Mathematics

Basic circles question (x^2 + y^2 -8x -2y -3 = 0)

A circle with centre C has equation x²+y²-8x-2y-3=0. i) The points S and T lie on the circumference of the circle. M is the midpoint of the chord ST. Given that the length of CM is 2, calculate the l

Word problem from an old book

Problem: A boy was sent for $1.20 worth of eggs. On his way home he broke five eggs and thereby he paid twenty-fourcents more per dozen of eggs. How many eggs did he buy? How would one go about setti

Triangle with sides 1,1,5x has same area as triangle with sides 1,1,12x. What is x

Find the exact numeric value of x.-Both triangles are isosceles (2 sides the same), so use the unique side as the base.Then you can find the height of the triangle by looking at the right triangle for

Permutations and combinations help!!!

If nC6 = nC4, find the value of n. the clue is (n-4)(n-5)=30. but i do not know how to get that. PLEASE HELP! THANKS!-nC6 = nC4 => n! / (n-6)!6! = n! / (n-4)!4! =>(n-6)!6! = (n-4)!4![ after elimina

Mathematical induction - how-to

I know its not that hard, but Im not getting it. Prove by induction that 2 divides n^2 + n whenever n is a positive integer. Does anybody know?-Three-fold path of Mathmatical Induction: 1. Show that

How do i calculate the standard deviation from these results

its about life expectancy over fertility rate anyway how do i calculate the standard deviation from these results? Life expectancy Fertility rate 82.25 /1.21 81.81 /1.78 81.07 /1.46 80.9/1.89 80.05

Anyone Good at SIMPLIFYING and factoring? 5STARS 10pts

Please n thanks 1) (5b)^4 (6c)^2 2) (13x-1) (x+3) 3) (x^4 - x^3 - 10x^2 + 4x + 29) ÷ (x - 2) Factor completely. If the polynomial is not favorable, write prime 4) x^2 - 14x + 45 4)-1) (5b)^4

Normal Distribution Statistics Problem

Hey Guys, Please help me with my Statistics Problem: Below are descriptions of a number of different distributions. Indicate which are most likely or least likely to approximate a normal distributio

Twenty two decreased by 2 times a number yields eight

OK 22 - 2x = 8 -2x = -14x x = 7 Proof: 22 - 2(7) = 8? 22-14 = 8?? 8 = 8 YES!! Hope that helps.-its a word problem, which you have to convert into an equation. you start with 22, and it is decrease

Can you help Evaluate 4!

Express the expression as a product of factors. 6! There are 5 participants in a potato sack race. Find the number of orders in which the participants can finish. Evaluate the expression. 8!/6! Eva

EASY QUESTION ABOUT PARTIAL FACTORING 10 POINTS

for the equation 3x (x-4) - 7 why is 0 one of the roots, it does not make the bracket equal to 0 like, i know 4 is one, but WHY 0-A root of an equation is the value of x for which y = 0 so its not th

Which of the following functions is the result of translating f(x)=x^3 one unit right and one unit down

g(x)=(x-1)^3-1 g(x)=(x+1)^3-1 g(x)=(x-1)^3+1 g(x)=(x+1)^3+1-the answer is: g(x)=(x-1)^3-1 In ANY function, a constant that is not grouped with X DIRECTLY shifts the graph in the Y direction. So th

Please help with this simple word problem

A rectangular field is to be bounded by a fence on three sides and by a straight stream on the fourth side. a) Find the exact areaof the field with maximum area that can be enclosed using 13,457 fee

Can anyone help me please, thank you so much.

Find the area of the region that lies inside the circle r =1 and outside the cardioid r = 2-2cos(teta).-I like to sketch the region if possible.If you sketch the cardioid, youll find that it is a side

Simplify expression help

sin(2pi -a)tan[(pi/2) +a] --------------------------------------… -- = Result: 1 cos(2pi +a)tan[(3pi/2)-a]tan(pi+a) I dunno how to simplify this, maybe something like this: Top: =sin(2pi -a)tan[(pi/2