The 6-queen problem requires that you place 6 queens on a 6 6 chessboard, so as no queen attacks another one located in the same row, column or diagonal. We define the states to be any configuration of the board where we have one queen per column. The successor function moves a single queen to another square in the same column. For a state S, consider the evaluation function fitness(S), as the number of non-attacking pairs of queens in state S. (a) How many possible states are there in total? (b) How many successor states are there for each state? (c) What is the fitness function for the following state:

Which is an x-intercept of the graphed function? (0, 4) (–1, 0) (4, 0) (0, –1)

(i really need ) read the story problem, and then answer the questions that follow. gordon works for a graphic design firm and is creating a label for a food truck vendor. the vendor specializes in finger food and wants to sell food in right conical containers so that they are easy for people to hold. to complete his label, gordon needs to collect several different measurements to ensure that the label he designs will fit the surface of the container. gordon has been told that the containers have a diameter of 4 inches and a height of 6 inches. part a: find the slant height of the cone. the slant height is the distance from the apex, or tip, to the base along the cone’s lateral surface. show your work. part b: find the measure of the angle formed between the base of the cone and a line segment that represents the slant height. part c: imagine two line segments where each represents a slant height of the cone. the segments are on opposite sides of the cone and meet at the apex. find the measurement of the angle formed between the line segments.

Leila is buying a dinosaur model. the price of the model is xxx dollars, and she also has to pay a 7\%7%7, percent tax.