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$\bullet$ While driving in an exotic foreign land, you see a speed-limit sign on a highway that reads $180,000$ furlongs per fort-night. How many miles per hour is this? (One furlong is $\frac{1}{8}$ mile,and a fortnight is 14 days. A furlong originally referred to the length of a plowed furrow.)

67$\frac{m i}{h o u r}$

Physics 101 Mechanics

Chapter 1

Models, Measurements, and Vectors

Physics Basics

Cornell University

University of Michigan - Ann Arbor

University of Winnipeg

McMaster University

Lectures

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In mathematics, a proof is a sequence of statements given to explain how a conclusion is derived from premises known or assumed to be true. The proof attempts to demonstrate that the conclusion is a logical consequence of the premises, and is one of the most important goals of mathematics.

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In mathematics, algebra is one of the broad parts of mathematics, together with number theory, geometry and analysis. In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics.

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While driving in an exotic…

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this is Chapter one problem. Ten. We're given a speed limit of one hundred eighty thousand furlongs for fortnight and asked to convert that to miles per hour. So we've got to separate units in here willing to convert. And for each one we're going to apply whatever conversion factors we need by multiplying by a fraction equal to one, they will help us change. The units await the way we want. So first, let's look at those furlongs. We don't want them, and we know for long is an eighth of a mile. So in decimals, one eighth of a mile is point one two five. That's what you get if you divide one by eat. And since point one two five miles is equal to a for long dis fraction point one two five miles over a furlong is equal to one great, so animals apply those out. Thes furlongs were going to cancel, and we're gonna be left with miles. Now. We gotta deal with that fortnight, so a fortnight is two weeks or fourteen days. So a fortnight up top and fourteen days de is a relatively abbreviation for days, and we put the fortnight on the top so that it will cancel the fortnight over here. So now if we multiply this out, we're in units of miles per day, which is still not quite what we want. We want miles per hour. So we'll do one last conversion knowing that one day is equal to twenty four hours so again or multiplying by a fraction equal to one our days cancel with our days and the only units left in this whole thing are the miles and the hours. Multiply all these numbers together and you get a speed limit of sixty seven miles per hour which pieced, if you're living in the U. S. Sounds a lot more familiar than one hundred eighty thousand four furlongs per fortnight.

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