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An airplane is flying at an elevation of 5150 ft, directly above a straight highway. Two motorists are driving cars on the highway on opposite sides of the plane, and the angle of depression to one car is 32° and to the other is 54°. How far apart are the cars? Give your answer correct to the nearest foot.
A container initially contains 200 gallons of pure water. a salt solution of concentration 4 pounds per gallon enters at rate of 2 gal/min, and the well stirred mixture leaves at a rate of 3 gal/min. find the number of pounds of salt in the contai..
I want to be earning an annual salary of $100,000 when I retire in 15 years. I have been offered a job that guarantees an annual salary increase of 4% per year, and the starting salary is negotiable. What is the lowest salary that I should request..
A pilot, attempting to fly from Middletown to Westburg, a distance of 200 miles, notices after flying 180 miles that West burg is still 35 miles away because the heading was off by a few degrees.
There are 45 participants in the triathlon. The first three finishers will receive prizes. How many ways can the three prizes be given?
Standard normal probabilities. According to an article in The New York Times, 19.3% of New York City adults smoked in 2003. Suppose that a survey is conducted this year.
To purchase additional park sites, the Anderson County treasurer invested $30,000 in an account that pays 8% annual interest, compounded quarterly. What is the value of the investment after 5 years? Use the Compound Interest Table. Round to the ne..
Solving problems on permutation and combination
Let X be a subset of R, let E be a subset of X, let x_0 be an adherent point of E, and let f: X-->R, g: X-->R, h: X-->R be functions such that f(x)
Four positive numbers, each less than 80, are rounded to the first decimal place and then multiplied together. Use differentials to estimate the maximum possible error in the computed product that might result from the rounding.
Explain in your own words how to use the zero-factor property when solving a quadratic equation. Post a problem for classmates to solve.
Thirty-eight percent of hospital admissions for diabetic patients are related to problems with the kidneys. In a sample of 10 diabetic hospital admissions, calculate the mean and standard deviation of diabetic patients with kidney problems.
Total number of ways a customer can place the order, A bagel shop offers 14 varieties of bagels, 11 flavors of cream cheese, and 15 flavors of coffee. How many different orders for a bagel
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