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A gun has a muzzle speed of 50 meters per second. What angle of elevation should be used to hit an object 170 meters away? Neglect air resistance and use g = 9.8 m / sec^{2} as the acceleration of gravity.
Find the center of mass of a thin plate of constant density d covering the "triangular" region in the first quadrant between the circle x^2+y^2=12.25 and the lines x=3.5 and y=3.5.
He plans to pay the loan back in full in 5 months using his income tax refund. He can go to a finance company that will charge him 18% or to his uncle, who has greed to charge him 9%. Find the difference in the interest charges.
Compute the mean, variance, and standard deviation.
Construct a truth table and determine the truth value of the statement ~ q = { ~r ^ ( p v q) }, when p is false, q is true and r is true.
A ship travels 91 km on a bearing of 40°, and then travels on a bearing of 130° for 138 km. To the nearest kilometer, find the distance from the start to the end of the trip.
Suppose that men arrive at a ticket counter according to a Poisson process at the rate of 120 per hour, and women arrive according to an independent Poisson process at the rate of 60 per hour. Determine the probability that four or fewer people ar..
Express the volume of this region as a single triple integral in rectangular coordinates and Express this integral in terms of one or more integrals in the order dz dx dy.
Sketch the region bounded by the graph of the functions and find the area of the region.
Find how many square inches of mat board will be visible.
How many samples contain at least 1 rotten apple?
Calculate probabilites of gettin from 0 to 5 clubs on a hand. What is the probabilty of gettin 2 or fewer cubs of 5 cards?
John steps on an escalator to leave a subway. Then, 5 seconds later, Jane steps on a parallel escalator to enter the subway. They pass 14 seconds after that. If both escalators are travelling at a speed of 5 feet per second, what is the length of ..
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