So with this equation, since the volume of the cylinder is 96 pi, plug that into the V variable, and since the radius of one of the marbles is 3, plug that into the r variable. From here, we can solve for x: ![96\pi =24\pi +x(\frac{4}{3}\pi*3^3)](https://tex.z-dn.net/?f=%2096%5Cpi%20%3D24%5Cpi%20%2Bx%28%5Cfrac%7B4%7D%7B3%7D%5Cpi%2A3%5E3%29%20)
Firstly, solve the parentheses: ![96\pi =24\pi +x(\frac{4}{3}\pi*27)\\ 96\pi =24\pi +x(36\pi)](https://tex.z-dn.net/?f=%2096%5Cpi%20%3D24%5Cpi%20%2Bx%28%5Cfrac%7B4%7D%7B3%7D%5Cpi%2A27%29%5C%5C%2096%5Cpi%20%3D24%5Cpi%20%2Bx%2836%5Cpi%29%20)
Next, multiply 36 pi and x: ![96\pi = 24\pi +36\pi x](https://tex.z-dn.net/?f=%2096%5Cpi%20%3D%2024%5Cpi%20%2B36%5Cpi%20x%20)
Next, subtract 24 pi on both sides: ![72\pi =36\pi x](https://tex.z-dn.net/?f=%2072%5Cpi%20%3D36%5Cpi%20x%20)
Lastly, divide both sides by 36 pi, and your answer will be
, or B.
Answer:
-81
Step-by-step explanation:
replace the numbers you were given in a or b.
so
6(-12) -1(-1 – 2 – 6(2)) + 4(-1)(2(2) -1) -12
I think it's 400 inches^2 because 23x4x4=268 and 4x4x2=32. Add them together to get 400.
Hi there
To find The interest rate the formula is
R=I÷pt
r interest rate?
I interest earned 622.5
P principle 12450
T time 1 year
So
R=622.5÷(12,450×1)
R=0.05×100=5%
Hope it helps
Answer:
A.
Step-by-step explanation:
As x approaches positive infinity, f(x) approaches positive inifinty.