Answer:
n≥-5
Step-by-step explanation:
-3n+2≥-4n-3
add 4n on both sides
n+2≥-3
subtract 2 on both sides
n≥-5
The correct value of (3cis(pi/6))³ is 27i.
<h3>What is Complex Number?</h3>
Complex numbers are numbers that consist of two parts — a real number and an imaginary number. Complex numbers are the building blocks of more intricate math, such as algebra.
Given the complex number in polar coordinate expressed as
z = r(cos∅+isin∅)
zⁿ = {r(cos∅+isin∅)}ⁿ
According to DeMoivre’s Theorem;
zⁿ = rⁿ(cosn∅+isinn∅)
Given the complex number;
(3cis(pi/6))³
= {3(cosπ/6 + isinπ/6)}³
Using DeMoivre’s Theorem;
= 3³(cos3π/6 + isin3π/6)
= 3³(cosπ/2 + isinπ/2)
= 3³(0 + i(1))
= 27i
Thus, the correct value of (3cis(pi/6))³ is 27i.
Learn more about Complex number from:
brainly.com/question/10251853
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7/16 is almost half. One more piece of a sixteenth will equal half. So closest half would be 1/2
Step-by-step explanation:
cost of 1 kg of jam = x
cost of 1 kg of butter = y
3x + 2y = 29 .....1
6x + 3y = 54 .....2
.....1 × 2 both sides of equation
6x + 4y = 58 .....3
.....3 - ......2
y = 4
replace y = 4 in 1......
3x + 8 = 29
x = 7
