FORM THREE - 2021
1. The fourth term of an AP is twice as great as the third term and the 12th term is 30. Find;
(a) The sum of the first 20 terms
(b) The common difference​

Answers

Answer 1

Answer:

See explanation

Explanation:

Fourth term = 2 * third term

a + 3d = 2(a + 2d)

a + 3d = 2a + 4d

a - 2a = 4d - 3d

- a = d

d = - a

12th term = 30

a + 11d = 30

Substitute d = -a

a + 11d = 30

a + 11(-a) = 30

a - 11a = 30

-10a = 30

a = 30/-10

a = -3

Recall,

- a = d

-(-3) = d

3 = d

Sum of the first 20 terms

S20 = n/2{2a + (n - 1)d}

= 20/2{2*-3 + (20-1)3}

= 10{-6 + (19)3)

= 10(-6 + 57)

= 10(51)

= 510

Sum of the first 20 terms = 510


Related Questions

The gorilla at the zoo, along with the chimpanzee, are allowed to play in the new fallen snow. Correct the error in subject-verb agreement in this sentence.

Answers

Answer:

When we correct the subject-verb agreement, we have:

- The gorilla at the zoo, along with the chimpanzee, is allowed to play in the new fallen snow.

Explanation:

It may seem that the subject of the original sentence is plural, but it is actually singular. The verb only refers to the gorilla. The chimpanzee is mentioned in an appositive phrase, which just adds extra information to the sentence.

If we want to use the verb "are", we should remove the appositive phrase and place "chimpanzee" in the same subject as "gorilla":

- The gorilla and the chimpanzee at the zoo are allowed to play in the new fallen snow.

However, since that is not the case, the correct sentence with the original structure is:

- The gorilla at the zoo, along with the chimpanzee, is allowed to play in the new fallen snow.

this play surprised the visitors : change the voice​

Answers

Answer:

The visitors were surprised by the play

Explanation:

The initial expression, This play surprised the visitors is expressed in active voice, her the subject, which is the visitors, acts upon the verb surprised. To change or convert into passive voice, we just ensure that the subject becube is the receiver of the action, hence changing the voice, we have "The visitors were surprised by the play"

I need help please.

Answers

Answer:

The second choice, hope this helps!

hi guys , i need a paragraph about the physical health of homeless children

help pls !!

Answers

Answer:

I gotchu

Explanation:

The physical health of homeless children is significantly worse than the physical health of homed children. Homed children typically have access to proper nourishment, clean environments, shelter from the elements, and access to doctors when the need arises. However, homeless children likely have access to none of this on the account of them likely not having the money to afford it. Thus, homeless children who suffer with malnutrition, exposure to the elements, and no access to medical treatment have significantly worse health than children that have homes.

They are much much less healthy than people like to believe, some can be very skinny and short because of how less nutrients they get

Combine the two ideas into single sentence (staying connected)

Answers

Answer:

mantenhas were important connections between seperated family members and they still are.

If I .............. (meet) you before, my life .............. (be) different now.​

Answers

If I met you before my life would be different now

Nonfiction only addresses facts and may not include opinions.

True
Or
False

Answers


trueueueueueueueueueu

How does a well-designed product make our lives easier? Give examples.

Answers

The correct answer to this open question is the following.

Although there are no options attached we can say the following.

A well-designed product makes our lives easier because it allowed us to use a product in comfort and useful way to maximize its benefits.

A well-designed product is created to be ahead of the competition and is a true mark of an innovative company.

All new ideas can be converted into products that could be marketed and sell for reasonable prices. For that to happen, smart people have to create attractive, innovative, and easy-to-use products that could be openly accepted by different segments.

For instance, different pieces of furniture that we can buy in wholesale stores such as Home Depot or Ikea. This furniture makes people's life easier.  Another example could be personal medical devices that allow people to monitor their health in a discrete way.

Express your view on how the law the citizens and community can protect and support victims of human trafficking ​

Answers

They can make groups and support people in the community who have been through human trafficking or people who are going through human trafficking right now.

She dedicates herself to her work,...?
A.doestn't B. Won't she c. Didn't she D. Isn't she

Answers

Answer:

A

Explanation:

dedicates is a verb in present simple so we use doesn't to ask a tag question

As per the given statement, the statement is in the present tense, so doesn't is the correct option.

What is work?

Work refers to the activity that involves physical or mental efforts. In simple words, it refers to the tasks that need to be undertaken.

As per the given sentence, it is in the present tense, so she dedicates herself to her work, Doesn't she?

Therefore, A is the correct option.

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the participants held....

1- the group
2- the code
3- a brainstorm
4- the life

Answers

Answer:

the group.................

i have never .....japan​

Answers

If this is fill in the blank:

I have never “been to” Japan

It seems like a cool place! :)

Answer:

I have never been to Japan

Explanation:I

In at least 150 words, discuss how Jem's character develops over the course of Part II of the book. Use at least three specific examples.

Answers

the beginning of the story, Jem is a naive, enthusiastic child with a wild imagination. He subscribes to the unflattering rumors and legends surrounding Boo Radley and proceeds to give Scout a fanciful description of their reclusive neighbor. Jem becomes fascinated with Boo Radley and creates several schemes to communicate and get a look at him. He leads a raid into the Radley yard and attempts to leave a note on his window sill using a fishing pool. Jem also spends his leisure time playing the Boo Radley game with Dill and is perplexed when he begins finding small gifts in the knothole of the Radley tree.

As the novel progresses, Jem hits puberty and begins spending more time with Dill. He excludes Scout from most of their activities and begins arguing with his sister more often. Scout mentions that Jem develops a "madden superiority" complex and ends up getting into a physical altercation with him in chapter 14.

Towards the beginning of part two, Jem begins to mature and demonstrates...

The number one ....... selling model in their shop.

most

best

high





Answer and I will give you brainiliest

Answers

Answer:

most

Explanation:

I don't want brainiliest

Match the collective nouns in column A with the objects they refer to in column B. Column B Column A EXERCISE OD cards 1. album 2. bunch 3. crew sheep, birds 4 grapes, keys photographs cattle 4. flock buns. 5. pack 6. pride sailors 7. herd pearls bees 13 fish 8. shoal 9. grove drawers 10. set trees 11. string rooms 12. chest tools 13. swarm lions 14. library books 15. suite​

Answers

Answer:

1. Album- photograph

2. Bunch- grapes, keys

3. Crew- sailors

4. Flock- sheep, birds

5. Pack- cards, buns

6. Pride- lions

7. Herd- cattle

8. Shoal- fish

9. Grove- trees

10. Set- tools

11. String- pearls

12. Chest- drawers  

13. Swarm- bees

14. Library- books

15. Suite- rooms

Explanation:

Collective nouns are names given to a collective or group of things taken as a whole. The collective names are given when the same type of things or elements are required to be referred to as a single unit.

The given nouns and their collective nouns/ names are given as below-

1. Album- photograph

2. Bunch- grapes, keys

3. Crew- sailors

4. Flock- sheep, birds

5. Pack- cards, buns

6. Pride- lions

7. Herd- cattle

8. Shoal- fish

9. Grove- trees

10. Set- tools

11. String- pearls

12. Chest- drawers  

13. Swarm- bees

14. Library- books

15. Suite- rooms

Read the following excerpt from "The Significance of the Frontier in American
History":
Behind institutions, behind constitutional forms and
modifications, lie the vital forces that call these organs into
life and shape them to meet changing conditions.
What literary device is Turner using here?
A. Anaphora
B. Alliteration
C. Metaphor
D. Simile

Answers

The literary device is Turner using here is the Anaphora. The text was the based on the significantly of the American history. Thus, option (a) is correct.

What is a literary device?

The term literary device refers to the poetic device. The literary device is the different types are the symbolism, repetition, rhyme, enjambment, consonance, meter, alliteration, imagery, and the assonance etc. The personification and the metaphor.

According to the text, it was based on American history. Turner is employing the literary device of 'anaphora.' This is because anaphora refers to the repeated of a term or phrase at the opening of consecutive sentences, and in the preceding example, the word 'behind' starts the phrase and is also returned, providing a perfect illustration of anaphora in a sentence.

As a result, the Anaphora, literary device is Turner. Therefore, option (a) is correct.

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What meaning is revealed through the narrator's
tone?
DONE
I started to clean everything up, and that was
when I noticed else something weird. In the
middle of all of that glass was a little
envelope, about the size of a wireless Internet
card. What the? I opened it up, and inside
there was a key. What the, what the? It was a
weird-looking key, obviously to something
extremely important, because it was fatter
and shorter than a normal key. I couldn't
explain it: a fat and short key, in a little
envelope, in a blue vase, on the highest shelf
in his closet.
-Extremely Loud and Incredibly Close,
Jonathan Safran Foer

Answers

Answer:

He is desperate for a link to his father.

The meaning that  is revealed through the narrator's tone in the narration He is desperate for a link to his father.

What is a narration?

Narration is the use of a written or spoken commentary to convey a story to an audience. Narration is conveyed by a narrator: a specific person, or unspecified literary voice, developed by the creator of the story to deliver information to the audience, particularly about the plot: the series of events.

Narration is a required element of all written stories (novels, short stories, poems, memoirs, etc.), presenting the story in its entirety. However, narration is merely optional in most other storytelling formats, such as films, plays, television shows, and video games, in which the story can be conveyed through other means, like dialogue between characters or visual action.

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*
2. What is an action verb's function in a sentence?
(1 Point)

Answers

Answer:

Action verbs, also called dynamic verbs, express an action whether it be physical or mental. An action verb explains what the subject of the sentence is doing or has done.

Explanation:

Action verbs, also called dynamic verbs, express an action whether it be physical or mental. An action verb explains what the subject of the sentence is doing or has done.

2. We have just received an _______for the goods we wanted.
3. Another word for “buy” is _______.
4. A bill of lading and a letter of credit are _____in foreign trade.
5. Please inform us when the cargo arrives at its _______.
6. We send a _____before making an order.
7. Our agents will ____the goods to you when they arrive.
8. It’s important to state the _____of each package on all the forms.
9. I’ve just heard that ____ charges are going up.
10. That firm is our sole ____of these components.

Answers

Answer:

2. We have just received an invoice for the goods we wanted.

3. Another word for “buy” is purchase.

4. A bill of lading and a letter of credit are documents in foreign trade.

5. Please inform us when the cargo arrives at its destination.

6. We send a proforma before making an order.

7. Our agents will forward the goods to you when they arrive.

8. It’s important to state the dimensions of each package on all the forms.

9. I’ve just heard that freight charges are going up.

10. That firm is our sole supplier of these components.

Explanation:

In the given sentences, the words required to fill the blanks are words that are used mostly in trade and commerce.

The required words or vocabularies required for the given sentences are given or filled as below-

2. We have just received an invoice for the goods we wanted.

3. Another word for “buy” is purchase.

4. A bill of lading and a letter of credit are documents in foreign trade.

5. Please inform us when the cargo arrives at its destination.

6. We send a proforma before making an order.

7. Our agents will forward the goods to you when they arrive.

8. It’s important to state the dimensions of each package on all the forms.

9. I’ve just heard that freight charges are going up.

10. That firm is our sole supplier of these components.

The student should keep away from bad people (a) Metaphor (b) Phrasal verb (c) Proverb (d) Preposition

Answers

The answer is B phrasal verb
The answer is B (phrasal verb)

Which of these lines contains an internal rhyme?

Answers

Answer:

The guests are met, the feast is set

Explanation:

recommendations and conclusions on the issue of human rights violations to peers​

Answers

Answer:

The development of robust institutions is the most important proposal I can make in terms of human rights breaches on governments and communities. Independent Courts and Commissions dealing with specific topics such as corruption and gender issues are required. The environment should allow for a free press to operate without political intervention or impediment. Citizens should have the right to freedom of expression and association. Citizens must also be well-informed and engaged on all major topics.

   To put it another way, an activist citizenry should be nurtured and supported. Transparency, open participation, peace, stability, and inclusive development are the main characteristics that drive a democratic discourse, and these approaches have a net effect of promoting them.

Explanation:

4.
Why did Colombia refuse Roosevelt’s offer of $10 million to build a Panama canal?


The people of Panama had complained to Colombia about the deal.


The people of Colombia did not want the canal built.


Colombians thought the offer was too low.


Roosevelt had not offered any annual rent.

Answers

The correct response is b

How has the phrase ""coming out"" created a ripple effect for marginalized people worldwide? Use specific details to support your response.

Answers

Answer:

LGBTQ is a mental disease change my mind

Explanation:

Read the sentence.

The exquisite old painting hanging slightly crooked over the mantelpiece commanded our attention.

Which part of the sentence is a prepositional phrase?

exquisite old painting
hanging slightly crooked
over the mantelpiece
commanded our attention

Answers

Answer:

Over the mantelpiece.

Explanation:

It tells where the painting is hanging, its position. So, this is the prepositional phrase.

The exquisite old painting hanging slightly crooked over the mantelpiece commanded our attention. In this sentence, the prepositional phrase is "over the mantelpiece". The correct option is C.

How do you identify a prepositional phrase?

A prepositional phrase has the preposition at the beginning and the object at the end. A prepositional phrase's object can be a noun, pronoun, or gerund. The woman is descending the stairs. In this sentence, the object is the stairs, and the preposition is down.

Words that come before prepositional sentences are called prepositions. A prepositional phrase is a collection of words that includes the preposition, the noun or pronoun it modifies, and any modifiers of that item. A preposition is "pre-positioned" before its object, placing it in front of it.

Thus, the ideal selection is option C.

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Humanists believe that
A. Life on earth is important in its own right.
B. Shakespeare didn't actually write the plays we think he did.
C. Love is an illusion.
D. Humans and animals existed on the same level.

Answers

Answer:

A. Life on earth is important in it's own right.

Explanation:

Have a good grades and study well sweetie

Answered by: sugaxchim

Life on earth is important in its own right.

Which prefix do you use to say something is not possible?

Answers

Answer:

impossible

the prefix is im

plz mark it as brainliest

Answer:

im

Explanation:

the prefix im carries the meaning no

Who is most likely the intended target audience? professional cooks businesses the general public children

Answers

Answer: it really depends on the product you are trying to sell if it's a toy then the target audience would be children and if it is a pot then the target audience would be professional cooks. personally I would pick children because they are easy to persuade

Explanation:

What piece of literature is it referencing?

Replace the underlined nouns with correct pronouns. . Abel is the boy who has lost his parents in a car accident.​

Answers

Answer:

with its antecedent in number. Rule: A singular pronoun must replace a singular noun; a plural pronoun must replace a plural noun.

Explanation:

hope it helps

thank you for the points

Replace the underlined nouns with correct pronouns.

He is the boy who has lost his parents in a car accident.

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A pronoun is a word that is used instead of a noun.

Some examples :- he, she, it, they, etc.

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In addition to the financial collapse of Wall Street banks and lenders in 2008 in the US, what other historical American financial disaster influences Miller's Death of a Salesman?

Answers

Answer: The Great Depression

Explanation:

In Miller's "Death of a Salesman", we follow Willy Loman who was a salesman that had dreams to be successful in his business. It came at a time when the economy was suffering however and so he suffered. This was inspired by the Great Recession of 2008 and the Great Depression of 1929.

The Great Depression was a terrible time in American history that led to millions of people being unemployed and starving. President Franklin Roosevelt did what he could he make things better but the US only recovered with the Second World War.

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