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A hawk flying at 4 m/s at an altitude of 80 m accidentally drops its prey. The parabolic trajectory of the falling prey is described by the equation below until it hits the ground, where y is its height above the ground and x is its horizontal distance traveled in meters. Calculate the distance traveled by the prey from the time it is dropped until the time it hits the ground. Express your answer correct to the nearest tenth of a meter.
Kiran drove from Tortula to Cactus, a distance of 288 mi. She increased her speed by 8 mi/h for the 392 mi trip from Cactus to Dry Junction. If the total trip took 13 h, what was her speed from Tortula to Cactus?
Calculate the probability of drawing a King or a diamond
Find an equation in the form y=ms +b (where possible) for each line. Solve each system of equation. Let z be the parameter.
Let f:R->R be uniformly continuous on R (the reals) and let f_n(x)=f(x+1/n) for x in the reals. Show that (f_n) converges uniformly on the reals to f.
Find the principal amount
Probability; Eliminate the paramter to find a cartesian equation of the curve; Sketch the curve and indicate with an arrow the direction in which the curve is traced as the parameter increases
What is the probability that the mean of a random sample of size n = 4 of tire lifetimes will be less than 20,000 miles?
If five angles of a heptagon have measures of 80, 85, 175, 90, and 140, and if the other two angles are congruent,what is the measure of each of the other two angles?
Show a sketch of a region satisfying set of inequalities or system of inequalities
The pipeline will be built in a straight line from the rig to a selected point on the shoreline, then in a straight line to the storage tank. What point on the shoreline should be selected to minimize the total cost of the pipeline?
Suppose that the monthly mortgage payments of all homeowners have a normal distribution. What is the mean monthly mortgage paid by all homeowners?
A manufacturing company has 10 machines in continous operation during a workday. The probability that an individual machine will break down during the day is .10
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