Answer:
1: r = 2.4 cm
2: V = 57.8765 cm^3
Step-by-step explanation:
1:
The volume of a sphere is given by V = (4/3) * pi * (r^3), being 'r' its radius.
So if the volume is 463.01 cm^3, we have that:
463.01 = (4/3) * pi * (r^3)
463.01 * 3 = 4 * 3.14 * r^3
r^3 = 463.01 * 3 / (4 * 3.14) = 110.59156
r = 4.8 cm
2:
The radius of the second sphere is 4.8/2 = 2.4 cm, so its volume is:
V = (4/3) * 3.14 * (2.4^3) = 57.8765 cm^3
Answer:
36%
Step-by-step explanation:
Answer:
Option B
Step-by-step explanation:
Numerator:
![=\dfrac{3- 4x -4*(-1)}{x-1}=\dfrac{3-4x+4}{x-1}\\\\\\=\dfrac{-4x+7}{x-1} \: \textbf{ [Combine like terms]}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B3-%204x%20-4%2A%28-1%29%7D%7Bx-1%7D%3D%5Cdfrac%7B3-4x%2B4%7D%7Bx-1%7D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B-4x%2B7%7D%7Bx-1%7D%20%5C%3A%20%20%5Ctextbf%7B%20%5BCombine%20like%20terms%5D%7D)
Denominator:
![\bf = \dfrac{-4x+7}{x-1}*\dfrac{x-1}{2(x-2)} \ \ \ \textbf{ [(x-1) in the numerator and denominator will be cancelled]}\\\\\\=\dfrac{-4x+7}{2(x-2)}](https://tex.z-dn.net/?f=%5Cbf%20%3D%20%5Cdfrac%7B-4x%2B7%7D%7Bx-1%7D%2A%5Cdfrac%7Bx-1%7D%7B2%28x-2%29%7D%20%5C%20%5C%20%5C%20%20%5Ctextbf%7B%20%5B%28x-1%29%20in%20the%20numerator%20and%20denominator%20will%20be%20cancelled%5D%7D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B-4x%2B7%7D%7B2%28x-2%29%7D)
Answer:
C. -n - 2
Step-by-step explanation:
Since there are no parenthesis for 3n + 2, you only distribute the 2 to (-2n - 1):
3n - 4n - 2
-n - 2
