1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
torisob [31]
3 years ago
6

Can you help me find all the seventh roots of unity? what do they look like graphed?

Mathematics
1 answer:
alex41 [277]3 years ago
8 0

Answer:

There are seven seventh roots of unity, e2πki7 , all on the unit circle, r=1 above.

The first one is at θ=2π7=360∘7=5137 ∘ , and there are others at 4π7,6π7,8π7,10π7,12π7 and of course at 0 radians, i.e. unity itself.

How to find?

There are 4 fourth roots of unity and they are 1, i,−1 and−i

Each of the roots of unity can be found by changing the value of k k k in the expression e 2 k π i / n e^{2k\pi i/n} e2kπi/n. By Euler's formula, e 2 π i = cos ⁡ ( 2 π ) + i sin ⁡ ( 2 π ) = 1.

You might be interested in
Construct a​ 99% confidence interval for the population​ mean, mu. Assume the population has a normal distribution. A group of 1
Zarrin [17]

Answer:

99% confidence interval for the population​ mean is [19.891 , 24.909].

Step-by-step explanation:

We are given that a group of 19 randomly selected students has a mean age of 22.4 years with a standard deviation of 3.8 years.

Assuming the population has a normal distribution.

Firstly, the pivotal quantity for 99% confidence interval for the population​ mean is given by;

         P.Q. = \frac{\bar X - \mu}{\frac{s}{\sqrt{n} } } ~ t_n_-_1

where, \bar X = sample mean age of selected students = 22.4 years

             s = sample standard deviation = 3.8 years

             n = sample of students = 19

             \mu = population mean

<em>Here for constructing 99% confidence interval we have used t statistics because we don't know about population standard deviation.</em>

So, 99% confidence interval for the population​ mean, \mu is ;

P(-2.878 < t_1_8 < 2.878) = 0.99  {As the critical value of t at 18 degree of

                                                freedom are -2.878 & 2.878 with P = 0.5%}

P(-2.878 < \frac{\bar X - \mu}{\frac{s}{\sqrt{n} } } < 2.878) = 0.99

P( -2.878 \times {\frac{s}{\sqrt{n} } } < {\bar X - \mu} < 2.878 \times {\frac{s}{\sqrt{n} } } ) = 0.99

P( \bar X -2.878 \times {\frac{s}{\sqrt{n} } < \mu < \bar X +2.878 \times {\frac{s}{\sqrt{n} } ) = 0.99

<u>99% confidence interval for</u> \mu = [ \bar X -2.878 \times {\frac{s}{\sqrt{n} } , \bar X +2.878 \times {\frac{s}{\sqrt{n} } ]

                                                 = [ 22.4 -2.878 \times {\frac{3.8}{\sqrt{19} } , 22.4 +2.878 \times {\frac{3.8}{\sqrt{19} } ]

                                                 = [19.891 , 24.909]

Therefore, 99% confidence interval for the population​ mean is [19.891 , 24.909].

6 0
3 years ago
What is the range and domain?
Artist 52 [7]
Answer- D-apex hope i’m right i’m not sure
5 0
3 years ago
What is the x-coordinate of point P on the coordinate grid?
grin007 [14]

Answer:

-3/2

Step-by-step explanation:

We have to see where the point lies, check the x-axis from the graph.

(-3/2, 1/2)

x = -3/2

5 0
3 years ago
Just help me on 6 and 7 please
TEA [102]
6) 9/4 divided by 5/8
9/4x5/8
9x8/4x5
72/4/5
72/20
18/5
Answer: 18/5

7) 2 1/2 divided by 4 1/2
2x2+1/2 divided by 4 1/2
4+1/2 divided by 4 1/2
5/2 divided by 4 1/2
5/2 divided by 8+1/2
5/2 divided by 9/2
5/2x9/2
5/2x2/9
5x1/9
5/9
Answer: 5/9
4 0
2 years ago
Read 2 more answers
Someone help!!! What is 4/5+7/8
noname [10]
Im pretty sure the answer is 1.675
5 0
3 years ago
Read 2 more answers
Other questions:
  • Judy pays $29 for 8 gallons of gas and 2 bottles of water.carmen pays $45 for 12 gallons of gas and 4 bottles of water. How much
    8·1 answer
  • ❗️10 points❗️<br> 1. factor the polynomial.
    10·1 answer
  • What is the slope of the line that passes through the pair of points? (1, 7), (10, 1)
    8·2 answers
  • What are the solutions to the equation (x – 6)(x + 8) = 0?
    15·1 answer
  • Help, help, help!!! I really need help on this whole page!!!! 8th grade math!!!
    14·1 answer
  • Prove that sin(Π÷14)sin(3Π÷14)sin(5Π÷14)=2​
    13·1 answer
  • \qquad
    5·2 answers
  • Marci enjoyed the restaurant's meatloaf so much, she asked for the recipe. She wants to make 1/6 of the recipe. How much garlic
    13·1 answer
  • Given that 9x – 8y = 16
    13·1 answer
  • This circle graph shows the results of a survey that asked 80
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!