Solve the problem.The floor plan of a building is shown in the figure below. Starting outside, is it possible to walk through each door exactly once, and end up back outside? Justify your answer.

What will be an ideal response?


No. Two of the rooms have an odd number of doors (so two of the vertices in the graph representing this floor plan have an odd number of edges), and thus there is no Euler circuit for the building.

Mathematics

You might also like to view...

Evaluate the factorial expression.5!

A. 120 B. 20 C. 9 D. 10

Mathematics

Solve the problem.The half-life of silicon-32 is 710 years. If 90 grams is present now, how much will be present in 800 years? (Round your answer to three decimal places.)

A. 0 B. 0.037 C. 83.238 D. 41.215

Mathematics

Graph the linear function. Give the domain and range.g(x) = x - 2

A. Domain: (-?, ?)
Range: (-?, ?)

B. Domain: (-?, ?)
Range: (-?, ?)

Mathematics

Solve and graph the solution set on a number line.|x + 8| ? 0

A. {8}

B. (-?, -8)

C. {-8}

D. ?

Mathematics