What is the modulus and argument after (StartRoot 3 EndRoot) (cosine (StartFraction pi Over 18 EndFraction) + I sine (StartFraction pi Over 18 EndFraction) ) gets raised to the 6thpower?
ill give brainiest :3
Answers
Answer:
On the test I took the correct answer is c
Step-by-step explanation:
I took the test
The modulus= 27 and Argument = π/3
What is Argument?The angle inclining from the real axis in the direction of the complex number shown on the complex plane is known as the argument of a complex number.
Given:
z = √3 (cos (π/18) + i sin (π/18))[tex]^{6[/tex]
Now, z = [tex](\sqrt{3}) ^6[/tex] (cos (π/18) + i sin (π/18))[tex]^{6[/tex]
z = 27 (cos (π/18) + i sin (π/18))[tex]^{6[/tex]
As, A complex equation can be expressed as:
z [tex]= |z |e^{i\theta[/tex]
where z= Modulus and [tex]\theta[/tex] is an argument
and, [tex]e^{i\theta =[/tex] cos (π/18) + i sin (π/18)
Then, z = 27 ([tex]e^{i(\(\pi/18)}^6[/tex])
and [tex]e^{i\theta =[/tex] [tex]e^{i(\(\pi/18)}^6[/tex]
Now comparing
[tex]i\theta =i \pi/18[/tex] x 5
[tex]\theta = \pi/3[/tex]
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Related Questions
Find the third side in simplest radical form:
1&3
Answers
Answer:
[tex]\sqrt{10}[/tex]
Step-by-step explanation:
[tex]1^{2} + 3^{2} =x^{2} \\1+9=x^{2} \\10=x^{2} \\\sqrt{10} =x\\[/tex]
Please help I have limited time!!
The slope of a line is 6 and it goes through the point (4,5), which function is best
represented by this graph?
y = 6x - 29
y = 6x + 19
y = 6x - 19
y =6x + 29
Answers
Answer:
[tex]y=6x-19[/tex] is the function which best
represented by this graph.
The graph is also attached.
Step-by-step explanation:
As the point-slope form is
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope
Given
m = 6 and the point (4, 5)
substituting the values in the point-slope form
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y - 5 = 6 (x - 4)[/tex]
[tex]y - 5 = 6x-24[/tex]
[tex]y=6x+5-24[/tex]
[tex]y=6x-19[/tex]
Therefore, [tex]y=6x-19[/tex] is the function which best
represented by this graph.
The graph is also attached.
What is the value of x in the figure?
A. 10
B. 6
C. 15
D. 12
Answers
Answer:
Step-by-step explanation:
You need to set up a proportion.
(21 - 15) / 21 = 4/(x + 4)
6 / 21 = 4/(x + 4)
2/7 = 4/(x + 4)
2(x + 4) = 7*4
2x + 8 = 28
2x + 8-8= 28 - 8
2x = 20
x = 20/2
x = 10
Colleen compared the ratios 3:8 and One-half. Her work is shown below.
Write the ratios as fractions: Three-eighths and One-half
The common denominator is 8.
Write each fraction using the common denominator: Three-eighths and One-eighth
Compare the numerators: 3 > 1
Write the correct statement: Three-eighths > One-half
Where did Colleen make her first mistake?
A. The common denominator should be 4 rather than 8.
B. The numerators are compared incorrectly.
C. The fraction One-half should have been rewritten as 6 Over 8
D. The fraction One-half should have been rewritten as 4 Over 8
Answers
Answer: d
Step-by-step explanation: just took the test
A line has an y-intercept of (0,2) and a slope of 3. The point of (a, 11) is also on the line. What
is the value of a? *
(1 Point)
a.)a=1
b.)a=3
c.)a=5
d.)a=4
Answers
There are 8 big fish for every___ small fish.
There are 4 big fish for every
___ small fish.
Answers
There are 4 big fish for every 5 small fish.
What is proportion?The ratio of two numbers a and b is given by a divided by b and represented by a/b or a:b. While the proportion is the relation between two ratios of a/b and c/d is represented by a:b::c:d or a/b=c/d.
Given that, there are 8 big fish for every 10 small fish, we need to find how many are there for 4 big fish for every.
We will solve this by using proportion,
Let the number of small fishes be x
Therefore,
8 / 10 = 4 / x
x = 5
Hence, there are 5 small fish for every 4 big fishes.
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The ratio of boys to girls in 6th grade is 2:3, if there were 65 students in the class, how many girls are there? How many boys are there?
Answers
Answer:
26 boys and 39 girls
Step-by-step explanation:
if you were to divide 65 by 5 then you would get 13. all you have to do is add 13 + 13 and you would get the number of boys. for the girls you add 13 + 13 + 13.
plz show work....hellp
Answers
Answer:
f(-12) = -15
Step-by-step explanation:
f (-12)
we put -12 in place of x
-12 - 3 = -15
so, f(-12) = -15
You are given a line that has a slope of 4 and passes through the point (StartFraction 3 Over 8 EndFraction, one-half). Which statements about the equation of the line are true? Check all that apply.
The y-intercept is -1.
The slope-intercept equation is y = 4 x minus 1.
The point-slope equation is y minus StartFraction 3 Over 8 EndFraction = 4 (x minus one-half).
The Point (StartFraction 3 Over 8 EndFraction, one-half) corresponds to (x1, y1) in the point-slope form of the equation.
Answers
Answer:
a,b,d
Step-by-step explanation:
Answer:
a,b,d
Step-by-step explanation:
(4,1) & (6, 7)
Write the equation in point slope form
Answers
mi pan susususususu mi pan...
Evaluate |x + y|, for x = 8 and y = -15.
23
7
-7
-23
Answers
Answer:
the answer is 7... ....
Answer:
Today : Saturday, 07 November 2020
Hour: 14.34 WIB (Indonesia)
_______________________________
|x + y|
= |8 + (-15)|
= |-7|
= 7 {Option B}
this app is so useless!
Answers
Answer:
lol ik people dont even come to answer the questions they just come for the points...
Step-by-step explanation:
Answer:
sometimes it is but it helps people cheat soo....
Step-by-step explanation:
HELPPPPPPP ASAPPP
Tim bought a box of chocolates for $ 650 and sold it to Tom at a profit of $ 75. Find the selling price.
Answers
Answer:
725$ give brainliest ;)
Step-by-step explanation:
6x100 + 1x10 + 7x1 + 9x1 +2x1
Answers
Answer:
628
Step-by-step explanation:
Well, if you x's are multiplication signs, then the answer is 628 because
6x100=600, 1x10=10, 7x1=7, 9x1=9, 2x1=2 and then add them all up:
600+10+7+9+2=628
Answer:
628
Step-by-step explanation:
6x100= 600
1x10= 10
7x1= 7
9x1= 9
2x1= 2
600 + 10 = 610
7 + 9 = 16
16 + 2 = 18
610 + 18 = 628
which of the following is the value of the expression 2x exponent2+1,when x =2
Answers
Answer:
9
Step-by-step explanation:
use pemdas to evaluate..
2x^2 + 1
2(2)^2 + 1
2(4) + 1
8 + 1 = 9
What is the output of this function when the input is 0?
Answers
What is the equation of the line with a y-intercept of -10 and a slope of 3?
A.y = -102 - 3
B.y=-10x +3
C.y= 3x - 10
D.y= 3a + 10
Answers
Answer:
c
Step-by-step explanation:
slope is 3 and y intercept is -10 so y=3-10
what is the 9th term of the linear sequence below 2 5 8 11 14
Answers
the difference from each increment is +3 and since you’re trying to find the 9th term there will be 8 ‘gaps’ so u multiply 8 by 3 to find the total increase before adding it to 2, which is the initial no.
2 + (3x8) = 26
Help please I’ll give you 25 points
Answers
Answer:
=x3y+8
Step-by-step explanation:
Help me out here pleaseeeeeeeee.
Answers
Answer:
[tex]\frac{4}{5}[/tex]
Step-by-step explanation:
A fraction is in simplest form when no other factor but 1 will divide into the numerator/ denominator
[tex]\frac{5}{10}[/tex] ← divide numerator/ denominator by 5
=[tex]\frac{1}{2}[/tex]
[tex]\frac{4}{5}[/tex] ← is in simplest form
[tex]\frac{6}{10}[/tex] ← divide numerator/denominator by 2
= [tex]\frac{3}{5}[/tex]
[tex]\frac{8}{12}[/tex] ← divide numerator/denominator by 4
= [tex]\frac{2}{3}[/tex]
[tex]\frac{4}{5}[/tex] is the only fraction given in simplest form
Which of the below images is a translation of ........
Answers
Answer:
B
Step-by-step explanation:
Cause it's the opposite of the original
Answer:
a
Step-by-step explanation:
Which answer choice shows 12.473 rounded to the nearest half?
A. 13.5
B. 13
C. 12.5
D. 12
Answers
Answer:
C. 12.5
Step-by-step explanation:
If you round it into the nearest half, you'll get 12.5.
Factoring trinomials
Select two for each
Answers
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Factors
1.) x^2-4x-60 = (x-10) (x+6)
2.) x^2+10x+24 = (x+4)(x+6)
PLEASE HELP ME I AM PAYING 100 POINTS!!
Mal works at a photo gallery. He charges $50 for a large photo and $40 for a large frame. Sales tax is 5%. How much total tax will a customer pay on both?
Answer the questions to show how to write and simplify expressions that represent the problem.
1. Find the total tax using the expanded expression. Did you get the same answer as you did by evaluating the original expression?
Write your answer in the space below.
2. Which expression, the original expression or the expanded expression, involves finding the total cost first, then calculating the tax on that total?
Write your answer in the space below.
no scams!
Answers
the original expression
2. The original
:)
Write the equation of the line in y = mx + b form.
I need help
Answers
========================================================
Explanation:
The two points on this line are (-1,5) and (0,1)
Let's use the slope formula
m = (y2-y1)/(x2-x1)
m = (1-5)/(0-(-1))
m = (1-5)/(0+1)
m = -4/1
m = -4
The slope is m = -4
If we started at (-1,5) and moved down 4 and to the right 1, then we arrive at (0,1). The motion "down 4, right 1" is directly tied to the slope -4 since -4 = -4/1 = rise/run
The y intercept is b = 1 since this is the location where the graph crosses the y axis.
With m = -4 and b = 1, we go from y = mx+b to y = -4x+1
Help me with this tooo! It is the question that is not filled in
Answers
you will have 8 tables so
72 chair / 8 tables = 9 chair per table
On the Guardian lines a and B
Answers
Answer:
2 and - 1
Step-by-step explanation:
Calculate the gradients using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, -3) and (x₂, y₂ ) = (3, 7) ← 2 points on line A
[tex]m_{A}[/tex] = [tex]\frac{7+3}{3+2}[/tex] = [tex]\frac{10}{5}[/tex] = 2
with (x₁, y₁ ) = (- 2, 7) and (x₂, y₂ ) = (7, - 2) ← 2 points on line B
[tex]m_{B}[/tex] = [tex]\frac{-2-7}{7+2}[/tex] = [tex]\frac{-9}{9}[/tex] = - 1
An independent study commissioned by the stadium showed that running a cable TV ad 5 times daily for a week generated 1,200 ticket sales. The stadium wants to sell out an upcoming show, which requires the sale of 13,200 tickets. How long should the stadium run the cable ad in order to reach this target?
Answers
Answer
I think 55 times
Step-by-step explanation:
13,200/1,200 = 11
5/1200 = x/13,200
so if 1,200*11=13, 200 then 5*11= 55.
btw , could u give me the brainliest if i am right?
The total time the stadium runs the cable ad in order to reach this target is 11 days and this can be determined by using the unitary method.
Given :
Running a cable TV ad 5 times daily for a week generated 1,200 ticket sales. The stadium wants to sell out an upcoming show, which requires the sale of 13,200 tickets.The following steps can be used in order to determine the total times the stadium run the cable ad in order to reach this target:
Step 1 - The unitary method can be used in order to determine the total times the stadium runs the cable ad in order to reach this target.
Step 2 - According to the given data, running a cable TV ad 5 times daily for a week generated 1,200 ticket sales.
Step 3 - If running TV ad 5 times daily sales 1200 tickets then to sell 13200 tickets the total times the ad is running is:
[tex]=\dfrac{13200}{1200}\times 5[/tex]
= 55 times
Step 4 - Now, if 5 times ad running in one day then 55 times ad running in:
[tex]=\dfrac{55}{5}\times 1[/tex]
= 11 days
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Danny charges $22 for 2 hours of swimming lessons, Martin charges $90 for 5 hours of swimming lessons. Who offers a better deal?
Answers
Answer:
danny
Step-by-step explanation:
Danny charges $11 a hour while martin charges $18 a hour
Answer:
Danny offers a better deal
Step-by-step explanation:
Because you have to find out how much each person is charging for each hour of swimming lessons divide Danny's $22 by 2 to get $11 for one hour. And divide Martin's $90 by 5 to get $18 for one hour. Danny is giving you a better deal than Martin.
is the square root of 42.25
Answers
Answer: It’s 6.5
Step-by-step explanation: Bruh just look it up on google
