TOEICのPart6の答え合わせをお願いします。 不正解のところは解説頂けるとありがたいです。 よろしくお願いします！

Questions 21-24 refer to the following advertisement. Save More at Savings-Plus Shopping at Savings-Plus is cheaper! With the largest number of supermarkets in the Great Plains area, your family saves more by shopping at Savings-Plus. Savings-Plus biys in larger quantities than the smaller chains and we pass the savings on to you with the best selections and the best prices. We know you see far more. deliveries being made at each Savings-Plus storé than at our competitors. 21. Therefore, Savings-Plus food is _------ it can be! Buy non-prescription 22. 23. drugs at our stores, and you'll be sure to take home the best bargains. Shoppers throughout the region flock to Savings-Plus for all their grocery and pharmacy needs. Our competitors may operate DVD rentals or provide dry cleaning services, and that's fine with us. We'l _ them earn money in those areas. 24. But when it comes to your kitchen and bathroom needs, you know you'll find values and unparalleled quality at all of our Savings-Plus stores. 21. (A) frequently (B) frequency 6) frequents (D) frequent 23. (A) Take advantage of the savings, and shop online レ now. (B) Those who'dlike to get something to eat should visit Savings-Plus. B (C) And the savings don't stop in the grocery section. (D) Discount coupons are offered only on select days 22. (A) as fresh as and times. V(B) so fresh that D A B (C) fresher than 24. (A) have (BY get () more than fresh B D (C) let (D) make B D

問題としてはこのURLのやつでexercise2.2.9の問題です。 2.2.9. Define T : ℓ^2(Zn ) → ℓ^2(Zn ) by (T(z))(n) =z(n + 1) − z(n). Find all eigenvalues of T.... Read More

16:22マ l 全 の Exerc: 164/520 matrices, convolution operators, and Fourier r operators. 2.2.9. Define T:l'(Zn) - → e°(ZN) by ニ Find all eigenvalues of T. 2.2.10. Let T(m):e'(Z4) → '(Z) be the Fourier multipliei (mz)' where m = (1,0, i, -2) defined by T (m)(2) = i. Find be l(Z4) such that T(m) is the convolutior Tb (defined by Th(Z) = b*z). ii. Find the matrix that represents T(m) with resp standard basis. 2.2.11. i. Suppose Ti, T2:l(ZN) → e(ZN) are tra invariant linear transformations. Prove that th sition T, o T, is translation invariant. ii. Suppose A and B are circulant NxN matric directly (i.e., just using the definition of a matrix, not using Theorem 2.19) that AB is Show that this result and Theorem 2.19 imp Hint: Write out the (m + 1,n+1) entry of the definition of matrix multiplication; compare hint to Exercise 2.2.12 (i). iii. Suppose b,, bz e l'(Zn). Prove that the cor Tb, o Tb, of the convolution operators Tb, and convolution operator T, with b = 2 bz * b.. E Exercise 2.2.6. iv. Suppose m,, mz € l"(Z). Prove that the cor T(m2) ° T(m) and T(m) is the Fourier multiplier operator T) m(n) = m2(n)m」(n) for all n. v. Suppose Ti, T2:l"(Zw) → e'(Zn) are linear tra tions. Prove that if Ti is represented bya matri respect to the Fourier basis F (i.e., [T; (z)]F =A Tz is represented by a matrix Az with respect t the composition T20T, is represented by the ma with respect to F. Deduce part i again. Remark:ByTheerem 2.19, we have just proved of the Fourier multiplier operat Aresearchgate.net - 非公開

CROWN English expression IのP99,101,103です。答えを書いた紙を失くしてしまったので教えていただきたいです🙇‍♂️よろしくお願いします！

あなたがタイムマシーンに乗って会いに行きたい人物について、 下線部分を言い換えて話しましょう。 1 Fill in each blank with a suitable word. ろ Da) We don't have enough money to take a taxi. b) If we had enough money, we ( omg )a taxi. 2a) As she was in a hurry, she lost her train pass. pass「定期券」 b) If she hadn't been in a hurry, she wouldn't ( ) her train pass. 3a) As I didn't set my alarm, I overslept this morning. ●oversleep 「寝過ごす」 b) IfI( )my alarm, I wouldn't have overslept this morning. 4 a)Iam sorry that, we don't have our own school bus. b)Iwish we ( ) our own school bus. 2 Put the words in parentheses in the correct order. T 1もっと時間があったら、より安くてすむ高速バスで行ったのだが。 (had / had / I/if/more time), I would have taken a cheaper expressway bus. もう1時間寝ていられればなあ。 (could / I/I/in bed / stay/wish) for another hour. 3子供の頃に、ピアノを習い始めていたらなあ。 (had/I/I/1learn / started / to / wish) the piano in my childhood. 3 Complete the sentences. 1私があなたなら、次の電車に間に合うように駅まで走るだろう。 IfI were you, to catch the next train. 2あの日、天気がよかったら、 秋の紅葉(autumn colors)を楽しめただろう。●on that day 「あの日に」 we could have enjoyed the autumn colors. ③ 最終バスに間に合っていたら、家まで歩かずにすんでいただろう。 IfI had caught the last bus, ④私たちの学校が、駅からもっと近ければなあ。 Iwish 4 Put the Japanese sentences into English. 0もし僕が君だったら、 学校まで自転車で行くだろう。 2 もっと熱心に勉強していたら、 その試験に受かっていたかもしれない。 3雪が降っていなかったら、 電車は時間通りに来ただろう。 ●on time 「時間通りに」 急行(the express trains) が、この駅に停まったらよいのになあ。 ndo do :-

vision quest1 standard homeworkなんですがここのページの答え誰か教えて欲しいです。 ならべくはやいととても有難いです🙇🏻‍♀️

1 日本語に合うように, [ ]内の動詞を用いて英文を完成させなさい。 口 1. スポーッを観戦するのはわくわくする。 Itis exciting [watch] 2. それはお気の毒に。 that. [hear] T'm ロ 3. 彼女の目標は慈善事業のための資金を集めることだ。 money for charity. [ raise ] Her aim 4. 私たちは彼が元気だと知ってうれしかった。 that he was fine. [know] We were pleased 5. 私のひいおじいさんは90歳まで生きた。 My great-grandfather lived ロ 6. リサは試験勉強をするために, 夜更かしした。 90. [ be] Lisa stayed up late for the test. [ prepare ] 2 [ 1内から適切な動詞を選び, 不定詞に変化させて下線部に入れなさい。 総合 ロ 1. She grew up a doctor. 2. My father needs smoking. 3. Hot drinks help our body warm. 4. There is nothing in the fridge. 5. I'm very happy with you. 6. IS necessary for every student. [be/drink /keep/stay/study/ stop] 3 左右の語句を適切につなぎ, 英文を完成させなさい。 BC 1. We have some work to catch the last train. 2. Iwoke up to finish today. 3. Ineed a piece of paper to say such a thing. 4. She hurried to the station· to write down his phone number on. 5. You must be angry to find that I had gone past my swp

このベクトルの共選条件の証明なんですが、どこが間違ってますか?(2)です。

せよ。 【類 大阪工大) (2) AABC の辺 BC, CA, ABをそれぞれ m:n(m>0, n>0) に内分する点 をP, Q, Rとするとき,△ABC と APQR の重心は一致することを示せ。 p.414 基本事項 4

「私」と「あなた」の二人だけで会話しているときの「You」は、わざわざ「あなた」と訳さなくてもいいのですか？

この問題が解けません。 aを満たすところが意味がわかりません。

Question 2. (10 Points) Give me a graph, where the z's all laugh, and play by the following rules On the figure below, sketch the graph of a function y = f(x) that satisfies: (a) lim f(z) = 3, (d) lim f(z) = 5。 エ→1+ lim, f(x) = 0. (e) lim f(z) =-5, エ→1- (c) lim f(z) = -8 (f) f(1) = 2, and エ→ (g)f is defined everywhere except maybe z =-3. 6 2 -6 -4 -2 2 4 6 -2 -4

答えは2番なのですが、4番と内容があまり変わらない気がしてすっきりしません。教えて頂きたいです。 2番は、歩いて見るだけで感じることができる素敵な歴史がある 4番は、他国からの旅行者が喜ぶような長い歴史を持っている だと思うのですが、2番が答えとなる根拠は何ですか？？

The city of Istanbul, in Turkey, has many claims to fame. It is the best-known city to be defined as transcontinental, which is to say located on two continents (Europe and Asia). This melting pot of cultures attracts 12 million foreign fourists each year, making it the fifth most-visited city in the world. Peopleflock_io Istanbul(to see its 9 stunning skyline, to taste its delicious cuisine, and chiefly to(soak up the incredible history that lies in every building and street. 炊する onitol ofo cerie。

英語です。教えてください！ちなみに答えはイです

(Did yesterday? 4) We have ( much, many ) homework today. 5) My family visited some ( city, cities) in America. 6) It stopped ( to snow, snowing ) this morning. earth. 10 (Are, Will) you going to mak speech in the next class? 10 They decided ( to choose, choosing) this plan. 12 John is the ( taller, tallest) family. mhahy たな sitest g 〈各2点/8点) 1 3 )内から適切な語 次の(1)~(6)の英女を[ 次の(1)~(4)の対話が成り立つように,( (旬)を選んで、記号を書きなさい。 A:What did you buy? き,( )に当てはまる最 1) Mr. Hill teaches us Engl )us Eng の Mr. Hill ( B:Ibought some eggs. I'll cook ( ア. it イ. they ウ、them エ. their) for breakfast. る。 (2) I was a junior high scho ) junior high の形 We( (2) A:What is the ( ア, very popular イ. as popular (3) Judy runs fast. 「アンよ Judy runs (4) There is a box by the エ. most popular ) sportin your class? ウ、more popular B:Soccer is. A:(ア. What の ) thar イ、 How ウ、When エ. Where ) did 3 There are three( you come here? (5) The little girl cried fc B:Iwalked here. A:Idon't feel ( ア. bad イ. good ウ. tired エ. kind ). B:That's tee、bad. Maybe you have a cold. The little girl was( C (6) You area good ten You( ) be a (各2点/10点) 点 2 Teachec 次の(1)~(5)の日本文に合う英文になるように,( まる最も適切な語を書きなさい。 (1) 彼女は向こうで自転車に乗っています。 )に当ては Tast She is ( )a bike over there. CFine その部屋には窓が1つもありませんでした。 There ( ) any windows in the room. (3) 私の趣味は写真をとることです。 4 次の(1)~(4)の 記号を書きなさ (1) We watched My hobby is ( ) pictures. (4)彼は早く帰宅しなければなりません。 He ( ) to go home early. (2 My grandmo 出るる(5) 私はきょうの午後するべきことはありません。 出る3) Iwrote a lei I have nothing( ) do this afternoon. (4) Do you dri たfe アof arehlt オ to

これの内容の最初の方は分かったんですけど 下半分からよくわかんなくなったので簡単にどうゆう話になったのか教えてください。

(注)Koishidani =小石谷 (地名) neighbor =隣の人 stay away from~=~に近づかない Sayamaan 佐山ん 名) truck =トラック suddenly =突然 yelling) =大声を上げる on the way back =D帰る途中で When I was a child, I lived ina small village called Koishidani in Hokkaido. I had a neighborSayama-san,jand he was always yelling at me and my friends to stay away from his house and his old truck. He looked very strange for me. day I was in a coffee shop near my school and talked with a friend about my hometown. Suddenly a student next to us talked to me and said, "Are you from Koishidani? Do you know Ten years latet, I became a college student, and started to live in Tokyo. One an old man named Sayama there? He drove an old blue truck." “Yes," I answered. “He's my neighbor. Do you know him?" “I do! OWhat a nice coincidence!" said the student and he told me that three years ago, he, his mother, and his little sister spentadayin the mountains near my hometown. “While my sister and I were playing around the river in the mountains, I cut my left hand. It was very bad and Mom told us we had to find a doctor." But @the bus back to the town didn't come for another four hours. The three decided to walk bac to the town. However, it was very far. “My mother kept telling me to be all right, but I knew that she was really worried." “Just then, a small blue truck came up the road in front of us. Mom stopped the truck, and its driver was Sayama-san. She told 3what happened, and asked him to take us into town to see a doctor." “He told us to get in his truck, and that there was some ice for my hand in a box." The student told me that he could not remember much about the trip to the doctor. However, when he finally walked out of the doctor's room, Sayama-san was sitting with his mother and sister to take them back to Koishidani. So, they could catch the last train home. On the way back,Sayama-san told us that he had a neighbor named Aki around my age. OSo you are Aki, right? When you see Sayama-san again, tell him that my left hand is fine now, andIm studying piano." “Tll ©do that," I answered. Our school is large, and I never met the student again. ButI saw Sayama-san again. ©I see him with new eyes now, and I am glad I have a neighbor like him. 1 下線部のが表す内容として最も適当なものを, 次のア~エから一つ選び, 記号で答えなさい。 ア なんて美しい景色なんだろう! ィ なんてきれいな貨幣なんだろう! ウ なんてすてきな偶然なんだろう! エ なんてひどい事故なんだろう! 2 下線部のについて, 4時間もバスが来ないことが分かると, 三人はどのような行動をとろうとした