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:
<em>Answer:</em>
<em>-24, 48, -96</em>
<em>Step-by-step explanation:</em>
<em>The number before multiplies by -2.</em>
<em>3*-2=-6</em>
<em>and so on. </em>
<em>Hope this helps. Have a nice day.</em>
Answer: use socratic you take a picture of the problem and it does it.
Answer: 11, 45, 45, 54, 520
Answer:
30
Step-by-step explanation: