Determine whether the argument is valid or invalid.~q ? ~p~q

A. Valid
B. Invalid


Answer: A

Mathematics

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Show that the set has cardinal number ?0 by establishing a one-to-one correspondence between the set of counting numbers and the given set. Be sure to show the pairing of the general terms in the sets.{7, 12, 17,22, ...}

A.

{1,2,3,4,...,n,...}
{7,12,17,22,...,5n + 1,...}

B.
{1,2,3,4,...,n,...}
{7,12,17,22,...,4n - 1,...}

C.
{1,2,3,4,...,n,...}
{7,12,17,22,...,4n + 2,...}

D.
{1,2,3,4,...,n,...}
{7,12,17,22,...,5n + 2,...}

Mathematics

Divide.  Round to the nearest hundredth.

A. 21.74 B. 21.743 C. 21.70 D. 2.17

Mathematics

Use the two-stage method to solve.Minimizew = x1 + 2x2subject to:2x1 + x2 = 18 2x1 + 2x2 ? 17 x1 + x2 ? 9 x1 ? 0, x2 ? 0

A. Minimum is 12 for x1 = 8, x2 = 2 B. Minimum is 36 for x1 = 0, x2 = 18 C. Minimum is 9 for x1 = 9, x2 = 0 D. Minimum is 9 for x1 = 0, x2 = 9

Mathematics

Simplify.

A.  
B. - 
C.  
D.  

Mathematics