Answer:
i believe the answer is C
Step-by-step explanation:
i dont know its just what i would choose im not the smartests in math
Answer:
See the attachment photo!
Answer:(-1,-2)
Step-by-step explanation:
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:
Rhian did better in the Math test.
Step-by-step explanation:
Given: Rhian scored
out of
in a Math test. In the English test she scored
out of
.
To find: In which test did she do better?
Solution:
We have,
Rhian scored
out of
in a Math test.
Rhian scored
out of
in an English test.
So, first we need to find the percentage of the marks scored.
Percentage in the Math test
.
Percentage in the English test
.
Clearly, the percentage in the Math test is greater than the percentage in the English test.
So, Rhian did better in the Math test.