A toy company is releasing a new catapult for water balloons that launches them at 9.8 meters per second from a stand 0.6 meters tall. The function f(x) = −4.9x2 + 9.8x + 0.6 describes the path of the water balloon, where x is the amount of time since the launch. While the mathematical range is y ≤ 5.5, how does the reasonable range compare? The reasonable range is limited to y ≥ 0. The reasonable range is limited to y ≥ 0.6. The reasonable range is limited to 0 ≤ y ≤ 5.5. The reasonable range is limited to 0.6 ≤ y ≤ 5.5.

Which statement accurately explains whether a reflection over the x-axis and a 180° rotation would map figure acb onto itself?

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 expression is equivalent to 8(k + m) − 15(2k + 5m)?