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There are four basket-ball players A, B, C, D. Initially, the ball iswith A. The ball is always passed from one person to a different person. In how many ways can the ball come back to A after sevenpasses? (For example A → C → B → D → A → B → C → A andA → D → A → D → C → A → B → A are two ways in which the ballcan come back to A after seven passes.)
Determine if the relation R on the set of all real numbers is reflexive, symmetric, antisymmetric, and/or transitive where (x,y) R if and only if x = 1.
A dog walks north from a crossroads at 1 mile per hour. The dog's master begins one mile east of the crossroads and walks AT ALL TIMES directly at the dog with a speed of s>1 miles per hour.
1. The acceleration of a particle is given by the equation: A= [a] x t. If V= [e] m ÷ s at t = 1 and S = 12m at t = 1 sec.Find S at t=2 sec.
A Norman window consists of a rectangle surmounted by a semicircle. The window has rectangular portion of the window has width 4" and height 6". (a) Find the area of the window. (b) How much wood trim is needed to boarder the window?
150 members indicated that they plan to attend the next Summer Olympic Games, and 90 indicated that they plan to attend the next Winter Olympic Games. How many members of the club plan to attend.
What is the difference between domain and range? Describe a real-life situation that could be modeled by a function.
Total and Annual Returns Write Up. Twenty years after purchasing shares in a mutual fund for $6500, you sell them for $11300. compute total and annual returns on the investment.
A test consists of 810 true or false questions. If the student guesses on each question, what is the standard deviation of the number of correct answers?
At what rate is your height on the surface changing at this point if you are walking toward x = 400 y = 200? In what (instantaneous) direction should you move in order to descend at the greatest rate?
A child with an ear infection is given a 200-mg ampicillin tablet once every four hours. About 12% of the drug in the body at the start of a four-hour period is still there at the end of that period. Calculate the quantity of ampicillin in the body r..
A pet shop had 8 identical fish tanks in the shape of rectangular prisms. The width and height of each tank was (x - 7) inches and the length was 8 inches more than its width. The expression below shows the maximum amount of water which all the tanks..
car a is travelling north at 90 kmh and car b is travelling west at 80 kmh both approaching the intersection of their
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