Answer:
x = 14
Step-by-step explanation:
Step 1: First, Simplify the fraction.
Step 2: Next, Multiply both sides by 7.
4x = 8 × 7
Step 3: Simplify 8 × 7 to 56.
4x = 56
Step 4: Then, Divide both sides by 4.
Step 5: Lastly, Simplify the fraction and you're done!
x = 14
The degree of the polynomial is 7
So Volume of cylinder is pi*r^2*h = 1,000
Then lightest one means you have the smallest surface area. Which is one base and then the area of the surface. SA = pi*r^2 + 2pi*r*h
So now you have 2 equations, so:
h = 1,000/(pi*r^2)
So then SA = pi*r^2 + 2pi*r*(1,000/(pi*r^2) = pi*r^2 + 2,000/r
Derivative of SA is then 2pi*r -2,000/r^2. Set to 0
2pi*r-2,000/r^2 =0 --> 2pi*r^3 = 2,000 --> r^3 = 1,000/pi --> r = 10/pi^(1/3)
Now go back to the volume function: pi*r^2*h =1,000 --> 1,000/(pi*100/pi^(2/3)) = h
<span>h = 10 / pi^(1/3)</span>
Answer:
1st Option
Step-by-step explanation:
Average rate of change formula: 
Simply plug in 8 as a and 6 as b.
Use a calculator you should get 36.156
