Có bao nhiêu cặp số nguyên \((x, y)\) thỏa mãn điều kiện \(0 \leq y \leq 100\) và \(x^{6}+6 x^{4} y+12 x^{2} y^{2}-19 y^{3}+3 x^{2}-3 y=0\)?

a. Arjun: I think they're things farmers use to kill bugs on their plants.

b. Arjun: And they can get into the water and make it dirty for us to drink.

c. Luca: So they're not good for the environment or for people.

d. Luca: Do you know what pesticides are?

e. Luca: That's right. My mum said they can also hurt the soil.

Phát biểu bằng lời của mệnh đề $P$: ''$\exists x \in \mathbb{Z}, \, x^2=1$'' là

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

[I] Sperm whales are fascinating creatures. [II] They possess the biggest brain of any species, six times larger than a human’s, which scientists believe may have evolved to support intelligent, rational behavior. [III] They’re also highly social and capable of making decisions as a group. [IV] But there’s also a lot we don’t know about them, including what they may be saying to one another when communicating with a system of short clicks, known as codas.

Now, new research published in Nature Communications today suggests that sperm whales’ communication is actually much more expressive and complicated than was previously thought. A team of researchers led by Pratyusha Sharma at MIT’s Computer Science and Artificial Intelligence Lab (CSAIL) working with Project CETI, a nonprofit focused on using AI to understand whales, used statistical models to analyze whale codas and managed to identify a structure to their language that’s similar to features of human language. Their findings represent a tool future researchers could use to decipher not just the structure but the actual meaning of whale sounds.

For the study, the researchers examined recordings of 8,719 codas from around 60 whales collected by the Dominica Sperm Whale Project between 2005 and 2018, using a mix of AI algorithms for pattern recognition and classification. The AI then turned the clicks within the coda data into a new kind of data visualization called an exchange plot, revealing that some codas featured extra clicks. These extra clicks, combined with variations in the duration of their calls, appeared in interactions between multiple whales, which they say suggests that codas can carry more information and possess a more complicated internal structure than we had previously believed.

The team’s next step is to build language models of whale calls and to examine how those calls relate to different behaviors. They also plan to work on a more universal system that could be used across species, says Sharma. Taking a communication system we know nothing about, working out how it encodes and transmits information, and slowly beginning to understand what’s being communicated could have many purposes beyond whales. “I think we’re just starting to understand some of these things,” she says. “We’re very much at the beginning, but we are slowly making our way through.”

The word “decipher” in paragraph 2 can be best replaced by ___________.

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.

According to paragraph 2, which of the following is NOT a benefit of Trampolining?

Nguyên tử R có phân mức năng lượng cao nhất (ở trạng thái cơ bản) là 2p⁴. Tổng số hạt mang điện trong nguyên tử R là

Cho tứ diện \(A B C D\). Trên các cạnh \(A D\) và \(B C\) lần lượt lấy các điểm \(\mathrm{M}, \mathrm{N}\) sao cho \(\overrightarrow{A M}=3 \overrightarrow{M D}, \overrightarrow{N B}=-3 \overrightarrow{N C}\). Gọi \(\mathrm{P}, \mathrm{Q}\) lần lượt là trung điểm của \(\mathrm{AD}, \mathrm{BC}\). Khẳng định nào sau đây sai?

Cho dãy các chất: tinh bột, cellulose, glucose, saccharose. Số chất trong dãy thuộc loại disaccharide là bao nhiêu?

Số lượng của một loài vi khuẩn trong phòng thí nghiệm được tính theo công thức \(S\left( t \right)=A\cdot {{(1+r)}^{t}}\), trong đó \(A\) là số lượng vi khuẩn ban đầu, \(S\left( t \right)\) là số lượng vi khuẩn có sau \(t\) (phút), \(r\) là tỉ lệ tăng trưởng \((r>0),t\) (tính theo phút) là thời gian tăng trưởng. Biết rằng số lượng vi khuẩn ban đầu có 500 con và sau 6 giờ có 2000 con.

Sau bao nhiêu phút (làm tròn đến hàng đơn vị) kể từ lúc bắt đầu thì số lượng vi khuẩn đạt ít nhất 120000 con?

Một người bắt đầu cho xe máy chạy trên một đoạn đường thẳng. Trong 10 s đầu xe chạy được quãng đường 50 m, trong 10 s tiếp theo xe chạy được 150 m. Tốc độ trung bình của xe máy trong 20 s đầu tiên là bao nhiêu?

Cho xâu st=’abc’. Hàm len(st) có giá trị là?

Từ nào sau đây không phải là từ Hán Việt?

Trên ô tô con, vành được chế tạo như thế nào?

Ý nào dưới đây là thể hiện đặc điểm của mô hình sản xuất kinh doanh hợp tác xã?

Để sao chép ảnh từ vùng mẫu sang vùng đích cần thực hiện?

Theo truyền thống, hóa học được chia thành bao nhiêu chuyên ngành chính?

Read the following leaflet and mark the letter A, B, C or D on your answer sheet to indicate the option that bestfits each of the numbered blanks from 7 to 12.

Social Media: A Double-Edged Sword

Social media has become an (7) _____  part of modern life. While it connects people worldwide, it also poses challenges we must address.

Benefits:

Social media enables us to share knowledge, connect with friends, and promote businesses. Many people use it to explore (8) _____ exciting opportunities, from freelancing to e-learning.

Challenges:

However, overuse of social media can lead to addiction. People often find it hard to (9) _____ from their screens, affecting their productivity and health. Furthermore, misinformation spreads quickly on platforms, (10) _____risks to individuals and society.

Recommendations:

To make the most of social media, users should focus on reliable content and limit their time online. Effective content moderation policies are needed to create safer digital spaces. (11) _____ spending hours scrolling aimlessly, set time limits to achieve a balanced routine.

By following these steps, we can enjoy numerous benefits while avoiding its pitfalls. Remember, responsible use is key in the (12) _____ of this digital era.

Trong không gian với hệ tọa độ Oxyz, cho hình vuông \(ABCD,\,\,B(3;0;8),\,\,D(-5;-4;0)\). Biết đỉnh \(A\) thuộc mặt phẳng (Oxy) và có tọa độ là những số nguyên, khi đó \(|\overrightarrow{CA}+\overrightarrow{CB}|\) bằng:

Tần số của chuyển động tròn đều là