Grade

Subject

Type of questions

Mathematics Senior High

指数関数の問題なのですが(2)を求める時は地道に探していく方法しかないのですか...?また、探し方のコツなどがありましたら教えて頂きたいです。

EX EX X3 ⑤ 122 負でない実数aに対し, 0≦x<1で, a-r が整数となる実数r を {a} で表す。 すなわち, {a}は、 αの小数部分を表す。 (1){nlog10 2} < 0.02 となる正の整数nを1つ求めよ。 (2)10進法による表示で2”の最高位の数字が7となる正の整数nを1つ求めよ。ただし、 0.3010 <log102<0.3011, 0.8450<log107 < 0.8451である。 10倍 (1) 0.3010<log102 <0.3011 から 3.0101010gio2 <3.011 log102<3.011010 1010gio2 の整数部分は3で,その小数部分は 1010g102-3 ゆえに すなわち 3.010-3<1010g102-3<3.011-3 0.010 <{10log102} <0.011 <0.02 よって,{nlog102} < 0.02 となる正の整数nは n=10 (2) 2” の最高位の数字が7であるとき を正の整数として X3 IST 2015 7・10m≦2"<8・10m ←700.0≦2"≦799...9 0001<'S 各辺の常用対数をとって log10 (7.10m)≦log102" <10g10 (8・10") m個 m個 00011 01-4 ゆえに m+10g107≦nlog102 <m+log10 8 ここで, 0.8450 <10g107 < 0.8451であり, J よって 0.8451 {nlog102} < 0.9030 (*) 実験 10g10 8 = 310g102 から 0.9030 <10g108 < 0.9033 を満たす正の整数nを見つければよい。 数を組み合わせて極限まで近つける 1.8060 <610g10 2 <1.8066 から 0.8060 <{610g1o2}<0.8066 0.8060 +0.010×4<{4610g102}<0.8066+0.011×4 (1) より, 0.010<{1010g102}< 0.011 であるから 9 .8066+ ゆえに 0.8460<{4610g102}< 0.8506 よって, n=46のとき, 0.8451 <{nlog102}<0.9030 を満たす。 n=46 したがって 求める正の整数nは 注意 n=56のとき 0.8560 <{5610g102}<0.8616 01 よって, n=56も(*) を満たすから,これを答えとしてもよい。 ←610g 102の小数部分が, (*)の範囲に近いので, これを利用することを考 える。

Resolved Answers: 1
English Senior High

英作文の添削をお願いします。🙏 写真一枚目 問 写真二枚目 回答 写真三枚目 解答例・問和訳等

名古屋大・文系 English words in length (Indicate the number of words you have written at the end of your answer. Do not count punctuation such as compras or periods as words 1 200 donors and delivers blood products to those who need them. Figure A below By year the Japanese Red Cross Society collects blood from voluntary shows how the mambers of younger (between the ages 16 and 39) and older between the ages 40 and 69) blood donors have changed in Japan from 2000 to 2019, as well as how the number of all blood donors has changed for the nineteen-year period. Figure B shows the total amount of blood donated in Linear trend lines are shown in dotted lines. Japan from 2000 to 2019 7.000.000 6.000.000 5.000.000- 4.000.000 3.000.000 2.000.000 1.000.000 Figure A Age (1639 years) A Age (40-69 years) .... ● All donors B. 1999 2001 2003 2005 2007 2000 2011 2013 2015 2017 2019 Years Amount of blood donated (liters) 2.000.000 2.000.000 1,500,000- 1.000.000- 500,000- Figure B QUESTIONS 2023 17 04 1999 2001 2003 2005 2007 2009 2011 2013 2015 2017 2019 Years Adapted from: Ministry of Health, Labour and Welfare website https://www.mhlw.go.jp/stf/seisakunitsuite/bunya/0000063233.html Write three 1. Describe what the Figure A show. trend lines in approximately 30 to 50 words. (Indicate the number of words you have written at the end of your answer Do not count punctuation such as commas or periods as words.) 2. Describe the trend depicted in Figure B. and explain how the amount of blood donated per donor has changed since 2000 by referring to both (Indicate the Figures A and B. Write approximately 30 to 50 words. Do not number of words you have written at the end of your answer. count punctuation such as commas or periods as words.)

Resolved Answers: 1