How many different nth roots does a nonzero complex number have?

Answers

Answer 1

The Complex nth Roots Theorem with any nonzero complex number has exactly n ∈ N distinct nth roots.  

What is a non-zero complex number?

This is the quantity which does not equal zero is said to be nonzero. A real nonzero number must be either positive or negative, and a complex nonzero number can have either real or imaginary part nonzero.

The roots lie on a circle of radius centered at the origin and spaced out evenly by angles of 2π/n.

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Related Questions

Mark wants to determine the height x of a nearby tree

Answers

The height of the tree that can be determined by Mark will be 27.6 feet.

How to calculate height?

From the complete question, Mark wants to determine the height x of a nearby tree as he stands 47 feet from the base of the tree and the measure of the angle of elevation is 36°.

The height of the tree will be:

= 47 × sin 36°

= 47 × 0.5878

= 27.6

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What is the sum of the series 1+ln2+(ln2)22!+⋯+(ln2)nn!+⋯?

Answers

Answer:

e

ln

(

2

)

=

2

Explanation:

Which human activity would preserve non renewable resources

Answers

Answer:

conserving and limiting

Explanation:

Hope this Helps!

-Justin

One of the largest quakes ever recorded in modern times took place in southern Chile and measured 9.5 on the Richter scale.

What does the Richter scale measure?

Answers

The Richter scale measures the largest wiggle (amplitude) on the recording, but other magnitude scales measure different parts of the earthquake. The USGS currently reports earthquake magnitudes using the Moment Magnitude scale, though many other magnitudes are calculated for research and comparison purposes.

Suppose that the rabbit population on mr. jenkins' farm follows the formula

Answers

Jenkins' farm tracks the procedure p(t)=3000tt+1. where t≥0 is the period (in months) since the start of the year.

As time (t) increases, the rabbit population (p(t)) will also increase, but it will approach a maximum value without ever actually reaching it, resulting in continuous growth that slows down over time.

We have,

Given formula: p(t) = 300t / (t + 1)

As time (t) increases, the denominator (t + 1) also increases.

The rabbit population (p(t)) is calculated by dividing 300t by (t + 1).

Now, let's examine the behaviour as t becomes larger:

When t is very small (close to 0), the population p(t) is also small, since the denominator (t + 1) is close to 1.

As t increases, the denominator (t + 1) grows, causing the value of p(t) to increase.

However, the rate of increase slows down as t gets larger.

This is because the denominator grows faster than the numerator (300t).

Eventually, as t becomes very large, the value of p(t) approaches but never quite reaches a maximum value.

This behaviour is characteristic of a rational function where the numerator's growth is outpaced by the denominator's growth, resulting in an asymptotic approach to a certain value.

Thus,

As time (t) increases, the rabbit population (p(t)) will also increase, but it will approach a maximum value without ever actually reaching it, resulting in continuous growth that slows down over time.

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The complete question:

Population Growth Suppose that the rabbit population on Mr. Jenkins’ farm follows the formula p(t) = 300t / (t + 1)

where t ≥ 0 is the time in months since the beginning of the year.

(a) Draw a graph of the rabbit population.

(b) What eventually happens to the rabbit populations.

In paragraphs 19 and 20 of this story, the man reflects back on his own father cooking for him, and he recalls one incident in particular that he feels bad about. Write a story about this incident, told in first person by the man’s father. Use details from the paragraphs, and add elaboration of your own to show the father’s feelings about what happened and how he reacted to it

Answers

People often write story about different incident. The story is given below.

The incident?

The incident is a story that revolve around our character which I named Olu. He was an man who loved to make food  for his son. His feel is immersed in all his love but Chide his son did not reciprocate his love.

The father was said about his child who did not look at the meal he has prepared for him. He was sick and dying and that was the only thing he could do for him. He knows he loves his son and his son loves him too, but this character of his displeased him but still he accepted and move on.

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Go math grade 8 practice and skills fluency workbook answer key

Answers

Answer:

the answer should be on a quizlet that i found

Explanation:

Go Math Middle School Grade 8, Practice Fluency Workbook

1st Edition

HOUGHTON MIFFLIN HARCOURT

here is the edition you need

hope this helps

rate brainliest

Suppose that 30% of a population carries a certain gene. you want to estimate the probability that it will take at least a sample of four to find a person that carries the gene, how could you simulate a person having or not having the gene?

Answers

Answer:

A

Explanation:

Since only 30% of the population carries the gene, that would mean 70% doesn't carry it. Since you are using 10 digits for this experiment (0-9) this would mean that 0-2 would carry the gene (this equals 30%) and 3-9 would not (70%)

visibility is restricted due to fog. what should the vessel operator do to avoid the risk of a collision?

Answers

Answer:

Unless a risk of collision does not exist, an operator who hears the fog signal of another vessel ahead, is in a close-quarters situation with another vessel ahead, or detects the presence of another vessel by radar must reduce speed to the minimum at which the vessel can be kept on course.

The term “Kiwi” as a nickname for New Zealanders comes from __________.
a. the Maori term for “non-Maori,” or person of European descent
b. the Maori term for “native” or “first”
c. the flightless bird native to the country
d. the Chinese gooseberry, called kiwifruit in New Zealand

Answers

Answer: C “The flightless bird native to the country”

Explanation:

None of the other answers make sense and I also took the quiz and got this question right.

Which of these statements accurately describes the ku klux klan? check any of the boxes that apply. Members tried to hide their identities. The klan supported radical reconstruction. Members attacked african americans and white people. The klan was the only white supremacy group in the south

Answers

The statements which accurately describes the Ku Klux Klan is:

Members tried to hide their identities.Members attacked African Americans and White people.

What is the Ku Klux Klan?

The Ku Klux Klan can be defined as two distinct hate and White supremacist terrorist organization that was founded in 1865 in the United States of America.

The main purpose of the Ku Klux Klan was to suppress and victimize African Americans, especially those that were newly freed as slaves.

In conclusion, the statements which accurately describes the Ku Klux Klan is:

Members tried to hide their identities.Members attacked African Americans and White people.

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Answer:

A and C

Explanation:

Members tried to hide their identities.

Members attacked African Americans and white people.

Select the correct answers from the drop-down menus. Read the excerpt. Then choose the correct way to complete each sentence. Wilson sees as the key to achieving peace. A quotation that supports this conclusion is

Answers

A quotation that supports Wilson's conclusion about achieving peace is;

He laid out a vision for a just and peaceful world, a future that included free seas, an international agreement to avoid arms races,

What is the best way to complete the sentence?

President Wilson gave a 14 points speech that was a proposal calling for the victorious Allies to set unselfish peace terms with the vanquished Central Powers of World War I, including freedom of the seas.

The peace speech also included the restoration of territories conquered during the war and the right to national self-determination in such contentious regions as the Balkans.

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Answer:

fist one is public agreements between... and second one is processes of peace... just took test on plato!!!

Explanation:

An anthropologist has determined that a newly discovered human bone is 8000 years old. how much of the original amount of carbon-14 is in the bone?

Answers

Given that the age of the discovered bone is 8000 years, The original amount of carbon 14 that is in this bone is 38.29%

What is carbon 14?

This is a method of radiocarbon that isused in the age determination of substances. That is after the dacay of nitrogen.

The formula that is used to determine the original amount of carbon 14 in the bone is given as:

[tex]y = ae^-^0^.^0^0^0^1^2^t[/tex]

The value of t is given as 8000.

What is to be done is to solve the equation using the value of t

[tex]y = ae^-^0^.^0^0^0^1^2^(^8^0^0^0^)[/tex]

= ae⁻⁰.⁹⁶

Solve for exp(-0.96)

y = 0.3829a

= 38.29%

Therefore the amount of carbon 14 that is in the bone is 38.29%

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A jar contains five black balls and seven white balls. two balls are drawn sequentially, but the first ball is replaced before the second drawn. the probability of drawing two white balls, given that at least one of the balls is white, is 7/17.

Answers

The probability both balls are black, given that the first one is black, is gotten as;  ⁵/₁₂

What is the probability of Selection?

By using the probability of an event formula,

There are 5 black balls out of a total of 12 balls, so the probability of obtaining a black on a single draw is ⁵/₁₂, and the probability of obtaining a white is ⁷/₁₂



Since the balls are drawn with replacement, the two draws are independent events.

Use Multiplication and Union Rules to obtain the following probability:

P(F) = P(B, B) + P(B, W)

P(F) = (⁵/₁₂ * ⁵/₁₂) + (⁵/₁₂ * ⁷/₁₂)

P(F) =  ⁵/₁₂

Thus, the probability both balls are black, given that the first one is black, is  ⁵/₁₂

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A food worker has prepared a large pot of rice that must be cooled

Answers

Hi! I hope this answer can help you :)

To safely cool rice, it is recommended that after cooking, the pot of rice should be separated into plates and immediately stored in a refrigerator.

How does this complication contribute to the central conflict of the play? when romeo kills tybalt, he increases the friction with juliet’s family. when romeo kills tybalt, he impresses friends with his bravery. when romeo avenges mercutio’s death, the prince is grateful. when romeo avenges mercutio’s death, romeo is injured.

Answers

In the excerpt, the complication contribute to the conflict as at when Romeo kills Tybalt, he increases the friction with Juliet’s family.

What's a central conflict?

A Central conflict that is found in a play or a novel is known to be when the  main character's strong zeal or desire is said to be in form of clashes with an internal or external obstacle.

Note that in the start of most stories, a powerful alteration can bring about the main conflict for your protagonist as in the case of Juliet's family.

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Answer: A) When Romeo kills Tybalt, he increases the friction with Juliet’s family.

Explanation:

Edge 2023

sally really loves being outdoors. she likes to hike, do yoga in the warm sun, and go for long camping trips. she and her wife move to arizona from new york so that they can enjoy these activities in warmer weather for most of the year. this process of moving to an area that is most suited for one’s personality tendencies is called selective ________.

Answers

The answer is

Migration

The cj bacteria in the chickens at monita farms have a high frequency of the allele that causes fq resistance. If genetic drift was the cause, would this allele also be in bacteria at the original farm?

Answers

If the process of genetic drift was the cause of this phenomenon, then the resistance allele was also present in the original farm.

What is genetic drift?

Genetic drift is a genetic phenomenon that occurs when one allele is fixed in a population due to random chance.

Genetic drift is converse to natural selection, where an allele increases this frequency due to evolutionary constraints.

Genetic drift is well known to be the cause of allele fixation by founder population effects.

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Water has a low specific heat and changes temperature easily, which keeps land near large bodies of water cooler in the summer months and warmer in the winter months.

Answers

Water has a low specific heat and changes temperature easily, which keeps land near large bodies of water cooler is False.

What is Specific heat capacity?

This is defined as the quantity of heat required to raise the temperature of one gram of a substance by one Celsius degree.

it takes a lot of energy to increase the temperature of water which means it has a high specific heat capacity in this scenario.

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Answer:

False

Explanation:

Envision algebra 2 answer key pdf additional practice

Answers

Transforming the function f(x) involves changing its position

The function f(x) is translated 4 units up to create the function g(x)

How to translate the function?

From the complete question (see attachment), we have:

f(x) = |x|

g(x) = f(x) + 4 = |x| + 4

The above means that:

The function f(x) is translated 4 units up to create the function g(x)

Also, the transformation ensures that the domain of both functions are the same, however the range of function g(x) is g(x) >= 4

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advantages and disadvantages of status conferred as a result of mass communication ​

Answers

Answer:

Advantages

Education: Media educates the mass. With the help of television or radio shows, the mob discovers various facts about health affairs, environmental preservation, and many more topics of relevance.

Updated: People receive the latest news in a short time. Distance does not make a barrier in distributing information to people from any place on earth. People get daily news updates from media outlets, which keeps them updated on the current trends and happenings worldwide.

Exercise innate potentialities: People get to exercise their hidden talents through media. Media helps to showcase their hidden skills such as comedy, performing, singing, recitation, etc.

Gather knowledge: Media helps to increase knowledge about various subjects.

Mass production: Media acts as a great tool in promoting mass consumer products, increasing sales of the assets.

Diadvantages

Individualism: People spend an excessive amount of time on the internet, watching or binging content. As a result, their relationship with friends or family and neighbors may be affected.

Difficulty to Access: Some media topics are unsuitable for children; limiting access to such content can be challenging for elders in specific scenarios.

Fraudulence and Cybercrime: The Internet opens up avenues for imposters, criminals, and hackers, or such predators with the possibility to commit criminal acts without any knowledge of the victims.

Addiction: Some television programs and internet media can be very addictive to most children and adults, leading to a drop in productivity.

Health Concerns: Prolonged television watching or internet binging can lead to vision problems, and exposure to loud noises by using headphones or earphones can lead to hearing defects.

Faulty advertisement tactics: It often makes the use of drugs and alcohol appear cool, which can be harmful to the nations’ youth.

Personal Injury: Some people decide to try the stunts that have been showcased in the media, which lead to severe injuries.

Advantages

Media enables mass production of assets to suit public demands

Disadvantages

Addiction or repeated use of electronic gadgets or internet can cause health problems.

Based on the equation and the titration results what is the concentration of the h2so4(aq)

Answers

Answer:

The value is going to be 0.96 M. You would need to refer to the chart so that you can solve the question properly. To solve for the value of this, you need to know the value of each mole. The equation is going to be MaVa=MbVb x (12). You would need to change the concepts to (0.16)(36.0) x = 0.48.

If the triangle is equilateral then it is equiangular brainly

Answers

Answer:

Always true

Explanation:

An equiangular triangle has three equal sides, and it is the same as an equilateral triangle.

Hope my answer helped :)

Fast food restaurants keep food warm by placing them under heat lamps. These lamps transfer heat by what means?

Answers

Answer:

Fast food restaurants keep food hot with infrared lamps. The heat is transferred to the food by radiation

Explanation:

the heat lamps produce radiation just like a microwave.

select the correct proper or common name for the compound.

Answers

Answer:

Select the correct proper or common name for the compound. ) ale F F The compound is named: benzyl 2,3,4-trifluorobutanoate phenyl 2,3,4-trifluorobutanoate phenyl 1,2,3-trifluorobutanoate O 1,2,3-trifluoropropylbenzoate Classify the compound by family. The compound is an ester an anhydride an acid chloride a carboxylic acid an amide.

Explanation:

when a company cannot fully satisfy demand because of a constraint, which of the following describes an action that should not be taken?

Answers

The action that should not be taken by the company is tightening the constraints.

How does a company satisfy their demands?

A company is able to satisfy the demands from its customers through the following:

empowering of customers as they like to be valued,satisfying fragmented demands,increasing agility andintroducing innovative services.

Therefore,when a company cannot fully satisfy demand because of a constraint,  the action that should not be taken by the company is tightening the constraints.

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How to simplify numerical expressions with exponents

Answers

Answer:

By multiplying it with each others

Answer:

multiply

Explanation:

The product of 2 positive integers is 78. The greater
integer is 1 more than twice the lesser integer. What is
the greater integer?

Answers

Answer:

it's ez add it and it should give u the question

Explanation:

yea add it and u will get it

The number v of computers infected by a computer virus

Answers

The number of hours that the computers will be infected by a computer virus is one hour.

How can computers be infected by viruses?

Viruses are known to be some forms of computer worms or trojans that can be spread through a system in a lot of ways.

Its spread can be through networks, discs, email attachments etc. It is one that gives others access to your computer.

The number v of computers infected by a computer virus is given by V(t) = 100e^(4.666t)

So therefore,  t is the time in hours.

After 1 hour the number of computer infected v(t=1) = 100*e^(4.666*1)

=100*e^4.666

=100*106.271804

=10627.1804

~10627

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Alice says she can find the area of the room by dividing

Answers

I found the complete problem.

If Alice divides it into two trapezoids, the area formula would be: A = [(a+b) / 2] * h

Trapezoid 1

A = [(7.5 + 15)/2 * 5

A = (22.5/2) * 5

A = 11.25 * 5

A = 56.25 sq. ft

Trapezoid 2

A = [(5 + 10)/2 * 7.5

A = (15/2) * 7.5

A = 7.5 * 7.5

A = 56.25 sq. ft

Total area = 56.25 + 56.25 = 112.50 sq. ft.

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