Answer:
120
Step-by-step explanation:
We are given that the function for the number of students enrolled in a new course is 
.
It is asked to find the average increase in the number of students enrolled per hour between 2 to 4 hours.
We know that the average rate of change is given by,
,
where f(x)-f(a) is the change in the function as the input value (x-a) changes.
Now, the number of students enrolled at 4 = f(4) = 
= 255 and the number of students enrolled at 2 = f(2) = 
= 15
So, the average increase 
= 
= 
= 120.
Hence, the average increase in the number of students enrolled is 120.
Answer:
V = 18816.57 in^3
Step-by-step explanation:
So we need to find the volume of the inner sphere. Try to picture the coconut as a circle with another circle inside of it. We know that the bigger circle is 55 inches wide, and the distance between the circumferences of the circles is 11 inches. that means the inner circle is 55 - 2(11) inches wide. This is because we have 11 inches of coconut meat on either side of the inner circle.
55 - 2(11) = 33 inches
The radius is half of the diameter, so r = 16.5 inches.
Now just use the formaula V = 
V = (4/3) * 3.14 * (16.5)^3
V = 18816.57 in^3
<em>Also, just a side note.. this is one big coconut..</em>
Answer:
784.16
Step-by-step explanation:
use the formula for simple interest =
P(1+r)^t
so
3180(1.065)^3.5 - 3180
3 5/9 divided by -2 2/3
change the mixed numbers to improper fractions
3 5/9 = (9*3+5)/9 = 32/9
-2 2/3 = -(3*2+2)/3 = -8/3
32/9 divided by -8/3
copy dot flip
32/9 * -3/8
-96/72
divide top and bottom by 24
-4/3
=-1 1/3
Answer: - 1 1/3
The idea is to pair up the terms, factor each sub-group, and then pull out the overall GCF to fully factor.
x^3+5x^2-6x-30
(x^3+5x^2)+(-6x-30)
x^2(x+5)+(-6x-30)
x^2(x+5)-6(x+5)
(x^2-6)(x+5)
-------------
Answer: (x^2-6)(x+5)
