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  1. Asked: April 17, 2021In: Geometry, High School/Senior Secondary School

    Who created the 4 quadrant?

    acedstud
    acedstud
    Added an answer on April 18, 2021 at 6:56 am

    The $x$-axis and the $y$-axis divides the rectangular coordinate system into 4 parts which we call the 4 quadrants. The rectangular coordinate system was invented by Rene Descartes. Thus, we can say that Descartes invented the 4 quadrants.

    The x-axis and the y-axis divides the rectangular coordinate system into 4 parts which we call the 4 quadrants.

    The rectangular coordinate system was invented by Rene Descartes.

    Thus, we can say that Descartes invented the 4 quadrants.

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  2. Asked: April 17, 2021In: Middle School/Junior Secondary School

    arithmetic pattern and sequence

    acedstud
    acedstud
    Added an answer on April 17, 2021 at 8:48 pm

    Given the arithmetic sequence, $a_n=-4n+3$ The first term is given by $a_1=-4(1)+3=-4+3=-1$. The second term is given by $a_2=-4(2)+3=-8+3=-5$ The third term is given by $a_3=-4(3)+3=-12+3=-9$ The 8th term is given by $a_8=-4(8)+3=-32+3=-29$ Notice from the 1st, 2nd, and 3rd terms that each term isRead more

    Given the arithmetic sequence, a_n=-4n+3

    The first term is given by a_1=-4(1)+3=-4+3=-1.

    The second term is given by a_2=-4(2)+3=-8+3=-5

    The third term is given by a_3=-4(3)+3=-12+3=-9

    The 8th term is given by a_8=-4(8)+3=-32+3=-29

    Notice from the 1st, 2nd, and 3rd terms that each term is made from the previous term by subtracting 4. So the common difference is -4.

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  3. Asked: April 17, 2021In: High School/Senior Secondary School

    The value of √(-25) + 3√(-4) + 2√(-9) is

    acedstud
    acedstud
    Added an answer on April 17, 2021 at 8:17 pm
    This answer was edited.

    First, we note that the square root of a negative number arises in a complex number (imaginary number). Thus, $\sqrt{-25}+3\sqrt{-4}+2\sqrt{-9}=\sqrt{25}i+3\sqrt{4}i+2\sqrt{9}i=5i+3(2i)+2(3i)$ $=5i+6i+6i=17i$.

    First, we note that the square root of a negative number arises in a complex number (imaginary number).

    Thus, \sqrt{-25}+3\sqrt{-4}+2\sqrt{-9}=\sqrt{25}i+3\sqrt{4}i+2\sqrt{9}i=5i+3(2i)+2(3i)

    =5i+6i+6i=17i.

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  4. Asked: April 17, 2021In: Middle School/Junior Secondary School

    What is x multiplied by 2?

    acedstud
    acedstud
    Added an answer on April 17, 2021 at 4:52 pm

    $x$ multiplied by 2 means $x\times2=2x$. Therefore, $x$ multiplied by 2 is $2x$.

    x multiplied by 2 means x\times2=2x.

    Therefore, x multiplied by 2 is 2x.

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  5. Asked: April 17, 2021In: Elementary School

    2+3-6/3-3+9*3 simplify it

    acedstud
    acedstud
    Added an answer on April 17, 2021 at 3:47 pm

    Given $2+3-6/3-3+9*3$, using the PEMDAS/BODMAS hierarchy of arithmetic operations, we first evaluate the division and the multiplication respectively to have $=2+3-2-3+27$. Then, evaluating the additions and subtractions, we have $=27$. Therefore, $2+3-6/3-3+9*3=27$

    Given 2+3-6/3-3+9*3,

    using the PEMDAS/BODMAS hierarchy of arithmetic operations, we first evaluate the division and the multiplication respectively to have

    =2+3-2-3+27.

    Then, evaluating the additions and subtractions, we have

    =27.

    Therefore, 2+3-6/3-3+9*3=27

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  6. Asked: April 17, 2021In: High School/Senior Secondary School

    Multiple Choice (Stats and Probability)

    acedstud
    acedstud
    Added an answer on April 17, 2021 at 1:14 pm

    The median of a set of numbers is the number in the middle after the set of numbers has been arranged in order. Thus, given 4 , 10 , 7 , 7 , 6 , 9 , 3 , 8 , 9, arranging the numbers in order gives 3, 4, 6, 7, 7, 8, 9, 9, 10, and the middle number is 7. Therefore, the median of the set of numbers isRead more

    The median of a set of numbers is the number in the middle after the set of numbers has been arranged in order.

    Thus, given 4 , 10 , 7 , 7 , 6 , 9 , 3 , 8 , 9, arranging the numbers in order gives 3, 4, 6, 7, 7, 8, 9, 9, 10, and the middle number is 7.

    Therefore, the median of the set of numbers is 7.

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  7. Asked: April 17, 2021In: Algebra, High School/Senior Secondary School

    Multiple Choices ( Algebra )

    acedstud
    acedstud
    Added an answer on April 17, 2021 at 4:56 am

    The Persian mathematician, Al-Khwarizmi, is generally regarded as the father of algebra.

    The Persian mathematician, Al-Khwarizmi, is generally regarded as the father of algebra.

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  8. Asked: April 16, 2021In: Algebra, Numbers and Combinatorics, College/University

    Intermediate Algebra

    acedstud
    acedstud
    Added an answer on April 16, 2021 at 6:59 pm

    $|4–8(3–12)|–|5–11|=|4–8(–9)|–|–6|=|4+72|–6=76-6=70$.

    |4-8(3-12)|-|5-11|=|4-8(-9)|-|-6|=|4+72|-6=76-6=70.

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  9. Asked: April 16, 2021In: Algebra, High School/Senior Secondary School

    If 16 +4x is more than 14, what is the value of 8x

    acedstud
    acedstud
    Added an answer on April 16, 2021 at 1:29 pm
    This answer was edited.

    $16+4x$ is more than 14 means $16+4x>14\Rightarrow4x>14-16\Rightarrow4x>-2\Rightarrow\dfrac{4x}{4}>\dfrac{-2}{4}$ $\Rightarrow x>-\dfrac{1}{2}$. Multiplying both sides by 8, we have $8x>-\dfrac{8}{2}\Rightarrow8x>-4$

    16+4x is more than 14 means 16+4x>14\Rightarrow4x>14-16\Rightarrow4x>-2\Rightarrow\dfrac{4x}{4}>\dfrac{-2}{4}

    \Rightarrow x>-\dfrac{1}{2}.

    Multiplying both sides by 8, we have 8x>-\dfrac{8}{2}\Rightarrow8x>-4

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  10. Asked: April 16, 2021In: Middle School/Junior Secondary School

    85% of 200 is?………

    acedstud
    acedstud
    Added an answer on April 16, 2021 at 7:49 am

    85% of 200 is obtained as follows: $\dfrac{85\%}{100\%}\times\dfrac{200}=85\times2=170$.

    85% of 200 is obtained as follows: \dfrac{85\%}{100\%}\times\dfrac{200}=85\times2=170.

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