Final answer:
To solve the formula '=8+(7/(2+5)^2-1/7)*3,' one must follow the order of operations. After calculating each part, it seems that there might be a typo in the question or incorrect answer choices provided, as the result should be close to 8, but none of the options given match appropriately.
Step-by-step explanation:
The result of the formula =8+(7/(2+5)^2-1/7)*3 is calculated by following the order of operations, also known as PEMDAS (parentheses, exponents, multiplication and division from left to right, addition and subtraction from left to right). Let's solve it step by step:
- Calculate the expression inside the parentheses: (2+5) which equals 7.
- Calculate the exponent: 7^2 which equals 49.
- Divide 7 by 49 which equals approximately 0.142857.
- Subtract 1/7 (which is approximately 0.142857) from the result in step 3.
- The subtraction results in nearly 0, so the whole expression within the inner parentheses becomes negligible when considering multiplication by 3.
- Thus, you are left with 8 + (a number very close to 0), which leaves you with an answer very close to 8.
The closest answer to 8 is D) 6.77, which doesn't seem correct given our steps. Since none of the other options are closer, either the question has a typo, the answer choices are incorrect, or we are expected to round the tiny fraction that resulted from the subtraction in step 4 before multiplying by 3. Without more context, it's hard to determine the exact expectation.