Answer:
It will take about 35.49 hours for the water to leak out of the barrel.
Step-by-step explanation:
Let
be the depth of water in the barrel at time
, where
is measured in inches and
in hours.
We know that water is leaking out of a large barrel at a rate proportional to the square root of the depth of the water at that time. We then have that

where
is a constant of proportionality.
Separation of variables is a common method for solving differential equations. To solve the above differential equation you must:
Multiply by

Multiply by 

Take integral

Integrate

Isolate 

We know that the water level starts at 36, this means
. We use this information to find the value of
.


At t = 1, y = 34

So our formula for the depth of water in the barrel is

To find the time,
, at which all the water leaks out of the barrel, we solve the equation

Thus, it will take about 35.49 hours for the water to leak out of the barrel.
A poet and a poem I think, but he also compares her to a garden and a flower.
Answer:
3x+2x=20
5x=20
x=4
Tyler's number is 4.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Time is the independent variable here. The tank is being filled and the amount of water in it is dependent on how much time passes by.
This is a straight line function (linear function); the rate at which the tank is filled is:
750 m^3
----------------
1 hr