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a plane flies 480 miles in 3.2 hours with a tail wind. It take the same plane 5 1/3 hours to fly 480 miles against the wind. What is the speed of the airplane in still air and what is the wind speed
A bookcase is to be constructed. The length is to be 3 times the height. If 60 feet of lumber is available for the entire unit, find the length and height of the bookcase
Use Cylindrical coordinates to evaluate the triple integral SSS_E sqrt(x^2+y^2)dV, where E is the solid bounded by the circular paraboloid z=16-1(x^2+y^2) and the xy-plane.
The area of a trapezoid is 780 cm. The shorter base is 48 cm and the height is 15 cm. Find the length of the other base.
A students calculate the density of an element to be 7.78 g/cm3. The density listed on the periodic table is 7.13 g/cm3. Calculate the percent error and identify the element.
show that the number of different triples that can be chosen from N items is precisely N(N-1)(N-2)/6..(use mathematical induction)
Find the hydrostatic force (in lb) on one end of the tank if it is filled to a depth of 8 ft with gasoline. Assume the gasoline's weight density is 420lbft3 (In British units, "weight density" is the equivalent of g in SI units.)
Using the following data, obtained from an imaginary harness small manufacturing company, determine the correlation between the number of hours that an employee works and how many belts they produce:
Amy paid $102.00 for a pair of New Balance 1122 running shoes during a 15% off sale. What was the regular price?
a ski-lift that runs to the top of a hill has a rise to run ration of 1/2. the horizontal distance from the bottom of the lift to the center of the mountain is 5000ft. how high is the hill?
Find the vertical asymptote and x-intercept for a given function - State the placement of the vertical asymptote and x-intercept after the transformation.
What is the standard deviation of the number of patients in the sample that will have had a medication error? What is the probability of observing one or more patients who have had medication errors in the same sample?
If the perimeter of a rectangular picture frame must be less than 240 in., and the width is 28 in., what must the height of the frame be?
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