Write the expression in the standard form a + bi.i10 + i8 + i6 + 1

A. 1
B. -1
C. i
D. 0


Answer: D

Mathematics

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Solve the problem.A pair of six-sided dice are rolled. The observation is the number that comes up on each die. The event described by E: "both dice come up with the same parity" (i.e., both numbers rolled are even or both numbers rolled are odd) is

A. {(1, 1), (1, 3), (1, 5), (3, 1), (3, 3), (3, 5), (5, 1), (5, 3), (5, 5)}.
B. {(1, 3), (1, 5), (2, 4), (2, 6), (3, 1), (3, 5), (4, 2), (4, 6), (5, 1), (5, 3), (6, 2), (6, 4)}.
C. {(1, 1), (1, 3), (1, 5), (2, 2), (2, 4), (2, 6), (3, 1), (3, 3), (3, 5), (4, 2), (4, 4), (4, 6), (5, 1), (5, 3), (5, 5), (6, 2),  (6, 6)}.
D. {(2, 2), (2, 4), (2, 6), (4, 2), (4, 4), (4, 6), (6, 2), (6, 4), (6, 6)}.
E. none of these

Mathematics

Determine whether the second polynomial is a factor of the first polynomial.(6x4 + 11x3 - 2x2 + x + 2); (x + 2)

A. Yes B. No

Mathematics

Simplify the exponential expression.(15b)0

A. 1 B. 0 C. 15 D. b

Mathematics

Find the vertex, focus, and directrix of the parabola with the given equation.(y - 2)2 = 4(x + 4)

A. vertex: (4, -2)   focus: (5, -2)   directrix: x = 3 B. vertex: (-4, 2)   focus: (-5, 2)   directrix: x = -3 C. vertex: (-4, 2)   focus: (-3, 2)   directrix: x = -5 D. vertex: (2, -4)   focus: (3, -4)   directrix: x = 1

Mathematics