Write the linear equation for each graph.
1 answer:
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Answer:
Step-by-step explanation:
a hemisphere is half a sphere.
And if the formula for the volume of a sphere is:
we must calculate the volume of the sphere and in the end divide by two to find the volume of the hemisphere.
Since the radius is:
substituting this into the formula for volume:
this is the volume of the total sphere, thus the volume of a hemisphere is:
rounding to the nearest tenth:
Using it's concept, it is found that the average rate of change of the function during the interval from 0 to 2 seconds is given by:
B. -32 ft/s; the average change in altitude of the ball each second over that interval.
<h3>What is the average rate of change of a function?</h3>The average rate of change of a function is given by the change in the output divided by the change in the input. Hence, over an interval [a,b], the rate is given as follows:
In this problem, the function is given by:
f(t) = -16t² + 100.
The outputs are given as follows:
- f(0) = -16(0)² + 100 = 100.
- f(0) = -16(2)² + 100 = 36.
Hence the average rate of change is given by:
r = (36 - 100)/(2 - 0) = -32 ft/s.
And the correct option is:
B. -32 ft/s; the average change in altitude of the ball each second over that interval.
More can be learned about the average rate of change of a function at brainly.com/question/24313700
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