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If a ball is thrown directly upward with a velocity of 48 ft/s, its height (in feet) after t seconds is given by y = 48t - 16t2. What is the maximum height attained by the ball? (Round your answer to the nearest whole number.)
The bucket is filled with 36 lb of water and is pulled up at a rate of 4 ft/sec, but water leaks out of the bucket at a rate of 0.6 lb/sec. Find the work done in pulling the bucket to the top of the well (in ft-lb).
Find the sum and enter it in the box below. Enter your answer as a polynomial in descending order, and use the caret (^) for exponents. For example, you would write as 4x^2.
Joseph decided to test the numbers by seeing how much money he would accumulate by a retirement age of 65 if he put one paycheck away at the end of each year.
One of the 4 bus drivers is also randomly selected. Let Y denote the number of students on his bus. Compute the expectations and variances of X and Y.
Suppose that n = pqr is the product of three distinct primes. How would an RSAtype of cryptosystem work in this case? In particular, what relation would e and d satisfy?
Consider 4 couples (4 husbands and their wives) stand in random order in a line. What is the probability that no husband is lined up directly
A box with a square base has length plus girth of 108 in. (Girth is the distance "around" the box.) What are the two possible lengths of the box, if its volume is 2000 in?
two straight roads intersect to form an angle of 75. find the shortest distance from one road to a gas station on the other road 1000 ft from the junction.
SAT verbal scores are normally distributed witha mean of 493 and a standard deviation of 98. Use the Empirical rule to determine what percent of the score
after how many seconds will it hit the ground?
A manufacture has been selling 1500 television sets a week at 450 each. A market survey indicates that for each 29 rebate offered to a buyer, the number of sets sold will increase by 290 per week.
a car traveling at 86 km/h when the driver sees an accident 65 m ahead and slams the brakes.. what minimum constant deceleration is required to stop the car in time to avoid a pileup.
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