When p(x) touches but does not cross the x-axis at (r,0) what must be true of p(x)
Answers
When p(x) touches but does not cross the x-axis at (r,0), it means that (r,0) is a root of multiplicity greater than or equal to 2 for the polynomial p(x).
What does it mean when a polynomial touches but does not cross the x-axis at a given point?When a polynomial function, p(x), touches but does not cross the x-axis at a specific point (r,0), it indicates that (r,0) is a repeated root of the polynomial. In other words, the value of x=r makes the polynomial p(x) equal to zero, but it does not change the sign across the x-axis. This behavior occurs when the polynomial has a root of multiplicity greater than or equal to 2 at (r,0).
To understand this concept better, let's consider a quadratic polynomial as an example. A quadratic equation in the form of p(x) = ax^2 + bx + c, where a, b, and c are constants, represents a parabolic curve on a coordinate plane. When the discriminant (b^2 - 4ac) of the quadratic equation is equal to zero, it indicates that the quadratic equation has a repeated root. Geometrically, this means that the parabola touches but does not cross the x-axis at the x-coordinate of the root.
When a polynomial touches the x-axis without crossing, it implies that the graph of the polynomial is tangent to the x-axis at that specific point. This behavior signifies a higher degree of "flattening" at the root, where the polynomial curve just grazes the x-axis without intersecting it. The greater the multiplicity of the root, the closer the graph of the polynomial approaches the x-axis without crossing it.
Understanding the behavior of polynomials at specific points, such as when they touch or cross the x-axis, is crucial in graphing and analyzing polynomial functions. It provides insights into the number and multiplicity of the roots, helping us comprehend the overall shape and characteristics of the polynomial graph.
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Related Questions
What is a challenge of digital learning?
Answers
Answer:
That you miss interactions with teachers and friends plus, your eyes get weaker
Explanation:
Hope this helps
based on the meaning of the prefix "inter", what does international mean
Answers
Answer:
Between different countries
Explanation:
Inter means between or among- international is between different nations or countries.
Which quotation from the excerpt from Walden is the best example of Thoreau using self-analysis, like the author in the sentences above, to express the same idea?
Answers
Answer:
"I never found the companion that was so companionable as solitude". Paragraph 1.
Explanation:
Self-analysis is the attempt by a writer to understand certain aspects of his personality through a conscious analysis. In the excerpt above, Walden analyzed his disposition to solitude.
Solitude was an aspect of his personality. He enjoyed being alone in secluded places where he could think deeply about life. Thoreau performs a self-analysis by reflecting on this aspect of his life, without the input of another person.
5. From what point of view is this passage narrated?
(1 Point)
A. second-person narration
B. third-person narration
C. first-person narration
D. first-person limited narration
Answers
This passage is narrated in third-person narration, as it does not use any personal pronouns, such as "I" or "me". The correct answer B.
Third-person narration is a form of storytelling in which the narrator is referring to the characters in the story as "he", "she", "they", and so on.
In this type of narration, the narrator is not one of the characters and is instead speaking about the characters and events as if they are separate from them.
This allows the narrator to provide a more objective perspective and to provide more insight into the characters and events than would be possible if they were part of the story.
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The speaker’s evolving description of the reed throughout the poem ultimately serves to emphasize a claim about the:.
Answers
The speaker's description of the reed throughout the poem, ultimately emphasizes the claim of the: Insignificance of a human life compared to the eternal flow of time.
What is a Poem?A poem is a piece of writing that expresses feelings or ideas and gives a particular attention to the diction which may at times involve rhymes, rhythm, imagery or a particular style of format. In poems, words are carefully chosen for their beauty or style or for the way they sound and they are beautifully arranged to form rhymes.
In the article, the speaker carefully describes the insignificance of human life compared to the eternal flow of time. He continues laying emphasizes on the point throughout the lines of the poem.
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The restaurant was very busy and crowded with diners; we decided to eat at a different establishment A Nochange. B diners or we. C diners,we. D diners we
Answers
Answer:
c
Explanation:
HURRY PLEASEEEE
Question 4.
Read the following passage carefully before you choose your answer.
This passage is taken from a book that chronicles a man's exploration of Alaska.
(1)It was now near dark, and I made haste to make up my flimsy little tent. The ground was desperately rocky. I made out, however, to level down a strip large enough to lie on, and by means of slim alder stems bent over it and tied together soon had a home. While thus busily engaged I was startled by a thundering roar across the lake. Running to the top of the moraine, I discovered that the tremendous noise was only the outcry of a newborn berg about fifty or sixty feet in diameter, rocking and wallowing in the waves it had raised as if enjoying its freedom after its long grinding work as part of the glacier. After this fine last lesson I managed to make a small fire out of wet twigs, got a cup of tea, stripped off my dripping clothing, wrapped myself in a blanket and lay brooding on the gains of the day and plans for the morrow, glad, rich, and almost comfortable.
(2)It was raining hard when I awoke, but I made up my mind to disregard the weather, put on my dripping clothing, glad to know it was fresh and clean; ate biscuits and a piece of dried salmon without attempting to make a tea fire; filled a bag with hardtack, slung it over my shoulder, and with my indispensable ice-axe plunged once more into the dripping jungle. I found my bridge holding bravely in place against the swollen torrent, crossed it and beat my way around pools and logs and through two hours of tangle back to the moraine on the north side of the outlet,—a wet, weary battle but not without enjoyment. The smell of the washed ground and vegetation made every breath a pleasure, and I found Calypso borealis1, the first I had seen on this side of the continent, one of my darlings, worth any amount of hardship; and I saw one of my Douglas squirrels on the margin of the grassy pool. The drip of the rain on the various leaves was pleasant to hear. More especially marked were the flat low-toned bumps and splashes of large drops from the trees on the broad horizontal leaves of Echinopanax horridum2, like the drumming of thundershower drops on veratrum and palm leaves, while the mosses were indescribably beautiful, so fresh, so bright, so cheerily green, and all so low and calm and silent, however heavy and wild the wind and the rain blowing and pouring above them. Surely never a particle of dust has touched leaf or crown of all these blessed mosses; and how bright were the red rims of the cladonia cups beside them, and the fruit of the dwarf cornel! And the wet berries, Nature's precious jewelry, how beautiful they were!—huckleberries with pale bloom and a crystal drop on each; red and yellow salmon-berries, with clusters of smaller drops; and the glittering, berry-like raindrops adorning the interlacing arches of bent grasses and sedges around the edges of the pools, every drop a mirror with all the landscape in it. A' that and a' that and twice as muckle's a' that in this glorious Alaska day3, recalling, however different, George Herbert's "Sweet day, so cool, so calm, so bright.4"
(3)In the gardens and forests of this wonderful moraine one might spend a whole joyful life.
1 A rare orchid found in northern, mountainous areas.
2Also called Devil's Club, Echinopanax is a large-leafed shrub that grows in moist, dense forests mostly in the Pacific Northwest of the United States.
3 Reference to Scottish poet, Robert Burns's poem that rejoices over the wide variety of positive traits in his wife.
4 Reference to a George Herbert poem that celebrates the glory found in nature and mourns the fact that it all must die.
The author's attitude toward the Calypso borealis can best be described as one of
A. shock
B. reverence
C. indifference
D. curiosity
E. caution
Answers
The author's attitude toward the Calypso Borealis can best be described as one of option B. reverence.
In the passage, the author expresses admiration and fondness for this particular plant. They describe the Calypso Borealis as one of their "darlings" and worth any amount of hardship. This indicates a strong sense of appreciation and respect for the plant. Furthermore, the author goes on to mention the smell of the washed ground and vegetation, which made every breath a pleasure.
They take note of the beauty and freshness of the mosses, describing them as "so fresh, so bright, so cheerily green." The author also expresses delight in the red rims of the Cladonia cups and the fruit of the dwarf cornel. They find the wet berries and raindrops adorning the landscape to be beautiful and precious.
The overall tone of the passage is one of admiration and enjoyment of the natural surroundings. The author's description of the Calypso borealis and their observations of the other elements of nature demonstrate a genuine reverence for the beauty and intricacy of the plant and its environment. Therefore, the correct answer is option B.
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Read these paragraphs and answer the question that follows:
In 2008, more than one million American students gave nearly 20 million service hours to their communities. They made a difference in people's lives and learned some important life lessons in the process. Organizations, including schools, are actively promoting service for all citizens as a way to be involved, help others, and improve themselves.
Service is helping other people and being active in your community. For example, one group of teens planted a community garden with their friends. They grow a variety of vegetables. The garden requires regular care. The teens donate the produce to a local soup kitchen. Workers there use the produce to help feed people in the community. By tending the garden and donating their produce, the teens are actively helping make life a bit better for others in their community.
Service is valuable in ways that cannot be measured in dollars. People volunteer or serve others without expecting money or gifts in return. Service is not about earning money. It is not just collecting money to give to a group. It is about action and contributing to the common good. The people who serve as well as those who receive help benefit in many ways that are more important than money or gifts. For example, a soup kitchen provides essential food to people who may otherwise go hungry. The soup kitchen is extremely valuable for those struggling to get enough to eat. Those serving learn about compassion and how helping others can improve life for all.
Millions of Americans are making society better for themselves and for others. They are participating citizens in their community, raising up those who are less fortunate. In return, they become better people who can understand the perspectives and needs of others, which are invaluable and important qualities of good citizens.
Which sentence best represents the main idea of paragraph (2), the first body paragraph?
(5 points)
Group of answer choices
They made a difference in people's lives and learned some important life lessons in the process.
Service is helping other people and being active in your community.
It is about action and contributing to the common good.
The teens donate the produce to a local soup kitchen.
Answers
Answer:
C because when you think about it it talks the most about common goods
In Part 2, Chapter 9, the Party’s ability to change enemies in the middle of Hate Week mainly shows that ______
Answers
It is not stable that is why it is able to change
Select the letter of the corresponding correct answer:
1. A requested task is subject to be reported when:
When it requests for an app to be tested
When it requests Workers to contact the Employers directly
When it is asking for 3 proofs
When it requests for email address to be submitted
Answers
None of the aforementioned choices adequately explains when a requested job must be reported. Depending on the platform or service being utilised, different tasks may have different reporting requirements.
Depending on the platform or service being utilised, different tasks may have different reporting requirements. In general, though, a requested job could be the topic of a report if it transgresses the platform's or service's terms of service or community rules. For instance, a task may need to be reported if it includes criminal activity or violates someone's intellectual property rights. Also, the job may be reported if the requester or worker exhibits dishonest behaviour or violates the platform's guidelines. To understand what kinds of chores may be required to be reported, it is often a good idea to check the policies and terms of service of the platform or service.
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Myths and legends podcast, episode 47 - urban legends: in the dark
Answers
The answer response is given in the image attached.
What is the Myths about?For each legend, the table lists the setting where the story takes place, the character(s) involved, the villain and their weapon, what the person is doing right before the attack happens, and the purpose of the tale.
The purpose of these urban legends is often to warn people of the potential dangers that can happen when they're alone or in unfamiliar surroundings. Some legends, like the glass door and wooded area stories, caution people against trusting strangers or going to secluded areas alone.
Therefore, these urban legends serve as cautionary tales to remind listeners to stay vigilant and be mindful of their safety in potentially dangerous situations.
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In lines 159 and 178, Juliet makes reference to owning a bird- one a falcon and the other a pet. How do these metaphors characterize the kind of relationship Juliet wants with Romeo
Answers
In lines 159 and 178 of Romeo and Juliet, Juliet uses the metaphors of a falcon and a pet to characterize the kind of relationship she wants with Romeo.
In line 159, Juliet says, "And I am fortune's fool, to have my eyes by a fool louted." In this line, Juliet compares herself to a falcon that has been caught by a fool. The falcon is a symbol of freedom and wildness, while the fool is a symbol of foolishness. By comparing herself to a falcon, Juliet is expressing her desire for a relationship that is passionate and exciting.
In line 178, Juliet says, "My eyes are made to look on thee, and I have no other use for them." In this line, Juliet compares herself to a pet that has been domesticated and trained to obey its master. The pet is a symbol of obedience and submission, while the master is a symbol of power and control. By comparing herself to a pet, Juliet is expressing her desire for a relationship that is committed and stable.
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aliah and kaitlynn and everyone else i know, i wont be on anymore.
Answers
Which of the monkeys is showing an instinctual behavior?
Behavior Shown by Monkeys
Monkey 1 protected its baby from another monkey
Monkey 2 taught another monkey to find food
Monkey 3 cleaned food to eat
Monkey 4 found shelter when it rained
A. Monkey 1
B. Monkey 2
C. Monkey 3
D. Monkey 4
pls help
Answers
Answer:
4 monkey
I hope your answer is correct^_^;
monkey 4 i think, hope this helps :)
In "The Raven and the First Men: The Beginnings of the Haida,” which evidence best helps the reader infer that the Haida might find it acceptable behavior to play tricks on one another?
Answers
The evidence that the Haida find it acceptable to play tricks is "The story presents Raven's trick against the Sky Chief in a matter-of-fact manner," option A.
What is evidence?In literature, we call evidence any piece of information that allows us to support an argument or idea, or that allows us to get to a conclusion or inference. Here, we are looking for evidence that allows for the inference that the Haida might find it acceptable behavior to play tricks on one another.
In that case, the best option is "The story presents Raven's trick against the Sky Chief in a matter-of-fact manner." The Haida do not criticize Raven's behavior. Quite the opposite, it seems quite natural to play tricks, which allows us to infer that they found it acceptable.
With the information above in mind, we can choose option A as the correct answer.
The complete question is the following:
In "The Raven and the First Men: The Beginnings of the Haida," which evidence best helps the reader infer that the Haida might find it acceptable behavior to play tricks on one another?
The story presents Raven's trick against the Sky Chief in a matter-of-fact manner. The story presents Raven's trick against the Sky Chief in a sarcastic manner. The story presents Raven's trick against the Sky Chief in an over-the-top manner. The story presents Raven's trick against the Sky Chief in a humorous manner.Learn more about evidence here:
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the railway and road into new york city between west egg and the city passes through an ugly section of land. what is the prominent color and substance which fitzgerald writes about in the opening paragraph?
Answers
In the opening paragraph of the novel, the prominent color and substance which Fitzgerald writes about is "valleys of ashes". The "valleys of ashes" are described as being "a fantastic farm where ashes grow like wheat into ridges and hills and grotesque gardens".
This passage is meant to set the tone for the novel and convey the idea that the road and railway between West Egg and New York City passes through a wasteland and a dismal environment. The term "valleys of ashes" refers to the grey and desolate areas of industrialised cities, where the smoke and smog from factories and other industrial activities have rendered the air and land unfit for human habitation. The term was popularised by the novel The Great Gatsby by F. Scott Fitzgerald, where it is used to describe the area north of New York City. The valleys of ashes were a result of coal-burning factories and the lack of proper regulations and emissions control. The term "valleys of ashes" has come to symbolise the devastating effects of unchecked industrialisation and profit-driven capitalism. It also serves as a reminder of the need for sustainable development, environmental protection, and fair regulations to ensure that the environment is not sacrificed for the sake of profit. It is a reminder that humans have the ability to shape the environment, and that the choices we make now can have lasting consequences for future generations.
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PLZ HELP! Will mark brainliest! Thank you :)
Answers
Answer:
its either 1 or 2
Explanation:
Read the following bolded compound sentence.
I lived for these trips, for he would often take me with him.
How can you take away the comma and the word for and still have a compound sentence? PRO TIP:
Use a semi-colon. Write your answer below, You will need to ensure that the new variety of the
sentence sentences begin with a capital letter, has a semi-colon, and includes an end mark.
Answers
The way the sentence would have to be rewritten would be: I lived for these trips; he would often take me with him.
What is a compound statement?A compound statement is a sentence that contains two or more independent clauses joined together. Independent clauses are complete sentences that can stand alone and make sense on their own.
A compound statement is formed by connecting the independent clauses with a coordinating conjunction (for, and, nor, but, or, yet, so) or a semi-colon. A compound statement is a type of complex sentence, as it combines two or more ideas into one sentence.
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write a poem from the book "great gatsby" with 5 literary devices and specific examples
Answers
Answer:
Explanation:
Metaphor:-
In the realm of Gatsby's tale, secrets abide,
Dreams intertwined, with secrets to hide.
A green light shimmers, symbolic and deep,
Metaphor of longing, that one cannot keep.
Personification:-
Personified, the valley of ashes looms,
A wasteland of sorrow, where hope consumes.
"A fantastic farm where ashes grow like wheat,"
Personified anguish, the pain complete.
Alliteration:-
Daisy's voice, a delicate refrain,
Alliteration whispers, a sweet champagne.
"Her voice is full of money," we're told,
Alliterative allure, worth more than gold.
Foreshadowing:-
Eckleburg's eyes, an omen divine,
Foretelling the fates, like a sacred sign.
"God sees everything," the words proclaim,
Foreshadowing the truth, in the silent frame.
Symbolism:-
Gatsby's parties, symbols ablaze,
Extravagant displays, a longing's craze.
"The lights grow brighter," a symbolic sway,
Beneath the façade, emptiness holds its say.
In Fitzgerald's tapestry, a story unfurled, A mix of devices, a literary world.
With metaphors, personifications, they intertwine,
Great Gatsby's realm, in poetic design.
Hope it helps!! :))
what advantages does the orator have over the writer, in hitler's assessment? is he convincing on this point?
Answers
In Hitler's assessment, the orator has several advantages over the writer. Some of the advantages that the orator has over the writer.
According to Hitler, are as follows:The orator can make an emotional appeal to the audience by utilizing their voice, tone, and body language to enhance the effect of the speech.The orator can adjust the tempo of their speech to suit the audience's mood and emotions.
The orator can engage with the audience on a personal level by addressing them directly.The orator can adapt their message to the audience's level of comprehension, allowing them to explain complex topics in a more understandable manner.The orator can employ humor, sarcasm, and other rhetorical devices to increase the audience's attention and interest.
Overall, Hitler felt that the orator was far more persuasive and effective than the writer. Hitler believed that the orator's ability to communicate with the audience on an emotional level was the key to their success and that a good orator could sway the audience's opinions and beliefs with ease. Therefore, it can be concluded that Hitler was very convincing on this point.
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Which character provides Shelley an opportunity to express her point of view about religious institutions in Chapter 8 Frankenstein
Elizabeth
Justine
Emest
Victor
Answers
Answer:
Emest answer is correct
Answer:
Ernest would be the correct answer
Hope this helps =)
Situation: It is time to switch out the Fleet of 100 cars. There are many considerations regarding what type of cars the agency should seek. Should we purchase the cars? Should we lease the cars? Should we get all electric cars-gas-hybrid or a combination? As Operations Supervisor your job is to do the appropriate research gather all the facts then make a recommendation to the agency.
Task: Please prepare an official memo to the agency Director providing your recommendation for how the agency should proceed. For purposes of this exercise, you can make up the numbers and any related details.
Answers
To: Agency Director Subject: Recommendation for Fleet Replacement Dear Sir/Madam,I am writing this memo to provide my recommendations regarding the replacement of the existing fleet of 100 cars. Our agency needs to consider several aspects while selecting a new fleet such as whether to purchase, lease or combine all-electric cars with hybrid cars or gas cars, and so on.
So, I have thoroughly researched these aspects and come up with the following conclusion.
Based on my research, I suggest that the agency should lease the cars rather than purchasing them. This will not only save the initial cost of purchasing but also the repair and maintenance costs. Furthermore, leasing provides an opportunity to upgrade the cars regularly, which is crucial to providing reliable transportation. Regarding the type of cars, I recommend going with a combination of all-electric cars and hybrid cars. The all-electric cars will help us save money on fuel, while the hybrid cars will provide us the flexibility to travel long distances.
To conclude, I recommend that the agency should lease a combination of all-electric and hybrid cars for the fleet replacement. This decision will help us save on the initial costs of purchasing new cars, repair, and maintenance costs, and improve the reliability of transportation. Moreover, the combination of all-electric and hybrid cars will provide us with both flexibility and cost savings.
Sincerely,
Operations Supervisor
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the thesis statement is a general statement that summarizes the main idea and the purpose of the research paper. true false
Answers
This given statement- ' thesis statement is a general statement that summarizes the main idea and the purpose of the research paper' is true. A thesis statement is a sentence or two in the beginning of an essay, research paper, or dissertation that summarizes the main point or purpose of the research.
It communicates to the reader the importance of your argument and your research. A thesis statement conveys your primary argument in a clear, precise way. It should present the subject of your research and the position you intend to take on it. It should also inform the reader about what you intend to do with that position.
A thesis statement must be a declarative statement that cannot be a question. The thesis statement is typically placed at the end of the first paragraph. A thesis statement is essential to a research paper because it provides direction and guides the reader through your argument.
Additionally, your thesis statement should inform your reader what your paper is about and help guide your writing.
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13. Explain what
the prompt is
asking you to do
in your own
words.
(Paraphrase)
Answers
How do you determine the literal meaning of a word?
Answers
Answer:
Look Below!
Explanation:
1) Find the different types of definitions
2) Then look at your question you are answering and find one that matches the text
3) You can check this be seeing if the definition makes sense in your answer
1.) Read your co-worker's comments: "Thanks so much for your help! I really need to get this done by tomorrow. The most important information is coming from Jim; he's going to talk to you at 3PM." * A. No problem. Should I have this done for you in a few days? B. Is there any other information I need after I speak to Jim? C. Great. I should be able to have this done by 2PM, is that okay? D. Is this time-sensitive? E. Do you know what time I will be meeting Jim?
Answers
Answer:
D. Is this time-sensitive?
Explanation:
The option selected in the question above shows that you have correctly understood your co-worker’s comment and are willing to help.
Your co-worker will need the work done the next day, so you won't be able to spend days finishing, as you should finish it right away. You also already know that Jim will give you the most important information on the job, so you won't need any additional information. You also know the time when Jim will call. In this case, your only concern is with the work delivery schedule and for that reason, you should ask questions related to that.
why it matters to law enforcement to protect human rights and what interests is about it
how it connects to freedom ?
Answers
Answer:
Law enforcement plays a critical role in protecting human rights, as they are responsible for upholding and enforcing the law. Human rights are fundamental rights and freedoms that every person is entitled to, regardless of their race, ethnicity, gender, religion, or any other characteristic. Law enforcement agencies are tasked with protecting these rights and ensuring that they are not violated, whether by private individuals or by the state itself.
Protecting human rights is not only a moral imperative, but it is also in the interest of law enforcement. By upholding human rights, law enforcement can help to build trust and confidence with the communities they serve. This is particularly important in cases where law enforcement may need the cooperation and support of the community to effectively carry out their duties.
Moreover, respecting human rights is essential to preserving the rule of law and maintaining a free and democratic society. Freedom is intimately connected to human rights, as many of our most basic freedoms, such as freedom of speech, religion, and assembly, are enshrined in international human rights law. When law enforcement respects human rights, they help to protect these freedoms and ensure that they are not infringed upon.
In short, law enforcement agencies must protect human rights because it is both a moral imperative and in their best interests. Protecting human rights helps to build trust and confidence with the community, maintain the rule of law, and safeguard our most basic freedoms.
Explanation:
Explain why enumeration is an effective organizational pattern for the bill of rights
Answers
Answer:
Topical enumeration is an effective organizational pattern for the bill of rights
The tropical pattern is the most generally accepted arrangement, and decree typically works when the other models do not. A topical pattern organizes knowledge according to various sub-topics in a more comprehensive material, or the "types" of things that happen inside a larger level.
Which quote from the text best supports the answer to Part A?
Answers
Answer:
d
Explanation:
"Technology is a useful servant but a dangerous master.”
Christian Lous Lange, Historian
1. Write your reflection (2 or 3 sentences)
Answers
Armed with limitless access to contemporary destructors and a military mindset, the autonomous state's weaponry pose a threat to both the state and to others.
What is the meaning of being a servant?A servant is a professional who is hired to perform domestic duties, such as cleaning or gardening, at the residence of another person. a big Victorian household with several servants. The word "servant" can be used to describe someone or anything that helps others or that they can use.
What is the rule of servant?According to the master-servant rule, employers are accountable for the conduct of their employees. It applies to all acts an employee makes while working for an employer that fall inside the purview of such obligations.
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