By Laura A. Janda, Steven J. Clancy
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E-book via Laura A. Janda, Steven J. Clancy
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Additional info for The Case Book for Russian
We also see how exponents can be used to represent very large and very small numbers. Integer Exponents A product of identical numbers is usually written in exponential notation. For example, 5 и 5 и 5 is written as 53. In general, we have the following definition. 24 CHAPTER P Prerequisites Exponential Notation If a is any real number and n is a positive integer, then the nth power of a is ... и a a n ϭ144 a и a4и24443 n factors The number a is called the base and n is called the exponent. ᎏ12ᎏ@ ϭ ᎏ31ᎏ2 Note the distinction between ÓϪ3Ô4 and Ϫ34.
35x Find the cost of manufacturing 1000 compact discs. 7. 8x Ϫ 500 22. The speed r of a boat that travels d miles in t hours 23–36 ■ Write an algebraic formula for the given quantity. You may need to consult the formulas for area and volume listed on the inside back cover of this book. 23. The area A of a square of side x 24. The area A of a rectangle whose length is 4 ft more than its width x Find the profit on the sale of 1000 CDs. 8. The volume V of a cylindrical can is modeled by the formula 4+x x V ϭ pr h 2 where r is the radius and h is the height of the can.
1 Modeling the Real World 9 We can express the formula (or model) we want as follows. 5 in2. The area of one sheet is 12 ϫ 20 ϭ 240 in2. 5 Ͼ 240, the scrap metal produced from 5 sheets will easily recycle to produce a whole new sheet (and a little left over). 1 Exercises 1–8 ■ Use the model given to answer the questions about the object or process being modeled. 1. The gas mileage M Óin mi/galÔ of a car is modeled by M ϭ NȋG where N is the number of miles driven and G is the number of gallons of gas used.
The Case Book for Russian by Laura A. Janda, Steven J. Clancy