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3 years ago

I need the answer to the problem

Mathematics

1 answer:

inysia [295]3 years ago

3 0

In the first one put 2. and in the second one put 7

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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

Each deli sandwich made uses 3/8 pound of roast beef. Marisa started with 5 pounds of roast beef and now has 2 3/4 pounds left.

gogolik [260]

Answer:

I think your answer 4 I'm not sure tho hope this helps

3 0

3 years ago

Vinay bought a flat for ₹ 4,50,000. He spent ₹ 10,000 on its paintings and repair. Then he sold it for ₹ 4,25,500. Find his gain

ElenaW [278]

Step-by-step explanation:

hence you got the answer

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5 0

2 years ago

Find the minimum of the data set.

Natalija [7]

Answer:

23,600.

Step-by-step explanation:

23|6

7 0

2 years ago

Industry standards suggest that 8 percent of new vehicles require warranty service within the first year. Jones Nissan in Sumter

jenyasd209 [6]

Answer:

Step-by-step explanation:

Let X be the no of vehicles that require warranty service within I year out of vehicles sold (9) yesterday.

Each vehicle is independent of the other to get warranty service

Hence X is binomial with p=8% = 0.08

So P(X=x) = $9Cx (0.08)^x (1-0.08)^{9-x} ,x=0,1,2...9$

$a) P(X=0) = 0.472161\\b) P(x=1) = 0.3695$

c) $P(X=2) = 0.1285$

d) Mean = Mean of binomial = np =

$9(0.08) = 0.72$

Var (x) = npq = $0.6624$

Std dev = square root of variance = 0.8139

5 0

3 years ago

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