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2 years ago

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:

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

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

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2 years ago

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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

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3 years ago

The formula for the area of a triangle is A-1bh. Solve for b.

Nady [450]

Answer:

Step-by-step explanation:

A = 1/2 b h

A2 = b h

b = <u>2A</u>

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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