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 is 67.5
To get this you must first turn 54% into a decimal.
54%---> .54
125*.54= 67.5
So 54% of 125 is 67.5 <span />
Thats easy. figure it out
The following option best describes how the margin of error is calculated: D. It is equal to the inverse of the square root of the sample size.
The small amount that is granted for in case of miscalculation or change of circumstances.
Isosceles triangle: two equal sides.
We have the following relationship:
root (32) = root (L ^ 2 + L ^ 2)
root (32) = root (2L ^ 2)
root (32) = Lraiz (2)
root (32) / root (2) = L
The surface area is:
Area of the base and top:
A1 = (1/2) * (root (32) / root (2)) * (root (32) / root (2))
A1 = (1/2) * (32/2)
A1 = (1/2) * (16)
A1 = 8
Area of the rectangles of equal sides:
A2 = (root (32) / root (2)) * (6)
A2 = 24
Rectangle area of different side:
A3 = (root (32)) * (6)
A3 = 33.9411255
The area is:
A = 2 * A1 + 2 * A2 + A3
A = 2 * (8) + 2 * (24) + (33.9411255)
A = 97.9411255
Round to the nearest tenth:
A = 97.9 cm
Answer:
The surface area of the triangular prism is:
A = 97.9 cm