Answer:
See below for answers and explanations
Step-by-step explanation:
<u>Part A</u>
The average rate of change of a function over the interval
is equal to
, hence:

Therefore, the average rate of change of
over the interval
is
.
<u>Part B</u>
Do the same thing as in Part A:

Therefore, the average rate of change of
over the interval
is
.
<u>Part C</u>
To interpret our answer from Part B in terms of the real world it represents, we say that between 0.25 seconds and 1 second, the ball falls at a rate of 4 feet per second (since our average rate of change is negative).
First, we can choose the seats for the four mathematicians. Then we seat the physicits, then the engineer. There are 4! ways to seat the mathematicians, then 3! ways to seat the physicists, then 1! ways to seat the engineer. But then we must divide by 8, because we can rotate the table, so there are 8!*4!*3!/8 = 725760 ways to seat everyone.
Where the line segment A starts is home
1 hour = 50 km
3 hours = 50 x 3 = 150 km
Answer: The car would go for 150 km in 3 hours.
Answer:
the answer is 32 to the 3rd power
Step-by-step explanation: