Answer:
c. 
Step-by-step explanation:
We have been given that the area in square units of an expanding circle is increasing twice as fast as its radius in linear units
We will use derivatives to solve our given problem.
We know that area (A) of a circle is equal to 
.
Let us find derivative of area function with respect to time.
Bring out constant:
Using power rule and chain rule, we will get:
Here 
represents change is radius with respect to time.
We have been given that area of an expanding circle is increasing twice as fast as its radius in linear units. We can represent this information in an equation as:
Therefore, the radius is and option 'c' is the correct choice.
The equation to find volume is V=
r²h and you know all of your numbers other than h so you plug all that in. 100=3.14×2²×h → 100=3.14×4×h → 100=12.56×h → Divide 12.56 from both sides 100÷12.56=12.56×h÷12.56 → 7.96cm=h.
I hope that helps!
Answer:
528
Step-by-step explanation:
Question: 16 + 
* 2 ÷ 16
Work:
= 64
2/16 = 0.125
64/0.125 = 512
512 + 16 = 528
Y-2=-3/2(x-2)
first of all, the slope of the line is -3/2, and there's only one equation that has that as a choice for the slope. Then you can take the x and y coordinates given in that equation you want to check and see if the line goes through that point. from the equation, (point-slope form y-y=m(x-x)) I know that the line should pass through point (2, -2), and looking at the graph, that is correct.
