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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.)
Let F be a forest. Add a vertex x to F and join x to each vertex of odd degree in F. Prove that the graph obtained in this way is randomly Eulerian from x
Quadratic equations may be solved by graphing, using quadratic formula,completing the square, and factoring. What are the pros and cons of each of these methods? When might each method be most appropriate? Which method do you prefer? Explain why?
The area of a rectangle is 48 square centimeters. If the length of the rectangle is 8 centimeters longer than the width, how wide is the rectangle?
Write a piecewise-defined function that gives the cost C(n) for a museum visitor who is n years old. What is the range of the function
Sketch both the original triangle and its image.
The principle P that an individual invests will have a return of amount A at 5.5% interest. This is modeled by the function A(t) = Pe0.055t where the time t is measured in years. If $2500 is invested, how long will it take to realize a return amount ..
How do you find the x intercepts in standard form
If the water level is rising at a rate of 15000 centimeters per minute when the height of the water is 4500 meters, find the rate at which water is being pumped into the tank in cubic centimeters per minute.
graph the two constraints associated with the amount of labor and material that Ryan has available next week. Using your graph, find the set of points that satisfy both constraints: 2X + 1Y
For this Discussion, select one of the articles in this week's Learning Resources. Examine the article, focusing on which regression technique was used by the article's author when conducting the research presented. Consider the implications of th..
If the probability that team A will win any particular game against team B is 49/100, what is the probability that team A will win the World Series?
I'm having a difficult time finding the annual tax rate of a county. Now, I took the purchase value of the property (415,000), divided it by 1,000 and multiplied that by the total consolidated tax rate (745.20). The end result = $308,013.00
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