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Mashcka [7]
3 years ago
11

Annabelle is taking the Polar Express ALL the way to the North Pole! The Polar Express is 100 meters long and it takes 30 second

s to cross Santa’s 400m ice bridge. What speed is the train going at?
Mathematics
1 answer:
vlada-n [284]3 years ago
7 0

Hey!

Hope this helps...

~~~~~~~~~~~~~~~~~~~~~~~~~~~~

To solve this, we will be doing a semi-alternate route, but it will get us to our answer...


400 / 100 = 4

30 / 4 = 7.5 seconds

60 * 60 * 7.5 = 27,000 meters per hour

<em></em><em>Lets plug it into our meters to miles formula...</em>

27,000 / 1,609.344 ~ 16.777 miles per hour


So...

The answer is:  The Polar Express was going 27,000 meters per hour (or roughly close to 16.777 miles per hour)...

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Answer:

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Step-by-step explanation:

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To see this, we need to show that f sends elements fromo b9 to elements of E10. first note that f(a) has 1 more binary integer than a, thus, it has 10. if a has an even number of 1's, then f(a) also has an even number because a 0 was added. On the other hand, if a has an odd number of 1's, then f(a) has one more 1, as a consecuence it will have an even number of 1's. This shows that, independently of the case, f(a) is an element of E10. Thus, f is well defined.

f is injective (or one on one):

If a and b are 2 different binary strings, then f(a) and f(b) will also be different because the first 9 elements of f(a) form a and the first elements of f(b) form b, thus f(a) is different from f(b). This proves that f in injective.

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