To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:

\( \sqrt{\frac{36}{4}} \)
\( \frac{\sqrt{36}}{\sqrt{4}} \)
\( \frac{\sqrt{6^2}}{\sqrt{2^2}} \)
\( \frac{6}{2} \)
3

62% of the water consumption is industrial use and 28% is personal use so (62% - 28%) = 34% more water is used for industrial purposes. 35,000 gallons are consumed daily so industry consumes \( \frac{34}{100} \) x 35,000 gallons = 11,900 gallons.

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).

First, solve for \( \left|b + 4\right| \):

\( \left|b + 4\right| \) + 1 = 4
\( \left|b + 4\right| \) = 4 - 1
\( \left|b + 4\right| \) = 3

The value inside the absolute value brackets can be either positive or negative so (b + 4) must equal + 3 or -3 for \( \left|b + 4\right| \) to equal 3:

So, b = -7 or b = -1.

If the tiger has consumed 56 pounds of food in 4 days that's \( \frac{56}{4} \) = 14 pounds of food per day. The tiger needs to consume 126 - 56 = 70 more pounds of food to reach 126 pounds total. At 14 pounds of food per day that's \( \frac{70}{14} \) = 5 more days.