Answer:
slope = -6 and y intercept=0
Step-by-step explanation:
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:
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A6 = -8
a15= -62
There are (15 - 6) terms in between, therefore 9 terms in between.
-8 to -62 ... there is a difference of 54
54 ÷ 9 = 6
Therefore it gets -6 each term.
a6 = -8, a7= -14, a8 = -20 ......
Answer:
27 ft = 324 inches
Step-by-step explanation:
We want to use dimensional analysis to convert a quantity here
27 ft to inches
Mathematically;
12 inches = 1 ft
so;
x inches = 27 ft
So the number of inches will be 27 * 12 = 324 inches
let us assume that the first company the cab flat rate is 5$ and the cap driver charges 2$ per mile .for the second company the cab flat rate is 3$ and the cab driver charges 3$ per mile.
a. the company charges per ride at least 5$ and an extra 2$ per mile
b.the equation we will choose is slope intercept since we know the
y-intercept which is the cab flat rate .
y=mx+b
where
m :is the slope
b:is the y-intercept
y:total amount
x. is the milage
total amount=2x+5.
c.the slope will be 2$ which is the change in amount per mile.the y-intercept will be the cab's flat rate.
