Mathematics

Solve this Math question (I made it up)

1/3 of Joys total score is equal to 5/6 of Peters total score. Find the ratio of Joys total score to Peters total score. (Answer in simplest form)-I find it helps to start with an assumed score, if we

One of my friends told me that the sum of interior angles in a pentagon is 6 ( in terms of right angles ).

Can you explain about that ? Thanks.-Your friend is right. The sum of the internal angles of a pentagon is 540 degrees. 540 degrees=6right angles( ==>6 X90 degrees=540degrees ) To find the sum of th

Explain why d/dx tan^2 (x) is equal to 2(tan x). d/dx(tan x)

theres a differentiating technique in calculus called the chain rule note that tan^2(x) = (tan(x))^2 its just another way of writing it. y = (tan(x))^2 put u = tan(x) that means y = u^2 dy/dx = dy/

Discrete Probability Union and Subset

Suppose P (A) = 0.33, P(B) = 0.38, P(C) = 0.39, P(A ∩ B) = 0.13, P(A ∩ C) = 0.11, P(B ∩ C) = 0.21, and P(A ∩ B ∩) = 0.08. Find P(A ∪ B ∪ C).-P(A ∪ B ∪ C) = P(A) + P(B) + P(C) - P(A ∩ B) - P(A ∩ C) - P

How do I work these questions out

Question one: y = x + 3 (1) y = -x + 2 (2) Question two: y = 3x + 4 (1) y = 2x + 1 (2)-Add the equations to each other. Then you will have 2y=5 for the first set. Now you can find y which is 5/2 an

F(x)= x^4-4mx²+2, find m, so that f(x) has three max/min points which form

a triangle whose barycenter is at the origin? so y= 4x³-8mx =0, x=0, or x=± √(2m) let A(0,2, B(√(2m), f(√(2m)) and C( -√(2m), f(-√(2m)) How do I locate the barycenter which satisfies the question? tha

Math help: Solve for variable Q

Not sure how to do this b/c there are two Qs in the problem...do i have to use parameters or something? r=Qs/m+Q-r(m+q) = qs rm+rq=qs rm = qs-rq rm = q(s-r) q = rm/s-r

Orthogonal trajectories

Hi im having some trouble with this questionfind the orthogonal trajectory for the following family of curvesand sketch on the same set of axes at leaast three members of each of the two families. 3x^

What is the derivative of -sec^3(2x)

Im not sure of what to do first. I started like this: y=-6(sec2x*tan2x)^2 But the answer is supposed to be y=-6sec^3(2x)tan2x What am i doing wrong? Thanks in advance!-Apply the chain rule one step at

Is this answer right ? Use the substitution method to solve the following system of equations.

x + y = 3 2x + 2y = 10 a.No Solutions b.(2, 3) c.Infinitely Many Solutions d. (1, 2) Help please-no solution. y=3-x 2x+2(3-x)=10 2x+6-2x=10 0=4 a) no solution-...there is no work...there is no answ

Question below as word limit not enough

Peter spent $540 on a guitar.He spent 1/7 of his remaining money on a watch.He still had 3/8 of his money left.How much money had he at first?-Let x be the money he had before he bought items (x - 54

Evaluate the limit, easy for experienced

lim x -> ∞;5e^-x + 2 / 2e^-x + 5 Steps preferred. Thanks in advance.-lim(x->∞) (5e^(-x) + 2) / (2e^(-x) + 5) lim(x->∞) ((5/e^x) + 2) / ((2/e^x) + 5) (0 + 2) / (0 + 5) 2/5

Groups - normaliser problems

Let G be a group and let H be a subgroup of G. The normalizer of H in G, written NG(H) (with G as a subscript), is defined by NG(H) = {g ∈ G| gHg^−1 = H}. (Remember that gHg^−1 = H is an equality of s

Statistics Question 3

A random sample of 13 health maintenance organizations (HMOs) was selected. For each HMO, the co-payment (in dollars) for a doctors office visit was recorded. The results are as follows: 11 5 7 8 10

How do you write this as a more simple form without fractions (3x+1/4)/(1/4)

The answer is 12x+1 but how do I get to this-First replace the fractions with numbers. (3x + 0.25) / 0.25 Dividing by 0.25 is the same as multiplying by 4. (3x + 0.25) * 4 Multiply everything in the