(alternate segment theorem)
(angles in a triangle add to 180 degrees)
I believe she messed up in Step 2, it wouldnt be 7/8 it would be 6/8
Answer:
Step-by-step explanation:
A) -2 -1 0 1 2
6, 1, 0, 3 10
b)The orange curve
For the function to be differentiable, its derivative has to exist everywhere, which means the derivative itself must be continuous. Differentiating gives

The question mark is a placeholder, and if the derivative is to be continuous, then the question mark will have the same value as the limit as

from either side.


So the derivative will be continuous as long as

For the function to be differentiable everywhere, we need to require that

is itself continuous, which means the following limits should be the same:



So, the function should be

with derivative
There is a drive that is 3/8 full => it is 1-3/8 = 5/8 empty.
The other drive is 2/5 full => it is 1-2/5 = 3/5 empty.
a) The fraction of the total amount of empty storage space is : 5/8 + 3/5 = 25/40 + 24/40 = 49/40.
b)
The first drive is : 750 x 5/8 = 468.75 gigabytes (free)
The second drive is : 750 x 3/5 = 450 gigabytes (free)
So, he has a total of 1018.75 free gigabytes left.
He will have enough space to download 150 gigabytes of data.
(If anything is wrong lmk, i'll fix it asap)