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A rancher plans to set aside a rectangular region of 1 square km for horses. A wooden fence encloses the area, and the side along a highway will cost 3 times as much per sq meter as the other sides to fence. Find the dimensions to minimize cost.
Explain in simple terms how solving linear equations is similar and different than solving linear inequalities. Cite and explain three examples.
a woman 6ft tall walks away from a light 10 ft above the ground. if her shadow lengthens at the rate of 2ft per sec, how fast is she walking?
Kelly Fisher has a total of $33,000 invested in two municipal bonds that have yields of 8% and 10% interest per year, respectively. If the interest Kelly receives from the bonds in a year is $2920, how much does she have invested in each bond?
The dimensions of a rectangle are such that its length is 3 in. more than its width. If the length were doubled and if the width were decreased by 1 in., the area would be increased by 234 in.^2. What are the length and width of the rectangle?
Suppose the position of a particle after t seconds is given by the following vector equation - evaluate each of the following vectors:
An iron cube of side 6cm is melted and recast into a cuboid which has a square base of side 4cm as shown below. What is the height of the cuboid?
Assuming that these percentages remain valid over a long period of time, what is each company's expected market share in the long run?
A researcher hypothesizes that the variation in the amount of money spent on business dinners is greater than the variation of the amount of money spent on lunches. The variance of nine business dinners was $6.12 and the variance of 12 business lu..
How rapidly is the area enclosed by the ripple increasing when the radius is 5 feet?
leading economic indictators: the value of the conference board index of 10 economic undicatators in the U.S could be approximately by the following function of time t in months since the end of december 2002.
A restaurant manager has 2 liters of white wine that is 12% alcohol. How many liters of grape juice should he add to get a drink that is 10% alcohol?
Find the total output of goods needed to satisfy a consumer demand for $100 million worth of agricultural products and $160 million worth of manufactured goods. (Round your answers to one decimal place.)
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