Convert the following complex number into its polar representation -4i

Answers

Answer 1

The expression which represent the polar form of complex number -4i when converted into the polar form is 4(cos π+ isin π)

What is complex number?

A complex number is the combination of real and imaginary number. In a complex number, real part and imaginary part of number is written together. For example,

a+bi

Here, (a) is the real part while (b) is the imaginary part.

The complex number which need to convert into its polar representation is,

n=-4i

It can be rewritten as,

n=0-4i

The radius r of the polar form is,

r²=0²+(-4)²

r²=0+16

r=4

The value of cos theta is,

tan θ=0/-4

θ=tan⁻¹(0)

θ=π

Thus, the polar form is,

z=rcos θ+(r sin θ)i

z=-4(cos π+ isin π)

Thus, the expression which represent the polar form of complex number -4i when converted into the polar form is 4(cos π+ isin π)

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Related Questions

Describe and explain the difference in muscularity between the crop and the gizzard

Answers

The difference in muscularity between the crop and the gizzard earthworm is that; Crop muscularity is soft while for gizzard it is hard.

What are the differences in Muscularity?

Earthworms usually eats the soil that has organic matter such as leaves and others.

Now, the digestive system of earthworms is made up of pharynx, oesophagus, intestine, gizzard and crop. The mode of digestion is that the food passes through the esophagus after which it is now pushed down the crop where it is used for storage and then in the gizzard where the food is being grind.

Finally. the difference between the crop and the gizzard is that the crop muscularity is soft while that of gizzard is hard.

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How are the characters of the man and woman on the raft developed in the passage

Answers

Answer:

This is probably to late but I belive its "by their actions see through the eyes of an observer"

Explanation:

What brought large amounts of water into the city of rome? a. canals b. forums c. bridges d. aqueducts please select the best answer from the choices provided a b c d

Answers

Hello, hope this helps

Answer:

D. Aqueducts

Explanation:

They constructed these to bring water to many services such as public baths and latrines. Let me know if have any questions about this.

Make suggestions on how cyber-savvy campaigns could overcome public apathy to deal with human rights violations

Answers

Human rights violation is the denial of the fundamental freedom and rights of humans. Cyber savvy can create mass campaigns to deal with the indifference.

What is cyber-savvy?

The person who is interested in and acquainted with computers, systems, and the internet are called cyber-savvy. They can use social platforms and the internet to ruin campaigns to spread awareness and let the common mass show their views.

Creating campaigns that portray the importance of human rights and the standing against discrimination and violence can connect the message of the violation to the large mass of people through the internet.

Therefore, by running campaigns on social platforms cyber-savvy can deal with the coldness.

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Which two events would most likely occur in the rising action of a story?

Answers

Answer: Internal or external conflict

Sarabeth and miguel work at similar jobs for the same agency but on different classified projects. they find it helpful to discuss the challenges of their jobs with each other. sarabeth wanted to share classified information with miguel, but he does not have a need-to-know for the information. in order to avoid a violation requiring a possible sanction, miguel should stop the conversation before any classified information is discussed.

Answers

The statement about Miguel stopping the conversation to avoid any possible sanction is; True

What are work Ethics?

The code of work ethics is defined as the guiding principles that are required to help professionals so that they can conduct their business or jobs with integrity.

Now, organizations adopt code of ethics so that their members can be able to know the difference between what is considered right and what is wrong.

In this case, the work ethics is clear that some information should not be shared. Thus, Miguel is right to stop the conversation to avoid sanctions.

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Sperm cells are able to swim in a fluid because they have

Answers

Answer: the flagellum

Explanation:

the tail of the sperm helps it move

Select the correct answer. smith is pursuing a dental assistant certification program. which professional organization is he a part of? a. american association of family and consumer services b. national association for health professionals c. national board for professional teaching standards d. government finance officers association e. health occupations students of america

Answers

Answer:
B. National Association for Health Professionals
Explanation:
Right on Brainly

There is an algal bloom in a bay in a populated area. as the leading marine biologist in the area, what is the most important thing to do, based on scientific evidence about such blooms?

Answers

As a leading marine biologist, the most important thing to do is to warn people to stay away from the affected area to evacuate all wildlife from the bay.

What is an algal bloom?

Algal bloom is the over growth of algae or algal look alike bacteria in the sea, river, or brackish water.

They are bad smelling and can be harmful for the animals and humans.

Thus, As a leading marine biologist, the most important thing to do is to warn people to stay away from the affected area to evacuate all wildlife from the bay.

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Suppose that a family wants to start a college fund for their child. if you invest in an account that pays 5.5% and want the fund to have a value of $53,000 after 18 years, how much should you deposit monthly? assume an annuity due. a. $142.98 c. $143.49 b. $143.30 d. $145.52

Answers

Answer:

C. $143.49

Explanation:

How does this example of dramatic irony affect the audience? it makes brutus appear heartless and cruel because he want mark antony killed. it heightens suspense because they underestimate mark antony who is dangerous. it makes mark antony look like he is a part of the conspiracy. it makes it look like mark antony wants caesar dead so he can become king.

Answers

The example of dramatic irony affect the audience is that It heightens suspense because they underestimate Mark Antony who is dangerous.

What is an irony?

The definition of irony is known to be a term that make use of words where the meaning is said to be in opposition to their real meaning or what is is seen to occur.

Therefore, The example of dramatic irony affect the audience is that It heightens suspense because they underestimate Mark Antony who is dangerous.

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Answer:

b

Explanation:

yes

What are the central ideas of this excerpt? select two options. antony wants everyone to know that he wanted caesar dead. antony does not believe that caesar deserves a funeral, but unwillingly agreed to speak to please the conspirators. the mistakes men make are remembered after their deaths, but their good deeds more often die with them. if caesar was power-hungry, it was a serious flaw, and he paid seriously for it. antony believes the conspirators should be rewarded with riches for their sacrifice and willingness to kill the ambitious caesar.

Answers

Answer: is C) and D) cuz ayshagibson said so....

Explanation:

The central ideas of this excerpt were that "The mistakes men make are remembered after their deaths, but their good deeds more often die with them" and that "If Caesar was power-hungry, it was a serious flaw, and he paid seriously for it".

Who spoke about Caesar?

Here, Anthony spoke about Caesar. It was written that the evils that people do will live after them even when they die. On the other hand, their good deeds will be forgotten. Also, if Caesar was power-hungry, it was a serious flaw, and he paid seriously for it. Anthony spoke I'll about him.

Antony who was unhappy at the death of Ceasar and who swore to avenge his death, in the speech above, remarked that the accusations made by Brutus and others against Caesar did not take into account his good deeds while alive.

Thus, he implied that people tend to forget the good deeds of others when they die but only recall their bad deeds. He also showed through this statement that if the accusations about Caesar being ambitious were actually true, he paid dearly for it given the way he died.

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At present, fossil fuels constitute our major source of primary energy, yet they are also the cause of large looming problems. which among them seems the most dangerous one?

Answers

Answer:

Depletion of oxygen

Explanation:

Anytime fossil fuels are used oxygen is needed for burning to take place whiles carbon dioxide is released

Which phrase from the excerpt is the best example of nonstandard english? claimed that she had been cow kicking her from behind was an ironing board things throwed at it

Answers

Answer:

yes

Explanation:

yes

Answer:

b

Explanation:

What is the opportunity cost of an investment? a. the combined values of the other opportunities available b. the value of the next most valuable opportunity c. the marginal benefit of the investment d. the volatility of the investment please select the best answer from the choices provided a b c d

Answers

Opportunity cost is the loss of the profit when an alternative resulting in loss is chosen. The opportunity cost of the investment is the value of the most valuable opportunity. Thus, option B is correct.

What is an opportunity cost?

Opportunity cost includes the let go of one opportunity when the other alternative is chosen. The loss of the most beneficial option is called the opportunity cost.

It is also called alternative forgone as the choice of an alternative includes the loss of the profits that could have been possible when the other option was chosen.

Therefore, option B. opportunity cost of the investment is the value of the next opportunity.

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Answer:

b

Explanation:

i did it

Does the residual plot show that the line of best fit is appropriate for the data? yes, the points have no pattern. no, the points are evenly distributed about the x-axis. no, the points are in a linear pattern. yes, the points are in a curved pattern.

Answers

The graph is not found here, but a residual plot shows that the line of best fit is appropriate for data when points are well distributed on the x-axis.

What is a residual plot?

A residual plot is a diagram showing residual values on the Y-axis and an independent variable on the X-axis.

This type of plot (residual plot) is used to see the matches between observed and fitted response values.

In conclusion, the graph is not found here, but a residual plot shows that the line of best fit is appropriate for data when points are well distributed on the x-axis.

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If you are involved in a minor crash and your vehicle is blocking the flow of traffic, you should

Answers

If you are involved in a minor crash that caused your vehicle to block the flow of traffic you should call a tow van for assistance.

What is a Tow Van?

A tow van is a vehicle that is used to move a vehicle that is not operational.

The tow vehicle is equipped with a winch and hoist mechanism to enable it attach a vehicle to itself.

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Answer:

Attempt to move it out of the way.

Explanation:

A group of students at a high school took a standardized test

Answers

how does the rest looks like

Explanation:

I mean explain your question more

Which phrase from the passage best supports the theme that humans possess the ability to be monstrous

Answers

A. spectacle of wrecked humanity Correct! The correct answer is: spectacle of wrecked humanity.

Positive feedback will not help your team feel motivated and engaged in their work or help them understand your company's standard True or false?

Answers

Answer:

False

Explanation:

If you are positive with your employees and motivate them with positive feedback, then they surely to be engaged in work better.

Describe how another political institution can influence the advancement of the federal legislation in the scenario.

Answers

Explanation:

The government can build up a policy, if they need help in the society...The federal legislation in the scenario can be influenced by the political institutions

A person going to a party was asked to bring 5 different bags of chips. Going to the store, she finds 20 varieties.

How many different selections can she make?
a.100
b.12,340
c.15,504
d.32

Answers

Answer:

A

Explanation:

The person can bring a selection of 20 bags because if you multiple the number of bags they were asked to bring by the number of varieties they got at the store you will get a 100

A because she was asked to bring 5 different bags of chips and there was 20 varieties of chips

Listen to the audio, read the question, and choose the option with the correct answer to the question. based on the audio, what is not true about the animal in the audio? it is valued for its meat. it lives in jungles and forests. it looks similar to a pig. it migrates in spring.

Answers

Answer:

It migrates in spring

Explanation: I took the test and got it correct

Answer:

migrates in the spring

Explanation:

got it right on the test

Examine the nuclear reaction: superscript 1 subscript 1 h plus superscript 1 subscript 0 n right arrow superscript 2 subscript 1 h.. why is this classified as a nuclear reaction rather than a chemical reaction? it is not balanced. a new compound is formed. a change has occurred in a nucleus. a new element has been formed.

Answers

Since the reaction is not given, answer will be subjective. It is a nuclear reaction rather than a chemical reaction as a change has occurred in a nucleus.

What is nuclear reaction?

Nuclear reaction is a term that connote the change in the state or characteristics of any kind of atomic nucleus that has been pressed or induce through bombardment with energetic particle.

Therefore,  It is a nuclear reaction rather than a chemical reaction as a change has occurred in a nucleus.

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Answer:c

Explanation:

How does the numbered list support the purpose of the text? it motivates runners to finish a 5k race in the fastest time possible. it shows runners the best way to warm up just before a 5k race. it provides a schedule for runners to follow as they train for a 5k race. it tells new runners how to sign up for and win a 5k race.

Answers

The numbered list support the purpose of the text as It provides a schedule for runners to follow as they train for a 5K race.

What is a running schedule?

A running schedule is known to be a simple formula that is used for any great training in terms of plan.

It includes Training three days a week. Therefore, The numbered list support the purpose of the text as It provides a schedule for runners to follow as they train for a 5K race.

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Explain why the amount of money in the account at the end of the first year is given by the formula with n as the exponent:

Answers

Answer: This is the formula you use for someone investing in money. The formula is actually supposed to be: A

Based on the audio, what did osvaldo's grandfather do every day? danced to cuban music listened to music played the piano wrote merengue lyrics

Answers

Osvaldo's grandfather do every day is listened to music. Learn more about instrument below.

What is string instrument?

The term stringed instrument, is known to be any form of musical instrument that creates sound by the action of the vibration of  strings.

Note that  Based on the audio, Osvaldo's grandfather love string instruments and he likes them.

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Answer: His grandfather loved listening to music everyday

Explanation: Hope that helped!!!

A grindstone spinning at the rate of 8.3 rev/s has what approximate angular speed?

Answers

Answer: 52.12 rad/s

Explanation:

Approx angular speed:

ω = 8.3( rev/s ) * 2(π)(1/rev)

= 8.3 * 2 * 3.14 = 52.12 rad/s

Contemporary abstract algebra 8th edition solutions

Answers

An example of Contemporary abstract A., question is "This software checks the validity of a Postal Service money order number. Use it to verify that 39539881642 is valid".

What is software validity?

Software validation is known to be the method  setting up documented evidence that shows that a computer system has been installed rightly.

Note that If input is“39539881642” one can say that the output have to be the same with the input.

Since the input number  in the above question is 39539881642, therefore, we can say that money order number is valid.

In another scenario, when input is“39539881632” and when it has one digit to be incorrect, Then we can say that your input number will be 39539881632 and thus, the number is not valid as a result of the the error that was detected.

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Mental states that involve problems perceiving reality and problems with thinking and feeling are called:

Answers

Mental states that involve problems perceiving reality and problems with thinking and feeling are called psychosis.

What is psychosis?

Psychosis is defined as a psychological or mental disorder which involve problems with perceiving reality and problems with thinking and feeling.

The symptoms of Psychosis include:

agitation,

hostility,

hyperactivity,

deficiency of speech

rapid and frenzied speaking.

Therefore, mental states that involve problems perceiving reality and problems with thinking and feeling are called psychosis.

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