Các achj giúp elm
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UN
1
E
15 tháng 11 2021
Bằng một cách thần kì, ta tính được A = \(\dfrac{3^{^{12}}-1}{2}\)
Ta sẽ chứng minh 312 - 1 ⋮ 10, như vậy thì (312 - 1) : 2 là một số nguyên chia hết cho 5
Thật vậy:
Ta có 32 = 9 \(\equiv\) -1 (mod 10)
=> (32)6 \(\equiv\) (-1)6 (mod 10)
=> 312 \(\equiv\) 1 (mod 10)
=> 312 - 1 \(\equiv\) 0 (mod 10)
Hay 312 - 1 chia hết cho 10
Vậy bài toán đã được chứng minh
H
22 tháng 6 2021
I. Choose the best answer A, B, C or D
1. My teacher lives __D______ 45 Elm street.
A. under
B. on
C. in
D. at
2. Parents should take good care of their children and _C___ them from wrong doings.
A. take
B. protect
C. protest
D. get
3. John swims very well and ___B_____ does his brother.
A. also
B. so
C. even
D. too
4. I have heard nothing from him since ___D______.
A. he had left
B. he leaves
C. he has left
D. he left
5. I’m hungry. Is there anything ____D_______?
A. to be eaten
B. for eating
C. eating
D. to eat
II. Complete the words with the correct letter.
1.INTERESTED 2 WORRIED 3 PAINTED 4 KNOWN 5 UNDERSTOOD 6GATE 7PHYSICS 8MATCHES 9RIDE 10CLIMB
III. Complete the words with the correct letter.
1. goes/ school/ to/ Monday/ from/ every week/ he/ to/ Friday.
…………HE GOES TO SCHOOL EVERY WEEK FROM MONDAY TO FRIDAY…………………………………………………………
2. do/ often/ she/ in/ time/ free/ what/ ?/ does/ her.
………WHAT DOES SHE OFTEN DO IN HER FREE TIME……………………………………………………………
3. family/ here/ in/ moved/ my/ 2004.
………MY FAMILY MOVED HERE IN 2004……………………………………………………………
4. spent/ two/ cleaning/ hours/ floor/ she/ the/ last night.
………SHE SPENT 2 HOURS CLEANING THE FLOOR LAST NIGHT ……………………………………………………………
5. will/ he/ the/ theatre/ go/ with/ to/ girlfriend/ tomorrow/ his.
………HE WILL GO TO THE THEATRE WITH HIS GIRLFRIEND TOMORROW……………………………………………………………
IV. Read the text and choose the best answer.
My family lives near a small school. There are four …..PEOPLES.......….. (1) in it: my parents, sister and me. I am the youngest member. My father is a worker in the factory. He works such as an engineer. He ….....WAKES..….. (2) up early in the morning. First he brushes his teeth and ….......WASHES…… (3) his face. Then he has a bread ……..FOR..….. (4) breakfast. His work starts from7.00 a.m to 4.00 pm so He comes ……....C….. (5) home very early. In the evening He stays at home, watches TV and goes to bed at 10.00 pm. And my mother is an English teacher at Hung Ha town. My parents are very young. My sister is a student ….......ON.......... (6) Minh Khai primary school. She is thirteen years old. She is in her classroom. She is studying Arts subject. She can draw many pictures. They are very beautiful. She likes Arts the most because she wants to be an artist. I am a student too, I like …....D.......….. (7) football, go fishing, go camping and go swimming in summer. Last year my family went to Ho Chi Minh city to visit our uncles and aunts. They ….…..A............ (8) many photos with my family. I bought a lot of souvenirs ….....B....….. (9) my friends. Now I am in my class I am learning English because tomorrow my school is holding the English language Festival. All the teachers and students are going to …....D....… (10) beautiful school uniforms. We are going to have a good time.
VA
3
2 bài này các bạn giúp mik phần d,e,f với 
còn bài này các bạn giúp mik phần c, h
bài này các bạn giúp mik phần g, h, i
các bạn giúp mik hết luôn hai bài này nhé, mik đang cần cực kì gấp
các bn giúp mình bài 2, bài 3.
các bn giúp mình bài 4 và bài 5 nhé. 
a) \(A=\dfrac{2x-1}{x+2}=\dfrac{2x+4-5}{x+2}=2-\dfrac{5}{x+2}\)
Để A là số nguyên thì \(\dfrac{5}{x+2}\) phải nguyên
\(\Rightarrow x+2\) ∈ Ư(5) = {1; -1; 5; -5}
\(\Rightarrow x\in\left\{-1;-3;3;-7\right\}\)
b) Để A là số tự nhiên thì: \(x\in\left\{-3;3;-7\right\}\)
c) x là số tự nhiên để A là số nguyên => \(x=3\)
d) x nguyên lớn nhất để A nhận giá trị nguyên => \(x=3\)
e) x nguyên nhỏ nhất để A nhận giá trị nguyên => `x=-7`