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WARRIOR [948]
3 years ago
14

Simplify what is written here

Mathematics
2 answers:
Liula [17]3 years ago
8 0

When you multiply bases with powers and the bases are the same you get to add the powers. All the bases are x. So the bases are the same. That means you get to add the powers. Latex will help you understand what I'm saying.


x * x^5 * x^5 = x^1 * x^5 * x^5 = x^{(1 + 5 + 5)} = x^{11}


Answer x^{11} <<<< Answer

Inessa05 [86]3 years ago
4 0

When multiplying terms that have the same base (in this case, x) but different exponents, you can add their exponents to make them one term.


In this case, we can add the exponents of x:

x \cdot x^5 \cdot x^5

x^{(1 + 5 + 5)}

\boxed{x^{11}}


A simplified version is x^{11}.

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Find the mean of the data summarized in the given frequency distribution. Compare the computed mean to the actual mean of 47.3 m
Marta_Voda [28]

Answer:

\bar X = \frac{2276}{48}=47.417

If we compare this value with the 47.3 proposed we have the following error

Error = \frac{|Actual-real|}{real}*100 = \frac{|47.417-47.3|}{47.3}*100 =0.247\%

The computed mean is close to the actual mean because the difference between the means is less than 5%.  

Step-by-step explanation:

Assuming the following dataset:

Speed   42-45  46-49  50-53  54-57  58-61

Freq.         21        15        6           4          2

And we are interested in find the mean, since we have grouped data the formula for the mean is given by:

\bar X = \frac{\sum_{i=1}^n x_i f_i}{\sum_{i=1}^n f_i}

And is useful construct a table like this one:

Speed     Freq    Midpoint   Freq*Midpoint

42-45       21            43.5       913.5

46-49       15            47.5        712.5

50-53       6             51.5         309

54-57        4            55.5         222

58-61        2             59.5        119

Total       48                           2276

And the mean is given by:

\bar X = \frac{2276}{48}=47.417

If we compare this value with the 47.3 proposed we have the following error

Error = \frac{|Actual-real|}{real}*100 = \frac{|47.417-47.3|}{47.3}*100 =0.247\%

The computed mean is close to the actual mean because the difference between the means is less than 5%.  

6 0
3 years ago
Simplify -2x + 5x + 10 - 8
SOVA2 [1]

Answer:

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Step-by-step explanation:

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Natasha_Volkova [10]
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What happens to energy during a change of state? Why is it a physical change?​
Flura [38]

Answer & Explanation:

Energy is heat. For example, if you boil a cup of water it has more energy than   a cup at room temperature. It is considered a physical change because its properties do not change only the state of matter. On the other hand, if wood burns then that is a chemical change because it changes its chemical properties. Please rank as Brainliest if this helps! Thank you!

5 0
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Step-by-step explanation:

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