7.RP.1, 7.RP.2, 7.RP.3
... H. Sum of all angles equals 180 degrees I. Pi times the circle's radius squared J. Ratio of every circle's circumference to its diameter ...
... H. Sum of all angles equals 180 degrees I. Pi times the circle's radius squared J. Ratio of every circle's circumference to its diameter ...
induction problems - Harvard Math Department
... 6. [Thanks to Sonal Jain for suggesting this one] For a S set of n (distinct) positive numbers, let P Σ(S) = { t∈T t | T ⊆ S}; that is, Σ(S) is the set of positive numbers that can be written as the sum of some (possibly empty) subset T ⊆ S. Given n, how small can the cardinality #(Σ(S)) be? For exa ...
... 6. [Thanks to Sonal Jain for suggesting this one] For a S set of n (distinct) positive numbers, let P Σ(S) = { t∈T t | T ⊆ S}; that is, Σ(S) is the set of positive numbers that can be written as the sum of some (possibly empty) subset T ⊆ S. Given n, how small can the cardinality #(Σ(S)) be? For exa ...
Grade 8
... cubes in total. So there are 96 positive points. However, there will be 2 v 2 v 2 ! 8 unit cubes which have no paint, and these will account for 8 v – 7 ! – 56 points. Then the point total for the cube is 96 – 56 ! 40 . (Notice that it was not necessary that we consider cubes with paint on e ...
... cubes in total. So there are 96 positive points. However, there will be 2 v 2 v 2 ! 8 unit cubes which have no paint, and these will account for 8 v – 7 ! – 56 points. Then the point total for the cube is 96 – 56 ! 40 . (Notice that it was not necessary that we consider cubes with paint on e ...
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.