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A statue of a town's founder stands in the town park. Nicholas is 16 meters from the statue. The angle of elevation for Nicholas to see the top of the statue is 35°, and Nicholas' eyes are 1.4 meters above the ground. How tall is the statue? Round to the nearest tenth of a meter.
airplane a takes off 60 minutes after airplane a and heads in the same direction. if airplane a travels with a constant velocity of 408 mph and airplane b with a constant velocity of 1554 mph, in how many hours will airplane b catch up to airplane..
A metal storage tank with a mximum volume of 1200 m^3 is to be constructed in the shape of a right circular sylinder surmounted by a hemisphere. What radial and height dimensions will require the least amount of material?
Investigate the presence of limit cycles both analytically and numberically and investigate the presence of homoclinic/heteroclinic orbits and global bifurcations numerically.
Finding the probability repeats in finite sequences. What is the probability that out of 3 people, 2 were born in the same month.
The scores on a psychological pro le test given to job applicants at a nuclear facility are known to be normally distributed with a mean of 65 and a standard deviation of 10.
Sue, a recent retiree, requires $6,000 per year in extra income. She has $50,000 to invest and can invest in B-rated bonds paying 15% per year or in a certificate of deposit (CD) paying 7% per year. How much money should be invested in each to rea..
A 140 ft tower is located on the side of a mountain that is inclined 32° to the horizontal. A guy wire is to be attached to the top of the tower and anchored at a point 55 ft downhill from the base of the tower. Find the shortest length of wire ne..
Does the sample data provide evidence to conclude that less than 28% of B&B's customers are women (using a = .01)? Use the hypothesis testing procedure outlined below.
An orange juice producer buys all their oranges from one particular orchard. The amount of juice from the oranges is approximately normally distributed with a mean of 151 ml. and a standard deviation of 43 ml.
How many different triple-scoop cones can be made if the flavors can be duplicated?
a spherical balloon is to be felated so that the radius decreases at a rate of 3ft^3/min. How fast is the diameter of the balloon decreasing when the radius is 1ft?
A laboratory designed a radio telescope with a diameter of 320 ft and maximum depth of 48 feet. The graph depicts a cross section of this telescope. Find the equation of this parabola.
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