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
Here are the solutions to the problems. d) Step 1: Evaluate the terms in the numerator. (1.789)^4 ≈ 10.239601 (12.19)^2 ≈ 148.5961 Step 2: Multiply the terms in the numerator. 10.239601 × 148.5961 ≈ 1521.8009 Step 3: Divide the numerator by the denominator. (1521.8009)/(316.2) ≈ 4.812969 Rounding to four decimal places: 4.8130 e) Step 1: Evaluate the square root and cube root in the numerator. sqrt(151.8) ≈ 12.319172 [3]73.85 ≈ 4.196963 Step 2: Add the terms in the numerator. 12.319172 + 4.196963 = 16.516135 Step 3: Evaluate the term in the denominator. 2.376^2 ≈ 5.645376 Step 4: Divide the numerator by the denominator. (16.516135)/(5.645376) ≈ 2.92560 Rounding to four decimal places: 2.9256 f) Step 1: Evaluate the terms in the numerator. (9.683)^3 ≈ 906.9080 sqrt(89.74) ≈ 9.473120 Step 2: Add the terms in the numerator. 906.9080 + 9.473120 = 916.38112 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 ≈ 5.824809 Step 5: Divide the numerator by the denominator. (916.38112)/(5.824809) ≈ 157.3200 Rounding to four decimal places: 157.3200 That's 2 down. 3 left today — send the next one.