A lake near the Arctic Circle is covered by a sheet of ice during the cold winter months. When spring arrives, the ice starts to melt.

S(t) models the ice sheet's thickness (in meters) as a function of time t (in weeks).

S(t)=−0.25t+4

By how much does the sheet's thickness decrease every 6 weeks?

Which is the graph of the function y=2(4)^x

Factor the monomial completely 42a3b3

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."