Yes, extremly. Most things we use in the modern world are developments of scientific discoveries and applications of knowledge.
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to be useful in sciences a hypothesis must be
I forgot
In imperial measurements there are 12 inches in a foot. Other than that, it is just as useful as any number - all numbers are useful in science, depending on what you want to do wit them. Also the capactity of this or the amount or the measurement of this container is 12 :D
Because calculus is lots of fun! Also because it is useful in science and engineering.
Mathematics is a useful objective means of describing many physical issues.