The factored form is (x - 8)(x + 2).
(x - 8)(x + 2)
x^2 + 2x - 8x - 16
x^2 - 6x - 16
if the sphere has a diameter of 5, then its radius is half that, or 2.5.
![\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=2.5 \end{cases}\implies V=\cfrac{4\pi (2.5)^3}{3}\implies V=\cfrac{62.5\pi }{3} \\\\\\ V\approx 65.44984694978736\implies V=\stackrel{\textit{rounded up}}{65.45}](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Bvolume%20of%20a%20sphere%7D%5C%5C%5C%5C%20V%3D%5Ccfrac%7B4%5Cpi%20r%5E3%7D%7B3%7D~~%20%5Cbegin%7Bcases%7D%20r%3Dradius%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20r%3D2.5%20%5Cend%7Bcases%7D%5Cimplies%20V%3D%5Ccfrac%7B4%5Cpi%20%282.5%29%5E3%7D%7B3%7D%5Cimplies%20V%3D%5Ccfrac%7B62.5%5Cpi%20%7D%7B3%7D%20%5C%5C%5C%5C%5C%5C%20V%5Capprox%2065.44984694978736%5Cimplies%20V%3D%5Cstackrel%7B%5Ctextit%7Brounded%20up%7D%7D%7B65.45%7D)
Answer:
1. 
2. 7
3. 18
Step-by-step explanation:
Question 1:
Given:
The expression to simplify is
.
We use the property of exponent 
Therefore, 
Question 2:
Given:
The expression to simplify is
.
We add the fractions first inside the parenthesis.
So, 
Now, 
Question 3:
The first five prime numbers are 1, 2, 3, 5, and 7.
Therefore, the sum of these five numbers is given as:

Answer:
x = - 9
Step-by-step explanation:
First, divide 1 by 3 and 1 by 2.
1 divided by 3 = <span>0.33333333333
1 divided by 2 = 0.5
Add them up. </span>0.33333333333 + 0.5 = <span>0.83333333333.
Divide </span>0.83333333333 by 2, since there are 2 numbers we added up. 0.83333333333 / 2 = 0.41666666666, and <span>0.41666666666 as a fraction is 5/12.</span>