Answer:
C. 
General Formulas and Concepts:
<u>Calculus</u>
- Mean Value Theorem (MVT) - If f is continuous on interval [a, b], then there is a c∈[a, b] such that

- MVT is also Average Value
Step-by-step explanation:
<u>Step 1: Define</u>

f'(c) = 20
Interval [1, b]
<u>Step 2: Check/Identify</u>
Function [1, b] is continuous.
Derivative [1, b] is continuous.
∴ There exists a c∈[1, b] such that 
<u>Step 3: Mean Value Theorem</u>
- Substitute:

- Rewrite:

And we have our final answer!
The mean of the data set is 26 because the sum of all the data points divided by the number of data points is 26.4 repeating which rounds to 26.
5 shirts for $21
the 6 deal would be $4.25 for each shirt
4 deal would be $4.50 for each shirt
and the 5 deal is the cheapest because its $4.20 for each shirt
Answer:You could not use a table with a top that is 2 1/2 feet long and 1 1/2 feet wide
Step-by-step explanation:
The complete question is
Elena needs to find a table that will fit three cube-shaped cases, each containing a frog.If the volume of each case is 1,000 cubic inches, could she use a table with a top that measures 2 1/2 feet long and 1 1/2 feet wide?Explain
step 1
Find the length side of the cube-shaped case
we know that
The volume of the cube is equal to
where
b is the length side of the cube
we have
substitute
solve for b
step 2
Convert feet to inches
we have
step 3
Compare the dimensions of the table with the dimensions of the cube-shaped case
30 > 10
The length of the table is greater than the length side of the cube
18> 10
The width of the table is greater than the length side of the cube
therefore
You could not use a table with a top that is 2 1/2 feet long and 1 1/2 feet wide