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:
10n -11 =3 + 4n + 6n
10n - 10n -11 =3-3 + 4n + 6n
-11 - 3 = -10n + 4n + 6n
-14= -10n + 10n
-14 = n
Step-by-step explanation:
10n -11 =3 + 4n + 6n
10n - 10n -11 =3-3 + 4n + 6n
-11 - 3 = -10n + 4n + 6n
-14= -10n + 10n
-14 = n
Answer:C. Easy
Step-by-step explanation:
The survey was intended for Bill's middle school during the summer. The
survey was administered to students of other schools on a Saturday.
- The type of error is the <u>selection bias error</u>.
Reasons:
The type of error made is a non sampling error, given that the target of the
study is the number of times in a week students at his middle school
attend the beach during the summer.
The errors are; Selection bias error.
- The given that the students survey are not from his middle school.
- The survey was carried out once on a Saturday, where the target was during the summer.
The selection bias error is a type error that is due to the researcher
chooses what to study, such that the participant have common
characteristics rather than being random.
Learn more about selection bias error here:
brainly.com/question/13727092
Not 100% sure this is right but
60cm^2