59% of the water consumption is industrial use and 29% is personal use so (59% - 29%) = 30% more water is used for industrial purposes. 25,000 gallons are consumed daily so industry consumes \( \frac{30}{100} \) x 25,000 gallons = 7,500 gallons.

To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:

2z⁵ - 1z⁵
(2 - 1)z⁵
z⁵

A number with an exponent (b^e) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b¹ = b) and a base with an exponent of 0 equals 1 ( (b⁰ = 1).

The equation for this sequence is:

a_n = a_n-1 + 8

where n is the term's order in the sequence, a_n is the value of the term, and a_n-1 is the value of the term before a_n. This makes the next number:

a₆ = a₅ + 8
a₆ = 33 + 8
a₆ = 41

To divide fractions, invert the second fraction and then multiply:

\( \frac{3}{5} \) ÷ \( \frac{1}{5} \) = \( \frac{3}{5} \) x \( \frac{5}{1} \)

To multiply fractions, multiply the numerators together and then multiply the denominators together:

\( \frac{3}{5} \) x \( \frac{5}{1} \) = \( \frac{3 x 5}{5 x 1} \) = \( \frac{15}{5} \) = 3