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A fence 4 feet tall runs parallel to a tall building at a distance of 5 feet from the building. What is the length of the shortest ladder that will reach from the ground over the fence to the wall of the building?
This select group has been asked to consider the Colorado City Convention and Visitors Bureau survey of 25 hotels in the local area. The survey is concerned with the current availability of rooms.
Clear glass costs $3 per square foot and stained glass costs $10 per square foot. Express the cost of the window as a function of the radius of the stained glass pane.
A small company has 10 employees that receive a monthly paycheck and you calculate the mean and standard deviation for the paychecks in December. For the holiday, the president decides to give everyone a $500 raise. How would the mean and standard..
Show the Finite graph and vertices
The ends of a horizontal water tank are parabolic. The tank is 9 feet tall and 6 feet across at the top. Find the fluid force on a parabolic end of the tank if the tank is 5 feet full. Assume that the water weighs 62.4 pounds per cubic feet.
A cooling has an eccentricity of 5/3. If the cooling tower is 150 feet wide at its narrowest point, determine an equation of the hyperbola used to generate the hyperboloid.
a moving company wishes to design an open-top-box with square base whose volume is exactly 32 cubic feet. find the dimensions of the box requiring the least amount of materials.
You discover a planet orbiting a distant star that has about the same mass as the Sun. Your observations show that the planet orbits the star every 67 rm days . What is its orbital distance?
Oil from a ruptured tanker spreads in a circular pattern. If the radius of the circle increases at the constant rate of 1.5 feet per second, how fast is the enclosed area increasing at the end of 2 hours?
Suppose that 5000 sales invoices are separated into four strata. Stratum 1 contains 50 invoices, stratum2 contains 500 invoices, stratum 3 contains 1000 invoices and stratum 4 contains 3450 invoices. A sample of 500 sales invoices is needed. What ..
a sky diver jumping from a plane at a height of 5,000 feet. He will fall 16 feet in the first second. Thereafter, until the parachute opens, the distance fallen during each second will be 32 feet more than the distance fallen during the previous s..
It costs a $15 flat fee to rent a chain saw, plus $3 a day starting with the first day. Let x represent the number of days rented, so y represents the charge to the user (in dollars).
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