A tortoise walks 3 inches in 1 second. How many feet per second can the tortoise walk?
2 answers:
Set up the conversion factor like this:
The inches are in the denominator while the feet are in the numerator in the conversion factor. It's set up this way because the numerators and denominators have to be able to cancel out. In this case, the inches would cancel out, and you would end up with 3/12 feet, which is also 0.25 feet. The turtle walks 0.25 feet per second.
The inches are in the denominator while the feet are in the numerator in the conversion factor. It's set up this way because the numerators and denominators have to be able to cancel out. In this case, the inches would cancel out, and you would end up with 3/12 feet, which is also 0.25 feet. The turtle walks 0.25 feet per second.
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Answer:
- <u>10 pairs</u>
- <u>It is a combination</u>
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Explanation:
This is a combination because the order does not matter: the Beagle - Collie couple is the same as the Collie - Beagle couple, so it is only counted once.
The formula for combinations is:
For five diffferent dogs to be put in pairs, the number of different pairs is:
Rewrite the limit as
Then both numerator and denominator approach infinity (with different signs, but that's not important). Applying L'Hopital's rule, we get