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m_a_m_a [10]
3 years ago
13

Suppose that a local area network requires seven letters for user names.​ lower- and uppercase letters are considered the same.

how many user names are possible for the local area​ network?
Computers and Technology
1 answer:
Naddik [55]3 years ago
6 0
<span>If a user name can have seven letters (with no distinction between upper and lower case), and if a letter can be repeated, then the maximum number of names is 26x26x26x26x26x26x26, or 8,031,810,176. That is, slightly more than eight billion names are possible.</span>
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If a star system 30 parsecs distant is found to be broadcasting intelligent radio signals, then their news is already approximat
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97.85 years, approximately.

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A light-year is a measure of the distance that Light travels during a year, that is,  5.88 trillion miles. Light travels the same distance per year because its speed is <em>constant</em>, and this is an excellent property that scientists take advantage to measure distances.

A parsec is 3.26 light-years (19 trillion miles), and (a very important datum to solve this question) one light-year is 0.306601 parsec, that is, in a year Light travels 0.306601 parsec at a <em>constant</em> speed. The same would happen with intelligent radio signals broadcasted from a distant star system.

So, considering all these facts, it is a matter of proportions to solve this question (mostly because speed of Light is constant):

\frac{1 year}{0.306601 parsec} = \frac{X years}{30 parsecs}

x =\frac{1 year * 30 parsec}{0.306601 parsec}

x = \frac{30}{0.306601} years

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x = 97.85 years, approximately.

In other words, Light spends 97.85 years (terrestials) to travel 30 parsecs.

Likewise, radio waves travel at the same speed, so they spend the same years (97.85 years) travelling across the Universe to be finally detected by a radiotelescope located, for instance, here, in our planet.

Finally,  the star system broadcasted intelligent radio signal with 'news' that are already approximately 97.85 years old'.

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