If x = 10, what is the value of "z" in the equation, z = (x^3 / 5) - 12?

To find the value of "z" in the equation ( z = \frac{x^3}{5} - 12 ) when ( x = 10 ), you first need to calculate ( x^3 ).

First, calculate ( x^3 ):

[

x^3 = 10^3 = 1000.

]

Next, substitute this value into the equation for ( z ):

[

z = \frac{1000}{5} - 12.

]

Now, calculate ( \frac{1000}{5} ):

[

\frac{1000}{5} = 200.

]

Now, subtract 12 from 200:

[

z = 200 - 12 = 188.

]

Thus, the value of "z" is 188, confirming the accuracy of the first answer choice. The calculations align perfectly with the given equation, leading to the correct conclusion that "z" is determined accurately based on the operations applied to ( x ).