√8 = √(4x2) = 2√2
4√2 =4√2
2√2-4√2 = -2√2
If you're trying to solve for y
-2y = 8
Divide -2 to both sides

Cancel out the -2 on the left, Divide the -2 to the 8 on the right so
y = -4
Answer:

Step-by-step explanation:

Answer:
1/14
Step-by-step explanation:
P(red, then black) =
·
=
=
(simplifed form)
At any time
(min), the volume of solution in the tank is

If
is the amount of salt in the tank at any time
, then the solution has a concentration of
.
The net rate of change of the amount of salt in the solution,
, is the difference between the amount flowing in and the amount getting pumped out:

Dropping the units and simplifying, we get the linear ODE


Multiplying both sides by
allows us to identify the left side as a derivative of a product:



Integrate and divide both sides by
to get

The tanks starts off with 30 lb of salt, so
and we can solve for
to get a particular solution of
