Construct a truth table for the statement. Then determine if the statement is a tautology.(p ? q) ? (~ q ? ~ p)

A.
Is a tautology.

B.
Is not a tautology.

C.
Is not a tautology.

D.
Is a tautology.


Answer: A

Mathematics

You might also like to view...

Solve the problem.A manufacturer uses raw materials to produce p products each day. Suppose that each delivery of a particular material is $d, whereas the storage of that material is x dollars per unit stored per day. (One unit is the amount required to produce one product). How much should be delivered every x days to minimize the average daily cost in the production cycle between deliveries?

What will be an ideal response?

Mathematics

List the factors of the number.84

A. 1, 2, 3, 4, 7, 14, 21, 28, 42, 84 B. 1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 14, 21, 28, 42, 84 C. 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84 D. 1, 2, 3, 4, 6, 7, 12, 14, 21, 42, 84

Mathematics

Solve the problem.The quadratic function  models the median, or average, age, y, at which U.S. men were first married x years after 1900. In which year was this average age at a minimum? (Round to the nearest year.) What was the average age at first marriage for that year? (Round to the nearest tenth.)

A. 1951, 25.4 years old B. 1951, 36 years old C. 1951, 46.9 years old D. 1936, 46.9 years old

Mathematics

Use the power series  to determine a power series centered at 0 for the function . ?

A.
B. ?
C. ?
D. ?
E. ?

Mathematics