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A circle with centre O has radius r cm. A sector of the circle, which has an angle of radians at O, has perimeter 6 cm show that θ=6/r-2 and express the area of the sector in terms of r.
A fireplace arch is to be constructed in the shape of a semi ellipse. The opening is to have a height of 40 inches at the center and a width of 82 inches along the base.
So the question is, in the long run, what fraction of the time will the stock increase in price?
A salesperson's weekly paycheck is 15% more than her coworker's paycheck. The two paychecks total $800. Find the amount of each paycheck. (Round your answer to 2 decimal places.)
Find the velocity of the top of the ladder at time t=2.
A spherical weather balloon is being inflated. Beginning at 11 cm, the radius of the balloon is increasing at the rate of 2 cm per second. Express the surface area of the balloon as a function of time (in seconds).
Fnd two linearly independent power series solutions of the given differential equation. Determine the radius of convergence of each series, and identify the general solution in terms of familiar elementary functions.
A plane travels 170 miles on a bearing of N 18 degrees E and then changes its course to N 49 degrees E and travels 120 mi . find the total distance traveled north and the east.
Write an essay that explores some of the statistical data that has been found in this area of study.
The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. If one such class is randomly selected, find the probability that the class length is less than 50.5 min.
what is the probability of getting a sample proportion this small or smaller? Do you think she actually has 55% of the vote? Why or why not?
to determine the number of deer in a game preserve, conservationist catches 524 deer, tags them and lets them loose. later 500 deer are caught, 250 of them are tagged. How many deer are in the preserve.
A wooden artifact from an ancient tomb contains 20 percent of the carbon-14 that is present in living trees. How long age was the artifact made? (The half-life of carbon-14 is 5730 years.)
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