20500-7986=12514
The difference between 20 500 and 7 986 is 12 514.
72 is the volume because u multiply 12 times two then multiply by 6
The area of the garden enclosed by the fencing is
A(x, y) = xy
and is constrained by its perimeter,
P = x + 2y = 200
Solve for x in the constraint equation:
x = 200 - 2y
Substitute this into the area function to get a function of one variable:
A(200 - 2y, y) = A(y) = 200y - 2y²
Differentiate A with respect to y :
dA/dy = 200 - 4y
Find the critical points of A :
200 - 4y = 0 ⇒ 4y = 200 ⇒ y = 50
Compute the second derivative of A:
d²A/dy² = -4 < 0
Since the second derivative is always negative, the critical point is a local maximum.
If y = 50, then x = 200 - 2•50 = 100. So the farmer can maximize the garden area by building a (100 ft) × (50 ft) fence.
Answer:
C. The president rejects the hypothesis that the proportion of students who earn a bachelor's degree within six years is 0.398, when, in fact, the proportion is 0.398.
Step-by-step explanation:
A type I error occurs if you reject the null hypothesis when it is true.
Now the hypotheses are:

The proportion is 0.398

The proportion is less than 0.398
If in actual fact the proportion is 0.398, then the president must not reject the

.
This is a correct decision.
If in actual fact the proportion is 0.398, and the president rejects the

, then a type I error is committed.
The correct choice is C.
Answer:
1.) 8x+28 2.) 2(4x+14)
Step-by-step explanation:
simplify it by multiplying the 4
or
after simplifying you could divide by 2
option 1 is the best answer