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When a ball is thrown, its height in feet h after t seconds is given by the equation, h=vt-16t^2 where v is the initial upwards velocity in feet per second. If v=37 feet per second, find all values of t for which h=20 feet. Do not round any intermediate steps.
A spherical weather balloon is being inflated. Beginning at 11 cm, the radius of the balloon is increasing at the rate of 2 cm per second. Express the surface area of the balloon as a function of time (in seconds).
Vanilla Box Company is going to make open-topped boxes out of 11 × 11-inch rectangles of cardboard by cutting squares out of the corners and folding up the sides. What is the largest volume box it can make this way? (Round your answer to the neare..
Suppose G is an abelian group of order m. Let m, n be relatively prime. Show that for every element g in G, there exists an element x in G such that x^m=g. Abelian Groups and Relatively Prime Order
A plane can fly 325 mph in still air. If it can fly 190 miles downwind in the same amount of time it can fly 135 miles upwind, find the velocity of the wind.
A boat travels 72 miles upstream in the same time that it takes to travel 120 miles downstream. The speed of the boat in still water is 32 mph. Find the speed of the current.
after linda spent 25% of her saving on her tour, she had $4200 left in her savings account. how much savings had linda at first?
Find and interpret the margin of error for a 95% confidence interval for the population proportion of Americans who believe in heaven.
The distance between the building and the pole is 189 ft, and the pole casts a shadow that is 4.25 ft long. How tall is the building?
A recent survey showed that 67% of dog owners take their pet for daily walks. The margin of sampling error was within 4.5 percentage points. Find the range of dog owners who take their dog for daily walks.
Find the sample size on normal distribution
What is the probability that he obtains a four -digit number less than 3265? A child takes four of the card and places them in some order.
A female student wants to determine whether or not students at the college like the cafeteria's food. This student uses a random number generator to help randomly select students in the cafeteria during lunch hour.
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