Express √3 + i in polar form:
|√3 + i| = √((√3)² + 1²) = √4 = 2
arg(√3 + i) = arctan(1/√3) = π/6
Then
√3 + i = 2 (cos(π/6) + i sin(π/6))
By DeMoivre's theorem,
(√3 + i)³ = (2 (cos(π/6) + i sin(π/6)))³
… = 2³ (cos(3 • π/6) + i sin(3 • π/6))
… = 8 (cos(π/2) + i sin(π/2))
… = 8i
Answer:
8%
Step-by-step explanation:
Initial attendance = 2000
New attendance record = 1840
Percentage decrease in attendance :
((Initial - new attendance record) / initial attendance) * 100%
((2000 - 1840) / 2000) * 100%
(160 / 2000) * 100%
0.08 * 100%
8%
8% decrease in attendance
B) No. the x values and the y values do not all increase by the same number
