The graph to the right represents a map of the states Colorado, Kansas, Oklahoma, Texas, and Arkansas. Two vertices are joined by an edge of and only if the states share a common border. Find the smallest number of colors that can be used to color the map so that any two states sharing a stretch of common border are not colored with the same color.

If f(x)=2x^6+x^2+2 then what is the remainder when f(x)is divided by x+2

How does a low unemployment rate affect a nation's economy? a. the nation has a higher number of productive resources. b. the nation can spend more money on for unemployed people. c. the nation can save money by paying lower salaries to a large workforce. reset

On traditional maps, earth is represented in a flat plane, or by euclidean geometry. however, a globe is a more accurate model that comes from elliptical geometry. how does a globe represent the fact that there are no parallel lines in elliptical geometry? the equator is not parallel to any other latitudinal lines. the north and south poles are never connected by a geodesic. the geodesics connecting the north and south poles never intersect. the geodesics connecting the north and south poles intersect at both of the poles.