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 evaluations, corrected to one decimal place: 1.1 Step 1: Calculate 12^. 12^ ≈ 0.2079 Step 2: Round to one decimal place. 0.2079 ≈ 0.2 The value is 0.2. 1.2 Step 1: Calculate 20^. 20^ ≈ 0.9397 Step 2: Multiply by (2)/(3). (2)/(3) 20^ ≈ (2)/(3) × 0.9397 ≈ 0.6265 Step 3: Round to one decimal place. 0.6265 ≈ 0.6 The value is 0.6. 1.3 Step 1: Calculate 39^ and 21^. 39^ ≈ 0.6293 21^ ≈ 0.9336 Step 2: Divide the values. ( 39^)/( 21^) ≈ (0.6293)/(0.9336) ≈ 0.6740 Step 3: Round to one decimal place. 0.6740 ≈ 0.7 The value is 0.7. 1.4 Step 1: Calculate 2 65^ and 40^. 65^ ≈ 0.4226 2 65^ ≈ 2 × 0.4226 = 0.8452 40^ = (1)/( 40^) ≈ (1)/(0.8391) ≈ 1.1918 Step 2: Add the results. 2 65^ + 40^ ≈ 0.8452 + 1.1918 = 2.0370 Step 3: Round to one decimal place. 2.0370 ≈ 2.0 The value is 2.0. 1.5 Step 1: Use the double angle identity (2) = 2 . 2 55^ 55^ = (2 × 55^) = 110^ Step 2: Calculate 110^. 110^ ≈ 0.9397 Step 3: Round to one decimal place. 0.9397 ≈ 0.9 The value is 0.9. Given x = 39^ and y = 25^: 2.1 Step 1: Substitute x = 39^ and calculate 2 39^. 2 39^ ≈ 2 × 0.6293 = 1.2586 Step 2: Round to one decimal place. 1.2586 ≈ 1.3 The value is 1.3. 2.2 Step 1: Substitute y = 25^ and calculate 3 25^. 3 25^ ≈ 3 × 0.9063 = 2.7189 Step 2: Round to one decimal place. 2.7189 ≈ 2.7 The value is 2.7. 2.3 Step 1: Substitute y = 25^ and calculate ^2 25^. 25^ = (1)/( 25^) ≈ (1)/(0.4226) ≈ 2.3662 ^2 25^ ≈ (2.3662)^2 ≈ 5.5989 Step 2: Round to one decimal place. 5.5989 ≈ 5.6 The value is 5.6. 2.4 Step 1: Calculate (x+y)/(2). (x+y)/(2) = (39^ + 25^)/(2) = (64^)/(2) = 32^ Step 2: Calculate 32^. 32^ ≈ 0.6249 Step 3: Round to one decimal place. 0.6249 ≈ 0.6 The value is 0.6. 2.5 Step 1: Calculate x and y. 39^ ≈ 0.6293 25^ ≈ 0.4226 Step 2: Add the values. x + y ≈ 0.6293 + 0.4226 = 1.0519 Step 3: Round to one decimal place. 1.0519 ≈ 1.1 The value is 1.1. 2.6 Step 1: Calculate x + 2y. x + 2y = 39^ + 2(25^) = 39^ + 50^ = 89^ Step 2: Calculate 2 89^. 2 89^ ≈ 2 × 0.0175 = 0.0350 Step 3: Round to one decimal place. 0.0350 ≈ 0.0 The value is 0.0. That's 2 down. 3 left today — send the next one.