(1)(2)ともにまったく分からないので教えてください！

[大] 大] 重要 例題 9 二項定理の利用 (1) 101 ' の下位5桁を求めよ。 (2)2 00で割った余りを求めよ。 CHART & THINKING のののの 23 基本 (1),(2) ともに, まともに計算するのは大変。 (1) は,次のように変形して、 二項定理を利用する。 1011= (100+1)100= (1+102) 100 展開した後, 各項に含まれる 10 に着目し, 下位5桁に関係する箇所のみを考える。 (2)も二項定理を利用するが,どのようにすればよいだろうか? →900=302 であることに着目し,2930-1 と変形して考えよう。 解答 (1) 1011=(100+1)100= (1+102) 100 =1+100C1・102+100C2・10+100C3・10°+100C4・10°++10200 =1+100C1・102+100C2・10+10%(100Cs+100C4 ・ 102 +... +10194) ここで, a=100C3 +100C4・102 +…+10194 とおくとaは自然数で 101100 = 1+10000 + 49500000 +10°α =10001+49500000 +10°a =10001+105(495+10a) 10 (495+10a) の下位5桁はすべて 0 である。 よって, 101100 の下位 5桁は 10001 (2) 2945(30-1)45=(-1+30)45 =(-1)^5+45Ci (−1)44・30+45C2(-1)43・302+45C3(-1)42・303 ■■ 1章 1 3次式の展開と因数分解,二項定理 分散式は、 +…+45C44(-1)・304+3045 第3項以降の項はすべて 302=900で割り切れる。 また,(-1)45=-1, -1) =1であるから -1+45・1・30=1349=900・1 +449 よって, 2945 を900で割った余りは 449 大←第1項と第2項の和は 900 より大きい。 計算への応用 INFORMATION 上と同じ考え方で, 複雑な計算を暗算で行うことができる。 例えば,9992 は 9992=(1000-1)=1000000-2000+1=998001, 4989×5011 は 4989×5011=(5000-11)×(5000+11)=50002-11=25000000121=24999879 と計算 できる。

どなたか教えて頂けませんか😭😭😭

付加疑問 「よね」 と相手に同意を求めたり確認したりするときの文の形 肯定文の後:否定の付加疑問/否定文の後: 肯定の付加疑問 日本語の意味に合うように,( )に適切な語を入れなさい。 (1) あなたは鳥取県に住んでいますよね。 ( You live in Tottori Prefecture, ( (2)あなたのお姉さんは私のことを覚えていませんでしたよね。 Your sister didn't remember me, ( .) ( (3) あなたはローマに1度も行ったことがないのですよね。 You have never been to Rome, ( (4) 彼は私のメールを受け取りましたよね。 He has received my email, ( ) ( ) ( (5) この町にはたくさんのホテルがありますよね。 There are many hotels in this town, ( Step2 ( )に適切な語を入れ、対話文を完成させなさい。 (1)“( (2)“( ? from (3)"( (4)“( (5) "( (6)“( (7)"( (8)"( (9) "( (10)"( n't." )( )? )? 9912 (9) )? ) are you making that cake for?” “For my boyfriend." ) is the English word for yakan?” “It's kettle.” ) is the girl standing over there?” “That's John's girlfriend, Kate." ) is Alex absent today?" "I heard he has caught a cold." ) novel do you recommend?” “I recommend a detective one.” ) of the two ice creams do you want to eat?" "The chocolate one." ) bag is this?" "That's Ben's." ) did you buy that bicycle?” “I bought it about two weeks ago. " ) did you get the information?” “I got it on the Internet." your steak?” “I would like it well done, please." ) would you like 2 日本語の意味に合うように,( )に適切な語を入れなさい。 (1)「このペンを使ってもいいですか」 「もちろん、いいですよ」 "( ) if I use this pen?" "Of course ( )." ) you ( (2)世界で最高の小説家はだれだと思いますか。 )()( (3) ピーターは中国語を話すのがとても得意ですよね。 Peter is very good at speaking Chinese, ( (4)あなたは本当に東京で楽しく過ごしたんですね。 You really enjoyed your time in Tokyo, ( ) is the best novelist in the world? ) ( ) you? )? (5) あなたは明日,ロンの誕生日パーティーに来ないのですか。 tomorrow?) ) coming to Ron's birthday party (6) その歌手がいつ日本で公演をするか知っていますか。 ) ( ) ( )." (People) (i) ( ) ( ) the singer is going to perform in Japan? )?" "( (7)「あなたはセロリが好きではないのですよね」「いいえ、好きですよ」 "You don't like celery, ( ) ( ), ( lea. " 95

高校受験を控える弟のテストです。回答がなく困っています。どなたか回答してくれませんか？

BO (2)次は,かえで町で開催されるイベントのお知らせです。 Kaede Summer Festival We will have Kaede Summer Festival in Kaede Park in August. There will be more than 60 shops, and you can enjoy many events on stage. In the evening, you will see beautiful fireworks. Come and enjoy the summer! Schedule <Day 1> Saturday, August 10 From 9 a.m. to 9 p.m. 10:00 Yosakoi Dance 1:30 Music Performance by 6:00 Mr. William Teller Bon-Odori 7:00 Fireworks Show Information about Events Mr. William Teller will join our festival. He is a famous singer around the world. When he was younger, he lived in Kaede Town for one year. He decided to come back for Kaede Summer Festival this year. Come and enjoy his great music! <Day 2> Sunday, August 11 From 9 a.m. to 8 p.m. 000.00 00002 11:00 Dance Performance by children 3:00 Yosakoi Dance 6:00 Bon-Odori 7:00 Fireworks Show Kaede Yosakoi dance team will show their performance. They won a Yosakoi contest in Hokkaido last year. Their performance will be exciting. They have made their dance easy for the people of Kaede Town. You can dance with them! On the second day, children of the dance club at Kaede Elementary School will perform their dance. They practiced dancing hard for this festival. Enjoy their cool dance! will sď You can see the fireworks show from anywhere in the park. * Children under 13 years old can't enjoy the festival after 6 p.m. without a parent. (E) schedule anywhere どこでも W in evil won bis vti alueji ni rood asw.exp VT to adband pig box by var Joods moilimbi amox fox ral0Y+ rady (nam you of ved Imobre VIO 2008 in noble nibit won a toy tili da ni vil o bha alging so I -7-

高校受験を控える弟の英語のテストなのですが、回答がなくて、どなたか回答案をくださりませんか？

7 次の(1),(2)の英文を読んで、それぞれの問いに答えなさい。 (1) ユタカ (Yutaka) とジョージ (George)は, 2人の住むみつば市 (Mitsuba City) について調査し,英語でプレ ゼンテーション(presentation)を行いました。 ユタカがスライド(slide)を使って発表をしています。 Hello, I'm Yutaka. I live in Mitsuba City and have lived there since I was born. There are some big parks in the city, and I often played in them with my friends when I was a child. I like my city very much. people than before. Look at Slide 1. Last month, I saw news about Mitsuba City on TV. It said that our city had fewer This shows the number of people in Mitsuba City. There were more than 300,000 people in 2000. The number became larger until 2010, but after that, it started to decrease. In 2020, about 280,000 people lived there. Why did the number of people become small? To find out the reasons, I read some books and checked some websites on the Internet. I got some ideas. Look at Slide 2. This shows the number of people in Wakaba City and Aoba City. These cities are next to Mitsuba City. You can see that these two cities had more people in 2020 than in 2000. In fact, Wakaba City started some plans to help parents in 2014. For example, parents don't have to pay money when they take their sick children to the hospital. This means parents can take care of their sick children ( A ) worrying about money. In Aoba City, a new train station was built in 2008. Since then, the city has more convenience stores, clothes shops, and restaurants. Living in Aoba City became more convenient, so more people started to live there. Look at Slide 3. You can see the number of each type of shop was larger in 2020 than in 2000. Now, Aoba City has become one of the most popular cities among people. Mitsuba City is a good city, but I don't think it has many attractive points. Parents still have to pay a lot of money to take care of their sick children. Also, there are not many shops and restaurants in the city. I think Mitsuba City should have more attractive points like Wakaba City and Aoba City. I want more people to live in Mitsuba City in the future. Slide 2 Slide 3 (people) 180,000 Covenience Stores 170,000 160,000 Clothes Shops 150,000 Restaurants 140,000 2000 2005 Wakaba 2010 2015 2020 --- Aoba (year) 0 10 20 30 40 50 (number) ■ 2000 m 2020 (注) be born 生まれる play 遊ぶ decrease 減少する in fact 実際は attractive 魅力的な find out take care of ~ news ニュース ~を探り出す ~ 〜の世話をする fewer より少ない website ウェブサイト convenient 便利な point -5-

マーケティング部にとって励まされる兆候、という文章はおかしいのでしょうか？（おかしくないとBが正解なのできっとおかしいのですが、どこがおかしいか分かりません。。）

(D) information #salg 53 Rasendong (8) online may be returned ISPRS (0) 25. The amount of traffic the company Web site attracted before the product launch was an ------- sign for the marketing division. (A) encourage anilno abem (ons didw) 292dbu (B) encouraged [2] (C) encouraging (D) encourages

適切な記号を選ぶ問題です どなたか教えていただきたいです 宿題でわからなくてら困ってます🤦 答えがないんです

) in Australia. 1 Portuguese ( P is spoken 2 Kangaroos ( ) in Brazil. 1 is speaking " speaks I spoke P can be found 1 are founded " can found I are can found 3 I was spoken ( 7 by 1 to ウ by to I to by 4 The song ( ) a pretty girl yesterday. ) by people all over the world for many years. 7 has loved 1 has been loved ウ loved I is loving 5 Ann's birthday cake ( ) by her mother now. is being made 1 is being making is making I has made 6 We ( ) our new school uniform. 7 satisfy with be satisfied with are satisfied with " are satisfied to I satisfy 7 She was made ( ) overtime by her boss. 7 work 1 be worked to be worked I to work 8 このあたりのどの木も切らせてはいけない。 Don't let any trees around here ( ). 7 cut down 1 to cut down " cutting down I be cut down 9 The man was seen ( ) out of the house. I go to go ウ gone I went 10 Visitors are ( ) to beware of the pickpockets. 7 advised 1 informed 11 David had his car ( 7 being checked 12 This word ( 7 is pronounced 13 Many people ( I had died 14 They were ( 7 amaze 1 15 The girl was ( 7 brought " noticed I advanced ) by a mechanic. 1 checked " checking I was checked ) with the stress on the first syllable. 1 is pronouncing " pronounces ) in the Hanshin earthquake of 1995. 1 killed " were dead I were killed ) at the singer's fantastic voice. amazed amazing I amazed I pronounce be killed in ) up by her kind aunt after her parents died. 1 carried given I grown

英検準1級のライティングの採点お願いします お題は online advertisments are not a successful marketing strategy. です Some people say that online advertisments ar... 続きを読む

文の2行目の into which information was poured pour A into B　AをBに注ぎ込む という意味になります。 熟語の順番が逆になってるのは、なぜでしょうか。

-11- 英文分析 別冊 p.9 Traditionally, listening was viewed as a passive process, in which our ears were receivers into which information was poured, and all the listener had to do was passively register the message./2 Today we recognize that listening is an 'active' process, and that good listeners are just as active when listening as speakers are when speaking. 2 Active listening is also an interpretive process. Listening used to be thought of as the exact decoding of the message. 3 In fact, listening involves subtle interpretation. (福島大) (第1段落) traditionally 「伝統的に,従来」 view A as B 「AをBと見なす」 passive 語句 「受動的な」process「過程;手順」 receiver 「受信機」 pour A into B 「AをBに注ぎ [流 し]込む」régister「を記録する」 2 recognize that ... 「･･･ことを認める・・・を認識する」 active 「能動的な」(第2段落) 1 intérpretive (= intérpretative) 「説明的な解釈

教えて欲しいです急いでます🙇‍♀️🙇‍♀️🙇‍♀️

のに」 5 ビ ③各組の文がほぼ同じ意味になるように、英文を完成させなさい。 (1) Iam so busy, so I can't travel around Japan. If I so busy, I (2) She had a bad cold, so she didn't join us for dinner. If she a bad cold, she travel around Japan. AB us for dinner. AB )内の語句を並べかえ, 全文を書きなさい。 与えられた状況に合うように( (1)状況 テストの答案が返却された。 そのとき, 先生から受けたアドバイスは･･･。 If you (carefully read / you / had / made / the textbook, / have / wouldn't) the error. (2)状況 以前から欲しかったスマホが入荷した。 ただ、非常に値段が高いため、友人は・・・。 If I (you/that/I/buy/would/ were / not) smartphone. (3)状況 友人たちの集まりにナオトも呼びたいのですが、 連絡先がわかりません。 If I (him/I/call/ his contact information, / had / would) from here. 中に語句を入れ, オリジナルの英文をつくりなさい。 A

高一数学です。（2）がわかりません。なぜ絶対値なのに二乗するんですか？

基本 例題 43 対偶を利用した命題の証明 文字はすべて実数とする。 対偶を考えて,次の命題を証明せよ。 (1)x+y=2 ならば 「x≦1 または y≦1」 (2)2 +626 ならば 「|α+6|>1 または |α-6|>3」 CHART & SOLUTION 対偶の利用 00000 p.76 基本事項 6 2章 6 命題の真偽とその対偶の真偽は一致することを利用 (1)x+y=2 を満たすx, yの組 (x, y) は無数にあるから,直接証明することは困難であ る。そこで,対偶が真であることを証明し, もとの命題も真である, と証明する。 条件 「x≦1 または y≦1」 の否定は 「x>1 かつ y>1」 (2) 対偶が真であることの証明には、次のことを利用するとよい。 解答 A≧0, B≧0 のとき A≦B ならば A'≦B2 (p.118 INFORMATION 参照。) (1) 与えられた命題の対偶は 「x>1 かつ y>1」 ならば x+y=2 これを証明する。 x> 1, y>1 から x+y>1+1 すなわち x+y>2 よって, x+y=2 であるから, 対偶は真である。 したがって,もとの命題も真である。 麺 (2) 与えられた命題の対偶は 「la +6≦1 かつ a-b≦3」 ならば2+b2<6 これを証明する。 ←pg の対偶は g⇒ b ←x>a,y>b ならば x+y>a+b (p.54 不等式の性質) 0 論理と集合 = 0 される |a+6|≦1, |a-b≦3から (a+b)≤12, (a-6)²≤32 ←|A|=A2 >1 よって (a+b)2+(a-b)2≦1+9 ゆえに 2(a²+b²)≤10 よって a²+b²≤5 ゆえに、対偶は真である。 したがって,もとの命題も真である。 ← ' + b'≦5 と 56 から a2+62<6 S POINT 条件の否定条件p, gの否定を、それぞれp, gで表す。 かつ または -PNQ=PUQ またはq かつ PUQ=PnQ PRACTICE 43° 文字はすべて実数とする。 次の命題を, 対偶を (1)x+ya ば 「xa-b または y>b」 (2)xについての方程式 ax+b=0 がただ1つ して証明せよ。 もつならば