If the tiger has consumed 132 pounds of food in 11 days that's \( \frac{132}{11} \) = 12 pounds of food per day. The tiger needs to consume 180 - 132 = 48 more pounds of food to reach 180 pounds total. At 12 pounds of food per day that's \( \frac{48}{12} \) = 4 more days.

The equation for this sequence is:

a_n = a_n-1 + 2

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 + 2
a₆ = 9 + 2
a₆ = 11

If 55% of the town's 13,000 voters cast ballots the number of votes cast is:

(\( \frac{55}{100} \)) x 13,000 = \( \frac{715,000}{100} \) = 7,150

The mayor got 81% of the votes cast which is:

(\( \frac{81}{100} \)) x 7,150 = \( \frac{579,150}{100} \) = 5,792 votes.

The area of a rectangle is width (w) x height (h). In this problem we know that the rectangle is twice as long as it is wide so h = 2w. The perimeter of a rectangle is 2w + 2h and we know that the perimeter of this rectangle is 36 meters so the equation becomes: 2w + 2h = 36.

Putting these two equations together and solving for width (w):

2w + 2h = 36
w + h = \( \frac{36}{2} \)
w + h = 18
w = 18 - h

From the question we know that h = 2w so substituting 2w for h gives us:

w = 18 - 2w
3w = 18
w = \( \frac{18}{3} \)
w = 6

Since h = 2w that makes h = (2 x 6) = 12 and the area = h x w = 6 x 12 = 72 m²

To raise a term with an exponent to another exponent, retain the base and multiply the exponents: