Answer: The amount of salt in the tank after 8 minutes is 36.52 pounds.
Step-by-step explanation:
Salt in the tank is modelled by the Principle of Mass Conservation, which states:
(Salt mass rate per unit time to the tank) - (Salt mass per unit time from the tank) = (Salt accumulation rate of the tank)
Flow is measured as the product of salt concentration and flow. A well stirred mixture means that salt concentrations within tank and in the output mass flow are the same. Inflow salt concentration remains constant. Hence:

By expanding the previous equation:

The tank capacity and capacity rate of change given in gallons and gallons per minute are, respectivelly:

Since there is no accumulation within the tank, expression is simplified to this:

By rearranging the expression, it is noticed the presence of a First-Order Non-Homogeneous Linear Ordinary Differential Equation:
, where
.

The solution of this equation is:

The salt concentration after 8 minutes is:

The instantaneous amount of salt in the tank is:
Answer:
where's the question...?
Step-by-step explanation:
Answer:
Graph A and C
Step-by-step explanation:
Because for every x point there is just one y point.
Answer:
2/3 [3x - 15] =x-10
open the brackets first
[2/3 x3x] -[2/3 x15 =x - 15
2x - 10 =x - 10
put the like terms together
2x -x =-10 +10
x=0
Step-by-step explanation: