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Gravel is being dumped from a conveyor belt at a rate of 50 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always equal to each other. How fast is the height of the pile increasing when the pile is 16 feet high?
The circumference of a sphere was measured to be 82 cm with a possible error of 0.5 cm. Use linear approximation to estimate the maximum error in the calculated surface area. Estimate the relative error in the calculated surface area.
On a 10-question multiple choice test there are 5 possible answers for each question, of which 1 is correct and the other 4 are incorrect. If a student guesses randomly and independently, what is the probability of:
Barbara invested $150 at a certain rate of interest compounded anually for two years. If the accumulated value at the end of two years is $175, find the rate of interest.
If I treat the upper block as a 2x2 matrix, I can find P = [1 0; 1 1] (Note: Using Matlab notation here). This correctly results in INV(P)AP = [3 1; 0 3] which is in the form needed.
If 1100 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box.
Bob, driving a new Ford, travels 330 miles in the same amount of time it takes John, driving an old Chevy and traveling 10 miles per hour faster, to travel 390 miles. How fast is John driving?
A company wishes to manufacture a box with a volume of 48 cubic feet that is open on top and is twice as long as it is wide. Find the width of the box that can be produced using the minimum amount of material.
Assuming the amount of fill is normally distributed, what is the probability that the next randomly checked bottle contains more than 32.02 ounces.
How are the steps for solving equations and inequalities similar? How are the steps for solving equations and inequalities different? Give examples. You must do all parts of this question for credit.
They report that 80% of huge successes received favorable reviews, 70% of moderate successes received favorable reviews, 40% of the breakeven texts received favorable review and 20% of the loser texts received favorable reviews. Revise the initial..
Choose one equation of each type: linear, quadratic, polynomial, rational, exponential, and log. Plot each equation on the same graph. Discuss and compare the appearance of each graph.
explain how the commutative and associative properties of multiplication can help you evaluate the product 5x17x2 mentally.
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