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Kaylis [27]
2 years ago
8

Simplify the following expression to an answer with only positive exponents.

Mathematics
1 answer:
yulyashka [42]2 years ago
3 0

Answer:

The correct answer is (edit: b).

Step-by-step explanation:

\frac{(2x^5y^7)(-5x^4z^{-5})}{y^{12}z^6}\\\\\frac{-10x^9y^7z^{-5}}{y^{12}z^6}\\\\\frac{-10x^9}{y^5z^{11}}

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6x2y − 3xy − 24xy2 + 12y2
GalinKa [24]

Answer:

=-39xy+24y

Step-by-step explanation:

\mathrm{Multiply\:the\:numbers:}\:6\cdot \:2=12

=12xy-3xy-24\cdot \:2xy+12\cdot \:2y\\\mathrm{Multiply\:the\:numbers:}\:24\cdot \:2=48\\=12xy-3xy-48xy+12\cdot \:2y\\\mathrm{Multiply\:the\:numbers:}\:12\cdot \:2=24\\=12xy-3xy-48xy+24y\\\mathrm{Add\:similar\:elements:}\:12xy-3xy-48xy=-39xy\\=-39xy+24y

3 0
2 years ago
Read 2 more answers
1. Water is filling a bathtub at a rate of 7 gallons per minute. Complete the table of equivalent
ASHA 777 [7]

Answer:

amount of water: 7, 14, 21, 28, 35

time : 1,2,3,4,5

6 0
3 years ago
The formula for the area of a triangle is A-1bh. Solve for b.
Nady [450]

Answer:

<h2>b = <u>2A</u></h2><h2>       h</h2><h2 />

Step-by-step explanation:

A = 1/2 b h

A2 = b h

b = <u>2A</u>

      h

5 0
3 years ago
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Whatis 11 -2+8 divied by 6
wel

Answer:

31 over 3

Step-by-step explanation:

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3 years ago
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In Applied Life Data Analysis (Wiley, 1982), Wayne Nelson presents the breakdown time of an insulating fluid between electrodes
ale4655 [162]

Answer:

The sample mean is \bar{x}=14.371 min.

The sample standard deviation is \sigma = 18.889 min.

Step-by-step explanation:

We have the following data set:

\begin{array}{cccccccc}0.15&0.82&0.81&1.44&2.70&3.28&4.00&4.70\\4.96&6.49&7.25&8.03&8.40&12.15&31.89&32.47\\33.79&36.80&72.92&&&&&\end{array}

The mean of a data set is commonly known as the average. You find the mean by taking the sum of all the data values and dividing that sum by the total number of data values.

The formula for the mean of a sample is

\bar{x} = \frac{{\sum}x}{n}

where, n is the number of values in the data set.

\bar{x}=\frac{0.15+0.82+0.81+1.44+2.7+3.28+4+4.7+4.96+6.49+7.25+8.03+8.4+12.15+31.89+32.47+33.79+36.80+72.92}{19}\\\\\bar{x}=14.371

The standard deviation measures how close the set of data is to the mean value of the data set. If data set have high standard deviation than the values are spread out very much. If data set have small standard deviation the data points are very close to the mean.

To find standard deviation we use the following formula

\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{x}\right)^2 }}{n-1} }

The mean of a sample is  \bar{x}=14.371.

Create the below table.

Find the sum of numbers in the last column to get.

\sum{\left(x_i - \overline{X}\right)^2} = 6422.0982

\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{x}\right)^2 }}{n-1} }       = \sqrt{ \frac{ 6422.0982 }{ 19 - 1} } \approx 18.889

7 0
3 years ago
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