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)

Learn more about the complex number here;

https://brainly.com/question/2218826

#SPJ1


Related Questions

Which letter represents the position of the object? w x y z

Answers

The letter represents the position of the object is Z. Check more about the object below.

Why is the object about?

The location of image formed by a converging lens is known to be dependent on the place or point that the object is.

Note that the image formed is said to be inverted and it will be located or can be found at Z and thus The letter represents the position of the object is Z.

Learn more about letter from

https://brainly.com/question/17054826

#SPJ1

Answer:

Z

Explanation:

The diagram shows an image of an object being reflected off a plane mirror.

A plane mirror standing up from a surface. On the right is a box labeled Y. Directly across from the box on the other side of the mirror is Z. On the opposite side of the mirror from the box, but further up from the surface is a sketch of an eye labeled W. Directly across from the eye is an X.

Which letter represents the position of the object?

W

X

Y

Z

What can we say about the rock as it falls to earth

Answers

Answer:

When any rock falls under gravity, the rock will move in vertical downward direction towards the centre of earth under a constant

Explanation:

Forms of money in the united states consist of paper money, coins, and _____.

Answers

Answer: "checking account balances"

Explanation:

     If you had the options:

bartering

minting

checking account balances

   The option "checking account balances" is the answer to your problem. In simple terms, this is the "money you have in the bank."

Learn more about your problem here: https://brainly.com/question/678565

Answer:

checking account balances

Explanation:

this is all you financial asset in the bank

Which food molecule would you eat if you haven't eaten in days

Answers

Answer:

Protein

Explanation:

Protein speeds up chemical reactions by lowering activation energy. It is used to form bones and build muscles. It is made up of an amino group, a carboxyl group, and an R group.

If you study bird ___, you'll learn that birds' bodies are well-adapted for flight.

Answers

Answer:

anatomy

Explanation:

birds' bodies is the clue

Alisha must wear dress pants and a blouse to work every day. she can buy an all-cotton blouse for $25, but it needs to be sent to the dry cleaner to be washed and ironed for $6 after each use. she can buy a wash and wear blouse of the same quality for $55 which she can stick in her washing machine and hang up to dry. if we ignore the cost of using her washing machine (which is offset by the cost of driving to the dry cleaner), after how many cleanings will she break even on buying the more expensive blouse?

Answers

After 6 wash and ironed, it crosses the value of quality blouse.

Linear variable

The power of x is 1.

What is a linear equation?

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one degree equation.

Cheap blouse = $25

Quality blouse = $55

For washed and ironed = $6

Calculation to get equal cost.

If she purchases a blouse of costs $25.

Then after first wash she spends = 25 + 6 = $31

Then after second wash she spends = 31 + 6= $37

Then after third wash she spends = 37+ 6 = $43

Then after the fourth wash, she spends = 43+6= $49

Then after the fifth wash, she spends = 49+6= 55

Then after the sixth wash, she spends= 55+6= 61

Thus, after 6 wash and ironed it crosses the value of quality blouse.

Learn more about the linear equation here,

https://brainly.com/question/2263981

#SPJ1

An increase in atomic number is related to an increase in atomic mass because

Answers

Answer: more protons are present in the atomic nucleus

Drag each item to indicate whether it is an example of water used in the production of food or energy

Answers

Based on the above, water used to produce for Food and Energy while energy production require a great deal of Water.

What is energy?

The term energy is known to be the ability or the power that is needed to do any kind of work.

Based on the above, water used to produce for Food and Energy while energy production require a great deal of Water as they are both essential source of energy and nutrients.

Learn more about energy from

https://brainly.com/question/14189314

#SPJ1

Answer:

WATER USED IN FOOD PRODUCTION: irrigating crops, making chocolate

WATER USED IN ENERGY PRODUCTION: cooling thermal plants, running hydroelectric dams

Explanation:

just did the question, these answers are correct.

What are the two types of long-term memory? a. sensory and short-term b. iconic and echoic c. explicit and implicit d. recency and primacy please select the best answer from the choices provided a b c d

Answers

Answer:

C.

explicit and implicit memory

Explanation:

Explicit memories, also known as declarative memories, include all of the memories that are available in consciousness.

Implicit memories are those that are mostly unconscious. This type of memory includes procedural memory.

Which will have cells? (Select all that apply.)
Animals monkeys plants or food

Answers

[tex] \boxed{ \frak{Answer}}[/tex]

As we that all living organisms have cells. Whether it is a plant or an animal. Cell is a fundamental unit of life. For an organism to live cell is mandatory.

And food is non living.

So,

Monkeys Plants

Will have cells

[tex] \boxed{ \frak{Be \: Brainly}}[/tex]

Answer: animals monkey

Explanation:

Which answer best describes the overall structure of the part of the text in which louis pasteur helps joseph meister?

Answers

The best description of overall structure of the part of the text is it explains what causes Pasteur to want to find a cure for rabies.

Who was Louis Pasteur?

Louis Pasteur is a famous French chemist and microbiologist. He is known for discovering the cure for rabies.

He is also known for preventing diseases in silk eggs. Pasteurization is the process of preventing microbes that spoil milk or other beverages. The process is in his name.

Thus, the correct option is A, it explains what causes Pasteur to want to find a cure for rabies.

Learn more about  Louis Pasteur

https://brainly.com/question/11137072

#SPJ1

Based on this theory, what distance will the handler move from the starting point to the return point if he creates an arc of a circle with radius 80 feet? 125.6 feet 502.4 feet 83.73 feet 62.8 feet

Answers

Based on this theory, the distance that the handler move from the starting point to the return point if he creates an arc of a circle with radius 80 fee is 125.6 feet.

What is a distance?

This is known to be the rate or amount of space that is found between two things and others.

Note therefore, Based on this theory, the distance that the handler move from the starting point to the return point if he creates an arc of a circle with radius 80 fee is 125.6 feet.

Learn more about distance from

https://brainly.com/question/2854969

#SPJ1

Which of these programmers creates the core game engine?

Answers

Answer: Engine programmer

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:

The trans-pecos eco-region in the western portion of texas receives less than 15 inches of rainfall in a year and has little soil due to overgrazing by farm animals. what catastrophic event is most likely to cause the most weathering and erosion in the least amount of time in this eco-region?

Answers

Answer:

Explanation:

On\

The tree in jacob's yard casts a shadow that is 27 feet long. jacob is 5 feet tall and casts a shadow that is 4.5 feet long. the two triangles formed are similar because the angle to the sun is the same. what is the height of the tree?

Answers

By using the fact that the two triangles are similar, we will conclude that the height of the tree is 30ft

How tall is the tree?

If the two triangles are similar, then the quotient between the height and the shadow length must be the same for both of them.

Then if H is the height of the tree we can write:

H/27ft = 5ft/4.5ft

Now we can solve this for H, we will get:

H = (5ft/4.5ft)*27ft = 30ft

So we can conclude that the height of the tree is 30ft.

If you want to learn more about similar triangles, you can read:

https://brainly.com/question/14285697

#SPJ1

Answer:

30 feet, I just did it.

Explanation:

What kind of poet were americans looking for after the civil war?

Answers

someone who could unify or at least help
heal the country

Which example lists minerals from hardest to softest? apatite, quartz, fluorite, talc diamond, talc, fluorite, topaz talc, calcite, orthoclase, diamond corundum, quartz, calcite, gypsum

Answers

Based on the Mohs hardness scale corundum, quartz, calcite, and gypsum are minerals listed from hardest to softest. Thus, option D is accurate.  

What is the Mohs scale?

Minerals are inorganic compounds that have characteristic structures and physical forms. The hardness and the softness of the minerals are estimated by the Mohs hardness scale.

Hardness is the physical characteristic that defines the resistance level of getting penetrated and scratched. According to the scale, the level of hardness is corundum (9), quartz (7), calcite (3), and gypsum (2).

Therefore, option D. corundum, quartz, calcite, and gypsum are minerals listed from hardest to softest.

Learn more about the Mohs scale here:

https://brainly.com/question/14536451

#SPJ1

A rectangular pyramid measures three feet by four feet at the base and has a height of seven feet. find its volume.

Answers

The volume of the rectangular pyramid is 28 cubic feet.

How to find the volume of the pyramid?

The volume of a pyramid of base B and height H is given by:

[tex]V = (1/3)*B*H[/tex]

Here we know that the height is H = 7ft, and the base is a rectangle of 4ft by 3ft, so the area of the base is:

[tex]B = 4ft*3t = 12ft^2[/tex]

Then the volume of the pyramid is:

[tex]V = (1/3)*7ft*12ft^2 = 28ft^3[/tex]

If you want to learn more about volumes:

https://brainly.com/question/1972490

#SPJ1

Which conclusion best explains the narrator's inability

Answers

Answer:

can I get a picture of the question?

The two structures that limit transpiration are known as

Answers

Leaf stomates are the primary sites of transpiration and consist of two guard cells that form a small pore on the surfaces of leaves. The guard cells control the opening and closing of the stomates in response to various environmental stimuli and can regulate the rate of transpiration to reduce water loss.

In 1960, an invasive species of fish was introduced into the stable ecosystem of a river. since then, the population of a native fish species has declined. this situation is an example of an ______

Answers

Answer:

ecosystem altered through the activities of an organism

Explanation:

if an organism enters an entirely new environment, its gonna disrupt the lives of other organisms through factors such as competition.

joseph flips a fair coin and rolls a fair number cube with sides numbered 1 through 6. what is the probability that he will roll a number greater than 4 and the coin will land on heads

Answers

Answer:

[tex]\frac{1}{6}[/tex]

Explanation:

Since both the events do not affect each other, they are independent. We are looking for the probability that both events happen, so we multiply the probabilities of each event.

The probability of rolling number greater than four would start with a denominator of 6 since there are 6 equally likely outcomes. The favorable outcomes number 2 since the only numbers greater than 4 are 5 and 6. So the probability is [tex]\frac{2}{6}[/tex] which simplifies to [tex]\frac{1}{3}[/tex].

The probability a coin would land on heads is just [tex]\frac{1}{2}[/tex] since you can get either heads or tails and there is only one favorable outcome.

Multiplying these together results in a final answer of [tex]\frac{1}{6}[/tex]

What do you notice about the traits of the offspring compared to the parents?

Answers

Answer: m

Explanation: m

Which three parts of this excerpt from frankenstein show that the creature is innocent and helpless like a newborn child when it first appears in the novel?

Answers

Answer: “and it was, indeed, a long time before I learned to distinguish between the operations of my various senses”, “I knew, and could distinguish, nothing; but feeling pain invade me on all sides, I sat down and wept.”, and “Sometimes I wished to express my sensations in my own mode, but the uncouth and inarticulate sounds”

Explanation:

The parts of this excerpt from Frankenstein that  show that the creature is innocent and helpless like a newborn child when it first appears in the novel are

A. and it was, indeed, a long time before l learned to distinguish between the operations of my various sensesB. l was obliged to shut my eyes

What is Frankenstein

"Frankenstein" is a novel written by Mary Shelley, first published in 1818. The full title of the novel is "Frankenstein; or, The Modern Prometheus." It is a work of science fiction, horror, and Gothic literature that has become a classic of English literature.

The novel tells the story of Victor Frankenstein, a young scientist who becomes obsessed with the idea of creating life. He succeeds in creating a living being using various scientific methods and reanimated body parts.

Read more about Frankenstein  here:

https://brainly.com/question/26690437

#SPJ2

see text below

Which parts of this excerpt from Frankenstein show that the creature is innocent and helpless like a newborn child when it first appears in the novel?

Frankenstein

by Mary Shelley (excerpt)

A strange multiplicity of sensations selzed me, and I saw, felt, heard, and smelt, at the same time; and it was, Indeed, a long time before I

learned to distinguish between the operations of my various senses. By degrees, I remember, a stronger light pressed upon my nerves, so that I

was obliged to shut my eyes. Before I had quitted your apartment, on a sensation of cold, I had covered myself with some clothes; but these

were Insufficient to secure me from the dews of night. I was a poor, helpless, miserable wretch; I knew, and could distinguish, nothing; but,

feeling pain invade me on all sides, I sat down and wept. Sometimes I wished to express my sensations in my own mode, but the uncouth and

inarticulate sounds which broke from me frightened me into silence again.

A. and it was, indeed, a long time before l learned to distinguish between the operations of my various senses

B. l was obliged to shut my eyes

C. Before l had quitted your apartment, on a sensation of cold

D. l had covered myself with some clothes

E. l knew and could distinguish nothing but feeling pain invade me on all sides l sat down and wept.

F. sometimes l wished to express my sensations in my own mode but the uncouth and inarticulate sounds

The overall chemical equation is upper c (s) plus upper h subscript 2 upper o (g) right arrow upper c upper o (g) plus upper h subscript 2 (g).. to calculate the final enthalpy of the overall chemical equation, which step must occur? reverse the first equation, and change the sign of the enthalpy. then, add. reverse the second equation, and change the sign of the enthalpy. then, add. multiply the first equation by three, and triple the enthalpy. then, add. divide the third equation by two, and double the enthalpy. then, add.

Answers

Balancing the given equation we find that it will be equal to:

[tex]3NaHCO_3+H_3C_6H_5O_7 \rightarrow Na_3C_6H_5O_7+3H_2O+3CO_2[/tex]

What does balancing chemical equations mean?

Reaction balancing is a method used in several areas of Chemistry to determine the amount of matter of each of the substances participating in the reaction, as well as to establish the existing proportions between the components.

Then the equation before performing the balancing is given by:

[tex]NaHCO_3+H_3C_6H_5O_7 \rightarrow Na_3C_6H_5O_7+H_2O+3CO_2[/tex]

For this equation to become balanced it will be necessary that:

On the right side of the equation we have more Na and H so it will be necessary to multiply by 3

So the balanced equation will be:

[tex]3NaHCO_3+H_3C_6H_5O_7 \rightarrow Na_3C_6H_5O_7+3H_2O+3CO_2[/tex]

See more about balanced equation at brainly.com/question/7181548

#SPJ4

Answer:

C.

Multiply the first equation by three, and triple the enthalpy. Then, add.

Explanation:

do you know how many hamster eyeballs go into your boba?

...

ask yourself..

is it worth it?

Read this excerpt from the people could fly "goodie-bye!" the old man called toby spoke to them, poor souls! and he was flyin gone. so they say. the overseer told it. the one called master said it was a lie, a trick of the light. the driver kept his mouth shut. which element of folktale is included in this excerpt? it has one version and is recounted the same way every time. it has different versions, depending on the storyteller. it is a story that relates to real historical events. it is passed down to generations through the written word.

Answers

The element of folktale that is included in this excerpt is; B) It has different versions, depending on the storyteller.

How to identify the element in an excerpt Passage?

Folktales are usually about ordinary people and everyday life. The stories include setting, characters, and a problem.

We are told that the old man called toby spoke to them, poor souls! and he was flying gone. Now, this we also see different answers from different people and as such we can say that this story has different versions depending on the storyteller.

Read more about Passage Excerpt at; https://brainly.com/question/10077332

#SPJ1

2. Now, let's turn our attention to memory strategies. (10 points) a. List two of the memory strategies you have learned. b. Provide specific examples of how you could use each memory strategy

Answers

1- Focus attention
2- Read out loud
3- Avoid cramming
4- Relate new information go thing you already know

What element of a myth does this excerpt contain? an explanation of how to deal with everyday life characters with exaggerated abilities a lesson about human behavior valid historical facts

Answers

The element of a myth does this excerpt contain an explanation of the natural world.

What is human behavior?

It is the way of expressing anger, joy and enthusiasm in result of situations humans face in their daily life.

Out of the following the lines which provides human behavior with everyday life characters ....

a description about a historical event

a lesson about the difficulties of life

an exploration of human behavior

an explanation of the natural world

Thus, the element of a myth, this excerpt contain is an explanation of the natural world.

Learn more about human behavior.

https://brainly.com/question/12174217?referrer=searchResults

#SPJ1

If prices rise by 1.5% a month, by how much will they increase over a full year? input your answer correct to two decimal places.

Answers

Answer:

18% in a year

Explanation:

We know that there are 12 months in a year. To to find the percentage of yearly increase, we just need to multiply the monthly percentage by the number of months in a year.

1.5% = 0.015

0.015 * 12 = 0.18

0.18 = 18%

So, the prices increase 18% in a year.

Other Questions
Rita earns $19.00 per hour. If she gets a 5% raise, what will be her new hourly wage?A. $19.05B. $24.00C. $19.95D. $18.05 Used after an introductory word or phrase:hyphenparenthesesquotation markscommaapostrophe I just need a description of what role bees play in pollination (its horticulture) btw answer the question What is the ph of a 0.00043 molar solution of lithium hydroxide (lioh)? Multiple choice: Circle the best answer.aThe height of a plant is likely to be determined bya. genetic factors.b. factors in the environment.C. both genetic and environmental factors.d. neither genetic nor environmental factors. Acetaminophen informationAny background, history, statistics, or interesting facts about acetaminophen.Drug Category {Narcotic, Depressant, Stimulant, Hallucinogen) AND DEFINE. Where does this drug come from {plant, lab, country} describe/explain . What were 2 political changes of the 1920s? What was the orange colour called in english before the late 15th century?. The diameter of a volleyball is 8.4 in. what is the approximate volume of the volleyball? a. 222 in.3 b. 233 in.3 c. 296 in.3 d. 310 in.3 A box has a length of 5 feet, width of 4 feet, be a height of 8 inches. what is the volume of the box in cubic inches A common brick is about 1.8 times denser than water. what is the apparent weight of a 0.20 m3 block of bricks under water? elect the correct answer. What is the formula of sulfurous acid? A. H2S B. HSO4 C. H2SO4 D. H2SO3 Hank has 6 black pens, 4 red pens, and 14 pencils in his desk drawer.If he reaches into his desk drawer and randomly selects something to write with, what is the probability that he will grab a pen? a sample of sulfur dioxide occupies a volume of 652 mL at 40.0 C and 0.75 atm. What volume will the sulfur dioxide occupy at STP? R is the 4th quadrant region enclosed by the x-axis and the curve y = x^2 - 2kx, where k>0. find the value of k so that the area of the region r is 36 square units. a. 2 b. 3 c. 4 d. 6 will vote brainliest, like, and rate! If the random samples are large, what is the shape of the sampling distribution of the mean?A. skewed to the leftB. skewed to the rightC. normalD. rectangular What is the sum of the angles in the image?50668676 pls help ASAP Ignore my other question _____is the field that studies how psychological factors such as stress influence the immune system and immune functioning.