Consider the complex number z = 27i. What are the characteristics of the cube roots of z?

Use the drop down menus to complete each sentence.

The cube roots are located on a circle with center at the origin and radius of
.

The cube roots have arguments which differ by
Pi over 3.

Consider The Complex Number Z = 27i. What Are The Characteristics Of The Cube Roots Of Z?Use The Drop

Answers

Answer 1

Answer:

3 and 2

Step-by-step explanation:

Consider The Complex Number Z = 27i. What Are The Characteristics Of The Cube Roots Of Z?Use The Drop
Answer 2

The cube roots are located on a circle with a center at the origin and a radius of 3. The cube roots have arguments that differ by 2 Pi over 3.

What is the complex number?

A complex number is one that has both a real and an imaginary component, both of which are preceded by the letter I which stands for the square root of -1.

The given complex number as;

z = 27i

The radius of the cube root is found as;

r=∛x

r=∛27

r=3

The cube roots are located on a circle with a center at the origin and a radius of 3 units.

The argument of a complex number,z=a+ib is;

Θ = tan⁻¹(b/a)

The argument of a complex number z=0+27i

Θ = tan⁻¹(27/0)

Θ = π/2

The cube roots have arguments that differ by 2 Pi over 3.

Hence, the correct answer for the drop-down menu will be 3 and 2.

To learn more about the complex number, refer to the link;

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Related Questions

Using the table below, how many cups of flour would you need to make 90 cookies?​

Answers

Answer:

60 : 4 :: 90 : c   proportion

60c = 4(90)       product means/extremes

60c = 360

c = 6

 Or  90 is 1.5 times 60, therefore you need 1.5 times 4 cups.

Answer:

4 cups

Step-by-step explanation:

cause I said so....

A milk truck delivers 396 dozen gallons of milk to stores in 1 day. Write and solve an equation to find ​n, the number of gallons of milk the milk truck delivers in 1 day. nothing

Answers

Answer:

[tex]n = 4752 \ gallons[/tex]

Step-by-step explanation:

Given

Delivery: 396 dozens gallons in a day

Required

Determine the number of gallons in a day

From the question above, we understand that:

[tex]n = 396\ dozens\ gallon[/tex]

From unit conversion:

[tex]1\ dozen = 12[/tex]

So:

[tex]n = 396\ dozens\ gallon[/tex] becomes

[tex]n = 396 * 12 \ gallon[/tex]

[tex]n = 4752 \ gallons[/tex]

Hence, 4752 gallons of milk is delivered daily

The grades on a language midterm at Oak Academy are roughly symmetric with = 67 and 0 = 2.5. Ishaan scored 70 on the exam. Find the z-score for Ishaan's exam grade. Round to the nearest tenth.

Answers

Answer:  1.2

Step-by-step explanation:

Let X denotes the grades on a  language midterm at Oak Academy.

As per given ,

X follows normal distribution ( because it has symmetric graph)

[tex]\mu=67,\ \ \ \ \sigma= 2.5[/tex]

Formula for z : [tex]z=\dfrac{X-\mu}{\sigma}[/tex]

For X = 70, we have

[tex]z=\dfrac{70-67}{2.5}=\dfrac{3}{2.5}=1.2[/tex]

Hence, the z-score for Ishaan's exam grade = 1.2

z-scores are the corresponding standard normal variate's values for normal variates' values. The z-score for Ishaan's grade is 1.2

How to get the z scores?

If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.

If we have

[tex]X \sim N(\mu, \sigma)[/tex]

(X is following normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] )

then it can be converted to standard normal distribution as

[tex]Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)[/tex]

(Know the fact that in continuous distribution, probability of a single point is 0, so we can write

[tex]P(Z \leq z) = P(Z < z) )[/tex]

Also, know that if we look for Z = z in z tables, the p-value we get is

[tex]P(Z \leq z) = \rm p \: value[/tex]

For the given case, if we suppose the random variable X's values as scores of the grades on given language midterm at Oak Academy, then, as it is symmetric around value 67, with σ = 2.5, thus,

[tex]X = N(\mu = 67, \sigma = 2.5)[/tex]

Its given that Ishaan scored X = 70

The standard normal variate conversion of X is given by:

[tex]Z = \dfrac{X- \mu}{\sigma} = \dfrac{X - 67}{2.5}[/tex]

Thus, z-scores for Ishaan's score is: [tex]Z = \dfrac{70 - 67}{2.5} = \dfrac{3}{2.5} = 1.2[/tex]

Learn more about standard normal distribution here:

https://brainly.com/question/10984889

George hiked from the top of a hill to the valley floor. The elevation at the top of the hill is 127 feet above sea level. The valley floor is 52 feet below sea level. George stopped at a rest stop that is at an elevation exactly halfway between the top of the hill and the valley floor. What is the elevation, in feet, of the rest stop? Show your work

Answers

Answer:

The elevation of the rest stop is 37.5 feet above sea level.

Step-by-step explanation:

Given that the elevation at the top of the hill is 127 feet above sea level and The valley floor is 52 feet below sea level.

So, the total length from the top of the hill to the valley floor

[tex]l= 127+52 = 179[/tex] feet

So, length of halfway [tex]= l/2=179/2=89.5[/tex] feet ...(i)

Assuming that the stop for rest, the halfway between the top of the hill and the valley floor, is at x feet above sea level.

So, the length between the stop position and the valley floor [tex]= 52 +x[/tex] feet.

As the stop position is at half-way, so by using equation (i), we have,

[tex]52 + x = 89.5 \\\\\Rightarrow x =89.5-52 \\\\[/tex]

[tex]\Rightarrow x=37.5[/tex] feet

Hence, the elevation of the rest stop is 37.5 feet above sea level.

A(n) _____ is any side of a polygon that shares a side with only one angle of a pair of angles.

Answers

Answer:

non-included

Step-by-step explanation:

A non included side of a polygon shares a side with only one angle of a pair of angles.

Answer: This type of angles are  adjacent interior angles.

Is a triangle with sides that measure 6 inches, 8 inches, and 9 inches a right triangle?

Answers

Answer:

No

Step-by-step explanation:

A right triangle needs to have a right angle in this case this triangle does not. The next answer up is a triangle with 6,8, and 10 inches. This would give you a right triangle.

It is a
r
i
g
h
t


e
d
Δ
, as it has got one angle of measure
90

.

Explanation:
Even if it had not been mentioned that the
Δ
has one
90


, we
can infer this fact from the given lengths of the sides.
Observe that,
6
2
+
8
2
=
10
2
; hence, by the converse of
Pythagoras' Theorem, the

opp. to side with length
10
'
is a
right-angle.
Enjoy Maths.!

Can someone help me out? :(

Answers

Answer:

the length of AB is 5

Step-by-step explanation:

Answer:

4, -3

Explanation:

From A go to the right 4, and then from B go down 3

Which of these statements are true for joint variations? Check all that apply.

There are at least two constants of proportionality.

The independent variable is related to the product of the independent variables by a constant of proportionality, k.

The equation must have at least two independent variables.

The constant of proportionality is 1.

Answers

Answer:

B and C

Step-by-step explanation:

Just did it on edg

Answer:

Which of these statements are true for joint variations? Check all that apply.

A.There are at least two constants of proportionality.

B.The dependent variable is related to the product of the independent variables by a constant of proportionality, k.

C.The equation must have at least two independent variables.

D.The constant of proportionality is 1.

B. The dependent variable is related to the product of the independent variables by a constant of proportionality, k.

C. The equation must have at least two independent variables.

These are the correct answers

Select the correct answer.
Which ordered pair represents a point where the graph of f(x) = (x - 1)(x2 + x - 20) crosses the x-axls?
(-1,0)
(-5,0)
(-4,0)
(20,0)

Answers

Answer:

(-5, 0)

Step-by-step explanation:

f(x) = (x - 1)(x2 + x - 20) = 0

x - 1 = 0

x = 1

x^2 + x - 20 = (x + 5)(x - 4)

x + 5 = 0; x - 4 = 0

x = -5; x = 4

Answer: (-5, 0)

(-5,0) is the answer

in the circle shown, AB is tangent to circle o at point and OC is a radius


Which relationship is true?

Answers

Answer:

A. [tex] \overline{OC} \perp \overline{AB} [/tex]

Step-by-step explanation:

According to tangent theorem, a tangent is formed when the radius of a circle is perpendicular to the line, meeting at a point around the circle, such that the tangent line would be perpendicular to the radius of the circle with a center.

Given that [tex] \overline{AB} [/tex] is a tangent of the circle O, at a point C, and [tex] \overline{OC} [/tex] is a radius, therefore, it follows that:

[tex] \overline{OC} \perp \overline{AB} [/tex].

This means the radius of the circle is perpendicular to the tangent formed at point C.

PLEASE PLEASE HELP GIVING BRAINALIST AND EXTRA POINTS FOR FIRST PERSON

Answers

Answer:

Step-by-step explanation:

20. r= S/2πh

21. y= 2-3/5x

22. 4.3333333 minutes

23. 80 ounces

24. x= 21

25. c= -1

Combine like terms:
-12x - 1 + 4x + 14

Answers

-8x + 13 is the correct answer because -12+ 4 = 8 and 14-1 = 13

Answer: -8x + 13

Step-by-step explanation:

Please hurry I am being timed please help!!

Solve.

f/10 = 16

A. 160
B. 6
C. 26
D. -160

Sorry if this is easy, I'm bad at math :(

Answers

Answer: I think it's 160

Step-by-step explanation:

please help me im so confused i cant fail

Answers

Step-by-step explanation:

since the volume formula is given in the picture,

volume of the cylinder = π x 3.75^2 x 6.21 = 274.349....in^3 (this is the exact answer)

HOWEVER,

since question says round off to nearest whole number,

Volume = 3 x 4^2 x 6 = 288in^3

therefore, answer = option C.

Hope that helps.

If you like to venture further, do check out my insta (learntionary) where I constantly post math tips! Thanks!

PLEASE HELP!! ILL MARK BRAINLYEST!! 20 POINTS!!!
What is the LCM of 24 a^3b and 36 ab^2 ?

A. 72 a 3b 2
B. 12 ab
C. 36 ab
D. 24 a 3b 2

Answers

B. ?
i’m not sure though

Answer:

correct answer is B

Step-by-step explanation:

Hope this helps

Find the measure of anlge A.
7x + 3
7x + 3
A
PLEASE HELP!!!!!!!

Answers

Answer:

3 + 7x = 7x + 3

Step-by-step explanation:

Simplifying

7x + 3 = 7x + 3

Answer:

Angle A = 45 degrees

Step-by-step explanation:

7x+3 + 7x+3 +90 = 180

14x + 96 = 180

14x = 84

x = 6

Angle A = 7x+3. --> 7(6) + 3 --> 45

Angle A = 45 degrees

WILL MARK BRAINLIEST IF YOU GIVE ME THE CORRECT ANSWER
What is the solution (a, b) to this system of linear equations?

3a+6b=45

2a-2b=-12
(-27, 6)
(-1, 7)
(1, 7)
(27, -6)

Answers

Answer:

I dont know why my answer was removed nor why i was warned for it. But the answer is C

Step-by-step explanation:

Answer: 1, 7 is he answer I just took the quiz and got it correct.

Step-by-step explanation:

HELPPP
Order from least to greatest: 6.24, 6.08, 6.009, 0.6
A) 6.24, 6.08, 6.009, 0.6
B) 0.6, 6.24, 6.009, 6.08
C) 6.009, 6.08, 0.6, 6.24
D) 0.6, 6.009, 6.08, 6.24

Answers

Answer:

D

Step-by-step explanation:

The image point of A after a translation right 1 unit and down 2 units is the point B (9,3). Determine the coordinates of the pre-image point A.

Answers

Alright, it went 1 to the right and down 2 times.

So for point B, you calculate the opposite.

Point B goes 1 left while going up by 2.

(9 - 1, 3 + 2) = (8, 5)

Pre-image point A is (8, 5)

The preimage of point A before a translation right 1 unit and down 2 units

is (8, 5).

What are transformations?

Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.

Dilation: The preimage is scaled up or down to create the image.

Reflection: The picture is a preimage that has been reversed.

Rotation: Around a given point, the preimage is rotated to create the final image.

Translation: The image is translated and moved a fixed amount from the preimage.

Given, The image point of A after a translation right 1 unit and down 2 units is point B (9, 3) so we go exact opposite 1 unit left and 2 units up which is

(- 1, 2).

∴ The pre-image point A is (8, 5).

learn more about translations here :

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Explain the difference between a conductor and an insulator. please I need help

Answers

Answer:

Conductors are materials that provide easy paths for the flow of electrons. Conductors are generally made from materials that have large, heavy atoms. And insulators are the things that have very large resistance to the flow of electric current.

Hope this helps!!

.....................................

Answers

9514 1404 393

Answer:

  7 +11·i

Step-by-step explanation:

  √-121 = (√-1)(√121) = i·11

So, 7 +√-121 = 7 +11·i

NEED ANSWERS ASAP DUE AT 12

Answers

Answer: Natural: G ; Whole: B ; Integer: H; Rational: A, D, F, J, I, E; Irrational: C, K

Step-by-step explanation:

Natural numbers- Counting numbers (1, 2, 3, 4, etc.)

Whole numbers- Counting numbers and 0

Integers- Counting numbers, 0, and their opposites

Rational numbers- any number that can be written as a fraction in which 0 isn't the denominator

Irrational numbers- all other numbers

Express the ratio below in its simplest form.
5:15:20

Answers

1:3:4

You divide each term by a highest common factor which in this case, is 5

Answer:

1:3:4

Step-by-step explanation:

[tex]\frac{5}{5}: \frac{15}{5}: \frac{20}{5}=1:3:4[/tex]

can some on help me of i die

Answers

Answer:

Step-by-step explanation:

17 x 100 = 1,700

17 x 10 x 10 = 1,700

(1 ten 7 ones) x 100 = 1,700

All of them go into the thousands column.

Answer: die.

Step-by-step explanation:

Jacy has a choice of cell phone plans. Plan A is to pay $260 for the phone and then pay $70 per month for the service. Plan B is to get the phone for free and pay $82 per month for service.

Answers

Answer:

What even is the question?

Step-by-step explanation:

There is no question in what u said.

NEED HELP ASAP

Vector Vector P Q has an initial point at (3, 3) and its terminal point is at (5, 7).

Vector Vector R S has an initial point at (4, –6) and its terminal point is at (1, –5).

What is the component form of vector Vector P Q minus R S?


___________ , _____________

Answers

Answer:

5, 3

Step-by-step explanation:

correct on edge2020

Answer:

(5, 3)

Step-by-step explanation:

late but still lol

A linear function contains the following points. X - 4 | 4 0 5 What are the slope and y-intercept of this function?

A. The slope is 4. The y-intercept is (5.

B. The slope is The y-intercept is (0,5).

C. The slope is - 1 Tthe y-intercept is (0,5).

D. The slope is -4. The y-intercept is (0,5).​

Answers

Answer:

The answer is B.

Step-by-step explanation:

when x is 0, y is 5. So that is the yintercept and 4-5=-1 -4-0=-4 do 1/4

D is your answer to the question

is (2,-3) a solution for the inequality y<2x-5?

Answers

Answer: no

Step-by-step explanation:

please answer seriously!!

Answers

Answer:

27. chord

28. radius

29. diameter

30. secant

31. tangent

32. secant

Step-by-step explanation:

I guess thats the correct answer

Anime recommendations?

Answers

Naruto, hxh, my hero academia but ignore the fandom, Tokyo ghoul, banana fish, and a lot more
I have an entire list if you want

my favorites --

-- jormungand

-- the god of high school

-- stars align

-- haikyuu

-- terror in resonance

-- bungou stray dogs

-- attack on titan

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