For the given direct statement, write the indicated related statement (converse, inverse, or contrapositive).~q ? ~p (contrapositive)

A. ~(q ? p)
B. p ? q
C. ~(p ? q)
D. q ? p


Answer: B

Mathematics

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Solve the problem. Assume the x-axis is horizontal, the positive y-axis is vertical (opposite g), the ground is horizontal, and only the gravitational force acts on the objects. A projectile is launched from the origin at an angle of ? radians to the horizontal and an initial speed of  Find the position function r(t) for this projectile.

A. r(t) = (50t sin ?)i + (50t cos ? - 16t2)j B. r(t) = (50t cos ? - 32t2)i + (50t sin ?)j C. r(t) = (50t cos ?)i + (50t sin ? - 16t2)j D. r(t) = (50t sin ? - 16t2)i + (50t cos ?)j

Mathematics

Determine the solution to the system of inequalities.x ? 4y ? -3

A.

B.

C.

D.

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Evaluate using integration by parts.ln 7x dx

A.  x5 ln 7-  x6 + C
B. ln 7-  x5 + C
C.  x5 ln 7-  x5 + C
D.  x5 ln 7+  x5 + C

Mathematics

Find the slope.Find the slope of a line perpendicular to the line x = -3.

A. - 
B. -3
C. 0
D. undefined

Mathematics