TEMPERATURE INEQUALITIES A scientist is conducting an experiment with liquids. Liquid A cannot cool more than 18°C or it will turn into a solid. The scientist begins to cool the liquid at a constant rate of 3°C per hour. X- Write an linequality to represent, t, the number of hours the scientist can cool Liquid A without changing its state of matter. --- 300 * 15 43 51 18 °C 1 b. Use concrete or pictorial models to find the number of hours the scientist can cool Liquid A without changing its state of matter and represent the solutions of the inequality on a number line.

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."

Which of the following is not a subset of {1,2,3}?

Amachine part consists of a half sphere and a cylinder, as shown in the figure. the total volume of the part is π cubic inches.