Ảnh đâu bạn?

$\color{#87CEFA}{\text{@456}}$

42 told off

43 brought up

44 looked up

45 get on

46 fell for

47 falling out

48 gotten over

tra google

bạn sao chép ở google phổng

1. Look! The car is moving so fast.

2. Listen! Someone is whispering in the next room.

3. Is your friend sitting next to the beautiful girl over there at present?

4. Now Joy is trying to pass the examination.

5. It’s 11 o’clock, and my mom is cooking lunch in the kitchen.

6. Keep silent! You are singing so loudly.

7. I am not staying at home at present.

8. Now Hana is lying to her mother about her bad marks.

9. At present they are traveling to LA.

10. Jim is not working in his office now.

\(#FallenAngel\)

bạn đang hỏi gì?

1 Which planet is the biggest in our solar system?
2 He is the worst doctor I've ever known.
3 She is the happiest woman in our office.
4 This is the most boring film I've ever seen this week.
5 We have many books, but this is the most interesting one.
6 We have many subjects, but I think English is the most important.
7 That is the cheapest hat in our shop, Madam.
8 She is the best singer in America.
9 Maths is the most difficult for me. I like English and Art.
10 He is the most careful student in our school.

1 the biggest

2 the worst

3 the happiest

4 the most boring

5 the most interesting

 Dịch đề: Cho dãy số 2, 7, 12, 17, 22, 27,..., 302, 307. Tìm chữ sồ hàng đơn vị của tích tất cả các số trong dãy.

 Solution (in English):

 In the sequence, there are \(\left(302-2\right):10+1=31\) numbers that end with 2 and \(\left(307-7\right):10+1=31\) numbers that end with 7.

 Therefore, the unit digit of the product is also the unit digit of:

 \(A=2\times2\times2\times...\times2\times7\times7\times7\times...\times7\)

          (31 numbers 2)       (31 numbers 7)

 We have to find out what is the final digit of \(2\times2\times...\times2\)  (31 times) and \(7\times7\times...\times7\) (31 times)

 Consider the number \(N=2\times2\times...\times2\) (\(n\) times)

 If \(n=1\), then \(N=2\)

 If \(n=2\), then \(N=4\)

 If \(n=3\), then \(N=8\)

 If \(n=4\), then \(N=16\rightarrow\) the last digit is 6

 If \(n=5\), then \(N=32\rightarrow\) the last digit is 2

 If \(n=6\), then \(N=64\rightarrow\) the last digit is 4

 If \(n=7\), then \(N=128\rightarrow\) the last digit is 8.

 If \(n=8\), then \(N=256\rightarrow\) the last digit is 6.

...

 From here we can see a pattern: If \(n\) has a remainder of 3 when being divided by 4, the last digit of N is 8. Thus, the final digit of \(2\times2\times...\times2\) (31 times) is 8 since 31 has a remainder of 3 when being divided by 4.

 Using the same method of reasoning, we can deduce that \(7\times7\times...\times7\) (31 times) ends with 3.

 Therefore, the final digit of A must be the final digit of \(8\times3=24\), which is 4.

 So the answer is 4.

The number of terms in the above squence is:

\(\left(307-2\right):5+1=62\) (terms)

The total number squence above is:

\(\left(307+2\right)\times62:2=9579\)

So....

Charles doesn't live far from his aunt's house.

=> Charles doesn't live far from his aunt's house.

\(#FallenAngel\)

C. shouldn't

\(#FallenAngel\)

C.shouldn't

2 enough

3 too

4 everywhere

5 might

6 been

b, It was in some woods and hills near where they lived.

c, The writer wanted to see his/her favourite rock and pop musicians.

d, There wasn't enough space for the all the tents.

e, Because there were too many people.

f, The music was too loud.

-----------------------------------

2 have just run

3 Have - looked - yet

4 haven't had - yet

5 have already tried

6 tidy

#\(yGLinh\)

Bài 2

1 went

2 enough

3 too

4 everywhere

5 may/might

6 been

right

khó thiệt