Write the converse, inverse, or contrapositive of the statement as requested.~q ? ~pConverse

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


Answer: D

Mathematics

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Find the gradient field of the function.f(x, y, z) = ln + z3

A. ?f = i + j + k
B. ?f = i + j + k
C. ?f = i + j + k
D. ?f = i + j + k

Mathematics

Refer to the equilateral triangle shown below and its six symmetries: ? r1 : reflection with axis l1 ? r2 : reflection with axis l2 ? r3 : reflection with axis l3 ? R1 : 120° clockwise rotation with rotocenter O ? R2 : 240° clockwise rotation with rotocenter O ? I : the identity symmetry Which symmetry results when applying the symmetry R2 followed by r1 ?

A. R1 B. r1 C. R2 D. r2 E. r3

Mathematics

Factor the polynomial completely.-2x2 - 10x - 12

A. prime B. -(2x + 3)(x + 4) C. -(2x + 4)(x + 3) D. -(2x - 4)(x - 3)

Mathematics

Determine the slope and the y-intercept. Use the slope and the y-intercept to graph the equation.y = -3

A. slope: undefined; y-intercept: none

B. slope: 0; y-intercept: (0, 3)

C. slope: undefined; y-intercept: none

D. slope: 0; y-intercept: (0, -3)

Mathematics