The time allowed in a show-jumping event is 65 seconds. Ruth jumps the course in 63.23 seconds, but she knocked a rail down on the second jump. If each refusal or rail down is four faults and each second over the time allowed is one fault, how many faults did Ruth have for her round?

F(x) = (x^2 + 3x − 4) and g (x) = (x+4) find f/g and state the domain.

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."

At a sale this week, a desk is being sold for $213. this is a 29% discount from the original price. what is the original price?