
Rising Geometry Students-Summer Math Skills Page 1 Simplify the
... The braking distance needed to stop a car is directly proportional to the square of the car’s speed. If it takes 55 yards to stop a car traveling at 50 mph, how many yards will it take to stop a car traveling at 65 mph? ...
... The braking distance needed to stop a car is directly proportional to the square of the car’s speed. If it takes 55 yards to stop a car traveling at 50 mph, how many yards will it take to stop a car traveling at 65 mph? ...
AdvPreCal Spring Final Exam Review 1. Given sin x = 4/7 and cos x
... 28. Rewrite in standard form: 5(cos 120⁰ + isin120⁰) 29. Multiply: [3(cos85⁰ + isin85⁰)][12(cos10⁰+isin10⁰)] 30. Evaluate: (3 +3i)8. 31. Find the number of distinguishable ways the letters OKEECHOBEE can be arranged. 32. Determine the number of seven digit telephone numbers that can be made under th ...
... 28. Rewrite in standard form: 5(cos 120⁰ + isin120⁰) 29. Multiply: [3(cos85⁰ + isin85⁰)][12(cos10⁰+isin10⁰)] 30. Evaluate: (3 +3i)8. 31. Find the number of distinguishable ways the letters OKEECHOBEE can be arranged. 32. Determine the number of seven digit telephone numbers that can be made under th ...
Why Do All Composite Fermat Numbers Become
... So-called double Fermat numbers are an infinite subset of Fermat numbers and generated from the recurrence relations F2n1 = ( F2n 1) Fn 1 +1 with F20 =5 for n≥0, and it has been presented that there are only three double Fermat primes i.e. F20 = 5, F21 =17, F22 =65537 so that all larger double F ...
... So-called double Fermat numbers are an infinite subset of Fermat numbers and generated from the recurrence relations F2n1 = ( F2n 1) Fn 1 +1 with F20 =5 for n≥0, and it has been presented that there are only three double Fermat primes i.e. F20 = 5, F21 =17, F22 =65537 so that all larger double F ...
NWERC 2015 Presentation of solutions
... Given a set of line segments, and points s and t, find a way to bounce a ball from s to t. Line segments disappear once hit. Maximize number of hits. Solution 1 The number of walls is small, so try all sequences of bounces. ...
... Given a set of line segments, and points s and t, find a way to bounce a ball from s to t. Line segments disappear once hit. Maximize number of hits. Solution 1 The number of walls is small, so try all sequences of bounces. ...
solutions to handbook problems
... the right, we get b + 2 = 2k – 4 and then b = 2k – 6. Substituting this into the second equation, we get k + 3 = 3(2k – 6 – 3), which becomes k + 3 = 6k – 27. Adding 27 to both sides, then subtracting k from both sides, we get 30 = 5k, so k is 6. That means b = 2 × 6 – 6 = 12 – 6 = 6. It turns out B ...
... the right, we get b + 2 = 2k – 4 and then b = 2k – 6. Substituting this into the second equation, we get k + 3 = 3(2k – 6 – 3), which becomes k + 3 = 6k – 27. Adding 27 to both sides, then subtracting k from both sides, we get 30 = 5k, so k is 6. That means b = 2 × 6 – 6 = 12 – 6 = 6. It turns out B ...
Weber problem

In geometry, the Weber problem, named after Alfred Weber, is one of the most famous problems in location theory. It requires finding a point in the plane that minimizes the sum of the transportation costs from this point to n destination points, where different destination points are associated with different costs per unit distance.The Weber problem generalizes the geometric median, which assumes transportation costs per unit distance are the same for all destination points, and the problem of computing the Fermat point, the geometric median of three points. For this reason it is sometimes called the Fermat–Weber problem, although the same name has also been used for the unweighted geometric median problem. The Weber problem is in turn generalized by the attraction–repulsion problem, which allows some of the costs to be negative, so that greater distance from some points is better.