Sand is being dumped from a hopper railcar at a rate of 40 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 (both are growing larger as more sand is dumped). How fast is the base diameter increasing when the base is 18 feet long? Round your answer to three decimal places.

Q: A sloth is 7 feet east of a fire hydrant and begins to walk south at a rate of 1.7 feet per hour.…

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Q: Water flows out of a hose at a rate of 6 gallons per minute. A pool is 22 feet by 38 feet by 6 feet.…

A: Given: A pool is 22 feet by 38 feet by 6 feet. Water flows out of hose at a rate of 6 gallons per…

Q: Write the negation of "All acute angles are less than 90° in measure." 11

A: Want: To write the negation of given statement

Q: Assume that a hypothesis test to reject the given claim will be conducted. Identify the type I or…

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A: Consider A be the position of Sammie and B be the position of cat at first. After time t , position…