Consider the following weighted graph:


a. Order of adding the edges: {c, d}, {d, f}, {b, c}, {b, e}, {f, g}, {a, e}, {a, g}

or {c, d}, {d, f}, {b, c}, {f, g}, {b, e}, {a, e}, {a, g}

b. Order of adding the edges: {a, e}, {b, e}, {b, c}, {c, d}, {d, f}, {f, g}

c. Dijkstra’s algorithm shows that the shortest path from a to d has length 15. Because

D(d) = c, D(c) = e, and D(e) = a, we can work backward to find that the path is a, e, c, d.

Mathematics

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Construct a truth table for the statement.(p ? q) ? (~p ? q)

A.

TTT
TFF
FTT
FFF

B.
TTF
TFT
FTF
FFF

C.
TTT
TFT
FTT
FFT

D.
TTT
TFF
FTT
FFT

Mathematics

Solve the problem.Computer Specialists is planning a group vacation to one of the following locations: Alaska (A), Florida (F), San Antonio (S), or Hawaii (H). The employees rank the four possible sites according to the following preference table. Determine the winner using the plurality with elimination method and if the winner received a majority of first place votes.

A. Alaska; No B. Alaska; Yes C. Hawaii; No D. Hawaii; Yes

Mathematics

Given the floor plan, determine whether a person could traverse through each unit by passing through each door only once.

A. No B. Yes

Mathematics

Find the point from those given that has the given property.The point where the slope of the tangent is least

A. (-1,-1) B. (0,0) C. (1,3)

Mathematics