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Natasha2012 [34]
2 years ago
7

In scientific notation. 245,600,000,000

Mathematics
1 answer:
skelet666 [1.2K]2 years ago
8 0

Answer:

2.456 × 10∧11

Step-by-step explanation:

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Solve the given system of equations using either Gaussian or Gauss-Jordan elimination. (If there is no solution, enter NO SOLUTI
cricket20 [7]

Answer:

The system has infinitely many solutions

\begin{array}{ccc}x_1&=&-x_3\\x_2&=&-x_3\\x_3&=&arbitrary\end{array}

Step-by-step explanation:

Gauss–Jordan elimination is a method of solving a linear system of equations. This is done by transforming the system's augmented matrix into reduced row-echelon form by means of row operations.

An Augmented matrix, each row represents one equation in the system and each column represents a variable or the constant terms.

There are three elementary matrix row operations:

  1. Switch any two rows
  2. Multiply a row by a nonzero constant
  3. Add one row to another

To solve the following system

\begin{array}{ccccc}x_1&-3x_2&-2x_3&=&0\\-x_1&2x_2&x_3&=&0\\2x_1&+3x_2&+5x_3&=&0\end{array}

Step 1: Transform the augmented matrix to the reduced row echelon form

\left[ \begin{array}{cccc} 1 & -3 & -2 & 0 \\\\ -1 & 2 & 1 & 0 \\\\ 2 & 3 & 5 & 0 \end{array} \right]

This matrix can be transformed by a sequence of elementary row operations

Row Operation 1: add 1 times the 1st row to the 2nd row

Row Operation 2: add -2 times the 1st row to the 3rd row

Row Operation 3: multiply the 2nd row by -1

Row Operation 4: add -9 times the 2nd row to the 3rd row

Row Operation 5: add 3 times the 2nd row to the 1st row

to the matrix

\left[ \begin{array}{cccc} 1 & 0 & 1 & 0 \\\\ 0 & 1 & 1 & 0 \\\\ 0 & 0 & 0 & 0 \end{array} \right]

The reduced row echelon form of the augmented matrix is

\left[ \begin{array}{cccc} 1 & 0 & 1 & 0 \\\\ 0 & 1 & 1 & 0 \\\\ 0 & 0 & 0 & 0 \end{array} \right]

which corresponds to the system

\begin{array}{ccccc}x_1&&-x_3&=&0\\&x_2&+x_3&=&0\\&&0&=&0\end{array}

The system has infinitely many solutions.

\begin{array}{ccc}x_1&=&-x_3\\x_2&=&-x_3\\x_3&=&arbitrary\end{array}

7 0
3 years ago
Alexandra is baby-sitting her little brother. To entertain him, she is building structures with his blocks. The picture below re
cricket20 [7]

Answer:

she adds two blocks each time

4 0
3 years ago
Complete the tables of values.<br> x 4−x<br> −1 4<br> 0 a<br> 2 b<br> 4 c
Alchen [17]

Answer:

12

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
) Which statement describes the expression shown above? 6 times the sum of 2 and 8 ) plus the sum of 6 and 8 ) 8 plus the produc
ycow [4]

Answer: my childhood Memories

We're going on a trip in our favorite rocket ship

Zooming through the sky, Little Einsteins

the black/hood verse

"We're going on to the club in our favorite range rover

Zooming through the hood, Little gangsta's"

4 0
2 years ago
Randy said that the number 0.03 has a value 10 times greater than 0.003 is he correct.
pishuonlain [190]
Yes, he is correct. 0.003 * 10 = 0.03
5 0
3 years ago
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