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Mathematics Undergraduate

数学オリンピック対策に取り組んだ問題なのですが、ここのいっている意味がよくわかりません。わかる方お願いします🤲

解答 ロッカーの番号を -1 ずらして0番から1023 番のロッカーが並んでいると考える. 最初の往路で は、 二進法で表して末尾が0の番号のロッカーが開 かれ、帰路では末尾から2桁目が1のロッカーが開 かれる. 次の往路では、末尾から3桁目が0の帰路 では末尾から4桁目が1の番号のロッカーが開かれ 交互にあけていく →2進数の発想 解答 一般に,n=1,2,3,... に対する連立方程式 [ x² + x² + · · · + x ² = y³ [x³ + x² +\ ·+x²³² = ₂² 50.2 整数と実数 が、 無限個の整数解をもつことを示す. a1,a2,..., an を任意の相異なる自然数として, s = a² + a² + + a², t = a³ + a² + … + a²³²2 <. ここで mi = smtkai とおくと ← ??? 【基礎0.2.8】 (1985USAMO問1) 連立方程式 : x² + x ²/² + + 1² = 8²m+1₁2k (x³ + x²³² + ... · + 1²₁/12: = 83m43k+1 となる. そこで, s2m+142k = 13,83mt3k+1 = 22 (y, 2 はある正の整数) を満たすように自然数m,n を定め ればよい. そのためには, 2m+1= 2k = 0 (mod 3) と3m=3k+1 = 0 (mod 2) を満たしていればよい のだから, m=4 (mod 6) かつk = 3 (mod 6) であ ればよい. このように Ti, y, z を定めれば、問題の連 立方程式を満たす. (1²+1²+₁+2985 = y³ x³ + x² + +1985=22 を満たす正の整数 y, 及び相異なる正の整数 π1) 21..., 1985 は存在するかどうか判定せよ. 呼ばれる。 分母と分子が整数である分数として表せる数を有 「理数という. 有理数(分数) を小数で表すと, 有限小 数または巡回小数になる。 逆に有限小数や巡回小数 で表せる数は分数で表せる. 巡回小数でない無限小数で表される数を無理数と いう. 有理数と無理数をあわせて実数という. 【基礎 0.2.9】 (1989AIME 問3 ) n は正の整数, dは十進法で1桁の数で TL = 0.d25d25d25... 1810 となるという. このようなn を求めよ. 13 解答 与えられた方程式より 999n 810 を得る.この両辺を 810倍し,両辺を27で割ると, =100d +25

Resolved Answers: 1
TOEIC・English Undergraduate

英読解の問題です。 すっかり忘れてしまったため何も分かりません。 2問教えて欲しいです。お願いします><

2022 P=HT 6. 次のお知らせを読み、 (1) ~ (2) のA~Dで適切なものに○をつけなさい。 [4×2=8] TO: All staff From: Erin Liner, Manager Date: July 15 Subject: Our survey Dear all. We have finished reviewing the data which we received from the recent customer satisfaction survey. I would like to share the most important findings, and how we can improve on certain areas of our work. Overall, customers were happy with the quality of our service. the helpfulness of our staff, and the range of products we offer. However, there were some negative comments which we can begin to work on. A common complaint was that there are not enough foreign titles in the store, especially Japanese comics. I will ask John Calman to research some of the most popular series and make sure we start carrying them from the fall. As Gita Pradesh spent her college years in Tokyo, I will ask her to assist. Better signage was another thing which people wanted. They spend a lot of time looking for the right section and it frustrates a lot of customers. This is something we can improve immediately, so I will speak to Alice Moore today about making the signs easier to see, and adding more if necessary. Finally, we got some comments about having a small cafe in the store. Nowadays, people want to have a coffee while reading or browsing, and it could be a new source of profit. Mario Venetti will make a report on the feasibility and deliver it next month. Thank you for all your efforts in making us the best we can be. Erin Liner Manager (1) What is the purpose of the e-mail? (A) To ask staff to create survey questions (B) To share details of customer feedback (C) To inform staff of recent changes (D) To invite staff to apply for new positions (2) Where does Ms. Liner most likely work? (A) At a café (B) At a movie theater (C) At a clothing shop (D) At a bookstore 以

Waiting for Answers Answers: 0
TOEIC・English Undergraduate

英読解の問題です。 すっかり忘れてしまったため何も分かりません。 3問教えて欲しいです。お願いします><

5. 次のメッセージを読み、 [4×3=12] (1)~(3) A~Dで適切なものに○をつけなさい。 Sarah Rogovin [09:20 A. M.] Good morning. Li Na and Dave. Could you let me know the latest on the Taipei trip? Li Na Tsai [09:25 A. M.] Everything is prepared at this end. I've booked a meeting room for three days, ordered refreshments, and arranged daily taxis to and from your hotel. Sarah Rogovin [09:28 A. M.] Fantastic. Did you remember that three people are vegetarian? Li Na Tsai [09:30 A. M.] Yes, they have separate meals. The price is actually a little lower for them. Dave Kaplan [09:31 A. M. 1 And I just confirmed the new flights for you and Chen Wang. Sarah. You're now flying direct from Singapore to Taipei at 6 P. M. on Sunday. My apologies again for the misunderstanding. Sarah Rogovin [09:34 A. M.] Thanks for sorting that out. Dave. This makes the journey much easier. Could you e-mail the electronic ticket to Chen Wang when you receive it, please? Dave Kaplan [09:35 A. M.] Consider it done. Li Na Tsai [09:37 A. M.] Sarah, I've arranged for a projector, but do you also need a laptop set up in the meeting room? Also, the staff there will give you an access code for the room; you may need to ask for it. a Wi-Fi signal Sarah Rogovin [09:40 A. M.] As you said previously that there's throughout the hotel you've booked, I'll use my own. Thanks again for your hard work, both of you. (1) Why does Ms. Rogovin ask about food? (A) She wants to eat in a separate room. (B) Her colleague forgot to order meals last time. (C) Some attendees don't eat meat. (D) She thinks the meals are too (2) What is suggested about the flights? (A) They are booked for Sunday morning. (B) The original booking was incorrect. (C) A discount was offered on the price. (D)) There will be a short stop on the route. (3) At 9:35 A. M.. what does Mr. Kaplan mean when he writes, "Consider it done" ? (A) He will forward a document. (B) He will call Mr. Wang. (C) He will reserve two seats. (D) He will order a taxi.

Waiting for Answers Answers: 0
TOEIC・English Undergraduate

大学でcatwingsという洋書を読んでいるのですが、 ①Sitting in the catbird seat!とハリエットッという猫が歌うのですがこの訳は有利な立場に座っている!でいいでしょうか...? ②It looks softer. の訳が分からないです。私的... Read More

どうして ther じゃない? catbird.….. ネコマネドリ ←北米大陸に分布する 暗い灰青色の羽も コスズメ目マネシツグミ 科の野鳥の猫に似た 鳴き声を出す。 catbird seat.….有利な立場、権力 untiring ・疲れない ・飽くことのない ・たゆまない 不屈の に腰をかける "Sitting in the catbird seat!" sang を検定などのよ nost (屋上落上)小尖塔 Harriet, perched on a pinnacle. 所に置くのせた ポーチドク "It looks different over there," said Hoveselfに Thelma, pointing her nose to the west. "It looks softer?” 12- じっとみる まじめに、真剣に熱心に西に向かって、西方に They all gazed earnestly westward, but 方 アーニィストリイ cats don't see the distance clearly. "Well, if it's different, let's try it," said James, and they set off again. They could not st fly with untiring ease, like the pigeons. Mrs. アンタイアイリング ミセス たやすさ ピジョンズ の座(く シドリが木の 一番高い場所 に巣を作ること with ease ・造作もなく perch ⑩ (上り木 すいすいと ・苦もなく ・易しく、楽に (座れる高い場所 パーティン・土地の面 の単位) ⑩ (鳥か?.….に止まる

Unresolved Answers: 1