Acertain number is both a perfect square and a perfect cube. will its square root and its cube root always be different numbers? explain.

The step function g(x) is defined as shown.what is the range of g(x)? ***answer choices in picture.

When you answer this can you explain

Arefrigeration system at your company uses temperature sensors fixed to read celsius (°c) values, but the system operators in your control room understand only the fahrenheit scale. you have been asked to make a fahrenheit (°f) label for the high temperature alarm, which is set to ring whenever the system temperature rises above –10°c. what fahrenheit value should you write on the label?