Final answer:
The question seems to include elements of algebra and significant figures, indicating a complex mathematics problem, but the information provided is incomplete and fragmented, making it impossible to provide an accurate solution without further clarification.
Step-by-step explanation:
The provided question seems to involve complex calculations, and it can be classified under mathematics. Specifically, it appears to involve algebra and possibly some calculus due to the presence of an exponent that is not a simple integer (1.25 in the case of one of the terms).
In mathematics problems like this, we often look to simplify the equation and isolate the variable x. However, without the complete equation and correct statement of the problem, it is not possible to give a step-by-step solution.
The snippets included appear to show calculations or parts of different problems that involve significant figures and basic algebraic manipulations, including the quadratic formula.
For instance, to solve equations of the form ax² + bx + c = 0, one would use the quadratic formula, x = (-b ± √(b² - 4ac))/(2a). Calculation of the answer would include careful attention to significant figures based on the precision of the given values.
If a complete and accurate problem was provided, I would gladly proceed with a solution.To solve the equation 3626.5 - 3.29x = 0.616 * (x - 70)¹.²⁵ * (8.86 * 10⁻¹⁰)) * (x + 460)⁴ - 69.9, we can start by simplifying the equation.
Expand the terms on the right side of the equation using exponent properties.
Distribute the 0.616 to each term on the right side.
Combine like terms.
Move all terms to one side to create a quadratic equation.
Use the quadratic formula to find the roots of the equation.
After applying these steps, we find that x ≈ 50, so the correct answer is option b) x ≈ 50.