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The volume of a square-based rectangular cardboard box needs to be 1000 cm^3. Determine the dimensions that require the minimum amount of material to manufacture all six faces. Assume that there will be no waste material. The machinery available cannot fabricate material smaller than 2 cm in length.
From the top of a 230 ft lighthouse, the angle of depression to a ship in the ocean is 23°. How far is the ship from the base of the lighthouse? Round your answer to the nearest foot.
Please response to the following: Reason each step and explain the mathematical mistake if there is one.
Calculate the power required (in MW) to pump water into a backup reservoir 25 metres above the water level, if the pumps operate at a flow rate of 15,000 litres per second and the pipe friction reduces the efficiency of pumping by 18%. (g=9.81 m.s..
Find the minimum and maximum possible areas for a rectangle measuring 4.15 cm by 7.34 cm. Round to the nearest hundredth.
Root test for convergence of geometric series and evaluate the interval of convergence of a power series.
A grain silo has a cylindrical shape. Its diameter is 14ft , and its height is 29 . What is the volume of grain that can be stored in the silo?
A 6 foot tall man is standing near a tree on level ground. If the man's shadow is 4 feet long, how many feet tall is the tree?
Find the length L and width W of the enclosure that is most economical to construct.
There are 5 pirates and a pot of 100 gold pieces. All the pirates have different ranks. The most senior pirate has to propose a split of the gold, such that at least half of the pirates agree.
A man rows a boat 420 feet upstream against a constant current in 14 minutes. He then rows 350 feet downstream (with the same current) in 7 minutes. Find the speed of the current and the equivalent rate at which he can row in still water. Find spe..
Odds of Hitting a Bankrupt on Wheel of Fortune. Assume that the Wheel of Fortune has 24 slots, each subtending 15 degrees. There are two bankrupt slots.
Transportation problem: Cost minimization, Three quarries produce lime which is then shipped to five warehouses
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