All categories

2 years ago

In x^a=y, y^b=z, z^c=x, then prove that abc=1

Mathematics

2 answers:

Marysya12 [62]2 years ago

7 0

Step-by-step explanation:

Let, x^a =y......(1) and

y^b =z.....(2) and

z ^c =x......(3).

Now, using (1) in (2) we get,

x ^ab =z......(4).

Now, using (4) in (3) we get,

x ^abc =x

or, x ^abc =x ^1

or, abc=1.

Hope it will help :)

irakobra [83]2 years ago

4 0

Step-by-step explanation:

hope the above solution will help you

You might be interested in

Men and women (ages 22–40) were surveyed to choose a favorite free-time activity: playing sports, dancing, or watching movies/TV

Gnesinka [82]

The correct two-way frequency table for the data is Men and Women Leisure Time Activity Preferences.

<h3>What is a correct two-way frequency table?</h3>

A correct two-way frequency table displays frequencies for two categories (rows and columns) collected from categorical variables (men and women).

Men and Women Leisure Time Activity Preferences;

Playing Sports Dancing Watching movies/TV Row totals

Men 11 3 6 20

Women 5 16 9 30

Column totals 16 19 15 50

Hence, the correct two-way frequency table for the data is Men and Women Leisure Time Activity Preferences.

To learn more about two-way frequency tables click the link given below.

brainly.com/question/4555163

3 0

2 years ago

Plz help me with this math problem

Afina-wow [57]

Answer:

what are the select options?

Step-by-step explanation:

6 0

3 years ago

The perimeter, P, of a rectangle is found using the formula P = 2l + 2w, where l is the length of the rectangle and w is the wid

pogonyaev

Answer:

(P - 2l)/2

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

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

A sphere has a volume of 288 pi in^3. Find the surface area, Express your answer in pi.

Tpy6a [65]

Sphere Volume = 4/3 • π • r³
r^3 = sphere volume / (4/3 * PI)
r^3 = 288*PI / (4/3 * PI)
r^3 = 288 / (4/3)
r^3 = 216
r = 6 inches

Sphere Surface Area = 4 • π • r²

Sphere Surface Area = 4 * PI * 36

Sphere Surface Area = 452.389 square inches

4 0

3 years ago

Read 2 more answers

In x^a=y, y^b=z, z^c=x, then prove that abc=1​

In x^a=y, y^b=z, z^c=x, then prove that abc=1