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Calculate the difference of 100 squared and 99 squared.
Published on November 12, 2024
Pre-Algebra
The difference of squares formula is used to evaluate the expression 100^2 - 99^2, resulting in 199.
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Published on November 12, 2024
The difference of squares formula is used to evaluate the expression 100^2 - 99^2, resulting in 199.
To find the smallest possible values for A and B in a 10-digit number divisible by both 8 and 9, the last three digits (9B8) must be divisible by 8, and the sum of all digits must be divisible by 9. This leads to B=2 and A=3 as the smallest possible values.
To find 2^(m+n), solve for m and n in the equations 2^m = 1 and 2^n = 16, then substitute the values into the expression.
The expression 0^0 is considered an indeterminate form in calculus because different approaches to evaluating it yield different potential values. While some approaches suggest a value of 1 and others suggest 0, the limit does not have a single, well-defined value. In some contexts, like combinatorics, it is defined as 1 for convenience.
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.