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:
D. y=2x(4×2)
Step-by-step explanation:
y=8 and x=4 and they are asking about the books that Maggie read how they the books re equal to the ones Rahul read. so y will be equal to x times 2 which is also x+x.
Hope I helped!
The answer to this question is 5/6
Answer:
-4
Step-by-step explanation:
look at the screenshot
The function models Exponential Decay due to the fact that as
x -> infinity, y-> 0