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Two planes take off from the same airport at the same time using different runways. One plane travels on a bearing S 14°W at 460 miles per hour. The other plane travels on a bearing N 75°W at 500 miles per hour. How far are the planes from each other 3 hours after takeoff? Please show your work!
If 80% of a radioactive element remains after 250 million years, then what percent remains radioactive after 600 million years? What is it's half life?
A person walks 18m East and then 32m in a direction of 65 degrees N of E. What is the resultant displacement?
Two balls are drawn (without replacement) from an urn that contains four red balls, five green balls, and seven white balls
a risk averse person with a von-neumann-morgenstern utility index of u 1ny has a 20 chance that a disaster will reduce
a bug is going 2m/ minutes along the diagonal of a terrarium,indicated in the figure in the overview.The terrarium is mounted on a cart going at 6 meters/minutes. What is the speed of the bug relative to the ground.
A rental car agency rents 190 card per day at a rate of 27 dollars per day. For each one dollar increase in the daily rate, 5 fewer cars are rented. At what rate should the cars be rented to produce the maximum income?
A diagnostic test is a procedure which gives a quick, but not always reliable, indication of whether a patient has a certain disease. Test results are said to be "positive" if, after testing, the person is thought to have the disease and "negative..
Given a=41degrees, B=101degrees, and a=30.1, approximate the length of side b in a triangle ABC. Given a=100degrees, B=30degrees, and c=110.3, approximate the length of side b in a triangle ABC.
At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 10 cubic feet per minute. The diameter of the base of the cone is approximately 3x the altitude.
Find the x-value(s) of the relative maxima and relative minima, if any, of the function. (If an answer does not exist, enter DNE.) 3x5 - 80x3 + 12.
What is the relationship between correlation and regression? Can you have one without the other? Why or why not?
Find the mass of the lamina described by the inequalities, given that its density isρ(x,y) =xy. x≥0, 3≤y≤3+sqrt.(9-x2)
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