Advanced Algebra for Colleges and SchoolsAmerican Book Company, 1902 - 608 páginas |
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Página 27
... column . The algebraic sum of the first column is 2 a , of the second 5 b , and of the third +6 c ; and thes numbers written in succession express in its simplest form the sum sought . 2. Simplify 11a2b − 7 ab2 + 2 ac2 + 10 ab - 4 ac2 ...
... column . The algebraic sum of the first column is 2 a , of the second 5 b , and of the third +6 c ; and thes numbers written in succession express in its simplest form the sum sought . 2. Simplify 11a2b − 7 ab2 + 2 ac2 + 10 ab - 4 ac2 ...
Página 235
... column , and to disregard the ciphers on the right of the products . 2. What is the cube root of 1740992427 ? divisor Complete t3 = SOLUTION 1.740.992-427 1203 1 - 740 3 t2 = 3 ( 10 ) 2 3 tu = 3 ( 10 × 2 ) u2 = 22 300 - 60 - 364 728 ...
... column , and to disregard the ciphers on the right of the products . 2. What is the cube root of 1740992427 ? divisor Complete t3 = SOLUTION 1.740.992-427 1203 1 - 740 3 t2 = 3 ( 10 ) 2 3 tu = 3 ( 10 × 2 ) u2 = 22 300 - 60 - 364 728 ...
Página 295
... column of 600 soldiers each file contained 3 men more than 9 times as many men as each rank . How broad and how deep was the column ? 11. A party had a dinner that cost $ 60 . If there had been 5 persons more , the share of each would ...
... column of 600 soldiers each file contained 3 men more than 9 times as many men as each rank . How broad and how deep was the column ? 11. A party had a dinner that cost $ 60 . If there had been 5 persons more , the share of each would ...
Página 323
... column with 5 men more in depth than in front . On approaching the enemy , the front was increased by 845 men , and the whole was thus drawn up in 5 lines . Find the number of men in the detachment . 121. A round iron bar weighed 36 ...
... column with 5 men more in depth than in front . On approaching the enemy , the front was increased by 845 men , and the whole was thus drawn up in 5 lines . Find the number of men in the detachment . 121. A round iron bar weighed 36 ...
Página 417
... column of numbers from 10 to 99 inclusive , and also a horizontal row of figures 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9. The first two figures of 765 appear as the number 76 in the vertical column marked N on page 419 , and the third ...
... column of numbers from 10 to 99 inclusive , and also a horizontal row of figures 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9. The first two figures of 765 appear as the number 76 in the vertical column marked N on page 419 , and the third ...
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Términos y frases comunes
a²b² a²x² ab² absolutely convergent algebraic sum arithmetical means arithmetical progression ax² binomial called cents coefficients column Commutative Law complex numbers continued fraction convergent convergent series cube root denominator difference digits divided dividend divisible established as follows EXAMPLES exponent expression factor Find the sum Find the value finite formula function geometrical mean geometrical progression geometrical series given equation Hence highest common divisor imaginary numbers inequality integer last term limit logarithm multiplied negative number nth root number of terms numerically less obtained polynomial positive integer positive number positive root PRINCIPLE quadratic quotient ratio real number reduced remainder represent result second term SOLUTION square root Substituting subtracted surd third Transposing twice units unknown number variable x²y x²y²
Pasajes populares
Página 212 - ... and if the number is divided by the sum of its digits, the quotient is 21 and the remainder 4.
Página 134 - Multiplying or dividing both terms of a fraction by the same number does not change the value of the fraction.
Página 343 - ... that the volume of a sphere varies as the cube of its radius. 20. Find the radius of a sphere whose volume is equal to the sum of the volumes of three spheres whose radii are r, /, and r".
Página 41 - A term may be transposed from one member of an equation to the other, provided its sign is changed.
Página 435 - The number of permutations of n different things taken r at a time is denoted by „Pr.
Página 424 - The logarithm of a quotient is found by subtracting the logarithm of the divisor from that of the dividend.
Página 40 - The process of changing a term from one member of an equation to the other is called Transposition.
Página 331 - PRINCIPLE 7. — If four numbers are in proportion, the. difference between the terms of the first ratio is to either term of the first ratio as the difference between the terms of the second ratio is to the corresponding term of the second ratio ; that is, the numbers are in proportion by Division.
Página 323 - A farmer has two cubical granaries. The side of one is 3 yards longer than the side of the other, and the difference in their solid contents is 117 cubic yards.
Página 426 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.