The formula for volume is Length x width x height.

Bottom: 18 * 12 * 8 = 1728 cubic centimeters.

Middle: 12 * 8 * 6 = 576 cubic centimeters.

Top = 4 *4*4 = 64 cubic centimeters.

Total: 1728 + 576 + 64 = 2368 cubic centimeters.

8 0

2 years ago

Colin has several bottles of water. Each bottle of water holds 3 cups. During the day, he drinks 7 cups of water. How many bottl

Natasha_Volkova [10]

Divide total cups he drank by the # of cups in each bottle.

7 ÷ 3= 2.3333

Since each bottle only holds 3 cups, he drank 3 bottles of water. He didn't drink all the water in the third bottle, but he started drinking the third bottle.

ANSWER: 3 bottles

Hope this helps! :)

4 0

2 years ago

Whats the intrgral of <img src="https://tex.z-dn.net/?f=%20%5Cint%20%20%5Cfrac%7Bx%5E2%2Bx-3%7D%7B%28x%5E3%2Bx%5E2-4x-4%29%5E2%7

rosijanka [135]

$\displaystyle\int\frac{x^2+x-3}{(x^3+x^2-4x-4)^2}\,\mathrm dx$

Notice that $x^3+x^2-4x-4=x^2(x+1)-4(x+1)=(x-2)(x+2)(x+1)$ . Decompose the integrand into partial fractions:

$\dfrac{x^2+x-3}{(x-2)^2(x+2)^2(x+1)^2}$
$=\dfrac1{3(x+1)}-\dfrac{11}{32(x+2)}-\dfrac1{3(x+1)^2}-\dfrac1{16(x+2)^2}+\dfrac1{96(x-2)}+\dfrac1{48(x-2)^2}$

Integrating term-by-term, you get

$\displaystyle\int\frac{x^2+x-3}{(x^3+x^2-4x-4)^2}\,\mathrm dx$
$=-\dfrac1{48(x-2)}+\dfrac1{3(x+1)}+\dfrac1{16(x+2)}+\dfrac1{96}\ln|x-2|+\dfrac13\ln|x+1|-\dfrac{11}{32}\ln|x+2|+C$

5 0

3 years ago

Car insurance companies want to keep track of the average cost per claim. The current data in use for Auto Insurance R Us is an

anygoal [31]

Answer:

The answer is 5%

6 0

1 year ago