Use an Euler diagram to determine whether the syllogism is valid or invalid.Students who study get better grades.Roger is a student who studies.  ? Roger will get better grades.

A. Invalid
B. Valid


Answer: B

Mathematics

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Find (x, y, z) for the function h(x, y, z) = cos(y + 3z).

Mathematics

Complete the square and write the equation in standard form. Then give the center and radius of the circle and graph the equation.x2 + y2 - 12x + 2y + 21 = 0

A. (x - 6)2 + (y + 1)2 = 16
center (6, -1), r = 4

B. (x + 6)2 + (y + 1)2 = 16
center (-6, -1), r = 4

C. (x + 6)2 + (y - 1)2 = 16
center (-6, 1), r = 4

D. (x - 6)2 + (y - 1)2 = 16
center (6, 1), r = 4

Mathematics

Plot the ordered pair in the Cartesian plane, and state in which quadrant or on which axis it lies.(5, 0)

A. y-axis

B. x-axis

C. x-axis

D. Quadrant II

Mathematics

Find the product and simplify. ? 

A.
B.
C.
D.

Mathematics