the first term of A.P is 5 and the last term is 45 and the sum of all term is 400. find the number of terms and the Common difference.
help me plz ​

Answers

Answer 1

Answer:

[tex]n =16[/tex] --- Number of terms

[tex]d = \frac{8}{3}[/tex] --- Common difference

Explanation:

Given

[tex]a = 5[/tex] --- first term

[tex]T_n = 45[/tex]

[tex]S_n = 400[/tex]

Required

Determine the number of terms (n) and the common difference (d)

The sum of n terms of an AP is:

[tex]S_n = \frac{n}{2}(a + T_n)[/tex]

This gives:

[tex]400 = \frac{n}{2}(5 + 45)[/tex]

[tex]400 = \frac{n}{2} * 50[/tex]

[tex]400 = n * 25[/tex]

Divide both sides by 25

[tex]16 = n[/tex]

[tex]n =16[/tex]

The nth term of an AP is:

[tex]T_n = a + (n - 1)d[/tex]

This gives:

[tex]45 = 5 + (16 - 1) * d[/tex]

[tex]45 = 5 + 15 * d[/tex]

Subtract 5 from both sides

[tex]45 - 5= 5 - 5 + 15 * d[/tex]

[tex]40= 15 * d[/tex]

Divide both sides by 15

[tex]\frac{40}{15} = d[/tex]

[tex]\frac{8}{3} = d[/tex]

[tex]d = \frac{8}{3}[/tex]


Related Questions

Which answer shares a word part
with the following word?
supplicating
A. supply
B. lice
C. plies

Answers

Answer:

supply

Explanation:

B is the answer lice

E. Answer the questions in your own words.
1. Why does Jade Emperor carry the sun away?
2. How does the sun's disappearance affect the forest animals?
3. How do they deal with the problem?
4. What message do you get from the fable? Does it explain more than why the
rooster crows at sunrise?
5. Is the title effective, in your opinion? Explain, giving good reason.​

Answers

Explanation:

1-The world started with wuji (無極, nothingness) according to the Chinese creation myth. The Jade Emperor was the head of the pantheon, but not responsible for creation. In another creation myth, the Jade Emperor fashioned the first humans from clay and left them to harden in the sun

2-If the sun suddenly blinked out of existence, you'd have nothing to worry about — for the first eight minutes, anyway. After that, all hell would likely break loose. Still, it wouldn't be the instantaneous end to life on Earth that you might think.

3-Jade Emperor is a title used by multiple people throughout the story. Its actual political power in the setting is unknown, but it is suggested that it was once the highest position in the Heavenly Realm.

4-A rooster crows because he has an internal clock that helps him anticipate sunrise. Like all birds, roosters sing – or crow – in a daily cycle. Almost all animals have daily cycles of activity known as circadian rhythms that roughly follow the cycle of day and night. Roosters anticipate sunrise to get a head start on their daily hunt for food and defense of territory.

5-The original holder of the title. He was a Heavenly Realm God, father of the Princes of Natak, Master of the Nine-Tails Guardian, and Leader of Nox.

plz write the chapter name also and follow me

How does the excerpt develop the theme of friendship in the story?

The author shows that when T.J. needs help, he turns to a friend he can trust.
The author shows that when T.J. needs help, he has no place to go.
The author shows that when T.J needs help, he has no more friends.
The author shows that when T.J. needs help, he can only depend on himself.

Answers

Answer:

A:The author shows that when T.J. needs help, he turns to a friend he can trust.

Explanation:

Answer:

A:The author shows that when T.J. needs help, he turns to a friend he can trust.

Explanation:

Circle the correct answer.
1 I can........on my back in the water.
A plod
B wade
C propel
D float​

Answers

Answer:

D float

Explanation:

plod is to stomp your feet

wade is to walk in water

propel is to move

Answer:

d ddddddd dddddddddddddd

How does the author of passage 2 approach describing the lives of wolves differently than the author of passage 1

Answers

Snake
The correct answer to me my phone was in my car so I’m

Propaganda becomes a problem when

A. facts are misrepresented.

B. people change their opinions.

C. it is used in politics.

D. all of the above.

Answers

Answer:

A i  think is the answer if not im super sorry.

Explanation:

B. give your own version (paraphrase) and the following essays.
1. The english language is one of the treasures we have received from our ancestors. It serves as an instrument for national understanding and bridge to good relationships. As a citizen of the united states country and steadfastly american our own language should be preserved for future generations. It is a habit of using and proud wherever we arrive. Always remember that the language symbolises our american.​

Answers

Explanation:

It serves as an instrument for national understanding and bridge to good relationships. As a citizen of the united states country and steadfastly american our own language should be preserved for future generations. It is a habit of using and proud wherever we arrive. Always remember that the language symbolises our american.

Marks: 1
"Pepperoni pizza is my favorite
food." is an example of what kind of
sentence?
o(a)
Assertive
(b)
Imperative
(C
Interrogative
(d)
Exclamatory

Answers

Answer:

(a)  Assertive.

Explanation:

An assertive sentence is a sentence that expresses an opinion, gives a statement, or expresses a feeling or incident or an event. Assertive sentences end with a period (.) and can either be a negative or positive sentence.

The given sentence "Pepperoni pizza is my favorite food" is assertive as it expresses the personal opinion or choice of the speaker.

Thus, the correct answer is option a.

Click to read "The Story of Icarus and Daedalus," by Ovid and "Musée des Beaux Arts," by W. H. Auden. Then answer the question. How is the focus on Auden's poem different than the focus of Ovid's myth?
A. Auden chooses to focus on Icarus's death, while Ovid focuses only on Icarus's life.
B. Auden focuses on the people on the shore, while Ovid focuses on Icarus and Daedalus.
C. Auden draws attention to Icarus, while Ovid only focuses on Daedalus.
D. Auden focuses on the destruction of Icarus's wings, while Ovid focuses on Icarus building his wings.​

Answers

Answer:

imma say C or B

Explanation:

if i was the question would you be my anwser ?
if i was the music would u be my dancer ?

Answers

Answer:

heyy is this a song if so could i pls have the name thx!

Explanation:

PLEASE HURRY!!!! Which topic would be most appropriate for an argumentative essay (Put your explanation)

A. Composing is a good way to turn food waste into something useful

B. Several students have proposed great ideas for improving the environment

C. Our school's recycling program is ineffective and needs to be replaced

D. The school administration simply doesn't care about saving the earth

(Please show your explanation)

Answers

Answer:

Our school's recycling program is ineffective and needs to be replaced

Explanation:

A proper argumantative topic that gives room for explanation

Answer:

C. Our school's recycling program is ineffective and needs to be replaced

Explanation:

because an argument essay goal is to get something changed option C is the only one that proposes that the idea of something needs to change

Need help with the answer please

Answers

Answer:

B- show that a good scientist can be a man or a woman

The answer is B. She dressed up as a man to gain access to the ship, that way she could prove that you did not have to be a man to do well in science!

How does paragraph 19 affect the development of the story?​ THE BRIGHT SIDE OF SADNESS

Answers

Answer:

i need to see the paragraph

Explanation:

Name: __________________                        Date: ___________
Metaphors Worksheet (Meanings Part 2)
[Animated image]
A metaphor is a figure of speech that compares two things. Often times it uses the word “is.”
Directions: For each metaphor given blow, write what you think it means.
Example A: Thoughts are a storm, unexpected
Answer: someone may have many unexpected thoughts at anytime
1. Once your heart's been broken it grows back bigger-
____________________________________________________
2. His hair is a white snowflake and his hair is a messy haystack-
____________________________________________________
3. He is all heartbroken-
____________________________________________________
4. The pigeons fountained into the air-
____________________________________________________
5. Her hair was bone white-
____________________________________________________
6. He tried to help but his legs were wax-
____________________________________________________

Answers

1. once u get heartbroken, u grow to be better
2. his hair is messy, like a snowflake
3. totally broken or mentally not ok
4. the pigeons flied gracefully into the air
5. his hair is really white
6. not sure about this

In this argument in favor of recycling, which sentence introduces the counterargument?
A-By recycling and reusing the resources we have, we can preserve what untouched natural resources we have while extending the life of the resources we are currently using.
B-Admittedly, we cannot reuse or recycle all of the materials we use in our daily lives.
C-However, this is not an “all or nothing” scenario.

Answers

The correct answer is B, it introduces the counter argument by stating "we cannot reuse or recycle all the materials we use in our daily lives."

Answer:

B

Explanation:

This starts by saying the limitations on such "Admittedly, we cannot reuse..."

Direct - indirect speech

1)Kedar said to me,"i do ky duty"

2) I said to sunita, "I am doing my duty".

3)Akash said to me, " You have done my duty".

4)Geeta said," I Have been doing my duty well".

5) Sachin said to the manager,"I paid the bill, Yesterday.


(plss plss guys give me correct and Fast answer Anyone give me correct answer i will make the Brainlist...)​

Answers

Answer:

Kedar said to me that he does his duty.I said to Sunita that I was doing my duty.Akash said to me that I did his duty.Geeta said that she had been doing her duty.Sachin said to the manager that he paid the bill, yesterday.

Explanation:

I hope it helped.

what does the author tell you about vegetables on this page.​

Answers

C is the answer vegetables are good for you

what is the meaning of the word Inconsistent​

Answers

Answer:

not staying the same throughout.

Explanation:

not staying the same

Which of the following pairs of words are synonymous?

a:Their and they're
b :Odd and strange
c: Brave and cowardly
d: Dark and stormy

Answers

Answer:

B) Odd and Strange

Explanation:

This pair of words is synonymous.

Their and they're mean two different things.

Brave and cowardly are antonyms.

Dark and stormy have different definitions.

Hope it helps!

"Odd and strange" as a pair of words are synonymous. Thus, option 'B' is the correct option.

What is a synonym?

A term, morpheme, or phrase that in a particular language has the exact same meaning as another word, morpheme, or phrase is said to be a synonym. For instance, the terms begin, start, commence, and initiate are all synonyms of one another in the English language; they are interchangeable. A sentence's ability to retain its meaning when one form is substituted for another is the traditional test for synonymy. There is just one meaning in which words are regarded as synonymous.

In contrast to synonyms with vaguely similar meanings, which also share a larger denotational or connotational sememe and hence overlap within a semantic field, synonyms with the exact same meaning share a seme or denotational sememe. The former is occasionally referred to as cognitive synonyms, whereas the latter are referred to as near-synonyms, plesionyms, or poecilonyms.

Learn more about synonyms here:

https://brainly.com/question/28598800

#SPJ6

I need help on this help please

Answers

Answer:

Question 4: Manifest Destiny

Question 5: Native American territory would be made into independent states.

Jackson urged Indians to assimilate and obey state laws. Further, he believed that he could only accommodate the desire for Indian self-rule in federal territories, which required resettlement west of the Mississippi River on federal lands.Andrew Jackson was in favor of continued westward expansion, but saw that slaveholders were trying to spread slavery.

a) Define phrase
b) List and explain the types of phrase​

Answers

Answer:

A.a small group of words standing together as a conceptual unit, typically forming a component of a clause.

B.NOUN PHRASE.

PREPOSITIONAL PHRASE.

ADJECTIVE PHRASE.

ADVERB PHRASE.

VERB PHRASE.

INFINITIVE PHRASE.

GERUND PHRASE.

PARTICIPLE PHRASE.

What type of sentence is this: Before she began climbing Mt. Everest, Nivea stretched
her legs.
A. Simple
B. Compound
O C. Complex
D. Compound-Complex
Other:

Answers

Answer:

Complex

Explanation:

It has one dependent clause and one independent clause

Hope this helps :)

plz help for these questions..I wil surely mark u as brainlist and 50 points​

Answers

1.) I saw her working patiently in the labratory.

2.) They initialy used to visit me often on sundays.

3) The cat sat on the ground, happily swishing her tail.

4.) During the meeting, he angrily responded to their queries.

5.) The accused spoke, and sat silently, throughout the trial.

6.) They were just approching the airport at that time.

7.) He drew the picture badly on the screen yesterday.

8.) In the evening, the boy gladly gave the packet to his freind, by the gate.

9.) On the previous day the students were patiently practicing the play in the hall.

10.) The workers repaired the wall, near the gate, hurriedly, two days before the inauguration.

I hope this helps! Please mark Brainliest! <3

PART B: Which detail from the text best supports the answer to Part A?
Poem resisting arrest?

Answers

Answer:

A "the right to ask its question after the page / came up flush against its face." ( Lines 2-3)

Explanation:

Read the excerpt from Chapter 4.
Anne of Green Gables

by Lucy Maud Montgomery

Matthew Cuthbert and his sister Marilla had decided to adopt a boy to help on their farm called Green Gables. When a girl, Anne, arrives, they are surprised. In this excerpt, Anne has just awoken after her first night at Green Gables.

Anne could evidently be smart to some purpose for she was down-stairs in ten minutes’ time, with her clothes neatly on, her hair brushed and braided, her face washed, and a comfortable consciousness pervading her soul that she had fulfilled all Marilla’s requirements. As a matter of fact, however, she had forgotten to turn back the bedclothes.

“I’m pretty hungry this morning,” she announced as she slipped into the chair Marilla placed for her. “The world doesn’t seem such a howling wilderness as it did last night. I’m so glad it’s a sunshiny morning. But I like rainy mornings real well, too. All sorts of mornings are interesting, don’t you think? You don’t know what’s going to happen through the day, and there’s so much scope for imagination. But I’m glad it’s not rainy today because it’s easier to be cheerful and bear up under affliction on a sunshiny day. I feel that I have a good deal to bear up under. It’s all very well to read about sorrows and imagine yourself living through them heroically, but it’s not so nice when you really come to have them, is it?”

“For pity’s sake hold your tongue,” said Marilla. “You talk entirely too much for a little girl.”

Thereupon Anne held her tongue so obediently and thoroughly that her continued silence made Marilla rather nervous, as if in the presence of something not exactly natural. Matthew also held his tongue,—but this was natural,—so that the meal was a very silent one.

As it progressed Anne became more and more abstracted, eating mechanically, with her big eyes fixed unswervingly and unseeingly on the sky outside the window. This made Marilla more nervous than ever; she had an uncomfortable feeling that while this odd child’s body might be there at the table her spirit was far away in some remote airy cloudland, borne aloft on the wings of imagination. Who would want such a child about the place?

Yet Matthew wished to keep her, of all unaccountable things! Marilla felt that he wanted it just as much this morning as he had the night before, and that he would go on wanting it. That was Matthew’s way—take a whim into his head and cling to it with the most amazing silent persistency—a persistency ten times more potent and effectual in its very silence than if he had talked it out.

When the meal was ended Anne came out of her reverie and offered to wash the dishes.

“Can you wash dishes right?” asked Marilla distrustfully.

“Pretty well. I’m better at looking after children, though. I’ve had so much experience at that. It’s such a pity you haven’t any here for me to look after.”

“I don’t feel as if I wanted any more children to look after than I’ve got at present. You’re problem enough in all conscience. What’s to be done with you I don’t know. Matthew is a most ridiculous man.”

“I think he’s lovely,” said Anne reproachfully. “He is so very sympathetic. He didn’t mind how much I talked—he seemed to like it. I felt that he was a kindred spirit as soon as ever I saw him.”

“You’re both queer enough, if that’s what you mean by kindred spirits,” said Marilla with a sniff. “Yes, you may wash the dishes. Take plenty of hot water, and be sure you dry them well. I’ve got enough to attend to this morning for I’ll have to drive over to White Sands in the afternoon and see Mrs. Spencer. You’ll come with me and we’ll settle what’s to be done with you. After you’ve finished the dishes go up-stairs and make your bed.”

Anne washed the dishes deftly enough, as Marilla who kept a sharp eye on the process, discerned. Later on she made her bed less successfully, for she had never learned the art of wrestling with a feather tick. But it was done somehow and smoothed down; and then Marilla, to get rid of her, told her she might go out-of-doors and amuse herself until dinner time.

Question 1
Part A

What is a theme of Anne of Green Gables?


Some people can find ways to stay positive under any circumstances.

It's easy to adhere to a decision once one has committed to it.

It's difficult to imagine possibilities when life has been hard.

Children should be given the opportunity to express themselves.
Question 2
Part B

Which detail from the story best supports the answer to Part A?


“‘I’m pretty hungry this morning,’ she announced as she slipped into the chair Marilla placed for her.”

“Yet Matthew wished to keep her, of all unaccountable things!”

“‘But I'm glad it’s not rainy today because it’s easier to be cheerful and bear up under affliction on a sunshiny day.’”

“Who would want such a child about the place?”



I REALLY NEED HELP WITH THIS I CAN'T FIND THE ANSWER ANYWHERE!!

Answers

Answer:  Question 1 ) Some people can find ways to stay positive under any circumstances

Question 2) “‘But I'm glad it’s not rainy today because it’s easier to be cheerful and bear up under affliction on a sunshiny day.’”

Explanation: Anne, is in indeed a kindred spirit. She's delightful and outgoing. Her loving nature and bold attitude makes her the light of the room. despite the odds she finds happiness and joy in most anything.

For question 2, Anne expresses her points of view on the mornings weather. Her babbling is actually just her being herself and voicing her own thoughts.  This point of view shows, even on a rainy morning she can still find the joy others may lack in seeing.

Hope this is helpful :)

Answer:

Answer:  Question 1 ) Some people can find ways to stay positive under any circumstances

Question 2) “‘But I'm glad it’s not rainy today because it’s easier to be cheerful and bear up under affliction on a sunshiny day.’”

Explanation:

I'm pretty sure it's correct, but I could be totally wrong. Again, sorry if I'm wrong.

Poem task help complete

Answers

Answer:

my support through rough times

my life as they help me through it

like a family member but i got to choose them

hope this helps!

Explanation:

Please help

I'm not sure!

If your answer is right, I'll give you brainlieat

Answers

Answer:

its D thank you

Explanation:

hope it helps

The correct answer to this problem is D

Which statement best evaluates the effectiveness of
the evidence in the passage?
O It effectively appeals to emotion and nationalism
with logical and anecdotal evidence of citizenship
trends that support the empire.
It ineffectively uses logical evidence because it is
not clear whether the immigration patterns verifiably
support decolonization.
O It effectively uses anecdotal evidence to verify the
immigration trends and the answer is there support the empire.
O It ineffectively uses anecdotal evidence because it
makes Canada seem powerful.

Answers

Answer:

It effectively appeals to emotion and nationalism with logical and anecdotal evidence of citizenship trends that support the empire.

Explanation:

Got it right on ed. Also,

it doesn't really make Canada seem more powerfulThe third option is out of the questionThe 2nd option may seem right but logical evidence is still evidence and is able to clear things up

Answer: It effectively appeals to emotion and nationalism with logical and anecdotal evidence of citizenship trends that support the empire.

Explanation:

:)

Answer this question PLZ

Answers

able to be consumed. (this means you can eat it)

Answer:

2

Explanation:

Have a great day

Why is the Biloxi - chitimacha - Choctaw tribe no longer able to subsist

Answers

Answer:

Since 1955, they have lost their land due to encroaching waters, climate changes, and other natural disasters. They do no have any more ammunition to hunt, trap, or fish.

Explanation:

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