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Find the dimensions of a rectangle with area 1000 m2 whose perimeter is as small as possible. (Give your answers in increasing order, to the nearest meter.)
Which is the most economical purchase?
Show how to construct a triangle given the length of one side, the distance from an adjacent vertex to the incenter and the radius of the incircle.
Describe (in words) two different sets of people containing you as a member. Describe (in words) the complement of each set. Describe what people are not in either the original set or the complement set.
A hot metal bar is submerged in a large reservoir of water whose temperature is 60 degrees F. The temperature of the bar 20s after submersion is 100 degrees F. After 1 minute, the temp has cooled to 80 degrees F.
An objective function is to be maximized given the following constraints: x+2y=4, x-y=1, x=0, y=0. Find the vertices of the set of feasible solutions.
a telemarketer must call 157 U.S. phone numbers every shift to meet their quota. How many buttons will have to be pushed to mke 157 long distance calls?
What is the standard deviation of this sampling distribution?
Two trains leave stations 588miles apart at the same time and travel toward each other. One train travels at 95miles per hour while the other travels at 115miles per hour. How long will it take for the two trains to meet.
The length of a regulation tennis court is 4 feet greater than twice its width. The perimeter of the court is 248 feet. Find the length and width of the court. (P=2l+2w)
From the top of a 300 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.
Lucky Charms has one of six different watches for prizes inside their box of cereal. If you were to purchase 60 boxes, what are the chances that you will collect all six?
Why is it necessary to study the order of operations and the laws of operations before you begin solving equations?
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