日本語に翻訳してくれる方いらっしゃいますか😭

F UXIT How many hours of sleep did you get last night? For years, scientists have tried to work out how long we should sleep to help our bodies and minds to function best. In 1951, two researchers at the University of Chicago made a breakthrough by identifying an important stage of sleep called REM sleep. 5 REM is an abbreviation for Rapid Eye Movement and the name comes from 由来する。 AFG the very fast movement of the eyes during sleep. In REM sleep, the brain is active but the body is asleep. When a person is having dreams they are often in REM sleep. During this time, the eyes might move quickly in reaction to something seen in a dream. Someone in REM 10 sleep may wake up suddenly to a noise and be able to remember the dream in detail. ju While REM sleep is known as the body's sleep, non-REM sleep is known as ryhmis the mind's sleep. During non-REM sleep, the brain relaxes while the body produces growth hormones so it can recover. About 80 percent of sleep is lat 15 non-REM sleep. If you sleep for seven to eight hours a night, only about one and a half hours are spent in REM sleep. In one night, a person will continue to repeat a cycle of both REM and non-REM sleep, which lasts about 90 NEXU prinsteil minutes. HO Many people will repeat about five cycles each night to help them function 4 people 20 best. However, other people may need to repeat (fewer or more cycles. Interestingly, while Leonardo Da Vinci only slept for about 90 minutes per おりりない day, Einstein needed ten hours of sleep. Still, both of them became famous 海 for their artistic and scientific achieveme achievements. Perhaps they were getting just the right amount of rest for their bodies and minds(aby) 116 for their artistic and scientific の 95. godinu b many more most bady brain nch

この問題で、写真のようにｙ軸をとっても答えを導けますか？ なかなか答えにたどり着けないので教えてください。 ちなみに答えは2a³/3 です。

※【A2】 底面の半径が αで高さもαである直円柱がある。 この底面の直径 AB を含み底面と45°の傾きをなす平面 で,直円柱を2つの立体に分けるとき, 小さい方の立体 の体積を求めよ。 iy A Jza. B ay

所有形容詞はわかるのですが、問題の答え方が分からないです。教えていただけると嬉しいです🙇‍♀️🙇‍♀️

2. 次の問いに所有形容詞を使って答えなさい. 1) C'est votre clef? 2) Ce n'est pas ton école ? 3) Ce sont les chiens de Georges ? 4) C'est la fille de Monsieur Dupont? 次の文をフランス語にしなさい. 1) ぼくはこちらの車のほうが好き (préférer ⑥ ) だ. 2) 彼らの両親はロンドン (Londres) にいる. — — — — Oui, c'est... Si, c'est... Non, ce ne sont pas.. - Oui, c'est...

急ぎです！ この７つとも証明できる方いませんか？ よろしくお願いいたします。

C 13 28 INDICES (Chapter 2) These examples can be generalised to the following index laws: If the bases a and b are both positive, and the indices m and n are integers, then: am xan = am+n am an = am-n (am)n = amn (ab)n = anfn a n an (7) ª = bn aº = 1, a 0 1 a-n = an = | To multiply numbers with the same base, keep the base and add the indices. To divide numbers with the same base, keep the base and subtract the indices. When raising a power to a power, keep the base and multiply the indices. The power of a product is the product of the powers. The power of a quotient is the quotient of the powers. Any non-zero number raised to the power of zero is 1. 1 and in particular a-1 Example & Hio

線形代数の非同次連立一次方程式に関する質問です。 拡大係数行列と係数行列のrankが等しくないため、解は存在しないと思ったのですが、解答には解が存在するとなっていました。 なぜそうなるのか過程を含めて教えていただきたいです。お手数ですがよろしくお願い致します。

(3) 3x - 2x - x + 3y - z = 6 y-2z3 y 3z=0

答えと、なぜその答えになるのか教えてほしいです。 よろしくおねがいします。

17. I was so late arriving at the airport yesterday that I ( shopping. 4 seldom (1) 1 almost 2 scarcely 3 nearly 18. There's some water in my bottle but there's ( ) in his. (3) few 4 hardly any (IX) 1 not one (2) any ) all of them can read and write English. 19. ( 1 Every 2 Any 3 Not 4 None (L 20. That couldn't be ( ) from the truth. (1 away 2 further 3 out 4 longer ( [2] 誤っている下線部を選び, 訂正しなさい。 (10点) 1. 7 Few was known about the nature of human adaptation in the deserts and m of northwestern China I until just a few decades ago. (京都外語大) 2. Although language is a communication tool, 1 everybody in the world speak same language. (2) (広島経済大) 3. 7 By the time we had pulled the drowning child from the water, he I wasn't s breathing. (TIX) 4. - Jack ) had time to do any souver

答えと、なぜその答えになるのか教えてほしいです。 分かる所だけでも構いません。 よろしくおねがいします。

I/I 1. My sister ( 2. I don't like ( 1 other 2 either 3. He expected to get a lot of votes but ended up with relatively ( 1 few (2) little 3 many 4 much ( 4. He said ( ) a single word of apology. 4 not (B) 1 no 2 none 3 nor "Am I bothering you?" "No, not in the ( 5. )." (1) better 2 less 3 best 4 least (INA) 6. ) see other ) see each other anymore. each Since we live very far apart now, we ( apart now, we ( 1 daily 2 rarely 3 usually 4 always (IA) 7. We canceled the party because ( ) of the people we invited could come. anybody 8. She has ( ) studies, but she always gets good grades. 4 always (EX) 1 hard 2 hardly 3 nearly ) of two pictures. 3 neither 4 another (FMX) ). (2) none 3 nobody 4 anyone UEA) ) friends at her new school. 1 few 2 few of 3 a lot 4 much (MX)

英語の文法問題です。 解説お願いします。

Composition Rearrange the words within the parentheses to make sentences. 1. 海洋の微生物で分解できないプラスチックゴミは環境問題専門家たちを大いに心配 させる問題である。 Non-biodegradable plastic trash in (an/ concerns / environmentalists / is / issue / ocean / that / the ) greatly.

数3の媒介変数のとこなんですけど… Ｙの範囲を出す時に判別式を使ってると思うんですけど、tの実数が存在するとはなぜわかるのですか？

Check 曲線の媒介変数表示(2) 介! 例題 76 次の媒介変数表示は,どのような曲線を表すか. (tは媒介変数) 13NONG|x=2(t- x = 2 (t + + + + 1) 2(12) (1) 1+t² BU (2) |y=t-1 2t 1+t² 考え方 媒介変数を消去する. 分数式を含む場合は、t=(x,yの式) や f2=(x,yの式)に変形する他に、 することなどを考えてみよう. また、含まない点がある場合があるので, x,yの変域に注意しよう. 2-x 2(1-t²) £y, ²²=²+2 (x-2)(x+2)²=2-x より、 解答 (1) x=- 1+t2 ONGES x=-2のとき、 2t ① を代入して整理すると. y=1tt2 (59 より 2-x 2y 3..... OPOK, Hav1+. x+2) t= x+2 /2y^2-xRoo 4y -2-x+miaky, = x+2 ② を①に代入して、 x+2, x+2 0 2009 2 4y²=(x+2)(2-x) sin204y=x²+42000nia-1-| -2 ここで, x=-2 とすると, y=0 より 点(-2, 0) は除く. ①より,xキー2のとき,f=2-X≧0 だから、 x+2 -2<x≦2 2t また, y= より yt2-2t+y=0 ・③ y=0 のとき ③の判別式をDとすると, 9 1=1-y≧0より、-1≦y≦1 (y≠0) y=0 のとき, ③より, t=0J したがって,x,yの変域は, -2<x≤2, -1≤y≤1/√#Hoda よって与えられた媒介変数表示は, 楕円x2+4y2=4 (点(-2,0) は除く) を表す. A * 1)24(-2) 除く点 π

画像のQ3　(B)と(C)に関しての質問です。 (b)√2がℚ√3　[a+b√3❘a,b∈ℚ]　の要素でないことを示せ (C)φ : (Q(√2) − {0}, ×) → (Q(√3) − {0}, ×)とφ : (Q(√2), +) → (Q(√3), +)が同型写像... Read More

3. (16 marks) Given a prime number k, we define Q(√k) = {a+b√k : a,b ≤ Q} ≤ R. This set becomes a field when equipped with the usual addition and multiplication operations inherited from R. (a) For each non-zero x = Q(√2) of the form x = a - a a+b√2, prove that x-1 b = ²-26² a²26² √2. -262 (b) Show that √2 Q(√3). You can use, without proof, the fact that √√2,√√3, are all irrational numbers. (c) Show that there cannot be a function : Q(√2)→ > Q(√3) so that : (Q(√2) - {0}, ×) → (Q(√3) − {0}, ×) and 6 : (Q(√2), +) → (Q(√3), +) are both group isomorphisms. Hint: What can you say about (√2 × √2)?