In this lab procedure, the ___ variable is the number of half-life cycles (time) and the ___ variable is the number (or fraction) of (radioactive) Lincolnium nuclei remaining at that time.

Independent, Dependent

Explanation:

In the given lab procedure, the number of half-life cycles or the time in which the number of nuclei in radio-active substance turns into its half would be characterized as the 'independent' variable as it directly affects the dependent variable i.e. 'the number(or fraction) of Lincolnium nuclei remaining at that time.' The number of nuclei would be the dependent variable as it bears the change or effect of a change in the independent variable(half-life cycle).

the density of gold = 19.3 g/cm3

the relation between density and mass and volume is

density = mass / volume

given :

mass of gold = 13 g

density = 13g / volume = 19.3

volume = 13 /19.3 = 0.67 cm^3

thus volume of gold nugget = 0.67 cm^3