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An open rectangular box is to be constructed from material that costs $12/ft2 for the bottom and $10/ft2 for its sides. Find the dimensions of the box of greatest volume that can be constructed for $81.
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a thunderstorm produced 114 lightning strikes in 1 and 1/2 hours. what was the unit rate if lightning strikes?
A function f is given by the following table: Approximate the area between the x-axis and y=f (x) from x=0 to x=4 using Simpson's Rule.
What conclusion should be drawn from these results?
If the company wants to send out only fully loaded trucks (and they should return empty), how many trucks of each type would need to be rented? (Find all possible ways to do this.)
Shane invests $38,000 in bonds that earn simple interest of 3%. The interest is payable at the maturity of the bonds after 5 years. Find the total amount that Shane will receive at the end of 5 years.
Suppose you and three friends go to a local pizza parlor. On the menu is a "Make Your Own Pizza" with four ingredients to choose from; onions, sausage, mushrooms, and pepperoni. Your best friend is allergic to mushrooms. How many different varieti..
A power Station and a factory are on opposite sides of a river 60m wide. A cable must be run from the power station to the factory. it costs $25 per meter to run a cable in the river and $20 per meter on land.
At noon, ship A is 60 km west of ship B. Ship A is sailing south at 15 km/h and ship B is sailing north at 5 km/h. How fast is the distance between the ships changing at 4:00 PM? (Round your answer to one decimal place.)
A plane has an airspeed of 195 miles per hour and a heading of 20°. The ground speed of the plane is 207 miles per hour, and its true course is in the direction of 36°. Find the speed and direction of the air currents, assuming they are constants.
In how many ways can a subcommittee of seven be chosen from a Senate committee of six Democrats and six Republicans if all members are eligible?
Assume that the nonzero complex numbers from group G with respect to multiplication. If a and b are real numbers and i=sqrt -1, the conjugate of the complex number a+bi is defined to be a-bi.
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