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If a stone is tossed from the top of a 250 meter building, the height of the stone as a function of time is given by h(t) = -9.8t2 - 10t + 250, where t is in seconds, and height is in meters. After how many seconds will the stone hit the ground? Round to the nearest hundredth's place; include units in your answer.
A woman with a resting heart rate of 85 beats per minuteshould keep her heart rate between 139 and 157 beats per minute while excersising. She checks her pulse for 10 seconds while exercising. What should the numbers of beat be?
A 6 foot tall man is standing near a tree on level ground. If the man's shadow is 4 feet long, how many feet tall is the tree?
Permutation and combination
Sam has a total of 58 DVD's and CD's. If the number of CD's is two more than three times the number of DVD's, how many CD's does he have?
In a survey of 250 dancers, 167 knew the ballroom dances, 140 knew the Latin dances, and 106 knew the swing dances. Of these, 65 knew the ballroom and swing dances
Find the equation of the regression line for the given data. What is the predicted value of Y when X = -2? What is the predicted value of Y when X = 4?
Martin just finished working on a job in which he spent 7 hours on Monday doing prep-work and 8.5 hours on Wednesday painting. How much money does John owe him?
water flows from a container at the rate of 2.5 litres per minute. The water flows into a tank that already holds 50 litres. How long in seconds is it before there are 765 litres of water to be in the tank?
A company that manufactures bicycles has a fixed cost of $100,000. It costs $100 to produce each bicycle. The selling price per bike is $300.
What type of distribution would the instructor most want to see if the best result is that most students earn an average score?
If the farmer can make a profit of $140 per acre on crop A, $200 per acre on crop B and $150 per acre on crop C how many acres of each crop should be palnted to mazimize profit?
An Alfa Romeo going at 70 mph requires 160 feet to stop. Assuming that the stopping distance is proportional to the square of velocity, find the stopping distances required by an Alfa Romeo going at 35 mph and at 140 mph (its top speed).
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