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galina1969 [7]
2 years ago
14

Simplify the expression.

Mathematics
1 answer:
netineya [11]2 years ago
8 0

Answer:

-6m^2 *n^2

Step-by-step explanation:

formula: (m^x)/(m^y)= m^(x-y)

apply formula for (4m^2)/(2m^-3)

=(4m^(2--3)/(2)

=4m^5/2

divide 4/2

=2m^5

next part 3n^5/(-mn)^3

3n^5/(-mn)^3

expand

=3n^5/ (-m^3*n^3)

=3n^(5-3)/ -m^3

=3n^2/ -m^3

both parts:

(2m^5* 3n^2)/ -m^3

= -(2m^5* 3n^2)/ m^3

= -(2m^(5-3)* 3n^2)/ 1

= -(2m^2* 3n^2)

= -(6m^2*n^2)

= -6m^2 *n^2

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140 days

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A rectangle that is 2 inches by 3 inches has been scaled by a factor of 7 if you want to cooy back to its original size by what
slamgirl [31]

Answer:

1/7

Step-by-step explanation:

Given that:

Using a scale factor of 7 ; the dimension of a rectangle is : 2 inches by 3 inches

In other to obtain the original size of the rectangle, all that is needed is to multiply the sacl d dimension by the reciprocal of the initi. Scale factor used, that is 1 / 7

This gives :

(2 inches by 3 inches) * 1/7

2/7 inches by 3/7 inches

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3 years ago
What x-value makes the set of ratios equivalent? Tiles 2 : 3 = 6 : x ,4 : 7 = x : 42 , 2x : 48 = 3 : 12, 12 : 15 = x : 20
Naya [18.7K]

Step-by-step explanation:

2 : 3 = 6 : x ,

Ratio can be written as

\frac{2}{3} = \frac{6}{x}

2*3 = 6, we multiply top  and bottom of fraction by 3

\frac{2*3}{3*3} = \frac{6}{9}

So value of x=9

4 : 7 = x : 42 ,

\frac{4}{7} = \frac{x}{42}

7*6 = 42, we multiply top  and bottom of fraction by 6

\frac{4*6}{7*6} = \frac{24}{42}

So value of x=24

2x : 48 = 3 : 12,

\frac{2x}{48} = \frac{3}{12}

\frac{3}{12}[/tex] = \frac{2x}{48}12*4 = 48, we multiply top  and bottom of fraction by 4[tex]\frac{3*4}{12*4} = \frac{12}{48}

2x= 12, so x= 6

12 : 15 = x : 20

\frac{12}{15} = \frac{x}{20}

15 * \frac{4}{3} = 20,

we multiply top  and bottom   by 4/3

 12 * \frac{4}{3} = 16

So value of x=16

4 0
3 years ago
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A total of 200 10-year-old children of similar intellectual abilities participated in a noise experiment in their classrooms. Th
Vladimir79 [104]

Answer:

The dependent variable for this experiment is the ability of students with similar intellectual abilities to recall the meaning of a symbol in a textbook one week after the start of the experiment which depends on the presence or absence of noise outside the classroom.

Step-by-step explanation:

In an experiment, the independent variable is the one whose value, form or outcome is not determined by any other variable in the experiment.

The dependent variable is the one whose value, form or outcome is determined by one or more other variable(s) in the experiment.

This experiment tests the abilities of students with similar intellectual abilities to recall the meaning of a symbol in a textbook one week after the start of the experiment.

This ability was made to depend on whether there was noise or no noise outside their classrooms.

Since, this variable to be measured is determined by another variable in the experiment, it is evident that this is the dependent variable for this experiment.

Hope this Helps!!!

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Which ratio is proportionate to 9/3​
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Answer:

3/1

simplify 9/3

3/1 is the answer

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