A logistics company uses the function $g(x) = \sqrt[3]{x - 6}$ to determine the 'Resource Allocation Score' for local delivery hubs, where $x$ represents the number of active delivery vehicles. According to the company manual, if a hub has 14 active vehicles, what is its Resource Allocation Score?

A manufacturing plant uses the function $g(x) = \sqrt[3]{x - 6}$ to calibrate precision tools. According to the plant's official calibration sheet, evaluating this function for an input of $x = -2$ results in a final value of ____.

A safety inspector uses the function $g(x) = \sqrt[3]{x - 6}$ to determine the 'Pressure Deviation Index' for a gas valve, where $x$ is the measured pressure. Arrange the steps of the evaluation process in the correct order to find the Index when the measured pressure is ${}70$ units.

A quality control technician at a tool manufacturing plant uses the function $g(x) = \sqrt[3]{x - 6}$ to determine the 'Stress Tolerance Index' for different metal alloys, where $x$ represents the alloying agent concentration. Based on the plant's official technical specifications, match each concentration or evaluation step with its corresponding value.

A logistics coordinator uses the function $g(x) = \sqrt[3]{x - 6}$ to calculate a 'Fuel Consumption Variance' score. In the correct mathematical process for evaluating this function for a given input, the cube root operation should be performed before the subtraction of 6.

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