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3 years ago

Which values have exactly 2 significant figures? Check all that apply.

Mathematics

1 answer:

aleksandrvk [35]3 years ago

6 0

The two numbers having exactly 2 significant figures are:

1200 feet

84 liters

Step-by-step explanation:

The significant figures of a number are the digits that carry a meaning in terms of resolution.

The rules for identifying significant digits are:

All non-zero digits are always significant
Leading zeroes (before any non-zero digit) are never significant
Zeroes between significant digits are always significant
To the right of the decimal point, zeroes at the end are always significant

Let's now analyze the numbers given here:

302 yards --> all the 3 digits are significant

1.200 feet --> here the two zeroes are non-significant, therefore only 1 and 2 are significant --> so this number has 2 significant figures

84 liters --> all non-zero digits are significant, so this number has 2 significant figures

6.040 meters --> this number has 3 significant figures (6, 0 and 4)

Learn more about significant figures:

brainly.com/question/12445529

#LearnwithBrainly

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Answer:

The reduced row-echelon form of the linear system is $\left[\begin{array}{cccc}1&0&-5&0\\0&1&3&0\\0&0&0&1\end{array}\right]$

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We will solve the original system of linear equations by performing a sequence of the following elementary row operations on the augmented matrix:

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To find the reduced row-echelon form of this augmented matrix

$\left[\begin{array}{cccc}2&3&-1&14\\1&2&1&4\\5&9&2&7\end{array}\right]$

You need to follow these steps:

Divide row 1 by 2 $\left(R_1=\frac{R_1}{2}\right)$

$\left[\begin{array}{cccc}1&3/2&-1/2&7\\1&2&1&4\\5&9&2&7\end{array}\right]$

Subtract row 1 from row 2 $\left(R_2=R_2-R_1\right)$

$\left[\begin{array}{cccc}1&3/2&-1/2&7\\0&1/2&3/2&-3\\5&9&2&7\end{array}\right]$

Subtract row 1 multiplied by 5 from row 3 $\left(R_3=R_3-\left(5\right)R_1\right)$

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Subtract row 2 multiplied by 3 from row 1 $\left(R_1=R_1-\left(3\right)R_2\right)$

$\left[\begin{array}{cccc}1&0&-5&16\\0&1/2&3/2&-3\\0&3/9&9/2&-28\end{array}\right]$

Subtract row 2 multiplied by 3 from row 3 $\left(R_3=R_3-\left(3\right)R_2\right)$

$\left[\begin{array}{cccc}1&0&-5&16\\0&1/2&3/2&-3\\0&0&0&-19\end{array}\right]$

Multiply row 2 by 2 $\left(R_2=\left(2\right)R_2\right)$

$\left[\begin{array}{cccc}1&0&-5&16\\0&2&3&-6\\0&0&0&-19\end{array}\right]$

Divide row 3 by −19 $\left(R_3=\frac{R_3}{-19}\right)$

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Subtract row 3 multiplied by 16 from row 1 $\left(R_1=R_1-\left(16\right)R_3\right)$

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Add row 3 multiplied by 6 to row 2 $\left(R_2=R_2+\left(6\right)R_3\right)$

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