equations5/24/2010
  Q: Log9x + 3log3x = 14. 9 and 3 are bases
  A: Sorry it has taken me so long to repsond but I didn't have internet access, just my celly.Anyway ...
bionmial threom5/23/2010
  Q: (a+b)^5=C(5,0)*a^5+C(5,1)a^4 *b.......+b^2 sherry pls please decsribe the the first nd second term. ...
  A: Do you know what Pascal's Triangle is? 1 1 1 1 2 1 1 3 3 ...
combinations5/22/2010
  Q: question- a set of three symbal {a,a,b}.find the the number of way these can be arranged. ...
  A: Ask yourself how many ways the first position can be chosen and you would say there are 3 things to ...
mathematics-modulus function5/12/2010
  Q: ex.modulus of 3x+4=1. we write as -(3x+4)=1,and (3x+4)=1.but modulus of any value is always ...
  A: Andrew~ You are assuming that -(3x+4) is negative because of the minus sign, but what if x is a ...
Vtot5/9/2010
  Q: I am stuck ! Can u help ? Calculate the total sum of voltages, Vtot, of the following voltages ...
  A: Neil~ Notice the coefficients of kinetic and static friction are both less for the steel on dry ...
Sphere5/9/2010
  Q: How is the sphere surface and the diameter formule?
  A: Mario~ It is difficult for me to understand what your question is. Are you asking me how is the ...
roof calcs5/8/2010
  Q: I want to calculate the length of the ridge board for a roof. The total length is 6m and width is ...
  A: Ok, hopefully this makes sense to you. The hypotenuse of the roof pitch is as you calculated 3.536, ...
roof calcs5/7/2010
  Q: I want to calculate the length of the ridge board for a roof. The total length is 6m and width is ...
  A: It took me a moment to figure out what it is that you don't know. Basically you have a right ...
Vtot5/6/2010
  Q: I am stuck ! Can u help ? Calculate the total sum of voltages, Vtot, of the following voltages ...
  A: sin(x+y) = sin x cos y + cos x sin y and sin(x-y) = sin x cos y - cos x sin y and with that said it ...
Quadratic?5/4/2010
  Q: A dog owner wishes to enclose a rectangular area in his backyard for the dog. The owner wishes to ...
  A: Nick~ The reason that x + y = 14 is because you have two unknown measurements and 14 meters of ...
identity proof- further pure 2-A25/3/2010
  Q: i am stuck on an identity question, which is as follows... Use the identity tan(A-B) = (tanA - ...
  A: Jason~ This is not Ahmed, it is Math Prof. Now let's look at the identity tan(A-B) = (tanA - ...
Math5/2/2010
  Q: Rewrite the following using mathematical symbols: a. P is equal to the set containing a, b, c, and ...
  A: It would be helpful to me if you would try to explain to me what you do understand and what it is ...
euler's identity5/1/2010
  Q: so euler says e^(i*pi)+1=0 so ln (e^(i*pi)+1) = -infinity so I don't understand why ln (e^(i*pi)+1) ...
  A: Hamad~ Really? You think that e^(ipi)+ 1 is a very small number? Well, it is certainly at least ...
euler's identity5/1/2010
  Q: so euler says e^(i*pi)+1=0 so ln (e^(i*pi)+1) = -infinity so I don't understand why ln (e^(i*pi)+1) ...
  A: ln[e^(i*pi)+1] = ln 0 but since you can't take the ln of 0 you can examine what happens as you get ...
Math5/1/2010
  Q: I hope you are able to help me with this problem it is stressing me out!! Thank you in advance for ...
  A: Danielle~ The goats won't go swimming to the other side?? LOL So you have three sides and ...
Modulus4/30/2010
  Q: [x-1] + [2x+3] = 2 find x [] stands for modulus ANSWER: What mod are you using? If x = 1 and the ...
  A: Ok, here in America we just use vertical bars to talk about absolute value, so the problem would ...
Logarithm- Math4/30/2010
  Q: what is the x intercept when your dealing with: y= Blog(baseC)AX ?
  A: I prefer to write logarithms such as yours as: y = blog_c (ax) where the underscore '_' is used as a ...
Truth Table4/25/2010
  Q: Q#1 Formulate the argument symbolically and test its validity using truth table. Also mention ...
  A: Mahvish~ I can help with Q1 this way: Let P = John studies hard; Let Q = John gets A's; Let ...
Calculas II4/25/2010
  Q: Question # 01: Rectangular co-ordinates of a point are . ( 3, 3, -3√3 ) a. Convert ...
  A: Vampire? rho = 3*sqrt 5 S = 3*sqrt 2 phi = arccos(-3*sqrt3/(3*sqrt5))= ...
Math4/23/2010
  Q: Romel has two quarts of a 21% acid solution and three pints of a 35% solution. If he mixes them, ...
  A: Jill, this problem lends well to making a table of values: First let x = the resulting concentration ...
Probability - Using multiple rolls of the dice4/22/2010
  Q: Using five standard dice, I roll the dice looking for sixes. Each six rolled is set-aside, and the ...
  A: There are 5 dies and there is a probability associated with each die on each roll. For each die ...
Algerbra4/22/2010
  Q: The length of a rectangle is four times it's width. If the length is decreased by 12 meters and the ...
  A: Braydon, please don't use a follow up with a new question, thanks. To solve an equation in terms of ...
Algebra4/21/2010
  Q: Jim can fill a pool carrying buckets of water in 30 minutes. Sue can do the same job in 45 minutes. ...
  A: This is a w=rt problem where filling the pool is 1 job and each person contributes their own rate ...
math4/20/2010
  Q: What is the largest perfect square that divides into 731808 with no remainder?
  A: Irina~ One way to do this problem is to prime factor 731808 and then use the largest product of ...
Algerbra4/19/2010
  Q: The length of a rectangle is four times it's width. If the length is decreased by 12 meters and the ...
  A: In every word problem the first thing you want to do is to determine what it is you are looking for ...
Help Please4/19/2010
  Q: I'm not sure if it matters what degree the "angle on depression" has to be... This is a question in ...
  A: One definition of the angle of depression is: the angle of depression is the angle between the ...
Discrete Structures4/18/2010
  Q: A, B, and C are subsets of a set S. Prove the following set identity using the basic set of ...
  A: I still don't know what your basic set of identities is but this is how I would do the problem. ...
Quadrilateral Equation4/18/2010
  Q: I would be very grateful for some help please. I am stuck on an equation and despite my best ...
  A: Gsry~ You are right a quadrilateral has 4 sides and 4 interior angles. You are given a ...
Discrete Structures4/17/2010
  Q: In the questions below determine the size (i.e. cardinality) of the set. 5 points (1 point each) • ...
  A: Ashley~ {x|x ∈ N, x2 < 10}-> this doesn't make any sense, is there a typo here?? I will ...
math4/17/2010
  Q: Having problems coming up with a rule for the following x and y factors: x: 1,2,3,4,5,6 y: ...
  A: Barbara~ What I see is that x increases by 1 while y increases by the sequence 1+2+3+4+... From ...
Discrete Structures4/15/2010
  Q: A large pile of coins consists of pennies, nickels, and quarters, at least 30 each. How many ...
  A: Ashley~ One way to figure out a question like this is to use smaller numbers and see if you can ...
trig equations4/13/2010
  Q: what is 4sinsquaredx-3=0 in (0,360 degrees)
  A: 4sin^2x -3 = 0 -> 4sin^2x=3 -> sin^2x = 3/4 -> sin x = +-sqrt(3)/2 so you want to know what angle(s) ...
number theory4/12/2010
  Q: I am trying to understand why e^ipi=cos(pi)+isin(pi)...I get that cos pi=-1, and that isin pi=0 ...
  A: Dave~ You are right in everything you say. Euler's identity is e^ipi + 1 = 0 and it is derived ...
e and ln4/12/2010
  Q: I can't find the rules with how to deal with this type of problem anywhere: ln(e^2x-e^3x) I am ...
  A: Amber~ Rewrite ln(e^(2x)-e^(3x)) as ln([e^(2x)](1-e^x)). Note this is a product and the log of ...
Discrete Structures4/9/2010
  Q: Prove that A ⊆ B if and only if A ⋂ B’= ∅
  A: Ashley~ I answered this question yesterday but it is showing up again delivered today. I hand ...
math4/9/2010
  Q: Solve the following equation by finding all of its roots: (x^2 - 2x - 15)(x - 4)=0
  A: Anthony There is a zero product rule that says if you multiply two numbers together and their ...
maths question please?4/8/2010
  Q: can you work something out what initial investment do I need to make to get an annual return of ...
  A: Simon~ Might I assume that you mean the interest rate is 6% and that the inflation rate is 3%? ...
Discrete Structures4/7/2010
  Q: 11. Let A={x│x∈ N and 1<x<50} B={x│x∈ R and 1<x<50} C ={x│x∈ Z ...
  A: For part a you want to ask yourself if every element in the set A is also in the set B. The set A is ...
math4/6/2010
  Q: Using the factor theorem, find the prime factors of the polynomial x^3+5x^2+2x-8
  A: Anthony~ I'm not sure what 'factor theorem' you are referring to. In the text you use what do ...
math4/6/2010
  Q: 5[5a-a(3x+5)+ x(a+2x)]- 10x^2 Remove all grouping symbols and combine like terms in the following ...
  A: First you will want to simplify in the inner most parenthesis: 5[5a-3ax-5a+ax+2x^2] - 10x^2, next ...
One-Sided Limits4/5/2010
  Q: http://s763.photobucket.com/albums/xx275/trinhkieu888/?action=view¤t=12_03_17.gif Here is my ...
  A: From the graph you can see that as x->-2 from the left that it is not defined at x = -2 (because of ...
Trig identities4/5/2010
  Q: I could not find a clear path to the solution of this problem. show: (cosx/1+ sinx)= (1- sinx/cosx)
  A: Please see attached
Calculus II4/4/2010
  Q: I will post the entire question and then explain my dilemma. Suppose that f, g are positive ...
  A: In your example you said: 2^x^2 >> x^x because, ln(2^x^2) >> ln(x^2) therefore x^2ln(2) >> xln(x) ...
Circles4/2/2010
  Q: Write the equation of a circle in standard form with a center at (-10,-5) and passes through the ...
  A: Jordan~ The standard form of a circle is (x-x_0)^2 + (y-y_0)^2 = r^2 where (x_0,y_0) is the ...
trig4/1/2010
  Q: Solve tansquaredx - secx = -1 given that 0<= x < 360
  A: There are a number of ways to solve this. The way I solved it was to change everything into cosines: ...
math3/30/2010
  Q: -1 < log_3^y < 1 => -3 < y < 3 please explain it
  A: Pratap~ Basically the statement says that if the log base 3 of y is between -1 and 1 exclusive ...
Pascal's Triangle3/29/2010
  Q: We're doing a very large report on Pascal's Triangle and I know the Triangle is packed with so much ...
  A: Mary~ If you look at the first (top) row of PT (Pascal's Triangle), 1 is the coefficient for ...
pre-calculus3/28/2010
  Q: I am having a difficult time trying to answer these questions: A) 2sin^2-5sinx+2=0 ...
  A: Cierra~ It would be helpful if you would show me how you begin to do one of these problems so ...
distance problem3/25/2010
  Q: There is a central office located between two work sites with two teams. The distance between the ...
  A: Building a table to organize the information is sometimes helpful: team# d r t ...
Probability3/24/2010
  Q: Hope U R fine..I would really appreciate if u could help me with this question! A survey showed ...
  A: Let's label your 2 questions as question 1 and question 2. This is a union and intersection type ...
Proving trig. identities3/22/2010
  Q: Can you plaese help me verify the following identity? (3sinQ-2cos^2Q)/2+sinQ = 2sinQ-1
  A: First Jim you need to write the problem more clearly...is it (3sinQ-2cos^2Q)/2 and then add sinQ or ...
permunation3/20/2010
  Q: ((n-r)!/(n-6)!)=30 (n-5)(n-4)=30 n^2-9n-10=0 (n-10)(n+1)=0 n=10 please explain it
  A: Pratap~ The problem is to find the value of r given all the other information (I think). You are ...
fibonacci3/18/2010
  Q: Show that F_n+3 + F_n =2F_n+2 and F_n+3 - F_n =2F_n+1 Could you please explain to me of how to do ...
  A: ancy~ F_n+3+F_n = (F_n+2 + F_n+1) + F_n since F_n+3 = F_n+2 + F_n+1 = [(F_n+1+F_n)+F_n+1]+ F_n ...
solve for Θ:2/15/2010
  Q: can you please help insolving 2 cos² Θ - 1 +cos Θ + 1 = 0: -360° ≤ Θ ...
  A: Freddie, simplify your equation 2 cos² Θ - 1 +cos Θ + 1 = 0 -> 2 cos² Θ +cos Θ ...
infinite limit2/14/2010
  Q: lim (1/x)=INF where x->0+ (i have used "INF" to indicate infiniti please explain it
  A: When dividing by a very LARGE number the result is very small,and when dividing by a very small ...
interval notation2/12/2010
  Q: simplify x-|x-x^2|, -1<=x<=1 let y=x-|x-x^2| ` now |x-x^2|=x-x^2 >=0 i.e. if x(1-x)>=0 i.e. ...
  A: now |x-x^2|=x-x^2 >=0 i.e. if x(1-x)>=0 (1) i.e. if x(x-1)<=0 (2) i.e. if ...
limit2/12/2010
  Q: Using epsiln - delta defination prove that lim(x^2+2x-8)=7 (where x tends to 3) soluction let ...
  A: Pratap~ As x tends to 3 it is either coming from the left or the right. If it is coming from ...
Solving the following2/10/2010
  Q: 1.2sin^2-sinx-1=0 2. 4sin^3x+2sin^2-2sinx-1=0
  A: 1.2sin^2-sinx-1=0 Just factor it: instead of sin x let y = sin x and now you have through ...
algebra2/10/2010
  Q: The weight of a bass varies jointly as its girth and the square of its length. A prize winning bass ...
  A: Sammy~ let w = weight and g = girth and L = length, to say weight varies jointly as girth and ...
real number2/9/2010
  Q: if 'a' and 'b' two real number if a > 0 then -a < 0 proof:- a > 0 a-a>0-a 0>-a if a < 0 then -a ...
  A: Pratap~ This problem has been bothering you for some time. I remember this from about 6 months ...
intersection point2/4/2010
  Q: How would you solve this in terms of n, I have been trying to solve this for approximately 2 hours ...
  A: When I solved for n and got n = [log A - log 800]/log(1.7) I was solving for n (but A is still in ...
Solving an equation2/3/2010
  Q: I want to solve for n in the following problem 11800=10,000*(1.01^n) + 10n I know how to solve ...
  A: I don't think it can be solved explicitly because when you take the ln of both sides of the equation ...
Solving an equation2/3/2010
  Q: I want to solve for n in the following problem 11800=10,000*(1.01^n) + 10n I know how to solve ...
  A: 11800=10,000*(1.01^n) + 10n is what you sent originally, what you have sent now is: 11800 = ...
Pre-Calc2/1/2010
  Q: My original equation was (secx-tanx)(cscx+1). I distributed and all that. I got secx cscx + secx- ...
  A: There is no 'equation' here. There needs to be an equals sign in order to have an equation. You ...
Calculation1/31/2010
  Q: Is calculation (1) the same as calculation (2)? (1) Tax = Assessed value X (Mills per $1)/$1000 ...
  A: According to this website mills is the tax per thousand dollars of assessed property value. So for ...
Math Problem1/31/2010
  Q: I wanna ask one question....... I have given 16 numbers. 9999 5555 3333 1111 We have to add any six ...
  A: Do you know that there are 74,613 different possibilities of summing 6 numbers? Do you really want ...
Calculation1/31/2010
  Q: Is calculation (1) the same as calculation (2)? (1) Tax = Assessed value X (Mills per $1)/$1000 ...
  A: Kenneth~ The word 'per' in mathematics many times means divide or "/". Any number can be ...
input-output rule1/27/2010
  Q: I'm trying to find the value for y when I am given the value for x. The data I have is input(x) ...
  A: Kristi~ Write these as ordered pairs (points) and choose any two to find the slope and when you ...
natural domain of a trig function1/26/2010
  Q: What is the natural domain of the function f(x)=cos(x+pi)?
  A: The natural domain is just the values for which the function f(x) is defined. Since trig functions ...
Calculus1/25/2010
  Q: complete the algebra to simplify [f(x+Δx)-f(x)]/Δx to 4x+2Δx-3 for the function ...
  A: Let's call Δx = z so we want to show [f(x+z)-f(x)]/z is 4x+2zx-3 With f(x) = 2x^2-3x we have ...
Mathematical Formula Required1/22/2010
  Q: Is there a method using math to analyze the best time to replace a vehicle?
  A: Yes and no. It depends on the vehicle and it's data of performance and reliability. In general ...
intersection point1/21/2010
  Q: How would you solve this in terms of n, I have been trying to solve this for approximately 2 hours ...
  A: Bob~ Since you have labeled this problem 'intersection point' I assume you want to know the ...
math1/20/2010
  Q: 1. #68a plane with an airspeed of 450 miles per hour is flying in the direction N35degW. Round ...
  A: When wanting help with questions, try explaining what you have tried and what you don't understand ...
Equation1/18/2010
  Q: Find the value of k in the following equation: [9.e^(-6.k) ] - [9.e^(6.k)] + [7.e^(12.k)] - 7 = 0 ...
  A: This is really a 'factor by grouping' kind of problem. I'll try to walk you through it step by ...
square root1/17/2010
  Q: I'm trying to find the answer to this equation(-5-square root-9)2
  A: there is no equation here. In order for there to be an equation you must have an equal sign. Maybe ...
Distance1/16/2010
  Q: A hiker climbs a trail at 2 mph and descends the same trail at 5 mph. He starts at 12:00 pm and ...
  A: I love helping students answer questions but I also need to know what you have already tried so I ...
Trig Help1/15/2010
  Q: How do I prove that -1 ≤ sinΘ ≤ 1 and that -1 ≤ cosΘ ≤ 1? I'm ...
  A: Here is one way of dealing with the problem. On the unit circle you can use the idea that x = cos ...
Calculus1/11/2010
  Q: As the Questions are written with the help of Equation editor, so image of questions file is ...
  A: Bilal~ For the first question you want to take the first derivative and divide the number line up ...
Help with graphing functions and finding difference quotient1/9/2010
  Q: I am studying for my Pre-Cal midterm and need help with 3 problems. For problems A & B I have to: ...
  A: Make a table of x values and then calculate what y would be for each x and then plot the points and ...
advanced math1/5/2010
  Q: there were 50 nickels, quarters, and dimes in the pot. their total value was $6.40 there were four ...
  A: Each nickel has a value of $.05 and each quarter has a value of $.25 and each dime has a value of ...
I need help on some trig problems please.1/4/2010
  Q: I need to find the ArcCos1, ArcSin(-1/2), and ArcTan(-radical3/3) I have more problems but dont ...
  A: Melisa~ When you take the arcsin x or the arccos x or the arctan x you are asking yourself what ...
ellipse1/3/2010
  Q: how do you graph the ellipse (y+11)^2 over 144 + (x-5)^2 over 121 =1?
  A: Your major axis is your y axis because 144 > 121. a is 12 so the vertices are at (5,-11+12) and ...
Calculus1/3/2010
  Q: The image included shows the graph of the derivative of the function f; the domain of f is the set ...
  A: Look at the graph and wherever you can draw a horizontal line that only touches the graph in one ...
Infinate Surds/Radicals-IB math more specific.1/2/2010
  Q: WHAT ARE INFINITE SURDS?! I am asked the followinga1=sqrt(1 + sqrt 1) a2=sqrt (1+ sqrt 1 + sqrt 1) ...
  A: Ca you calculate the first 10 terms of either? I think you have it written wrong by the way: Your a1 ...
math12/30/2009
  Q: John is twice as old as his son. In 42 years, the ratio of their ages will be 4:3. What is the son’s ...
  A: Let x = the son's age so that the father's age is 2x. In 42 years the father's age will be 2x + 42 ...
logarithmic and exponential equations12/29/2009
  Q: 1.) 9^(3x+1)= 7^x 2.) log(x-2)-log(x+4)=5 3.) log6(x+1)=log3(x-8) 6 and 3 are the base of their ...
  A: When the bases are not the same and they cannot be made the same then you have no choice but to take ...
Pls. help me with the following equation, thanks.12/27/2009
  Q: Draw the graph of the function y = 2x2 + 3x – 3 between x = -6 and x = 5. By observation, where does ...
  A: Sam I assume you mean y = 2x^2 + 3x - 3. Set y = 0 which means you need to factor 2x^2+3x-3 = 0 -> ...
Probability12/25/2009
  Q: Setswana Nosks estimates that the probability its lathe tool is properly adjusted is 0.8. When the ...
  A: I am not sure where you got your numbers. P(adjusted) = .8 which means the probability it is not ...
symmertic relation12/23/2009
  Q: IF R be a relation on X (x,y) belongs to R then (y,x) belongs to R i.e if xRy then yRx called ...
  A: Take just one of the ordered pairs (a,a) and a is related to a (this is also reflexive). Is this ...
number theorey for excercise12/21/2009
  Q: please help prove this exercises fully please explain 1.For any positive integer n,find lcm(n,n+1) ...
  A: Anndy~ #1 Regardless what n is, n and n=1 are right next to each other and one is odd and the ...
volume word problem12/21/2009
  Q: A rectangular piece of cardboard is 2 units longer than it is wide. From each of its corners a ...
  A: Initially the length of the cardboard is w+2 and the width is w. When you removed the square pieces ...
trigonometry12/19/2009
  Q: 1. solve the equation, tan=1 for the given interval of x. -pi/2 less than or equal to x less than or ...
  A: There is no such thing as tan=1, you must always have an argument for a function. You must have ...
Trigonometry12/16/2009
  Q: Solve the Following Trigonometric Equations. Give All Positive Values of the angle between 0 degrees ...
  A: I will help you with C: Change cos(4x) into cos 2(2x) and use the identity: cos 2u= 1-2sin^2 u, so ...
Math logic12/14/2009
  Q: What percent of the time is this statement true?: (A∧~B)∨~C
  A: Ashley~ That is a funny way to describe a truth table: A B ~ B ~C C (A & ~B) (A&~B) or ~C ...
algebra12/13/2009
  Q: how do i solve variables on both sides? for example( -15+7t=30-2t)
  A: Sade~ Use the inverse operation to get all the variables on one side or the other. Try it this ...
exponents12/10/2009
  Q: how to solve 1.45645=X^(.373)
  A: Kyle~ According to the law of exponents when you take a power to a power you multiply the ...
Algebra12/10/2009
  Q: -2x – 6 < 4 provide the solutions. describe the circles and the shading for the graph.
  A: Lea~ When graphing on a number line we use open circles when we do not want to include the ...
Business Math12/8/2009
  Q: I need to figure out the (1.) profit function (2.)partial derivative for x and y (3.)the best ...
  A: What is '$*' ? Is this suppose to be $8? Profit = Revenue - cost. Partial derivatives of x and y ...
precal12/7/2009
  Q: how do u figure out what the general solutions for cos(theta)= -3/5?
  A: Meema~ What you really want to know is what angle theta gives you the cosine of it to be -3.5 ...
Logarithms12/6/2009
  Q: How do you put a logarithm like log(base 6)5 into a graphing calculator?
  A: There are two basic types of calculators, one where you put in the argument first and ones that you ...
Trig - Complex Equations12/6/2009
  Q: I need to convert the equations to trig functions then solve. Thanks for the help.
  A: I need to know precisely what it is you want to do. The word 'solve' means to find a solution and ...
Algebra question12/5/2009
  Q: I have been presented with the problem x^3 + 6x^2y + 12xy^2 + 8y^3. I feel like the answer is right ...
  A: This is not a problem, it is an expression. You need to tell me what it is they want you to do. Is ...
real analysis12/5/2009
  Q: Given a function f(x) = 0 if x is irrational = 1/q if x is rational and is ...
  A: Greg~ If you are looking at rational functions in their reduced form there are irrational ...
Proofing a triangle12/4/2009
  Q: By using a right triangle with a base created From point A to pint B (point B is next to the ...
  A: Notice since m < BCA = 2T that m < CXB = 90-2T since triangle ABC is a right triangle. Also m < AXC ...
Algebra 212/3/2009
  Q: D(3) = 30t + 15, find the domain and range
  A: The domain is your horizontal or independent variable values it can take on. Here that variable is ...
Formula for circles that fit in a rectangle12/3/2009
  Q: I work at a paper mill and I am trying to find a formula that will help us calculate the number of ...
  A: OK I think I get the picture now. Essentially if the rolls are 72" then you will fit 72" + a 36" ...
i realy, realy, realy need help12/2/2009
  Q: in school i am ahead in my math class so the teacher will usually give me more advanced work on the ...
  A: When the bases are the same we add exponents, example: 2^2 * 2^3 = 2^(2+3) = 2^5 = 32 you can check ...
Formula for circles that fit in a rectangle12/2/2009
  Q: I work at a paper mill and I am trying to find a formula that will help us calculate the number of ...
  A: What is the length of each roll? How much overlap is there with each pair of rolls? What you have ...
Geometry12/1/2009
  Q: An obtuse angle has a measure that is greater than 90 degree and less than 180 degrees. Using the ...
  A: Law of Detachment ( also known as Modus Ponens (MP) ) says that if p=>q is true and p is true, then ...
i realy, realy, realy need help12/1/2009
  Q: in school i am ahead in my math class so the teacher will usually give me more advanced work on the ...
  A: Ben, one way to think of this is this: let's take a simple example in base 10: 10^1 = 10, 10^2 = ...
algebra11/30/2009
  Q: Solve this system of equations: 200x+160y+60z=2100 400x+300y+200z=4500 x+y-2z=0
  A: First things first, why not make these equations as simple as possible? You can divide out the GCF ...
trig and probab11/29/2009
  Q: hey i have a couple of questions. frist is probability.1) spares of particular component are ...
  A: sin(A+B) = 2sin(A-B) use rules for sin of a sum and sin of a difference sinAcosB+cosAsinB = ...
trig and probab11/29/2009
  Q: hey i have a couple of questions. frist is probability.1) spares of particular component are ...
  A: Sara~ lots of questions! 1/200 = .5% and 1/50 = 2%, these are the failure probabilities Since ...
Set theory11/29/2009
  Q: A and B and C are non empty sets and E is the universal set. Given that: n(AnBnC)=3, n(A)=15, ...
  A: You might be better served asking another expert this question. Math Prof
math11/28/2009
  Q: The nominal family took a trip to an apple orchard and picked 4 different types of ...
  A: Jacinta~ Let f = # of Fuji apples; c = # of Cortland apples; b = # of Braeburn apples; r = # of ...
Mathematics, Trigonometry11/25/2009
  Q: Question1 :If x and y are acute angles and sin2x =cosy, find x in terms of y. Question2 :Determine ...
  A: J.A.~ Start with one side or the other and try to arrive with the opposite side. I will begin with ...
Mathematics, Trigonometry11/24/2009
  Q: Question1 :If x and y are acute angles and sin2x =cosy, find x in terms of y. Question2 :Determine ...
  A: A~ For #1 I would do this: take the arcsin of both sides: arcsin(sin(2x)) = arcsin(cos(y)) 2x = ...
Finite Math11/24/2009
  Q: (a) select appropriate variables; (b) write the objective functions; (c) write the constraints as ...
  A: Constraints are the boundaries of the problem. Like for instance the number of any item produced ...
Pre-Calculus11/23/2009
  Q: I have a question on solving a function equation, its very simple it just gets me confused every ...
  A: Rene~ There are a number of ways to do this. One way is to put into English what the rules of ...
Function Table (A)11/23/2009
  Q: I have a function table such as Input Output 0 4 1 7 2 10 3 13 4 16 6 25 8 9 34 64 40 I ...
  A: Amy, these are just ordered pairs (points in an x-y coordinate system). You can use any two points ...
need asap help11/22/2009
  Q: Hey I can't figure these out, do we have enough info? 1)A lighthouse is located on a small island 3 ...
  A: For #1- the light is moving 4rev/min (constantly). Think of the lighthouse as being the center of a ...
maxima and minima11/20/2009
  Q: pls help me with the following problems. 1) How to find the extreme values and test if they are ...
  A: for #1 What is m? Is it a variable or a constant? If it is a constant then take the first partial ...
rules and function tables homework11/19/2009
  Q: rule: 6+a=b a b 2 10 15 ...
  A: Joey, what is that column of numbers? Is that suppose to be values for a? If so, simply take the 2 ...
please help soon11/18/2009
  Q: do you know how to find the inverse of the relation {(3,-2),(4,0),(-5,-1),(-1,6)}
  A: "In mathematics, the inverse relation of a binary relation is the relation that occurs when you ...
functions11/16/2009
  Q: If f(x-3)=x^3+2x^2+7x+1, determine f(x) I tried to divide x^3+2x^2+7x+1 by x-3, but my answer was ...
  A: What you want is a function that when you evaluate it at (x-3) you get x^3+2x^2+7x+1. Shift our x ...
#3 Trig11/16/2009
  Q: I'm stuck and need some help.
  A: If P1 is on the wheel where it is shown and 2 seconds later P2 is at the top of the wheel then P1 is ...
f(g(x)11/15/2009
  Q: I only have one problem that I don't understand: 6. Confirm that f and g are inverses of eachother ...
  A: Celia~ I like to think of finding the inverse as a game and part of that game is substituting ...
advanced math11/15/2009
  Q: Pipe A leads into a tank, and Pipe B drains the tank. Pipe A can fill the entire tank in 10 minutes. ...
  A: This is a work rate type problem. You know in a work problem that the rate is 1 over the time so if ...
rotating11/14/2009
  Q: Please help me. I want to know how to find the coordinates of a point on the circumference of a ...
  A: Klaus~ You are rotating clockwise 90 degrees, this means from the point (6,6) in Quadrant I ...
Algebra II.....please help me its urgent!!!11/13/2009
  Q: 6.The magnitude and direction of vectors u and v are given. Find vector w's polar coordinates. u: ...
  A: Choose a few questions or I will address a couple. This site (as far as I am concerned) is for ...
proofs11/12/2009
  Q: suppose that a and p are natural numbers and that p is prime. are there values of a and p where ...
  A: What does it mean to be the greatest common divisor? It means what is the smallest divisor that ...
Equivalent Trignometric Functions11/11/2009
  Q: can you help me in this question please? It says choosing appropriate values for A and B, verify ...
  A: If you look at what happens in the first quadrant with the sine function and the cosine function you ...
pre calc11/10/2009
  Q: the machine is baught for 1000 dallors and after 5 years value is 100 dallors find a formula for the ...
  A: This all depends on if the price depreciates 'linearly' which I am assuming it is so then you have ...
trig11/9/2009
  Q: Directions- solve each equation for solutions over the interval [0*,360*] (*=degrees). Give ...
  A: What you gave me factors as (cos^2 theta - sin^2 theta) = (cos theta + sin theta)(cos theta - sin ...
Function Rules11/8/2009
  Q: What is the function rule if x = 5, 10, 15, 20 (that is the easy part) y = 10, 5, 10, 15. I can see ...
  A: Penny~ Try plotting the ordered pairs (5,10), (10,5), (15,10), (20,15) to see what shape you ...
Pre-Calculus11/8/2009
  Q: I need help with this problem, please: Suppose points A, B, and C have coordinates A (0, 0), B (1, ...
  A: u= (1-0,-2-0) = (1,-2) v= (4-1,2--2) = (3,4) cos x = u dot v/|u||v| = 1(3) ...
Ratio11/7/2009
  Q: I have a ratio problem I solved it with 2 ways one I know to be mathematically correct but the other ...
  A: I just viewed the video and he is a good math teacher. You want to do what he did with pure math and ...
Trig11/7/2009
  Q: I need help with this problem, please! Find the exact value of tan(sin^-1(-square root of 3 divided ...
  A: First things first. The sine of angle is a number but the inverse sine of a number is an angle. So ...
Ratio11/6/2009
  Q: I have a ratio problem I solved it with 2 ways one I know to be mathematically correct but the other ...
  A: If you are starting with 5 apples and 8 oranges, then why would you begin letting a = total number ...
implicit differentiation involving trig functions11/6/2009
  Q: heres the problem: cos(x+y) + sin(x-y) heres how i started: 1. -sin(x+y)*(1 + dy/dx) + ...
  A: Zachary~ Here is how I would do the problem: I prefer to call dy/dx y' until the end [cos(x+y)]' ...
Ratio11/6/2009
  Q: I have a ratio problem I solved it with 2 ways one I know to be mathematically correct but the other ...
  A: Hamad~ About your 2nd method: first you can't have 13 fruits if you start with 5 apples and 7 ...
pre claculus11/5/2009
  Q: how to list the transformations applied to parent function f(x)=x^4 to obtain g(x)=-2(x-3)^4+5
  A: Beginning with the function f(x) = x^4 your g(x) is obtained by realizing that the leading ...
algebra 211/5/2009
  Q: this is my problem: Ace invests $5000 in an account that earns 5% annually, compounded quarterly. ...
  A: Katharine~ t is time in years. The question could be for a 5 year period and in that case t ...
logarithms11/4/2009
  Q: How would you combine logs with a different base?? My question is log base 3 (x) + log base 27 (x) = ...
  A: Katharine~ This is tricky but here goes. I am using _3 to indicate base 3 Using the following ...
urgent math11/3/2009
  Q: Hey there I have a test tomorrow nigh for Calc and I just can't seem to get the answers for these ...
  A: #3 μ is called mu and is the greek letter mu. In physics we use it for a coefficient (constant ...
urgent math11/3/2009
  Q: Hey there I have a test tomorrow nigh for Calc and I just can't seem to get the answers for these ...
  A: of course I can't answer all these questions so as you asked I'll pick a few to help you out: Let's ...
Calculus: Implicit Differentiation11/3/2009
  Q: Use implicit differentiation to find the slope of the tangent line to the curve 4x^2+2xy–2y^3=8 at ...
  A: Sue~ I'm not sure what part has you lost but to do implicit differentiation it is just like ...
remainder theorem11/2/2009
  Q: a cubic polynomial gives remainders (5x+4)and (12x-1) when divided by x^2-x+2 and x^2+x-1 ...
  A: Belle~ There are a number of ways to approach these problems. I think your teacher wants you to ...
Prime Factorization11/2/2009
  Q: In how many zeros does 150! end? Show your reasoning. I am so lost by this question.
  A: check out 5! and 10! and 15! and 20! and you will find that each multiple of 5 adds a 0 so in 150! ...
Calc - Optimization Problem11/1/2009
  Q: I've been working on the attached problem #6 and I'm getting stuck. Thanks for any help.
  A: You have a right triangle with one leg 4 ft and the other leg x ft so the hypotenuse is ...
math10/31/2009
  Q: how to calculate this? (x-1.2)(x-1.3)(x-1.5)
  A: fzlan87~ You calculate this exactly the same way you would calculate (x-1)(x-2)(x-3). Use foil or ...
Trig10/30/2009
  Q: I need help with this problem, please. Thank you! Find the vertex, the focus, and the directrix. ...
  A: First you need to determine what this is. Is this a hyperbola, an ellipse, or a parabola? Both ...
Trig10/30/2009
  Q: I need help with this problem, please, I didn't get it correct when I submitted it. Thank you! ...
  A: Cindy, use the law of cosines: b^2 = a^2 + c^2 - 2ac*cosB -> b^2 = (23.78)^2 + (25.74)^2 ...
Algebra II10/29/2009
  Q: Can you help me solve the following questions? 21. y²+400 = 0 22. 4z² + 39 = 7 23.(4 + i)(4 - i) ...
  A: Let me clarify something for you first. The word 'solve' means to find a value for a variable in an ...
trig sum and difference formula10/29/2009
  Q: Use a graphing utility to approximate the solutions of the equation in the interval [0, 2π). If ...
  A: sin(2x) + cos(x) = 0 note this implies that sin 2x = - cos x. You could always change - cos x into ...
math10/28/2009
  Q: which is greater ? 2/4 or 6/10
  A: There are a couple of ways to approach this question. One is to reduce each and see what you have: ...
Trig10/27/2009
  Q: I need help with this question, please: An airplane heads 60 at 350 miles per hour. Find ...
  A: The symbol after the 60 isn't coming across but to break the vector into components just do ...
trig sum and difference formula10/27/2009
  Q: A weight is attached to a spring suspended vertically from a ceiling. When a driving force is ...
  A: It is not clear what 1.) is unless it is part (b) and if so then y = 2sqrt(1/6)+(1/4)sin(3t + 37) ...
Algebra II10/26/2009
  Q: Cities A and B are located on an east-west highway at a distance of 244 mi from each other. A truck ...
  A: Janay~ Since the truck and the car are traveling towards each other, the distance each travels ...
Vectors10/25/2009
  Q: can you, please, help me with this homework problem? Find the sum of u + v. Give the magnitude to ...
  A: Ok I think it is clear that you are to find the magnitude of the sum of u + v given the magnitude of ...
Derivative10/22/2009
  Q: how would you solve this derivative Lim [cos(3.14/2+h) - cos(3.14/2)]/h as h aprroaches 0
  A: Was the problem given this way or did you put in 3.14 for pi? And in the denominator of the first ...
Math10/21/2009
  Q: I need to figure our how to get 5 problems to their simplest form: They are: 5x-^4; 3^6/3^3; ...
  A: Any time you have a negative exponent regardless of whether it is in the numerator or denominator, ...
modeling functions and solving10/20/2009
  Q: A rancher with 600 ft of fencing wants to enclose a rectangular area and then divide it into three ...
  A: Let x = the length of the pen and y = the width of the pen. If the plot is divided into 3 pens with ...
consecutive integers10/18/2009
  Q: please explain in detail the process of finding four consecutive integers that equal the sum of 18?
  A: amonpatah~ Choose one of the consecutive numbers to be x and then the next is x+1 and the next after ...
mathematical economic10/17/2009
  Q: i am student of mathematical economic 201 i have few question i can not solve it can you help me to ...
  A: I can help you a little bit. I can't read the equation in part c and in part a you need to use the ...
proof10/16/2009
  Q: could you plz give me a hint about the problem below: Use induction on the size of S to show that ...
  A: Bita~ You are looking at the characteristic of the set and namely that characteristic is the ...
A couple questions10/16/2009
  Q: I have been having trouble with some probability questions and I was hoping you could help me out. ...
  A: Let me see if I can help you reason this problem out. If there were 2 kings in a deck of 10 cards ...
calculus: limits10/15/2009
  Q: I'm having trouble solving this problem (see attach image). I know you can't use the direct ...
  A: Use L'Hospital's Rule for indeterminate forms: if lim(x->a) [f(x)/g(x)] = 0/0 this is an ...
Abstract Algebra10/15/2009
  Q: prove that if p and q are distinct primes, then there exist integer m and n such that p*m + q*n = 1
  A: The Euclidean algorithm finds for any integers a and b their greatest common divisor, d, i.e., ...
mathematics10/14/2009
  Q: 1+tan^2 _______ 1-tan^2 ANSWER: What is it you want done with this Fasha? Usually instructions ...
  A: Fasha~ To verify you need to simplify both sides until you have the same expression on both ...
Pre-cal10/14/2009
  Q: I am having a problem figuring out out to solve this problem the question is: Find the equivalent ...
  A: Is the problem (cscx/cscx)-cotx or cscx/(csc-cotx)? I am going to assume the 2nd. So proceed as ...
mathematics10/13/2009
  Q: 1+tan^2 _______ 1-tan^2
  A: Fasha I made an error that needs to be corrected so please bear with me and I will fix it for us: ...
linear equations10/12/2009
  Q: "The manager of a fish store has water that is 10% salt and water that is 25% salt. He needs to fill ...
  A: This problem can be solved by using a table to organize the info: let x = # gal of 10% salt water ...
Math 20310/11/2009
  Q: #1 Given: Y=3x^4+2x^3+4 at P(X,Y) let Q be another point on the curve. #2 Differentiate:A: ...
  A: Let me see what I can answer for you here. The questions are still not clear although I see what you ...
Algebra10/11/2009
  Q: Simplify the expression: 4/x^2 + 2/(x^2+x) Give your answer in the form of f(x)/g(x). For this ...
  A: Sue~ The common denominator is x^2(x+1) and the first term needs to be multiplied top and ...
Math 20310/10/2009
  Q: #1 Given: Y=3x^4+2x^3+4 at P(X,Y) let Q be another point on the curve. #2 Differentiate:A: ...
  A: Taneen, there is no question for #1. For #2 A just differentiate each term but put the variables on ...
Advanced composition of functions10/9/2009
  Q: I'm using this computer system called ALEKS, and one topic is frustrating me to no end. As you see, ...
  A: Basically (fog)(x)=f(g(x)) which means that the domain will be the range of g(x).Think of it this ...
Percent Equation10/7/2009
  Q: I need the definition of Percent equation and Compound Interest. I also need to find the terms to ...
  A: I don't know which formulas your text has there are many equivalent formulas. The terminology is ...
pre-calc10/6/2009
  Q: how would you simplify this expression tanx(cscx-cotx)
  A: I usually tell my students to replace each term or factor with equivalent sines and cosines and see ...
calculus-differentiation rules10/4/2009
  Q: Sherry, Here is an exact copy/paste of my actual problem. Let me know if you can help me with this. ...
  A: Ok the tangent line at any point has slope f'(x). (This is one interpretation of the first ...
math10/3/2009
  Q: |a|>=a and |a|>=-a if a>=0 then |a|=a if a<0 then |a|=-a>a a belongs to R then |a|>=-a ...
  A: line 1 if a>=0 then |a|=a line 2 if a<0 then |a|=-a>a line 3 a belongs to R then |a|>=-a ...
matrixes9/30/2009
  Q: Apply understanding of matrix multiplication A toy company in Seattle makes stuffed toys, including ...
  A: The numbers in your matrix are in minutes, and how would you convert those minutes to hours? You ...
math9/29/2009
  Q: For every real number ε > 0, there exists a natural number n_0 such that for all n > n_0, |xn ...
  A: Pratap~ n_0 is a natural number which means it is a counting number and in this case it is ...
Algebra II9/29/2009
  Q: How do you do: 5th root of 64x^6y^5z^12
  A: The 5th root means you need to take every factor to the 1/5 power. So you have as factors ...
Word problem9/28/2009
  Q: I have asked a few experts so far, no one has been able to help. Hoping to have more luck with you. ...
  A: John~ I can help you out a bit but bear in mind that I haven't studied this in over 20 years... ...
math9/26/2009
  Q: This is question from absolute value properties Question |a|>= and |a|>=-a Proof: if a>=0 then ...
  A: First you need to be careful when you type in the problem because this 'a|>= and |a|>=-a' doesn't ...
Calculus9/25/2009
  Q: Differentiate the function f(x)=2cos^5 3x+xlnx
  A: Let u = 3x so you have 2cos^5u +xlnx Let's take the derivative of each term since the derivative of ...
Percentages9/24/2009
  Q: (A) 5% X $2000 = $100 (B) 2% X $1000 = $20 This is a total return or average of $120/$3000 = 4% ...
  A: Kenneth~ You want to figure out how much money needs to be put in account A at 5% return and how ...
Input Output Tables- How to write a rule9/23/2009
  Q: I need to write a rule for this. input, x 10,11,12,13 and output, y 3,4,5,6,. I'm not sure how to do ...
  A: What is the change in y? What is the change in x? What is the slope of a line? The change in y over ...
differentiation and integration9/22/2009
  Q: Question1 A projectile is launched at an angle from the horizontal. if air resistance is neglected ...
  A: Lorato~ First let me tell you some standards for writing what you wrote that might make your ...
Function Tables9/22/2009
  Q: I am trying to figure out how to express the rules for two different function tables. In the first, ...
  A: RDC~ Here is a detailed solution to the first problem. Write the function as a set of ordered ...
Graphing an Equation?9/21/2009
  Q: I need help with the STEPS (preferrably very detailed steps) on graphing the following equation (and ...
  A: Any time a number (term) is moved from one side of an equation to the other it changes the sign. For ...
Differentiating, Integrating & Minimum/Maximum9/21/2009
  Q: Here are 4 more questions (you just answered one on graphing an equation for me!) I need ...
  A: Question #2: Given: E(a, be, c, d) = ac^2 + cb^2 + cb2 + 5d + 5a. Partially differentiate to find: ...
Graphing an Equation?9/21/2009
  Q: I need help with the STEPS (preferrably very detailed steps) on graphing the following equation (and ...
  A: The first thing you need to notice is that there are only two variables and they have just the first ...
solving absolute value inequalities9/20/2009
  Q: how do i solve the following problem: /x+3/-2<1
  A: First get the absolute value by itself on one side of the equation: |x+3| < 3 Now use the rule ...
polynomial & end behavior9/18/2009
  Q: without graphing,m describe the end behavior of the graph of the functions: f(x) = 3x^3 g(x) = ...
  A: These questions can be analyzed simply: for f(x) when x gets large what happens to x^3? It gets ...
simultaneous equation9/18/2009
  Q: Leo is twice older than Martin and three times than Mike, if the sum of their ages is 33, what is ...
  A: There are probably a gazillion ways to solve this problem but my first attempt doesn't even use ...
I need help.9/17/2009
  Q: I'm in College Algebra, it's exactly the same thing as Pre-Calculus. There are two questions that I ...
  A: Amber~ 1) First things first, you need to define your variable. You've used x. Define it to be the ...
Algebra ll (sytem of equations with three variables)9/16/2009
  Q: How do i solve sytem of equations with three variables? x+5y+6z= -10 ...
  A: Mikey~ There are a number of ways and not knowing what level of math you have taken I will use ...
literal equations9/15/2009
  Q: how do you answer these 3 questions E - F = G, for F -wr= a, for w tu= v + w, for u
  A: Joshua~ Literal just means solve for the named letter. E-F = G, just subtract E from both ...
Definition of a limit9/12/2009
  Q: I am wanting to know if the definition of a limit below normally used is the best definition of a ...
  A: |f(x) − L| < ε means -ε < f(x) − L < ε which just means the the ...
trigonmetry9/11/2009
  Q: prove that (sinA.sin2A+sin3A.sinA6A)/(sinA.cos2A+sin3A.cos6A)=5tanA ...
  A: Pratap~ You can't multiply the top of a fraction by 2 and not multiply the bottom by 2 also. ...
math9/10/2009
  Q: prove that (sinA.sin2A+sin3A.sinA6A)/(sinA.cos2A+sin3A.cos6A)=5tanA ...
  A: Pratap, I think you meant to say: (sinA.sin2A+sin3A.sin6A)/(sinA.cos2A+sin3A.cos6A).The first line ...
Algebra-Solving Problem9/9/2009
  Q: Find three consecutive integers such that twice the least integer is 12 more than the greatest ...
  A: Consecutive integers are 'next' to each other so if you let the first one be x then the next is x+1 ...
Percentages & Interest9/7/2009
  Q: At simple interest, an investor divides $1000.00 into two accounts -- one account of $200 earning ...
  A: Ok Kenneth this makes a bit more sense! Your teacher wants a non-algebraic solution. There is always ...
Percentages & Interest9/7/2009
  Q: At simple interest, an investor divides $1000.00 into two accounts -- one account of $200 earning ...
  A: Kenneth there are at least a couple of solutions to this problem. The one obvious (to me) is to earn ...
pre-calculus9/6/2009
  Q: How would i write the equations of the parabolas with the following conditions: a. with ...
  A: Sorry Miranda for a late response. I wrote a solution and it went to website heaven...Here I will ...
simultaneous equations9/6/2009
  Q: Sam has been saving 10 cent coins and 20 cent coins in a jar. When he takes the jar to the bank, he ...
  A: We don't have any 20 cent coins here in the U.S., do you in Australia? Let's pretend that there is ...
math9/5/2009
  Q: sin(2A)=2sinA cosA =(2sinA cos^2A)/cosA =2tanA/sec^2A =2tanA/1+tan^2A please explain it.
  A: The 2nd line multiplies the top and bottom of the right hand side of the first line by cos A: [2sinA ...
Word problem9/3/2009
  Q: Candy worth $1.25 a pound was mixed with candy worth $1.50 a pound to produce a mixture worth $1.35 ...
  A: Make a table of the information and decide what your variable is going to be and what it is going to ...
Precalculus9/2/2009
  Q: Solve for the indicated variable (listed after the semicolon). Restrict all answers to the interval ...
  A: The first one is the difference of sin(x-y), so essentially you are looking for the value of x-y so ...
math9/1/2009
  Q: please prove that cos(-x)=cosx
  A: The cosine is an even function which means that any time (x,y) is on the graph (-x,y) is also on the ...
Long Division9/1/2009
  Q: ) I hope this is no bother to you but I'm getting ready to go into college and today I realized that ...
  A: This will be difficult to show you in a type set environment but I will try: In your problem you ...
hi8/30/2009
  Q: how would you do this problem: (1/4) - (1/2) ÷ (1/3) can you show me step by step please? ANSWER: ...
  A: Raymond, I can see how you are confused. Do not always second guess yourself! The back of the book ...
differentials8/30/2009
  Q: show that if z=x^nf(u) where u=y/x then: x(dz/dx)+y(dz/dy)=nz verify this result for ...
  A: Olivia~ In order to conclude that x(dz/dx) + y(dz/dy) = nz you must satisfy the hypothesis ...
Pre-Cal8/30/2009
  Q: Suppose a = cos(20). Find the following in terms of 'a': 1) sin(20) 2) cos(70) I'm having trouble ...
  A: Sue Lee~ The sine of an angle and the cosine of an angle are related. I like to think of them ...
hi8/29/2009
  Q: how would you do this problem: (1/4) - (1/2) ÷ (1/3) can you show me step by step please?
  A: Raymond, there are two things going on here. One is an order of operations that must be followed and ...
differentials8/29/2009
  Q: show that if z=x^nf(u) where u=y/x then: x(dz/dx)+y(dz/dy)=nz verify this result for ...
  A: First verify that the z you have fits the criteria, that is, is z a function of x and y? It is so ...
math8/28/2009
  Q: HO DO YOU DO THIS PROBLEM 2x+2y=14
  A: Cody~ You first need to know what they asked you to do. From where I stand it 'looks' like they ...
College Trig8/27/2009
  Q: Find the standard form for the equation of a circle with a diameter with ends points (-10. -6) and ...
  A: Jonathan~ To write the standard form of the equation of a circle you will need the radius and ...
Word Problem8/26/2009
  Q: I've tried to answer this problem over and over again, but I can't seem to come that close. Here it ...
  A: Molly~ You have 10 sprinters, so how many of the 10 can attain 3rd place? (hopefully you say ...
pre-calc (review for calculus)8/25/2009
  Q: Fractions involving 3 parts (2 I can do). Solve equation for a x + y + z = 1 - - - a ...
  A: Ray~ Multiply both sides by a and you will get: x +(ay/b) + (az/c) = a. Now subtract (ay/b) and ...
trigonometry8/24/2009
  Q: express csc 30 degrees sin(180degrees-theta)sin(270degrees-theta)sin 3pi/2 as a single function of ...
  A: Kimberly~ I assume this is multiplication. The csc of 30 degrees is 1/sin 30 degrees and the sin ...
College Calculus8/23/2009
  Q: Business- Markup policy. A clothing store sells a shirt costing $20 for $33 and a jacket costing ...
  A: Joy this is an elementary algebra problem. You are given two sets of points, with the retail price ...
Circle & string8/21/2009
  Q: I work in electronics manufacturing and we have a huge inventory of electronic components. Every ...
  A: I can help you think through this problem. If the empty reel is 50mm and you add one winding then ...
Pre-cal question8/19/2009
  Q: a boat is sailing due east parallel to the shoreline at a speed of 10 miles per hour. At a given ...
  A: T~ Interesting how different people see things differently. I drew a different diagram and then ...
algebra help8/19/2009
  Q: can u help me solve this math problem: 3/4(13-(2+3)²
  A: I can help you but you need to make sure you have typed it in with the proper sets of parentheses. ...
Average diameter of sphere from average profile diameter8/18/2009
  Q: If you were to randomly cut through a sphere, what would be the average diameter of the circle ...
  A: Matt~ You have a sample that you want to estimate the population from. Your sample is the ...
Binomial8/17/2009
  Q: I)Express (2-x+8x^2)/((1-x)(1+2x)(2+x)) in partial fractions. II) Hence obtain the expansion of ...
  A: You did the partial fraction decomposition correctly... To use the binomial expansion expand one ...
Saving $8/15/2009
  Q: I am wanting to save money. I note that every morning I drink a coffee that costs $4 a day. $5 on ...
  A: Figure out how many Sat and Sun left in August and multiply that number by $5 and how many 'other' ...
math8/13/2009
  Q: find center and radius 36x^2 + 9y^2 - 36x + 12y - 307 = 0 ANSWER: CJ~ You need to complete ...
  A: CJ~ Your a^2 is 80/9 and your b^2 is 320/9. Since 320/9 is larger than 80/9 that means the ...
compound interest8/13/2009
  Q: How many years will it take to double your money if you deposit it into a fund paying 10% compounded ...
  A: zarak~ The amount A after t years due to a principal P invested at an annual interest rate r ...
math8/12/2009
  Q: find center and radius 36x^2 + 9y^2 - 36x + 12y - 307 = 0
  A: CJ~ You need to complete the square on both variables but the coefficients on the perfect ...
Help find the function?8/11/2009
  Q: I'm in 8th grade currently taking Algebra. I'm confused with this problem, when I try to solve it ...
  A: Isabella~ Can you make sure you have typed in the problem correctly please. What you have above ...
Binomial theorem8/8/2009
  Q: Can you give me a basic high school level explanation about what the Binomial theorem is and some ...
  A: A high school level explanation, hmmm... Well one thing that can be done is any binomial to an ...
High school math8/7/2009
  Q: I am an 11th grader who is going to the 12th grade. And the math content in my country is less ...
  A: Typically a 10th grader takes Geometry and an 11th grader takes Algebra 2 and then the 12th grader ...
college algebra8/7/2009
  Q: What is the center, foci, and asymptotes of the hyperbola x^2-y^2=18
  A: Samantha~ The center is (0,0) because there is no x or y term only squared terms. [The general ...
how to find three unknown variables in three simultaneous equations8/6/2009
  Q: -0.8x+0.3y+0.2z=0 0.5x-0.4y+0.3z=0 0.3x+0.1y-0.5z=0 where: x+y+z=1 how do i find the values of x, ...
  A: Jo Anne, there are a number of ways to find the solution to this system of equations. First I would ...
Algebra, two equations8/3/2009
  Q: Sherry, This is a question from my last math competition. I have the answer key to the questions, ...
  A: Ankai~ There are probably many ways to approach this but this is the way I would approach the ...
help me plz8/2/2009
  Q: USE dESCRATES RULE TO GIVE THE POSSIBLE COMBINATIONS OF POSITIVE,NEGATIVE,AND IMAGINARYZEROS OF THE ...
  A: Amy~ The first thing you need to do is understand the definition of Descartes Rule: The rule ...
math7/31/2009
  Q: question-> if x/y=6/5,find the value of x^2+y^2/x^2-y^2 aneswar-> x^2+(y^2/x^2)-y^2 = (x^2/y^2 + ...
  A: Pratap. this is very hard for me to explain because the question is not asked correctly. I know you ...
Inverse of a Matrix.7/30/2009
  Q: this is probably the longest question you have been ever asked..but please bear with me here Find ...
  A: no it isn't right unless there is no solution because you have arrived at 0*x + 0*y = -2 and there ...
Math problem7/29/2009
  Q: I need help finding the factors and x intercepts of this equation: x3-1320x2+398351x I am tutoring ...
  A: there is one very visible factor: x since x(x^2-1320x+39835)is equivalent to what you began with. So ...
ap calculus7/28/2009
  Q: what is the range for the following greatest integer function: f(x)=[x] ANSWER: Bob~ All that ...
  A: Bob, I need to explain some more because you obviously do not understand the greatest integer ...
ap calculus7/28/2009
  Q: what is the range for the following greatest integer function: f(x)=[x]
  A: Bob~ All that is meant by range is if you were to graph the function, what values could y have? ...
On Complex numbers7/26/2009
  Q: the complex number w is given by w=-1/2 + i(3^1/2)/2. Find the modulus & argument of w. Thank you
  A: The modulus really is the hypotenuse of a right triangle of the complex number graphed on the x-y ...
Domain of a function7/26/2009
  Q: I'm confused how to do this with a sqrt. Can you walk me thru this please? f(x) = radical 4 ...
  A: Susan~ Any even root has to have the value under the radical greater than or equal to 0, i.e., ...
a calculus ab7/23/2009
  Q: solve for x: e^(2x) - 2e^(x+2) + 4e = 0 (hint: factor) ANSWER: Sabrina u substitution works nicely ...
  A: This makes the problem even easier yet since it is not necessary to use the quadratic formula or to ...
a calculus ab7/23/2009
  Q: solve for x: e^(2x) - 2e^(x+2) + 4e = 0 (hint: factor)
  A: Sabrina u substitution works nicely for this one. Let u = e^x so your equation becomes u^2-(2e^2)u ...
abstract rate7/21/2009
  Q: A nurse knew that g gallons of milk would feed s infants for 12 days, but she had s+15 infants. How ...
  A: One way to view this problem is to set up a proportion. Let's look at the number of gallons of milk ...
Math (Algebra 2) Help7/20/2009
  Q: Wallin, Can you please help me with this problems? 1) 7x^2/9y divided by [4x]/[15y^2] times ...
  A: You are trying to take a fraction that is written vertically and type it horizontally which will ...
Math (Algebra 2) Help7/20/2009
  Q: Wallin, Can you please help me with this problems? 1) 7x^2/9y divided by [4x]/[15y^2] times ...
  A: Margaret~ First I need you to clearly state the problems. 1) the way it is written is saying ...
Trigonometry7/19/2009
  Q: Verify that cot(x+y) cot(x-y)=1-tan^2x tan^2y/tan^2x-tan^2y is an identity.
  A: Kenny~ cot(x+y)*cot(x-y) = [1/(tan(x+y)]*[1/(tan(x-y))] = 1/[(tanx + tany)/(1-tanxtany)]* ...
Logarithms7/19/2009
  Q: sherry wallin, i worked out this problem can u please check ? Write the following into single ...
  A: Sure can Raja~ I will number them 1-3 and explain how I went from 1-2 and 2-3: 1) = ...
Logarithms7/17/2009
  Q: sherry wallin, i worked out this problem can u please check ? Write the following into single ...
  A: One way to know if your answer is equivalent to the original is to substitute values into the ...
trigonometry7/16/2009
  Q: prove the trigonometric identities: 1- cot^2/1+cot^2 = sin^2-cos^2
  A: First you want to ALWAYS use an argument with your trig functions, else they are not defined. So ...
Calculus: Techniques of Integration7/15/2009
  Q: Use trignometric identities to simply the function and then integrate with respect to x i. sin^4 x ...
  A: It isn't necessary to use a trigonometric identity to integrate this problem. You can use a formula ...
Math theory/formula for averages7/13/2009
  Q: I am trying to discover if there is a math formula that already addresses my problem. Perhaps you ...
  A: Mark~ That won't work because the probabilities need to add up to 1. If you use .5x + 50 you ...
volume of washer in sq. in.7/11/2009
  Q: Item is 1.895 O.D. x 1.625 I.D. x .437 thk. What is volume? Answer needs to be in square inches.
  A: Alan, the answer will NEVER be in square units, you are talking VOLUME which is ALWAYS cubic units. ...
Math help7/9/2009
  Q: we have a team of 12, I am in NZ, we work 5 x working days. it is now 10th of July and the team ...
  A: Ok it is the same math. There are 15 days to obtain 560 - 172 = 388 stars with 12 men that means ...
Math help7/9/2009
  Q: we have a team of 12, I am in NZ, we work 5 x working days. it is now 10th of July and the team ...
  A: You have 15 working days left in the month of July (not including the 10th). I am assuming the team ...
permutation and combination7/8/2009
  Q: 1)A number cube(die) is rolled and a coin is tossed.Find the number of outcomes in which an even ...
  A: Shruti~ #1 the sample space is:1,H;1,T;2,H;2,T;3,H;3,T;4,H;4,T;5,H;5,T;6,H;6,T so there are 12 ...
Kinematics7/7/2009
  Q: A train travels from A to B,a distance of 20000m,taking 1000s.The journey has 3 stages.In the first ...
  A: Here is my reasoning, see if this makes sense to you: The distance traveled in the first leg of the ...
Similarity Problem7/6/2009
  Q: I've got a maths problem: Let ABC be a triangle. Two straight lines which are parallel to the side ...
  A: Your question is not clear to me. What do you mean by 'what parts is the side AB divided by the ...
permutation and combination7/5/2009
  Q: In a class comprising boys and girls, there were 45 handshakes amongst the girls and 105 handshakes ...
  A: I am going to use nCr to mean n things taken r at a time. If there were 45 handshakes among the ...
permutation and combination7/5/2009
  Q: 1)A hollow glass cylinder is filled with 10 different colored balls.If radius of the balls are ...
  A: Shruti~ I will do #2 for you: There are 5 different jobs and select any one job and assume that ...
Trignometry7/4/2009
  Q: How to show dy/dx=((sin2x)/(1-cos2x)) =cotx? Try already using cos2x & sin2x formulae but still ...
  A: Warm~ I think the question is written incorrectly because ((sin2x)/(1-cos2x)) = cotx. You ...
equation7/3/2009
  Q: 1) Kim bought a total of $2.65 worth of postage stamps in four denominations.If she bought an equal ...
  A: Let x be the number of 5 cent (.05x) and 25 cent stamps (.25x). Since Kim bought twice as many 10 ...
math7/3/2009
  Q: at work we have this reward system if the team achieves 560 stars as a whole they will get a team ...
  A: Tim~ One way to answer this question is to determine the number of work days in July. Looking ...
I really need help please help .7/2/2009
  Q: Translate the following problems into algebraic equations. Do NOT solve the equations; simply ...
  A: For #1 think of the problem as: let x = the thing you are being asked about 'what number' and 'is' ...
Trig7/1/2009
  Q: Hey I need some help on some questions and they are due tommorrow! How do you prove: (cosx + ...
  A: (cosx + cosy)^2 + (sinx + siny)^2 = 4cos^2(x-y/4) Start with one side and try to come up with the ...
calculus6/30/2009
  Q: Given ΔABC, find the area of the triangle to the nearest tenth of a unit. 1. a = 6 cm , b = ...
  A: I see this as algebra or trigonometry and this is how I would approach finding the areas of these ...
Hello6/29/2009
  Q: I need help with these. Can you please help? 1) Convert (10011110)^2 to a hexadecimal number 2) ...
  A: This is computer programming code but I can help you with this one. When you declare a variable in a ...
Cubic inch container dimension6/29/2009
  Q: Ive been trying to solve the following question. A cylinder is 11 inches long and contains 72 cubic ...
  A: Mr. T~ You need to know the formula for the volume of a right circular cylinder which is ...
Volume calculation6/26/2009
  Q: Wallin I want to make a mixing drum with a volumetric capacity of 9 cu.ft. I found that the formula ...
  A: yes of course I will explain how to change cubic feet into cubic inches. There is 12 x 12 x 12 cubic ...
math6/21/2009
  Q: the sum of three consecutive numbers is 105,find the numbers
  A: As with all word problems there is an unknown so there must be a variable. Let n = the first number ...
Hello6/18/2009
  Q: I need help with these. Can you please help? 1) Convert (10011110)^2 to a hexadecimal number 2) ...
  A: Andy I sent an explanation but it went to internet heaven. I will write one and attach it with a ...
Calculas6/17/2009
  Q: Find the equations for all the lines tangent to the graph of y = x3 – x that passes through the ...
  A: Attir~ I'm not sure what it is is you are trying to ask? I gave you the equations of the lines ...
Calculas6/16/2009
  Q: Find the equations for all the lines tangent to the graph of y = x3 – x that passes through the ...
  A: Attir, need some help with calculus! To find the tangent line you need to take the first derivative ...
Calculs6/16/2009
  Q: Find A, B, C, D such that the graph of f(x)= Ax^3 + Bx^2 + Cx + D is tangent to the line y = 3x -3 ...
  A: Attir~ This is not an easy problem since solving the system gets messy algebraically but the ...
Follow-up Question: Exponents6/15/2009
  Q: I want to thank you for your reply. I need to send this follow-up question to the one below ...
  A: I didn't put in those number(#) symbols in my calculation above FYI. Hmmm...as I said above the ...
Exponents6/14/2009
  Q: How is the following solution found for the following: (100^365/73)/5 or if typed as follows in ...
  A: The # sign represents the number of days in the year because there are not 365 days in each year ...
Exponents6/13/2009
  Q: How is the following solution found for the following: (100^365/73)/5 or if typed as follows in ...
  A: Kenneth~ There are a couple of ways to interpret a fractional exponent. The denominator is the ...
Exponents6/13/2009
  Q: How is the following solution found for the following: (100^365/73)/5 or if typed as follows in ...
  A: The two are NOT equivalent...what is equivalent to the first is: (100^365/(73*5)). Taking 100 to the ...
rule of function6/11/2009
  Q: I was on the right track but made a silly error. I tried your method to another problem, I tried ...
  A: Ok Sabrina~ This is just one of probably many ways to figure this problem out but its the way ...
finding a rule from a table6/11/2009
  Q: I'm in the 6th grade and I cannot find the rule from the follwing table. x=5, -5, 0, -1 y=25, 25, ...
  A: Look at the x values and the y values and see if you can find a pattern. I am going to write the ...
Algebra 2 help6/10/2009
  Q: I am having difficulties with some math problems and was wondering if you could help me. I would ...
  A: 1) -99<0 so the parabola opens down and has maximum 2) 4x^2-4x^2 = 4 is never true, i.e., 0 = 4 is ...
Algebra 2 help6/10/2009
  Q: I am having difficulties with some math problems and was wondering if you could help me. I would ...
  A: I'm not sure what your goal is. Were you looking for answers or ways to learn how to do these ...
math6/10/2009
  Q: The amount of wire on a spool is listed as 150m. How many pieces of wire 10ft long can you cut from ...
  A: well sure it requires two calculations. One is to convert from meters to ft and then find out how ...
math6/9/2009
  Q: If an object travels 400m in 253s, what is its speed in m/s? A.12.2m/s B.13.1m/s C.1.58m/s D.20m/s
  A: Anthony~ This is quite simply a problem where you need to know d = rt forwards and backwards. ...
Calculus6/6/2009
  Q: i am having finding the following questions really difficult and was wondering if you could please ...
  A: When you are told to find dy/dx that is just saying find the derivative of y with respect to x. It ...
HELP!6/6/2009
  Q: given that y = (cos^3x)/3 what is dy/dx?
  A: Kristin~ dy/dx is the first derivative of y with respect to x. The derivative of the cos x is ...
HELP!6/5/2009
  Q: 1. F(X) = 4SINX. THE MINIMUM VALUE OF F(X) is 2. if y=cosx/(1-sinx), then dy/dx = k/(1-sinx)
  A: Kristin~ Take the first derivative of F(x) and set it equal to 0 to find the max or min value. ...
Pre Calculus6/4/2009
  Q: I Need help establishing an identity: Sec-Cos/Sec+Cos = Sin^2/1+cos^2
  A: First we need to correct the notation. The trig functions are functions and that means they need to ...
pre-calculus6/3/2009
  Q: Find and simplify the difference of f f(x-h)-f(x)/h, h does not equal to zero. given f(x)= 1/8x. ...
  A: Ok. If that is what you meant then what you need to do is use parenthesis like this 1/(8x) otherwise ...
HELP!6/3/2009
  Q: if y = cosx-sinx then d^2y/dx is? Please help me it would mean alot!!! ANSWER: Hi Kristin Munroe~ ...
  A: Kristin~ You want to evaluate the integral from x = 0 to x = sqrt 2 on ...
pre-calculus6/3/2009
  Q: Find and simplify the difference of f f(x-h)-f(x)/h, h does not equal to zero. given f(x)= 1/8x. ...
  A: For f(x-h) everywhere there is an x you will put in x-h. that is what you meant by 1/8 x, you meant ...
calculus sum6/1/2009
  Q: Hey, I have another question for you if you get a chance. Approximate the sum of the series ...
  A: Janine~ You can look at the series as being the sum of [(-3/2)^n]/n! Note that n! grows faster ...
algebra 25/31/2009
  Q: how do you evaluate log(3)243 ANSWER: Hi Devin~ You are really looking for what power to raise ...
  A: Please feel free to ask new questions but don't do them as follow up questions because this question ...
Differentiation: Maxima and Minima5/31/2009
  Q: In a mathematical model of the growth of a sunflower head, it is assumed that a time, t, seed ...
  A: I think the problem is written incorrectly. I think the answer needs to be 2t -q-2(t^2-qt)^(1/2) ...
math5/30/2009
  Q: There are 220 barrels of cement in one shed and 510 barrels in another shed. How many barrels must ...
  A: B because you are removing x barrels from 510 in the 2nd shed and then that means you will have 220 ...
Continuity with integrals5/29/2009
  Q: Let F(x) = intergral (o,x) f(t) dt where f(x)= absolute value of (1-x) if absolute value of x is < ...
  A: F(x) is not differentiable at x = +-2 thus cannot be continuous at either point. Check the limits as ...
math5/29/2009
  Q: A,B,and C can finish a job in 6 days. If B and C work together, the job will take 9 days;if A and C ...
  A: Anthony, you really had to make me think about this one... :) Since A,B,and C can finish a job in 6 ...
Alg. 25/28/2009
  Q: 1. What is the length of the major axis of 7(x + 2)^2 + 2(y - 2)^2 = 49? 2. What is the center ...
  A: In order to do these problems you need to know what kind of equations each is. #1,2 are circles. The ...
math5/27/2009
  Q: Ann's age is seven-tenths of Bill's age. In 4 years Ann's age will be eight-elevenths of Bill's age. ...
  A: Good morning Anthony~ This is the kind of problem that lends well to putting the info into a ...
percentage5/27/2009
  Q: Of the votes cast on certain proposal, 80 more were in favour of the proposal than were against it. ...
  A: You need to determine the relationship between the quantities so you need to define some variables. ...
math5/26/2009
  Q: The difference between two numbers is 15. When twice the smaller number is subtracted from three ...
  A: I don't know if you have to solve this with one variable or two. I am going to assume you can only ...
equation5/22/2009
  Q: MyDetermine all monotonic functions f defiend on te set of realnumbrs, such that f(x)+2x=f(f(x)). I ...
  A: Hmmm...let f(x) = ax so that ax + 2x = f(ax) = a^2x. Now set all that equal to 0. a^2x - ax - 2x = 0 ...
math5/21/2009
  Q: (a^2+2)/b / (a + (2/a))=
  A: (a^2+2)/b / (a + (2/a))= (a^2+2)/b /([(a^2)+ 2]/a])= a/b rewrite (a^2+2)/b /([(a^2)+ 2]/a]) as ...
math5/20/2009
  Q: COuld you please check my answers: 3.) Describe the following graphs: The graph of -7 < 4x − ...
  A: Lisa~ 3 - The graph of -7 < 4x − 3 ≤ 7 has: open circle on -1 and a closed circle on ...
math5/20/2009
  Q: could you check my answers please, whatever is wrong can you tell me why and give me the right ...
  A: 1- domain is {-1, 0, 2, 3}; range is {0,3,4}; is not a function 4 - domain is {-2, 2, -1, 0, 1}; ...
arithmetic5/18/2009
  Q: If two digit integer M and N are positive and have same digits, but inreverse order, which of the ...
  A: I hope you aren't looking for an analytical answer to this problem because I can tell you the answer ...
math5/17/2009
  Q: Find the fraction equivalent to the fraction: ab/cx
  A: There are a gazillion fractions equivalent to the given fraction. Was there any other instructions ...
math5/17/2009
  Q: Find the lowest common multiple of 2x^4-2x^2y^2,4x^5+8x^4y+4x^3y^2,and 6x^2+6xy.
  A: Let's first look at how to find the (lcm) least common multiple of a set of numbers in a way that ...
applications of matrices5/15/2009
  Q: i was ordered to submit report on applications of matrices. can u please instruct me some websites ...
  A: Sirisha~ I need to know what level of math you are doing. There are many applications. You can ...
math5/14/2009
  Q: 3xSquared y(3xSquared y-6xySquared)= ANSWER: Hi Anthony~ I think what you want to find is ...
  A: Sorry Anthony I misread what you originally wrote even though I typed it the way you wrote it. Ok so ...
About Geometric Progression5/13/2009
  Q: Sir, I just read a solution of the following question. What is the sum of 1st n odd integers..? And ...
  A: Aniket~ Thank you for your patience. It still is not clear what you mean by 'solve it'? To ...
math5/13/2009
  Q: 3xSquared y(3xSquared y-6xySquared)=
  A: I think what you want to find is 3x^2y(3x^2y-6xy^2). Is this correct? There is nothing wrong ...
algebra5/13/2009
  Q: the tens' digit of a two-digit number is 3 more than the units digit. the number is 8 more than six ...
  A: A funny thing about our base 10 number system any number can be written times a power of 10 so for ...
Math5/12/2009
  Q: 1.) Use this equation for # 1 - 4. -5x^2 - 45x + 20 = 0 What is the value of a? answer: -5 2. ...
  A: Lisa~ Are you wanting the correct answers, the method or just to know if you are right or wrong? ...
alg 35/12/2009
  Q: this is my last time I will b doin this but I will need you in the summer but thanx for the past ...
  A: You need to graph each inequality with it's corresponding equation. Then choose a point and if it ...
alg 35/11/2009
  Q: but I need help with these im really lost Find the distance between the following coordinates 1. ...
  A: The formula for the distance between two points is: d(P1,P2)= sqrt[(x2-x1)^2 +(y2-y1)^2] I will do ...
About Geometric Progression5/11/2009
  Q: Sir, I just read a solution of the following question. What is the sum of 1st n odd integers..? And ...
  A: I think there is still a problem with what you gave me. In your difference table your third entry is ...
About Geometric Progression5/10/2009
  Q: Sir, I just read a solution of the following question. What is the sum of 1st n odd integers..? And ...
  A: Something is wrong with the data you were given. The first three odd integers is 1+3+5 = 9 not 10 ...
trigonometric graphs5/9/2009
  Q: I have to wirte an essay for pre-cal and i need some help. How are trigonometric graphs used in the ...
  A: The two most common trigonometric graphs that are used are the sine function and the cosine function ...
cubic quadratic5/6/2009
  Q: x^3+5x^2+2x=0
  A: Please post the question you need answered. I am going to assume you want to solve this equation. ...
calculus5/5/2009
  Q: 5.)Find the dimensions of the rectangle with the largest area inscribed inside the area bounded by y ...
  A: The area of a rectangle is 2xy. Eliminate y from 2xy by substituting y = 16-x^2 into 2xy. So 2xy = ...
alg 34/29/2009
  Q: Perform the indicated operation 1. 1/5y-1 times 125y^3 - 1/y-1 2. a^2 - 81/a+9 divide (a-9)^2 /9-a ...
  A: You are cheating your child if you are not allowing him/her to learn this the right way. 15) Let x ...
quadriatic word problem4/28/2009
  Q: One rocket has an initial velocity of 48 feet per second. The other has an initial velocity of 64 ...
  A: The equation you sent me is the standard quadratic equation for describing what an object on earth ...
alg 34/27/2009
  Q: 1. 4x + 3y = 12 2 2. y = ----x - 5 3 y + x = 3 3. 2x - 3y > -2 4. y < 3x - 1 ...
  A: Any equation which is solved for y such as 2,4, and 5 you can choose any value for x and then solve ...
RATIONAL EQUATION HELP4/23/2009
  Q: PLEASE SHOW HOW TO SOLVE THE FOLLOWING RATIONAL EQUATION: (6x)/(x+4)+(4)=(2x+2)/(x-1)
  A: The first thing you need to pay attention to is the domain of the rational expressions. On the left ...
Finding the peak of a curve4/22/2009
  Q: I am trying to produce a spreadsheet that will calculate to peak of a parabolic curve (convex up) ...
  A: Yes there is a way to use 4 points to generate the equation of a parabola, although it is not ...
subsets4/21/2009
  Q: 1. A 10-element set has ___ subsets. 2. Also, set A has 15 proper subsets. How many elements are ...
  A: Angie~ 2^10 subsets is the answer to 1. It is always 2^(# of elements in A) for the number of ...
Proving Trig identities4/20/2009
  Q: "all x's stand for theta (1+sinx)(1-sinx)(secx+1)(secx+1) [sinx-(sinx)(cosx)]/1-cosx ...
  A: Kate~ The problem is, there is no problem. If you were to say for example that you need to show ...
problem4/18/2009
  Q: 2. how many positive integers less than 1 000 000 have the sum of their digits equal to 19? 3. Let ...
  A: Carl~ A couple of quick thoughts about #2. How many ways can you get a sum of 19 with 3 digits? ...
prove or disprove/rational, irrational sums4/18/2009
  Q: I have a question that I am hoping you can help me with. My professor assigned me with a special ...
  A: You need to say that m/n and p/q are such that gcd(m,n) = 1 and gcd(p,q) = 1. This is so that you ...
Math4/17/2009
  Q: Pete Rossini has just graduated from college with honors. He has been offered four jobs with the ...
  A: Belinda~ What is the question you have? To calculate the amount for the first year by the week ...
logic... prerequisit to abstract algebra4/16/2009
  Q: help me for this some hard question about logic 1. A triangle has at least three sides. 2. A ...
  A: I think they are wanting you to assign truth values to these statements and then decide it they are ...
alg 34/15/2009
  Q: For the hyperbola 4y^2 - 9x^2 = 36 1. Which way does it open? 2. What are the coordinates of the ...
  A: 17 - [(4*sqrt2)^2]/16- (3^2)/9 = [16*2]/16 -9/9 = 32/16 - 1 = 2-1 = 1 thus 4 sqr root( 2, 3) is a ...
algebra 34/14/2009
  Q: Determine how the following parabolas open. Answer A if it opens to the right, B if it opens to the ...
  A: Any parabola with y = to something will open up if x is positive and down if x is negative. Likewise ...
limit definition of a derivative4/12/2009
  Q: I am trying to prove that (sin^2(x))' = 2sinxcosx. I substituted sin^2(x) into the formula ...
  A: The derivative of sin 2x is 2 cos 2x. The sin 2x is 2sinx cosx. In other words the sin of twice the ...
Math Formulas4/12/2009
  Q: My wife and I were watching a movie where a character was playing the role of a Mathematician. He ...
  A: A formula consists of variables and the variables represent some quantity that may or may not be ...
Angle of elevation4/10/2009
  Q: HOw do you find the angle of elevation only given two of the triangles side lengths but nothing ...
  A: It is unclear to me what you mean by 'only given two of the triangles side lengths'. Does this mean ...
graph name4/9/2009
  Q: I'm looking for the name of the graph formed by x cubed plus x squared. Does this shape have a ...
  A: I'm not sure about a name and I'm not sure what level of math you have had. You can use calculus to ...
Determinants4/7/2009
  Q: I'm a 25 year old computer science student. I'm not sure if linear algebra is considered abstract or ...
  A: Some thoughts: If you take any nxn matrix you can find it's determinant by using cofactors that are ...
verifying trig identitys4/6/2009
  Q: tan+(cos/1+sin)=sec plz solve this for me and send me the answer back asap
  A: Sean~ I will help you but you need to practice finding these relationships because it is ...
Business Calculus4/6/2009
  Q: I need to know how to find the curve sketching of f(x)=x^4-2x^3+x^2 f(x)=x+1/x+2 f(x)=x-1/x^2
  A: Might I assume you have to sketch by hand? There are a few standard graph techniques that I will ...
Standard deviation4/5/2009
  Q: Estimate the proportion of commuters whose travelling times are within 1 standard deviation of the ...
  A: Warm~ There are a number of ways to determine the standard deviation. You could calculate it by ...
Statistic-data representation4/5/2009
  Q: Grouping the data with classes 10-19,20-29,...,60-69,determine the frequencies for these classes & ...
  A: Warm~ In this case I believe they are hinting for you to use a histogram which is just a ...
inequality4/3/2009
  Q: Answear: Hi Grull~ Try this: since 0<a<1 and 0<b<1 we know that ab<1 and ab^(2/3)<ab<a likewise ...
  A: Sorry it has taken me a bit to get back to you. Let x^(2/3) be x*. Then try to assume that a is the ...
abundant numbers4/1/2009
  Q: Is zero an abundant number?
  A: Math Curious ? By definition "a positive number N is abundant if..." 0 is neither negative or ...
removal exam for summer exam3/31/2009
  Q: plss...answer this some question... if i dont answer this i just kick on my school for the first ...
  A: Here I will choose one to answer and explain for you: 3) The only singleton answer is when k = 0 ...
inequality3/29/2009
  Q: I've the following problem: x, y are positive numbers and x+y=1. How can i proof, this inequality ...
  A: I'm hoping you are in at least calculus. Take the derivative of f(x) = x(1-x)^(2/3): ...
confusion3/29/2009
  Q: 1- If I do postgraduates in mathematics , will I expose to " matlab " software on my studies of ...
  A: AOB~ I would say it is highly likely that doing master level mathematics will expose you to ...
Surjective mapping - not3/24/2009
  Q: Let S be an arbitrary non-empty set and let P(S) denote its power set. Prove by contradiction that ...
  A: Steve~ Yes, assume there is a surjective mapping f from S --> P(S). By definition then every ...
Equivalence Relation question3/24/2009
  Q: What equivalence relation gives this partition P of the natural numbers? P ...
  A: Steve~ How about aRb iff a = b^n for n a natural number? Yes your assumption is correct that ...
parabola3/23/2009
  Q: Brand X wrist watches sells at a department store sell for $50 at a rate of 45 per month. The ...
  A: There are a number of ways to graph the function but start by locating the vertex and then find the ...
what steps do you need to do?3/22/2009
  Q: if cos A=1/3, find cos 4A How would you solve this?
  A: There are probably several ways to conquer this question but here is just one way to do it: First ...
Algebra Question3/22/2009
  Q: I have a question on equivalence relations that I do not know how to start answering....can you help ...
  A: Steve~ To be an equivalence relation on a set S you must show that the relation is reflexive, ...
Algebra Question3/21/2009
  Q: For any sets A, B, C, D prove (A x B) U (C X D)= (A U C) x (B U D). I am not too sure where to ...
  A: you are right in your assumption. The next thing for you to decide is what an element in (A x B) U ...
solutions3/20/2009
  Q: For what value(s) of a does the system of equations (i) x^2 = y^2 (ii) (x - a)^2 + y^2 = 1 i cant ...
  A: Nickson~ Try plotting several points for x^2 = y^2. Let's see when x = 0, y = 0. When x = 1 ...
parabola3/20/2009
  Q: Brand X wrist watches sells at a department store sell for $50 at a rate of 45 per month. The ...
  A: You are given the factorization of the quadratic equation that models this problem. Geometrically ...
math3/19/2009
  Q: two bicycle riders covers a certain distance at the rate of 15km/hr and 16km/hr,one rider takes 16 ...
  A: The first rider is traveling slower and it takes him 16 minutes longer to travel the same distance ...
Fundamentals of Modern Math makes me cry..3/19/2009
  Q: I have to write an application problem using a Venn diagram with three different sets and describe ...
  A: It is not clear to me what your first question is. Are you asking me to describe A intersect B ...
Assignment3/18/2009
  Q: can you help me with my assignment... pls help me this is my assignment i only answer question ...
  A: Charise~ Hi I only have time to answer a couple of these before I go to work. 3) since the ...
math3/18/2009
  Q: two bicycle riders covers a certain distance at the rate of 15km/hr and 16km/hr,one rider takes 16 ...
  A: These problems use the relationship d = rt. Say rider 1 is going 15kmh and rider 2 is going 16kmh. ...
MATHS3/17/2009
  Q: Can you please calculate the dot product of each of the following pairs of vectors, and also state ...
  A: John~ The dot product is just a number and you can only multiple 'like terms', this means i's with ...
problem3/16/2009
  Q: find the exact value of tan pi/12 I do not know how to solve this problem so can you please solve ...
  A: Exact value means not a decimal approximation. The tan of any angle is the[sin of the angle]/[cos ...
Matrices3/16/2009
  Q: y-5x=0 3x-5y=2 is it concident or parallel or intersecting?
  A: Ashley~ What is it you want to know? Are you wanting to know what coincident means, parallel, ...
Mills & Decimals3/15/2009
  Q: I read the following in an old business mathematics textbook: "Express 13 mills as a decimal part ...
  A: Technically you could speak about decimal parts like that but it loses it's purpose. Percents mean x ...
pipe problems3/15/2009
  Q: A pipe can fill up the tank with the drain pipe open in 3 hours. If the pipe runs with the drain ...
  A: Lawrence~ Hi. I hope you like fractions because these problems are best done with ratios. If a ...
Mills & Decimals3/14/2009
  Q: I read the following in an old business mathematics textbook: "Express 13 mills as a decimal part ...
  A: Anything positive and smaller than $1.00 can be thought of as a decimal part of $1.00. Decimal part ...
Algebra question3/13/2009
  Q: The circumference of a circular plot of land is increased by 10%. What is the best estimate of the ...
  A: keane~ I am guessing you would like to know why that is the answer or perhaps you just want it ...
Mills & Decimals3/13/2009
  Q: I read the following in an old business mathematics textbook: "Express 13 mills as a decimal part ...
  A: Kenneth~ "as a decimal part of $1.00" means the mills divided by $1.00. Remember every dollar ...
arithmetic3/11/2009
  Q: how can i find the lcm of 3 20 and 15 i have been stuck on this for about 20 min now
  A: lindzye~ There are lots of methods but probably the easiset is to multiply each by 1, then 2, ...
matrices3/10/2009
  Q: what is a linear matrices and how to calculate it
  A: ELMASTA MANICUS~ A linear matrix is an array of numbers that represents linear equations. Do ...
Need help with this Algebra problem...3/9/2009
  Q: I need help with this Algebra problem...I think the answer is 2, The weight is divided by 2, but I ...
  A: Bee~ "y varies inversely as x or y is inversely proportional to x" can be translated into y = ...
Demand functions3/9/2009
  Q: Given a demand function of the form 0.1Q-10+0.2P+0.02P2=0 calculate price elasticity of demand when ...
  A: I think this an economic or business question, probably better served in those areas but let me give ...
math3/7/2009
  Q: A 110 meter long train is moving at a rate of 60Km/hr.in what timeit will cross the man who is ...
  A: This is a distance = rate*time problem. Build a table with each represented: rate time ...
math3/5/2009
  Q: 3x^-2y^5z^3
  A: Briana~ You should use parentheses when typing in math and it is unclear. Also you should state ...
algerbra3/4/2009
  Q: i am in a jam here. i am just now learning about functions and the input and output but one problem ...
  A: Are you suppose to write the function that relates the input to the output? By listing 2 rows of ...
math3/3/2009
  Q: A father had three sons.they were born at the interval of 3 years .the total age of of three sons is ...
  A: Pratap~ Sorry it took me a bit to answer, I have been very busy and this got lost in my emails. ...
math3/2/2009
  Q: if a train cross a pole in 10 second and cross a 150 mtr length Platform in 20 second.then findout ...
  A: The length of the train can be found using ratios. Compare the length of the train to the length of ...
valume and weight problem3/1/2009
  Q: Here is myImagine two spheres of metal, one nested concentrically inside the other. The outer sphere ...
  A: You really only have a problem where you calculate the volume of the outer sphere and then calculate ...
math2/28/2009
  Q: a man start walking straight towards east.After walking 75meter ,he turns to the left and walks 25 ...
  A: The best way to solve this problem is to see it in a picture. The answer is 35m but it is easier to ...
Word Problems and Triangles2/27/2009
  Q: 1. Many of the amenities at a local ski hill are run using gas generators. To transport gasoline to ...
  A: Hmmm...which one would you like to see worked and explained? The purpose of this site is to help you ...
graph lines, standard form2/25/2009
  Q: what is the line graph for 2x-y=6?
  A: There's a number of ways to answer this question. I am going to assume you are new to this idea ...
Completing the square2/23/2009
  Q: 2x-7x-15=0 how to solve step by step
  A: There are several methods to completing the square but since you are asking I am going to assume ...
Work2/19/2009
  Q: Find the average value of f(x) = cos²x on the interval [0, pi/2] ANSWER: Hi Tyson~ One ...
  A: This sounds like a Physics problem. Work can be defined as the dot product of the force and the ...
Average Value of a function2/19/2009
  Q: Find the average value of f(x) = cos²x on the interval [0, pi/2]
  A: One definition of the average value of a function is: 1/(b-a)int(b to a)f(x) dx, so this translates ...
math2/18/2009
  Q: If 13 = 13w/(1-w) ,then (2w)2 = A.1/4 B.1/2 C.1 D.2 Ans.C please explain the avobe problemm
  A: I wish I could explain the above problem except I don't happen to agree with the answer you gave. In ...
math2/18/2009
  Q: If the operation,^ is defined by the equation x ^ y = 2x + y,what is the value of a in 2 ^ a = a ^ 3 ...
  A: I like to think of the relationship x ^ y = 2x + y as being 2 times the first plus the 2nd. So in ...
proove that for sets A, B, C, and D the following is true2/16/2009
  Q: (A x B)intersect(B x C) = (A intersect C)x(B intersect D) i don't know where to start, all i know ...
  A: Hey Dave~ I think you have written the problem wrong. Correct me if I am wrong but I think you ...
summation2/15/2009
  Q: Evaluate: Σ[log k] over all k where k is a factor of 1 000 000 000 000 except 1 and 1 000 ...
  A: Hey Lawrence~ I will make a few comments that might be helpful: The greatest integer function ...
Percentages2/13/2009
  Q: To change a number to a percent, move the decimal two places to the right and add a percent sign. ...
  A: The rules for percentages remain the same no matter what unit of measure is attached to the number. ...
engineering mathematics2/13/2009
  Q: (i) Fine dy/dx,if f(x)=xlnx (ii) If x= n/rln(1/r),find the value of r for which x will be maximum
  A: For i) just use the product rule for derivatives. When asked to find dy/dx it is the same thing as ...
Slopes2/8/2009
  Q: Given the slope of the line, find the equation for each line. a) A line of slope 4 passing through ...
  A: You must be in a basic elementary algebra course. There are a few well known formulas that can help ...
Finding the sum in each part.2/7/2009
  Q: I'm in a college math class called Fundamentals of Modern Math- whatever that's suppose to mean, ...
  A: Study the pattern given. The first is 4 or 4/1 or even 4/(3^0). the second number is 4/(3^1). The ...
Investment2/7/2009
  Q: $5,000 is contributed each year for 40 years and makes an annual return of 8% on the investment. ...
  A: Are you asking me to give you a formula to find this or how do you figure out the formula to answer ...
Algebra2/6/2009
  Q: What are the Real Zeros in these functions: 9x^2-6x-4 16x^2-31+13 x^2-18x+74
  A: What level of Algebra are you in? It would be helpful to know so that I can address this ...
mathematics2/5/2009
  Q: what is the formula to find the orthocentre of a triangle when 3 of its vertices are given
  A: I'm not aware of any direct 'formula' for finding the orthocenter of a triangle given only the ...
Identities2/4/2009
  Q: how do i express i = 100sin(θ) + 150sin(θ + Π/3) as Rsin(θ ± α) and ...
  A: There is a set of parenthesis around (sin(x)*1/2 + cos(x)*sqrt(3)/2) so distribute the 150 150 ...
math2/3/2009
  Q: Equality of complex number > two complex numbers z_1=a+ib and z_2=c+id are said > to be equal ...
  A: Pratap~ I will help you answer this. It is unclear what the numbers in a,b,c, and d ...
3 unknowns??1/31/2009
  Q: I have a question which i don't really know how to categorise, I just know that it's hard for me. ...
  A: how's your day going? Mine is fine. Remember a point is just an ordered pair (x,y), the first ...
statement problem - mba1/30/2009
  Q: can u please help solve this problem showing in detail the calculation Kleen Karpet cleaned 65 rugs ...
  A: This sounds like an economic question with some math involved. I googled what the definition of ...
Identities1/29/2009
  Q: how do i express i = 100sin(θ) + 150sin(θ + Π/3) as Rsin(θ ± α) and ...
  A: You want to express this as R*sin(x+y), i.e., as a single sine wave rather than as a sum of two of ...
math1/28/2009
  Q: Equality of complex number > two complex numbers z_1=a+ib and z_2=c+id are said > to be equal ...
  A: Ok Pratap~ I will give it a shot: (->) Assume a + bi = c + di. Then a-c = di-bi = (d-b)i. ...
dimensional analysis1/27/2009
  Q: hi i did you to show me how to get feet to miles
  A: It would help if I was given a particular problem but here I can make one up. Let's change 2,640 ...
finance math problem1/26/2009
  Q: im having trouble with a question ive tried it but im not sure if i did it right.Can you please ...
  A: To get the sum of all the payments just multiply the payment by the number of months you are going ...
finance math problem1/25/2009
  Q: im having trouble with a question ive tried it but im not sure if i did it right.Can you please ...
  A: I see you've asked me to check your answers but the questions are the sums and monthly payments and ...
Modelling movment speed and direction of animals1/24/2009
  Q: I wonder if you cn help with this: Imaging the movement of a particle in x,y coordinate system, ...
  A: I am not sure what your math background is but it seems you have some trig background. You can write ...
Developing skill in proof independently1/24/2009
  Q: I'm a young woman studying Honours Math, but originally was focussed in Biology in high school. I ...
  A: Wow Claire, I commend you for your well thought out and clear prose. I also admire your drive to ...
Sale Price1/24/2009
  Q: I saw a furniture store commercial in which the salesman indicated that the furniture was on sale at ...
  A: Everything you said perfectly. For $.59 on the dollar is exactly for every $ in cost you will only ...
Iterative methods1/23/2009
  Q: I'm stuck and i dont understand & how to apply the formula. Can you explain more about this topics & ...
  A: Ok here is the answer I came up with. You will need to be careful about your notation since ...
math1/23/2009
  Q: sherry please tell me what is composite function?
  A: A composite function is a function applied to a function. The most simple composite function is when ...
Developing skill in proof independently1/23/2009
  Q: I'm a young woman studying Honours Math, but originally was focussed in Biology in high school. I ...
  A: A good beginning is to learn the basic rules of logic usually found in a symbolic logic course. It ...
College Algebra help1/22/2009
  Q: Determine the Difference Quotient where: DQ=[g(x)-g(9)]/x-9 when: g(x)=(4/3)x-9
  A: I'm not certain what you mean by difference quotient. Is that what DQ is and if so is DQ ...
Algebra 21/22/2009
  Q: I just started my 2nd semester of my online school and I am already having trouble with this part of ...
  A: You can not take the even root of any negative number. This means you cannot take the square (2nd) ...
math question - maximum area of a triangle1/22/2009
  Q: two sides of a triangle are 5 and 11. What length for the third side will maximize the area of the ...
  A: After careful thought and consideration I think I have a solution method that does not require ...
Modelling movment speed and direction of animals1/21/2009
  Q: I wonder if you cn help with this: Imaging the movement of a particle in x,y coordinate system, ...
  A: I have a few ideas for you. First the tanx = sinx/cosx and the only times cosx is 0 is when x = ...
Integration problem1/20/2009
  Q: How to Integrate this ((x)/(x+2)^3) by parts. Much appreciated ANSWER: Hi Qi~ Is there some ...
  A: multiplying by (x+2)2/(x+2)^2 is just 1 and I chose it because I had ...
Integration problem1/19/2009
  Q: How to Integrate this ((x)/(x+2)^3) by parts. Much appreciated
  A: Is there some reason (like in the problem statement or required as an instruction by your teacher or ...
College Math1/19/2009
  Q: Good Morning Sherry, This is a homework question and I would appreciate any feedback as to whether ...
  A: The problem is done exactly right, I see no errors. I do have an observation though. You have marked ...
function in math1/19/2009
  Q: sherry please teach me the surjective,injective,bijective function .please teach me
  A: Pratap~ I will try to explain these terms in simpler but less elegant mathematical vocabulary. ...
Amount1/18/2009
  Q: A one inch rainfall goes on a 1000 square feet roof and the water is collected in rain barrels. ...
  A: Randy~ Volume or gallons are 3 dimensional and you have a two dimensional measurement and a one ...
complex number1/17/2009
  Q: Equality of complex number two complex numbers z_1=a+ib and z_2=c+id are said to be equal if and ...
  A: Just out of curiosity, where did this proof come from? I ask because it is fallacious (wrong). ...
Pre-calc word problem help1/17/2009
  Q: Here is the problem: J working alone can repair 2 sections of trail in r hrs. K working alone can ...
  A: I did the problem slightly different, however I do arrive at the same answer. J's rate is 1/3 job ...
proof question1/16/2009
  Q: I signed up for abstract algebra this semester but I did not do proofs in a long time so I need some ...
  A: ..if gcd(a,b) = d then d can be written as a linear combination of a and b. Let's say d=ax+by. If t ...
proof question1/16/2009
  Q: I signed up for abstract algebra this semester but I did not do proofs in a long time so I need some ...
  A: Sure I'd be happy to help you. You always want to establish the 'base' case, usually n = 0 or 1. By ...
Homework1/14/2009
  Q: (256/x^12)^ -3/4
  A: (256/x^12)^ -3/4 is the same as (256)^(-3/4)/(x^12)^(-3/4) Negative exponents need to be moved up ...
combinations1/13/2009
  Q: how to find the 5th term of (y/4 - 2/y)^7 ANSWER: Janine~ Are you are familiar with Pascal's ...
  A: It is not clear what you are asking. If you are asking about the coefficient of the 5th term then in ...
Proving Identities1/12/2009
  Q: How do you prove this statement? cosx/(secx-1)-cosx/tan^2x=cot^2x
  A: To prove this statement, take one side or the other and try to derive the remaining one. I chose to ...
combinations1/11/2009
  Q: how to find the 5th term of (y/4 - 2/y)^7
  A: Janine~ Are you are familiar with Pascal's Triangle? You can use that to try to figure out what ...
Vertical asymptote with trinomial1/10/2009
  Q: i am stuck on finding the vertical asymptote of 3/(27x^3-8). I understand that it factors to ...
  A: Daniel~ We refer to the product of the sum or difference of two cubes as having the quadratic ...
Functions.1/9/2009
  Q: 1. Let f be the function defined by f(x) = ln ((x+3)/(2x+1)) (a) Find the domain of this function ...
  A: The ln of a quotient is the differences of the ln so ln ((x+3)/(2x+1)).It looks like you know that ...
function1/8/2009
  Q: sherry how can i finf the largest domail and range of a function.please tell me. if ...
  A: pratap, is it the sqrt(16) -x^2 or sqrt(16-x^2)? When you talk about the domain and range there ...
function in math1/7/2009
  Q: let the function f:R→R be defined by f(x) =x^2+2.if A={x∊R:-2<x<-1},find f(A); please ...
  A: try putting in increasingly larger values for x and find out what you get for f(x) and remember f(x) ...
function in math1/7/2009
  Q: if f={(1,5),(2,7),(3,9),(4,11)} be a function defined by f(x)=ax+b,then find the values of a and b; ...
  A: Choose any two of the ordered pairs (points) and use the point slope form of a line to write f(x) = ...
function in math1/7/2009
  Q: sherry thanks for aneswaring my question if f(x)=2x^2-5x+4,then find the value of x for which ...
  A: Simply calculate 2*f(x) and f(2x) and set them equal to each other and solve for x to find the value ...
function in math1/6/2009
  Q: let the function f:R→R be defined by f(x) =x^2+2.if A={x∊R:-2<x<-1},find f(A); please ...
  A: A is the set of all real numbers between -2 and -1, i.e., (-2,-1) in interval notation. That means ...
Multivariable Algebra Systems of Equations1/4/2009
  Q: Heres the equations a = square root of (b + c) c = a^2 - e a = d - c e = d + c a = (d + e)/b ...
  A: This is in response to your question a = b^2, b = a - b: substitute a = b^2 into b = a-b getting b ...
function in math1/4/2009
  Q: Let f:R→R be definerd by f(x)=x^2 If A={x:-1≤x<1}=[-1,1) then A⊆R And ...
  A: I believe I answered this already but maybe it didn't get sent so here it is again: Since x^2 + 2 is ...
function in math1/3/2009
  Q: Let f:R→R be definerd by f(x)=x^2 If A={x:-1≤x<1}=[-1,1) then A⊆R And ...
  A: Let's give each statement a line number 1- Let f:R→R be definerd by f(x)=x^2 2- If ...
Calculus III1/3/2009
  Q: Q: Find the maximum and minimum values of f(x, y) = xy on the ellipse 5x^(2) + y^(2) = 9. maximum ...
  A: Miss Adel~ I think I have an easier way to solve this problem so I will try to explain to you ...
relation in math1/3/2009
  Q: Let A={1,2,3} . let R be a relation on A. Define R={(x,y)}є AXA:x|y} find R Soluction . ...
  A: A is the set containing the natural numbers 1,2, and 3. A relation is just a rule that operates on a ...
Calculus III1/2/2009
  Q: Q: Find the maximum and minimum values of f(x, y) = xy on the ellipse 5x^(2) + y^(2) = 9. maximum ...
  A: Miss Adel~ As I follow your process to solve for x I see nothing wrong until the step where you ...
absoulte value12/31/2008
  Q: |a|≥a and |a|≥a Proof if a≥0 then |a|=a If a<0 then |a|=-a>a aєR ...
  A: Ok Pratap~ About the statement (If a<0 then |a|=-a>a): If a < 0 then "a" is a negative number. ...
absoulte value12/29/2008
  Q: |a|≥a and |a|≥a Proof if a≥0 then |a|=a If a<0 then |a|=-a>a aєR ...
  A: Did you write this correctly? The first statement is repeated. In the first line of the proof it is ...
function in math12/24/2008
  Q: please tell me what is function?
  A: What is a function in math? A function is a relationship between two quantities that gives you one ...
Percentages & Interest Rates12/23/2008
  Q: Here is myAn investor has $30,000 to invest at simple interest, one portion at 2% and the other at ...
  A: It is still unclear why you would want to divide by 5%. Essentially you are going to be earning 2% ...
Percentages & Interest Rates12/18/2008
  Q: Here is myAn investor has $30,000 to invest at simple interest, one portion at 2% and the other at ...
  A: You can use algebra to find a "non-algebraic" way to your answer. Since you are earning an ...
relation math12/18/2008
  Q: A relation R on the set Z of integers given by R={(x,y):2|(x-y)} is an equvalance relation. ...
  A: There are three things you need to show in order to say something is an equivalence relation. The ...
Pre-Calc12/16/2008
  Q: Can you show me the step by step process for answering this question. ...
  A: The way to simplify the is problem is to find the common denominator. If you wanted to add 3/8 + 1/3 ...
Maths12/15/2008
  Q: 1)85%, 22%, 22%, 29% (does not equal to 100%) do i just do the normal average wok out where i add ...
  A: Percents in data do not have to add up to 100%. Suppose you have those values for tests grades, what ...
Need help for trig final12/15/2008
  Q: I have 2 questions on my review for my final that I am stumped on. 1. Verify the identity: (1/1-cos ...
  A: So you have r - sint = -7cost multiply everything by r getting r^2 -rsint = -7rcost recall y = ...
Math Question12/15/2008
  Q: Robert can mow the lawn in one hour less time than Ed. Together they can finish the job in 5 hours. ...
  A: This is a standard type work = rate*time problem, however it doesn't work out nicely. You are given ...
Math Question12/15/2008
  Q: Robert can mow the lawn in one hour less time than Ed. Together they can finish the job in 5 hours. ...
  A: Ozzie~ I just answered this question, are you Robert also? Regardless here is the answer I gave ...
Need help for trig final12/14/2008
  Q: I have 2 questions on my review for my final that I am stumped on. 1. Verify the identity: (1/1-cos ...
  A: Clarissa~ For the first question just find a common denominator for the left hand side and then ...
Improper Integrals12/14/2008
  Q: I am having trouble solving this problem: Find the p values for which 1/(x*ln^p(x)) is improperly ...
  A: Megan~ Hi. If you meant INT[dx/(x*(lnx)^p)] = -1/[(p-1)(lnx)^(p-1)], p not = 1, then you find ...
length of a parametric curve12/13/2008
  Q: x=(cos(t))^3 y=(sin(t))^3 what is the length of the parametric equation from 0 to pi? I am more ...
  A: Ok C. J. Here you are: If x = cos^3t then dx = 3cos^2t(-sin t) dt or dx/dt = 3cos^2t(-sin t) so ...
As-level maths12/13/2008
  Q: 1. Solve the inequality: 10 + x² > x(x – 2) 2. The fifth term of an arithmetic series is 14 and ...
  A: 1. Solve the inequality: 10 + x² > x(x – 2)expand right hand side 10 + x² > x²-2x subtract 10 from ...
Math12/11/2008
  Q: There are 300 tickets sold. The total revenue of 1336.00 Tickets cost $3 for students and $5 dollars ...
  A: The first thing you want to do is to write the linear equations that describe the conditions. There ...
Math Foundations Proofs12/11/2008
  Q: Prove that the non-zero element [a] of Z(integers)sub n, has a multiplicative inverse in ...
  A: Ok, let's make a stab at it: (-->) Suppose a,b != 0 in Z_n such that ab = 1 mod n then n|(ab-1) ...
Mathematical methods for science112/10/2008
  Q: 1. Determine the volume of the solid of revolution obtained when the curve F(x) =x2+5 Is rotation ...
  A: Please see additional info below: Hi Emer~ I am going to assume you mean by x2: x-squared. ...
logarithms12/10/2008
  Q: please help me find the sum/difference of log5[x2/y7] and log5 square root rs/9
  A: Hopefully we are communicating on what the problem is, this is what I think you meant: log (base 5) ...
Calculus double integrals with variable intervals12/8/2008
  Q: I know this shouldn't be that much harder than the double integral problems with fixed number ...
  A: This is a very "messy" problem, but let's try getting through it without making any careless ...
Solving functions to get domain12/8/2008
  Q: f(x)=4/(x^9-256x)
  A: I am going to assume you are looking for the domain of the function you gave. The domain is all ...
Inequality12/7/2008
  Q: The problem I was given was to solve for "x" algebraically when (x+5) divided by (x-3) is greater ...
  A: This is a problem with reasoning and math. What do you know about when a number (a rational number, ...
Logarithm12/7/2008
  Q: I am just a bit confuse about this problem, could you please assist.. Here is the problem: Write the ...
  A: First off this is a difference of two logs of the same base so you can write it as a quotient of the ...
Precalculus Questions12/6/2008
  Q: HELP! Two precalc problems, one of which I have an answer to that does not seem right. 1. Given the ...
  A: Next time show me how you worked the problem so I can tell you where you made your mistake. That is ...
calc12/6/2008
  Q: A newspaper is launching a new advertising campaign in order to increase the number of daily ...
  A: You are given an ordered pair (time, subscribers)= (t,s) and you are also given that you have 26,000 ...
Trigonometric Identities12/4/2008
  Q: I am having problems solving a few trigonometric identities. If you could help, I would really ...
  A: 1- sin^2(x)/(1-cos x) = (1-cos^2(x))/(1-cos x) (to see this just multiply top and bottom by ...
Math12/3/2008
  Q: I have a question that I've been stuck on for quiet awhile, I was hoping you could help me. I need ...
  A: I am assuming you are in elementary algebra by this question. Can I assume you are just earning ...
metric system12/2/2008
  Q: convert 36,960 ft. to miles.
  A: So you want to convert ft to miles. You need a conversion factor which is 5,280 per 1 mile which is ...
Please check my answer and 1 question12/1/2008
  Q: Rearrange the expression to make r the subject. my answer is s = 4 pi r^2 s/(4 pi) = r^2 ...
  A: Your answer could be simplified some more in part 1. When you take the sqrt you need to state that ...
algebra 3 word problems12/1/2008
  Q: Solve the following word problems by setting up and equation. Show all work. 1. Sara and Elizabeth ...
  A: I am going to start with #5 because it is a standard word problem in algebra using a system of ...
Calculus12/1/2008
  Q: Carla Music Company estimates that the marginal cost of manufacturing its professional series guitar ...
  A: To find the total cost, you need to integrate C prime which is given to you as .002x+ 100. Now they ...
Pre Calculus11/30/2008
  Q: Find the angle (* theta) between two non-vertical lines L1 and L2. The angle (*theta) satisfies the ...
  A: I am going to assume that the tan(theta) = |(m2-m1)/m2*m1| You say to assume m1m2 does not equal 1, ...
calculus11/30/2008
  Q: Consider the third-degree polynomial f(x)=ax^3+bx^2+cx+d, a≠0. Determine conditions for a, b, ...
  A: Bill~ To obtain a horizontal tangent you need to take the first derivative and find the ...
Integration11/29/2008
  Q: Can you help me with the "indefinite integration of the square root of cosine(x)"? I have tried ...
  A: What an interesting question, it has motivated me to find an answer to this myself. I do not have ...
LIMITS(CALCULUS)11/28/2008
  Q: Lim [sin(3x+a)-3sin(2x+a)+3sin(x+a)-sin(a)]/x^3 x->0
  A: First you want to rewrite sin(3x a) using the trig identity sin (a b) = sin a cos b cos a sin b ...
algebra 311/26/2008
  Q: Find the equation of the given line(in standard form) 1. The line that passes through the points ...
  A: All lines have a slope called "m" =(y2-y1)/(x2-x1)where (x1,y1) is one of the points and (x2,y2) is ...
Alternate Solution11/26/2008
  Q: A few days ago I asked how to determine the solution to the following by using a weighted average: ...
  A: There are actually a number of ways to obtain this information but not knowing what your mathematics ...
locus11/25/2008
  Q: hey..i really needed help with how to figure out the equation of a parabola if the focus and vertex ...
  A: y^2=4ax is the equation of a parabola with vertex at (0,0) and focus at (a,0). The directrix is ...
simplifying11/24/2008
  Q: simplify: a^-6 b^10 divided by 5c^7 d^-2
  A: I tell my students to think of the numerator as the attic and the denominator as the basement and ...
Application of Disk/Washer System11/24/2008
  Q: What are the real life applications of the disk/washer integration system to find volume in ...
  A: Here is one example and there are many more: A CAT scan produces equally spaced cross-sectional ...
Distance11/23/2008
  Q: A bullet is fired at a target 4400 feet away. At what point along the path is the impact of the ...
  A: try this: Let s be the distance from where the gun is shot along the line to the target. Calculate ...
sequences11/23/2008
  Q: Explain the sequence and what is the next number? 1,11,21,1211,111221.... this is on 6th grade ...
  A: * Find the next number in the following sequence: 1, 11, 21, 1211, 111221,.... This ...
Implicit differentiation11/21/2008
  Q: i'm stuck with this question, i'm not really understood this topic, i dont know when to apply this ...
  A: First you need to find the 2nd derivative y". By the way, it is called implicit differentiation ...
Weighted Averages11/20/2008
  Q: Can you solve the following by using a weighted average calculation? An investor has $30,000 to ...
  A: I tell my students to set up a table of values and to label the variable let x = amount invested at ...
About Implicit differentiation11/19/2008
  Q: i have tried and i'm stuck, i dont know what kind of formula 2 use anymore.. I dont know when to ...
  A: I can help you with part b since I believe that problem is correctly written. You are given 3x^2 ...
Weighted Averages11/19/2008
  Q: Can you solve the following by using a weighted average calculation? An investor has $30,000 to ...
  A: I'm not sure what you are wanting to know. Are you wanting to know if the problem can be solved ...
alg11/18/2008
  Q: Graph and give me the points for the following parabolas and hyperbolas. For parabolas, list the ...
  A: First off 2 and 4 are parabolas. Do you know what a parabola looks like? They look sort of like an ...
log11/18/2008
  Q: x=log(3) 27 How do I figure this out? Thanks!
  A: The base is 3. You might want to review the definition of a log but basically this translates into: ...
analysis ?11/18/2008
  Q: Prove that if f(x) = e^x, then (a) f(x) is strictly increasing for all x in R; (b) lim as x goes to ...
  A: Take the derivative of e^x and it is of course e^x > 0 for all x so e^x is strictly increasing. lim ...

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Sherry Wallin

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I can answer most questions up through Calculus and some in Number Theory and Abstract Algebra.

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I have had my Bachelor's Degree since 1987 and have been a teacher since 1988. I earned my Masters Degree in Mathematics May 2010. I have been teaching at the same community college since 2002.

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I have taught 12 years at the community college level, medical college, and technical college as well as a high school instructor and alternative education instructor and charter school instructor.

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Master's GPA 3.56 Bachelor's GPA 3.34 Post grad work not degree related GPA 4.0

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