1. His brother goes to the theater once a month.

2. I usually store onions basket in the kitchen shelf.

1 His brother goes to the theater once a month

2 I usually store onions basket on the kitchen shelf

1. You should not eat a large meal before bedtime.

2. It takes him two hours a day to read a book about adventure.

3. Would you like to buy tickets for the concert?

1 You shouldn't eat large meals right before bedtime

2 It takes him two hours a day to read books about adventure

3 Would you like to buy tickets for the concert?

`#3107.101107`

\(\left(x+\dfrac{1}{3}\right)^2=\left(\pm\dfrac{2}{3}\right)^6\\ \left(x+\dfrac{1}{3}\right)^2=\left[\pm\left(\dfrac{2}{3}\right)^3\right]^2\\ \left(x+\dfrac{1}{3}\right)^2=\left(\pm\dfrac{8}{27}\right)^2\)

TH1: \(x+\dfrac{1}{3}=\dfrac{8}{27}\\ x=\dfrac{8}{27}-\dfrac{1}{3}\\ x=-\dfrac{1}{27}\)

TH2: 

\(x+\dfrac{1}{3}=-\dfrac{8}{27}\\ x=-\dfrac{8}{27}-\dfrac{1}{3}\\ x=-\dfrac{17}{27}\)

Vậy, `x \in {-1/27; -17/27}.`

\(\left(x+\dfrac{1}{3}\right)^2= \left(\dfrac{2}{3}\right)^6\)

\(\Rightarrow x+\dfrac{1}{9}=\dfrac{64}{729}\)

\(\Rightarrow x=\dfrac{64}{729}-\dfrac{1}{9}\)

\(\Rightarrow x=\dfrac{64}{729}-\dfrac{81}{729}\)

\(\Rightarrow x=-\dfrac{17}{729}\)

Vậy...

\(\left(x+\dfrac{1}{3}\right)^3=\left(\dfrac{2}{3}\right)^6\\ \Rightarrow\left(x+\dfrac{1}{3}\right)^3=\left[\left(\dfrac{2}{3}\right)^2\right]^3\\ \Rightarrow\left(x+\dfrac{1}{3}\right)^3=\left(\dfrac{4}{9}\right)^3\\ \Rightarrow x+\dfrac{1}{3}=\dfrac{4}{9}\\ \Rightarrow x=\dfrac{4}{9}-\dfrac{1}{3}\\ \Rightarrow x=\dfrac{4}{9}-\dfrac{3}{9}\\ \Rightarrow x=\dfrac{1}{9}\)

`((-27)^10 . 16^25)/(6^30 . (-32)^15)`
`= (3^30 . 2^100)/(2^30 . 3^30 . -2^75)`
`= (2^100)/(2^30 . -2^75)`
`= (2^70)/(-2^75)`
`= -2^145`

A = \(\dfrac{\left(-27\right)^{10}.16^{25}}{6^{30}.\left(-32\right)^{15}}\)

A = \(\dfrac{\left(3^3\right)^{10}.\left(2^4\right)^{25}}{\left(2.3\right)^{30}.\left(-32\right)^{15}}\)

A = \(\dfrac{3^{30}.2^{100}}{2^{30}.3^{30}.\left(-2^5\right)^{15}}\)

A = \(\dfrac{3^{20}.2^{100}}{3^{30}[2^{30}.\left(-2\right)^{75}].}\)

A = \(-\dfrac{2^{100}}{\left[2^{30}.\left(2\right)^{75}\right]}\)

A = -2^{100 - 30 - 75}

A = - 2^70-75

A = -2^-5 

A = - \(\dfrac{1}{32}\)

a \(\in\) Z; b \(\in\) n*; n \(\in\) N* a < b

Ta có: \(\dfrac{a}{b}\) = 1 - \(\dfrac{b-a}{b}\)

           \(\dfrac{a+n}{b+n}\) = 1 - \(\dfrac{b-a}{b+n}\)

Vì b > a nên  b - a > 0, mà n; b \(\in\) N* nên

 \(\dfrac{b-a}{b}\) > 0; \(\dfrac{b-a}{b+n}\) > 0

⇒ \(\dfrac{b-a}{b}\) > \(\dfrac{b-a}{b+n}\)

⇒ \(\dfrac{a}{b}\) < \(\dfrac{a+n}{b+n}\)

b; Vì a > b mà b \(\in\) N* nên a \(\in\) Z⁺

\(\dfrac{a}{b}\) = 1 + \(\dfrac{a-b}{b}\) 

\(\dfrac{a+n}{b+n}\) = 1 + \(\dfrac{a-b}{b+n}\)

Vì a > b mà a \(\in\) Z⁺ nên a - b > 0

Mặt khác: b; n \(\in\) N* nên \(\dfrac{a-b}{b}\); \(\dfrac{a-b}{b+n}\) > 0

⇒ \(\dfrac{a-b}{b}\) > \(\dfrac{a-b}{a+n}\) (hai phân số dương có cùng tử số, phân số nào có mẫu lớn hơn thì phân số đó nhỏ hơn và ngược lại)

⇒ \(\dfrac{a}{b}\) > \(\dfrac{a+n}{b+n}\) (Hai phân số phân số nào có phần hơn lớn hơn thì phân só đó lớn hơn)

1. 

My sister loves painting. She paints every weekend in her room. She likes to use bright colours and paint flowers and animals. Sometimes, she goes to art classes to learn new techniques. Her favourite colour is blue, so she often paints the sky. Her paintings are very beautiful. I enjoy watching her paint because she is very creative and happy when she is working on her art.

2. 

There is some advice on how to stay healthy. First, you should eat good food. Eat fruits and vegetables every day and drink plenty of water. Second, exercise is important, so try to walk or play sports for 30 minutes. Finally, sleep well at night to feel good in the morning. It is also good to be happy and spend time with friends and family. Follow these tips to stay healthy and strong!

3. 

Hi Phong,

There are good things. Last summer, I did some volunteer activities. I helped clean the park in my neighbourhood. We picked up trash and planted flowers. It was fun to work with my friends and meet new people. I also volunteered at a local animal shelter. I fed the animals and played with them. I felt happy to help. 

I can’t wait to hear about your summer!

Best,

Chau

Jsbcjkq kanusne wanna ajaxm wid

1 Reuse means using something again instead of throwing it away

2 Did your school organise a donation drive last winter?

1. Reuse means using something again instead of throwing it away.

Giải thích: 

- Câu đưa ra định nghĩa → dùng thì hiện tại đơn. 

- instead of + V-ing: thay vì 

Dịch: Tái sử dụng có nghĩa là sử dụng lại thứ gì đó thay vì vứt nó đi.

2. Did your school organise a donation drive last winter?

Giải thích:

- last winter - dấu hiệu thì quá khứ đơn. 

- (?) Did + S + V(bare-inf). 

- donation drive - danh từ số ít xuất hiện lần đầu → cần “a” ở trước. 

Dịch: Trường của bạn có tổ chức hoạt động quyên góp vào mùa đông năm ngoái không?

1 My mother is fond of going jogging in the morning

2 My sister finds it difficult to lift weights

3 We collected plastic bottles and sent them to the factory

1 My mother is fond of going jogging in the morning

2 My sister finds it difficult to lift weights

3 We collected plastic bottles and sent them to the factory

Olm chào em, lần sau em đăng câu hỏi lên diễn đàn thì đăng trực tiếp nội dung câu hỏi lên đây em nhé, vì không phải ai cũng có thời gian để đi tìm đề bài trên sách giáo khoa như em nói cả. Vì vậy muốn được trợ giúp tốt nhất và nhanh nhất thì em đăng trực tiếp bài tập lên trên này, cảm ơn em đã đồng hành cùng Olm.