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An airplane takes off at a 14° angle and travels at the rate of 350 ft/sec. Approximately how long does it take the airplane to reach an altitude of 15,000 feet? (Give the answer to two decimal places.)
The surface area of this pyramid is 189 cm The area of the square base is 49 cm sq . What is the area of one triangular face of the lateral surface? Show the steps of your solution and explain your work.
Use the quadratic formula to find out how long the rocket will take to hit the ground after it is launched. Round to the nearest tenth of a second.
From central parking it is 9/10 of a mile to the science building. Bob started at central parking and walked 1/5 of a mile toward the science building. He stopped for coffee.
Find the maximal interval of existence. Find the dynamical system defined by the solutions
The combined degrees of freedom
The company has 340 hours of labor available each week and can afford to buy $2250 worth of materials. How many recliners and how many sofas can be produced if all labor hours and all materials are used?
Set up and solve using Management Scientist, Excel Solver, or an online LP solver. What are the values of X and Y at the optimal solution?
Mr. Brown has 10 black gloves and 12 brown gloves in his closet. He blindly picks up some gloves from the closet. What is the minimum number of gloves Mr. Brown will have to pick to be certain to find a pair of gloves of the same color?
A plane flies 420 miles with the wind and 310 miles against the wind in the same length of time. If the speed of the wind is 22 mph, what is the speed of the plane in still air?
Find all Hamilton paths going from node A to node F, find the lengths of each of the Hamilton paths from node A to node F.
Define a relation R on the set of all integers Z by xRy iff x+y = 3k for some integer k. Is R an equivalence relation on Z? Why or why not?
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?
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