（1）で、3で割った余りで場合分けするのはなぜですか？

p. 20+1, 40+1がいずれも素数であるようなかをすべて求めよ。 9. 29+1, 4qー1, 6q-1.8q+1がいずれも素数であるようなqを9 べて求めよ。 2 (一橋大)

解説では必ず通る点をA.B.Cとしているのですがそのような点はどのようにして決めたら良いのでしょうか？

連続して並ばない文字列は何通りできるか。 (同志社大) 18 Lv.★★★ 解答は38ページ xy 平面上にx=k(kは整数) またはy=l(は整数)で定義される碁盤の 目のような街路がある。4点 (2, 2), (2, 4), (4, 2), (4, 4)に障害物があっ て通れないとき, (0, 0) と (5, 5)を結ぶ最短経路は何通りあるか。(京都大)

（1）で3で割ったあまりで分類するのはなぜですか？

) D, 2p+1, 4p+1がいずれも素数であるようなかをすべて求めよ。 2 9. 29+1, 4q-1, 6q-1, 8q+1がいずれも素数であるようなqを9 べて求めよ。 (一橋大)

この文でのaheadの意味、分かる方いますか...? どうかよろしくお願い致します。

in a clearing only 25 yards away. I take the shot. I feel lucky but also regretful that my anticipated long day in the woods is over, with plenty of processing worl= ahead.

どういう順番に並べ替えるのか分かりません🤔 分かるところだけでも大丈夫なので教えてください🙏

(1) Livestock farming has a vast environmental footprint. It contributes to land and water degradation, biodiversity loss, acid rain, coral reef degeneration and deforestation. Nowhere ( * ) ( ); livestock farming contributes 18% of human produced greenhouse gas emissions worldwide. The ア. more apparent イ. than ウ. is エ. climate change オ. in カ、this impact ) through increased risk of pae (2) Climate change ( ) ( * ) ( ) ( ) ( ) ( and has extreme weather events such as floods, droughts and heatwaves been described as the greatest threat to human health in the 21st century. eoe l a イ. multiple ア. health and well-being ウ. poses エ. risks オ, alone カ. to 消費金 架8。 (3) Reducing consumption of animal products is essential if ( ) ( ) ( ) ( * ) d イ. for ウ. we are ア.greenhouse gas emissions エ. reduction targets オ。 global カ, to meet

カッコに文章と一致する英単語を書くのですが、まったく分かりません😢 教えて頂きたいです🙇‍♀️

ぎの語句が意味する語を答え、下線部の意味も調べなさい 2) The top of layer of the earth in which plants, trees etc. grow (s 3) The measurement in degrees of how hot or cold a thing or place is (t 1) The science or practice of farming ( a へ へ 4) The amount of water in the air(h へ ) fo use more of something thanI necessary or useful ( w W 6) A place where you can buy and eat a meal ( r へ "A plant that is grown in large quantities, especially as food ( c amine people or things to see how thev are similar and how they are different (c 2 へ レ へ 99 To give something to someone or make it available for them to use (p 10) An amount of something that is provided or available to be used (s へ 11) The conditions that affect the behavior and development of someone or something (e へ 12) A substance obtained by or used in a chemical process (c へ 13) To gradually grow or become bigger, more advanced, stronger, etc (d 14) To be connected with something or someone ( r 15) A talk that is given to a group of people to teach them about a particular subiect, often as part of a university or college course ( 1

ここ全て教えて頂けませんか？

Drills mm 11 Complete the sentences. Use the verbs beloww and change to the appropriate form. A 語 1. His hobby is ( 2. The baby started( ) postcards. )when she was left alone. W lhy onillet on )golf is a great pleasure for father. )a ticket for the concert? 3. my すること」 4. Is there any chance of ( [get/ collect / cry/play] ogl esu bnim aroy 2 Fill in the blanks and complete the sentences. A B 1. a) I don't like( 私は大きな声で歌うのが好きではありません. ) in a loud voice. の か a poou apon Golla b)I don't like ( 私は彼が大きな声で歌うのが好きではありません。 ) in a loud voice. To her あ 日 2. a) She is aware of ( 彼女は,自分が小説家としての才能を持っていることに気づいています。 ) talent as a novelist. ne .e 1ee b) She is aware of her ( 彼女は,息子が小説家としての才能を持っていることに気づいています。 ) talent as a novelist. bioe pine or W. F ddal 3 Complete each seri SD that they mean the same thing. d er obuebaiel ioL (6)ST 1. a) John is sure that he is loved by his grandparents. b) John is sure of ( ating t) ( eerd ") by his grandparents. 2. a) He is very proud that he passed the examination. b) He is very proud of ( 3. a) She is disappointed that she doesn't have her own room. b) She is disappointed about ( 4. a) I'm ashamed that I was scolded by my teacher. nod (o) men 1 (o) nin) (sb pniosn) the examination.onaR (b) mid gnilel ted alieme ) her own room. b)I'm ashamed of ( by my teacher. 4) Complete the sentences and read them aloud.Grammar in Context My father insists on 1. during this Golden Week holiday. 父はこのゴールデンウィークに私たち家族を遊園地に連れていくと言っています. My mother has agreed to his plan, but she 2. 母は父の計画に同意しましたが, ジェットコースター (roller coasters)に乗ることをいやがっています。 sbiosb 0r 10Tg ogol Anyway, I am sure of 3. ともかく,私は両親が遊園地で楽しい時間を過ごすことと思います。 at the amusement park. ST

(2).(3)の問題を教えてくださいm(*_ _)m

1 thid (2) そんな考えが浮かばなければよかったのに。(1語不要) I( )( ) ( )(sibea) (8 (17) He 1. my mind 5. never Jet.1 4. the thought 2. occur 3. across 6. had 7.come にds mi (8. wish loma au 2ublome o彼のような抜け目のない男が、新しい事態に適応できないはずはなかったのにね ( JP bropy (2語不要) Such an alert man as he ( x) () ) (日)) ( )(l)(es) to the uiod (new situation. 1. adapt t urysa S bise 2. adopt 3. couldn't 4. fail 5. failed 6. havebios s 7. himself w lite 8. to hanismen od2 ) busia。 2nibusie lo .E breta of S 3mbusta 1

(2).(3)が分かりません。わかる方がいらっしゃれば教えてくださいm(*_ _)m

a hink the efbrt (2)そんな考えが浮かばなければよかったのに。(1語不要) derstand ) as oH (0) 1uo)( (1 e 1. my mind 5. never 4. the thought ter 3. across 7.come eds (8. wish lolididog yedT ) 2. occur 6. had ublome mot o)彼のような抜け目のない男が、新しい事態に適応できないはずはなかったのにね (2語不要) Such an alert man as he ( ) ( ing ) (日)) ( t )(o) to the bise aiod new situation. 1. adapt S eshimg 4. fail 2. adopt 6. havebioos si 7. himself nibnsie lo .8 3. couldn't 5. failed te 8. tobadismn od2 0) busia breto

解き方を教えてください🙇‍♀️

記述-A個 lers 不等式|x--くを満たす整数x は何個か。 14 3 process omotional memoriles. また, a>0のとき, 不等式|x-→一<aを満たす整数 xが5個であるよう 3 なaの値の範囲を求めよ。 記述-B 8 of sloep start to Tound ana Collesgues eep oomparod to young dgr Gme remembering fhinge inked to reducions in deop optlona tor enhancing deep