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  1. Asked: March 30, 2021In:

    First law of conservation

    Sasmita
    Sasmita Junior
    This answer was edited.

    first_law of _Thermodynamics: -Energy of one can be changed from one form to another, but it will not created or destroyed. The total amount of  matter and energy in the Universe remains constant, merely changing from one form to another

    first_law of _Thermodynamics: -Energy of one can be changed from one form to another, but it will not created or destroyed. The total amount of  matter and energy in the Universe remains constant, merely changing from one form to another

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  2. Asked: March 30, 2021In: ,

    The first term of an arithmetic sequence is -4 and its common difference is 5.

    Sasmita
    Sasmita Junior
    This answer was edited.

    First term of the sequence is 10 and common difference is 5. a1​ = -4 and d = 5 Next term = a2​=a1​+d=-4+5=1 a3​=a2​+d=1+5=6 a4=6+5=11 a5=11+5=16 a6=16+5=21 a7=21+5=27 a8=27+5= 32 a9=32+5=37 a10=37+5=42 a11=42+5=47 a12=47+5=52 an​=a1​+(n−1)d   So 9th term is 37 sum of 12 th term  is 288  

    First term of the sequence is 10 and common difference is 5.
    a1​ = -4 and d = 5
    Next term = a2​=a1​+d=-4+5=1
    a3​=a2​+d=1+5=6

    a4=6+5=11

    a5=11+5=16

    a6=16+5=21

    a7=21+5=27

    a8=27+5= 32

    a9=32+5=37

    a10=37+5=42

    a11=42+5=47

    a12=47+5=52

    an​=a1​+(n−1)d

     

    So 9th term is 37

    sum of 12 th term  is 288

     

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  3. Asked: March 30, 2021In:

    Tricky Question

    Sasmita
    Sasmita Junior

    1 = 3 ( there are three alphabets in the word form of 1 i.e. ‘ o-n-e’) 2 = 3 ( there are three alphabets in the word form of 2 i.e ‘t-w-o’) 3 = 5 ( there are five alphabets in the word form of 3 i.e. ‘t-h-r-e-e’ ) 4=4 (there are four alphabets in the word form of 4 i.e. ‘f-o-u-r’ and it is also theRead more

    • 1 = 3 ( there are three alphabets in the word form of 1 i.e. ‘ o-n-e’)
    • 2 = 3 ( there are three alphabets in the word form of 2 i.e ‘t-w-o’)
    • 3 = 5 ( there are five alphabets in the word form of 3 i.e. ‘t-h-r-e-e’ )
    • 4=4 (there are four alphabets in the word form of 4 i.e. ‘f-o-u-r’ and it is also the only number to have the number of alphabets as itself)
    • 5=4 (there are four alphabets in the word form of 5 i.e. ‘f-i-v-e’)
    • So , the value of six must be the number of alphabets in its word form.
    • the number of alphabets in the word form of six is three ,( i.e ‘s-i-x’)
    • therefore, here the value of 6 is equal to three

    Ans : 6 = 3

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  4. Asked: March 29, 2021In: ,

    Question of the Day (29/03/2021)

    Sasmita
    Sasmita Junior
    This answer was edited.

    You can use logarithmic differentiation Take the natural logarithm of both sides ln y=ln xx properties of logarithms, rewrite the right hand side ln y=x ln x Differentiate both sides with respect to x Use the  on the right side 1/y  dy/dx=ln x+x (1/x) 1/y dy/dx=ln x+1 Multiply both sides by  y dy/dxRead more

    You can use logarithmic differentiation

    Take the natural logarithm of both sides

    ln y=ln xx

    properties of logarithms, rewrite the right hand side

    ln y=x ln x

    Differentiate both sides with respect to x
    Use the  on the right side

    1/y  dy/dx=ln x+x (1/x)

    1/y dy/dx=ln x+1

    Multiply both sides by  y

    dy/dx=y(ln x+1)

    Now y=xx so we can write

    dy/dx=xx(ln x+1)

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  5. Asked: March 30, 2021In:

    JOEL is a square with diagonals JE and OL intersecting at point M

    Sasmita
    Sasmita Junior

    To calculate the diagonal of a square, multiply the length of the side by the d = a√2 Where does this equation come from? You can derive this diagonal of square formula e.g. from pythogorous theorm As we noticed before, the diagonal of a square divides the square into two congruent right triangles.Read more

    To calculate the diagonal of a square, multiply the length of the side by the

    d = a√2

    Where does this equation come from? You can derive this diagonal of square formula e.g. from pythogorous theorm

    1. As we noticed before, the diagonal of a square divides the square into two congruent right triangles.
    2. Legs are square sides and the length of diagonal of the square is the hypotenuse. Given the side length of the square:

      a² + a² = diagonal²

      diagonal = √(a² + a²) = √(2 * a²) which simplifies to

      diagonal = a√2

    If you don’t have the side of a square given, use other formulas:

    • d = √(2*area) if area is given
    • d = (perimeter/4)*√2 knowing square perimeter.

    JM=12,

    OL=26

    area=side*side

    side=a=A=338≈18.38478

    ME= JE/2

    JE=ME*2=12*2=24 (but both diagonal shoud same if it is square)

    OL=26

    MO=OL/2=26/2=13

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