What is the value of the interquartile range of the data below? A box-and-whisker plot. The number line goes from 0 to 52. The w
2 answers:
You might be interested in
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:
According to Figure that is shown below, the correct answer for this problem is:
<span>B. They are alternate interior angles, so angle 3 also measures 130°.
</span>The same happens with 7 and 11. This is an obtuse angle, that is, this kind of angles measures more than 90° but less than 180°.
<span>B. They are alternate interior angles, so angle 3 also measures 130°.
</span>The same happens with 7 and 11. This is an obtuse angle, that is, this kind of angles measures more than 90° but less than 180°.