Answer:
see explanation
Step-by-step explanation:
Given
s(t) = 10t²
To find s(2) and s(5) substitute t = 2 and t = 5 into f(t)
(a)
s(2) = 10 × 2² = 10 × 4 = 40
s(5) = 10 × 5² = 10 × 25 = 250
(b)
s(5) - s(2) = 250 - 40 = 210
This represents the distance travelled in 3 hours
(c)
The average rate of change is measured as
=
=
= 70 miles per hour
General Idea:
We need to find the volume of the small cube given the side length of the small cube as 1/4 inch.
Also we need to find the volume of the right rectangular prism with the given dimension (the height is 4 1/2, the width is 5, and the length is 3 3/4).
To find the number of small cubes that are needed to completely fill the right rectangular prism, we need to divide volume of right rectangular prism by volume of each small cube.
Formula Used:
Applying the concept:
Volume of Small Cube:
Conclusion:
The number of small cubes with side length as 1/4 inches that are needed to completely fill the right rectangular prism whose height is 4 1/2 inches, width is 5 inches, and length is 3 3/4 inches is <em><u>5400 </u></em>