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A grapefruit is thrown with a velocity of 50 ft/sec upwards, off the top of a 256- foot tall building. How long does it take for the grapefruit to reach, and splatter all over, the sidewalk below? How fast is the grapefruit traveling when it hits the ground? What is the maximum height that the grapefruit reaches?
What is the probability that the first individual to whom measure is given is not truly depressed if not diagnosed as depressed.
If the current levels of input are x = 10 and y = 20, use calculus to estimate the change in input y that should be made to offset an increase of 0.5 in input x so that output will be maintained at its current level.
State the value of the discriminant and then describe the nature of the solution. What is the value of the discriminant?
rtain bacteria population is known to triples every 90 minutes. Suppose that there are initially 170 bacteria.
imeter of the rectangle is 310ft. the width is 35ft less than the length. Find the width and length of the rectangle.
Find formulas for the upper and lower limits ( u and l) as linear equation involving the age x. What is the target heart rate zone for a 20-year-old? What is the target heart rate zone for a 40-year-old?
Find the exact value of the volume of a can of asparagus with a diameter of 8 centimeters and height of 10 centimeters. Include correct units with your solution. Use "pi" in place of the pi symbol.
Two trains leave stations 448 miles apart at the same time and travel toward each other. One train travels at 85 miles per hour while the other travels at 75 miles per hour. How long will it take for the two trains to meet?
show that the number of different triples that can be chosen from N items is precisely N(N-1)(N-2)/6..(use mathematical induction)
A company's CEO wanted to estimate the percentage of defective product per shipment. In a sample containing 400 products, he found 25 defective products.
Use polar coordinates to evaluate the volume of the solid below the paraboloid (z= 4-x^2-y^2) and above the xy plane.
Find the expected value (to you) of the game. If you play one game would you expect to win or lose the game? Explain.
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