答えがないので分かる方確認していただきたいです🙇‍♂️ 16.B 17.D 18.D 19.A 20.A で合っていますか？

(C) adopt (D) adopts whether they should develop new financial products for next year. (C) considered (D) considering 16. The recently (A) adopting guidelines for budget allocations will be subject to review. (B) adopted 17. They are (A) consider (B) considers 18. We need to summarize the reports (A) publishing (B) published 19. At the interview last week, Mr. Coleman benefits. (A) informed 20. The ABC Store, (B) informing in this medical journal by next Tuesday. (C) publish (D) are published me about the starting salary and (C) was informed (D) to inform customers with a variety of useful products, has announced that they are opening stores abroad. (A) provided (B) is provided (C) provides (D) providing

40行目のForは接続詞として働いているのでしょうか？ それと、問2の答えの②が謝りな理由が分からないので教えて頂きたいです。よろしくお願いいたします。

-第 13 講 however, is no. experience "Red" is not a color contained in an object. It is an 30 involving reflected light, a human eye, and a human brain. We experience red only when light of a certain wavelength (say, 600 nanometers) reflects from an object (in ② the midst of other reflections at other wavelengths), and only while a receiver translates this contrasting range of light into visual sensations. Our receiver is the 対をなす 15248 human *retina, (which uses its three types of photoreceptors, called *cones, to convert 35 the reflected light into electrical signals made meaningful by a brain. In a retina that's missing a medium or long cone, light at 600 nanometers is experienced as gray. And in the absence of a brain, there is no experience of color at all, only reflected light in the world. 脳の欠 (2) Even with the right equipment in place, the experience of a red apple is not a ST 40 done deal. For the brain to convert a visual sensation into the experience of red, it must possess the concept "Red." This concept can come from prior experience with apples, roses, and other objects you perceive as red, or from learning about red from other people. (Even people who are blind since birth have a concept of "Red" that they learn from conversations and books.) (Without this concept, the apple would be 45 experienced differently. For instance, to the Berinmo people of Papua New Guinea, apples reflecting light at 600 nanometers are experienced as brownish, because Berinmo concepts for color divide up the continuous *spectrum differently. These riddles about apples and trees invite us, as perceivers to

①赤いマーカーで引いてある部分（3箇所）の文構造 ②2枚目の写真の赤く囲んであるtoについて訳し方、用法等 ③2枚目の写真の、赤いアンダーラインが引いてあるin existanceの訳し方等 以上の３つを解説いただきたいです🙇たくさんすみません💦よろしくお願いします🙏

Note: This is not a word-for-word transcript. Neil Hello. This is 6 Minute English from BBC Learning English. I'm Neil. Beth And I'm Beth. Neil Shhh! Quiet please! I'm trying to read here, Beth! Beth Oh, excuse me! I didn't know this was a library. Neil Well, what exactly is a library? Have you ever thought about that? Beth Well, somewhere with lots of books I suppose, where you go to read or study. Neil A symbol of knowledge and learning, a place to keep warm in the winter, or somewhere to murder victims in a crime novel: libraries can be all of these things, and more. Beth In this programme, we'll be looking into the hidden life of the library, including one of the most famous, the Great Library of Alexandria, founded in ancient Egypt in around 285 BCE. And as usual, we'll be learning some useful new vocabulary, and doing it all in a whisper so as not to disturb anyone! Neil Glad to hear it! But before we get out our library cards, I have a question for you, Beth. Founded in 1973 in central London, the British Library is one of the largest libraries in the world, containing around 200 million books. But which of the following can be found on its shelves. Is it: a) the earliest known printing of the Bible? b) the first edition of The Times' newspaper from 1788? or, c) the original manuscripts of the Harry Potter books? Beth I'II guess it's the first edition of the famous British newspaper, 'The Times'. Neil OK, Beth, I'll reveal the answer at the end of the programme. Libraries mean different things to different people, so who better to ask than someone who has written the book on it, literally. Professor Andrew Pettegree is the author of a new book, 'A Fragile History of the Library'. Here he explains what a library means to him to BBC Radio 3 programme, Art & Ideas: Andrew Pettegree Well, in my view, a library is any collection of books which is deliberately put together by its owner or patron. So, in the 15th century a library can be 30 manuscripts painfully put together during the course of a lifetime, or it can be two shelves of paperbacks in your home. Beth Andrew defines a library as any collection of books someone has intentionally built up. This could be as simple as a few paperbacks, cheap books with a cover made of thick paper.

二枚目の赤い線を求めるときの、三枚目にある黄色いところ(MUが2MPに変わるところとATが1/2AUに変わるところと)がどうなっているのかわからないので解説お願いします

取り組み時間のめやす 約20分 大問番号 4 ((014) (24) (a,b) M(2,0) (to) 4 B(4,4) R(a+4,6+2) (A(40) x すこ できる 0 を原点とする座標平面上に, 5点A(4,0), B (4, 4), C(0, 4), M(2,0), N (2, 4) がある。 また、3つの動点P(a, b), Q(a+4, 6-2), R(a+4,6+2) があり, 点Pは長方形 OMNC の 周上を0M→N→C の順に、毎秒1の速さ で動く。 4 点Pが出発してt秒後において, 正方形 OABC と△PQR の共通部分の面積をS(t) とする。 ただし, 0≦t≦8である。 a (a+4, b-2) Q

黒で囲んだ式の作り方がよく分かりません、 教えてください🙇⋱

214円 (x+2)2+y2=1 に外接し, 直線 x=1に接する円Cの中心をP(x, y)とする。点Pの軌 跡はどのような曲線になるか。ai PTS

(１)と（２）を全文並べがて欲しいです ちなみに答えは（1）3番目③ 6番目⑥ （２）3番目⑤6番目⑥

[1] 次の英文の文脈に適合するように下線部(1)~(5)の [ 内の語(句)を並べ替える き,それぞれ3番目と6番目にくるものを選び, その番号をマークせよ。 As shown by the recent trend of jimikon (simple weddings), more and more couples are [ avoiding ② ceremonies money. 6 6 to 7 wedding] ち 103 aims to reverse that. ③ elaborate ④ holding ⑤ save The VR (virtual reality) software a 24. Ateam is a Japanese smartphone games developer. Its app, named Sugukon VR, combining sugu (soon) with kon from kekkon (marriage), is used with headphones and goggles that people slip their smartphones into. It is unique because the videos are taken from the perspectives of both bride and groom. Other attempts at VR software merely imposed clients' images on magazine ads for wedding locations, but Ateam tried hard to make the experience more realistic by advancing to videos and audio. groom The video responds to one's movements. For example, with the goggles on, the can turn to see his bride in all her finery. If he then swings back, he sees the wedding guests. Couples can also use the software to check out wedding locations at hotel resorts 3 of 4 out ⑤ the expense ⑥ them overseas (2) avoid ②:: checking =4 160 person. Ateam's app uses the technology it developed for a horse racing game (3) [① from V+ 2 lets 3 players (4) race 2 0 to] in T⑤ that ⑥ the ⑦view] the point of view of a jockey. It 5 3. is a response to the fact that fewer engaged couples are holding elaborate ceremonies. According to a survey, approximately 670,000 couples get married every year but around 300,000 stop short of holding a wedding ceremony. This means (4)[①are ③ fewer 4 for for 2 2 chances 4 there ①to ⑦7 young people] attend weddings. The number of there people who do not know what to do in a wedding is increasing. A staff member at Ateam said, "By using VR technology, we can create a system so that (5) and 2 away 5 ✓perie ③ cannot ④_far ⑤ live 4 2 T⑥: relatives: :: ::⑦::K_who_ attend the wedding will still be able to experience it." Ateam will film different wedding locations in V₁ 0 Japan and other countries and allow clients to virtually experience them at their customer service counters. STEM

この2問の答えは何ですか？？訂正後も教えて頂きたいです🙇🏻‍♀️🙇🏻‍♀️

(2)次の各英文は一箇所訂正することによって、与えられた日本文とほぼ同じ意味の正しい英文 となる。訂正すべき箇所を1~4から選び, 番号で答えよ。 意 (a) ジムとロバートは子どものころ大の仲良しだった。 そして20年後、一人は警官となり、 もう一人はお尋ね者となっていた。 Jim and Robert were best friends in their childhood. Twenty years later, one became 1 a police officer and another a wanted person. 4 2 3 (b) 常識を覆すような彼女の発想が受け入れられたなら、私たちの生活に大きな変化が起き るだろう。 With her game-changing idea accepts, big changes will come about in our lives. 1 2 3 4 (c) GPSがどう懐

この問題で、O,P,Rを通る円の半径を求めるときに三角形OSTにおける正弦定理を使って求めたら答えが3√12/2となり、間違っていました。どうしてでしょうか。何方か教えてください...😭

問題11 0に対して,演習例題11の手順1とは直線lの引き方を変え,次の手順 2で作図を行う。A内の 手順2 (Step 1 ) 円0と共有点をもたない直線lを引く。 中心から直線ℓに垂直な 直線を引き, 直線 l との交点をP とする。 (Step 2)円0の周上に, 点Q を ∠POQ が鈍角となるようにとる。 直線 PQ を 引き,円0との交点で Q とは異なる点をR とする。 (Step 3 ) 点 Q を通り直線 OP に垂直な直線を引き、円0との交点でQとは異 なる点をSとする。 (Step 4) 点Sにおける円0の接線を引き、 直線lとの交点をTとする。 このとき,∠PTS=アである。 円0の半径が5で,OT=3√6 であるとき,3 ウ で,RT=オ である。 点 O, P, R を通る円の半径は I ア の解答群 0 ZPQS ① ∠PST 2 ZQPS ③ ∠QRS 4 ZSRT

この問題なんですが、（１）は理解できたのですが、（２）からがつまずいてしまいます。2,3枚目にのせた似た問題の解説動画のやり方の方が自分にはあっているなと感じたので、そちらの解き方の方で解説していただければ嬉しいです！宜しくお願いいたします🙇

3 漸化式と数学的帰納法 (81) B1 例題 B1.39 分数型の漸化式 (2) **** 3a,+2 α=8, Q+1= a,+2 によって定義される数列{a} がある. a-B (1) bm とおくと. 数列 {b.) が等比数列になるような.α. a-a (α >β) の値を求めよ。 (2) 数列{a} の一般項 α を求めよ. (1) (b.}が等比数列になるのは, bu+i=rb, (公比r)と表されるときである. そのために、 bath を考えて,これを漸化式を利用して am で表してみる。 (2) (1) で導いた {bm} を利用して一般項を求める。 (考え方)] 3a+2 「解答」 (1) byt= an+1-B am+2 -B 3a+2-3 (a+2) 漸化式を用いるた ata 3a+2 3am+2-α (an+2) a めに bm+1 を考える. an+2 2-28 an+ (3-3)a,+2-28 3-8 3-β (3-a)an+2-2a 3-a 2-2a a₁+ 3-a したがって, 数列 {b.} が等比数列になるための条件は, 2-2a 2-28 -α= 3-α' -β= ~ 部分が同じ形に なれば、第一を 3-α 比として {b,} は等 数列になる. 3-8 である. α. βは,-x(3-x)=2-2xの2つの解であり x2-x-2=0 より x=2. -1 α=2,β=-1 3-β_3+1 =4 であるから 3-a 3-2 a+1_8+1_3 a>βより (2) (1)より また, b1= つまり, a+1 3 ・4"-1 a-2 8-2 2 an-2 2 よって, 特性方程式 (p.B14 参照) _3x+2 x+2 より. x2+2x =3x+2 x= bx+1=4bn 3 b 4"-1 (x-2)(x+1)=0 x=2, -1 と同じ解になる。 2(an+1) =3.4" (a-2) より, 6.4"+8 an= 3.4"-8 6.4"'+2 a= 3.4-2 6.4"+8 3.4"-8 α」=2, an+1= 習 39 ** (1) bm= an+B am+α 4a+1 によって定義される数列{an} がある. 2a+3 とおくと, 数列{bm} が等比数列になるような, α. β (a の値を求めよ. (2) 数列 {a} の一般項 am を求めよ. ➡p.B

青線の部分がグラフから読み取る以外に方法があれば教えていただきたいです。グラフが不正確な時に間違うのを避けたいので、正確性の高い方法だと嬉しいです。

(b) Draw the graphs of y=|2x-5|and y=|4-x on the same axes. Hence solve |2x-5|<|4-x| 10 y=12x-51 -10 -8 -6 ~2 (1,3) (3,1 y=14-x1 -4 -2 0. -2 4. 4 -6- 6 00 8 10 X -8- --101 y = 14-x1, V-shaped, x-intercepts (4,0) y-intercepts (04) y = 12x-51, V-shaped, X - intercepts (2.5,0) y-intercepts (0.5) グラフでこの範囲を求める以外 The Bolution is 1くみくる に方法はありますか? [8m]