prove that for all integers n, it is the case that n is even if an only if 3n is even. that is, prove both implications: if n is even, then 3n is even, and if 3n is even, then n is even. discrete math
If n is even, then 3n is even, and if 3n is even, then n is even.Ifn is even, it means that we can find k integer
such that n = 2* k. Then n+1=2*k+1 is odd.
3n+1=6k+1=2"(3k)+1 where 3k is an integer so 3n+1
is odd.
3n =2*(3k) is even.
Besides, if n+1 is odd we can find an integer p so
that n+1-2p+1 so n = 2p is even.
3n+1 is odd means that we can find an integer
q such that 3n+1=2q+1 so 3n=2q as 3 is not
dividable by 2, it means that n is a multiple of 2,
then n is even.
3n is even means that we can write 3n = 22 where
z is an integer and again it means that n is a
multiple of 2 and then n is even.
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Which sentence from wonder is most likely inspired by these song lyrics? here's what i think: the only reason i'm not ordinary is that no one else sees me that way. But i'm kind of used to how i look by now. She says she does, but if i were ordinary, she wouldn't feel like she needs to protect me as much. I'm much stronger now, though.
Answer:
yes
Explanation:
in his persuasive speech about why people should buy used instead of new cars, austyn provided the audience with convincing information because of his knowledge and experience as a used car salesperson. austyn employed which type of appeal?
The type of appeal John employed is "ethos" refers to ethical appeal, and word ethic is derive from ethos.
Ethos is a Greek word which listening to him by presenting the interesting points about his knowledge and experience. By using ethos, an individual or presenter knows what to present or in which things audience are interested.
Ethos appeals to the writer's personality. Ethos may also be defined as the writer's involvement in the argument and the credibility of his or her argument. Pathos appeals to emotions, the sympathetic imagination, and beliefs and ideals.
Ethos is a Greek term that signifies temperament as well as character. It is when we use a person's 'character' (such as a celebrity or expert) to change the audience's frame of mind, demonstrating to them that the advertiser is trustworthy and ethical.
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Although we are far away from each other, we still.....
A. keep on
B. keep up
C. keep in touch
D. keep together
Answer:
it would be answer (C)
Explanation:
What should I call my ex-best friend? I want to at least be people we know and can sometimes talk to without being friends, since she doesn't want to anymore, but I can't lose her, I love her way too much, and need to know. What should I do? Please give me a word that kinda means acquaintances, but at the same time also mean no ex friend, and it be a real word
Answer:
old pal, companion, buddy, playmate, compadre, workmate, playmate, comrade, associate, ally, crony, colleague, a casual friend.
Explanation:
You may just have to let them go and move on. You can find new friends. Hang in there.
What happens to the speeding ticket that the police officer gave the narrator? in the book hitchhiker
What happened to the speeding ticket the police officer gave the narrator? The hitchhiker snuck it out of his pocket and later he and the narrator burned the ticket.
What character traits does Odysseus have to help him survive the adventure recounted in
the excerpt from The Odyssey: Book XII? What does the final paragraph of the excerpt
reveal about the plot, and how does Odysseus's character lead to this plot outcome? Cite
textual evidence to support your response.
Odysseus possesses the qualities that make a Homeric leader stand out: power, bravery, nobility, a desire for glory, and security in his position of command.
Who is Character?Character is made up of acquired actions, whereas personality mostly relies on inherent features. Parents, acquaintances, and circumstances teach children personality in the kind of "rules" for appropriate behavior.
Returning to Aeaea, Odysseus buries Elpenor and spends one final session with Circe. She explains the challenges he'll encounter on the way home and shows him well how to overcome them. Odysseus relays Circe's advice to his sailors as he sailed away.
He is a valiant and fearless epic hero. Odysseus exhibits the traits of an act of bravery, including being a powerful warrior, a brave leader, a convincing speaker, one who fights their own conflicts, and having a large following, as he devises the plot to listen towards the Siren Song.
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choose one word from the following diagnostic statement that identifies the main term: dermatitis due to allergy
Congestive heart failure, often known as CHF, is a chronic ailment that worsens with time and impairs your heart's ability to pump blood due to allergy Coronary artery disease is the most frequent cause of congestive heart failure.
High blood triglyceride and/or cholesterol levels are risk factors for coronary heart disease. elevated blood pressure.Congestive heart failure is another name for heart failure. When the heart muscle isn't pumping blood as efficiently as it should, it happens. Shortness of breath is frequently brought on by this because blood frequently backs.
Fluid can accumulate in the lungs.This type of allergy can be brought on by a number of common causes, such as certain soaps, cosmetics, scents, jewellery, and poison.This particular rash might be painful. Additionally, there may be a red rash, blisters, fissures, hives, peeling, or ulcers on the skin. Additionally, the individual frequently itch and swell.
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a secured creditor is one who: group of answer choices is insured by the fslic does not use collateral to obtain a loan is insured by a third party does not use security to obtain a loan an take a debtor's property to try to satisfy the debt
Secured creditors are creditors who hold a lien on their debtor's property, whether that property is real estate or personal property.
The lien gives the secured creditor a right to the property of its debtor which provides for the sale of the property to settle the debt in the event of default.
A creditor whose debt is "secured" has the legal right to take the property in full or partial satisfaction of the debt. For example, most households are encumbered with “secured debt”. This means that the lender has the right to repossess the house if the borrower fails to make the payments on the loan.
A secured creditor is — at the most basic level — a creditor who has lent assets backed by collateral. In bankruptcy cases, being a secured creditor comes with many privileges that are not reserved for large general unwashed unsecured creditors.
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Read the excerpt from act ii of hamlet. he tells me, my sweet queen, that he hath found the head and source of all your son’s distemper. the figurative language in these lines is an example of a metaphor and an allusion. a simile. an apostrophe. personification.
The figurative language in these lines is an example of a metaphor. The correct is option(a).
Figurative language refers to the use of dispute in a habit that deviates from the conventional order and message in consideration of sending a difficult aim, colorful article, clearness, or suggestive corresponding. It uses a common sentence to refer to an entity outside straightforwardly asserting it.
5 types of Figurative language accompanying models
1 Simile.
2 Metaphor.
3 Personification.
4 Hyperbole.
5 Allusion.
A metaphor is a turn of expression that, for rhetorical effect, straightforwardly refers to an individual point by mentioning another. Metaphors are in addition ploys; they're central to by means of what we appreciate in the realm. Their forbiddance resides solely in dialect, but help us to reason and believe what's about us.
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which choice best describes the author's purpose in writing this passage? a. to persuade the audience that year-round schooling is beneficial b. to entertain the reader with the history of summer vacations c. to explain the concept of year-round schooling to the reader d. to inform the reader that year-round schooling is not necessary
The purpose of an author in the passage is-e)To challenge a misconception about the value of studying grammar. So, correct option is e.
Understanding cognizance, or understanding your perusing, comes from distinguishing and concentrating on key components of a text, like the creator's motivation. The writer's motivation is the explanation or inspiration for composing a text. For what reason does the reason matter? Information on the writer's motivation permits perusers to answer the text and to match fitting texts to explicit requirements.
The writer's motivation is their goal (or reason) for composing something. To either convince, illuminate or engage a crowd of people. You will most normally see these three angles credited similar to the creator's motivation be that as it may, different components, for example, portraying and making sense of are likewise usually located.
The reason for a Creator can be distinguished in the topic of the story or text. Normally, the reason for a creator might be to:
Impart a messageExpress themselvesSend a warningEncourage the crowdHence, correct option is E.
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(Complete question) is:
which choice best describes the author's purpose in writing this passage? a. to persuade the audience that year-round schooling is beneficial b. to entertain the reader with the history of summer vacations c. to explain the concept of year-round schooling to the reader d. to inform the reader that year-round schooling is not necessary e.to challenge a misconception about the value of studying grammar.
I helped Mom put up our tent while Dad cooked dinner over the __________.
I helped Mom put up our tent while Dad cooked dinner over the grill.
Explanation:Find Keywords:1. TENT
2. OVER
Tent indicates they are outside.
Cooking dinner OVER means grill because you don't use a stove outside.
Solution:
Grill
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Please select the word from the list that best fits the definition mix of multiple roles.
The word that best fits the definition - mix of multiple roles is Role set.
A person's position in society gives rise to a variety of roles and connections, which are described by a role set. The acts, responsibilities, rights, norms, and beliefs that people actualize in social circumstances can be grouped into a role set.
American sociologist Robert K. Merton coined the term "role set" in 1957 while writing for the British sociology journal. He described a sociological role set as a person's way of projecting their social status to the outer world.
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"Kiche!" the man cried again, this time with sharpness and authority.
And then the cub saw his mother, the she-wolf, the fearless one, crouching down till her belly touched the ground, whimpering, wagging her tail, making peace signs. The cub could not understand. He was appalled. The awe of man rushed over him again. His instinct had been true. His mother verified it. She, too, rendered submission to the man-animals.
Which best states the perspective of White Fang’s mother in the excerpt?
When it comes to White Fang's mother, the option with her perspective is "She is confused about how she should act in front of the man," third answer choice.
What is the mother doing?In the passage provided in the prompt, we see White Fang's mother acting in a submissive way in front of the man. That could lead us to choose the wrong answer choice, had we no knowledge of what happens in the passage that comes before it.
When we read the novel, we see that White Fang's mother first reacts to the man's presence with anger. She feels threatened and, in trying to protect her cub, she snarls at the man. However, when the man acts with confidence, she becomes confused as to what she should do. That is when she behaves submissively.
Therefore, we can the third answer choice as the correct option for this question.
The missing answer choices are the following:
She is preparing to attack the man to show her authority. She is puzzled by her cub's actions in front of the man. She is confused about how she should act in front of the man. She is hoping to please the man by showing her obedience.Learn more about White Fang here:
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The main focus of the film was a young woman, who at the beginning of the movie was ............. singing, with an open music book in her lap.
Explanation:
the woman
this is because she's the main character
The complete sentence is - "The main focus of the film was a young woman, who at the beginning of the movie was seen singing, with an open music book in her lap." Thus, option C is correct.
What is film?A film, often known as a "movie" or a "motion picture," is a tale told through a succession of moving images projected on a screen, generally with sound. Some individuals want to watch new movies in theaters as soon as they come out. You may claim to like French films while secretly favoring cartoon movies.
In grammar, the verb sing can be: sing, sang, sung, singing or sings. This is a total of 5 forms. Seen is the past participle form of the perfect verb tenses, as in She has seen, every film in the series is in present perfect tense.
"The major focus of the film was a young woman, who at the beginning of the film was seen singing, with an open music book on her lap," says the whole text. As a result, option C is correct.
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Your question was incomplete, probably the complete question was....
a) posed b) represented c) seen d) etched
what does the author believes in the seventh man
Answer:
Explanation:
Turning away from one's fears and hoping that one will forget about it or suddenly be unafraid anymore will not solve the problem. To be rid of the fear, one has to face it and defeat it at its roots in order to crush it completely, which is exactly what the seventh man did in the end.
I was only able to find the main idea of seventh man! Hope it helps :)
Answer:
To peace with his constant blame and grief and also eliminates his fear of the ocean.
according to lines 23-28 ("in the vegetable clothing...
contemplative mind"), hunt's primary point about
organic life is that it
(a) offers immense variety fb fcatures the cocxistence of humans and animals
(c) is systematically arranged di deserves poctic interpretation
e) can only be understood through meditation
Offers immense variety fb fcatures the cocxistence of humans and animals.
What is organic life?Things that are natural or connected to nature are referred to as organic. Organic is frequently used to denote "healthy" or "close to nature." It can also refer to food produced without using synthetic fertilizers or pesticides. In other contexts, the term "organic" refers to either live creatures or products derived from them.
without use synthetic chemicals in the development or care of plants or animals for food or other purposes: Grapes farmed organically are used to make the wine. The farms are organic.
occurring or evolving organically over time, without human intervention or planning: Our rules are natural. They alter as conditions do.
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Which of the following lines
best represents the romantic
nature of King Arthur?
A. "What, is this Arthur's hall, and these the
knights whose renown hath run through
many realms?
B. Now if the knights had been astounded
at the first, yet stiller were they all
C. "Nay," quoth the stranger, " so help me
He that sitteth on high,
D. Arthur beheld his adventurer...and
knightly he greeted him, for fearful was he
never.
Arthur beheld his adventurer and knightly he greeted him, for fearful was he never best represents the romantic nature of King Arthur. Thus, option D is correct.
What is a romantic poet?Romantic poets saw nature as being some kind of sort of living, breathing response to their demands for nature that bear their thoughts and resolve conflict. widely. Romantic poets admire the natural world and delight in all of its facets.
Because he was afraid, Arthur embraced him in a knighthood manner. This action best reflects King Arthur's romantic temperament. The King Arthur movie is categorized as a romance.
By describing a hero's exploits and all the challenges and consciousness that are associated with things, King Arthur illustrates all the fundamental components of a romance. Each medieval story must contain a hero in order to qualify as a romance, in accordance with the definition.
Therefore, option D is the correct option.
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Answer: Arthur beheld his adventurer… and knightly he greeted him, for fearful was he never
Explanation: (Acellus)
I need help on this pls and thank you
Answer:
do not ask me to answer
Why do you think the author chose to use the words prime time in the title?
listen to exam instructions you maintain the network for an industrial manufacturing company. you're concerned about the dust in the area getting into server components and affecting network availability. which of the following should you implement?
The network of a manufacturing company is maintained. In this case, the dust in the area is compromising the network's availability by contaminating server components. A Positive Pressure System must be put in place.
By forcing air out of the building through windows, doors, and other openings, positive pressure systems safeguard the facility's air quality.
Air that may contain airborne contaminants like dust, smoke from fires, or pollution from chemical leaks is drawn into systems with negative pressure. Positive pressure systems consume less energy.
Line conditioners, sometimes known as power conditioners, are used to improve the quality of power by performing one or more of the following.
Eliminating electromagnetic interference (EMI)-related noise and radio frequency interference (RFI) while supplying a little amount of additional electricity to prevent power outages or sags preventing peaks and surgesMost UPS systems have line conditioners as standard equipment.To know more about Power, refer to this link:
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In chapter 17 of To Kill A Mocking Bird, what claims can you make about the Ewell property?
Claims discover that these are five kids and a father who is perpetually inebriated. They live in extreme poverty, and their father beats them. He particularly often assaults Mayella.
To Kill a Mockingbird explores how good versus bad may live inside a large community or human while also being a supposed-to-come tale for a young girl and a more somber drama about just the causes and effects of racism and bias.
The first two people were questioned during Tom Robinson's trial. Sheriff Heck Tate is the very first eyewitness to be summoned. He is asked by the opposition to describe what happened on November 21st night. He claims that Mayella's father, Bob Ewell, contacted him to ask him to visit the home.
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Read the excerpt from "Seventeen Syllables.”
"Gee,” said Rosie. Natsu, who never said much and when she said anything said it shyly, fingered the coat covetously and Haru pulled it away.
"Mine,” she said, putting it on. She minced in the aisle between the two large beds and smiled happily. "Let’s see how your mother likes it.”
She broke into the front room and the adult conversation and went to stand in front of Rosie’s mother, while the rest watched from the door. Rosie’s mother was properly envious. "May I inherit it when you’re through with it?”
Haru, pleased, giggled and said yes, she could, but Natsu reminded gravely from the door, "You promised me, Haru.”
Everyone laughed but Natsu, who shamefacedly retreated into the bedroom. Haru came in laughing, taking off the coat. "We were only kidding, Natsu,” she said. "Here, you try it on now.”
Which word best describes Haru in this excerpt?
serious
relaxed
playful
inattentive
The adjective phrase amazingly lucky modifies the word shots. An adjective phrase is a phrase with an adjective as a headword. The adjective gets a modifier (in this case an adverb: amazingly), and it modifies (describes) the noun it clings to (in this case: shots). This is the main event takes place in "The Monkey's Paw".
What is central idea of "The Monkey's Paw"?A beautiful night would mean a night where stars grace the sky and when fireworks or blinking lights intrude the darkness. Moreover, light shines brightest in darkness.
In the poem, beauty and its effect are exemplified in the way these images of darkness and light are juxtaposed. There is something absolute, pure and innocent in the deepest darkness mingled with the brightest light.
Therefore, The adjective phrase amazingly lucky modifies the word shots. An adjective phrase is a phrase with an adjective as a headword. The adjective gets a modifier (in this case an adverb: amazingly), and it modifies (describes) the noun it clings to (in this case: shots).
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Answer:b
Explanation:
Why is it important to evaluate the logic and credibility of your argument before you begin drafting a speech or essay?.
When referring to your reputation prior to speaking, you are referring to your antecedent credibility (or perform any type of activity really). Contrarily, consequent credibility refers to the credibility you gain while giving a speech or engaging in a particular activity.
Before analysing their substance, gather reliable sources for the following reasons.Time and effort are saved when reliable sources are gathered.Without a reliable source, you have to exert more effort to confirm the accuracy of the information your source provides, which adds to your workload.
Drains your energy.In order to save time, it is crucial that we first acquire or collect reliable sources before moving on to the examination of their content. Additionally, we have the ability to compare the information in various sources in order appropriately classify them according to how pertinent they are to the problem.
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how does the author use the stories of characters such as farid and his family, the beggar on the streets of kabul, and zaman, the orphanage director, to tell the reader about life in afghanistan?
The author described the life in Afghanistan is by the pillaged Kabul and different towns in a race to who can have the maximum base.
When the opponent's kite has been downed, then the actual war becomes a race, the kite run, to pressure who the fallen kite.This is symbolic to the 1992 occasion in Afghanistan whilst war . An historic novel approximately the pre-Russian invasion and rule of Afghanistan, The Kite Runner additionally exhibits lifestyles in Afghanistan below rule and lifestyles in a Afghanistan.
The Kite Runner is about in general in Afghanistan and the among the and early 2000s. The putting of Afghanistan is especially critical to the base of the novel, due to the fact the inflicted upon are reflections of the activities that take place to the primary characters.
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for it would be the dying of an unknown, a street face, a newpaper image, and it was suddenly so very wrong that he had begun to cry, not at death but at the thought of not crying at death, a silly empty man near a silly empty woman, while the hungry snake made her still more empty (bradbury 41).
Answer:
Montag - No Thinking = Lack of Humanity
Explanation: There was no question, but I assumed this would have been the answer. :) I hope this helped at least a little bit!
which inequality is true when x = 4?
-25x > 100
-25x ≥ 100
25x < 100
25x ≤ 100
Answer:
25x ≤ 100
Explanation:
divide both sides by 25
4≤4 so its true.
1. Which is one criterion a writer should use when evaluating a source?
Responses
A) its relevance
B) how realistic it is
C) how interesting it is
D) its creativity
2. When supporting a claim, which phrase describes a credible source?
Responses
A) one that can be trusted to have accurate information
B)one that includes an opposing claim
C) one that provides support for an argument
D) one that contains opinions backed by evidence
3. Which sentence describes a relevant source?
Responses
A) It contains information that can be verified by outside sources.
B) It can be trusted to be accurate.
C) It is created by a government agency or university.
D) It contains information connected to the point of an argument.
4. Why is it important to use credible sources when writing an argument?
Responses
A) to make an argument more debatable
B) to make an argument more biased
C) to make an argument more trustworthy
D) to make an argument more up to date
Answer:
b
Explanation:
B) how realistic it is
is the only one that can fix
How realistic it is, is one criterion a writer should use when evaluating a source. Thus, option (b) is correct.
What is writer?
"A writer is described as someone who writes about something, whether it is a book or a beginning. It can also be an individual's optimization as the lesson or passion that he or she adopts. It could be something from the person's life or a topic they are thinking about."
This citation for evaluating the source data indicates how realistic the data is. or it depends on how the writer tries to show it should be genuine and may include some citation or quotation. Realistic data shall be offered alongside threats and figures, as well as some form of verification.
Therefore, option 1. (c), 2. (d), 3. (d), 4. (c) is correct.
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arthur has a vision of gawain before the final battle with modred. what is the best summary of arthur's vision?
In a month, Launcelot will not help Arthur, according to Gawain. Gawain and the women he defended implore Arthur to call off the battle with Modred.
The night before the fight, Arthur has a dream in which he is chained to a wheel that plunges into a pit of ghastly creatures and snakes. That doesn't seem like a good indicator at all. And to make matters worst, in his dream Sir Gawain warns him that if he engages Mordred in combat, he will perish the next day. At the end of the day, just Mordred and his two remaining knights, Sir Lucan and Sir Bedivere, remain of his army. Sir Lucan advises Arthur not to fight Mordred, but Arthur does so and kills him.
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On the most providentially afternoon of his life, Edward purchased the winning lottery ticket from a simple, unassuming convenience store.
A. NO CHANGE
B. providence
C. providential
D. providentialistic
The adjective providential should be used instead of providentially in the above phrase. As a result, option C is correct.
What exactly is a lottery?A lottery is a sort of gambling in which numbers are selected at random to determine the winner. Some governments outright prohibit lotteries, while others support them sufficiently to host a national or state lottery. Lottery games are typically regulated to some extent by governments.
Edward bought the winning lotto ticket from a little, modest convenience store on the most fortuitous afternoon of his life.
The phrase providential refers to everything that occurs at a favorable time. It refers to something that occurs just when it is needed and is unplanned: The music drowned out the conversation. Fortunately, a neighbor was close at the moment. Therefore, it can be concluded that option C is correct.
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