Answer:
Step-by-step explanation:
p=
,
(22+6)2-21=
44+12-21=
35=,
If you factor out the equation, you get that 35=4p(if you factor it out)
Therefore,
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:
3
Step-by-step explanation:
12/3=4
57/3=19
Answer:
D<Q≤2 Or D<Q Q+D≤2
Step-by-step explanation:
I'm pretty sure this is the answer but it's been a while since I've done system of inequalities. Essentially the value and number of dimes is less than the value and number of quarters. And the value of both is less than or equal to 2 dollars
The Correct choices are :
- the dependent variable is y
- the rate of change is not constant
- independent variable is x
- This is a negative relationship
- The relationship is nonlinear
