Answer:
a) Depth changing rate of change is
, When the water is 6 meters deep
b) The width of the top of the water is changing at a rate of
, When the water is 6 meters deep
Step-by-step explanation:
As we can see in the attachment part II, there are similar triangles, so we have the following relation between them
, then
.
a) As we have that volume is
, then
, so we can derivate it
due to the chain rule, then we clean this expression for
and compute with the knowns
, is the depth changing rate of change when the water is 6 meters deep.
b) As the width of the top is
, we can derivate it and obtain
The width of the top of the water is changing, When the water is 6 meters deep at this rate
Answer:
x>6
Step-by-step explanation:
2x > 16-4
x > 12/2
x > 6
Answer:
99 minutes, or an hour and 39 minutes.
Step-by-step explanation:
It takes Emma 18 minutes to do 14 pages. That means that we can set up a proportion, where Emma uses 18 minutes to do 14 pages, which is equal to x minutes per page!

14x = 18
7x = 9
x = 9/7
So, each page takes 9/7 minutes for Emma to finish.
She will do 77 pages. 77 * (9/7) = 11 * 9 = 99.
So, it will take Emma 99 minutes, or an hour and 39 minutes, to type and spell check 77 pages.
Hope this helps!
Answer:
1. 76.5 days 2. $57.69 per day
Step-by-step explanation:
Answer: x= ±(√30) / 5
Step by step: