how primes split in the cyclotomic field \Q(\zeta_p)

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Answer 1

A cyclotomic field problem is used to determine and understand how all rational primes (q) split in the integers of the given cyclotomic field F = Q(ζN).

What is a cyclotomic field?

A cyclotomic field can be defined as a number field that is typically obtained by adjoining the field of rational numbers with a complex root of unity to Q.

In number theory, a cyclotomic field problem is used to determine how all rational primes (q) split in the integers of the given cyclotomic field F = Q(ζN).

Where:

ζN is a root of unity of order N.

Furthermore, we can infer and logically deduce that a cyclotomic field is a very important mathematical expression which is used in number theory to analyze, depict, and understand how all rational primes (q) split in the integers.

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Related Questions

Sarita, a Spanish citizen, is employed at a Samsung facility in Texas. Samsung is a South Korean firm. Sarita would most likely be categorized as a(n) ________.

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Since Sarita who is a Spanish citizen, is employed at a Samsung facility located in Texas, he would most likely be categorized as a third-country national.

Who is an employee?

An employee can be defined as an individual who is employed by an employer of labor in a business firm, so as to perform specific tasks, duties or functions on a daily basis, which is usually on a full-time or contract basis.

In this scenario, we can infer and logically deduce that Sarita would most likely be categorized as a third-country national because he is a Spanish citizen, is employed at a Samsung facility located in Texas.

In conclusion, it is very important to note that a third-country national refers to an individual (employee) that is living in a foreign country other than his or her country of origin, and applying for a visa to enable him or her legally migrate to another foreign country.

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Review the items below and determine which would cause an increase in the monthly bank statement balance.

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The factors that would cause an increase in the monthly bank statement balance are:

Cash deposit by the account owner orCash deposit by the customer of the account ownerThe interest paid into the bank on the bank balancea note received by the bank on the account holder's behalfmonies deposited during the month by other parties

What is monthly bank statement?

This simply refers to the details of transactions that have been ex.ecu.ted in a bank account.

Cash deposits or check deposits have the power to increase the balance in a bank account.

Why is a bank statement important?

An account statement is another name for a bank statement.

It demonstrates if the bank is liable for an account holder's funds. Bank statements are an excellent resource for account holders to manage their finances.

Account holders can use them to

monitor their spending, spot problems, and detect patterns.

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The cost to taxpayers is estimated at billions of dollars for:

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The cost to taxpayers such as employees is estimated at billions of dollars for: unethical practices in financial reporting.

What is taxation?

Taxation is the involuntary fees that are levied on individuals or business firms by the government of a particular country, so as to generate revenues that can be used to fund public projects, institutions and activities.

What are ethics?

Ethics simply refers to a set of unwritten and written standards, principles, values or rules of moral conduct that're established to guide human behaviors, especially with respect to their relationship with others.

Based on historical financial accounting records, we can infer and logically deduce that the cost to taxpayers such as employees is estimated to be at billions of dollars for their engagement in unethical practices in financial reporting.

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how to determine if values are significantly different

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Answer: go on khan academy

Explanation: they have very topic and videos

A house party where those invited are sold merchandise such as jewelry, vacuum cleaners, or cosmetics is an example of the type of nonstore retailing known as selling.v

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A house party where those invited are sold merchandise such as jewelry, and vacuum cleaners is known as direct selling.

What is Direct Selling?

This refers to the type of selling that is done where goods are sold to people at an open event.

Hence, we can see that based on the fact that a house party was called and people were sold jewelry and other merchandise, this qualifies as direct selling.

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Refer to Figure 7-5. If the supply curve is S', the demand curve is D, and the equilibrium price is $150, what is the producer surplus

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The producer surplus when the equilibrium price is 150 is given as $625.

How to solve for the consumer surplus

We have to trace the equilibrium price and its corresponding quantity. This can be seen to  be 150 dollars and 25

We have to solve this using the formula to find a triangle

0.5 b * h

= 0.5 * 150 - 100 * 25

= $625

hence the conclusion is that the producer surplus is $625

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From the feminist perspective, the socialization of women with multiple social identities inevitably affects all of the following, except:

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From the feminist perspective, the socialization of women with multiple social identities inevitably affects all of the following, except: engendered lives.

What is the feminist perspective?

This is the perspective that is shared in the society where it is said that men and women are to be treated the same way in the society.

The perspective advocates having equality of danger in the society with no special favors given to any. The perspective helps to highlight the issues that are not looked upon in today's social society.

It talks about the gender subordination that women all over the world have suffered due to their gender and the reasons why there are gender oppressions in the society that we live in today. An example of this would be when women are excluded from clinical drug trials.

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you are given five integers and your task is to find the smallest of them

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The minimum number of comparisons to find the smallest number from 5 integers is 4.

How to find the Smallest Integer?

Let the five numbers be a,b,c,d and e.

Let s be an integer

Comparison 1:

a and b will be compared first and the smaller number of them will be equal to s

Comparison 2:

Now, a smaller number between a and b that is s will be compared with c. Similarly, the smaller number of both numbers will be taken as s in the next comparison.

Comparison 3:

Likewise, s and d will be compared and a smaller number will be taken as s for the next comparison

Comparison 4:

Likewise, s and e will be compared and a smaller number will be taken as s for the next comparison.

After 4th comparison, s will be equal to smallest number of 5 integers.

Thus;

Total comparisons = 4

Therefore, the minimum number of comparisons to find the smallest number from 5 integers is 4.

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etermine whether each cell is an agranulocyte or a granulocyte.

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Agranulocytes has Lymphocytes and monocytes while granulocytes has neutrophil and eosinophil.

What is granulocyte?

Granulocyte is a type of immune cell with particle like substances called granules. These particles are often seen when there is infections, allergic reactions, while the agranulocyte lack particles.

Therefore, Agranulocytes has Lymphocytes and monocytes while granulocytes has neutrophil and eosinophil.

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What should be changed to make the following sentence true? "For centuries, psychological disorders were viewed from a natural perspective: attributed to a force beyond scientific understanding."

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It is expected to modify the word "natural" to "supernatural" to make the sentence true.

What are psychological disorders?

Psychological disorders (e.g.. anxiety disorder) are mental problems caused by the failure of cognitive skills.

In the past, it has been believed that psychological disorders were caused by supernatural forces, which is not scientific point of view

In conclusion, it is expected to modify the word "natural" to "supernatural" to make the sentence true.

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The ability to see 3-D movies is an instance of using motion parallax.

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The ability to see 3-D movies is an instance of using motion parallax is false.

What is 3-D movie?

These are usually watched with the aid of special glasses which provide 3 dimensional solidity.

Motion parallax on the other hand involves monocular depth cue as a result of relative velocities moving across the retina and closer objects tends to move faster.

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Which of the below, including creditors/lenders, could ask people to submit a credit report

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The people including including creditors/lenders that, could ask people to submit a credit report are D. All of the above

What are credit reports?

It should be noted that credit reports simply means a list of the bill payment history, current debt, loan, and other financial information that an individual has.

In this case, the people including including creditors/lenders that, could ask people to submit a credit report are employers, landlords, insurance companies, etc.

Therefore, the correct option is D.

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Complete question

Which of the below, including creditors/lenders, could ask people to submit a credit report?

Employers

Landlords

Insurance companies

All of the above

An investor buys an 8.0% coupon bond to yield 7.0%

Answers

Answer:

Explanation:

This bond has a coupon of 8.0% and a yield-to-maturity of 7.0%, indicating that the bond is trading at a premium. The price of a bond will always trend towards par as maturity approaches. Given that this bond is trading at a premium (e.g. 105% of par), the price would need to decrease to arrive at par value

Match the descriptions to the correct diseases to test your understanding of infections that affect the lower respiratory system.

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The descriptions have been matched to the correct diseases that test our understanding of infections that affect the lower respiratory system as follows:

Diphtheria- Caused by Corynebacterium diphtheria which eventually results in pseudomembrane formation on the tonsils or pharynxOtitis Media- Most common cause is Streptococcus pneumonia and results in a sensation of fullness or pain in the earBacterial pharyngitis- Streptococcus pyogenes infection that results in a sore throat with reddened mucosa, swollen tonsils, and pus nodulesCommon cold- Caused by hundreds of viruses and results in sneezing, scratchy throat, and runny noseSinusitis- Caused by a number of bacteria and results in nasal congestion, pressure above the nose or in the forehead, and headacheWhat are lower respiratory tract diseases?

Lower respiratory tract diseases are diseases that affect the lower end of the respiratory tract. Some diseases that fall into this category are asthma, pneumonia, bronchitis, etc.

All of these affect the lungs and can also result in difficulty breathing, The various explanations of these diseases have been provided in detail above.

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Each plate of a capacitor stores a charge of magnitude 1 mC when a 100 V potential difference is applied. The capacitance is:

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Based on the calculations, the capacitance is equal to 1O uF.

Given the following data:

Magnitude of charge, Q = 1 mC.

Potential difference, V = 100 Volts.

How to calculate the capacitance?

Mathematically, the magnitude of charge that is stored by each plate of a capacitor can be calculated by using this formula:

Q = CV

Where:

Q represents the magnitude of charge.V represents the potential difference.C represents the capacitance.

Making capacitance the subject of formula, we have:

C = Q/V

Substituting the given parameters into the formula, we have;

C = (1 × 10⁻³/100)

C = 1 × 10⁻⁵ F.

C = 1O uF.

Note: The charge on the plates is the same before and after immersion whenever the battery is disconnected.

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A government imposes a $10 per-unit tax in a competitive market. Afterward, the seller's after-tax price falls from the original equilibrium price of $20 to $18. Based on this, which of the following is true

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The statement which is TRUE based on the above information is: "Producers are bearing 10% of the tax burden." (Option A)

What is tax burden?

Tax burden simply refers to the amount of tax that a corporate or legal individual must as a result of their economic activities.

How do we arrive at the answer above?

The seller's pricing level was $20 before tax. However, after tax, the seller's price is $18. So,

Producers get after tax = [(New selling price - Old selling price) / Old selling price] * 100

As a result, after taxation, producers get

= [(18 - 20) / 20] * 100

= - 10%.

This indicates that after taxation, manufacturers receive 10% less than before. This means that the producers shoulder 10% of the tax burden.

As a result, all alternatives except option A are incorrect. This makes Option A the right response.

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Full Question:

A government imposes a $10 per-unit tax in a competitive market. Afterward, the seller's after-tax price falls from the original equilibrium price of $20 to $18. Based on this, which of the following is true? Explain why you chose that option.

A) Producers are bearing 10% of the tax burden.

B) The next after-tax equilibrium price will be $30.

C) Consumers are bearing 80% of the tax burden.

D) The government will collect less than $10 per unit exchanged of the good.

E) The quantity demanded will decrease by 10%.

Choose the correct approximation for the direction angle the resultant vector makes with the horizontal force.

Answers

The resultant vector is known to have made a 6.3-degree angle with the horizontal force, hence correct option is A.

How do you  determine angle of the resultant vector ?

The resultant angle between the vectors is given by

θ = [tex]tan ^{-1}[/tex] = [tex]\frac{B sin θ}{A + B cos θ}[/tex]

Note that the two forces are said to have the magnitude of 17.3 and 42.5 pounds hence, the angle of the resultant vector is known to be:

[tex]θ = tan^{-1} = \frac{17.3 sin 21. 9}{42.5 + 17.7 cos 21.9 }[/tex]

=  (6.453/58.55)

= 6.2886 degree

= 6.3 degree.

Therefore, in the above scenario, the resultant vector makes a 6.3-degree angle with the horizontal force.

See full question below

Two forces of 17.3 pounds and 42.5 pounds act on a body with an angle of 21.9 degrees between them. The force of 42.5 pounds acts on the body in the horizontal direction. Choose the correct approximation for the direction angle the resultant vector makes with the horizontal force.

a. 6.3

b. 21.9

c. 15.7

d. 10.9

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Refer to the graph above. At equilibrium, consumer surplus would be represented by the area: A) a b B) a b c C) a D) b c

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Given the information in the attached graph, at equilibrium, consumer surplus would be represented by the area: "d"

What is equilibrium?

The point of equilibrium is the Price - point on the graph where Demand and Supply coincide.

Hence, it is right to stat that the portion of the graph that demonstrates excess demand is "d".

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6. Schedule the following activities using CPM:

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Activities are scheduled with the use of CPM through the use of critical paths.

This shows the longest sequence of activities that must be completed within a given time for the completion of a project.

What is CPM?

This refers to the instrumental tool that is commonly used by a project manager to calculate and predict the duration of a project.

How to create a CPM schedule:

Identify each specific activity.Make an estimate about the time duration of each activity. Find out the sequences of each activity and their dependencies. Map the network diagramIdentify the critical path.

Hence, we can see that your question is incomplete so I gave you a general overview to help you get a better understanding of the concept.

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The best predictor of your success in the physical activity professions is probably the level of commitment you make in preparing yourself to be the most knowledgeable and highly skilled practitioner possible.

Answers

The best predictor of success in the physical activity professions is the level of commitment in preparing to be the most knowledgeable and highly skilled practitioner possible is a true statement.

What is Commitment?

This refers to a high degree of dedication to a particular cause or action in his context.

When an individual is committed then more knowledge will be gained thereby making the individual successful.

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In Florida, which of the following is one of the legal requirements while operating a PWC

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One of the legal requirements while operating a PWC is to secure the motor cut-off cord.

What other requirements can be cited?The PWC must contain a fire extinguisher.The PWC must contain a signaling device.The PWC operator must be at least 14 years of age.

The requirement on the engine cut-off cord is made to ensure the safety of the PWC operator and the integrity of the vehicle, because by leaving this cord loose, serious accidents can happen, putting everyone involved in danger.

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The accounting records of Hampton Company provided the data below ($ in thousands).

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Answer: yeah man I have no clue

Explanation: I have no Explanation

Match each vegetative plant organ to its correct description.

Answers

Vegetative plant organs and their correct descriptions are as follows:

Root: Absorbs water from the soil.Stem: Supports the entire plant.Leaf: The leaves trap energy from the sun to make food.

What are vegetative plant organs?

Vegetative plant organs are the parts of a plant that support its growth. There are three main parts and they are the root, the stem, and the leaves. The root absorbs water and nutrients from the soil.

The stem gives the plants support and provides structure while the green coloring leaves make food through photosynthesis.

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A(n) ________ is used to describe the combining of two companies that are equal in size.

Answers

Answer:

the answer you are looking for is Merger

Justices of the peace (JP courts) in Texas can do all of the following EXCEPT

Answers

Justices of the peace (JP courts) in Texas can do all of the following except hearing traffic ticket appeals.

What is Justices of the peace (JP courts)?

They usually sit in the lowest of the state courts and take care of minor civil and criminal issues.

They issue arrest warrants and hear criminal cases but aren'tinvolved in hearing of appeals as it is done by a higher court.

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what is the velocity of a skateboarder whose

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The velocity of the skateboarder will be 6.67 m/s. The correct option is D.

Velocity

The momentum of a moving body or object is defined as the product of the mass of the object and its velocity.

Mathematically:

Momentum = mass x velocity

In this case, momentum = 100 kgm/s and mass = 15 kg

Thus, velocity = momentum/mass = 100/15 = 6.67 m/s

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What is the velocity of a skateboarder whose momentum is 100 kg-m/s and mass is 15 kg? Round to the nearest hundredth. A. 3.33 m/s B. 13.25 m/s C. 6.67 kg D. 6.67 m/s

Hoods become necessary any time water temperatures drop below:

Answers

Hoods become necessary any time water temperatures drop below: 20°C/68°F.

Why  is it necessary to use  Hoods any time water temperatures drop below: 20°C/68°F?

It is important to use hood so as to adjust the cold temperature, so as to be able to gain heat.

Therefore, hood serves as a  covering for the head as well as the  neck which has a opening face that prevent cold.

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What city is located where the Mississippi and Missouri rivers meet

Answers

I'm pretty sure it's St. Louis, Missouri

I like your jacket a lot, can you lend it to me

Answers

The given sentence is an example of a question.

What is a Question?

This refers to the sentence or utterance that is said to a person that demands a response or information.

Therefore, we can see that there are four types of questions in the English language and they are:

General or Yes/No Questions.

Special or Wh-Questions.

Choice Questions.

Disjunctive or Tag Questions.

Therefore, we can see that the given question is a request as the speaker admires a jacket and wants to know if the owner can lend it to him so he can wear it for a while.

The owner of the jacket has the prerogative to either accept his request or to reject it as it is a request, and not a command.


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LLCs do have to submit articles of organization and an operating agreement, but do not have to: Multiple select question. keep minutes file written resolutions pay self-employment taxes hold annual meetings

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LLCs do have to submit articles of organization and an operating agreement, but don't have to:

Keep minutesFile written resolutionsHold annual meetings

What is a LLC?

LLC is anacronym for limited liability company and it can be defined as a type of legal hybrid-business structure that can combine both partnership and corporation form of business, and the owners are only responsible for its debts with respect to the amount of capital they have invested.

However, it is important to note that limited liability companies (LLCs) have to submit articles of organization and an operating agreement, but don't have to:

Keep minutesFile written resolutionsHold annual meetings

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Roger can use his existing resources to produce the following combinations of goods. Based on this information, which of the following statements is true?a) The opportunity cost is constant for producing bicycles b) Roger should specialize in bicycles c) Roger should specialize in skateboards d) the opportunity cost of the third bicycle is five skateboards e) Roger enjoys an absolute advantage in the production of skateboards The rational choice perspective on religion suggests that __________ What three precious gifts does christian receive immediately after his burden falls away? what is a cartogram and what does it display The temperature was -20.5F at 5 A.M. and rose 5 degrees per hour for the next 5 hours. Melissa says the temperature at 10 A.M. was -5.5F. Which statement identifies Melissas error and the correct answer?A.Melissa multiplied incorrectly. The correct answer is -0.5F.B.Melissa multiplied incorrectly. The correct answer is 9.5F.C.Melissa added incorrectly. The correct answer is 4.5F.D.Melissa added incorrectly. The correct answer is 5.5F. Does (5,-8),(3,5),(3,-3),(2,8) represent a function I need help with the slope At which point on the graph are resources not used efficiently?point Apoint Fpoint Xpoint Y what is the term for the identification with, and feeling part of, a cultural tradition and subsequently the exclusion or isolation felt when intorudced What mass of ammonium sulfate, (NH4)2SO4 must be added to prepare 200.0 g of a 3.5% solution of ammonium sulfate in water? how to determine if values are significantly different PLEASE HELP AND GIVE A FULL EXPLANATION I WILL GIVE BRAINLEST PLEASE SOMEONE Quick algebra 1 assignment for 50 points!Experts and Geniuses please help asap, TYSM!Oh by the way this is just a section of the real assignment, the assignment calls for you to make an app that people can play to learn inverse variation & direct variation and stuff. Hope that helps solve this! :) A projectile leaves the ground at an angle of 60 the horizontal.Its kinetic energy is E.Neglecting air resistance, find in terms of E its kinetic energy at the highest point of the motion It is important to learn effective ways to give feedback to be an effective communicator and professional. For thisdiscussion, think about the 4-Step formula from the lecture. Read the scenario below, then answer the prompts.Scenario:Jade is a senior marketing coordinator at a large communications company. One of Jade's responsibilities is to mentornewly hired employees like Carla. Two weeks after Carla is hired, Jade notices that Carla's email messages aresometimes too informal. As her mentor, Jade decides to give Carla feedback to help her improve.Hi Carla,I saw your recent report to the manager. I know that you are supposed to send me the reports to proofread for you, but I kind of assumed you would proofreadthem for basic errors before you sent them to me. I think we all were hired because we know how to use professional communication skills, so I was kind ofhoping you would do a better job of fixing your report for major errors before you sent it to me. Can you start doing that please? I am really finding it timeconsuming to fix mistakes you could have spotted easily.1. Describe if you felt Jade's feedback was effective or not based on what you learned about feedback from the lecture.2. List suggestions on how Jade could improve her feedback to Carla. A technician needs to upgrade the RAM in a database server. The server's memory must support maintaining the highest levels of integrity. Which of the following type of RAM should the technician install If an investor sells 1 TCB Jul 40 put and buys 1 TCB Jul 50 put, and subsequently sells the Jul 50 put, what is the consequence Please give detailed explanation What are the differences between laminar flow and turbulent flow? The following figures show four positions (1-4) of a comet during its orbit of the Sun. Also shown is the orbit of the Earth around the Sun. Rank the positions of the comet from left to right based on the size of its tail, from shortest to longest. (Not to scale; tails not shown.)