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the angle of elevation from r to the ballon ios 52 degrees,the distance from r to the ballon is 420 metres and the distance from s to the ballon in 370 metres. calculate the hight of the ballon.
Sterling average 10 miles per hour riding his bike to town. Averaging 30 miles per hour by car takes him 2 hours less time. How far does he travel to town?
An electric charge is distributed throughout 3-space with density inversely proportional to the distance from the origin. Show that the total charge inside a sphere of radius R is proportional to R^2.
Explain which of the three measures of central tendency (mean, median, mode) are appropriate to use for each of the two cases below. Do not work out the problem. Only express your answer and explain why you chose the answer.
A total of $18,356.50 of this amount has not been collected for more than 90 days. What % of the total amount made (production) is over 90 days and not collected yet?
Five ounces of shrimp and 3 ounces of scallops contain 45 milligrams of cholesterol less than the suggested maximum daily intake. Determine the cholesterol content in an ounce of each item.
Let u = [2,1,1]^T, v = [1,3,2]^T (i.e. they are column vectors). Caclulate v^Tu and uv^T. Show that u is an eigenvector of the matrix uv^T and calculate its eigenvalue.
Find the Expected value of the investment
Find two numbers whose difference is 64 and whose product is a minimum.
Sketch the graph of the inventory as a function of time t (days). At what times is the graph discontinuous?
powdered drink mix is stored in a cylindrical container that has a radius of 6 centimeters and a height of 14 centimeters. Which is closest to the maximum number of cubic centimeters the container will hold?
Probability. A grab bag contains 10 $1 prizes, 7 $5 prizes, and 5 $20 prizes. Three prizes are chosen at random. Find the following probabilities.
Find the amount of water R that flows from the tank during the first 54 minutes. r(t)=307-4t
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