College Algebra, Volume 2

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H. Holt, 1919 - Algebra - 268 pages
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Page 186 - The general formula for the number of combinations of n things taken r at a time is C(n,r) = r\(nr)\ We have to find the number of combinations of 12 things taken 9 at a time.
Page 160 - The Integral Part of a logarithm is called the Characteristic, and the decimal part the Mantissa.
Page 158 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor.
Page 205 - The value of one of the variables in the solution of n linear equations in n variables consists of a fraction whose denominator is the determinant of the system and whose numerator is...
Page 98 - Newton discovered, as a fundamental law of nature, that every particle attracts every other particle with a force which varies directly as the product of the masses and inversely as the square of the distance between them.
Page 9 - The product of two or more fractions is a fraction whose numerator is the product of the numerators of the given fractions and whose denominator is the product of the denominators of the given fractions.
Page 115 - Thus ike modulus of the product of two complex numbers is the product of their moduli, and the argument of the product is the sum of their arguments.
Page 161 - The characteristic of a number less than 1 is found by subtracting from 9 the number of ciphers between the decimal point and the first significant digit, and writing — 10 after the result.
Page 8 - The value of a fraction is not changed by multiplying or dividing both the numerator and denominator by the same number.
Page 184 - Since the arrangement of candidates on each slate is important (each arrangement represents people running for different political offices), this is a permutations problem. Recalling the general formula for the number of permutations of n things taken r at a time, nPr = n\l(n - r)!, we replace n by 10 and r by 3 to obtain 10!

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