A. Train #1 is currently traveling at an average speed of 50 miles per hour. What is the distance the train is traveling? b. If the train could safety travel at 60 miles per hour instead on the same trip, how much earlier would the train arrive?

c. Based on this information, would increasing the speed to 60 miles per hour solve the problem of the train being 10 minutes late?

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."

Let f(x) = 3 − x . find the average rate of change of f(x) from x = a to x = a + h and simplify your answer so that no single factor of h is left in the denominator.

Show your workcan a right triangle have this sides? *how to prove it without using the pythagorean theorema*