丸のついたandについて質問です。andが結びつけているものは何かという問い対して、前後の二文全部だと思ったのですが、high~valueまででした。どういうことでしょうか？

By Theresa Cooper, Pittsburgh, PA 12 October 2019 2:14 PM Pittsburgh schools are considering switching from traditional paper textbooks to e-books within the next few years. In order to read their e-books, students will be required to buy tablets at reduced prices from the school district. This policy would affect junior and high school students over the age of 12. The head of the Pittsburgh school district, Evan Ng, said, "We're trying to stay up to date with technology. We've also had many complaints about the high cost and low resale value of textbooks over the years, and buying a single low-cost tablet will save families hundreds of dollars within 2 years." He went on to say, "Furthermore, this will help students avoid back problems that can arise from carrying heavy textbooks around in their backpacks all day." (5) Patrick Roth said, "All this technology is starting to get out of hand. Don't students already spend enough time looking at screens? This seems like it could harm their vision." One HT (Clayton Thebe parent suggested, "Even with restrictions, these tablets will be just another distraction for the kids. My kids already have trouble finishing their homework as it is." 43 Comments bnoga (1) B Newest Jeill IT

数2です。 係数が虚数の二次方程式の問題です。解と係数との関係を使って解きたいのですが、上手く出来ませんでした… どこが間違っているのか教えて欲しいです！

例題 30 係数に虚数を含む2次方程式の実数解 kを実数とする。xの2次方程式 (1+i)x+(k + 3i)x +6 +2ki = 0 が実 数解をもつときkの値、およびこの方程式の解を求めよ。 思考プロセ 係数に虚数を含む2次方程式では,「実数解をもつ⇔D≧0」としてはいけない。 例 2次方程式xix=0 は、x(x-i) = 0 より x = 0, i ← 実数解をもつ ところが D = (− i)² = −1 <0

間違っている文があったら訂正していただきたいです！！（明日の英検の面接で使える表現を考えていて、できれば至急お願いしたいです、！) 日本は高齢化が進んでいるからだ This is because Japan is an aging society. 政府は経済支援を行うべ... 続きを読む

選択肢問題です 初歩的な問題ですが…解答を教えて頂きたいです🙇‍♂️

1. Please use the copy machine on the second floor broken. (A) since (B) because of (C) due to (D) so 2. Sena Corporation offers there. (A) attract (B) attraction (C) attractively (D) attractive 3. Mr. Poole, the CEO, visits our office and factory (A) regularly (B) regular (C) regularity (D) regulate salaries so a lot of people apply for positions 4. Please make copies of the documents and deliver (A) it (B) they (C) she (D) them the one on this floor is 5. Ms. Garland says this sofa is very (A) comfortably (B) comfortable (C) comfort (a) (D) comforts A B C D but it is too expensive. A B C D (A) B C D to Ms. Lu's office. A B C D A B C

(4)を訳したいのですが、文構造が分からずうまく訳せません、。どなたか解説をお願いします。

lo One fast-food company is well known in Japan for its extensive worker manual and the sales talk it covers. From the book, workers learn how to greet a customer, how to bow, how to take an order, pack a bag and give correct change. 5 Customers find the same nice service in all the franchised outlets, which contributes to both customer satisfaction and *corporate profits. One day, a mother came into one of these restaurants, and while she was ordering at the counter, her baby grabbed an 10 employee's hat and began to play with it. He was surprised and embarrassed. He could not concentrate on what the customer (2) was saying and had to ask her to repeat her order twice. He knew he was losing his dignity as a company representative by having an infant tearing up part of his uniform, and he wanted to 15 take it back, but at the same time he didn't know what to say or do. He stood there ( 3 ) until the mother *retrieved the hat and gave it back to him. He put it on again, resumed his normal calm attitude, and took her order efficiently as if nothing had happened. But everyone in the restaurant could see that a 20 one-year-old child had the power to bring the operation to a halt and must have wondered about it. What was the problem here? Simply put, the manual, detailed as it may be, fails to cover what to do in a situation where a young child steals part of your uniform. And without the manual to guide his behavior, the employee was lost. This is a trivial example of a very serious problem in Japan: the inability to 48

何故この丸で囲ってある答えになるのか教えてください🙏

般項を求めよ。 ②1 = 4, @m+1=3an+2" (n=1, 2, 3, ...) で定められた数列{anの 思考プロセス 「既知の問題に帰着 定数にしたい an+1=3a+2" 漸化式 an+1= 3an 2+1 Ax+1 2+1 an+1 2 結局2"で割った 3 Action》 漸化式 an+1=pan+g" は,両辺をQで割れ 2015 b an 2" ① は, α = + とおくと bn 2" で割る 3 34+2" の両辺を2"+1で割ると 2" より 2"+1 += pan+q 型にしたい。 a+ bn+1+1= -1 より an = 3" bn+1 の等比数列であるから bn+1=3 3" 2²-1 an+1 3n+1 3" bn = am =3· +1 = 1 を満たす α = -1 を用いて変形す 2 ると (bn+1) a1 よって,数列{bn+1} は初項 bı +1 = 0 +1 = 3,公比 n-1 3 とおくと n≧2のとき, 61 an+1 3 an 2n+1 2 2" 3 bn + bn (別解) 漸化式 an+1=3an+2" の両辺を3+1で割ると n an 2 3 + 1/3 - ( ²3 ) " bn+1-bn a1 3 もう1度 2で割る 2 = an=2"bn=23"-2" n = + ( - 3 n+1 ・① = 3n 22-1 n 1/18(1/31) であるから k n -)* = 2 - (-²/3)^² an+ n=1 を代入すると14/08 となり, bıに一致する。 3 よって an=3".bn=2.3"-2" 2²² +1 bn+x 3-2 (2+1 = 2.2 より 3an 2+1 22 2+1 = bn 30/210/2 特性方程式 bn 5/8 b₁ = 42 = 2 1 = より an 2" an=2".bn k=1 5 Lan+1= panto をp+1で割っ こともできる。 は It ・項数 3' 数列の和

数学数列　 画像の四角で囲ったところのように変形するのはありですか？無しであればその理由を教えてください。

「つ」 306 308 数学的帰納法 〔3〕 ... 不等式の証明(2) 4以上の整数とするとき, 数学的帰納法を用いて次の不等式を証明せよ。 2" <n! 自然数nについての等式、不等式の証明は数学的帰納法を考える。 味の言い換え [1] n=4のときに ① が成り立つことを示す。 ( ① の左辺) (①の右辺) [2] 「n=kのときに ① が成り立つと仮定すると, n=k+1 のときにも ① が成り立つ」 ことを示す。 n=kのときの不等式 2 < h! が成り立つと仮定。 ⇒n=k+1のとき n=4 をそれぞれに代入して (左辺) (右辺) を示す。 (k+1)! -2k+1 = (k+1)k!-2k+1 > (k+1)-2+1 = ... > 0 仮定の利用 <<Action 数学的帰納法では,n=k+1 のときの式の複雑な部分に仮定の式を用いよ [1] n=4のとき (左辺) = 24 = 16, (右辺)=4!= 24 左辺) (右辺)であり, ① はn=4のとき成り立つ。 [2] n=k(k≧4) のとき, ① が成り立つと仮定すると 2<k! n=k+1 のとき (右辺) (左辺) (k+1)! - 2k+1 = = (k+ 1)k! - 2k+1 > (k+1)22k +1 =2^{(k+1)-2} k≧4であるから nは4以上の整数である。 =2(k-1) 2^(k-1)>0 2k+1 < (k+1)! よって ゆえに, ① は n =k+1 のときも成り立つ。 [1],[2] より,4以上のすべての整数nに対して成 り立つ。 4以上の整数について命 題が成り立つことを証明 する場合は,まず [1] と してn=4のとき成り 立つことを示す。 特訓 2 例題 306 (右辺) (左辺) > 0 を示 す。 仮定した不等式を用いる ためにk! をつくる｡ (k+₁) £! - (2² > (E11) 21-1-2 (7-1) £! 308nが4以上の整数とするとき, 次の不等式を証明せよ。 3n > n³ ... 1 6章 化式と数学的帰納法 条件 k≧4 を忘れないよ うにする｡ 18 (宇都宮大) p.519 問題308 509

今日中には解決したいです🙇 3点が一直線上にあることを示す問題です。 写真の青色のとこなんですが…　 同じことですよね…？？テストとかでも一応正解にはなりますよね。。

ld と辺 D 平行四辺形ABCDの対角線BD を1:2に内分する E 辺BCの中点をFとすると, 3点A, E, F は一直線上にあることを示せ。 RIER 2 B IAE を AB, AD で表す。 IB = b, AD = d とおく。 点Eは対角線BD を 1:2に内分す る点であるから AE 2AB + AD 3 26+d 3 ACTION 一直線上の3点A,B,Cは, AC=kAB となることを用いよ 3点A,B,Cが一直線上にある ... 1 点F は辺BCの中点であるから AF AC = AB+AD より AF AB+(AB+AD) 2 2b+d 2 AF を AB, AD で表す。 B = 2AB + AD 2 E ① ② より AF-AE よって、3点A, E, F は一直線上にある。 F AB + AC 2 AE² = = = = AF AC=kAB を満たす実数んが存在する す # E D としてもOK? # B B F + C D 3AF=kAE (0) を示 す。 点Aを基準点とする。 AE=KAFとなるKが存在する ことを示す ①より 3AE = 26+d ② より 2AF = 26+d よって 2AF3AE

高校英語 高二 赤線のWhereってどういう意味ですか？ どんな文法かも教えて欲しいです！

5 20 Joe was a 21-year-old college student and loved traveling. He had already been part-time and saved money during the semesters. Once vacation started, he went to a number of places, and wanted to visit as many places as possible. He worked something?" one of his interesting on a trip somewhere. "Do you want to be a travel writer or friends asked him. Joe answered, "I don't know. Maybe that's an occupation, but I'm thinking of going into journalism. Anyway, the travel experiences will benefit me in any career I choose, I think." One day, Joe was on another trip. He was excited because he had always wanted to travel to that country. There were a lot of interesting places to see, and he had made a detailed plan for the trip. He didn't want to miss anything. That day, he was going to Pendelton, where he was going to catch another bus to go on to Belleview. There were some famous ruins there, and he really wanted to see them. When Joe was waiting for the bus for Pendelton, he met a young local man. He was having trouble with his motorcycle. When he saw Joe, he came up to him and 15 said, "Excuse me, do you know anything about motorcycles?" "What's wrong?" Joe asked. "The engine suddenly stopped, and I don't know what to do." 10 5 In fact, Joe had often fixed his own motorcycle. However, he had to think for a second, because his bus was due to arrive in a few minutes. "Well, let's see if I can help you," said Joe, and he got down to working on the motorcycle. Fifteen minutes later, the engine started again. The bus for Pendelton had left. "Thank you," the young man said. "No problem, I'm glad I could help," replied Joe. The man held out his hand and said, "Hi, I'm Patrick. If it's OK with you, I'd like to invite you to my house." Joe hesitated for a short while. The next bus was leaving in two hours, which was the last one for Pendelton. But Joe decided to accept Patrick's offer. 3

数１の問題です （1）で「√２が無理数であることに矛盾する」の後にb=0を導き出せるのかが分かります よろしくお願いします🙇

例題 55 背理法による証明 〔2〕即痛さも [2]] 思考のプロセス α, bを有理数とするとき、 次の問に答えよ。 ただし,√2が無理数であ ことを用いてもよい。 (1)a+6√2=0 ならば a = 0かつ6=0 であることを示せ。 α(1+√2)+b(2-√2)=4+√2 を満たす α, bの値を求めよ。 (2) (1) 「a+6√2=0」から直接「α = 0かつ6=0」 を導くのは難しい 背理法 目標の言い換え矛盾をどこから導くか? を用いることに注意すると 条件 「 √2=-1と変形して(無理数) = (有理数)となり矛盾」としたい。 ■ 「α≠ 0 または 60」を仮定する必要はなく、 「60」 を仮定するだけで十分。 Action » 結論が 「p かつα」の背理法は, (またはg) のみを仮定せよ 解(1) 6≠ 0 と仮定する。a+b√2=0 より √2 (2) a a,bが有理数であるから, -1 は有理数である。 b これは,√2が無理数であることに矛盾する。 よって b=0 これをa+6√2=0 に代入すると したがって, α, 6 が有理数のとき 2 = a=0 a +6√2=0 ならば α = 0 かつ b = 0 alld 1/0 ★☆ b 結論の一部 b=0 して矛盾を導く。 (有理数) ÷ (0 でない有 = (有 b = 0 のみを仮定 矛盾を導いたのであ ら,得られる結論 のみである。