Let the length = x
2 lengths are 2x.
Then you have 400 - 2x for both widths, so the width is 200 - x.
The are if the rectangle is
y = x(200 - x)
y = 200x - x^2
y = -x^2 + 200x
Take the first derivative ans set equal to zero to find a maximum value.
y' = -2x + 200
-2x + 200 = 0
-2x = -200
x = 100
Since the side of the rectangle is 100, all sides measure 100 ft, and you have a square.
The maximum area is 100 ft * 100 ft = 10,000 ft.
Answer:
C
Step-by-step explanation:
Th explicit formula of a geometric sequence has the following format:

Where a is the initial term and r is the common ratio.
From the recursive formula, we can see that each subsequent term is multiplied by 13. Thus, the common ratio is 13.
Also, we are given that the first term is 7.
So, substituting these in, we have:

Our answer is C
And we're done!
Answer:
m=217 miles/31 days
Step-by-step explanation:
Carl has to run 217 miles in 31 days; to find the number of miles
he needs to run per day, he should divide the number of miles he has to run (217 miles ) by the number to days he will run ( 31 days):


Carl has to run 7 miles per day. We can confirm this result by multiplying this by 31 days, and we should get 217 miles:

Answer:
5 hours
Step-by-step explanation:
Each person works at a rate 1/100 of wall completed per hour.So five men working at the rate would be 5/100. So, it would...