Một vật được ném lên trên cao và độ cao của nó so với mặt đất được cho bởi công thức \(h\left( t \right) = 3 + 10t - 2{t^2}\left( m \right)\), với \(t\) là thời gian tính bằng giây \(\left( s \right)\) kể từ lúc bắt đầu ném. Độ cao cực đại mà vật đó có thể đạt được so với mặt đất bằng bao nhiêu mét?
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Ta có \(h\left( t \right) = 3 + 10t - 2{t^2}\) có đồ thị là parabol có bề lõm hướng xuống, đạt GTLN tại \(t = \frac{{ - 10}}{{2.\left( { - 2} \right)}} = \frac{5}{2}\).
Vậy \(\max h\left( t \right) = h\left( {\frac{5}{2}} \right) = \frac{{31}}{2}{\mkern 1mu} {\mkern 1mu} \left( m \right)\).
Chọn A.
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CHỦ ĐỀ: TẠI SAO CON NGƯỜI KHÔNG BỊ KHÍ QUYỂN ĐÈ ÉP?
(Tham khảo bài văn của chủ đề trong đường link dưới đây ở trang 21)
https://tvsthpt.dlib.vn/app/doc-sach-ebook/d0afa01ca011
Và trả lời câu hỏi sau:
Mức áp suất không khí tác động lên con người tương đương với trọng lượng của:
Read the following passage about The Longitude Prize and mark the letter A, B, C, or D on your answer sheet to indicate the best answer to each of the following questions
On a stormy night in 1707, four ships struck rocks off the south coast of England and sank. [I] One thousand, four hundred sailors were drowned. [II] The ships had crashed because they had no way of knowing how far they had travelled in a particular direction; they could not calculate their longitude, which required accurate time measurement. [III] In such difficult circumstances, they believed that the best response to the disaster was a competition: the Longitude Prize. [IV]
The Longitude Prize was no ordinary competition. To win it, someone had to find a way of calculating how far a ship had travelled east or west from its point of departure. Geniuses such as Sir Isaac Newton had failed to find a solution, so to ensure the interest of Britain’s greatest scientific minds, the government offered a prize of £20,000 — the equivalent of £2.6 million in today’s money. But to everyone’s surprise, it wasn’t a famous academic who solved the problem, but an unknown carpenter.
When John Harrison wasn’t working with wood, he was making clocks. An accurate clock would allow sailors to calculate their position, but at the time it was thought impossible to create a mechanical clock that could work on a ship. The movement of the sea and the changes in temperature destroyed the delicate parts. However, after three frustrated attempts, Harrison’s fourth sea clock, H4, finally triumphed. Its mechanics were so good that the H4 worked better than most clocks on land.
The Longitude Prize and Harrison’s success generated a lot of interest in the 18th century, but it was soon forgotten. However, in 2013, the British government created a new Longitude Prize, offering £10 million to the person who could solve a great challenge to humanity. An enthralled public then took part in a TV programme where viewers chose one challenge from a list of six for scientists to focus on. The question now is, will someone be able to solve it just as well as Harrison solved the challenge presented to him?
The word triumphed in paragraph 3 is OPPOSITE in meaning to ____
Dạng địa hình nào chiếm diện tích lớn nhất trên lãnh thổ nước ta?
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 best summarizes the main point of the passage?
Khi vay tín chấp, người vay cần thực hiện nhiệm vụ nào sau đây?
Hành vi nào sau đây đã vi phạm quy định pháp luật về quyền của công dân trong việc bảo vệ Tổ quốc?
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.
According to passage, which of the following is NOT a benefit of social media?
Kiến thức về địa lí tự nhiên không định hướng ngành nghề gì?
Xét phản ứng đốt cháy methane:
CH4(g) + 2O2(g) ⟶ CO2(g) + 2H2O(l) \({\Delta _r}H_{298}^o\) = – 890,3 kJ
Biết nhiệt tạo thành chuẩn của CO2(g) và H2O(l) tương ứng là – 393,5 và – 285,8 kJ/mol. Nhiệt tạo thành chuẩn của khí methane là
Phương trình \(9^x -3.3^x +2 = 0\) có hai nghiệm \(x_1, x_2\) (\(x_1 < x_2\)). Giá trị của biểu thức \(A = 2x_1 + 3x_2\) bằng:
Có bao nhiêu phát biểu sau đây là không chính xác?
(1) Công của lực điện bằng độ giảm thế năng điện.
(2) Lực điện thực hiện công dương thì thế năng điện tăng.
(3) Công của lực điện không phụ thuộc vào độ lớn cường độ điện trường.
(4) Công của lực điện khác 0 khi điện tích dịch chuyển giữa hai điểm khác nhau trên một đường vuông góc với đường sức điện của điện trường đều.
Read the following passage about lifelong learning 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] Lifelong learning is the ongoing, voluntary, and self-motivated pursuit of knowledge for personal or professional development (Knowles, 2020). [II] This concept emphasizes that learning does not stop after formal education, but rather continues throughout an individual's life, adapting to changing circumstances and needs. [III] In today’s fast-paced world, where technology and job markets evolve rapidly, lifelong learning has become increasingly essential. [IV]
One of the primary benefits of lifelong learning is its ability to enhance employability. Individuals who engage in continuous education are more likely to keep their skills relevant and competitive in the job market. According to a report by the World Economic Forum (2021), over 50% of employees will need reskilling due to technological advancements in the coming years. Lifelong learners are better equipped to adapt to these changes, making them more attractive candidates for employers.
Moreover, lifelong learning contributes to personal fulfillment and mental well-being. Engaging in new learning experiences can stimulate the brain, foster creativity, and improve cognitive function. Research indicates that individuals who pursue learning opportunities throughout their lives tend to report higher levels of happiness and life satisfaction (Smith & Johnson, 2019). Whether it is taking a course, learning a new language, or picking up a new hobby, the process of acquiring knowledge can be enriching and enjoyable.
In addition, lifelong learning promotes social engagement and community involvement. Participating in educational programs or community workshops can foster connections with others who share similar interests. This social aspect of learning can enhance one's sense of belonging and support networks, which are crucial for mental health (Jones, 2022).
Overall, lifelong learning is not just an individual responsibility; it requires support from educational institutions, employers, and communities to create an environment conducive to continuous education. By fostering a culture of learning, society can better prepare individuals for the challenges of the future and ensure that everyone has the opportunity to thrive.
The phrase "self-motivated pursuit" in paragraph 1 could be best replaced by ____.
Ý nào dưới đây là thể hiện khái niệm của tín dụng?
Cho dãy số \(\left\{\begin{array}{l}u_{1}=1 u_{n+1}=\sqrt{3 u_{n}^{2}+2}\end{array}\right.\) và \(S=u_{1}^{2}+u_{2}^{2}+\ldots+u_{2023}^{2}+2023\). Khi đó \(S\) có bao nhiêu chữ số.
Cho các phát biểu sau:
(a). Trong phòng thí nghiệm, có thể nhận biết một phản ứng thu nhiệt hoặc toả nhiệt bằng cách đo nhiệt độ của phản ứng bằng một nhiệt kế.
(b). Nhiệt độ của hệ phản ứng sẽ tăng lên nếu phản ứng thu nhiệt.
(c). Nhiệt độ của hệ phản ứng sẽ tăng lên nếu phản ứng toả nhiệt.
(d). Nhiệt độ của hệ phản ứng sẽ giảm đi nếu phản ứng toả nhiệt.
(e). Nhiệt độ của hệ phản ứng sẽ giảm đi nếu phản ứng thu nhiệt.
Số phát biểu đúng là
Nguồn năng lượng sinh ra nội lực chủ yếu là gì?
Theo quy luật biến đổi tính chất các đơn chất trong bảng tuần hoàn thì
CHỦ ĐỀ: NGƯỜI Ở BẾN SÔNG CHÂU
(Tham khảo bài văn của chủ đề trong đường link dưới đây ở trang 21)
https://tvsthpt.dlib.vn/app/doc-sach-ebook/d02db18272fe
Và trả lời câu hỏi sau:
Hoàn thành câu hỏi bằng cách chọn đáp án Đúng hoặc Sai.