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Lê Quốc Trần Anh Coordinator
30/08/2017 at 16:59
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1
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What is 1 + 1 written in base 2?

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    Dao Trong Luan 30/08/2017 at 17:54

    1 + 1 = 2

    Line Division take natural parts Surplus
    1 2/2 = 1 0
    2 1/2 = 0 1

    So 1 + 1 written in base 2 is 10 

    Selected by MathYouLike

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Summer Clouds moderators
15/09/2017 at 08:54
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1
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In the game Fortrix, a player can earn 3, 7 or 11 points on a turn. How many different scores are possible for a single player after six turns?

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    Lê Quốc Trần Anh Coordinator 18/09/2017 at 17:57

    The distance of /4 - 1 (out of 4 and minus 1) of each number is: 1 (4.1-1), 2 ( 4.2-1), 3(4.3-1).

    The least possible score of the distance is: 1.6 = 6

    The biggest possible score of the distance is: 3.6 = 18

    Therefore, there are: \(18-6+1=13\left(different-scores\right)\)

    ANSWER: 13 different scores.

    Selected by MathYouLike

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Summer Clouds moderators
16/10/2017 at 13:40
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My car displays my fuel efficiency in a bar graph. At the end of each minute, a new bar is added to the graph with the miles per gallon (mpg) for that minute. I get 42 mpg, 48 mpg, and 40 mpg in the first three minutes of a trip. What fuel consumption must I achieve in the next minute to have an average of 50 mpg for the first four minutes?


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Summer Clouds moderators
14/11/2017 at 08:49
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The figure shown consists of a large square divided into nine smaller, congruent squares. If a rectangle is chosen at random from this figure, what is the probability that it is a square? Express your answer as a common fraction
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Cloud moderators
01/12/2017 at 14:24
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2
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What is the 41st digit after the decimal point in the decimal expansion of 1/27 ?

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    Vũ Mạnh Hùng 02/12/2017 at 20:57

    my answer is 3

    it is correct? can you check

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    Nguyễn Hưng Phát 01/12/2017 at 17:16

    We have:\(\dfrac{1}{27}=0,\left(037\right)\)

    Because after the decimal point we have three number:0,3,7 repeat and 41:3 residual 2 so the 41st digit after the decimal point in the decimal expansion of \(\dfrac{1}{27}\) is the second of three numbers here is 3

    Answer:3


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Alone
01/01/2018 at 11:58
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Let a,b for \(a+\dfrac{1}{b}\le1\).Find the minimum of S=\(\dfrac{a}{b}+\dfrac{b}{a}\)

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    Lightning Farron 01/01/2018 at 20:27

    \(a=b=1\rightarrow a+\frac{1}{b}>1\)


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Lê Quốc Trần Anh Coordinator
14/06/2018 at 02:18
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Prove that: \(1< \dfrac{1}{n+1}+\dfrac{1}{n+2}+...+\dfrac{1}{3n+1}< 2\left(\forall n\in Z+\right)\)


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Bookname
04/08/2018 at 01:32
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So how many times does the lyrics refer to the phrase "yellow love"?

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    Cristiano Ronaldo 04/08/2018 at 01:33

    So how many times does the lyrics refer to the phrase "yellow love"?

    Answer: Two


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Quoc Tran Anh Le Coordinator
14/09/2018 at 07:07
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A 3-digit number in base 7 is also a 3-digit number when written in base 6, but each digit has increased by 1. What is the largest value which this number can have when written in base 10?

AIMO

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    Mr. Bee moderators 24/09/2018 at 03:01

    When written in base 7, the number is a.72 + b.7 + c

    When written in base 6, the number is (a+1).62 + (b+1).6 + c +1

    We get: a.72 + b.7 + c = (a+1).62 + (b+1).6 + c +1, it implies 13a + b = 43.

    This yields a = 3, b = 4.

    When written in base 10, the largest number possible: 3.72 + 4.7 + 9 = 184

    Quoc Tran Anh Le selected this answer.

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Nguyễn Ngọc Mai
22/03/2017 at 20:03
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7
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\(\dfrac{5}{8}+\dfrac{9}{8}=?\)

\(\dfrac{6}{7}-\dfrac{3}{7}=?\)

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    Do Not Ask Why 23/03/2017 at 10:27

    \(\dfrac{5}{8}+\dfrac{9}{8}=\dfrac{5+9}{8}=\dfrac{14}{8}=\dfrac{7}{4}\)

    \(\dfrac{6}{7}-\dfrac{3}{7}=\dfrac{3}{7}\)

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    Nguyễn Trần Thành Đạt 24/03/2017 at 00:36

    \(\dfrac{5}{8}+\dfrac{9}{8}=\dfrac{5+9}{8}=\dfrac{14}{8}=\dfrac{7}{3}\\ \dfrac{6}{7}-\dfrac{3}{7}=\dfrac{6-3}{7}=\dfrac{3}{7}\)

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    Phạm_Tiến_Đức 23/03/2017 at 18:51

    \(\dfrac{5}{8}+\dfrac{9}{8}=\dfrac{5+9}{8}=\dfrac{14}{8}=\dfrac{7}{4}\)

    \(\dfrac{6}{7}-\dfrac{3}{7}=\dfrac{6-3}{7}=\dfrac{3}{7}\)


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Trigonometric
sin cos tan cot sinh cosh tanh
Lim-log

Combined operations

 

α β γ δ θ σ ∂ ε ω φ ϕ π μ λ Ψ ξ η χ ζ ι κ ν ψ Ω ρ τ υ Γ Δ Λ Φ Π Σ Υ Ξ ϑ Θ ς ϰ
∞ ⊻ ⩞ ⋎ ⋏ ≀ ∪ ⊎ ⋓ ∩ ⋒ ⊔ ⊓ ⨿ ⊗ ⊙ ⊚ ⊛ ⊘ ⊝ ⊕ ⊖ ⊠ ◯ ⊥
⇔ ⇒ ⇐ → ← ↔ ↑ ↓
Operations
+ - ÷ × ≠ = ⊂ ⊃ ⊆ ⊇ ≈ ∈ ∉ ∃ ∄ ≤ ≥ ± ∓ ≠ ∅ ≃ ≅ ≡ ⋮ ⋮̸ ∀
(□) [□] {□} |□|

The type of system

m×n 1×2 1×3 1×4 1×5 1×6
2×1 2×2 2×3 2×4 2×5 2×6
3×1 3×2 3×3 3×4 3×5 3×6
4×1 4×2 4×3 4×4 4×5 4×6
5×1 5×2 5×3 5×4 5×5 5×6
6×1 6×2 6×3 6×4 6×5 6×6

Recipe:

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