(Just A Fun Riddle)

There are 1 million closed school lockers in a row, labeled 1 through 1,000,000. You first go through and flip every locker open. Then you go through and flip every other locker (locker 2, 4, 6, etc...). When you're done, all the even-numbered lockers are closed.

You then go through and flip every third locker (3, 6, 9, etc...). "Flipping" mean you open it if it's closed, and close it if it's open. For example, as you go through this time, you close locker 3 (because it was still open after the previous run through), but you open locker 6, since you had closed it in the previous run through.

Then you go through and flip every fourth locker (4, 8, 12, etc...), then every fifth locker (5, 10, 15, etc...), then every sixth locker (6, 12, 18, etc...) and so on.

At the end, you're going through and flipping every 999,998th locker (which is just locker 999,998), then every 999,999th locker (which is just locker 999,999), and finally, every 1,000,000th locker (which is just locker 1,000,000).

At the end of this, is locker 1,000,000 open or closed​

Answers

Answer 1

Answer:

Locker 1,000,000 will be open.

Explanation:

If you think about it, the number of times that each locker is flipped is equal to the number of factors it has. For example, locker 12 has factors 1, 2, 3, 4, 6, and 12, and will thus be flipped 6 times (it will end be flipped when you flip every one, every 2nd, every 3rd, every 4th, every 6th, and every 12th locker). It will end up closed, since flipping an even number of times will return it to its starting position. You can see that if a locker number has an even number of factors, it will end up closed. If it has an odd number of factors, it will end up open.

As it turns out, the only types of numbers that have an odd number of factors are squares. This is because factors come in pairs, and for squares, one of those pairs is the square root, which is duplicated and thus doesn't count twice as a factor. For example, 12's factors are 1 x 12, 2 x 6, and 3 x 4 (6 total factors). On the other hand, 16's factors are 1 x 16, 2 x 8, and 4 x 4 (5 total factors).

So lockers 1, 4, 9, 16, 25, etc... will all be open. Since 1,000,000 is a square number (1000 x 1000), it will be open as well.

Brainliest?


Related Questions

What is the bibliography of an MLA formatted research paper called?

Answers

Answer:

Works Cited page

Explanation:

why would you donate to a breast cancer charity?

Answers

Answer:

yes

Explanation:

because it a important thing and i would like to help

. In the story ‘The Story of an Hour’, do you think that the doctor’s statement that
Louise Mallard died of joy is a valid and justifiable one? Give reasons for your answer

Answers

Answer: No, the ending of the story is not a valid and justifiable one. The story ends with the doctor's verdict of Louise Mallard's cause of death – she died of joy. ... After she gets the news of her husband's death in a railroad disaster, she is devastated.

Explanation:

I’m smart plz give brainlest

pls help i will give brainliest

Answers

Answer: I think b I’m not sure tho

Explanation:

Answer:

gigantic

Explanation:

it states that the turtle was as big as a car and its head was the size of a football

Choose the sentence with the proper punctuation and capitalization.

the boys went to the park to play basketball soccer tennis and football

Answers

Answer:

The boys went to the park to play basketball, soccer, tennis, and football.

Explanation:

Answer:

The boys went to the park to play Basketball, tennis, soccer, and football.

Explanation:

FIRST TO ANSWER GETS BRAINLIEST!!
Kennedy-Nixon Debate

Overall, which debater has a more successful or convincing argument? Use details from their statements to support your opinion.

Answers

Answer:

In my opinion, the debate that was more powerful and stronger was Nixons. He gave valid and strong sentences.

Explanation:

What is the purpose of an ellipsis?
A) to indicate text has been omitted
B) to make the reader think about a point
C) to end sentence powerfully
D) to emphasize a specific fact​

Answers

Answer:

Usually either B or C. Can be A if it's used during quotes. [see explanation - question contains nuance]

Explanation:

Honestly, it depends. Usually, an ellipsis is used in speech to show that the character is thinking and drifting off. If it's in a non-fiction formal piece of persuasive writing, then it would be B. Otherwise, if it's an essay and it's used in a quote, it's A. Usually though, it would be C.

Depends on context.

Why do the "gravediggers" try to take Elie's father? *

Answers

Answer:

this is helpful to you thanks and follow me

My brother Adam loaned me his or her car.
rewrite the sentence to make sure each pronoun agrees with its antecedent

Answers

Answer:

My brother Adam loaned me his car.

Explanation:

The second word is brother, and brother is usually associated with a male character. So the the pronoun that agrees with this sentence is his.

Sorry if this is wrong.

Bye

suppose you are MacDonald.write a reply to sandra shaw​

Answers

Answer:

I love you Sandra Shaw !

Explanation:

hello Sandra Shaw, my name is MacDonald. I am writing this to you to tell you I love you

please help ASAP! Thank you

Answers

Answer:

I don't know I'm sorry I will tell you another answer asks me to

Check all that apply.
Extended metaphors can be found in the following:

Answers

Answer:

a. poems

c. books

d. speeches

Explanation:

The above options are correct.

Extended metaphor is known to be a rhetorical device which is a version of metaphor. Metaphor is a figurative language that is used to compare two thing which are dissimilar. Extended metaphor works the same way as metaphor. It extends to multiple lines, stanzas or paragraphs of poetry and prose.

Extended metaphor is found in poems, books (literature) and speeches in order to further  explain a concept. The further explanation allows readers or listeners to adequately visualize the explained concept in terms that they already understand.

QUICK someone say something really funny . . It's my bedtime and I can't stop crying for no reason

Answers

my dog ate my cheeto crumbs

to protect your self from the ____,you need to wear ____ everytime you go out from home.When you are in a crowd observe _____and____ put some ____ in hands from time to time.Washing hands with soap and clean ____ is also advised.Drink alot of_____and have a daily____to make you fit. if nothing important, better to____at home.Remember , Coronavirus is a disease that can cause_____.Save yourself,save your_____​

Answers

Answer:

manay are if these are vongruent is not literal

30.
Which of the following instruction formats would you most likely use if you were going to write a memo to a group of employees?


A. if-then table


B. flowchart


C. paragraph


D. list

Answers

Answer:

C. paragraph

Explanation:

paragraph. Simply typed. Very very simple

paragraph is correct.  

Hope this helps.

EDGE 2021 ELA 10: LESSON: TYPES PF EVIDENCE AND LOGICAL FALLACIES
Which of the following is a fallacy of syllogism?
A. non sequitur
B. personal attack
C. division
D. argument from the negative



CORRECT ANSWER, A: NON SEQUITUR



Answers

Answer:

A.

Explanation:

A is the answer hope this helps u out can i get the best answer ?

What inference can be made about the time period of the text? It was a time of uncertainty and worry. People were more traditional than they are today. People were more patriotic than they are today. It was a time when the nation was changing. Question 2 Part B Which evidence from the text best supports the answer in Part A? “However, we know for a fact that the first flag to have 50 stars—the one we have today—was designed by a high school student.” “At that same time, the United States had only 48 states but was on the verge of accepting two more: Alaska and Hawaii.” “Outraged, Bob told his teacher that he was planning on sending his design to his member of Congress, Walter Moeller.” “Bob Heft was invited to Washington, D.C., for a ceremony during which his design was officially adopted as the new flag of the United States.”

Answers

Answer:

For K12 The answer is Part A- It was a time when the nation was changing and for part B- “At that same time, the United States had only 48 states but was on the verge of accepting two more: Alaska and Hawaii.”

Explanation:

I took the test and got 100 percent

Answer:

Pt.A.: It was a time when the nation was changing.

Pt.B.: “At that same time, the United States had only 48 states but was on the verge of accepting two more: Alaska and Hawaii.”

Explanation:

I took the test. Yw.

From Fahrenheit 451, summarize pages 1-15. In 100 words or more!!

Answers

Answer:

i cant see pages 1-15

Explanation:

where is the most likely place for a writer to add a plot twist that will surprise readers?

1. at the very end of the story, when readers think they know the conflict’s resolution.
2. in the beginning, right after the story’s conflict and characters are introduced.
3. as soon as the story’s rising action begins with characters attempting to solve the conflict.
4. in the middle, as the characters are close to resolving the conflict in the story.

Answers

Answer:

4

Explanation:

this part is also known as the climax

The middle, as the characters are close to resolving the conflict in the story. is the most likely place for a writer to add a plot twist that will surprise readers

What is conflict?

Conflicts result from conflicts of interest, viewpoints, or even philosophical concepts. The basis of conflict can be personal, racial, class, caste, political, or even international, thus it will always exist in society. Conflict is a heated argument and disagreement about a significant issue. When two parties or groups are at odds,

An argument over a course of action to be taken, such as the marketing strategy for a new product, with one's supervisor or other team members, is an example of substantive conflict.

In the days of kings and queens, storage was kept on a castle's floors while it was under siege. Various supplies, like food and weaponry, would be kept on each floor. Stories was the term used to describe the floors.

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Read this excerpt from a play.
What is the conflict of the play?
JUNE and SYLVIO speak to MR. TELLER in the
driveway of their farmhouse. It is raining hard, and they
It's raining at June and Sylvio's farmhouse.
all carry umbrellas. A dog sits on the steps of the house.
Mr. iS Teller is the owner of Lucy, the puppy.
JUNE: We didn't think you'd be coming back for the
Mr. Teller wants his dog, Lucy, back.

puppy.
Lucy was a puppy at first but is now a dog.
MR. TELLER: I said would when dropped the puppy
off.
SYLVIO: Yes, but that was months ago. We thought
you'd be back for the puppy in a couple days. Now she's
a full-grown dog. We have raised her ourselves, we built
her her own doghouse, and we love her.
MR. TELLER: But she's my dog. only dropped her off
at your house for safekeeping since I had to go out of
town on business. Now I'm back and I want my dog
back. Lol

Answers

Answer:

C) Mr. Teller want his dog, Lucy back

Explanation:

The conflict of this play is that Mr. Teller wants his puppy back. We know this because June says to Mr. Teller that they didn't think he would come to take the puppy back home. Mr. Teller says he told them he'd come back when he dropped the puppy off. 

The conflict of the play is that Mr. Teller wants his dog, Lucy, back while June and Sylvio have grown attached to her and want to keep her. Therefore, option C is correct.

What is an play?

A play is a form of literature written for the purpose of being performed on stage in front of an audience. It is a unique form of storytelling that relies heavily on dialogue, character interaction, and stage directions to convey a story.

Plays can be written in various styles and genres, including tragedy, comedy, drama, musical, and more. The characters' actions and dialogue are usually presented through scenes and acts that move the story forward.

Plays often explore various themes, such as love, power, morality, social issues, and more. The performance of a play involves a group of actors, a director, and other production personnel, who work together to bring the written work to life on stage through acting, set design, lighting, and other elements.

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i need help- LOL
Refer to the Newsela article “Opinion: From Embarrassed about Bicultural Identity to Celebrating It."

Which statements convey an accurate assessment of the author's argument that it can be difficult for a young person from one culture to live in a different, dominant culture.

Select two correct answers.


The author supports the argument by describing her daughter's positive experiences as a bicultural student.

The author provides relevant support for the argument by using personal examples.

Statistics and interviews about the effect of bicultural identity on a wider range of people would strengthen the argument.

The author's argument benefits from her anecdote about giving a talk on India at her daughter's school.

Answers

Answer:

The author provides relevant support for the argument  by using personal examples and Statistics and interviews about the effect of bicultural identity on a wider range of people would strengthen the argument.

Explanation:

i took the quiz

The statement that conveys an accurate assessment of the author's argument is B.The author provides relevant support for the argument by using personal examples

What is a Supporting Detail?

This refers to the use of evidence to show that a given claim is valid and factual through either factual or statistical evidence.

The second answer is C. Statistics and interviews about the effect of bicultural identity on a wider range of people would strengthen the argument.

Read more about supporting details here:
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as soon as the electricians finished the work, they will be paid. (start with "no sooner")​

Answers

Answer:

No sooner as the electricians are finished with their work, they will be paid.

Explanation:

2) She speaks yet she says nothing:
what of that? Her eye discourses; I
will answer it.
I am too bold, 'tis not to me she speaks

Metaphor
Simile
Personification
Repetition
Imagery

Answers

Imagery maybe not sure

What are 10 words associated with the word “legacy”

Answers

Answer:

estate.

gift.

tradition.

bequest.

birthright.

devise.

endowment.

heirloom

heritage

settlement

Answer:

Heritage, Endowment, Birthright, Provision, Heirloom, Inheritance, Tradition, Will, Bequest, and Gift.

Explanation:

Is this sentence compound or complex ? I cooked the dinner while my mom cleaned the dishes.

Answers

Answer:

Yes, that is exactly what you should tell them. If two clauses are connected with a coordinating conjunction, it's a compound sentence. If two clauses are connected with a subordinating conjunction, it's a complex sentence.

Explanation:

so yess it is a compound sentece mark branly pleaseee

Answer:

A Compound

Explanation:

There are two independent clauses (I cooked the dinner), (my mom cleaned the dishes).

PLEASE ASAP, 5 SENTENCES

1. They won't lend you a car if you don't leave the deposit.
They won't lend you a car unless .........................
2. I'm waiting for Tom to finish his lunch.
I'm waiting until .....................
3. We will arrive in time for lunch unless the traffic is bad.
We will arrive in time for lunch if .......................
4. My sister (not answer) ....................... the phone if she is watching a film on tv.
5. Don't talk to Michael unless he (apologise) .......................... to you.

Answers

Answer:

They won't lend you a car unless you leave a deposit.

I'm waiting until Tom finishes his lunch.

We will arrive in time for lunch if traffic isn't bad.

My sister won't answer the phone if she is watching TV.

Don't talk to Michael unless he apologises to you.

Hope this helps :)

Answer:

1) unless you leave the deposit

2)until Tom finishes his lunch

3)if the trafficis not bad

4)will not

5)apologises

A thesis statement clearly states the purpose and the point of an essay. It also _____.
should be the last sentence of the introductory paragraph
cannot be proven or discussed
does not make a point about the topic
misinforms the reader on the topic of the essay

Answers

Answer:

It also should be the last sentence of the introductory paragraph.

Explanation:

The thesis provides the various parts of your essay after you have introduced your overall topic.

Ray heard his mother say something about switching to gluten-free cooking. He has no idea what this means except that it has
something to do with not eating wheat. Ray went to the library to do some research.
Which one of these would be the most credible source for Ray to choose?
ОА. .
a Web site that is run by people with severe food allergies and other food-related health problems
ОВ. .
a book by an author who has tried a number of diets, including gluten-free and no carbohydrates
OC.
a journal article that was written by someone who studied food-related health problems at Oxford University in Europe
OD.
a book on gluten-free diets by an author who has two degrees in nutrition and works at the University of Rockingham

Answers

Answer:

OD

Explanation:

OA: A web site could be useful for a quick answer but not a very accurate one. Especially since these people arent certified in food.

OB: A book sounds like a very credible place to look for answers but this book is more about personal experiences in diets and isn't certified in food.

OC: An article sounds like a very credible source but is from a person who studied food related problems, meaning that what they have studied isnt as official as an actual certified worker in food.

OD: The most credible source for Ray to choose would be a book on gluten-free diets by an author who has two degrees in nutrition and works at the University of Rockingham.

Which option best explains why narrative writers use transitions?(1 point)

to make connections to other texts

to explain the main idea of the story

to highlight important parts of the story

to create a clear flow of ideas in a story

Answers

to make connections to other texts

The option that best explains why narrative writers use transitions is "to create a clear flow of ideas in a story."

What are transitions?

Transitions are words, phrases, or sentences that connect ideas or paragraphs within a piece of writing. They serve as a bridge between different ideas, helping to create a smooth and logical flow of thoughts.

Transitions can signal a shift in time, location, or perspective, and can also indicate the relationship between ideas, such as cause and effect, comparison, or contrast.

Examples of transition words include "however," "meanwhile," "consequently," and "similarly." The use of transitions is an important aspect of effective writing, as they help readers to follow the writer's train of thought and understand how different ideas relate to one another.

Learn more about transitions, here:

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What does the author want to convince American consumers to do?

A. to boycott companies that underpay their workers


B. to send money to Chinese factory workers

C. to accept a small increase in the cost of electronics

D. to help the workers by buying more electronics

Answers

What the name or title of the thing to answer the question

The United Farmworkers started the strike association, against table grape growers in Delano, California to battle the double-dealing of homestead workers.

For what reason did Americans blacklist grapes?

The recently coordinated farmworkers, drove by Mexican and American common liberties activist Cesar Chavez, have approached Americans to strike over the famous California organic product.

It is because of low wages and unfortunate working conditions farming workers are compelled to endure.

The Delano grape strike was a strike coordinated by the Agricultural Workers Organizing Committee , an AFL-CIO-sponsored worker's organization, against table grape growers in Delano, California to battle the abuse of farmworkers.

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