To add these fractions, first find the lowest common multiple of their denominators. The first few multiples of 3 are [3, 6, 9, 12, 15, 18, 21, 24, 27, 30] and the first few multiples of 11 are [11, 22, 33, 44, 55, 66, 77, 88, 99]. The first few multiples they share are [33, 66, 99] making 33 the smallest multiple 3 and 11 share.

Next, convert the fractions so each denominator equals the lowest common multiple:

\( \frac{3 x 11}{3 x 11} \) + \( \frac{6 x 3}{11 x 3} \)

\( \frac{33}{33} \) + \( \frac{18}{33} \)

Now, because the fractions share a common denominator, you can add them:

\( \frac{33 + 18}{33} \) = \( \frac{51}{33} \) = 1\(\frac{6}{11}\)

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

1c² + 4c²
(1 + 4)c²
5c²

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

\( \frac{16 + 10 + 17 + 9}{4} \) = \( \frac{52}{4} \) = 13

To simplify a radical, factor out the perfect squares:

\( \sqrt{125} \)
\( \sqrt{25 \times 5} \)
\( \sqrt{5^2 \times 5} \)
5\( \sqrt{5} \)

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 60% the radius (and, consequently, the total area) increases by \( \frac{60\text{%}}{2} \) = 30%