Josh examines the expression 5^-x over 5^x, where m is greater than 0. he claims that the expression has a value equal to 1 because it simplifies to 5^0, and any integer to the 0 power is 1. is josh correct? explain why or why not.

Josh is wrong.

Step-by-step explanation:

5^-x / 5^x  = 5^(-x-x) = 5^-2x

= 1 / 5^2x  

 (you subtract the exponents when dividing )

So Josh is wrong  ( he would be correct if we were multiplying)

whole numbers.

step-by-step explanation:

we are given the average monthly rainfall (in millimeters) model r(m) for the years 1900-2009 as a function of the month number m.

as we can see m is taken for the number of months for years 1900-2009.

we know that number of months can't be a negative number or decimal number or a fraction.

so, the number of months could be only positive whole numbers.

therefore, whole numbers is more appropriate for the domain of r.