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A rancher wants to fence in an area of 2000000 square feet in a rectangular field and then divide it in half with a fence down the middle parallel to one side. What is the shortest length of fence that the rancher can use?
Three-person Problem of Points
A hemisphere of radius 7 sits on a horizontal plane. A cylinder stands with its axis vertical, the center of its base at the center of the sphere, and its top circular rim touching the hemisphere. Find the radius and height of the cylinder of maxi..
Find the amount of the winning bid if there were 7 bidders.
Perform an appropriate hypothesis test, showing the necessary calculations and/or explaining the process used to obtain the results.
Use the point-slope form of the linear equation to find an equation of the line with the given slope and passing through the given point. Then write the equation in standard form.
he log was 210 feet ahead of you when you noticed it, which unfortunately wasn't soon enough.
Let R(t) be the field of rational functions. Answer the following (with proofs): If we identify the rational numbers with a subset of R(t), what function corresponds to a given rational number r?
Create a sign chart for the first derivative indicating the intervals of increase and decrease and the relative extrema.
a chemist needs 130 milliliters of 57% solution but only has 33% and 85% solutions available. How many milliliters of each should be mixed together to get the desired solution?
A survey of 398 children given at a local elementary school showed that 175 like chocolate ice cream, 225 like pistachio ice cream, and 123 do not like chocolate or pistachio ice cream. How many children like at most one kind of ice cream mentione..
You are designing a rectangular poster to contain 80 in^2 of printing with 3 inch margins at the top and bottom and 1.5 inch margins at each side. What are the overall dimensions that will minimize the amount of paper use?
A surveyor finds that a tree on the opposite bank of a river has a bearing of N 22 degrees 30'E from a certain point and a bearing of N 15 degrees W from a point 400 feet downstream. Find the width of the river.
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