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English Senior High

合ってるか見てほしいです!

6 13. My best friend and I ( ) each other since we were five. ( 神奈川大) ②have known ②know ③knew ④knowing 14. My friend from Africa ( ①has not seen ) snow until he came to Japan. ②was never seeing (日本大) never seen ②nad: 15. When Mary was introduced to Mrs. Smith, she realized she ( will have seen Dis meeting ②was meeting 3 will meet ) her before. had met (東海大) 16. At the end of next month, we ( ) here for three years. (立命館大) I have lived ②live will have lived will live 17. I really must go and see the dentist. One of my teeth ( ②will ) for weeks. ( 共立女子大 ) Dached ③ has been aching ②aches is aching ☐ 18. I ( ) my homework for an hour when my mother came home. (大阪経済法科大) Dam doing ③have been doing @had 2 was doing ①had been doing ☐ 19. She ( ) in the accounting department for 10 years by the end of next month. ①has worked ②will ③ will have been working has been working Dis working □ 20. When I woke up this morning, I decided I ( ) to get in shape. 1 want I want 2 wanted ③would want 21. Yesterday in science class, I learned that water ( ①was boiling 2 boiling 22. I will ask him about it as soon as he ( ①come ②com 2 comes 23. I'll be back before it ( ). Train ②rains (国士舘大) (杏林大) had wanted 3 ③boils ) at 100°C. (大谷大) → boil ) back. ③will come (国士舘大) would have come (立命館大) ③will will rain ④would rain

Resolved Answers: 1
Mathematics Senior High

場合の数の問題で、 (3)の別解のやり方の中でマーカーしたところを 丸と棒を使ってやる解き方で教えて頂きたいです。

練習 5桁の整数nにおいて, 万の位, 千の位, 百の位, 十の位、一の位の数字をそれぞれa, b, c, @ 34 d e とするとき, 次の条件を満たすnは何個あるか。 (1)a>b>c>d>e (1) 0,1,2, (2) a≥b≥c≥dze 9の10個の数字から異なる5個を選び, 大き (3) a+b+c+dte≦6 ←a>b>c>d>e から、 い順にα, b, c, d, e とすると, 条件を満たす整数nが1つ定 0 となる。 まるから (2)0, 1, 2,..., 10C5252 (個) 9の10個の数字から重複を許して5個を選び、 大きい順に a, b, c, d, e とすると, a≧b≧c≧d≧e≧0 を満た a=b=c=d=e=0の場合は5桁の整数にならないから、 求め す整数a, b, c,d, e の組を作ることができる。 このうち, 整数nの数は 10H5-1=10+5-1C5-1=uC5-1=2002-1=2001 (個) (3) A=α-1とおくと, a≧1であるから また, a=A+1であるから、条件の式は (A+1)+b+c+dte≦6 よって A+b+c+d+e≦5 ここで, f=5-(A+b+c+d+e) とおくと, A+b+c+d+e+f=5 420 ←○5個と9個の列 を利用して,C-1と してもよい。 注意 だけ が1以上では扱いにくい から、おき換えを行う。 ① 求める整数nの個数は,① を満たす 0 以上の整数の組 (A, b, c,d,e, f) の個数に等しい。 ゆえに、異なる6個のものから5個取る重複組合せの総数を考 えて 6H5=6+5-1C5=105=252 (個) 別解 まず, a≧0として考える。 f=6-(a+b+c+d+e) とおくと, f≧0で a+b+c+d+e+f=6 これを満たす0以上の整数の組 (a, b, c,d,e, f) は *A+b+c+d+e=k (k=0.1,2,3,4,5) と して考え HotsH +H+6H+5Ha+5H5 =Ca+sCi+C2+C3 +8C4+Cs 252 (個) でもよい。 ←αが0以上の場合から αが0の場合を除く方針。 6H6=6+6-1C6=11C611C5=462(個) また, a=0 のとき, 条件の式は b+c+d+e≦6 g=6-(b+c+d+e) とおくと, g≧0で b+c+d+e+g=6 これを満たす0以上の整数の組 (b,c,d,e, g) は 5H6=5+6-1C6=10C6=10C4=210 (個) よって, 求める整数nの個数は 462-210252 (個)

Resolved Answers: 1
English Senior High

上から5行目の And~easily. の文構造を教えて頂きたいです。justが形容詞でSVCではないのでしょうか?usの位置とthat節のはたらきが分からないです… また、下から2行目のrightの訳がよく分かりません。in the scientific literatu... Read More

S V <なぜ> ~するために 名の~倍形だ。 倍数の表し方 ~times as 形 as ⑧ Fear takes an exposure time (of 250 mill seconds) (to recognize 125 times as long as a smile), makes absolutely no sense, evolutionarily speaking", Martinez says. 66 " which 以上 ☆2分のことを対比して表現するときに用いる whileは2つの意味を持つ!①~の間、②~だけれども≒though など Recognizing fear is fundamental to survival, while a smile isn't necessarily so, but that's how we are wired!" Studies have shown that smiling faces are judged as more familiar than neutral ones.> 名詞節をつくる And it's not just us that can recognize smiles more easily. 66 This is true both for humans and for machines" says Martinez. Although scientists have been studying smiles for about 150 years, they are still (at the stage of trying to categorize types) of smile among the millions) (of possible facial expressions). 63 many One of the fundamental questioness in the scientific literature right now is, how expressions do we actually produce)?" facial 疑問詞も名詞節をつくる 66 says Martinez. Nobody knows, a

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