QuestionCompute the sum of the squares of the values in the set {3, 3, 9}.

Studdy Solution

STEP 1

Assumptions1. The given values of x are3,3, and9. . We need to find the sum of the squares of these numbers.

STEP 2

We need to square each of the given values. The square of a number is found by multiplying the number by itself.
$x_{1}^{2} =^{2}$ $x_{2}^{2} =^{2}$ $x_{}^{2} =9^{2}$

STEP 3

Calculate the squares of each number.
$x_{1}^{2} =3^{2} =9$ $x_{2}^{2} =3^{2} =9$ $x_{3}^{2} =9^{2} =81$

STEP 4

Now that we have the squares of each number, we can add them together to find the sum of the squares.
$\sum x^{2} = x_{1}^{2} + x_{2}^{2} + x_{3}^{2}$

STEP 5

Plug in the values for the squares of each number to calculate the sum.
$\sum x^{2} =9 +9 +81$

STEP 6

Calculate the sum of the squares.
$\sum x^{2} =9 +9 +81 =99$ The sum of the squares of the numbers3,3, and9 is99.

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QuestionCompute the sum of the squares of the values in the set {3, 3, 9}.

Studdy Solution

STEP 1

Assumptions1. The given values of x are3,3, and9. . We need to find the sum of the squares of these numbers.

STEP 2

We need to square each of the given values. The square of a number is found by multiplying the number by itself.
$x_{1}^{2} =^{2}$ $x_{2}^{2} =^{2}$ $x_{}^{2} =9^{2}$

STEP 3

Calculate the squares of each number.
$x_{1}^{2} =3^{2} =9$ $x_{2}^{2} =3^{2} =9$ $x_{3}^{2} =9^{2} =81$

STEP 4

Now that we have the squares of each number, we can add them together to find the sum of the squares.
$\sum x^{2} = x_{1}^{2} + x_{2}^{2} + x_{3}^{2}$

STEP 5

Plug in the values for the squares of each number to calculate the sum.
$\sum x^{2} =9 +9 +81$

STEP 6

Calculate the sum of the squares.
$\sum x^{2} =9 +9 +81 =99$ The sum of the squares of the numbers3,3, and9 is99.

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QuestionCompute the sum of the squares of the values in the set {3, 3, 9}.

Studdy Solution

STEP 1

Assumptions1. The given values of x are3,3, and9. . We need to find the sum of the squares of these numbers.

STEP 2

We need to square each of the given values. The square of a number is found by multiplying the number by itself.x12=2x_{1}^{2} =^{2}x12​=2x22=2x_{2}^{2} =^{2}x22​=2x2=92x_{}^{2} =9^{2}x2​=92

STEP 3

Calculate the squares of each number.x12=32=9x_{1}^{2} =3^{2} =9x12​=32=9x22=32=9x_{2}^{2} =3^{2} =9x22​=32=9x32=92=81x_{3}^{2} =9^{2} =81x32​=92=81

STEP 4

Now that we have the squares of each number, we can add them together to find the sum of the squares.∑x2=x12+x22+x32\sum x^{2} = x_{1}^{2} + x_{2}^{2} + x_{3}^{2}∑x2=x12​+x22​+x32​

STEP 5

Plug in the values for the squares of each number to calculate the sum.∑x2=9+9+81\sum x^{2} =9 +9 +81∑x2=9+9+81

STEP 6

Calculate the sum of the squares.∑x2=9+9+81=99\sum x^{2} =9 +9 +81 =99∑x2=9+9+81=99The sum of the squares of the numbers3,3, and9 is99.

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We need to square each of the given values. The square of a number is found by multiplying the number by itself.
$x_{1}^{2} =^{2}$ $x_{2}^{2} =^{2}$ $x_{}^{2} =9^{2}$

Calculate the squares of each number.
$x_{1}^{2} =3^{2} =9$ $x_{2}^{2} =3^{2} =9$ $x_{3}^{2} =9^{2} =81$

Now that we have the squares of each number, we can add them together to find the sum of the squares.
$\sum x^{2} = x_{1}^{2} + x_{2}^{2} + x_{3}^{2}$

Plug in the values for the squares of each number to calculate the sum.
$\sum x^{2} =9 +9 +81$

Calculate the sum of the squares.
$\sum x^{2} =9 +9 +81 =99$ The sum of the squares of the numbers3,3, and9 is99.