Give an appropriate answer to the question.Decide if the following statement is true or false (if false, give an example to show that it is false): If the number of edges in a graph is 1 less than the number of vertices, then the graph is a tree.

What will be an ideal response?


False. An unconnected graph can satisfy the condition but is not a tree.

Mathematics

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Solve the problem.34,000 people attended a ballgame at a stadium that offers two kinds of seats: general admission and reserved. The day's receipts were $248,000. How many people paid $11.00 for reserved seats, and how many paid $5.00 for general admission?

A. Reserved: 19,500 ; general admission: 14,500 B. Reserved: 14,500 ; general admission: 19,500 C. Reserved: 21,000 ; general admission: 13,000 D. Reserved: 13,000 ; general admission: 21,000

Mathematics

Answer the question.What value of n will make xn a perfect cube?

A. It is not possible for any n. B. n must be a multiple of 5. C. n must be a multiple of 2. D. n must be a multiple of 3.

Mathematics

Sixty liters of a 43% acid solution is obtained by mixing a 28% solution with a 42% solution.Use a graphing utility to graph the two given equations. Let x and y represent the amounts of the 28 % solution and 42% solution. As the amount of the 28% solution increases, how does the amount of the 42% solution change? ? ? ?

A. ?

?

Increases


B. ?

?

Decreases


C. ?

?

Decreases


D. ?

?

Decreases


E. ?


Increases


Mathematics

Determine the area of a triangle having the following measurements. Round your answer to two decimal places.


A) 34.18 sq. units
B) 37.29 sq. units
C) 27.97 sq. units
D) 31.07 sq. units
E) 24.86 sq. units

Mathematics