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what does it mean if a triangle has lines of the sides of it?

Well, if you mean like this then it means the sides are the same length so this is an isosceles triangle.

(10^x)(8)=20^x find x

\((10^x)(8)=20^x \\ 2^x*5^x*2^3=2^x*2^x*5 ^x\\ 2^3=2^x\\ x=3\)

This can be solved with a simple system of equations.

Let a be the number of 11.50 discs you bought, and b the number of 7.50 discs you bought.

So:

11.50a + 7.50b = 110

a + b = 12

(the answer is 5)

You have 1.42mol O₂.

If 1mol is 6.022*10²³ molecules of O₂, then 1.42mol O₂ is equal to 1.42*6.022*10²³ molecules of O₂. This gives a total of approx. 8.55*10²³ molecules of oxygen gas.

I assume you mean with compass and ruler:

(d) You will need to measure the distance PX after you have actually constructed this!

.

If the ratio of the dimensions is 5:8 then the ratio of the volumes is 5^3:8^3

that is

125:512

what is the question?

Its 19 

area=

\(area=2\int_{0}^{0.5}\;\;6cos\pi x\;\;dx\;\; +\;\;|\;2\int_{0}^{0.5}\;\;12x^2-3\;\;dx\;|\\ area=2\int_{0}^{0.5}\;\;6cos\pi x\;\;dx \;\;-\;\;\;2\int_{0}^{0.5}\;\;12x^2-3\;\;dx\\ area=2[\;\;\frac{6 sin\pi x}{\pi}\;\;]_{0}^{0.5} \;\;\qquad-\;\;\;2[\;\;4x^3-3x]_{0}^{0.5}\\ area=\;2*\;\frac{6 sin(0.5\pi) - 6 sin(0)}{\pi} \;\;-\;\;\;2[\;\;(4*0.5^3-3*0.5)-(0)]\\ area=\;2*\;\frac{6 - 0 }{\pi} \;\;-\;\;\;2[-1]\\ area=\;\;\frac{12 }{\pi} \;\;+\;\;\;2\\ area=\frac{12+2\pi }{\pi}\qquad units^2 \)

Find f. f"(t)=9/sqrt(t),  f(4)=25, f'(4)=9

\(f''(t)=9t^{-0.5}\\ f'(t)=\frac{9t^{+0.5}}{0.5}+c=18t^{0.5}+c\\ f'(4)=9\\ 18*4^{0.5}+c=9\\ 18*2+c=9\\ 36+c=9\\ c=-25\\ f'(t)=18t^{0.5}-25\\ f(t)=\frac{18t^{1.5}}{1.5}-25t+k\\ f(t)=12t^{1.5}-25t+k\\ f(4)=25\\ 12*4^{1.5}-25*4+k=25\\ 12*8-100+k=25\\ -4+k=25\\ k=29\\ f(t)=12t^{1.5}-25t+29\\\)

I think this is how it goes, but Moderators, please verify:

V=πr^2h. Since the ratio of their dimentions is 5:8 or 1:1.6, the ratio of their volumes would be:

1: 1.6^2(r^2) x 1.6(h) =4.096, or:

1:4.096

Use this online calculator to get your answer:

http://keisan.casio.com/exec/system/1322718508

what is the least power of 12 that is divisible by 18 to the power of 180

12^n mod 18^180 =0, solve for n

n =399

20 percent

I need to know how to calculate the area. using the equations given. 

Yea could be the second one.

How many two-digit numbers exist such that the tens digit is larger than the ones digit?

If the tens digit is 9 then it is 9          0,1,2,3,4,5,6,7,8

If the tens digit is 8 then it is 8

..

If the tens digit is 0 then it is 0

9+8+7+6+5+4+3+2+1 = 

9+8+7+6+5+4+3+2+1 = = 45

Hi Game master:)

Cyril is going to buy a coat and a hat. The coat costs 3 times as much as the hat. He cannot spend more than $120. Write an inequality to describe this situation. 

Let H be the cost of a hat and let n be the number of hats

Let C be the cost of a coat and let k be the number of coats

C=3H

nH+kC<=120

nH+k(3H)<=120

nH+3kH<=120

H(n+3k)<=120

I was going to look at this one but the question is getting old and you are not a member (members get emailed about new answers if they want to be)  Also members havew the question automatically placed in their watch list and it shows if there is an unread answer.

Anyway - being a guest it means you likely won't even find the question or see the answer so what is the point?

Here you go - I did it for you

OR look it up on the net.

Thanks so much, CPhill! I forgot about completing the square. I appreciate your response!

f ''(x) = −2 + 18x − 12x^2,    f(0) = 8,    f '(0) = 14

find f(x)=

\(f ''(x) = −2 + 18x − 12x^2\\ f'(x)=-2x+9x^2-4x^3+k\\ f'(0)=14\qquad so\qquad k=14\\ f'(x)=-2x+9x^2-4x^3+14\\ f(x)=-x^2+3x^3-x^4+14x+c\\ f(0)=8 \qquad so\qquad c=8\\ f(x)=-x^2+3x^3-x^4+14x+8\\ \)