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Answers ( 521 )
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    I am testing the system.

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    [Test article] 21.1.2021

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    Answer as many questions as you can!
     

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    [test article]

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    In this page, Vietnamese is not allowed, post an English question and we'll help.

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    There are: 3*8*4=96 combinations that Billy can make.
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    There are: \(3\times2\times5=30\)combinations

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    We have: \(A=87235-80106+\left(987+12\right)=7129+999=8128\)

    But 8128 is not a square number so I think you should check your question again.

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    We have: \(\left(x\times x\right)^x\times x^x=\left(x\times x\times x\right)^x=\left(x\times x\times x\right)^x\) with \(x\in R\)

    So..........

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    Sherlockkichi I have evidence to you. I know you have at least 5 accounts. I'll report this to Admin if you don't stop this. I'll post the evidence if anyone report this to me more. Thank you.

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    Thank you Huy Toàn 8A (TL)  and Lê Anh Duy have report this for me. I'll look further into this. I've searched Nobita - Kun and have found all 45-50 nicks from him. Admin will punish for anyone break the rules.

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    We have: \(x^2-3x+2=x^2-3x+2.25-0.25=x^2-2\times x\times1.5+\left(1.5\right)^2-0.25=\left(x-1.5\right)^2-0.25=0\)

    \(\Rightarrow\left(x-1.5\right)^2=0.25\)

    \(\Rightarrow x-1.5=\pm0.5\)

    \(\Rightarrow x=\left\{1;2\right\}\)

    So \(x=\left\{1;2\right\}\)

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    \(2x^3+6x^2=x^2+3x\)

    \(2x\left(x^2+3x\right)=x^2+3x\)

    Case 1: \(2x\left(x^2+3x\right)=0\) 

    \(\Rightarrow x=0\)

    Case 2: \(2x\left(x^2+3x\right)\ne0\)

    \(\Rightarrow2x=1\)

    \(\Rightarrow x=\dfrac{1}{2}\)

    So \(x=\left\{0;\dfrac{1}{2}\right\}\)

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    Because Dao Trong Luan has posted the notification, I won't bother to keep this only for me.

    Nobita - Kun (ducanh2007) has claimed to reach 320 faults in only 3 days. As to this page rules, this account will be deleted forever. I hope Admin will have a solution for this. 

    Also, jimin bts cute (jimin recite) also has approx. 70 faults. I also hope Admin will have a way to improve this. Thank you.

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    For the smallest possible value of AE, A or E must be in the middle of the line. Consider A (E if you want) is that point. With AB = 3 and BC = 6, with A at the middle, then AC = 3. With CD = 8, AC = 3 and A at the middle, then AD = 5. With DE = 4, AD = 5 so D is in the middle, then AE = 1 (the smallest possible value of AE)

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    Every number has it's sum digits 10, so the odd one out is 1472.

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    The 1st shape has 3 lines. The 2nd shape has 4 lines, and so on. So the 8th shape has 10 lines. Because each line is 8cm, the perimeter of the 8th shape is: \(8\times10=80\left(cm\right)\)

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    Larry said:

    a. “My BINGO has all even numbers.”

    b. “My BINGO has two numbers evenly divisible by 5.”

    c. “All of the numbers in my BINGO are evenly divisible by 4.” 

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    Lê Anh Duy Oh I forgot :)

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    We have: \(\dfrac{\left(4\times7+2\right)\left(6\times9+2\right)...\left(100\times103+2\right)}{\left(5\times8+2\right)\left(7\times10+2\right)...\left(99\times102+2\right)}=\dfrac{5\times6\times7\times8\times...\times101\times102}{6\times7\times8\times9\times...\times100\times101}=5\times102=510\)

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