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3 years ago

36. Rafael asserts that two eighths > one fourths, since 2 >1 and 8 > 4. How should

Mathematics

1 answer:

Oksana_A [137]3 years ago

7 0

Türkiye cumhuriyeti ccc

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Which expression is equivalent to ( 4mn / m^-2n^6)^-2

inn [45]

Here are a few rules with exponents that apply here:

Raising a power to a power: $(x^m)^n=x^{m*n}$
Dividing exponents of the same base: $\frac{x^m}{x^n}=x^{m-n}$
Converting negative exponents to positive ones: $x^{-m}=\frac{1}{x^m}\ \textsf{and}\ \frac{1}{x^{-m}}=x^m$

Firstly, solve the outer exponent:

$(\frac{4mn}{m^{-2}n^{6}})^{-2}=\frac{4^{-2}m^{-2}n^{-2}}{m^{-2*-2}n^{6*-2}}=\frac{4^{-2}m^{-2}n^{-2}}{m^4n^{-12}}$

Next, divide:

$\frac{4^{-2}m^{-2}n^{-2}}{m^4n^{-12}}=4^{-2}m^{-2-4}n^{-2-(-12)}=4^{-2}m^{-6}n^{10}$

Next, convert the negative exponents:

$4^{-2}m^{-6}n^{10}=\frac{n^{10}}{4^2m^6}=\frac{n^{10}}{16m^6}$

<u>Your final answer is n^10/16m^6 , or B.</u>

8 0

3 years ago

Question #1 Pls help

max2010maxim [7]

Answer:

C. Strong Positive Linear Relationship

Step-by-step explanation:

If you were to draw a line through the points all of the points would be near the line therefore it has a strong correlation

The points are going upwards from left to right which indicates that the relationship is positive

From this information we can make a conclusion

This scatter plot has a strong positive linear relationship

6 0

3 years ago

Write a trinomial that has a factor of X +3 and a GCF of -5x

Nat2105 [25]

Answer:

it is - 15 please mark me brainliest

3 0

2 years ago

Compare 117.93 and 117.859

Licemer1 [7]

117.93 is greater than 117.859 by .035.

3 0

3 years ago

Dr yang buys a violin for £13200 plus vat at 20% dr yang pays a deposit for the violin he then pays the rest of the cost in 12 e

Andre45 [30]

Answer:

8/3

Step-by-step explanation:

Given that:

Cost of violin = 13200 plus VAT at 20%

Cost of violin = (100 + 20)% * 13200

Cost of violin = 1.20 * 13200 = £15,840

Instalment pay = (360 * 12) = 4320

Therefore, deposit made equals ;

Total cost - Instalment pay

£(15,840 - 4320) = £11,520

Hence, ratio of deposit made to the total Instalment payment made ;

£11520 / £4320 = 8 / 3

5 0

2 years ago