長文読解なんですが、5と6を教えて欲しいです。 よろしくお願いします🙏

3 次の会話文と英文は, 拓也 (Takuya) と 彼の家にホームステイしている留学生の高校生マーク (Mark) と が話したときのものです。 1~7の問いに答えなさい。 Takuya : Hi, Mark. What are you reading ? Mark: I'm reading a letter from my sister, Emily. Takuya : Oh, really? How is she? Mark: She's fine. She's now studying to be A veteri...? What does it mean? A veterinarian. It means a doctor for animals. Oh, I see. I think it's a hard job. Does she like animals? Yes, she does. What (2 k Takuya : Mark: Takuya : Mark: Takuya : Mark: You can read this letter. Takuya : Really? Thank you. Takuya : Mark: Takuya : Mark: Takuya : Da Mark: Takuya : veterinarian. And she also loves nature. She joined a group she likes very much. ) of group did she join? Dear Mark, How are you? Are you enjoying your life in Japan ? I have big news. Three weeks ago, I joined a volunteer group ( 3 ). We usually go to mountains or rivers near our town and clean them, because birds and animals sometimes eat the garbage there. We know it is not good for them. Also, in winter, we will go to one of the lakes and see how many birds there are. I heard there were about 500 birds last year. I hope this winter we will see more birds than last winter. We only do small things, but I believe that doing small things is important. Last night, I told my grandmother about our group. She enjoyed listening to me. She loves flowers and birds very much, but she uses a wheelchair now. She doesn't go out very often to enjoy nature. Then I came up with an idea. I am going to ask our volunteer group to go hiking with people like her and help them. It will be (5 if we can do so! I think she will be 6 to go with us. I will write about it next time. (it) hard kitc Love, Emily 01 ** a ウ I 02 書 03 Oh, she's so nice. I think so, too. Is volunteer work popular in Japan ? Yes. There are a lot of people who are interested in it. I want to join a volunteer group that does something for nature like my sister. I've been thinking the same thing. My mother joined a group. Her group collects used kitchen oil and makes soap from it. Oh, it's good for nature. Do you think we can join the group? I don't know. Shall I ask her about it?

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

(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

αとβの角度の範囲の考え方がわかりません

より、 より、 1 50と より 8日 =lallol "=0° が存在 省略 ($) =180° 最小値 点A(p,q)が円(x-2)^2+y=3上を,点B(u, v) が円 (x-6)2 +y'=9 上を動くとき pu+gu の最大値と最小値を求めよ. |C1.16 原点O, OA = p, g), OB = (u, v), OA と OB のなす 角を0とすると, pu+qv=OA・OB=|0||OB| cos …..… ① 点Aが中心 (2,0),半径√3の円上を, 点Bが中心 (6,0), 半径3の円上を動くので, OA, OBがx軸の正の向きとなす 角をそれぞれα, βとすると, -60° ≤a≤60°, -30°MB≦30° よって, -90° ≤a-B≤90° となり,0= |a-β より, 0° ≤0 ≤90° 3+40 200 32+√3/6 +800 つまり, 0≤cos≤1 B (i) ① の OA||OB| が最大となるのは, 図より, 点A(2+√3,0), 点B(9, 0) のときであり,このとき, 原点O,点A,点 Bが一直線上に並ぶので, cos0=1 となり, cos日も最 大となる. 2 180 PODY AND したがって, pu+qv の最大値は, (2+√3)×9×1=18+9√3 130° DS √3 AO APAC 60° ÃO 70/ 1-4751 JARD AO 大 (+) 2-√3≦0A|≦2+√3 3≤ OB ≤90AX20 ( ① OA | OB cose が最小となるのは, TAPLACI 0, OA⊥OB cos0=0. すなわち, OA-OB のときで, pu+gu の最0≦cost より. 小値は0である. 0≦|OA ||OB|cose 以上より, 最大値 18+9√3, 最小値0 3

上から16行目位のofの後の^ には何か言葉が省略されているのかと思うのですが、何が省略されてるのでしょうか？

When we think about lives filled with meaning, we often focus on people whose grand contributions benefited humanity. Abraham Lincoln, Martin Luther King, Jr., and 壮な Nelson Mandela surely felt they had a worthwhile life. However, how about us ordinary people? Many scholars agree that a subjectively meaningful existence often boils down to 主観的に (a) three factors: the feeling that one's life is coherent and “makes sense,” the possession of clear and satisfying long-term goals, and the belief that one's life matters in the grand 信念 scheme of things. Psychologists call these three things coherence, purpose, and (1) existential mattering. 存在に関する な However, we believe that there is another element to consider. Think about the first butterfly you stop to admire after a long winter, or imagine the scenery on top of a hill after a fresh hike. Sometimes existence delivers us small moments of beauty. When S people are open to appreciating such experiences, these moments may enhance how they =4 view their life. We call this element experiential appreciation. The phenomenon reflects 感謝価値評価 the feeling of a deep connection to events as they occur and the ability to extract value 抽出する. V from that link. It represents the detection of and admiration for life's inherent beauty. 発 (b) 本来備わっている。 We recently set out to better understand this form of appreciation in a series of studies that involved more than 3,000 participants. Across these studies, we were interested in whether experiential appreciation was related to a person's sense of meaning even when we accounted for the effects of the classic trio of coherence, purpose, and existential mattering. If so, experiential appreciation could be a unique (c) contributor to meaningfulness and not simply a product of these other variables. 変数の産物 As an initial test of our idea, during the early stages of the COVID pandemic, we had participants rate to what extent they agreed with different coping strategies to 対処方法 relieve their stress. We found that people who managed stress by focusing on their Avent appreciation for life's beauty also reported experiencing life as highly meaningful. In 感謝 - 1 - 有意義

この大問6の英作は丸になりますか？添削お願いします🤲

⑥6 次のA・Bの問いに答えよ。 (21) A 次の日本文中の下線 (ア) (イ)を英語になおせ。 旅行に行く前には入念な準備が欠かせない。 (ア)十分準備をしているとしても、旅行中 には困ってしまうことがある。 ( ) 子にならないうちに、誰かに目的地までどう行った らよいか聞いた方がよい。 B あなたの高校では、オンライン学習 (online learning) を行った生徒たちに対してア ンケートを実施した。 与えられた 【条件】 に従って、 【あなたの解答】の空所(×) (Y)にそれぞれ 15 程度の英語を補え。 ただし、2文以上になってもかまわない。 【アンケート結果】 ※本アンケートは同じ生徒60名に対して、2021年と2022年に実施した。 <質問>オンライン学習は効果的だと思いますか? [2021年4月施】 いいえ 52% はい 48% 【あなたの解答】 Based on the two graphs, ( I think that is because ( 【2022年4月実施】 いいえ 23% 【条件】 (1) 空所(×)には、2021年と2022年の結果を比較して読みとれることを述べる。 (2) 空所(Y)には、空所(X)におけるオンライン学習の効果の要因として 考えられることについて、あなたの考えを述べる。 - 19- 77% X ). ). 610 77 48 29

この問題解答してくださると助かります。よろしくお願いします。

V. 次の 36 36 37 1 - 38 39 40 2 3 4 3 4 2 3 4 2 3 4 40 の各組の英文の中で, 下線部に間違いがあるものを,それぞれ の中から一つずつ選びなさい。 The economist mentioned the necessity of reducing taxes. He once suffered a heavy loss on the stock market. We can't hope a quick economic recovery from the global recession. I'm searching all the folders on this computer for the missing file. The substance is said to have an anti-aging effect. There is a large difference in quality between the two products. Investors have a deep interest in the growing IT company. The typhoon has caused a great damage to the Kanto region. I didn't know our schedule had canceled until you told me so. I'd be at home having dinner now if I had caught the 6:00 train. Cindy moved to Los Angeles after she had graduated from college. Ron had been with the company for five years when he decided to change jobs. Dioxin is known to cause cancer in animals. The boy is being trained to be a pro tennis player by his father. She never imagined her husband to have such a serious disease. She invited her mother to stay with her while her husband was out of town. The new tax system was criticized for being too complicated. 2 The doctor felt his leg for checking if the bone was broken. This is a popular drug used for treating high blood pressure. I envy him for having many chances to travel abroad on business.

教えて下さると嬉しいです(><)

Circle the correct answer for each question. A. 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? 4. Which of these is a weapon? 5. Which of these flows? a. rich b. poor a. a feast b. a tree a. spending money b. receiving awards b. a rifle b. water b. ruin it b. confused b. a feast b. a contract a. a recruit a. being punished b. getting a reward B. Complete the paragraph with items from the box. Two items are extra. 6. What would profit do for a business? 7. Which would people rather be? 8. Which would you invite friends to share with you? 9. Which would you sign? 10. Which would few people enjoy? discovered resembled establishing rights faced status a. an empire a. an insect a. help it a. excited a. a contract grief the rest of (9) by Roy's son and (10) heir took over Many people change countries during their life, but one man has (1) (2) himself by his own country. During World War II, the UK built a number of artificial platforms 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, (4) one of the platforms and announced he had started his own country, called Sealand. This surprised people in the UK, who believed they had the (5) - Bates and (6) to leave the platform. However, Roy (8). made a name for weapons to the platform. orders 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. of a country, Sealand, has its own stamps, coins, and passports. It is controlled 'Prince' Michael, and is home to a large Internet business. the people on the island (his family), (7) in 11 - 15 69

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 a. excited b. confused a. a contract b. a feast a. a recruit b. a contract a. being punished b. getting a reward B. Complete the paragraph with items from the box. Two items are extra. 4. Which of these is a weapon? 5. Which of these flows? 6. What would profit do for a business? 7. Which would people rather be? 8. Which would you invite friends to share with you? 9. Which would you sign? 10. Which would few people enjoy? discovered resembled establishing rights called Sealand. faced status - Many people change countries during their life, but one man has (1) (2). This surprised people in the Bates and (6) to leave the platform. However, Roy (8). (9) by Roy's son and (10) grief the rest of heir took over 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, b. poor himself by his own country. During World War II, the UK built a number of artificial platforms made a name for weapons who believed they had the (5) the people on the island (his family), (7) to the platform. orders 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. of a country, Sealand, has its own stamps, coins, and passports. It is controlled 'Prince' Michael, and is home to a large Internet business. in 11-15

教えて下さると嬉しいです。。涙

Circle the correct answer for each question. A. likely to be jealous of someone 1. You are more 2. Which do many people decorate at Christmas time? 3. Which are people a. rich a. a feast a. spending money b. receiving awards a. an empire b. a rifle a. an insect b. water a. help it b. ruin it a. excited b. confused a. a contract b. a feast a. a recruit b. a contract a. being punished b. getting a reward B. Complete the paragraph with items from the box. Two items are extra. 4. Which of these is a weapon? 5. Which of these flows? more accustomed to? 6. What would profit do for a business? 7. Which would people rather be? 8. Which would 9. Which would you sign? 10. Which would few people enjoy? discovered resembled you invite friends to share with you? called Sealand. establishing rights faced status grief the rest of Many people change countries during their life, but one man has (1) (2) heir took over (9) by Roy's son and (10) This surprised people in the UK, who believed they had the (5) . Bates and (6) to leave the platform. However, Roy (8) - b. poor 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, b. a tree himself by his own country. During World War II, the UK built a number of artificial platforms the people on the island (his family), (7) - - made a name for weapons to the platform. orders 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. of a country, Sealand, has its own stamps, coins, and passports. It is controlled 'Prince' Michael, and is home to a large Internet business. im 11 - 15