The increasing order of the complex numbers is (√2 - i)⁶ < (√2 - √2i)⁸ = (√3 - i)⁶ = (-1 + √3i)¹² < (√3 - √3i)⁴.
<h3>
Absolute values of the complex numbers</h3>
The absolute values of the complex numbers are determined as follows;
(sqrt3-sqrt3i)^4 = (√3 - √3i)⁴
(-1+sqrt3i)^12 = (-1 + √3i)¹²
(sqrt 3-i)^6 = (√3 - i)⁶
(sqrt2-sqrt2i)^8 = (√2 - √2i)⁸
(sqrt2-i)^6 = (√2 - i)⁶
Increasing order of the complex numbers;
(√2 - i)⁶ < (√2 - √2i)⁸ = (√3 - i)⁶ = (-1 + √3i)¹² < (√3 - √3i)⁴.
Learn more about complex numbers here: brainly.com/question/10662770
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Answer:
y=x+5 graph points: (0,5), (-5,0)
y=x-3 graph points: (0,-3), (3,0)
Step-by-step explanation:
These equations are in slope-intercept form.
y=mx+b
m=slope
y= y-intercept
I graphed the lines based on the equations and gave the two points of each equation where the line intersected the x and y axis.
<em>Hope this helped! Brainliest would be great :)</em>
Answer:
the ratio of red 2/10
easy I think it's not hard
there is tow red balls and 8 blue balls
Answer:
The third answer
Step-by-step explanation:
(side note: You probably need to use a calculator that can calculate pi)
The formula to find the area of a circle is pi r squared.
In this case, pi times r squared is 19.63495....... continued
This is probably going to be rounded
so... 19.63
For all of the circles, this is multiplied by 4.
This is 78.52
The area of the square is 100 cm since 10 times 10 is 100
You take 100 cm and then subtract it by 78.54
Voila! now you have 21.46
Answer:
$3,015
Step-by-step explanation:
To determine the amount that you will have in 6 years, you have to use the formula to calculate the future value:
FV=PV*(1+i)^n
FV= future value
PV= present value= $1,900
i= interest rate= 8%
n= number of periods of time= 6 years
FV=1,900*(1+0.08)^6
FV=1,900*(1.08)^6
FV=3,015
According to this, the answer is that in 6 years you will have $3,015 in your retirement account.
