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.
95 because if you do the math you’ll get the answer
13/17 is at the lowest because they are both prime numbers.
Answer:
y=2x-5
Step-by-step explanation:
Slope is rise over run, or y/x
The points given were (0,-5) and (-1,-3)
Using y2-y1/x2-x1 we can find the slope.
-3-(-5)/-1-0 = 2/-1 = -2 = slope
Next, we have to find the y-intercept. The y-intercept is where the point on the line meets the y-axis.
This point is shown at -5.
Now, putting our information into y=mx+b (slope-intercept form)
y=2x-5
2 is our slope
-5 is our y intercept
Answer:
40 seconds
Step-by-step explanation:
The ratio would be 3:120, indicating the amount of times it went up for air in 120 seconds. In order to find the answer, we'll find the unit rate. 120 divided by 3 is evenly 40. That means, the unit rate is 1:40. It also means that 40 seconds went by before the manatee surfaced the first time (if it held its breath for the same rate).
