Công thức tính tốc độ dài của chuyển động tròn đều là

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

Tìm giới hạn hàm số : \(\underset{x\to7}{\lim}\,\frac{\sqrt{x-3}-2}{{{x}^{2}}-49}\). 

(Làm tròn kết quả đến chữ số thập phân thứ hai).

Tam giác \(ABC\) có \(AB = \sqrt 2 ,\;AC = \sqrt 3 \) và \(\widehat C = 45^\circ \). Tính độ dài cạnh \(BC\). 

Mark the letter A, B, C, or D on your answer sheet to indicate the correct option that best fits each of the numbered blanks from 18 to 22.

          The philosopher St. Augustine famously stated, "The world is a book, and those who do not travel read only a page." This notion aligns with the value of study-abroad programs, (18)_______ diverse cultures, languages, and perspectives. These programs are not merely about academic learning but are transformative journeys that often leave a profound impact on participants. Students describe these experiences as "rewarding" and even "life-changing," (19)________. Such programs not only enrich students academically but also prepare them to navigate a globalized world with empathy and understanding.

      A significant advantage of studying abroad lies in its ability to enhance experiential learning. Unlike traditional classroom instruction, firsthand encounters—such as observing art in its original context or engaging with local communities—can deepen one's understanding of a subject. As one student observed after viewing Michelangelo's David, (20)_________. Such moments sharpen one's senses, cultivate a sensitivity to beauty and pain, and foster a deeper awareness of the interconnectedness of human experiences.

     Moreover, studying abroad nurtures self-reflection, an essential aspect of personal growth. By documenting their experiences, students can analyze their values and beliefs (21)________. This reflective process not only enhances their capacity to adapt but also helps them better understand themselves and their aspirations. As educators recognize these multifaceted benefits, efforts continue to expand access to study-abroad opportunities, ensuring (22)________.

Cho hình chóp đều \({\rm{S}}.{\rm{ABCD}}\) có tất cả các cạnh bằng nhau. Góc giữa đường thẳng SA và mặt phẳng ABCD là \({{\rm{n}}^o }\) với n là số thực. Giá trị của n bằng bao nhiêu?

Chọn ý đúng: Nhân tố được cho có vai trò quyết định đến sự phát triển của xã hội loài người là?

Trong không gian \(O x y z\), cho mặt cầu \((S)\) có phương trình: \([x-(m-1)]^{2}+(y-1)^{2}+(z+1)^{2}=4\)

Khi \(m=3\), mặt phẳng \((P)\) qua \(I\) và vuông góc với \(O I\) có phương trình là:

Hydrogen phản ứng với nitrogen tạo thành ammonia \(\left(\mathrm{NH}_{3}\right)\) theo phương trình sau:

\(3 \mathrm{H}_{2(\mathrm{~g})}+\mathrm{N}_{2(\mathrm{~g})} \rightarrow 2 \mathrm{NH}_{3}(\mathrm{~g})\).

Cho \(\Delta_{\mathrm{r}} \mathrm{H}_{298}^{0}=-92,38 \mathrm{~kJ} / \mathrm{mol} ; \Delta_{\mathrm{r}} \mathrm{S}_{298}^{0}=-198,2 \mathrm{~J} / \mathrm{mol}\).K. Biến thiên năng lượng tự do Gibbs \(\left(\Delta_{\mathrm{r}} \mathrm{G}_{298}^{0}\right)\) của phản ứng trên \(ở \ 25^{\circ} \mathrm{C}\) là

Cuộc Cách mạng Công nghiệp lần thứ 4 (Công nghiệp 4.0) đánh dấu sự kết hợp giữa công nghệ vật lý, kỹ thuật số và sinh học, làm thay đổi cách con người sống và làm việc. Nền tảng của nó là các công nghệ như trí tuệ nhân tạo (AI), Internet vạn vật (IoT), chuỗi khối (blockchain) và robot. Công nghiệp 4.0 tạo ra các hệ thống tự động hóa và kết nối mạnh mẽ, tăng cường hiệu suất sản xuất và quản lý.

Dưới đây là một số nhận xét về thông tin trên:

Read the following passage about Preserving Today's Soundscapes for Future Generations 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.

Sonic time capsules save today's sounds for future people. Scientists capture everyday sounds like streets, birds, and children playing in parks around the world. These recordings help us remember our world before changes. Cities are losing unique sounds as life becomes similar everywhere. Old machines, music, and natural sounds might disappear if not saved. Many important cultural sounds are already lost forever because nobody thought to record them when they still existed.

Sound collectors use microphones to record in different places. They visit forests, oceans, cities, and villages to capture soundscapes throughout different seasons and times of day. They store sounds in digital libraries for years. Museums have rooms for listening to past sounds. These experiences help people understand history in ways books cannot. Some researchers travel to remote locations to record indigenous languages and traditional ceremonies before they vanish from our collective memory.

Climate change is changing world sounds. Melting glaciers, endangered animals, and disappearing languages need saving before they're gone. Researchers believe future people will want to know how our world sounded. These capsules will be important records, like photographs. Scientists study how sounds affect human health. The sounds of nature can reduce stress and improve mental health, which makes preserving natural soundscapes even more important for future generations who may live in highly urbanized environments.

Community projects invite people to record daily sounds. Children learn to listen carefully to the world around them and identify sounds that matter to their community. Old people share recordings from their childhood. People feel emotions when listening to these collections. Artists create music using everyday recordings. These projects help communities protect special sounds for the future. Some cities now have sound preservation policies that protect unique acoustic environments just as they would protect historic buildings or natural landscapes from development.

In which paragraph does the writer explain how sounds are collected and stored?

    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)

Liên Xô đã có hành động gì khi khối liên minh quân sự NATO ra đời?

Read the following passage about world festivals and mark the best answer to the questions from 11 to 18. 

     World festivals have a big impact on young people today. Festivals such as Christmas, Diwali, Halloween, and Chinese New Year are celebrated across the globe, bringing people together. Young people especially enjoy these events because they offer a chance to have fun, learn about different cultures, and develop a global mindset.

     Festivals help young people appreciate diversity. Attending a festival from another culture teaches them new traditions, food, music, and art. For example, attending the Rio Carnival or the Holi Festival of Colors can give young people an exciting experience of new cultures. They learn to respect and understand people from different backgrounds, which is important in today’s world.

     Another impact is that festivals allow young people to express themselves creatively. Many festivals include costumes, dances, and music that encourage self-expression. For instance, during Halloween or a music festival like Coachella, young people often wear creative outfits or costumes that reflect their personalities. This makes them feel confident and allows them to experiment with new styles.

    Festivals also offer opportunities for young people to connect with others. Meeting people at festivals, whether in person or online, helps them build friendships and networks. Social media plays a big role in this, as many young people post about their experiences, spreading awareness of the festivals they attend.

     Overall, world festivals provide many learning and social experiences for young people, helping them grow into more open-minded and creative individuals. 

Which of the following is TRUE according to the passage?

Nguyên tử O có 8 electron. Biểu diễn sự sắp xếp electron trong nguyên tử O theo orbital nào sau đây là đúng?

Chọn một từ/ cụm từ mà loại từ của nó KHÔNG cùng nhóm với các từ/ cụm từ còn lại.

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

[I] Social media has become a dominant force in modern communication, offering a range of benefits and challenges. [II] It has revolutionized the way people interact, share information, and even form relationships. [III] While these platforms offer opportunities for connection and expression, they also have their drawbacks. [IV] For instance, excessive use of social media has been linked to a range of negative effects, including mental health issues, social isolation, and decreased productivity. [V] However, when used responsibly, social media can also offer a variety of positive outcomes, such as the ability to stay connected with loved ones, network professionally, and access valuable information and resources.

One of the major benefits of social media is its ability to keep people connected. For example, individuals who live far apart can maintain close relationships through regular communication on these platforms. Social media also facilitates professional networking, allowing users to connect with potential employers or clients, and enabling companies to promote their products and services to a global audience. Additionally, platforms like Facebook, Twitter, and Instagram provide a space for people to share ideas, opinions, and creative work, fostering a sense of community and collaboration.

Despite these advantages, there are serious concerns about the negative impact of social media, particularly on mental health. Studies have shown that excessive social media use can contribute to feelings of anxiety, depression, and loneliness. This is often attributed to the unrealistic portrayals of life that are commonly shared on these platforms, leading to comparisons that can make individuals feel inadequate or left out. Furthermore, constant exposure to negative news or online bullying can exacerbate these feelings and contribute to long-term psychological stress.

Another issue with social media is its potential to distract people from their daily responsibilities. With notifications constantly popping up and endless streams of content to scroll through, individuals may find it difficult to focus on tasks such as work, school, or personal obligations. This can result in decreased productivity and a lack of attention to important matters.

Ultimately, the impact of social media depends on how it is used. If individuals are mindful of their usage patterns and take steps to limit their time on these platforms, they can enjoy the benefits of staying connected and informed without the negative consequences. Parents, educators, and mental health professionals can also play a role in helping young people develop healthy habits and manage their social media use effectively.

Which of the following best summarizes the passage?

Khi nói về sóng điện từ, phát biểu nào sau đây là sai?

Cấu hình electron lớp ngoài cùng của nguyên tử các nguyên tố halogen là

Mark the letter A, B, C or D on your answer sheet to indicate the best arrangement of utterances or sentences to make a meaningful exchange or text in each of thefollowing questions from 13 to 17. 

Hi Alice,  

a. I am writing this letter to tell you about my experience of traveling to Switzerland with my father 

b. Switzerland is obviously a normal person’s dreamland with serene views and the experience of a lifetime in this country.  

c. I came to know that Switzerland is not just about big cities but also enriched with natural beauty and amazing natural views, a combination of fun, beautiful and soothing vacation 

d. I will tell you more when you visit me at home. Take care!

e. I hope this letter finds you in the best of health. I am also doing well on this side.

Best,  

Emma  

Nguyên tố Q có số hiệu nguyên tử bằng 14. Electron cuối cùng của nguyên tử nguyên tố Q điền vào lớp, phân lớp nào sau đây?

Nội dung nào dưới đây không phản ánh đúng về vai trò của tri thức lịch sử?