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My aunt and I were approaching the same intersection, she from the south and I from the west. She was traveling at a steady speed of 6 miles/hour, while I was approaching the intersection at 70 miles/hour. At a certain instant in time, I was one-tenth of a mile from the intersection, while she was three-twentieths of a mile from it. How fast were we approaching each other at that instant?
Binomial Probability Distribution : explained. Thirty percent of women are basketball fans . Four women are randomly selected . Find the probability distribution of the random variable X,
ticle is moving along the curve y=4sqrt{2x+1). As the particle passes through the point (4,12), its x-coordinate increases at a rate of 5 units per second. Find the rate of change of the distance from the particle to the origin at this instant.
A stone is thrown straight up from the edge of a roof, 950 feet above the ground, at a speed of 16 feet per second.
For the products A, B, C and D, which of the following could be a linear programming objective function?
The force exerted by the wind on the sails of a sailboat is Fsail = 340 N north. The water exerts a force of Fkeel = 150 N east. If the boat (including its crew) has a mass of 320 kg, what are the magnitude and direction of its acceleration?
Timmy enjoys playing old-fashioned video games. He found 3 game systems on eBay and wants to purchase a Nintendo game system, an Atari game system, and a Sega arcade game system.
Suppose you have two functions f and g and you use them to form a composite function. Under what conditions will they be the same? Include a numerical example in your answer.
Use a wire of length x to bend into a shape of rectangle, a square, and a circle. Which shape has the largest area? *show which is largest* write functions
Determine the expected payoff of the game
How many solution sets do systems of linear inequalities have? Must solutions to systems of linear inequalities satisfy both inequalities? In what case might they not? Use an example for discussion.
A chip is selected at random, what is the probability that it is from Machine I and is defective? A chip is selected at random, what is the probability that it is defective?
Maximizing Profit: Demand for Steak Dinners, The unit cost of producing a steak dinner at the Smalltown Inn is $6. If a restaurant charges p dollars for a steak dinner, customers will demand 200 - 5p steak dinners per week
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