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A plane flying into a headwind travels 216 miles in 2 hours and 42 minutes. The plane does the return flight in 2 hours. Find the speed of the plane and of the wind.
A hot water tank is a vertical cylinder surmounted by a hemispherical top of the same diameter . The tank is designed to hold 750m^3 of liquid.
By a line, a great circle on the sphere is referenced. Is it still true that two points determine a unique line? Is it still true that two distinct lines either meet in a single point or do not meet at all?
Find the amount of the winning bid if there were 7 bidders.
Find the resultant (sum) of the complex numbers. Express in rectangular form
Express logarithm into exponential form and solve logarithmic equation and solve the log 4 2 = 1/2 in exponential form.
Describe in words the graph of each of these curves below. Include in your description the shape, along with other possible relevant information such as length, width, and center points.
Billy likes to go cycling. His bike has wheels of a diameter 75. He has invented a counter for his bike, which counts the revolutions the wheel makes. One day the counter shows 370 revolutions. How far has billy cycled?
If a baseball is projected upward from ground level with an initial velocity of 64 feet per second, then its height is a function of time, given by s(t) = -16t squared + 64t.
Show that the functions x and x^2 are orthogonal in P5 with inner product defined by ( =sum from i=1 to n of p(xi)*q*(xi) ) where xi=(i-3)/2 for i=1,...,5.
Find the sum or difference as a product of sines or cosines.
An ice chest contains six cans of apple juice, eight cans of grape juice, four cans of orange juice,and 2 cans of mango juice. What is the probability of selecting a can of apple juice
Find the average value of the function over the given interval and all values of x in the interval for which the function equals its average value. Round your answers to four decimal places.
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