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2 years ago

Simplify (3x^2y3)^3 / x3

Mathematics

2 answers:

QveST [7]2 years ago

7 0

Ok done. Thank to me:>

ANTONII [103]2 years ago

3 0

Answer:

27 x^ 3 y ^9

Hope this helps, have a nice day/night! :D

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Brian recorded the number of commercials played during two types of television shows: an educational documentary and a primetime

Sladkaya [172]

Answer:

$m(x)_A = 5.2$ --- Mean absolute deviation of educational documentary

$m(x)_B = 4.7$ --- Mean absolute deviation of prime time drama

Step-by-step explanation:

Given

$n = 10$

See attachment for table

Required

Determine the mean absolute deviation of each

Mean absolute deviation m(x) is calculated as:

$m(x) = \frac{1}{n}\sum |x - \mu|$

For Educational Documentary

First, calculate the mean

$\mu = \frac{\sum x}{n}$

So:

$\mu_A = \frac{26 + 28 + 30 + 18+27 + 18 + 20 +31+17+17}{10}$

$\mu_A = \frac{232}{10}$

$\mu_A = 23.2$

The mean absolute deviation is then calculated as:

$m(x)_A = \frac{1}{n}\sum |x - \mu_A|$

$m(x)_A = \frac{1}{10}(|26 -23.2| +|28 -23.2| +|30 -23.2| +|18 -23.2| +|27 -23.2| +|18 -23.2| +|20 -23.2| +|31 -23.2| +|17 -23.2| +|17 -23.2|)$

$m(x)_A = \frac{1}{10}(|2.8| +|4.8| +|6.8| +|-5.2| +|3.8| +|-5.2| +|-3.2| +|7.8| +|-6.2| +|-6.2|)$

$m(x)_A = \frac{1}{10}(2.8 +4.8 +6.8 +5.2 +3.8 +5.2 +3.2 +7.8 +6.2 +6.2)$

$m(x)_A = \frac{1}{10}*52$

$m(x)_A = 5.2$

For Prime time Drama

First, calculate the mean

$\mu = \frac{\sum x}{n}$

So:

$\mu_B = \frac{39+39+35+29+40+27+41+29+32+30}{10}$

$\mu_B = \frac{341}{10}$

$\mu_B = 34.1$

The mean absolute deviation is then calculated as:

$m(x)_B = \frac{1}{n}\sum |x - \mu_B|$

$m(x)_B = \frac{1}{10}(|39-34.1|+|39-34.1|+|35-34.1|+|29-34.1|+|40-34.1|+|27-34.1|+|41-34.1|+|29-34.1|+|32-34.1|+|30-34.1|)$

$m(x)_B = \frac{1}{10}(|4.9|+|4.9|+|0.9|+|-5.1|+|5.9|+|-7.1|+|6.9|+|-5.1|+|-2.1|+|-4.1|)$

$m(x)_B = \frac{1}{10}(4.9+4.9+0.9+5.1+5.9+7.1+6.9+5.1+2.1+4.1)$

$m(x)_B = \frac{1}{10}*47$

$m(x)_B = 4.7$

6 0

3 years ago

Please help The triangles below are similar. Find the value of x. Show all work

Kruka [31]

Answer:

Step-by-step explanation:

The ratio is 12/8 or 3/2

So we can use proportions

3/2=x/15

x=22.5

6 0

3 years ago

The daily expenses for each of a transportation service company’s trucks is given by the function d(x) = 15 + 0.5x, where d(x) i

Over [174]

For this case we have the following equation:

$d (x) = 15 + 0.5x$

Where, by definition, we have the following variables:

d (x): the daily expense per truck (in dollars)

x: the daily mileage

Therefore, the domain of the function is given by:

$x> 0$

Equivalently:

[0, ∞)

Answer:

The input for the function includes all positive real numbers

option d.

8 0

3 years ago

Read 2 more answers

Mr. Powell rents a storage space that is 7 feet high, 5 feet long, and 4 feet wide. How many containers, each one cubic foot in

tatuchka [14]

140

7•5=35

35•4=140 square feet

4 0

3 years ago

Read 2 more answers

Find the equation of the line with the coordinates of (-5,-2) and (5,3)

velikii [3]

Answer

x - 2y = -1.

Step-by-step explanation:

Slope = (3 - (-2)) / (5 - (-5))

= 5/10

= 1/2

Using the point-slope form of a straight line equation:

y - y1 = m(x - x1)

Here m = 1/2 and (x1, y1) = (5, 3):

y - 3 = 1/2(x - 5)

y - 3 = 1/2x - 5/2

y = 1/2x - 5/2 + 6/2

y = 1/2x + 1/2

Removing the fractions:

2y = x + 1

in standard form this is

x - 2y = -1

6 0

3 years ago