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Mathematics Senior High

184. 2つ質問があります。 ①<と書いて間違えたのですが、半分以下は≦(半分も含む)と覚えておけと言うことですか?余談ですが、5以下だと5も該当するということですよね?? ② ①以外で記述で問題がある箇所はありますか??

基本例題184 対数の文章題への利用 28000① A町の人口は近年減少傾向にある。 現在のこの町の人口は前年同時期の人口と 比べて4%減少したという。毎年この比率と同じ比率で減少すると仮定した場合, 初めて人口が現在の半分以下になるのは何年後か。答えは整数で求めよ。ただし, |log102= 0.3010, 10g10 3 = 0.4771 とする。 [立教大] J 指針 文章題を解くときは, 次の①~④の要領で行う。 ① 文字の選定 ② 不等式を作る 2年後の人口は 0.96ax (1-0.04)=(0.96)² a 以後、 同じように考えて, n年後の人口は ③ 不等式を解く ここでは,両辺の常用対数をとる。 ④解を検討する ・・・・・・ n は自然数であることに注意。 LUASE en log10 197 ここで VOAST 現在の人口をαとし, n年後に人口が半分以下になるとする。 1年後の人口は a(1-0.04)=0.96a 練習 184 解答 現在の人口をaとして, n年後に人口が現在の半分以下になる 現在の人口を1としてもよ とすると い。 200 ! 両辺の常用対数をとると 96 100 ...... (0.96) as 1/24 すなわち (1000)=1/2 96 n 20 1 25.3 "De 01 102 logio 2 n≧ 96 log101 =10g10 100 = 5log10 2+log103-218.0-ITTA.0 +01|S, U- =log1025+10g10 3-10g 10 102 Equ =5x0.3010+0.4771-2=-0.0179 よって、①から -0.0179m≦- 0.3010 ゆえに 0.3010 =16.8...... 0.0179 したがって、初めて人口が現在の半分以下になるのは 17 年後 10g10- 01/13=10g102-'=-log102=-0.3010 (0.96)" a 基本183 100 <10>1 であるから,不等 号の向きは変わらない。 「初めて・・・」 とあるから, n≧ 16.8….. を満たす最小の自 然数を求める。 光があるガラス板1枚を通過するごとに,その光の強さが だけ失われるもの とする。当てた光の強さを1とし、この光がn枚重ねたガラス板を通過してきた ときの強さをxとする。 (1)xをnで表せ。 (2)の値が当てた光の 281 より小さくなるとき、最小の整数nの値を求めよ。 [北海道+) 287 5 3 E 用 対 数

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English Senior High

英作文の添削をお願いします。😌

[4] Read the instructions and write a well-organized answer in English. (50 points) Virtual reality (VR)* refers to a high-quality simulation of reality created by a computer. Probably the most famous use for VR so far is gaming. But VR has also been used to improve society in various fields such as education, medicine, and engineering. Describe a single specific way that virtual reality can be used to improve society. Explain your idea in detail in about 100 English words. Notes: Virtual reality (VR)*: VR systems use special glasses that completely cover the user's eyes. These glasses show a very realistic picture of a world created by the computer. In addition, the systems can tell when the user moves their head, arms, and sometimes other body parts. So users can control the action by natural movement. Some systems even let users feel like they are touching things. Thus, VR systems can make users feel like they are really in another world. 〔答案〕 I suggest you to simulation with VR. For example, doctors can practice operation. I have the three reasons. First, VR's display is very real. So doctors can do as if real simulation. Second, every one can make simulation software. If you want add patients information to VR and study how to make software, you can make VR software to yourself. Third, medical professors can use VR simulation in lecture. If they do this, Students who want be surgeon in the future will reduce about operation's anxiety. In this way, VR have a lot of possibilities that useful of medical field. For these reasons, I suggest VR simulations.

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English Senior High

答えはBです。 後者ははアメリカ英語を学習した人にとってはなじみがある。 従って/言い換えると、両方とも正しい英語である。 変ですか? CとDがおかしい理由教えてください。

The latter may be more familiar to those The former is common in who have learned American English. Why did this happen? Noah Webster, a textbook author and Great Britain, Canada and Australia. lexicographer, wanted "Americanized" spelling and pronunciation of words, different from those in Great In 1828, he published a two-volume dictionary which greatly helped to make the Americanized Britain. spelling common. The fact of the matter was it was part of American nationalism. After winning political from Great Britain in 1776, Americans became more conscious of developing their own identity as a new In literature, Americans rejected such European criticism nation. Nationalism rose in various fields. The northeastern region produced world-famous American as "Americans have no national literature." Which is more familiar to you, "centre" or "center"? writers I Edgar Allan Poe, a detective story writer and Ralph Waldo Emerson. In addition to these writers, there were also inventors who greatly helped in advancing American industry. Cyrus Hall McCormick, the inventor of the reaper, and Samuel F. S. Morse, the developer of the telegram code, are two such inventors. 間 1 In diplomacy, President James Monroe issued in 1823 the so-called "Monroe Doctrine," a warning to European nations not to interfere with America and the Western Hemisphere. It was the American This policy of isolationism embraced in the doctrine continued as the U.S. intention to be オ diplomatic policy until the end of the century. While challenging European criticism and power, young America tried to be more independent of Europe, not only politically, but economically, culturally and diplomatically. (2) lexicographer: ##*** isolationism: ŽÈ* ア both are correct English. 33 空所 A In addition reaper: 刈り取り機 interfere 干渉する Brajcich and Tanioka (2010) Eye on American Culture (**) ***** ア を満たすのに最も適切なものを、A~Dのうちから1つ選べ。 B However C Therefore D In other words

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English Senior High

この英文の100字要約をお願いします🙇‍♀️⤵️

Read the passage and answer the questions that follow. (1). „Why do batteries matter? Look at all your electronic devices: from laptops to smartphones to Kindles or iPads, even your watch. Those electronics are getting more energy-efficient and require less energy than they used to. But as they do, people get greedy and want their capabilities to increase. The battery, or how much energy you can 05 store in a given volume and weight, is the defining factor in this whole field. Then there are electric cars. If we can make batteries with double the "energy TR2Z density of today's and drive the price below $200 per "kilowatt-hour (versus $300 to $800 today, depending on type and weight), we could have a car with a 300-mile range, even with the air conditioner or heater turned up, that would sell for $25,000 to $30,000. The 10 Department of Energy's goal is to get batteries to $150 per kilowatt-hour by the year 2020. 01 Finally, there are the "utility-scale batteries, which are very important for renewable TR28 energy. Wind and solar power are going to become more common. Wind is already the second-cheapest form of new energy, after shale gas, and it will become the cheapest 15 15 within a decade. Right now "utility companies get about 4 percent of their power from renewable sources other than "hydro- and that 4 percent is roughly all from wind. We may see a day when renewables make up 50, 60, 70 percent of the total supply of energy. Utility companies will need batteries to stabilize the flow of renewable energy into the *grid, and also require a better electrical control system to (3)do the switching. People 20 may have these batteries at their homes instead of generators. All of this would create a huge market. But the effects would be more profound. T There are mountainous places even in the U.S., like western Alaska, that will never be connected to the electric grid. There aren't enough people, and the distances are too great. There are many parts of South Asia like this, too. But they will have solar and 25 wind power - which, in 10 or 15 years, are going to be as cheap as any other form of energy, or cheaper. Once you have "storage systems, you can put a little "solar installation on your roof or "a plot of land, and then you will have your electric supply! It will be like cellphones' "leapfrogging the "land-line era. It will transform the prosperity of the world. 【Notes】 energy density エネルギー密度 (ここでは電池の容量を意味する) kilowatt-hour キロワット時 (1キロワットの機器を1時間使ったときの消費電力量) utility-scale 電力供給に使う規模の hydro utility company t storage 貯蔵 (ここでは電気を蓄えておくことを意味する) grid solar installation a plot of land 一画の土地 land-line 地上 (の電話) 線 by a factor of two (増減の幅が)2倍で (50pts.) leapfrog 〜を一足跳びにする

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English Senior High

教えて下さると嬉しいです( •̥-•̥ )

A. Circle the correct answer for each question. likely to be jealous of someone. 1. You are more 2. Which do many people decorate at Christmas time? 3. Which are people more accustomed to? a. rich a. a feast b. a tree a. spending money b. receiving awards a. an empire b. a rifle a. an insect b. water a. help it b. ruin it 6. What would profit do for a business? a. excited b. confused 7. Which would people rather be? a. a contract b. a feast 8. Which would you invite friends to share with you? a. a recruit b. a contract 9. Which would you sign? a. being punished b. getting a reward 10. Which would few people enjoy? B. Complete the paragraph with items from the box. Two items are extra. Which of these is a weapon? 4. 5. Which of these flows? discovered resembled establishing rights faced status by Roy's s grief the rest of Many people change countries during their life, but one man has (1) (2) son and (10) heir took over This surprised people in the UK, who believed they had the (5) . Bates and (6) to leave the platform. However, Roy (8). in the sea to contain (3) that would be used to fight off invaders. After the war, the soldiers left these platforms and they were forgotten - until 1967. In that year, a British man, Roy Bates, one of the platforms and announced he had started his own country, (4) called Sealand. b. poor himself by his own country. During World War II, the UK built a number of artificial platforms made a name for weapons the people on the island (his family), (7) In 1968, a court decided that the UK had no power over Sealand. Just like other places with the that the platform was in international waters. to the platform. orders of a country, Sealand, has its own stamps, coins, and passports. It is controlled 'Prince' Michael, and is home to a large Internet business. 11 15 69

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Mathematics Senior High

(2)線を引いたところから分かりません💦 教えてください😭

=) 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 「la +6/>1 または |a-6|>3」 CHART & SOLUTION 対偶の利用 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。 A≧0, B≧0 のとき A≦B ならばA'≦B2 (p.118 INFORMATION 参照。) 解答 (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。 (IN したがって,もとの命題も真である。 員 (2)与えられた命題の対偶は 「|a+b≦1 かつ |a-6≦3」 ならば d² +626 43 これを証明する。 |a+b|≦1,|a-6≦3から (a+b)²≤1², (a−b)² ≤3² (a+b)²+(a−b)² ≤1+9 よって ゆえに よって したがって,もとの命題も真である。 2(a²+6²) ≤10 a²+62≦5 ゆえに, 対偶は真である。 p.76 基本事項 6 r=as+2 POINT 条件の否定条件 p, g の否定を,それぞれ , gで表す。 かかつかまたは g PNQ=PUQ pまたはg かつ PUQ=PnQ ⇒αの対偶は gp <x>a,y>6 ならば x+y>a+b (p.54 不等式の性質) |A|²=A² a+b2≦5 56 から a²+ b² <6 30 79

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