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:
The answer is y = 2/3x - 22/3
Answer:
1/14:5/7:3/14
Step-by-step explanation:
Since orange=15
Apple=5
Coconut milk=50
50+15+5
70
So
Orange=15/70
Divide both by 5
=3/14
Apple=5/70
Divide both by 5
=1/14
Coconut milk=50/70
Divide both by 10
=5/7
So the ratio of apple to coconut to orange
1/14:5/7:3/14
Answer:
The 99% confidence interval for the mean number of hours of part-time work per week for all college students is between 25.8 and 30.2.
Step-by-step explanation:
A confidence interval has the following format.

In which
is the mean of the sample and M is the margin of error.
In this problem, we have that:



The 99% confidence interval for the mean number of hours of part-time work per week for all college students is between 25.8 and 30.2.
Answer:
Area = 37.5
Perimeter = 36
Step-by-step explanation:
Have a good day! :)