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olga nikolaevna [1]
3 years ago
12

Simplify the expression.

Mathematics
1 answer:
kotegsom [21]3 years ago
6 0

Answer:

\large\boxed{D.\ 2x^2y\sqrt[5]{7xy^3}}

Step-by-step explanation:

\sqrt[5]{224x^{11}y^8}\\\\=\sqrt[5]{(32)(7)x^{5+5+1}y^{5+3}}\\\\\text{use}\ a^na^m=a^{n+m}\\\\=\sqrt[5]{(2^5)(7)x^5x^5x^1y^5y^3}\\\\\text{use}\ \sqrt[n]{ab}=\sqrt[n]{a}\cdot\sqrt[n]{b}\\\\=\sqrt[5]{2^5}\cdot\sqrt[5]{x^5}\cdot\sqrt[5]{x^5}\cdot\sqrt[5]{y^5}\cdot\sqrt[5]{7xy^3}\\\\\text{use}\ \sqrt[n]{a^n}=a\\\\=2\cdot x\cdot x\cdot y\cdot\sqrt[5]{7xy^3}\\\\=2x^2y\sqrt[5]{7xy^3}

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or if you want me to flip the sign then the solution becomes

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Certain tubes manufactured by a company have a mean lifetime of 800 hours and a standard deviation of 60 hours. Find the probabi
Anna71 [15]

Answer:

Step-by-step explanation:

given that certain tubes manufactured by a company have a mean lifetime of 800 hours and a standard deviation of 60 hours.

Sample size n =16

Std error of sample mean = \frac{\sigma}{\sqrt{n} } \\= 15

x bar follows N(800, 15)

the probability that a random sample of 16 tubes taken from the group will have a mean lifetime

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, (c) more than 820 hours,

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(d) between 770 and 830 hours

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4 0
2 years ago
I need help with this question!
34kurt
The definition of similar triangles says that 2 triangles are similar if they have the same shape but different size. There are two criteria to check for this:
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13. f(x) = -x + 4x^3 -2
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Step-by-step explanation:

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Answer:

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