Lara starts from the school, which is 5 miles west and 7 miles north of the house. she travels 20 miles south, and then 15 miles east. what is her final position? what single translation vector moves her from her starting position to her final position?

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 missing in the explicit formula for the compound interest geometric sequence below?

Express -5 2/5 as an improper fraction.