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Suppose that you are to make a rectangular box with a square base [B]from two different materials. The material for the top and four sides of the box costs $1/ft^2; the material for the base costs $2/ft^2. Find the dimensions of the box of greatest possible volume if you are allowed to spend $144 for the material to make it.
Subtracting, Adding and multiplying two complex numbers
Solve without graphing. Find the slope and the y-intercept for the graph of each equation in the given system. Use this information (and not the equations graph) to determine if the system has no solution or an infinite number of solutions.
A ship travels 70 kilometers on a bearing of 27 degrees and then turns on a bearing of 117 degrees for 180 kilometers. Find the distance of the end trip from the starting point.
One month ago the ratio of nurses to doctors on a hospital staff was 3:5. Since that time two additional nurses joined the staff, no nurses left & the number of doctors remained the same. Find the ratio of nurses to doctors.
building is 133 feet tall. For a class project, Kari is to make a scale model of the building to place in the front hall display case. The display case is 17 inches tall. Which scale will allow her to make the tallest model that will fit in the di..
You drop a coin down a wishing well of unknown depth h and hear a splash 4 seconds later. You know that the distance the coin covers t seconds after being dropped is 1/2 gt2, where g = 9.8 m/s2 is the acceleration due to gravity, and that the spee..
Fixed costs are estimated to be $8,400 for 2005. How many units should the company sell to break even ?
Cars pass a certain street location according to a Poisson process with rate λ. A woman who want to cross the street at that location waits until she can see that no cars will come by in the next T time units.
Excel Solver-maximize annual passenger-carrying capability, An airline owns an aging fleet of jet airplanes. It is considering a major purchase of up to 17 new model 7a7 and 7b7 jets. The decision must take into account numerous cost and capabilit..
A 12-centimeter rod is held between a flashlight and a wall as shown. Find the length of the shadow on the wall if the rod is 45 cm from the wall and 15 cm from the light.
Describe fractional partsso that a child can understand it. What are the two distinct requirements of fractional parts? Explain how children's concepts of partitioning need to be refined to produce a concept of fractional parts.
If local mortgage rates are 8.5%/year compounded monthly for a conventional 30-yr mortgage, what is the price range of houses they should consider? (Round your answers to the nearest cent.)
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