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Pepsi [2]
3 years ago
10

12³.2².4⁴ / 4³.2.12²

Mathematics
2 answers:
Nuetrik [128]3 years ago
8 0
Remember
\frac{xyz}{abc}=( \frac{x}{a} )( \frac{y}{b} )( \frac{z}{c} )
and
\frac{x^m}{x^n}=x^{m-n}

split them to have same bases
\frac{12^32^24^4}{4^32^112^2}=
( \frac{12^3}{12^2} )( \frac{4^4}{4^3} )( \frac{2^2}{2^1} )=
(12^1)(4^1)(2^1)=
(12)(4)(2)=
96
Flura [38]3 years ago
8 0
The solve is in the picture

Good luck :)

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Homework help:<br> Write answer in scientific notation..thanks<br> (4.3x10*3)*2
Alisiya [41]

Answer:

(4.3x10^3)^2

= 18.49 x 10^6

= 1.849 x 10^7


Hope this helps you!


8 0
3 years ago
Find the area of the figure shown below and type your result in the empty box.
marusya05 [52]
The answer is 150 because you first find the area of the square which is 10x10=100 and then you find the area of the triangle which is 10x10=100 divide by 2 will give you 50 so 100+50=150 hope this helps :)
3 0
3 years ago
Read 2 more answers
Sample annual salaries (in thousands of dollars) for employees at a company are listed. 42 36 48 51 39 39 42 36 48 33 39 42 45 (
Sonja [21]

Answer:

a) Data given: 42 36 48 51 39 39 42 36 48 33 39 42 45

\bar X = 41.538

s = 5.317

b) 44.1, 37.8, 50.4, 53.55, 40.95, 44.1, 37.8, 50.4 ,34.65, 40.95, 44.1, 47.25

\bar X = 43.615

s= 5.583

c) 3.5, 3, 4, 4.25, 3.25, 3.25, 3.5, 3, 4, 2.75, 3.25, 3.5, 3.75

\bar X= 3.462

s = 0.443

d) As we can see, the average of part b is 1.05 times the average of part a (1.05 * 41.538 = 43.615) and the average of part c is equal to the average obtained in part a divided by 12 (41.538 / 12 = 3.462).

And that happens because we create linear transformations for the parts b and c and the linear transformation affects the mean.

And you have the same interpretation for the deviation, it is affected by the linear transformation as the mean.

Step-by-step explanation:

For this case we can use the following formulas for the mean and standard deviation:

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

s = \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

Part a

Data given: 42 36 48 51 39 39 42 36 48 33 39 42 45

And if we calculate the mean we got:

\bar X = 41.538

s = 5.317

Part b

For this case we know that each value present a 5% of rise so we just need to multiply each value bu 1.05 and we have this new dataset:

44.1, 37.8, 50.4, 53.55, 40.95, 44.1, 37.8, 50.4 ,34.65, 40.95, 44.1, 47.25

And if we calculate the new mean and deviation we got:

\bar X = 43.615

s= 5.583

Part c

The new dataset would be each value divided by 12 so we have:

3.5, 3, 4, 4.25, 3.25, 3.25, 3.5, 3, 4, 2.75, 3.25, 3.5, 3.75

And the new mean and deviation would be:

\bar X= 3.462

s = 0.443

Part d

As we can see, the average of part b is 1.05 times the average of part a (1.05 * 41.538 = 43.615) and the average of part c is equal to the average obtained in part a divided by 12 (41.538 / 12 = 3,462).

And that happens because we create linear transformations for the parts b and c and the linear transformation affects the mean.

And you have the same interpretation for the deviation, it is affected by the linear transformation as the mean.

5 0
3 years ago
Simplify the expression using the distributive property. –4(–3x + 11) 1. Distribute the –4 through the parentheses: -4(–3x) + (-
gayaneshka [121]

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5 0
2 years ago
A ball is thrown from an initial height of 3 feet with an initial upward velocity of 36 ft/s. The ball's height h (in feet) afte
Anuta_ua [19.1K]

Answer:

t = 0.55 s and t = 1.14 s

Step-by-step explanation:

4 0
2 years ago
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