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 ​

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]

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

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!!

I need help on this help please

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.​

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.

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...)​

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

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.

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.​

Which statement best evaluates the effectiveness of
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O It effectively appeals to emotion and nationalism
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trends that support the empire.
It ineffectively uses logical evidence because it is
not clear whether the immigration patterns verifiably
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O It effectively uses anecdotal evidence to verify the
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O It ineffectively uses anecdotal evidence because it
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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
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5. Is the title effective, in your opinion? Explain, giving good reason.​

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

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supplicating
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B. lice
C. plies

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A. Simple
B. Compound
O C. Complex
D. Compound-Complex
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a) Define phrase
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a:Their and they're
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In this argument in favor of recycling, which sentence introduces the counterargument?
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Marks: 1
"Pepperoni pizza is my favorite
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Poem task help complete

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

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

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-
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3. He is all heartbroken-
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4. The pigeons fountained into the air-
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5. Her hair was bone white-
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6. He tried to help but his legs were wax-
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Need help with the answer please

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

Answer this question PLZ

what is the meaning of the word Inconsistent​

Please help

I'm not sure!

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