（2）で、なぜ9＋3になるのかが分かりません。教えてくださいよろしくお願いします

●7 重複組合せ A,B,C,D の4種類の缶詰を合わせて9個買うとき, (1) それぞれの缶詰を少なくとも1個は買う場合,買い方は何通りあるか. (2) 買わない缶詰の種類があってもよい場合, 買い方は何通りあるか. 種類ごとにまとめて並べる ← (産業能率大) 理するとしたら、多くの人が「左から A,B,C,D の順に、同じ種類の缶詰をまとめて並べる」とする 同じ買い方か違う買い方かが一目でわかるように(買った缶詰を)整 のではないか.例えば,Aを3個, Bを4個 Cを1個,Dを1個ならAAABBBBCDとなる.そして, この文字列は, AとBの境,BとCの境, C とDの境が決まれば決まる (復元できる). 000100001010 つまり右のように A~Dを〇境を仕切りで表せば,9個の○と3個のの並びと対応する. (1)は,仕切りが両端にはなく,かつ隣り合わない。 (2) は並び順は自由である.このような○と の並べ方の総数を求める. 解答圜 (1) ○を9個並べておき,○の間 (図の1)8か所 から異なる3か所を選んで仕切りを入れる. 仕切り で区切られた 4か所の○の個数を左から順に A, B, C,D の個数とすると,どの場所にも○は1個以上あ るので題意の買い方と対応する. よって, 求める場合 AAABBBBCD ↑↑↑ |0|000 A B C D 8・7・6 3.2 =56(通り) の数は仕切りの位置の選び方と同じで, 8C3= (2) ○を9個, を3個, 横一列に自由に並べ、 個数 (○がないところは0個) を左から順に A, B, C, D の個数とする. この並べ方と題意の買い方は 対応するから,求める場合の数は, 9+3C3= 9+3つ で区切られた4か所の○の 000||000000 A B C D 12-11-10 =220 (通り) 3・2 ■(2)で,各缶詰を1個ずつ余分に買うとすると, 合わせて13個, 各1個以上な ので (1) と同様にできる (式も 12C3となる). 逆に (1) を各缶詰を1個ずつ減ら して(2)のように解いてもよい。 □Aをx個, Bをy個, Cを2個, Dをw個買うとすると, x+y+z+w=9で, (1)はxwが1以上, (2) は x~w が0以上である. このような~w の組の 個数を求めたことになる. p.25のミニ講座も参照. 買い方を決めれば仕切りの位置 が決まる。仕切りの位置が違え ば違う買い方と対応する。 07 演習題(解答は p.21) 2008 は,各位の数字の和が10になる4桁の自然数である。 (実際に2008 の各位の数字 の和は2+0+0+8=10である.) このように, 各位の数字の和が10になる4桁の自然数 は全部で 個ある. x+y+z+w=10だが

東進の確認テストの問題です。回答解説を簡単でいいのでお願いします。

13:19 問1 次の文章を読み、 問いに答えよ。 .ill 4G 20 フェノールの工業的製法であるクメン法は、 ベンゼンを出発原料とする以下の3 段階の反応により構成される。 まず,ベンゼンとAの混合物に触媒を作用させるこ とでクメンBを合成する (式1)。 続いてBに酸素と触媒を加えることでCとし たのち (式 2), これに D を触媒として加えて分解反応を行うと、フェノールなら びにE が得られる (式3)。 触媒 + A B・ 触媒 B + 02 C D (触媒) OH C + E (式1) (式2) (式3) (1) 化合物 A, B, C, E の構造式を,次の①~④のうちから一つずつ選べ。 A: 1 B: 2 C: 3 E: 4 ① H3C-C-CH3 CH3-CH=CH2 CH3-CH-CH3 O-OH H₂C-C-CH3 (2) D の名称を,次の①~④のうちから一つ選べ。 5 ① 水酸化ナトリウム水溶液 ②硫酸 ③塩酸 ④ 混酸 (3) 次の①~⑤の記述のうち, 正しいものを二つ選べ。 6 7 ① 化合物B の構造異性体のうち、ベンゼン環を含むものはBの他に8つある。 ② 化合物E は,化合物の酸化によっても合成が可能である。 化合物Eに水酸化ナトリウム水溶液とヨウ素を作用させると、酢酸の塩が生 じる。 ④ 酢酸カルシウムを乾留すると. 化合物E が生じる。 ⑤ フェノールに室温で希硝酸を作用させると, 爆薬として知られる化合物が生 じる。 (4) クメン法とは異なる方法で, ベンゼンからフェノールを合成したい。 図に示す 反応剤 (a)~(c)にあてはまるものを, 下の①~③のうちから一つずつ選べ。 (a): 8 (b): 9 (c) : 10 (a) (b) (c) OH Y → ① HNO3, H2SO4 ② NaOH 水溶液 (室温) ④ 濃 H2SO4 ⑤ Sn, 塩酸 ③ NaOH 水溶液 (高温, 高圧) ⑥ CO2, H2O ⑦ Clz, Fe ⑧ 02 (各10点×10)

どれが当てはまるか教えてください

on the Matching for Understanding Choose the expression on the right that means the same as the word on the left, as it is used in the text. 1. lungs 2. disease 3. preventable 4. poison ( ) a. to draw air/smoke into the lungs ( ) b. lacking good sense or judgment ) ( c. organs inside the chest for breathing d. small part remaining after smoking 5. cigarette butts ( ) e. well-considered action or judgment 6. litter 7. rate ) ( ) ) 8. second-hand ( ) 9. addiction 10. inhale 11. vicious cycle 12. ill (illness) 13. breathe 14. foolish 5. wise ( ) f. solving a problem leads to a new one g. amount or level of something h. able to be stopped from happening i. taking air in/out of body with the lungs j. rubbish left lying around outside k. something that has already been used ) I. unable to give up using harmful things m. substance that harms or kills people n. illness caused by bacteria or other germs ( ) o. being in an abnormal state of poor health

四角の2について 青い線を弾きましたが、なぜ英国を1とするのでしょうか？

2 0.58倍 〇 0.94 倍 19.8% 【OECD 諸国におけるハイテク産業別輸出額占有率(2003年)】 6.0% 7.4% 1 (ドル) 全製造業合計 14.3% 15.1% 47.4% 4兆5,642億 日本 米国 6.6% 11.5% 11.4% 8.4% ドイツ 全ハイテク産業 20.4% 41.6% 1兆1,417億 フランス 1.5% 英国 航空宇宙産業 33.7% 14.9% 14.7% 17.5% 17.7% 1,513億 その他 4.3% 9.3% 1 5.6% 電子機器 19.0% 19.8% 42.0% 3,780億 3.3% 11.5% 9.3% 1 7.6% 事務機器・ 19.5% 48.8% 電子計算機 2,101億 2.1% 9.4% 1 9.9% 医薬品 12.2% 56.2% 2,028億 L 10.2% 医用・精密・ 5.6% 6.2% 光学機器等 13.9% 22.8% 15.0% 36.5% (『平成18年版 科学技術白書文 部科学省) 日本の全ハイテク産業の輸出額は、英国の全ハイテク産業の輸出額と比べて、およそ 注:輸出額はドル換算されている。 資料: OECD 「Main Science and Technology Indicators」、 「STAN Database」 1,995億 2

分からないので教えて欲しいです🙇‍♀️

Entrance Exam 否定表現 1. almost 2. I( 1()に入れる最も適切な語句を1~4から選びなさい。 1. I don't think David would make a good leader because he can ( difficult circumstances and tends to give up too quickly. 2. extremely 3. hardly ) go to karaoke, I go only once or twice a year. ) be expected to act honorably in 4. neither (明治大) (芝浦工業大 4. never 1. often 3. Unfortunately, ( seldom ) of the 1. a few 2. few 3. ever passengers escaped injury. 3. many (大阪学院大 推) 4. much 4. ( ) children are born with musical talent. (日本大) 1. none of 2. not all. 3. not every 4. no one 5. ( 2. No 1. as far as 2. far from ) of the workers accepted the director's proposal to cut bonuses. 1. Not 6. The future of English society looked ( 7. I didn't like the food at that restaurant. It was (. (東海大 3. Never ) promising in the 1840s. None (立命館大) 3. for far 4. too far ) delicious. (福岡大) 1. anything but 2. nothing but 3. without 4. out of 8. He was so drunk that he could ( ) walk. (大阪学院大) 9. 1. all 1. able 2. unable This train doesn't stop at ( a few 3. hard 4. hardly ) station. 大阪商業大推) 2. 3. little 4. every 2. few 12. " Can 10. The latest model of this mobile phone is ( 1. not seldom 3. all not 11. Before I watched the documentary, I knew ( 1. little à you come to the party tonight?" "( 1. Yes, I can ) easy to use. (獨協大) 2. not necessarily 4. ever not 3. seldom ) about life under the sea. 4. hardly (東京工科大) ). I have a lot of homework." (拓殖大) 2. Yes, I do 3. No, I'm afraid not 13. Japan has ( 1. a little 2. few 4. No, I hope not ) oil and therefore is almost entirely dependent on imports. (センター) 3. little 4. small

英検準1級のライティングです。 どなたでも構いません。添削をお願いしたいです！何を書いているか分からなければ、聞いてもらって全然大丈夫です。ていうか、読んだだけでは、全く理解できないと思います。 近日中に受けるので、明日の夕方頃までにお願いします🙏

Write an essay on the given TOPIC. Use TWO of the POINTS below to support your answer. Structure: introduction, main body, and conclusion Suggested length: 120-150 words TOPIC Do you think that gas-powered cars will be replaced by electric cars in the near future? 電時の排出 POINTS 走行エネルギーの asse). Environment Convenience #1124-Kat #veg Cost Industry 高速産 ・充電せった コストが高い 産業限られた 短いきが しが ・使用者が買いかえようとは 思わない 2:33. 1 充電スペースの 2015 3. cars will be replaced by electric cars I do not think that gas-powered opinion. in the near future, I have two reasons to support this One reason is that it may be not convenient for people to drive electric cars in these days society. For example, electric cars take more time to charge than gas-powered cars. Moreover, electric cars can run few distance. Onother reason is that electric cars cost a lot of money in the many situation. For example, people who use electric, cars usually sex charging places at the each houses, but they have to pay so much cash to do it, Also, they need to prepare too much money every month to charge electric Propte cash, For these reasons above, I believe that gas-powered cars will be replaced by electric cars in the near future. total: 179 words

わからないので答えを教えてもらいたいです。

英語 Amy: Hey Jake, I was thinking about online shopping this weekend. Do you shop online often? Jake: Yeah, I do it quite a bit. It's so ( house and you can ( ) almost anything online. That's true. I love the convenience, too, especially with a busy schedule. But I've heard there are some downsides to it. What do you think? Well, one obvious downside is not being able to ( ) or try the product before buying. Sometimes, what you see on the website isn't exactly what you get. Amy: Yeah, that's a good point. I've had a couple of instances where the color or size was ) from what I expected. ( Another thing is the shipping time. Even with express shipping, you might have to ( ) a few days for your stuff to arrive. It's not great if you need Amy: Jake: Jake: Amy: Amy: Jake: Jake: Jake: something urgently. True, waiting can be frustrating. But what about the ( that sometimes the prices are higher online. It depends. I've found some great deals online, especially during sales. But you're right; in some cases, the prices can be a bit inflated, and you might end up paying more than if you bought it in-store. Amy: And returns can be a hassle, too. I had to return a shirt once, and the process took forever. It's not as easy as just going to a store and returning it on the spot. Yeah, returns can be a pain. Also, there's the whole security issue. You must be careful about where you're buying from to avoid scams or stealing your ( ). Amy: Oh, definitely. I always make sure the website is secure before entering any payment details. 日本語 L ), you know? No need to leave the On the bright side, online ( ) can be super helpful. I always check them before making a purchase. It gives you an idea of the product's quality and whether it's worth the money. Amy: That's a good point. I do the same. It's like having the opinions of a bunch of friends who've already ( ) the product. Jake: Exactly. So, while there are some drawbacks, I think the ( ) of online shopping, like the convenience and variety, outweigh the ( ) for me. Yeah, I agree. It's all about finding a balance and being cautious about where and what you're buying. )? I've heard

この問題の（2）なのですが、固有空間が先生の答えと入れ替わってしまっています。 このまま計算しても問題ありませんか？

行列の対角化解答 1. (1) A= (2-2) 7 16 3 BgA(t) = (t-1) (t~4) 固有値入=1,4 BAHW (1:A) = span [ (1)] W (4:A) = span [ (²) dim W (1A) + dim W (4:A)` /+/ 2 Aは対角化可能 P = ( ₁² ) etice P²= (72) PAP = (14) (2) A = ( -30 A = ( 13² - 12) 5-12 B\\ J₁ (t) = (t+2)(t−3) 固有値入=12,3 DAGH W(-2A) = span [(?)] W(3;A) = span [ (³)] din W (2=A) + dim W(3=A) /+/ 2 3. A FÁE 2 3 P= ( ² ; ) Lack P²= (^_^) とおくと (713) PAP (3) = A = 20 (23) 03 (4) 2-12 BþÑÃI) JA (†) = (t+1) (t-1)² 固有値入=-1,1 222-1. dim W(-1A) + dim W(1-A) = / +/ = 2 < 3 W(-1: A) = span [ (+;)] W(1=A) = span [(!)] ・Aは対角化可能でない A = 6 342 -8-4-3 固有多項式gA(t)=(りる 固有値入=1, 3 2

英検　準ニ級　リーディングの添削お願いします 問題文は. Do you think it is better for students to study alone or in a group? です

No. 30 I have First 9 Second 2 For 1 think it is Study alone. a Two reasons. better for students 7 to <第 It is important for students teach can to or in a group. Because They 11 is fun because, talk with these each other. <第 understand. reasons, I think it is te to study alene many people. better for students or in a group. ERETICO'c 式 短期留学帰国 冬期補習(~27) ・啓成プレ (3年

至急お願いいたします🚨 生物の質問です。 ミトコンドリアの経路についての説明だと思うのですが、電子オーバーフローモデルと電子分布モデルの違いを教えていただきたいです。 また、どういう仕組みなのか、何故このように電子が流れるのかも教えていただきたいです。 UQ poolはユ... 続きを読む

(A) Electron overflow model (considered out-of-date) Alt UQ pool Alternative oxidase inactive. Alt No alternative pathway activity Cytochrome pathway unsaturated Cyt (B) Electron distribution model (reflects current thinking) UQ pool Cyt Alternative pathway active Cytochrome pathway saturated Alt Alternative oxidase active Alt UQ pool Cyt Cyt Figure 14.33 Two models for regulation of electron flow through the alternative oxidase. (A) In the electron overflow model, no appreciable electron transfer through the alternative pathway takes place until electron flow through the cytochrome pathway is at or near satu- ration. This could result from the effects of respirato- ry control, if the rate of mitochondrial ATP produc- tion exceeds its rate of utilization in the cytosol, or from some externally imposed stress, such as low temperature. Under such circumstances, the UQ pool becomes sufficiently reduced to allow electrons to flow through the alternative oxidase, the latter re- quiring that the UQ pool be 40% to 60% reduced to attain significant activity. (B) In the electron distribu- tion model, the alternative and cytochrome path- ways both show significant activity at low levels of UQ pool reduction, and electrons are distributed be- tween the two pathways on the basis of the relative activities of each pathway. The activity of the alter- native oxidase under these circumstances is thought to be regulated by the action of a-keto acids and by reduction/oxidation of the intermolecular disulfide bond, as well as by additional regulatory mecha- nisms not yet characterized.