Tìm \(m\) để góc giữa hai vectơ \(\vec{u}=\left(1 ; \log _3 5 ; \log _m 2\right), \vec{v}=\left(3 ; \log _5 3 ; 4\right)\) là góc nhọn.

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 advertisement 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 1 to 6.

ANNOUNCEMENT

The Ho Chi Minh Communist Youth Union is pleased (1)______a field trip for qualified 12th-grade students. This is a wonderful opportunity to explore nature and learn about a (2)______.

Destination: Trang An Scenic Landscape Complex

Date: Saturday, January 20, 2025

Trang An is a mixed heritage site (3)______by UNESCO. It owes its beauty (4)______majestic limestone mountains and a network of unique caves. The area is also known for its stunning natural scenery. With its rich history, it is a destination that’s (5)______ for those who love discovering culture and nature.

The trip will include cave exploration, boat rides, and learning about the region's cultural landscapes. To (6)______a decision about joining, please contact your homeroom teacher to register before January 15.

Let’s plan a field trip filled with meaningful experiences and unforgettable memories!

Dãy số \(\left\{ \begin{align} & {{u}_{1}}=\sqrt{2} \\ & {{u}_{n+1}}=\sqrt{{{u}_{n}}+2} \\ \end{align} \right.\) bị chặn trên bởi \(a\). Tìm \(a\).

Hai vật được thả rơi tự do đồng thời từ hai độ cao khác nhau h₁ và h₂. Khoảng thời gian rơi của vật thứ nhất bằng một nửa khoảng thời gian rơi của vật thứ hai. Bỏ qua lực cản của không khí. Tỉ số các độ cao $\dfrac{h_1}{h_2}$ bằng

Read the following passage about fitness trends 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.

FITNESS TRENDS

[I] Reformer Pilates is an advanced and more intense variation of traditional Pilates. [II] Since this type of equipment isn’t something you would typically have at home, you’ll need to visit a specialized Pilates center to try it. [III] While it might look easy at first, don’t be fooled - by the end of the session, your thighs will be burning, and you might struggle to walk up or down stairs for a few days afterward. [IV] This workout pushes your body to its limits, providing a more challenging experience than standard Pilates, and many find it an effective way to build both strength and flexibility.

Trampolining is another popular fitness trend, and although it may seem like child's play, it’s actually a highly effective workout. Jumping up and down on a trampoline can leave you feeling exhausted after just a few minutes. Surprisingly, it’s even better for heart health than running, while also improving coordination and helping to reduce stress levels. Trampolining is gaining widespread popularity, with new centers popping up that feature as many as 150 trampolines. These facilities offer options for everyone: you can enjoy 'freejumping,   where you bounce without an instructor, or pay for professional lessons to learn the best techniques and get the most out of your workout. Many people are discovering that trampolining combines fun and fitness in a way that makes staying active much more enjoyable.

If you're someone who is typically active but feeling down or emotionally drained, Dynamic Running Therapy might be just what the doctor ordered. This trend involves running with a therapist, combining the benefits of physical exercise with talk therapy. Though these sessions are often more expensive than typical therapy sessions because of the professional fees, they offer significant advantages. Running while talking helps distract you from any discomfort, allowing you to cover longer distances, and creates a relaxed, open environment that can make it easier to talk compared to the usual therapist’s office setting.

Where in paragraph 1 does the following sentence best fit?

“It includes similar pushing and stretching exercises but is performed using special equipment that resembles a rowing machine.”

Cho tam giác \(ABC\) có \(c = 4,b = 7,\widehat A = {60^ \circ }\). Tính chiều cao \({h_a}\) của tam giác ABC (làm tròn đến hàng đơn vị)?

Khi bị bắt nạt qua mạng, theo em thì các tác động đó ảnh hưởng đến một người theo cách nào?

Read the following passage about managing change 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. 

Growing up in Athens, Greece, Lydia Borsi remembers feeling tested when she tried to deal with mental health issues. Borsi says she had been seeing a therapist for anxiety. But she notes that people in Greece do not openly discuss mental health issues, which also get little attention in general healthcare services. “It was a lot more secretive. And people thought that I was a lot more unique,” Borsi said.

That all changed in 2017 when she moved to the United States to study at the University of Rochester in Rochester, New York. “When I came here, I really liked that people were not afraid to speak up about mental health and say that it’s important,” she said. The university was very supportive of her needs and offered plenty of information. She also became involved with a school group called Active Minds that helps students deal with mental health issues. [A]

Then due to the spread of the novel coronavirus, the University of Rochester had to move all its classes and some of its mental health resources online. Luckily, Borsi was able to connect with a mental health expert outside the school, in the local community. [B]

But as many of her American friends returned home, Borsi was stuck. Greece had succeeded in limiting the spread of the virus within its borders, but flights there from the U.S. are barred until July. Also, the health crisis has put her plans to seek admission to medical school in Britain on hold. [C] And she is not alone.

[D] In April, Active Minds launched a survey of over 2,000 students at U.S. colleges and universities. The study found that over 80 percent of those asked said the coronavirus crisis had negatively affected their mental health. One in five said it has affected them severely.

Laura Horne, chief program officer at Active Minds, says the findings are especially troubling given that the crisis is only going to make it harder for colleges and universities to help these students. “Colleges and universities had to pivot rather quickly to respond to COVID-19 and figure out all facets of university life, including mental health services. Now they have to figure out how to communicate with students,” Horne said.

Frank Chen is a Houston, Texas-based psychiatrist who has worked with college-age young adults. He points out that individuals at that age are in an important stage of their mental development. And college can be a difficult experience for students with or without mental health issues, as they balance work, studies, and personal relationships. Adding a major world event, like the spread of the coronavirus, makes it very difficult to predict what the long-term psychological effects might be. “I don’t think that there’s another event in the history of the people who are alive now that can really measure up to this,” said Chen.

The word ‘they’ in paragraph 6 refers to

Trong quá trình xây dựng pháp luật, nhà nước luôn cố gắng đưa những nội dung nào dưới đây vào trong những quy phạm pháp luật?

Dialogue arrangement:

a. In that case, I’ll draw you a map.

b. If you can wait five minutes, I’ll walk you there.

c. Where can I get good pho around here?

d. I’m in a hurry and need to leave now.

Hai đặc khu hành chính nằm ven biển của Trung Quốc là gì?

Giá trị của hàng hóa được đo bằng gì?

Sự phân bố electron trên các phân lớp thuộc các lớp electron dựa vào nguyên lí hay quy tắc nào sau đây?

Tình trạng lạm phát tác động như thế nào đến hoạt động đầu tư, sản xuất - kinh doanh?

Mệnh đề nào sau đây đúng?