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Find the point on the line y = 3x + 3 that is closest to the origin. (Give your answers correct to three decimal places.)
A computer store has 10 copies of a word processing program, 12 copies of a spreadsheet program, and 8 copies of a draw program. Three of the word processing, four of the spreadsheet and two of the draw programs are infected with a computer virus.
The surface area of the top of the water in a circular swimming pool is about 206 square feet. Estimate the radius of the pool, to the nearest foot.
A man rows a boat 550 feet upstream against a constant current in 10 minutes. He then rows 325 feet downstream (with the same current) in 5 minutes. Find the speed of the current and the equivalent rate at which he can row in still water.
A manufacturer has a monthly fixed cost of $70,000.00 and a production cost of $17 for each unit produced. The product sells for $25 per unit. Find the break-even point.
You find that a small business loan in the amount of 50,000 is the amount you need to purchase the restaurant location. After researching banks to find the best interest rate, you find that banks for small businesses offer the best interest rate o..
Let f be a non-negative monotone continuous function defined on the interval (0
Given f( x) = 2/x-1 , use the four step process to find a slope predictor function m(x). Then write an equation for the line tangent to the curve at the point x = 0.
The formula d = , where h equals the height, in feet, of the viewer's eyes, estimates the distance d, in miles, to the horizon from the viewer. Find the distance to the horizon for a person who eyes are 6 ft above the ground.
what is the missing dimension of the square pyramid s=14yd, V=489yd3
How many tennis rackets of each type should CSD manufacture over the next two weeks to maximize the total profit contribution? Assume that because of the unique nature of their products, CSD can sell as many rackets as they can produce.
The graph of a quadratic function (a parabola) has x-intercepts -1 and 3 and a range consisting of numbers less than or equal to 4. Determine an expression for the function.
Prove the identity (n~r) (r~k) = (n~k) ((n-k)~(r-k)), whenever n, r, and k are nonnegative integers with r less than/equal to n and k less than/equal to r:
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