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A rectangular garden has dimensions of 15 feet by 10 feet. A gravel path of uniform width is to be built around the garden. How wide can the path be if there is enough gravel for 186 square feet?
Suppose that a tribal culture was discovered in the South Pacific whose language consists of only eight letters
Show that the given relations are contradictions
A polygon has an area of 144 square inches and one of its sides is 10 inches long. If a second similar polygon has an area of 64 square inches, what is the length of the corresponding side in the second polygon?
If the box is to have a volume of 72 cubic inches, find the length and width of the cardboard that must be used.
How large a sample size will need to be selected if we wish to have a 95% confidence interval that is accurate to within 1%.
What situations would make rectangular, cylindrical or spherical integration best? Is integration over other coordinate systems possible or ever ideal?
Find the inverse of the matrix, if it exists. Verify your answer. (If an answer does not exist, enter DNE.)
How many mare gallons of water will it take to fill the tank?
The upper right-hand corner of a piece of paper, 15 in. by 6 in., as in the figure, is folded over to the bottom edge. How would you fold it so as to minimize the length of the fold? In other words, how would you choose x to minimize y?
Letting x denote the length of one side of the base, find a function in the variable x giving the cost (in dollars) of constructing the box.
Waiting Lines and Queing Theory Models. Customers enter the waiting line at a cafeteria on a first come, first served basis in two serving lines.
A box with a square base has length plus girth of 118 in. (Girth is the distance "around" the box.) What are the two possible lengths of the box, if its volume is 2200 in3?
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