類題20の[2]です。偶数は選んで小さい順に並べる、というのはわかりましたが、奇数の並べ方はなぜ5P3ではだめなのですか?選んで並べる、という手順で同じだと思うのですが…5C2+5P2=600通りではないのですか？

の目を られる 応関係 ■のを含 ■を考え ｢3つの モレなく1つずつ対応し合うとさ, フェリロ の要素が右のように1個ずつ線で結ばれるとき 集合Aと集合Bは1対1対応である といい,このとき, 集合Aの要素の個数と集合Bの要素の個数nとは当然一致し ます. すなわち n (A)=n (B)が成り立ちます. このように, 「1対1対応｣ とは集合どうしの関係として定められた用語です.ただ, 場合の数・確率の解答においていちいち集合を厳格に言い表すと長々しい文章になっ てしますから,今回の解答でも, ① のように 「集合」 という言葉を伏せて書きました. 参考3 「1対1対応」 を用いる有名な題材を, ITEM 23~ITEM 25 で扱います。 類題 20 [1] サイコロを4回投げるとき, 出た目を順にa, a2, 3, as とする. a <az <as <a を満たす組 (al, a2, α3, α4) の個数を求めよ. ② 1.2.3... 10の10枚のカードから偶数2枚と奇数3枚を選び、これら5枚を1列 [2] 1,2,3, に並べる. このとき, 2つの偶数が小さい方から順に並んでいるものは何通りあるか. (解答解答編 p. 6 ) 67: 素数

どなたかこの英文を訳してくださいm(_ _)m ㈠To complete your application, submit all of the following items on the To Do list below by 8 January 2023 (11:59... 続きを読む

空欄の単語が合っているかの確認をお願いします。

attack camouflage invisible indicate cared about sword cared about om the box. Two items are extra. died out techniques Sword techniques camoflage Perhaps the most famous martial arts experts in history were the ninjas of Japan. (1) other martial arts experts focus on just their (2) For example, apart from their main weapon, attack ,ninjas were experts at many things. the (3) - they also learned how to use many other kinds of (4) And, if they found themselves without a weapon, they could (5) a person with just about any object that was accessible to them. exhibits weapons Even though ninjas have almost entirely (9)_ died one There is even a museum in Japan that (10) ninja artifacts. impressive whereas skills of acting and talking like other people. They would Ninja warriors also had (6)_impressive dress and act like other people in order to gain access to secrets. This ability made them great spies. And after collecting the information they needed, ninjas could (7) indicate themselves and become almost (8) invisible in their environments. exhibies today, they are as popular as ever. tools, weapons, and other Review 16 20

1番のところの答えが欲しいです丸つけします🙇🏻‍♀️できるだけ早くお願いします

10 15 3 experimenting with music. Scientists in an English university are They want to know what music makes customers spend money. What they did was to play different kinds of background music in a restaurant. They watched carefully and recorded what happened. They found that customers spent 22 pounds on average when However, if they played soft, classical music, customers spent over 24 pounds. That's 10 percent more! they played pop music. "According to our research, music does affect people's moods. Classical music makes customers feel rich and sophisticated," says 10 Dr. Adrian North from the University of Leicester. "They then buy luxury items, such as appetizers, desserts and coffee." Interestingly, if there was no background music, the customers spent only 21 pounds on average. They spent less because they skipped some of the luxury items. 5 レストランや喫茶店では音楽を流していますね。 あの音楽によって売上に変化はあるのでしょうか。 の科学者が実験を行いました。 その結果は... POINTS James Davis owns the restaurant where the scientists carried out the research. "Sometimes I play what I like, not what the customers like," he says. "After the research, I'll be more careful. I'll use less pop music! Classical music is what I should play." [東京家政大〕 ). ✓ fewer 7 no (5) In the future, James will play more ( 7 pop 1 jazz イギリス ). more scientist 科学者 experiment 実験をする ) music. customer 客 classical spend 使う on average 平均して ☐ 1 本文の内容に合うように,次の (1)~(5) の()に入る最も適切な語句をそれぞれア〜エか ら選びなさい。 (1) The scientists carried out the experiment in a ( 7 university restaurant concert hall (2) They played various kinds of ( 7 games 1 roles (3) Customers bought more ( 7 salads 1 desserts (4) Customers bought ( research 研究 affect 影響する sophisticated 高級な luxury ぜいたくな when they heard classical music. gifts I department store ) luxury items when there was no music. I bigger background music I musical instruments 29 I main courses 2 I rock アエ イ ウエオ 3 (1 0

（2）、（3）がわからないです。 2はそこには神社と寺がたくさんあるとあるのでwhereではないのですか？ 3もなぜwhichが入るかわかりません。 理解が遅いですが教えていただけると嬉しいです。

✓ 前の文を先行詞とする which 非制限用法のwhich には、先行詞が前の文の一部または前の文全体を 先行詞とする用法がある。 下の文では, which が前の Jane was on time this morning (ジェーンが今朝時間通りに来た)を受けて, それが 「みんなを驚 かせた」ことにつながっている。 Jane was on time this morning, which surprised everyone. (ジェーンは今朝時間通りに来たので、それはみんなを驚かせた) ✓チェック 33回 11/4, 10/24 8/31, 918 次の文の空所に入る適切な語(句) を下から選び,記号で答えなさい。 (1) M (1) My favorite book ( )I borrowed from the library, is about life in おりもこ Japan 100 years ago. ア what ア what 解答別冊 p.12 ウ that I if O (2) You had better visit Kyoto ( ) has many shrines and temples. 神社 イ which ウ where (静岡市立静岡看護専門学校・清水看護専門学校) イ which (3) We tend to think of him as unsociable, () is not the case. ~しがち 人づき合いか ア this イthat ウ which 苦手 エ whatedT (竹田看護専門学 10.05. (5) ( )you want, I'm happy to give it to you. C Sino an ア Whoever My brother;( ) you met here yesterday, wants to see you. ア that イ which ウ who 7even if 819 10/2 2-34 (島田市立看護専門学校 ) (6) I'd rather have a room of my own, () small it may be. ほしい however イ whatever (呉共済病院看護専門学 イ Whatever ウ Wherever I Whenever (鶴岡市立荘内看護専門 (愛仁会看護助産専 item 33 関係

空欄の単語が合っているかの確認をお願いします。

Cy B. Complete the passage with items from the box. One item is extra. mineral mineral The sand trails set off wipes out alternating blinding evaporates White Sands is a national park where people can walk over large dunes of what looks like white sand. The sand is actually formed from crystals of gypsum, a kind of (1) evaporates forms in a dry lake bed near the park where rain water collects and then (2) (3) Alternating hot, cold, dry, and wet weather breaks the crystals into a fine powder. If you visit this park, be sure to bring sunglasses. The sunlight on the white sand can be (4)_blinding set off through the park, sign on any of the (6) And before you (5)_ wipes out the guest book so the rangers know who is walking in the park.

加法定理です！ 基本165の問題が分からないことがあります。 αは鋭角であるから、と答えにあるのですが、鋭角と鈍角はどうやって見分けるのでしょうか？また、Sinα=‪√‬1-cos２乗αの式はどの公式をつかっているのでしょうか？ お願いしますm(_ _)m

27 加法定理 ① 正弦余弦の加法定理 ① sin (a+β)=sinacosβ+cosasin β ② sin (a-β)=sinacosβ-cos asin β 3 cos (a+8)=cos a cos B-sinasinß ④ cos (a-β)=cosacosβ+sinasin β 正接の加法定理 tana + tan B tan(a+8)=7 1-tanatan B 2直線のなす鋭角 x軸の正の部分から2直線y=mix ...... 図のようにα, βとすると 2直線①、②のなす角0 (0<0<^) [1] 0<α-B <1のとき 0=a-B 13 sin 1x, cos YA a (2) sing= 0 B 13 127, 4 ② tan (α-β)= π, ・①,y=mzx..... tang=m, tanβ=mz = 基本 163 加法定理を用いて, sin 165°, cos 165°tan 165°の値を求めよ。 13 π 3 19 基本 164 1/12=1/7/8/1/1 + 3 5 -π+- 3 12' 4 6 ミル tana-tan 1+tan atan B は次のようになる。 [2] <a-Bのとき 0=-(α-B) YA A 19 tan 12 の値を求めよ。 ITEM a B まで測った角を x であることを用いて, 基本 165αが鋭角, βが鈍角であるとき、次の値を求めよ。 (1) cos a=- sinβ=1のとき sin(a+B), cos(a+B) 1 3' 12 =1/13, cosB=- β= のとき sin(α-β), cos(α-B) 13 (3) tana=5, tanß=-3 M¿‡ tan(a+ß), tan (α-ß)

WORLDTALK2のLesson8Part3とPart4の右側のページGet the GistとPracticeを、教えてくれませんか？？

***** Get the Gist ①英文を聞いて文を完成しなさい。 ② その文が本文に一致していればTを, 誤っていればFを○で囲みなさい。 1070 1. The graduate students thought developing humanoid robots would ad to be useful for (01) (153 1) 1.6 ofu 2. The humanoid robot Takayuki's team created ( T/F ) (iv) in all other countries. 2015 enw 3. Halluc II is an innovative robot that can () ( T/F direction. LUSTASSUJUNEDASSH 「◆「~した後」 「~したので」 などの意味を表します。 Having finished his work, he went out for dinner. moitemtolai gaibranibabanoona ont of The is how she beglad glassny i Grammar 完了形の分詞構文 10W duidzi oflift wol ●「(以前に,それまで) ~したので,…..」=having + 過去分詞,S+V 23 Having worked with them for a while, he realized they each had しばらくの間彼らとともに働いたので recent wire their own specialty. of in Never having been there before, I couldn't find the building. 10 400 alid toqpd bloyaleT Lesson8 1109 Halluc IIの最新版 Halluc ) any 00 Ilx(ハルクツー・カイ) 主節の時制よりも 以前のことや、完了形の 意味合いを表すよ。 bumotà es teulasvil id ai olgong Practice [ ]内の語句を並べかえて、英文を完成しなさい。 (文頭にくる語も小文字で示してある。) 1.[read/the book / having ] I knew the story of the movie. 2. [ my wallet / lost / having ] in the train, I had to borrow some money to return home. 3. [ failed / in the exam harder. Mk.5は人工知能を搭載した小型 の二足歩行ロボット。 世界で初め て人間のようにスムーズで安定し た歩行を実現した T/F 1.8 having ] before, she decided she would study 00 111

数Ⅲ積分の質問です。 添付写真の(4)の問題について、 ちょうど改行された行の、log(2-x)はなぜマイナスになるのでしょうか？🙇‍♀️ 私は、+のままで良いのではないかと思ってしまっているのですが…！

соs лX+C 1 T COS*x+C. [sin 2x 0-0=0. - лx+C しまってもかまいま の微調整は、いつでも (tan)=-1 e tan+C x+C. tan 2 2 1/2 x dx Oxdx cos 1082)x+C -C. の指数関数はめった してに帰着して ましょう。 (log(x+1)dx = [(x + 1) log (x + 1) − (x+1)], = 2log 2-1. 〔補足 最後のカタマリにおける定数1 は書かない方がトクです. は、まだ公式 x-x+C 32 [1] [²(1-√x) dx +(3)R = f'(1-2√x+x) dx in 4 3 =3 e-(0²-1₁-²/(1-2x+1)dx -1-1+1=-3+2 -1 6 + 3x [2] √2x41dx 3√(-1/2) 2 2 2x+1/ [4] S²₁4²x² 関数 dx 2(x-log|2x+11) + C. [3] da -dx = f(x-1)(x+1)+1dx = f(x+1+1₁) dx _(x+1)² +log|x-1|+C. dx (20¹4-11 = 2√₁ (2+x)(2-x) dx 1 1 = 2√² + (2 + x + 2 = x) dx 4 log (2+x)-log (2- = 1/2 [1082²2+x] ...2 (log 3-log 1)=log 3. 2 注意 ①の段階で数値を代入しないこと. ② のように1つのlog にxを集めてから! [5] √√√x+√√x+2d²² -√√x + 2-√xdx* = 2-x)] - 5₁ (√x)² = 1 dx == = { } (x + 2)² = ² x ² + c = {(x + 2)² = x²} + C. 分子は [6] f/1dx (√x+1)(√x-1) = f'(1-√x) dx 有理化 2 -|×-² × ²³-1-3-1 =1- [7] *xx-3)*dx 代入すると =0 = {(x-3) + 3} (x-3)² dx* (x-3) x-3 だけで表す = {(x-3)³ + 3(x-3)²}) dx 3)² + (x − 3) ³] 4 = 4+2³=12. MO [補足] ○ 数学Ⅰ・A･Ⅱ・BITEM 75 でもほぼ同様 な計算を行いましたね. ○ 部分積分法でもできます. (→類題38 [2]) 32の解答 53

34〜41の答えを教えてください。

A long email from Japan arrived in the computer of Bill Perkins, who worked in an office in London. The message was from a company in Tokyo that Bill's company had just sent a large order to. Bill read it once and then once (注1) named Steve to read. Steve read it and also looked again, looked puzzled, and then gave it to a colleague" confused. The letter began by praising the English company. () It then mentioned that some goods had been damaged during shipping (2) to Japan, and then the letter happily 34 (v) This kind of letter may work well in Japan, 35 it is not very successful as international communication. The letter 36 the reader to read between the lines to understand the problem and to sympathize with the company. (5) Of course, it also wanted Bill and Steve's company to rectify the trouble. But the letter did not spell out (4) that message very 37 . So Bill and Steve were thinking of just ignoring it. But then they received more correspondence from the Japanese company, this time with a specific request for action. It was an hour later when a second letter arrived that contained 38 for the first confusing letter. It also stated the intent of the Japanese company concerning the damaged goods. They wanted the replacement items shipped as soon (25) would foot as possible with no charges. Bill and Steve were happy once again because their insurance company the bill 16), and the goods would arrive in about ten days. (2) The Japanese company didn't follow the standard international business pattern in its communication. But the English company was 39 , too, because they hadn't realized that there was a deeper meaning to the letter. Bill and Steve had only looked at the communication's surface. It seems to me that both sides could benefit from a seminar on international understanding. (1) colleague: (2) shipping: (**) * (注3) rectify: 対応する (注4) spell out : 詳しく述べる (5) insurance company (注6) foot the bill: 費用を払う t (Terry O'Brien et al. Simply Reading, Simply Writing NAN'UN-DO) 6