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if a 13 foot ladder is leaning against a vertical wall and the bottom is moved away from the building at 2 feet per second, how fast is the top of the ladder sliding along the wall at the time the bottom of the ladder is 5 feet from the building?
A swimming pool is 12 meters long ,6 meters wide, 1 meter deep at the shallow end, and 3 meters deepat the deep end. Water is being pumped into thepool at 1/4 cubic meter per minute, and there is 1 meter of waterat the deep end.
Find the sum and enter it in the box below. Enter your answer as a polynomial in descending order, and use the caret (^) for exponents. For example, you would write as 4x^2.
A fence a feet high is b feet from a tall burning building. Find the length of the shortest ladder that will reach from the ground across the top of the fence to the building.
a rectangular piece of cardboard, whose area is 320 square cm, is made into an open box by cutting a 2-cm square from each corner and turning up the sides. if the box is to have a volume of 384 cubic cm, what size cardboard should you start with?
Examine the rise in gasoline prices from 1997 to 2006. The price of regular unleaded gasoline in January 1997 was $1.75, and in January 2006, the price of regular unleaded gasoline was $2.57.
A square's side is increased by 9 yards, which corresponds to an increase in the area by 243 square yards. How many yards is the side of the initial square?
Find the future value of an ordinary annuity that has $270 monthly payments for 9 years if the account receives 3 3/4% interest.
An open box is formed by cutting squares with side lengths of 4 inches from each corner of a square piece of paper. What is a side length of the original paper if the box has a volume of 784 cubic inches?
Fitting of simple linear regression
A house and lot valued at $ 92500 is being depreciated over 25 years by the straight-line method . After 11 years, the book value of the asset is $ 65000 . Since only the value of the house depreciates, find the assumed value of the land.
A swimming pool is circular with a 30-ft diameter. The depth is constant along east-west lines and increases linearly from 5 ft at the south end to 10 ft at the north end. Find the volume of water in the pool. (Round the answer to the nearest whol..
the volume of a rectangular prism is 208cm3.if the area of one end is 16cm2. what is the length of the prism?
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