If the tiger has consumed 150 pounds of food in 10 days that's \( \frac{150}{10} \) = 15 pounds of food per day. The tiger needs to consume 225 - 150 = 75 more pounds of food to reach 225 pounds total. At 15 pounds of food per day that's \( \frac{75}{15} \) = 5 more days.

The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.

The number of students taking German or Spanish is 5 + 12 = 17. Of that group of 17, 2 are taking both languages so they've been counted twice (once in the German group and once in the Spanish group). Subtracting them out leaves 17 - 2 = 15 who are taking at least one language. 29 - 15 = 14 students who are not taking either language.

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

\( \left|b - 4\right| \) + 1 = 1
\( \left|b - 4\right| \) = 1 - 1
\( \left|b - 4\right| \) = 0

The value inside the absolute value brackets can be either positive or negative so (b - 4) must equal + 0 or -0 for \( \left|b - 4\right| \) to equal 0:

So, b = 4 or b = 4.

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).