Area volume and worker efficiency


Assignment:

Q1. Volume of a container. A cubic shipping container had a volume of 3 cubic meters. The height was decreased by a whole number of meters and the width was increased by a whole number of meters so that the volume of the container is now a3+2a2- 3a cubic meters. By how many meters were the height and width changed?

Q2. Worker efficiency. In a study of worker efficiency at Wong Laboratories it was found that the number of components assembled per hour by the average worker t hours after starting working could be modeled by the function. N(t) = -3t3+23t2+8t.

a. Rewrite the formula by factoring the right-hand side completely.
b. Use the factored version of the formula to find N(3)

Q3. Area of a triangle. If the base of a triangle is 8x+16 yards and its height is 1/(x+2) yards, then what is the area of the triangle?

Provide complete and step by step solution for the question and show calculations and use formulas.

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Mathematics: Area volume and worker efficiency
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