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Initially, the depth of water in a tank is 32m . Water drains from the tank through a hole cut in the bottom. At t minutes the water begins drainning, the depth of water in the tank is x metres. The water level changes at a rate equal to (-2t-4).
a) Find an expression for x in terms of t.
b) Hence, determine how long it takes for to completely drain from the tank.
Assume that the number of highway miles that can be graded , is a function of both the hours of labor and of the number of machines. Find the minimum cost of grading 20 miles given that the hourly rates for labor and machines are $ and $.
How many hens and how many rabbits does the farmer have? I know the answer is 20 rabbits and 30 hens. I need the algebraic formula. Can you help?
Estimate the relative error in the calculated surface area.
landscape architect wishes to enclose a rectangular garden on one side by a brick wall costing $27 per foot and on the other three sides by a metal fence costing $9 per foot. If the area of the garden is 450 ft2, find the dimensions of the garden ..
Find all the zeros of the function and write the polynomial as a product of linear factors. Use a graphing utility to graph the function as an aid in finding the zeros and as a check of your results. (If you have a computer algebra system, use it ..
a charity sells tickets for a fundraising dinner. each adults ticket cost 10 dollars and each childs ticket cost 5 dollars. a total of $1050 was raised by selling 130 tickets. how many adults and child tickets were sold?
the perimeter of a basketball court is 276'. the length is 40' longer than the width. find the dimensions of the court.
Micromedia offers computer training seminars on a variety of topics. In the seminars each student works at a personal computer, practicing the particular activity that the instructor is presenting.
Reals with the "finite complement topology:" U open in X if U - X is finite or is all of X. Why compact? Why not regular? Reals with the "countable complement topology:" U open in X if X - U is countable or is all of X. Why not compact? Why not regul..
Evaluate the maximum revenue using cost and revenue function.
a production manager decided that the pages of a book should have a 1 inc margin at the top and bottom and a 1/2 inch margin on each sides . and each page of the book should have an area of 50 inc^2. determine the dimension of the page that will r..
Probability Concepts and the Standard Normal Distribution, What are some conditions under which business decisions are made using probability concepts? Provide at least two examples of subjective probability.
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