(1)の類題で、この問題は違いますが、「取り出した順にa1，a2…とする。」のような問題がよくあるじゃないですか。その場合、答えは、写真のように「大きい(または小さい)順にa1，a2…と考える」と同じように解くと思います。 それってなんで成り立つんですか？わかるような説明が... 続きを読む

重要 例題 35 次の条件を満たす整数の組 (Q1. 2, 3, 4, (1) 1sa, Sa, Sassa, sa, ≤4 0000 425) の個数を求めよ。 atatastastas, al, a≧0 (i=2,3,4,5) 指針 (1) 1.2.3.4の4個の数字から重複を許して5個を選び、小さい数から順に 解答 (2)条件が (1) と似ているから, (1) が利用できないかどうかを考える。 ･･････αs を対応させればよい。 →求める個数は、重複組合せに一致する。 (1)(2)の問題 (1) は(2)のヒント b=a, b2=a1+az, ba=a,+a2+a3, ba=as+aztastas.bs=astastastat とおくと 1≤bbbb₁≤b,≤4 (1)の条件と同じ! (by, bz, b3, 64, bs) が決まれば, 直ちに (a, az, d3, 4, as) も決まる。 (1) 条件を満たす整数の組 (α1, a2, 3, 4, α5) の個数は, 1234の4個の数字から重複を許して5個取る組合せの 5 つのと3つの 数であるから Hs=4+6-1Cs=8C5=8C3=56 (個) (2) by=ax, b2=a1+az, b3=a1+a2+a3, ba=a1+a2+astas, bs=a1+a2+as+α+αs とおくと 1≤bib₂b3b4b5≤4 よって、この不等式を満たす整数の組 (b1, 62, 63, 64, bs) の個数は, (1) から 56個 ここで (b1, bz, 63, 64, bs) の1つの組に対して (a,a2, 3, a, α5) の組はただ1つに決まる。 したがって, 求める組の個数は 56個 別解 α-1=A, A+az+a+α+α5=S とおく。 求める個数は, S= 0, 1, 2, 3 をそれぞれ満たす 0 以上の整 数の組 (A,a2, a3, 4, α5) の総数に等しい。 を1列に並べる に一致する。 例え 00101100 123 は, a=1,=1 α=4,as=4を 例えば、 (bl. bz, b =(1.1.2.4 であるとき (as, az as =(1.0.1.2 S=3のとき,異なる5種類のものから、重複を許して3個取 前ページの基 る組合せの数を求めて 5H3=5+3-1C3=7C3=35 (個) 参照。 S=2のとき, 同様に考えて 5H2=5+2-1C2=6C2=15(個) S=1のとき5個, S=0のとき1個。 以上から 練習 (4) 56個 <35+15+5+ 数123を重複を許してn個並べてできる数の組 (41,42, 35 (1) 条件 a≦a≦ Man = j を満たす組が Am (j) 通りあるとする。 j=1,2,3とする。 An (2) Am(3) を求めよ。 (2)n≧2のとき、次の条件を満たす数の組は何通りあるか。 amaz...... Man- かつ an-1>an

この問題教えてください💦

2 2 (2) ax²+by²-ay²-bx²

答えあっていますでしょうか🥲🥲

19764975 17. It will not be long (___) she can have the transplant surgery. 1 when 2 time 3 after It will not be long before SV 4 before ④till~するまで 18. The old man watched the ship (become smaller and smaller) ☐ 19. ( 1 because guon 2 unless 3 after <兵庫医科大〉 ) it was seen no more. 〈獨協大〉 ) my son enters elementary school, he should be able to say the English alphabet. ①Before long ②By the time ③While 4 Until 11(t) 20. He had no sooner arrived at home (min) it started to rain. S had no sooner done 1 as □ 21. ( ①Fairly 2 for 3 when than 101 ... than did ・・・したらすぐに~し(札幌) ~ ) had the meeting started when an earthquake shook the building. Hardly had s done 3 Immediately Rarely 倒置形 <明治大) 2 Hardly ? 22. ( ) begun considering the solution when an 報が入ってきた came in. Hea ~したらすぐにした 2 Before the men had 4 Soon had the men 1 As soon as the men had ~~したらすぐに 3 Scarcely had the men 人間は彼らが生き残るために必要なものを生産しはじめるとすぐに 〈日本大〉 23.( human beings started to produce what they needed to survive) they set themselves ① As soon as ~するとすぐに (大) apart from animals. eogebroe 2 The reason why 4 As it is * 3 No more than 24. I knew something was wrong with the engine ( although 2 even if 3 however ) I tried to start the car. 〈関西外国語大〉 12 the moment ~するとすぐ(近畿大> ⑨the

21番です。 なぜ、対比の訳になるのか教えていただきたいです🙏

IV 次の英文を読み, 空所 19~ VR肢①~④から1つずつ選びなさい。 問題 23を埋めるのに文脈上最も適切なものを、それぞれ下の選 Sixty-five million years later, the extinction of the dinosaurs remains a great mystery. Scientists think that dinosaurs existed on Earth for almost 200 million years. 19 could these great beasts, some of which weighed thousands of pounds and stood 100 feet tall, suddenly disappear? 11 The most popular theory is that the dinosaurs were killed off when an asteroid into southern Mexico. The asteroid's collision caused earthquakes, fires, and tidal waves. Volcanoes erupted, spewing poisonous gases into the sky and lowering the oxygen level in the oceans. Plants died, removing the food source for plant-eating dinosaurs. As these dinosaurs died, there was no food for meat-eating dinosaurs. In a short period of time, the dinosaurs were gone, and the first mammals began to appear. Many scientists note that, 21 the asteroid had a major impact, the Earth's climate had already scientists claim that mammals already on Earth before the asteroid might have 22 the extinction begun to change. The planet was cooling, and the colder temperatures were likely killing plants. Some by eating dinosaur eggs. We may never know for certain what caused the extinction of the dinosaurs. But it was most likely the result of a combination of the asteroid, colder climates, and egg-stealing mammals 23 the single event of the asteroid hitting the Earth. 2024年度 全学 Casey Malarcher et al., Reading for the Real World 1, Second edition When ② 19 What 3 Who 4 How came ② carried 20 3 crashed 4 burst 21 while once 3 unless 4 yet 22 ① governed obstructed 3 facilitated 4 united 23 1 other than rather than ③ except for 4 owing to

1枚目の写真のTask1を参考に Task2でメールの返信を考える問題です🙇‍♀️ 2枚目に私が書いたものがあるので文法や単語ミスがないか添削してほしいです 3枚目に評価する時に先生がよく見てるところを貼ってるので参考にしていただけると幸いです すみませんがよろしくお願いし... 続きを読む

Task 1 Read the ad below. Underline the qualities that Jenna is looking for in a roommate. NEED A RESPONSIBLE ROOMMATE I'm a 20-year old female history student at CUNY. I'm looking for a tidy and friendly roommate to share a two-bedroom apartment near the university. The apartment has furniture, Internet, and cable TV. We'll share a bathroom and a living room. The available bedroom is large. The rent is $300 a month. The perfect roommate would also be a student. I have a small dog, so you have to like dogs. I also can't take any other pets. If you are a smoker, you MUST smoke on the balcony. I get along well with creative and knowledgeable people. I'm pretty talkative and would be happy to live with a similar person. Please send me an e-mail (jennabusybee@cunyemail.edu) and tell me about yourself. I would like to hear about your studies, personality, and why you would make a good roommate. Jenna Task 2 (00 Write an e-mail to Jenna (80-120 words). Tell her about yourself. The phrases below may help. responsible tidy knowageable pay the rent on time/clean up after myself all the time / know a lot of things / like to have a good conversation/your own description カンバセイション Creative, friendly TITELK

1枚目の写真のTask1を参考に Task2でメールの返信を考える問題です🙇‍♀️ 2枚目に私が書いたものがあるので文法や単語ミスがないか添削してほしいです 3枚目に評価する時に先生がよく見てるところを貼ってるので参考にしていただけると幸いです すみませんがよろしくお願いし... 続きを読む

1 トレーナー 広告 You are a trainer. Read the ad and think about how you can help Dan. Write some notes on the right. WANTED: Personal Trainer I'm looking for someone to help me lose weight. I also want to get back (46) in shape again, I'm so busy that I can't make time for exercise. I haven't exercised in a few years and I'm really packing on the pounds. I need somebody to motivate me. Do you have any advice? The job is part-time, three days a week. You can contact me by e-mail at dan@sterlingarcher.com. I'm looking forward to hearing from you! Dan I Why are you the best? I've been a trainer for 5 years and am familiar with diets. How will you change his diet and exercise program? e eat food that are high in protein. • walk (0 minutes every day on an empty stomach Avoid fried food eat something that fills you up 腹もらいいもの Task 2 Reply to Dan's ad (80-120 words). Include some of the words and phrases below. concentrate on nutrition / go on a diet / low in fat / small portions / current weight / get daily exercise/ work out at home/accompany / take a run in the park

１枚目の写真のTask1を参考にTask2でメールの返信を考える問題です。 ２枚目に私が書いたものがあるので文法や単語ミスがないか添削してほしいです🙇‍♀️ ３枚目に評価する時に先生がよく見てるところを貼ってるので参考にしていただけると幸いです すみませんがよろしくお願い... 続きを読む

Task 1 Read the announcement below and take some notes. Attention all Students! G A study abroad scholarship is available Kla 011273 for next year. It will cover fees and $12,000 in living expenses each year for 27012-2016 HE のどこの大学でも a two-year course at any university in 001873 ひがみかく the U.S. Students can apply by writing a letter to introduce themselves. The letter will include: 1. Why they need the scholarship pay for my tuition here. Why do you need the money? 478401 ↑ I barely have enough money to 1. 2. I'm concerned about running up too Support myse (How much. many) debt デット How will you use the money? 1. rent groceries 2. The deadline is June 23rd. 2. How they plan to use the money しめきり 3. transportation Task 2 Write a letter applying for the scholarship (80-120 words). Use some of the words and phrases in th box below. barely have enough money/ concerned about / running up debt / keep a tight budget / necessities/ rent/groceries/transportation

答えあっていますか😭

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。 1. Neither Michael nor his co-workers ( ) aware of the mistake. At Bt ~THI Dare A B 2 be 2. Either George or Henry ( A B cancelled because of the 3 being 4 is 〈福岡大〉 ) planning to go to the meeting this afternoon, but it has been storm. AかBのどちらか were <京都産業大〉 激しい両 ①1 are 2 is 3) was 3. Taro as well as his brothers ( ) to blame. だけでなくAも 責める 1. ①are 2 is (3) were 4 have <愛知産業大 〉 4. As you can see, not only the chairs but also the large table ( 2. ①are selling ②sell ) today. By T&C AE 3 was sold 4 have sold 〈城西大〉 5. Most of the people (I met) ) friendly. most of AAのほとんど 3. ①her 2 them (3) was were 〈広島女学院大 > ③ have 1 has be has been 6. So far, a quarter of the students ( 今まで 4分の1の生徒 are completed 3 have completed 7. There ( 〈広島女学院大 〉 ⑥e AAが存在する ) peace in the region for six years. There be A have been ) their reports. 2 has completed 4 is completed 〈千葉商科大 〉 I have be

解説付きで解答お願いします🙏

集合と命題 問題演習 )組( ) 番 名前 ( 1. 次の集合を要素を書き並べて表し, 集合 A, B の間に成り立つ関係を, 記号, を用 いて表せ。 (1) A= {3-1-1≦ 5, は整数) B=[6m+210SS, は整数) (2) A={3(-1)|-1≤n3. は整数) B={(2x+1)² (z+2) | z=0, 1,2,3} COACB. (2) A=B 2.1から10までの自然数全体の集合をひとするとき, ひの部分集合 A= (2, 4, 6, 8, 10), B (3,689) について、次の集合を求めよ。 (1) AnB AB=2.4.10} (2) AUB (3) AU 8.次の の中は、 「必要条件であるが十分条件ではない」 「十分条件であるが必要 条件ではない」「必要十分条件である」 「必要条件でも十分条件でもない」 のうち, それぞれどれが適するか。 ただし、は実数a, は整数とする。 (1) >0は2z-11であるための (2) 四角形ABCD において、 AB=BC=CD=DAであることは、四角形ABCD が正方 形であるための A- B (3)がともに奇数であることは、 b が奇数であるための AVB-{1.5.7} AUB-2 9.は自然数とする。 2-1が8の倍数でないならば, "は偶数であることを証明せよ。 3.は実数とする。 集合を用いて、 次の命題の真偽を調べよ。 (1) x 2 ならば-3<ェ<3 (2)-1ならばx>1 4.z, yは実数とする。 次の条件の否定を述べよ。 (1) 2 = 0 または2=0 5.次の (2) z-y=0かつ-1 の中は, 「必要条件であるが十分条件ではない」, 「十分条件であるが必要 条件ではない」, 「必要十分条件である」 のうち,それぞれどれが適するか。 ただし, a, by は実数とする。 (1)a2+b22ab は a=b であるための (2) z=3かつy=4はry=12であるための (3) α 2+62 = 0 は a = b = 0 であるための 10.2 つの整数a, bに関する次の命題は正しいかどうか判定し, それが正しいときは証明 し, 正しくないときは反例を1つあげよ。 (1) 2 +62 が3の倍数ならば, a, b はともに3の倍数である。 (2) a+b2 が5の倍数ならば, a はともに5の倍数である。 (1)+bが3の倍数でないならばa.bはとに3の倍数ではないと 11.a, b, c は整数とする。 次の問いに答えよ。 (1) a, b がともに奇数であるとき, +62 は4の倍数ではないことを証明せよ。 6.z, y は実数とする。 次の命題の逆と対偶を示し, それぞれの真偽を調べよ。 (1)(x-1)(x-2)=0 「z=1または y=2」 (2) 「z+y<0 かつy>0」⇒ 「æ <0 または g < 0」 (2)'+b2c2が成り立つとき, a,bのどちらか一方は偶数であることを証明せよ。 だし, 整数nについて,” が偶数ならばは偶数であることを用いてよい。 7.x, y, a, b は実数とする。 次の命題を証明せよ。 (1) (1)⇒ 「z = 0 または 1」 (2) a+b2≠0 「a+b≠0 または ab≠0」

答え合わせと正しい解答をお願いします！ Dの問題、全く分かりませんでした、、

Part1まとめの問題 (7) 私が空港に着いた時にはアンジェリカはすでにベルリンへ発っていた。 Angelica (has) airport. has already) ( Leff) for Berlin before I arrived at the (8) 出勤する時にこの手紙を出してくれませんか。 Would you ( (:be "senf) this letter when you go to work? 次の英文を[]内の指示に従って書き換えましょう。 (1) Kaori went to Paris and she isn't here now. [完了形を用いてほぼ同じ内容を表す文に] (2) The scientists carried out the experiment in 2022. 〔下線部を主語にした受動態に] The experiment was carried out by scientists in 2022 (3) You are tired after all that walking. [助動詞を使って話し手の確信のある推量に] (4) This is the book. I told you about it yesterday. [関係詞を用いて文に] This is the book which I told you about it yesterday. (5) The man made his daughter a wooden toy. [「誰に」 と相手を強調する文に] 次の各文の )に入る最も適切な語句を選択肢から1つ選びましょう。 (1) After the musical ( ), the audience began to leave the theater. have ended 2 end (2) Several guests at the restaurant complained about ( yesterday. 3 had ended 4 has been ended ) cold food having served ) can be the evidence of his crime. 3 who 4 where ①to be served 2 being served served (3) I cannot think of anything ( ①when 2 that (4) This ancient pine tree ( ) because of climate change. has death (5) The girl ( ①dance (6) Most of the items in this room are items ( how has dying 2 is dying 3 is died ) with John is Keily's sister. 2 dances ③3 dancing 4 danced ) I cannot do without. 4 those 2 what (7) This is the community center ( 2 when ①where ③ that ) I learned classical Japanese dance. 3 which 4 whom