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パワーアップ 次の文を疑問文に書きかえなさい。 □① She went to the library with her mother. □ ② He liked English. 1意: □③ The woman closed the door. did not vabriod □ ④ Tom came home at seven last night. beil

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3 disappointing 16. The spectators in the stadium were ( 興させら 15. Our trip was canceled because of the new influenza. I was very ( C①disappoint 観客 Dexcite exciting 17. The travel plan to Hawaii sounds really ( ). 興奮さいる 3 excited ) by the last scene. The film is really something. 9dt O 失望させられる Whollib girls (2 disappointed ④to disappoint Juomib gridtemos 〈北陸 ) over the local team's victory. 3 excites ④excited <星薬科 4 excites 〈城西 1 excite 2 exciting 18. You would be ( おどろかける 1 surprising ② surprised surprises 4 surprise** 19. It is ( おどろかす ) that no one has objected to the plan al surprisedly 2 surprisingly 3 surprised ④surprising <山梨 Heure D 20. It was ( 1284017058 mi) to see h him make a poor excuse for avoiding his work. sloga olds S 1 embarrassed 2 embarrassingly ③ embarrassedly TAIRE/ Dalike ④embarrassing ☐ 21. I cannot tell my sister's twin daughters apart. They look pretty much ( <日本 with boy giaol as in P ). llama D (2 even 3 good 4 equal <福岡国際 似ている HOOT ST wel gr① wet is silu ( HouM

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7. Could humans live on indefinitely were it not for ( を無期限に 1 some 2 little 8. The secretary provided me with a great ( 1 deal 9. ( 2 much ) age-related diseases? few slem of bad ow ) number of people visited the museum last month. 1 The 2 Much 可算 <宮崎大) (3) no ) of information. ) 3 many of y④number <東京工科大) aj2919jni S a number of A Facia 4 Many 〈関西外国語大〉 も両方修飾 few文にあれないX ④ a little of y ) to me. 3 A ) people to the party, but only a few came. ・可算も不可算 行くさんの 〈関西外国語大 2 lots of of) 10. We invited ( 1 much ry I read in to 興味を与える aldness 11. The story I read in today's English class was really ( 1 interesting 2 interested③ interest being interested alde) oldiezog 12. Jenny was extremely ( I in the fact that no one had ever been to the island. ISLUG interested in A A107 2 interested (大岡 be 1 interests 13. The speech this afternoon was so ( 退屈させる ⑩boring 2 to be boring 14. "How does Amy like college?" 3 interesting 4 interest wol <愛知> 〈大東文化大 〉 ) that I fell asleep. Inoizastong gables? E 3 bore 19blero (8) oldsbien 4 bored zelq() borobianos D ) living alone, but she's doing oing extremely well in her courses." "She is a little ( 〈大山 退屈させられる (1 bored 2 boring 3 surprised ④surprising sthoval 〈京都産業大 >

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1 英文中の空所に入る適切な語または語句を選択肢から選びなさい。 は不可算 oxygen in the high Himalayan mountains. Oxygen 17. 酸素 ③ittle ほとんど~ない④ few er ☐ < 駿河台大〉 nmunicate with him. English 77 English, so we were able to communicate 2 a little 1. There is ( 1 small 2 least 2. Pablo spoke ( 1 little 子供を失うことほど辛いことはほとんどない 3 few 苦しい ② Little ほとんど 3 Rare 〜ない books 2 Much 3 Quite a few ④Very few かなりの数の 4 a few the 4 Few 3. ( ) things are as painful as losing your child. things of 〈摂南大〉 <東邦大〉 ) people came to hear her lecture, so the lecture room was soon crowded. people T 1 Small 4. ( A large <東北学院大 〉 57

pは素数~であり、pCrはpで割り切れるについてなぜ言えるのかわかりません、どなたかもう少し噛み砕いてこの説明をしていただけたら嬉しいです。回答お願いします

000 基本55 した。 化 を代入。 を代入。 重要 59 フェルマの小定理に関する証明 00000 は素数とする。 このとき, 自然数nについて,n-nがの倍数であることを 数学的帰納法によって証明せよ。 指針 解答 [類茨城大]基本56 n=k+1の場合に(k+1)が現れるが,この展開には二項定理(数学ⅡI) を利用する。 よって (k+1)=k+pCik-1+pCzkP2++pp-ak+pCp-ik+1 (k+1)-(k+1)=pC1k-1+Czk2++pCp-zk+pCp-skk-k n=kのときの仮定より,k-kはかで割り切れるから,pCi, pC2,....... ち (1≦x≦p-1) がpで割り切れることを示す。 n-nはかの倍数である」 を①とする。 [1] n=1のとき 1'-1=0 よって, ①は成り立つ。 Cp- すなわ 合同式(チャート式基礎からの数学A) を 利用してもよい (解答編 p. 352,353 参照)。 ...... ②と [2]n=kのとき① が成り立つと仮定すると,k-k=pm(m は整数) おける n=k+1のときを考えると、 ② から (k+1)-(k+1)=k+pC1kp-1+pCzko+....+pp-2k+pCp_ik+1_(k+1) 503 1 章 ⑥数学的帰納法 一代入。 =pCike-1+pCzkp+......+pCp_2k+pCpk+pm ...... ③ 1≦x≦p-1のとき p! pCr= (p-1)! = r!(p-r)! r (r−1)!(p-r)! r Pp-1Cr-1 12,22, よって ropCr=ppiCr-1 ♪は素数であるからとかは互いに素であり, Cr はμで割り切れる。 ゆえに,③ から, (k+1)-(k+1) はの倍数である。 したがって, n=k+1のときにも①は成り立つ。 [1], [2] から, すべての自然数nについて,n-nはpの倍数である。

英検準1の英作文です。内容めちゃめちゃかもしれないし字が読みにくいと思うんですが簡単にでもいいので添削お願いしたいです🙇‍♀️

I think that rich countries should First de velop of I have two all, rich Countries has a lot of on the other hand, poor countries Countries money. Therefore rich countries should found places where they can work Second of all, helping poor countries to develop there but also to encourase rich countries's economic growth do reasons to support my opinion. have enough money do mare to help poor Countries to not 9 found facilities. but many of poor people and they cah not work and earn is not only For example, rich countries Can sell their products to the helpins Countries According to the reasons stated above, I think developed countries should do more to help developing Countries develop. and

1番はdonatedなのですか？ donateではダメな理由を教えてください

Complete the sentences with the correct form of the words below. ] some money to help the people affected by the typhoon. Most clothes that are thrown away are either burned or taken to a [ The jacket had a hole in it, so the store [ ] it for me. 1. [ 2. 3. 4. 5. 6. Some companies are trying to reduce their [ I want to work for a [ ] that helps people in poorer countries. My cousin works for a clothes [ ] in the design department. ]. ] so they are more environmentally friendly. [ carbon emissions/charity/donate/ landfill / manufacturer / replace ]

brokeとbrokenの違いを教えてください あと写真のholdsとsがつく理由を教えてください どういう時にsがつきますか？

✓ 886 食糧の供給が続く限り, ここにとどまりなさい。 発展 Stay here as long as the food supply holds (= lasts) ・せたらどう? (青!

数C 青チャート 練習61 解答と違う解き方なんですけど、合ってますか？？

練習 四面体 ABCDに関し、次の等式を満たす点Pはどのような位置にある点か。 ③ 61 AP+2BP-7CP-3DP=0 点 A に関する位置ベクトルをB(L),C(c), D (7), P (1) とす ると,等式から

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2 次の英文の下線部には誤っている箇所が1箇所ある。 その番号を選び、正しい形に直しなさい。 一不可 26. Passengers should check their luggages with the airline agent at the ticket counter. luggage bagolavsb ente 〈国士舘大 〉 27. I found that I had completed only about two third of the work I should have done SO far. brus thirds 分子が2以上lings〈西南学院大) bod (大藝女子大 3 次の日本文の意味になるように,( )内の語を並べかえて適切な英文を作りなさい。 28. 警察が提示した証拠をもって、 彼の有罪は疑いの余地がなくなったようだ。 With the evidence presented by ce presented by the police, t be / his / to) guilt. police, there (no / doubt/fór/roóm/about/ seemed/ seemed to be no room for doubt about his 29. ここへ来るのに1時間半かかりました。 <大郎> 〈関西外国語大〉 19T A Imosaib D It ( here / come / ańd/to/af/ one / took / hoyrs / half ). he rise of van II'DOY took one and a half hours to come here manegy ovit jeal prit ni tasorog 99mit yd nggit and see it i <中部大〉