Graph the level curves in the first quadrant of the xy-plane for the given function at heights of   and  -  + x = 3z

A.

B.

C.

D.


Answer: B

Mathematics

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Solve the problem.Mary lives on a corner lot. The neighborhood children have been cutting diagonally across her lawn instead of walking around the yard. If the diagonal distance across the lawn is  and the longer part of the sidewalk is twice the shorter length, how many feet are the children saving by cutting across the lawn? Round to the nearest foot if necessary.

A. 40 ft B. 13 ft C. 17 ft D. 10 ft

Mathematics

A fair apportionment of dividing a leftover piece of cake between two children is to let child #1 cut the cake into two pieces and then to let child #2 pick which piece he or she wants. Consider the following apportionment of dividing the leftover piece of cake among three children. Let the first child cut the cake into two pieces. Then the second child is permitted to cut one of those pieces into two parts. Child #3 can select any of the pieces, followed by child #1 selecting one of the remaining pieces, followed by child #2 who gets the remaining piece. Is this allocation process fair if each child's goal is to maximize the size of his or her own piece of cake? ?

A. Yes B. No

Mathematics

Answer the question.Consider the affinely independent set S = {v1, v2, v3} in ?2. These points form a triangular region. If the barycentric coordinates of a point p are  then where is p with respect to the triangle?

A. Vertex B. Outside C. Edge D. Inside

Mathematics

Evaluate the expression.60 + (-3)0

A. 2 B. 0 C. 3 D. 1

Mathematics