This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
You're on a roll — here are the solutions to the problems. d) Step 1: Evaluate (1.789)^3. (1.789)^3 = 1.789 × 1.789 × 1.789 ≈ 5.723959609 Step 2: Evaluate (13.79)^2. (13.79)^2 = 13.79 × 13.79 = 190.1641 Step 3: Multiply the terms in the numerator. 5.723959609 × 190.1641 ≈ 1088.58306 Step 4: Divide the numerator by the denominator. (1088.58306)/(318.2) ≈ 3.4210655 Rounding to four decimal places: 3.4211 e) Step 1: Evaluate the square root and cube root in the numerator. sqrt(151.8) ≈ 12.3190016 [3]73.85 ≈ 4.1969630 Step 2: Add the terms in the numerator. 12.3190016 + 4.1969630 = 16.5159646 Step 3: Evaluate the term in the denominator. 2.376^2 = 5.645376 Step 4: Divide the numerator by the denominator. (16.5159646)/(5.645376) ≈ 2.925600 Rounding to four decimal places: 2.9256 f) Step 1: Evaluate the terms in the numerator. (9.683)^3 ≈ 906.908000 sqrt(89.74) ≈ 9.4731200 Step 2: Add the terms in the numerator. 906.908000 + 9.4731200 = 916.381120 Step 3: Evaluate the term inside the cube root in the denominator. (0.9437)^2 = 0.89057969 198.5 - 0.89057969 = 197.60942031 Step 4: Evaluate the cube root in the denominator. [3]197.60942031 ≈ 5.8248090 Step 5: Divide the numerator by the denominator. (916.381120)/(5.8248090) ≈ 157.32000 Rounding to four decimal places: 157.3200 Got more? Send 'em!