Carmen has 18 connecting cubes. she wants to model a house shaped like a rectangle. if the model has a height of one connecting cube, how many different ways can carmen model the house using all 18 connecting cubes?

Identify a1 and r for the geometric sequence an= -256(-1/4) n-1

Asays "we are both knaves" and b says nothing. exercises 24–31 relate to inhabitants of an island on which there are three kinds of people: knights who always tell the truth, knaves who always lie, and spies (called normals by smullyan [sm78]) who can either lie or tell the truth. you encounter three people, a, b, and c. you know one of these people is a knight, one is a knave, and one is a spy. each of the three people knows the type of person each of other two is. for each of these situations, if possible, determine whether there is a unique solution and determine who the knave, knight, and spy are. when there is no unique solution, list all possible solutions or state that there are no solutions. 24. a says "c is the knave," b says, "a is the knight," and c says "i am the spy."

Assume that y varies inversely with x. if y=1.6 when x=0.5 find x when y=3.2