Cho cấp số cộng \(\left( {{u_n}} \right)\) có số hạng đầu \({u_1} =  - 2\) với công sai \(d = 3\). Công thức tính số hạng tổng quát  \({u_n}\) là 

Read the following leaflet and mark the letter A, B, C, or D to indicate the option that best fits each of the numbered blanks from 7 to 12.

PROMOTE MENTAL WELL-BEING AT HOME!

Nurturing Your Mind and Spirit

    Taking care of our mental health is just as important as our physical health, which helps us (7) ______ stress, build resilience, and lead fulfilling lives.

    Facts and Figures

·      Nature’s Impact: Studies show that spending time outdoors can significantly reduce stress (8) ______. However, many people feel they lack access to green spaces.

·      Screen Time Concerns: Excessive daily screen time is linked to increased anxiety and depression. (9) ______ spending too much time on the phone screen, why don’t we go outside and get some fresh air?

Positive Actions You Can Take

·      Designate a cozy corner in your home for reading, meditation, or simply unwinding. Make it inviting with soft lighting, plants, and comfortable seating.

·      Start a gratitude journal! Write down three things you’re thankful for each day to cultivate a positive mindset.

·      Make time for meaningful (10) ______ with family and friends. Connect with (11) ______ regularly help (12) ______ your support network and combats feelings of isolation.

·      (9) ______ spending too much time on the phone screen, why don’t we go outside and get some fresh air?

Một quả bóng bầu dục theo quy định được sử dụng trong giải bóng bầu dục quốc gia có kích thước \(28\,{\rm{cm}}\) từ đầu này đến đầu kia và đường kính \(17\,{\rm{cm}}\) ở phần dày nhất (quy định cho phép thay đổi một chút về các kích thước này) (Nguồn: NFL).

Hình dạng của một quả bóng bầu dục có kích thước nói trên có thể được tạo thành khi quay phần diện tích hình phẳng giới hạn bởi đồ thị hàm số \(f\left( x \right) = a{x^2} + bx + c\), trục hoành và các đường thẳng \(x = - 4\); \(x = 24\), trong đó \(x\) tính bằng \({\rm{cm}}\). Thể tích (đơn vị: \({\rm{c}}{{\rm{m}}^{\rm{3}}}\), kết quả làm tròn đến hàng đơn vị) của quả bóng bầu dục có kích thước nói trên bằng bao nhiêu.

PHẦN II. Thí sinh trả lời từ câu 1 đến câu 4. Trong mỗi ý a), b), c), d) ở mỗi câu, thí sinh chọn đúng hoặc sai.

Cho hình chóp tam giác \(S.ABC\) có đáy là tam giác đều cạnh \(2a\), \(SA \bot \left( {ABC} \right)\) và \(SA = a\sqrt 3 \). Gọi \(M\) là trung điểm cạnh \(BC\).

a) \(SA \bot BC\).

b) Độ dài trung tuyến \[AM = a\].

c) \(BC \bot \left( {SAM} \right)\).

d) Số đo góc giữa hai mặt phẳng \[\left( {SBC} \right)\] và \[\left( {ABC} \right)\] bằng \[60^\circ \].

Một người quan sát một chiếc phao trên mặt biển, thấy nó nhô cao  10 lần trong khoảng thời gian  36s và đo được khoảng cách giữa hai đỉnh sóng lân cận là  10m Tốc độ truyền sóng trên mặt biển là 

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

    Fashion in the 1960s reflected the cultural and political upheaval of the time. The hippie and counterculture movement gave rise to accessories like Pocahontas-style headbands and medallions worn around the neck. Hippies wore long, loosely fitting clothing, often in natural fabrics. Hemlines rose as Mary Quant popularized the miniskirt and hot pants in her lines for JC Penney. And mod fashion, with brightly colored space-age geometric patterns, shift dresses and colored tights became the mainstream. Both miniskirts and mod-shift dresses were worn with knee-high go-go boots.

    [I] During the 1970s, the loose-fitting hippie clothes of the prior decade gave way to exotic fabrics and bell-bottom jeans for men and women. Hemlines continued to rise and hot pants continued their popularity, reflecting the flashy style of the decade. However, the 1970s also saw the popularity of a longer hemline, from mid-calf to ankle-length. [II] Women wore peasant-style clothing, especially blouses with off-the-shoulder necklines and lace trim, with their jeans or skirts. [III] Disco fashion emerged, featuring bright patterns and tightly fitting clothing meant to show off the body. Platform shoes elevated their wearer, male or female, anywhere from two to four inches or more. [IV]

    The 1980s saw another fashion upheaval. Angst-ridden punks wore Dr. Marten and steel-toed army boots, chains, tartan patterns, and bondage pants. Punks focused more on their hair during this period, dying, teasing and chopping their hair into asymmetric styles that seemed to defy gravity. Women–and men–experimented with heavy eyeliner in a variety of colors. Women wore neon colors, jelly shoes, tight jeans, leggings, leg warmers and oversized sweatshirts. Menswear-inspired looks also became popular for both sexes. Men wore ‘power suits,’ named so for their price, which made these suits a reflection of the wealth of the wearer. Women’s jackets featured big shoulder pads that made the shoulders appear higher and larger, similar to the male silhouette.   

    1990’s fashion was far more subdued than the garish, wild styles of the 1980s. Bands like Nirvana influenced the grunge look, which featured rock-concert tee shirts under plaid flannel shirts, jeans and long, greasy hair. Overalls were worn by both sexes, either with one or both shoulder straps unhooked. The punk style of the 1870s and 1980s evolved into the goth fashion trend, which featured black clothing, black boots and studded bracelets in the style of bands like Nine Inch Nails and Marilyn Manson.