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A stone is dropped from the top of a 250 m tower. (Acceleration due to gravity is -9.8 m/s2. Ignore air resistance. Give your answers correct to two decimal places.)
(a) Find the distance of the stone above ground level at time t.(b) How long does it take the stone to reach the ground?(c) With what speed does it strike the ground?(d) If the stone is thrown downward with a speed of 8 m/s, how long does it take to reach the ground?
What is a polygon? What is the difference between an equiangular polygon, an equilateral polygon, and a regular polygon? Provide an example of each.
He starts rowing with an angle between North and the direction in which he rows. Find an expression for the time T he will take to get from A to B, in terms of theta.
As of December 31, 2010, Walton Corporation had a current ratio of 1.84, quick ratio of 1.45, and working capital of $18,000. The company uses a perpetual inventory system and sells merchandise for more than it cost.
A baseball team plays in a stadium that holds 59000 spectators. With ticket prices at $10, the average attendance had been 5000. When ticket prices were lowered to $8, the average attendance rose to 15000.
Use 4 point bins 96 to 99, 92 to 95 etc. to make a frequency table for the set of exam scores. Include columns for relative frequency and cumulative frequency.
Rate of change occurs in a side of a triangle with respect to the change occurs in another side - Find the rate it is dropping?
Calculate the unpaid balance on debt after 5 years of monthly payments on $160,000 @3% for 25 years.
Let f : X -> Y, ( X and Y are topological spaces)be homeomorphism, prove that it establishes one-to-one correspondence between Borel sets in X and Y.
Two standarddice are rolled and the resulting numbers are multiplied together. What percent of the time will the product be an odd number?
At an interest rate of 12%, the six-year discount factor is .507. How many dollars is $.507 worth in six years if invested at 12%?
A municipal bond pays 8.3% interest compounded semiannually on its face value of $2,000. The interest is paid at the end of every half-year period. Fifteen years from now the face value of $2,000 will be returned.
Modify the Euclidean algorithm to find the greatest common divisor of 2x^3 + x^2 - 2x - 1 and x^2 + 3x + 2. This requires long division with polynomials.
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