Final answer:
To solve the expression 1/2 (10) x 0.23^2 + 0.74 x 0.23, follow the order of operations: parentheses, exponents, multiplication, addition.
Step-by-step explanation:
To solve the expression 1/2 (10) x 0.23^2 + 0.74 x 0.23, we can follow the order of operations, which is parentheses/brackets, exponents, multiplication/division (from left to right), and addition/subtraction (from left to right).
Step 1: Evaluate the exponent 0.23^2, which means multiplying 0.23 by itself: 0.23 x 0.23 = 0.0529.
Step 2: Multiply 1/2 (10) by 0.0529: 0.5 x 10 x 0.0529 = 0.2645.
Step 3: Multiply 0.74 by 0.23: 0.74 x 0.23 = 0.1702.
Step 4: Add the results from Step 2 and Step 3: 0.2645 + 0.1702 = 0.4347.
Therefore, when we solve the expression, the answer is approximately 0.4347.