Why are there so many earthquakes in South America? South America's incredible biodiversity lends itself to hazardous conditions. South America's location atop the Nazca and South American plates of the circum-Pacific belt. South America's lack of stable infrastructure and good building codes. South America's proximity to two major oceans and the equator.

Use the quadratic formula to solve the equation \( -x^{2}-2 x-4=0 \) \( \begin{array}{l}x=-1 \pm i \sqrt{3} \\ x=1 \pm \sqrt{5} \\ x=1 \pm i \sqrt{3} \\ x=-1 \pm \sqrt{5}\end{array} \)

G. \( \left(\frac{2}{3}\right)^{3 x-2} \cdot\left(\frac{4}{9}\right)^{2 x+1} \leq\left(\frac{8}{27}\right)^{x-3} \) H. \( 2^{x-1}+2^{x}+2^{x+1}-2^{x+2}+2^{x+3}>240 \) I. \( 3^{x+5}-3^{x+4}+3^{x+3}-3^{x+2}<540 \) J. \( 4^{x}-6 \cdot 2^{x}+8<0 \) K. \( 3^{2 x}-3^{x+1}>3^{x}-3 \) L. \( 3^{x}\left(3^{x}-1\right) \geq 1-3^{-x} \)

Simplify the expression \( (-1+6 i)+(-4+2 i) \) \( -5+8 i \) \( 3+8 i \) \( -3+8 i \) \( 5-8 i \)

Which of the following is the correct notation for the complex number \( 24+\sqrt{-25} \) ? \( \begin{array}{l}24+i \sqrt{25} \\ 24+5 i \\ 24-i \sqrt{25} \\ 24-5 i\end{array} \)

4.- \( \begin{array}{ll}\text { a) }\left(2^{3} \cdot 2^{1}\right) \cdot 1^{3}= & \text { b) }\left(100 \cdot 2^{-1}\right) \cdot 10^{-5}= \\ \text { c) }\left(2^{3} \cdot 10^{5}\right): 1000 & \text { d) }\left(100^{-2}: 100^{-3}\right) \\ \text { e) } 2\left(10^{2} \cdot 1^{5} \cdot 100\right) & \text { d) }\left[\left(2^{3} \cdot 3^{3}\right):\left(6^{2} \cdot 6^{3}\right)\right] \\ \text { g) } 10^{2}+\left(5^{0} \cdot 1^{5}\right) & \end{array} \)