This chemistry question involves key chemical concepts and calculations. The detailed solution below walks through each step, from identifying the reaction type to computing the final answer.
ScanSolve AI Answer
Here are the solutions to the visible questions: 4) 4 - _25 (1)/(125) can be simplified to Step 1: Rewrite the base and argument of the logarithm with a common base. 25 = 5^2 (1)/(125) = (1)/(5^3) = 5^-3 Step 2: Substitute these into the logarithm. _25 (1)/(125) = _5^2 5^-3 Step 3: Use the logarithm property _b^k a^m = (m)/(k) _b a. _5^2 5^-3 = (-3)/(2) _5 5 Step 4: Since _5 5 = 1. (-3)/(2) × 1 = -(3)/(2) Step 5: Substitute this value back into the original expression. 4 - (-(3)/(2)) = 4 + (3)/(2) Step 6: Add the fractions. 4 + (3)/(2) = (8)/(2) + (3)/(2) = (11)/(2) The simplified expression is (11)/(2). 5) expanding (2x-1)^2 gives Step 1: Use the algebraic identity (a-b)^2 = a^2 - 2ab + b^2. Here, a = 2x and b = 1. Step 2: Substitute a and b into the identity. (2x-1)^2 = (2x)^2 - 2(2x)(1) + (1)^2 Step 3: Simplify each term. = 4x^2 - 4x + 1 Expanding (2x-1)^2 gives 4x^2 - 4x + 1. 7) The set of value of x for which 2|x-5| < 1 is Step 1: Isolate the absolute value term. 2|x-5| < 1 |x-5| < (1)/(2) Step 2: Convert the absolute value inequality into a compound inequality. For |u| < c, it means -c < u < c. -(1)/(2) < x-5 < (1)/(2) Step 3: Add 5 to all parts of the inequality to solve for x. -(1)/(2) + 5 < x < (1)/(2) + 5 -(1)/(2) + (10)/(2) < x < (1)/(2) + (10)/(2) (9)/(2) < x < (11)/(2) The set of values for x is ((9)/(2), (11)/(2)). Drop the next question.