Cho tập hợp A = $\{x \in \mathbb{N}$ | $x$ là ước chung của $30$ và $54\}$. Tập $A$ viết bằng cách liệt kê các phần tử là

Tìm số hạng chứa \(x^{31}\) trong khai triển \(\left(x+\frac{1}{x^{2}}\right)^{40}\).

Read the following passage about the Koromi trend and mark the letter A, B, C, or D on your answer sheet to indicate the best answer to each of the following questions from 31 to 40.

[I]. If you’ve done any traveling at all, you’re likely quite aware that customs and etiquette differ from one culture to another: what may be perfectly innocuous in one place may be hideously offensive in another, and vice-versa. [II]. Granted, even if you haven’t traveled at all, you’re probably aware of the fact that certain types of behavior aren’t exactly acceptable in other countries: belching at the table may be a sign of gratitude in some places, but in most areas of North America and Europe, such a display will earn you a fair bit of ire. [III]. Whether you plan on traveling to any of the places listed below or just doing business with a foreign client, it’s important to educate yourself on the standards of politesse and etiquette beforehand-the last thing you want to do is offend someone with any ignorant, boorish behavior. [IV]. Here’s how to be polite in different countries.

When dealing with Japanese clients, be sure to dress fairly conservatively, and make sure that you bow lower than they do upon meeting them. Accept gifts with both hands and open them later, not in front of the giver, and never blow your nose at the dining table. Avoid asking and answering direct questions: it’s better to imply rather than ask, and to answer with vagueness during conversations.

In Kenya, when greeting someone older or of a higher status than yourself, grip their right wrist with your left hand while shaking it; it’s a sign of respect and deference. Do ask questions about their health, family, business etc. before getting to major topics, as skipping these niceties is seen as impolite. If sharing meals, do not begin eating until the eldest male has been served and starts to eat.

Turning down an alcoholic drink is considered terribly offensive in Russia, so it’s a good idea to fortify yourself with some greasy food before heading out for a meal with Russian or Ukrainian clients. Don’t smile at strangers or they’ll think you’re deranged, and when paying for items, place your money on the counter rather than trying to hand it directly to the cashier.

According to paragraph II, which of the following is NOT acceptable behavior 

Cho các hệ bất phương trình sau:\(\left\{ \begin{align} x-2y\le 0 \\ 5x-y\ge -4 \\ x+2y\le 5 \\ \end{align} \right.\), \(\left\{ \begin{align} -x-y<4 \\ -x+2y>-2 \\ x+y<8 \\ x\ge -6 \\ y\le 6 \\ \end{align} \right.\).

Cho hình chóp $S.ABCD$ có đáy là hình chữ nhật có $AB=2a\sqrt{3}$; $AD=2a.$ $H$ là trung điểm của $AB$, $SH=3a$ và vuông góc với đáy. $\tan$ góc giữa $SC$ và $\left(ABCD \right)$ bằng

    Năm 1949, các nước phương Tây đã thành lập Liên minh quân sự Bắc Đại Tây Dương (NATO), tiếp đó học phục hồi và tái vũ trang Tây Đức, cuối cùng cũng kết nạp Tây Đức vào NATO, đe dọa nghiêm trọng đến an ninh của Liên Xô và các nước xã hội chủ nghĩa kháKhi các nước phương Tây phê chuẩn Hiệp ước Luân Đôn và Pari tháng 5/1955 (về việc Tây Đức gia nhập NATO), Liên Xô đã tuyên bố hủy bỏ các Hiệp ước đồng minh đã kí với Anh năm 1942 và với Pháp năm 1944. Tiếp đó, Liên Xô và các nước chủ nghĩa Đông Âu (gồm A-ba-ni, Ba Lan, Bun-ga-ri, Hung-ga-ri CHDC Đức, Ru-ma-ni và Tiệp Khắc) đã tiến hành cuộc họp khẩn cấp tại Vác-sa-va từ ngày11-14/5/1955. CHND Trung Hoa cũng tham gia với tư cách là quan sát viên. Các nước đã kí Hiệp ước hữu nghị, hợp tác và giúp đỡ lẫn nhau” (còn gọi là Hiệp ước Vác-sa-va). Phù hợp với Hiến chương Liên hợp quốc, các thành viên Hiệp ước cam kết không dùng vũ lực trong quan hệ quốc tế và giải quyết các vấn đề tranh chấp bằng biện pháp hòa bình; tuyên bố sẵn sàng tham gia mọi hoạt động quốc tế nhằm tìm kiếm các biện pháp tích cực để bảo vệ hòa bình và an ninh thế giới, để cắt giảm vũ khí và cấm các loại vũ khí giết người hàng loạt.

(Theo giáo trình lịch sử quan hệ quốc tế 1945-1990, trang 36)

Khi nào các nước phương Tây thành lập khối Liên minh quân sự Bắc Đại Tây Dương?

Trong mặt phẳng tọa độ Oxy , cho ba điểm \(A(-1 ; 2), B(2 ;-2), C(3 ; 1)\).

Tìm tọa độ điểm \(D\) sao cho \(A B C D\) là hình bình hành.

Cho các kết luận sau:

(a)   Trong nguyên tử \({}_1^1H\) không có neutron

(b)   Đồng vị là những nguyên tử có cùng số neutron và khác số khối

(c)   Từ cấu hình electron nguyên tử có thể xác định được vị trí (chu kì, nhóm) của nguyên tố đó trong bảng tuần hoàn các nguyên tố hóa học

(d)   Nitrogen ở nhóm VA, công thức với hợp chất khí hydrogen của nitrogen là HNO₃

Số kết luận đúng là

Read the following passage and mark the letter A, B, C, or D on your answer sheet to indicate the best answer to each of the following questions from 31 to 40.

Mountain Lions Amid Wildfires: A Struggle for Survival

Beth Pratt, the California director for the National Wildlife Federation, has spent her career protecting Los Angeles’ mountain lions. These top predators live in a rocky area surrounded by fancy houses and many roads. When wildfires destroy vast stretches of open land, the survival options for these animals become critically limited. “This is the LA area—these mountain lions can’t just move into the Kardashians’ backyard,” Pratt says, her voice filled with concern for the animals in such a difficult situation.

(I) The chaparral vegetation, covering about 10% of California, is one of the world’s most flammable ecosystems. (II) In Los Angeles, suburban sprawl intrudes on these areas, blocking wildlife escape routes. (III)Fires strip the land of food and shelter, transforming vibrant ecosystems into barren landscapes. (IV) Pratt highlights the urgency of the situation, explaining how areas that once supported life are now “taken out of commission,” leaving many species to starve or struggle for survival.

The consequences extend beyond wildlife. Wildfires have caused devastating human losses, with 88,000 people evacuated and a rising death toll of 25. Meanwhile, the non-human world suffers equally, particularly endangered species with limited ranges. Red-legged frogs, reintroduced into Santa Monica streams in 2014, are among the most affected, with their habitats repeatedly destroyed. The Woolsey Fire of 2018 was followed by mudslides that wiped out much of the region's delicate ecosystem, and scientists fear similar outcomes this time. California newts, reptiles, and snakes are also at high risk, while mammals and birds, although more likely to escape, face challenges in finding food and shelter as the ecosystem bounces back.

Despite the devastation, hope remains. The chaparral is a fire-adapted ecosystem, and life often endures beneath the soil. Seeds can survive and germinate quickly, with grasses sprouting weeks after the first rain. Shrubs may take up to a decade to recover, depending on rainfall. Prof. Stefan Doerr, an expert on wildfires, emphasizes the resilience of this landscape, noting its evolutionary adaptation to high-intensity fires occurring every 30 to 100 years. While the aftermath looks bleak, these fires play a role in maintaining biodiversity, offering a glimmer of hope for recovery.

Which of the following is NOT a factor threatening chaparral vegetation?

Read the following passage and mark the letter A, B, C, or D on your answer sheet to indicate the correct answer to each of the questions from 36 to 40.

Parents of a Tokyo elementary school are up in arms at being asked to pay 730 dollars for their child's school uniform. A public elementary school in Tokyo's upmarket Ginza district has decided to adopt new school uniforms designed by the luxury Italian designer Armani. The bespoke uniforms, which include a hat and bag, are priced at over 80,000 (730 dollars) each. Parents are angry at the school's decision and are protesting at what they view as the exorbitant price for a uniform of an eight-year-old child. The school said it wanted a designer uniform that represented the rich area of Ginza. School officials visited top department stores and decided to ask the fashion brand Armani to design the uniform.

The expensive uniform has created such a fuss that it has been discussed in Japan's parliament. One lawmaker said that since the school is public and not private, "a certain price range needs to be considered". Finance Minister Taro Aso said. "Clearly it's expensive. It would be tough if a student could not afford to pay for it." Japan's education minister said steps would be taken to ensure the financial burden placed on parents for uniforms, "would not be excessive". Twitter users said young children are not interested in designer clothes. The school principal said. "With humility, I take the criticism that the explanation has been insufficient and not well-timed. I will go on explaining carefully to those concerned."

Who said the price of the uniform was clearly expensive?

Ý nào dưới đây là thể hiện khái niệm của tín dụng?

Read the following passage and mark the letter A, B, C or D on your answer sheet to indicate the best answer to each of the following questions from 23 to 30.

SCREEN TIME: MENTAL HEALTH MENACE OR SCAPEGOAT?

    "Have smartphones destroyed a generation?" Jean Twenge - a psychology professor at San Diego State University - asked in her controversial book, iGen. In the book, she argues that those born after 1995 are facing "a mental-health crisis", and she believes it can be linked to growing up with their noses pressed against a screen. Her newest study provides more support for that connection, showing that teens who spent more than an hour or two a day interacting with their gadgets were less happy on average than those who had more face time with others.

    Twenge's conclusions have come up against criticism in the past. Some have accused her work of oversimplifying or overlooking data that may tell a slightly different story. Twenge recognises that her study suggests only a link between screen use and psychological well-being. A possible explanation is that kids are running to their screens to escape from the things in life that are making them unhappy. However, the surveys can't say whether screen time directly changes teens' mental health, the research states.

    Philanthropist Melinda Gates, whose three children were also born after 1995, wrote in The Washington Post, "phones and apps aren't good or bad by themselves, but for adolescents who don't yet have the emotional tools to overcome life's problems, they can aggravate the difficulties of growing up."

    At the same time, she said, kids are learning on their devices and connecting in novel ways. Other studies have explored the connection between social media and isolation and how "likes" activate the brain's reward centre. Some analyses have found that moderate use of these technologies is not harmful in itself and can even improve children's social skills and build emotional strength.

The word slightly in paragraph 2 is OPPOSITE in meaning to ____

Ý nào dưới đây không phải nhược điểm của cơ chế thị trường?

Cho hình chóp \(\mathrm{S} . \mathrm{ABC}\) có đáy ABC là tam giác vuông tại \(\mathrm{B}, \mathrm{SA}\) vuông góc với mặt đáy và \(S A=A B=\sqrt{3}\). Gọi \(G\) là trọng tâm của tam giác SAB . Khoảng cách từ \(G\) đến mặt phẳng \((S B C)\) bằng:

Phát biểu nào sau đây đúng về sự thay đổi tỉ trọng các ngành trong cơ cấu nền kinh tế của các nước đang phát triển?

Nhóm thực vật CAM phải cố định \(C{O_2}\) vào ban đêm. Vì ban đêm thực hiện điều gì?

Chọn đáp án đúng?

Read the following passage about humanoid robots and mark the letter A, B, C or D on your answer sheet to indicate the option that best fits each of the numbered blanks from 18 to 22.

Gary Hall Jr,_______(18), was an excellent swimmer from a young age. People were amazed at his incredible speed, and he competed at a very high level. However, life didn't make things easy for him and he had to overcome major challenges to achieve his success.

By the age of 22, Gary had already competed at the 1996 Summer Olympics in Atlanta, Georgia, USA,_______ (19). Gary was so happy and excited about his career. Then, when he was 24 years old, his doctor told him that he had a health condition called type 1 diabetes, and that he might not be able to continue swimming. Gary was devastated, but after a short break, he decided he wouldn't give up and continued to train with all his strength. ______(20)

A year later, at the 2000 Olympics in Sydney, Australia, Gary gave an amazing performance and won four more medals: two golds, a silver and a bronze. He continued his career and competed at the 2004 Olympics in Athens, Greece, where he won another gold and a bronze medal.

According to Gary, being too young in 1996 and having a health condition in 2000, _______(21). In 2004, people doubted him because they thought he was too old. However, he proved that they were wrong.

_______(22) . I admire him because he didn't give up, even when he was exhausted struggling to train and compete. With his determination, he achieved great success. From his story, we can all learn an important life lesson: "To be successful, you must try your best and believe in what you can do”.

Đọc tình huống sau và hãy cho biết: anh X đã thực hiện tốt các quyền dân chủ nào của công dân?

"Xã M triển khai mô hình Tổ nhân dân tự quản bảo vệ an ninh trật tự, an toàn xã hội trên địa bàn. Anh X tự nguyện tham gia các hoạt động tuần tra, phòng chống tệ nạn xã hội và xây dựng phong trào toàn dân bảo vệ an ninh Tổ quốc".