Frank is investigating the numerical value of 2x · 2y when x and y are both integers. He makes the following two claims. Claim 1: When x and y are both negative integers, the value of 2x · 2y is always a non–whole number. For example, 2–1 · 2–1 = 0.25 and 2–5 · 2–1 = 0.015625. Claim 2: When only one of x or y is a negative integer, the value of 2x · 2y is always a non–whole number. For example, 22 · 2–3 = 0.5 and 2–5 · 21 = 0.0625. Which statement correctly classifies Frank's claims?

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."

Find the area of a parallelogram with base 15 yards and height 21 2/3

Which of the following would be a reasonable estimate for the weight of a pencil? a. 1 × 10^-20 lb b. 1 × 10^20 lb c. 1 × 10^2 lb d. 1 × 10^-2 lb