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Evaluate the absolute value of a vector.
Published on November 6, 2024
Pre-Algebra
The magnitude of the given row vector is calculated, resulting in 3.
Shares
Published on November 6, 2024
The magnitude of the given row vector is calculated, resulting in 3.
The provided document details the simplification of algebraic fractions and the solution of algebraic expressions. Part 1 simplifies various rational expressions by factoring the numerators and denominators, canceling common factors. Part 2 involves adding, subtracting, and multiplying rational expressions, often requiring finding common denominators and simplifying the resulting expressions.
The equation 3^x - 2^x = 65 has a solution at x = 4.
The solution to the problem \sqrt{25\%} + \sqrt{49\%} is 1.2, which is equivalent to 120%.
The solution to the equation involving radicals and exponents is x = 77/120.
The solution for X in the equation 2^X + 2 = 66 is 6.
To solve for a in the equation (a/2) ÷ (5/2) = 2, first rewrite the division as multiplication by the reciprocal, then multiply the numerators and denominators, simplify the fraction, isolate a by multiplying both sides by 10, and finally solve for a by dividing both sides by 2, resulting in a = 10.
The rational function 1/(3x^2 + 4x + 1) is decomposed into partial fractions as (3/2)/(3x + 1) - (1/2)/(x + 1) by factoring the denominator and solving for the unknown constants using strategic values of x.
To find the difference between ba and ab, where a and b are digits, we analyze the units and hundreds digits, leading to the conclusion that the hundreds digit of the difference is 3.