There are 3 5-passenger taxis available so that's 3 x 5 = 15 total seats. There are 16 people needing transportation leaving 16 - 15 = 1 who will have to find other transportation.

The area of a circle is given by the formula A = πr² where r is the radius of the circle. The radius of a circle is its diameter divided by two so A = π(\( \frac{d}{2} \))². If the diameter of the logo increases by 45% the radius (and, consequently, the total area) increases by \( \frac{45\text{%}}{2} \) = 22\(\frac{1}{2}\)%

To find the average of these 4 numbers add them together then divide by 4:

\( \frac{9 + 5 + 8 + 6}{4} \) = \( \frac{28}{4} \) = 7

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 54 meters so the equation becomes: 2w + 2h = 54.

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

2w + 2h = 54
w + h = \( \frac{54}{2} \)
w + h = 27
w = 27 - h

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

w = 27 - 2w
3w = 27
w = \( \frac{27}{3} \)
w = 9

Since h = 2w that makes h = (2 x 9) = 18 and the area = h x w = 9 x 18 = 162 m²

First, solve for \( \left|z + 1\right| \):

\( \left|z + 1\right| \) + 1 = 1
\( \left|z + 1\right| \) = 1 - 1
\( \left|z + 1\right| \) = 0

The value inside the absolute value brackets can be either positive or negative so (z + 1) must equal + 0 or -0 for \( \left|z + 1\right| \) to equal 0:

So, z = -1 or z = -1.