Answer:
18
Step-by-step explanation:
f(x) = 2(1/3)^x
[x = -2]
f(-2) = 2(1/3)⁻²
= 2(9)
= 18
The perimeter of each is the sum of the lengths of its sides.
Triangle Perimeter = 16 + 4x-3 +3x = 7x+13
Square Perimeter = 2x +2x +2x +2x = 8x
If these are equal, you have

The length of a side of the square is 26 units.
Answer:
Slope = 2
Step-by-step explanation:
Slope = 20/10 = 2
Answer:
6
Step-by-step explanation:
If p equals 15 then plug 15 in for p and take 15-9=6. pretty sure that's what they are looking for there.
Answer:
The rate of change in surface area when r = 20 cm is 20,106.19 cm²/min.
Step-by-step explanation:
The area of a sphere is given by the following formula:

In which A is the area, measured in cm², and r is the radius, measured in cm.
Assume that the radius r of a sphere is expanding at a rate of 40 cm/min.
This means that 
Determine the rate of change in surface area when r = 20 cm.
This is
when
. So

Applying implicit differentiation.
We have two variables, A and r, so:



The rate of change in surface area when r = 20 cm is 20,106.19 cm²/min.