317の解き方を教えて欲しいです。 よろしくお願いいたします。

[1] n=0 (mod 3) のとき [2] n=1 (mod 3) のとき [3] n=2 (mod3) のとき n²+1=22+1=5≡2(mod3) いずれの場合もn+1=0 (mod3) とならないから, n +1は3の倍数ではない。 よって, n' +1は3の倍数ではない。 終 n"+1=0″+1=1 (mod3) n²+1=1+1=2 (mod3) 316 nは5の倍数でない整数とする。 n^-1は5の倍数であることを合同式を用 いて証明せよ。 (7.4)(17 317 次のことを合同式を利用して証明せよ。 ANGAA ere Di 4で割って3余る自然数mは,整数 α, bを用いて m=d²+62 と表すこ とができない。 □ 318nは自然数とする。 合同式を用いて,次のことを証明せよ。 (126-532nは11の倍数&bom (2) 4+1 +52-1 は 21 の倍数 325 ヒント 318αは整数,bは正の整数とすると と人間の活動 a は6の倍数である→ α=0 (modb)

英検の過去問なんですが、答えが見つからない ので答えを教えてほしいです

(2) (1) A: Mom, I met a ( B: That's great. 1 famous (5) (6) 1 (18) Grade 4 (8) 2 次の (1) から (15) まで ( に入れるのに最も適切なものを 1,2,3,4の中から一つ選び、その番号のマーク欄をぬりつぶしなさい。 (3) A: When did the Sylvia Hotel open? B: In 1913. It's over a hundred years ( 1 many 2 quiet (4) A: Everyone is here, so we can ( B: OK. 1 visit Mary ( 1 misses day. (7) A: Your ( Ted made some friends at his new school, so he was ( thin 1 2 slow 3 glad Peter became a ( 1 member B: Thank you. 1 question Grade 4 2 next ) soccer player on the train today. 2 start 3 hard 2 bench ) to get a bird for her birthday. 2 picks 3 hopes 1 That's my dream. 3 I'll watch you. 1 Have fun. 3 Not yet. 3 tall 1 Did you make them? 3 Is it finished? Daughter: I will. 1 I'm hungry. 3 stay at home. 3 carry ) of the swimming club. ) is so beautiful! I love seeing the flowers in spring. 2 holiday 3 sound 2 ) the movie now. 3 salad 3 moved (17) Father: How was your band practice today? Son: ( ) We learned a new song. 1 I have a ticket. 3 You're right. I ( ) a bad cold today, so I couldn't have lunch with my grandmother. I was really sad. 1 kept 2 had Mother: Would you like a cupcake? Daughter: Yes, please. ( ) Mother: No, they were on sale at the supermarket. 4 thick (19) Girl: Thanks for studying with me today. Boy: ( ) I enjoyed it. 次の (16) から (20) までの会話について ( に入れるのに最も 適切なものを 1,2,3,4の中から一つ選び、その番号のマーク欄をぬりつ ぶしなさい。 (16) Girl: I love playing the piano. Boy: Do you want to be a professional pianist in the future? Girl: Yes. ( ) 4 old lazy 4 drop 2 After math. 4 No problem. (20) Daughter: Dad, shall I cut the vegetables for the salad? Father: Yes, please, but ( 4 follows He swims every 2 It's my guitar. 4 You can have one. 2 it's a fruit. 4 be careful. 4 towel 4 garden 2 It was fun. 4 It was on the radio. 4 rode 2 Will they be ready? 4 Are you late? (9) (12) Grade 4 (13) A: What can you cook? B: I like to make food from different countries. ( Italian food and Chinese food. 1 For 2 To (10) A: Did you meet the new English teacher? B: Yes, he comes ( 1 until 2 (11) A: What ( (14) 3 ) of dog do you want? B: I want a big dog because I love to go on long walks. 1 room 2 wind 3 kind (22) (15) A: Excuse me. ( B: That one is $10. 1 Where (23) After school, Chris enjoys ( listen to her funny stories. 1 talking 2 opening (24) 4級 354. 34 $18,73 Today, it will snow much ( and I will make a big snowman. 1 harder 2 hard (25) (21) 新しいくつを買ってはどうですか。 1 arplad I love riding my bike to the park, but my sister ( likes to stay at home. 1 haven't 2 doesn't Brush breakfast. 1 ) South Africa. He loves rugby. along 3 This is 10 みが 朝食を食べたら歯を磨きなさい。 (after 2 your 3 you 2番目 1 2 Why (4) 2 ( you buy 3 why 4 new shoes 2番目 4番目 1 2 5 My brother tomorrow. ) much is this T-shirt? 3 2 3 As スープをもっともらえますか。 have ( soup can 2 2 Grade 4 LI 856 次の (21) から (25) までの日本文の意味を表すように ①から⑤までを並べ の中に入れなさい。 そして、2番目と4番目にくるものの かえて 最も適切な組合せを1,2,3,4の中から一つ選び、その番号のマークを ぬりつぶしなさい。 ※ただし, ( の中では、夏のはじめにくる語も 小文字になっています。 2番目 2 over W 4 from 2番目 3 holding BEL はじ これは私の初めてのシンガポール旅行です。 (Singapore 2 my first 4 to ) with his teacher. 3 don't 2② 3 hardest 3 When ) than yesterday. 3 4 eat 5 teeth) 3 4 In 4 3 4 side ) example, (3) some more 3 (5 3 4 asking 5 trip) 5 don't) He likes to 4 isn't (4) (write 2 to 3 by 4 has 5 a report) 2番目 2 4番目 わたし あに あす 私の兄は明日までに, レポートを書かなければいけません。 4 too hard ). 4 How (51) My brother She 4 4番目 ⑤5⑤ - (3) (3) please? 4 3-0

教えてください！！急ぎです💦

実戦テスト 1 次の文の (1) I know a girl ( who (2) The book ( 7 that (3) The street ( which 合格目標 解答 p.12 )に入る適切な語(句) を選び, 記号で答えなさい。 ) is standing at the door. 1 whose ) you are reading is very interesting. 1 whose whatidwani (4) #Mr. Hata loved the animals ( 7 which is 1 who live (5) Kyoto is an international city ( 7 which イ why 70点 次の 日本文の意味を表すように, 時間 40分 where vil odwI what ) leads to the school is narrow. 1 what when ) in the forest. that were ) many people visit every year. there I but 3点×5(15 に適切な1語を書きなさい I where I who lived

英語、塾まであと10分だから助けて( ¯−¯ )

13 定着 基本文③ 次の英文がなりたつように, (1) People call Ken-chan. (2) His performance made (3) Mr. Ito gave (4) Their efforts に適する語を( (he, his, him, himself) excited. (they, their, them, theirs) (we, our, us, ours) (come, keep, give, take ) に適する語を書きなさい。 a lot of homework. the city clean. 4 定着 基本文③ 次の日本文にあう英文になるように, (1) 人々の前で話すことは私を緊張させます。 in front of people (2) 多くのよいコメントがその歌手を有名にしました。 Many nice comments the singer (3) みんなが彼女をプリティ・キティと呼びます。 Everyone (4) ボランティアの活動が町を美しく保っています。 Volunteer activities the town Pretty Kitty. 内から選んで書きなさい。 □ 意味も確認しよ 5 定着 基本文 ③ 次の日本文にあう英文になるように, ( )内の語(句) を並べかえなさい。 (1) その本は彼女を作家として有名にしました。 The (famous/as/ made/book / a/writer/ her). (3) 5人の子供たちがスミス夫人をいつも忙しくしています。 (Mrs. Smith / always/ busy / children / five / keep). nervous. (2) 私は妹に誕生日ケーキを作ってあげました。(cake/a/my/made/ birthday/I/ sister). (4) その物語を読むとあなたはとても悲しくなるでしょう。 ( sad / will / the story / very/you/reading/make) .

分からないので教えて欲しいです。よろしくお願いします🤲🏻

Goal 記事の要約を完成しよう。 "Stand by Me" The lyrics are (power ful). Listen to this song when you are ( down ) or in (trouble). できごと ①: play the drums One time, the writer broke her arm and couldn't ( but the song ( is simple ). できごと ②: Other times, the writer's band decided to ( ( trust me ). play the song ). Her life seemed so terrible, ). The song

なるべく早く答えて欲しいです！！ これの真ん中部分の和訳がわかんないんですけど、どう訳せばいいか教えてくださいm(*_ _)m 1枚目の写真だと、赤線が引いてある線と、長い黒線が引いてある部分です。2枚目の写真は、真ん中らへんのearth millions の黄色線が引いて... 続きを読む

10 20 called trunks, w eir mouths. Elephants cannot see very well. Their eyes are on the state of their heads, so they have to move 全体 their whole body to look at things. The phants have very good hearing, but 耳 they do not all have big ears. The elephants in Africa have very big ears. They 耳 use their ears to help them cool down on hot days. Elephants in other countries do not have such big ears. 両方とも Elephants live in both Africa and Asia. They can live for about 70 years. たいていの That is a long time. Most of an elephant's life is spent eating. Elephants spend 75% of their day eating. They eat a lot of plants and trees. They do not eat other animals. Elephants also need to drink a lot of water. They drink more than 250 liters of water a day. That is like drinking more than 700 small bottles of water a day. Elephants do not like to be on their own. They travel around in groups, いつも usuall 全体 aily with about 10 other elephants. When new elephants are born, the whole group helps to look after the new baby elephants. Elephants are very lucky because other animals do not attack them. クニッ Sometimes baby elephants are attacked by lions and crocodiles. However, 26 there is a bigger problem for elephants than lions and crocodiles. The bigger ~の部分 problem is humans. Humans kill many elephants. Parts of the elephant are 価値 worth a lot of money, so people want to get these parts and sell them. KR さらに、 ゾウ People also kill 'elephants

beの使い方分かりやすく教えて欲しいです！

すべてわかりません…教えてください！

Unit 4 長文問題 もしも時間を戻せたら? 1 ) able to change the past? If you Do you ever wish you (1) had (2) that ability, maybe you would spend more time practicing soccer, learn the instrument that you always wanted to play, study harder for that big test, or try to save more money for the future. 2 What would you do if you had the ability to turn back the clock? This was a question which Mr. Woodall, a high school teacher in Philadelphia, asked his students. Mr. Woodall wanted to know what was important to his students but was pleasantly surprised to see the results. I think their answers will be very interesting to you, too. (3) 3 Mr. Woodall expected to see answers (which were connected to the own good of the students, but he was wrong. The majority of the answers (5)which he received from his students were for the good of others. 4 Targ ①関係 2157 (4) A very common answer he found was, “If I could turn back the clock, I would take back some things that I said to a friend." Apparently, many of the students regretted saying something (5) friends and wanted to change that. Surprisingly, close to 40% of the students answered this way. ) hurt their 5 Another common answer was about pets. "If I were able to turn back the clock, I would spend more time with my dog," or "(7)I would be nicer to my cat," were some common answers. Almost 25% of the students missed their pet very much and wanted to show more love. These pets included dogs, cats, birds, rabbits and other animals. 6 There were other answers about reading more books, studying harder, or eating less junk food. However, Mr. Woodall was quite impressed with his students and their concern for others. He decided to share all of the answers with his students, and the students enjoyed hearing the different answers. Mr. Woodall decided to try this activity with his students every year. By asking, he felt he would learn a lot about his students. tu P e g n t

すみません、至急お願いします。 問1から問9まで教えてください🙇‍♀️

Unit 4 長文問題] もしも時間を戻せたら? ) able to change the past? If you 1 Do you ever wish you (2) had that ability, maybe you would spend more time practicing soccer, learn the instrument that you always wanted to play, study harder for that big test, or try to save more money for the future. 2 What would you do if you had the ability to turn back the clock? This was a question which Mr. Woodall, a high school teacher in Philadelphia, asked his students. Mr. Woodall wanted to know what was important to his students but was pleasantly surprised to see the results. I think their answers will be very interesting to you, too. Hou 3 Mr. Woodall expected to see answers (which were connected to the own good of the students, but (3) he was wrong. The majority of the which he received from his students were for the good of answers (う) others. Target ① 関係代名詞 ②仮定法・間接疑問文 66 4 A very common answer he found was, “(4)If I could turn back the clock, I would take back some things that I said to a friend.” Apparently, many of the students regretted saying something (5) friends and wanted to change that. Surprisingly, close to 40% of the students answered this way. 7) hurt their 5 (7) (6) Another common answer was about pets. "If I were able to turn back the clock, I would spend more time with my dog," or "I would be nicer to my cat," were some common answers. Almost 25% of the students missed their pet very much and wanted to show more love. These pets included dogs, cats, birds, rabbits and other animals. turn back and M (時計を) 巻き戻す pleasantly 心地よく expected to 6 There were other answers about reading more books, studying harder, or eating less junk food. However, Mr. Woodall was quite impressed with his students and their concern for others. He decided to share all of the answers with his students, and the students enjoyed hearing the different answers. Mr. Woodall decided to try this activity with his students every year. By asking, he felt he would learn a lot about his students. 〜するだろうと思う good majority , t take back 取り消す apparently close to どうやら~らしい t be nice to 〜にやさしい de 問 1 (1) ( 問2 問3 い。 1.9 ( junk food ジャンクフード concern for . 〜への気遣い、配慮 (4

１、の答え教えて頂きたいです🙇🏻‍♀️ 見ずらくてすみません💦

2 次の各問に答えよ。 ( 印の付いている単語・語句には、本文のあとに 〔注〕 がある。) 1 高校生の Hiroto と, Hiroto の家にホームステイしているアメリカからの留学生の Mike は、 夏休 (A) の中に、それぞれ入る語句の 及び (B) みのある土曜日の予定について話をしている。 組み合わせとして正しいものは、下のア~エのうちではどれか。 ただし、下のIは,二人が見ている。 東京都内のある地域を紹介したパンフレットの一部である。 Hiroto: Look at this. There are I four areas here. My father says we can visit three of them on our one-day trip in Tokyo. There is a *shuttle bus service to and from the station. Which areas do you want to visit, Mike? Mike: I want to enjoy beautiful views of nature. Hiroto: I see. How about visiting p Forest Area Mountain Area Onsen Area Park Area Things You Can Do - Visiting old buildings Enjoying beautiful views of nature from the buildings Walking across a long bridge Feeling cool wind from *valleys 7 (A) Forest Area (B) Onsen Area (A) Forest Area (B) Mountain Area Enjoying famous onsen Eating delicious local food Watching birds and animals in the park Seeing beautiful views of nature from the park 〔注〕 shuttle bus 往復バス mind valley More Information There are two buses every hour. The buildings are in beautiful forests. To get to the bridge from the nearest bus stop takes about one hour. This area is near the station. You can walk to it. the (A) ? We can go there by bus. Mike: That's nice. I like watching birds and walking in places that are rich in nature. I don't mind going up and down a lot of stairs. Let's go there. Hiroto: Yes, let's. Where shall we visit next? Mike: Both the Mountain Area and the Onsen Area look good to me. I would also like to enjoy local food. Hiroto: Well, that sounds nice. Which of the two shall we visit first? Mike: Shall we visit the (B) first? If we do that, we can enjoy hot springs at the end of our one-day trip. Hiroto: That's a good idea. Let's do that. Mike: Thank you. I'm looking forward to having a good time. Hiroto: Me, too. I'll tell my father about our plan. There are six buses every hour. The park has a lot of stairs. (A) Park Area (B) Onsen Area I (A) Park Area (B) Mountain Area