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A pilot can fly an MD-11 2160 miles with the wind in the same time as she can fly 1920 miles against the wind. If the same speed of the wind is 30 mph, find the speed of the plane in still air.
Ronald is setting up an aquarium in his new office. At one pet store fish cost $2 and an aquarium costs $40. At another pet store, fish cost $3 and an aquarium costs $36. Write and solve an equation to represent the cost of x fish and an aquarium ..
Use polar coordinates to evaluate the volume of the solid below the paraboloid (z= 4-x^2-y^2) and above the xy plane.
How much do you need to invest today to have $500,000 30 years in the future and how much of that total is interest?
If Tom Bombadil's house is 24 miles east of Hobbiton and 32 miles south, what is the straight line distance (omit units)?
Find the speed of the plane in still air and the speed of the wind.
A 112 ft tower is located on the side of a mountain that is inclined 20° to the horizontal. A guy wire is to be attached to the top of the tower and anchored at a point 72 ft downhill from the base of the tower. Find the shortest length of wire ne..
Can you use algebra to find a quadratic equation if you know the coordinates of just one point on its graph?
color guard is making flags that must have a base of 18 inches for flagpoles. what is the maximum length of the triangular flags, if they want to use a maximum of 252in.^2 of cloth?
A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a velocity of 24 ft/s. Its height in feet after t seconds is given by y=24t-26t^{2}.
Find the five month moving average
A square support unit in a television is made with a side measuring 5 centimeters. A new model being designed for the upcoming year will have a larger square with a side measuring 5.2 centimeters. By how much will the area of the square be increas..
A man at point A on the shore of a circular lake of radius 1 mi wants to reach the opposite point C as soon as possible. He can walk 6mi/h and row his boat 3mi/h. At what angle theta to the diameter should he row?
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