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A balloon is rising vertically above a level straight road at a constant rate of 2 feet/sec. Just when the balloon is 80 feet above the ground a bicycle moving at the constant rate of 20 feet/sec passes under it. How fast is the distance between the bicycle and balloon increasing 4 sec later?
Illustrate the positions of Jill and John at 3:00pm. (I calculated that Jill would be 90 miles away and John would be 75 miles away) Find the measure of the angle between their routes. I calculated this angle to be 65 degrees. Is this correct?
How large rebate should the company offer to a buyer, in order to maximize its revenue? dollars
Are all linear equations functions? Is there an instance when a linear equation is not a function? Support your answer.
Probability - independence of 2 events. Prove that if A and B are independent events in a probability space, then the events A^c and B^c are also independent.
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.
Ken borrowed $6,000 for 4 years at a rate of 7% simple interest per year. How much interest will Ken have to pay after paying back the borrowed amount?
Is there sufficient evidence to indicate premature battery failure at the α = .05 level?
find the general solution of the given differential equation:
Two pens and a pencil have a total length of 49 cm. Four pens and a pencil have a total length of 77cm. What is the total length of seven pens and a pencil?
a paper cup is to be constructed in the shape of a right circular cone. if the volume desired is 36pie in^3, find the dimensions that require the least amount of paper. (disregard any waste that may occur in construction).
You find that a small business loan in the amount of 50,000 is the amount you need to purchase the restaurant location. After researching banks to find the best interest rate, you find that banks for small businesses offer the best interest rate o..
Mike, who is standing on the deck of a yacht that is traveling due west at 6km/h, sees a sailboat sailing southwest at 4km/h, 3 km northwest of the yacht. How close to each other do these boats get?
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