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The length x of a side of a triangle is increasing at a rate of 3 in/s, the length of another side is decreasing at a rate of 2 in/s, and the contained angle is increasing at a rate of 0.05 radian/s. How fast is the area of the triangle changing when x = 40 in, y = 50 in,and θ = π/6?
what would be the force required to push a 100 pound object along a ramp that is inclined 10 degree with the horizonal.
A vat with 600 gallons of beer contains 4% alcohol (by >volume). Beer with 6% alcohol is pumped into the vat at a rate of 6 gal/min and the mixture is pumped out at the same rate. What is the percentage of alcohol after an hour?
In all respects, Company A and Company B are identical except that Company A's costs are mostly variable, whereas Company B's costs are mostly fixed. When sales increases, which company will tend to realize the greatest increase in profits?
last year, the number of hospitals in your state decreased from 320 to 240. What is the precentage of decreased?
The width of a rectangle is 1 foot less than the length. The area is 20 feet squared. Find the length and width.
There are 45 participants in the triathlon. The first three finishers will receive prizes. How many ways can the three prizes be given?
Use a worksheet to simulate the rolling of dice. Use the VLOOKUP function to select the outcome for each die. Place the number for the first die in column B and the number for the second die in column C
What is the probability that the nut fits the bolt? (Note: the sample space consists of all pairs of nuts and bolts, and each pair is equally likely to be chosen.)
Determine the probability when standard deviation and mean is given by using normal distribution - Show the entire calculation
evaluate the number of ways between two town from the word problem.there are five roads from town a to town b three
If a skateboarder leaves a ramp at 25 feet per second and attains a height of 4.7 feet after one sec what is the angle of her ramp?
Find the ninety-five percent confidence interval for the standard deviation of the ounces of coffee that a machine dispenses in 12-oiince cups. Suppose the variable & normally distributed.
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