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A man rows a boat 490 feet upstream against a constant current in 14 minutes. He then rows 315 feet downstream (with the same current) in 7 minutes. Find the speed of the current and the equivalent rate at which he can row in still water.
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A stationery company sells two types of notepads to college bookstores, the first wholesaling for 40¢ and the second for 80¢. The company receives an order for 580 notepads, together with a check for $328. If the order fails to specify the number of each type, how should the company fill the order?
Show how to construct a triangle given the length of one side, the distance from an adjacent vertex to the incenter and the radius of the incircle.
Suppose that X1=-1, x2=2, x3=4, x4=-3 is a solution of a non-homogeneous linear system Ax = b and that the solution set of the homogeneous system Ax=0 is given by the formulas:
Find the x-coordinate of the points of inflection of f(x) = 47 + 13x + 18x^ 2 + 4x^ 3 - x^ 4
State the inverse, the converse, and the contrapostive of the given statements.
What is the probability that the mean annual snowfall during 40 randomly picked years will be between 105 inches and 112 inches?
If it costs Acme Manufacturing C dollars per hour to operate its golf ball division, and an analyst has determined that C is related to the number of golf balls produced per hour, x, by the equation C = 0.009x squared - 1.8x + 100.
Calculate the mean and standard deviation (by hand) for the MINITAB created binomial distribution with the probability of a success being ½. Either show work or explain how your answer was calculated. Mean = np, Standard Deviation =
Prove that any two universal (initial) objects in a category C are equivalent. Prove that any two couniversal (terminal) objects in a category C are equivalent.
A boat travels 72 miles upstream in the same time that it takes to travel 120 miles downstream. The speed of the boat in still water is 32 mph. Find the speed of the current.
For an electric circuit, let V=cos 2pi(t) model the electromotive force in volts at t seconds. Find smallest positive value of t where 0
Find the domain and range of the function: f(x)=6xsquared+4. Find the distance between the two plotted points;(-5,2) (4,-4). Using graph of f(x)=x squared as a guide, graph the function; g(x)=(x-3)squared+4
Find the derivative of the function by using quotient rule.
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