Solve the problem.In a complete graph with 16 vertices (A through P), the total number of Hamilton paths that start at vertex A and end at vertex P is

A. 17!.
B. 15!.
C. 14!.
D. 16!.
E. none of these


Answer: C

Mathematics

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Solve the problem.Find an equation for the level surface of the function f(x, y, z) = ln that passes through the point .

A. ln   = 9
B. ln   = 
C.    = e11
D.    = e9

Mathematics

Simplify using order of operations.5 - (-6) ? (-8)3

A. 3067 B. 5632 C. -5632 D. -3067

Mathematics

Expand the expression using the Binomial Theorem.(3x - 1)5

A. 243x5 - 81x4 + 27x3 - 9x2 + 3x - 1 B. (9x2 - 6x + 1)5 C. 243x5 + 15x4 - 90x3 - 90x2 + 15x - 1 D. 243x5 - 405x4 + 270x3 - 90x2 + 15x - 1

Mathematics

Determine whether the two triangles are congruent. If they are, state by what theorem they are congruent. The triangles are not to scale.


a.  not congruent
b.  congruent by AAA
c.  congruent by ASA
d.  congruent by SAS
e.  congruent by AAS

Mathematics