Mae is checking her bicycle’s wheel. The wheel has a radius of 28 cm, and its center is 42 cm above the ground. Mae is rotating the wheel at a constant speed of 190°/s. The height of a point on the tire as a function of time is given by h = 42 + 28 sin(190t), where h is the height in centimeters, and t is the time in seconds. Find h when t = 2 s. Find your answer to the nearest tenth of a centimeter. a.
52.0 sm
b.
51.6 cm
c.
51.5 cm
d.
50.0 cm

If there is no real number solution to the quadratic equation x^2+2x+c=0 what is a possible value of c? 1 -2 0 3

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."

The swimming pool is open when the high temperature is higher than 20∘c. lainey tried to swim on monday and thursday (which was 3 days later). the pool was open on monday, but it was closed on thursday. the high temperature was 30∘c on monday, but decreased at a constant rate in the next 3 days. write an inequality to determine the rate of temperature decrease in degrees celsius per day, d, from monday to thursday.