I think best word to insert in the blank is the term "bisecting".
An altitude of a triangle is a line or segment that passes through a vertex of the triangle and is bisecting <span>to the line containing the opposite side.
</span>"Bisect<span>" means to divide into two equal parts which is true for the altitude of a triangle.</span>
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:
1.6022x 10-19
Step-by-step explanation:
1.6022x 10-19 then simplifies into 16.022 because of the 10, and then the final answer is -2.978
Answer:
t=nm+r
Step-by-step explanation:
Since you are trying to find time, represented by t, you set the equation equal to t. Then you need to add n multiplied by miles, m, to the fixed rate, r.
Answer:
840 in^2
Step-by-step explanation:
If the base is square and the side length is 10 inches, the areas of the base and of the top combined is 2(100 in^2).
The height of the prism comes from dividing the volume, 1600 in^3, by the area of the base, 100 in^2: It is 16 in. Then the combined areas of the four sides of the prism is 4(160 in^2).
The total surface area of the prsim is then 640 in^2 + 200 in^2, or 840 in^2.