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A manufacturer has determined that the total cost C of operating a factory is
C(x)=1.5x^2+45x+15000
where x is the number of units produced. What is the minimum and maximum average cost?
given four 1's and four 0's,how many ways these 8 symbols be listed such that in each list the number of 0's never exceed number of 1's as a list is read from left to right?List all the possible arrangements?
For the following right triangle, find the side length x. Round the answer to the nearest tenth.
Water is pumped into the tank at a rate of two cubic feet per minute. How fast is the level of water in the tank rising when it is one foot from the top of the tank?
suppose the length of a rectangle increases,but the perimeter remains at 70 feet. How does the width change?
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.
translate the phrase to an algebraic expression Justin had $41 before spending n dollars on jeans. How much money remains?
Find an equation of the line which passes through the point (1,2,3) and is parallel to the line . (x,y,z) = (1,1,1) +s(4,-1,3)
1. The ratio of Clara's age of her mother is 3:11. The difference between their ages is 24 years. The ratio between their ages after 3 years will be - (a) 1:3 (b) 2:3 (c) 3:5 (d) 2:5 (e) 1:5
The doctor's claim was factual
What is the probability that two randomly selected 40-year-old females will live to be 41 years old? What is the probability that five randomly selected 40-year old females will live to be 41 years old?
If an intercept involves a radical, give that answer as well as a calculator approximation rounded to three decimal places. Be sure to check that your results are consistent with the initial graphical estimates: y = x^4 - 25
You discover a planet orbiting a distant star that has about the same mass as the Sun. Your observations show that the planet orbits the star every 67 rm days . What is its orbital distance?
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