Let the universe consist of all positive integers. Let p(x) be the statement "x is even." Let q(x) be the statement "x is a perfect square." Determine the truth value of the indicated statement.[?x p(x)] ? [?x q(x)]

Fill in the blank(s) with the appropriate word(s).


True

Mathematics

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Use a trigonometric substitution to evaluate the integral.

A. 6sec-1 x + C
B. sin-1  + C
C. sin-1  + C
D.  sec-1 + C

Mathematics

Solve the following quadratic application using the Square Root Property.Neglecting air resistance, the distance d in feet that an object falls in t seconds is given by the equation  Use this formula to find the time it would take for an object to fall to the ground from a cliff that is 1936 feet high.

A. It would take 11 seconds for the object to fall from the cliff to the ground. B. It would take 12 seconds for the object to fall from the cliff to the ground. C. It would take 121 seconds for the object to fall from the cliff to the ground. D. It would take 10 seconds for the object to fall from the cliff to the ground.

Mathematics

Solve the problem.The distance d in miles that can be seen on the surface of the ocean is given by  where h is the height in feet above the surface. How high (to the nearest foot) would a platform have to be to see a distance of 18.5 miles?

A. 342 ft B. 154 ft C. 410 ft D. 238 ft

Mathematics

Find the first term and the common ratio of the geometric sequence.an = -40(0.4)-n

A. a1 = 16, r = 16 B. a1 = -100, r = 0.4 C. a1 = 100, r = 2.5 D. a1 = -16, r = -2.5

Mathematics