教えてください🙏

Many buildings here were destroyed in 1945. Only this remained. We call it the Atomic Bomb Dome. It became a World Heritage Site in 1996. It expresses the hope for world peace. The person holding a binder is a volunteer guide. Let's listen to him. He'll explain about the Dome.

(1)の問題なのですが、この問題がもし記述で出た時、偶数乗と奇数乗で余りに法則性があることは自明として良いのでしょうか？それとも数学的帰納法か何かしらの方法で証明しなければならないのですか？

BGK 例題 249 合同式の利用2) (早稲田 (1) 20002000 を12 で割ったときの余りを求めよ。 (2) 49123 の一の位の数字を求めよ。 88+ 考え方合同式の性質(a, b:整数, m, n:正の整数) a"=6" (modm) a=b (mod m)ならば, であることを利用する。 (1) まず, 2000を12で割った余りを考える。 (2) 10 の倍数は, 10, 20, 30, 40,……となり,一の位は必ず0であるか を10 で割ったときの余りが一の位の数字と等しくなる. Gbom) =1+8=8 にあ 余 Dom 3F 2000=12 (1) 2000=8(mod12) したがって, ここで, 解答 20002000=82000 (mod12) 8°=64=4(mod12) 8°=8°×8=4×8=32=8(mod12) 8*=8°×8=8×8=4 (mod12) m bom) 設+ 8°=8(n 8°=4(n 0 (mbotn (mbom) hod 余りが4 4より 82k=4(mod12), 8?k+1=8 (mod12) すのが (んは正の整数) 82000=4(mod12) | 20002000=4(mod12) 2000=2×1000 より, 82k の方 (tbom) [-このとき,①より、 よって,求める余りは, 4

（m−5）（m−1）≧0 はどのように計算したらこの答えになりますか？

124(m-3)とれ1に0 D=(m-3)た4.1に1 ; m-6m+9-4 = m-bomt 5. D20のとき実が解とものので、 m'-6mt5z0 (m-5)(m-1)ZO msl 5年m

答えは1番なのですがどうして他がダメなのかわからないです…教えてください！

WARM UP yeT (o od ot anoscyn ordio sm bomsolni yorl' 1. They are ( に) but look happy. ④ poverty の poor 2 poorly (3 poornesS 0+ 2 He 0o0mmo1ai ) molni

答えとなんでそうなるのかの解説お願いしたいです！！ 1部だけでもいいのでお願いします！

1 ()に入れるのに最も適切なものを選び、番号をマークしなさい。(各1点) 1 The term of the contract ( ) for three years. Orun 2 is running (3) runs の have run 2 You( D had better not ② had not better ③ not had better ④ had better not to ) swim in this river. It's dangerous. 3I recommended that she ( ) the professor. D had seen saw 3 should see ④ would see 4 He looks quite young. He ( 0 cannot 2 may ) be over 50. 3 ought to ④ must 5“Is Bill still using your car?" "Yes, I wonder when he ( ) it.” fcob dw ta の has returned ② returned ③ returns 0w(4) will return 6 It has been hard to concentrate on my studies lately because a road ( )in front of my house. O builds 2 has built ③ is being built ④ is building 7 The book I am reading is so exciting! I will lend it to you as soon as I ( )it. 0 will have finished 2 will finish ③ have finished am going to finish 8 The mountain is ( ) snow. 0 covering by ② covering with③ covered by ④ covered with 9 We've just missed the train. Dshould We( ) left our office a little earlier. 2should not 3should have のshould not have 10 Be sure to turn off the lights when you ) the room. の leave 2 will leave 3 left ④ leaving 11 Half of the students in this class ( ) glasses. ② are wearing ③ is wearing 0 put on 4) wear 12 He sold the TV set which he ( )only a few months before. ① has watched ② has used from ③ had bought ④ got in 1

日本語訳をお願いします。🥺

右:小西幸子さんが通った広島 左:広島県産業奨励館(現原爆ドーム For a long time, streetcars have been vital to the people of Hiroshima. Among many streetcars in service today, a few of them survived the atomic bombing of World War II. They : 四訂版 On ーム 政女学校の生徒たち ロ」 addit kille pair to e Th na Al n streetcar[stritká:r] vital[váital] service[ssnis] in service 運行中の are atomic[atámik] bombing[bámin] called “atomic-bombed streetcars.” bomb[bám] Until the war, streetcar drivers were male. However. a lot.. battlefield [baetlf:ld] men were sent to the battlefields, so the drivers were renlo replace[ripléis] with girls. One of them, Konishi Sachiko, was oniy fourteen operate[ápareit] when she started to learn how to operate a streetcar after her daily studies at school. Working as a driver was hard, but Sachiko and her classmates were proud of their work. 1 Why are some of Hiroshima's streetcars called "atomic-bombed streetcars"? Questions 2 How did Sachiko and her classmates feel about their work? 132

テストにですのですが分からなくて、、、 わかるとこだけでもいいので教えて欲しいです。

Empowerl Essential Empower Es5ential 教科書 pp.76-77 Unit 10 Grammar Focus 24 Unit 10 Grammar Focus 23 教科書 pp.78-79 Number Class Name Class Number Name 150 150 11 )内から適切な語句を選びなさい。(3点×4=12点) .Ivisited the town ( which/where) they were bom )内から適切な語句を選びなさい、 (3点×4=12点) 1( 1. He was an inventor ( who/which) tricd to change the world. 2. Can you see that boy ( whose/whom) hair is black? He is from Taiwan. 3. I'll do everything ( who / that )1 can do for you. 4. The man ( who/which) my sister is going to marry is from Italy. っ No one knows the reason ( which / why ) he left. summer, I visited Canbecrra, ( which/ where ) is the capital of Australia. My sister was born in 2010, (when/ where ) the Winter Olympic Games were held in Vancouver. 2 日本語に合うように、( 1. That is the best restaurant( あれが、私が知っている最もよいレストランです。 2. I talked witha girl ( 私は,ダンサーになる夢を持つ女の子と話をした。 3. This is the last ( これは彼が書いた最後の小説です。 )に適切な語を入れなさい。(3点x6=18点) 2日本語に合うように、( 1. The child was saved by the fireman, ( その子はその消防士に助けられたが、彼は本当に勇敗だった。 2. The place ( 私たちが休暇を過ごしたところは美しかった。 3. Mr. Kimura asked her the ( 木村先生は彼女に遅刻をした理由をたずねた。 4. We went to the zoo, ( 私たちは動物園に行って、そこで楽しく過ごした。 5. John often watched Japanese anime. That ( Japanese. ジョンはよく日本のアニメを見ていた。そのようにして彼は日本語を学んだ。 )に通切な語を入れなさい。(3点x6=18点) )0 )so brave. )is to be a dancer. )we spent our vacation was beautiful. ) he wrote. )she was late for school. 4. Ms. Mukai is the first ( )traveled into ) we had a good time. space. 向井さんは宇宙旅行をした最初の日本人女性です。 5. German is one of the ( ドイツは私が行ってみたい国の1つです。 6. He is the scientist ( 彼はこの私が最も尊敬する科学者だ。 )Iwould like to visit. )he leamed )the most. 6. 1 love autumn, ( 私は秋が大好きで、その頃には木々の葉が黄色や赤になる。 )leaves of some trees turn yellow or red. 3日本語に合うように、[ 1. The watch [ repaired / him / was / which/ by ] is working now. ]内の語句を並べかえて、英文を完成しなさい。(5点×4=20 点) 3 日本語に合うように、 [ ] 内の語句を並べかえて、 英文を完成しなさい。 (5点×4=20 点) 1. She lent meabook, [ love/was/ a/which/ story ]. She lent me a book, 彼女は私に本を貸してくれたが、それは恋愛物語だった。 2.1 like to walkinthis park, [ tulips/ where / are / planted / a lot of ]. Ilike to walk in this park, 私はこの公園の中を歩くのが好きで, ここにはたくさんのチューリップが植えてある。 3. I listened to the CD many times. This [1/is/ to/how/learned ] play the piano. Tlistened to the CD many times. This 私は何度もそのCD を聞いた。このようにして私はピアノの弾き方を学んだ。 4. Chris laughed at her. That's [ she / why/ angry/the reason / got ]. Chris laughed at her. That's クリスは彼女のことを笑った。それが,彼女が怒った理由だ。 The watch is working now. 彼に直してもらった腕時計は今動いている。 2. Is this [ which/ you/ lost / the pen ] yesterday? Is this yesterday? これはあなたが昨日なくしたペンですか。 3. Near my house I saw [ that / the same dog / had / you/ seen ]. Near my housel saw 家の近くで、あなたが見たのと同じ犬を見かけました。 4. Look. That's the guitar [ buy /to/l'm/which/ going]. Look. That's the guitar 見て、あれが、僕が買うつもりのギターだよ。 play the piano.

（1）の1行目から、2行目への変換の仕方が分かりません

54.html プ 教列{a«},{ba}の公差を、それぞれc.dとする。 (0) As(m+) -asm =[a,+f5(n+l)-1}c]-fa,+(5m-l)c} =D5c すべての自然教nについて、 Astmel) -Qasm が5cで -定であるから、教列 fasa}は等差教列である。 (2) (2am-3bm) -(2a,-3ba) =2(aa - an)-3(bm - bm) =2c-3d すいての自然教nについて(2ame-3barノ-(2an-3bm が 2c-3dで一定であるから.教列{2an-3bajは 等差教列である。 6) (aume) +brcmo))-(asn-bom) =Azm+2+ bsa+3 -azn-bim =(a2m+ュ-Qzme) +(asmel-Qam)+(bm-s-bsmez) +(bamez-bimi)t(bame)-bim) =c+c+d+d+d 2c+ 3d NEC

至急！2番の丸をしているところがなぜこうなるのかいまいちわかりません！教えてください！

:あるこ o)すべての自然数nについて, 2"*!+3?n-1 は7の倍数である ことを証明せよ、 はさ 方(1) 9=4 (mod5) であるから、合同式の性質 α"=Db" (mod m) より, 9=4",(mod5) がいえる。 (2) 9=2 (mod7) に着目し,合同式の性質を利用できるように式を変形する。 なる で 文100 9=4(mod5) であり,nは自然数であるから、 9*=4"(mod5) ①000090+10000 0 がいえる。 のより, お 注100000010000I 001.Qい 9"+4-4"手47+4·4"(mod5) ここで、4+4·4"=(1+4)·4-5-4")より、 であ gn+4·4"=5·4年0)(mod5) よって,すべての自然数nについて,9"+4"+! は5 の倍数である。 を満だす L bom,0=1000000」 10000 (2) 27+1+32カ11-P とおく. 2)100 27+1=22.27-1-4/2 固数と また, )n-1 |3(n-1)=(3)*-1 32n-1-3·3?z-2=3-32(n-1)-3}9"-1 P=4·2"-1+39"-1 0 = a =97-1 a=b (modm) a"=b" (modm) bpMP. より, ここで,9=2 (mod7)より, 97-1=2"-1 (mod7) したがって,①より, P=4·2"-1+3-2" ! (mod7) さらに, T 4-27-1+3-27-1ー(4+3)·2"-1=7.2"-1 3855 P=0(mod7) 以上から,すべベての自然数nについて, 2"*"+3*"ー】+= け7の倍数である. より, J にち I Du前昌抽注を使っても証

和訳お願いします‼️

以下は、この木の回想です。 On the morning of that day, a big bomb fell on the city of Hiroshima. Many people lost their lives, O be and many others were injured. They had burns all over their bodies. I was very sad when I saw those の s people. It was a very hot day. Some of the people fell down near me. I said to them, “Come and rest in my shade. You'll be all right soon.” Night came. Some people were already dead. I 10 heard a weak voice. It ullaby. A young girl was a l was singing to a little boy. “Mommy! Mommy!” the boy cried. “Don't cry," the girl said. “Mommy is here.” Then she began to sing ; again. 15 She was very weak, but she tried to be a mother to the poor little boy. She held him in her arms like a real mother. [140 words)