Tell whether the relation is reflexive, symmetric, or transitive on the set of subsets of a nonempty set. Also tell whether the relation is an equivalence relation."Is equivalent to"
A. Reflexive and transitive; not an equivalence relation
B. Reflexive and symmetric; equivalence relation
C. Reflexive, symmetric and transitive; equivalence relation
D. Symmetric and transitive; not an equivalence relation
Answer: C
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For the given question, determine whether an Euler circuit, a Hamilton circuit, or neither would solve the problem.The vertices of a graph represent buildings on a college campus and the edges represent walkways connecting the buildings. A tour guide seeks a route that will travel each walkway exactly once, returning to the starting point when done.
A. Euler B. Neither C. Hamilton
Find the indicated matrix.Let A = [-5 2] and B = [1 0]. Find 3A + 4B.
A. [-2 2] B. [-9 4] C. [-11 6] D. [-15 4]
Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.logb
A. logbx + logby2 + logbz7 B. logbx + 2logby + 7logbz C. logbx + 2logby - 7logbz D. logbx + logby2 - logbz7
Solve quadratic equation by factoring.4x2 - 32x + 60 = 0
A. 0, 3, 5 B. 3, 5 C. -3, -5 D. 4, 3, 5