Eiko is wearing a magic ring that increases the power of her healing spell by \( 30 \% \). Without the ring, her healing spell restores \( H \) health points. Which of the following expressions could represent how many health points the spell restores when Eiko is wearing the magic ring? Choose 2 answers: A \( 0.7 H \) ( \( \frac{130}{100} H \) ( \( \left.\frac{3}{10}+1\right) H \)

5. Problema de Comida: En una fiesta, hay \( x \) personas. Cada persona trae 3 bocadillos. Si se han traído un total de 27 bocadillos, ¿cuántas personas hay en la fiesta? - Ecuación: \( 3 \mathbf{x}=\mathbf{2 7} \)

Identify the solutions of \( 3+4 \sqrt[3]{x^{2}-13}=-5 \). (1 point) \( \begin{array}{l}2 \sqrt{3},-2 \sqrt{3} \\ \sqrt{13},-\sqrt{13} \\ \sqrt{5},-\sqrt{5} \\ \sqrt{21},-\sqrt{21}\end{array} \)

1. Realiza las siguientes multiplicaciones. a. \( \frac{2}{3} x \cdot\left(6 x^{2}-5 x+\frac{1}{2}\right) \) b. \( 5 a \cdot\left(3 a^{2}-2 a b+7 b^{2}\right) \) c. \( (4 m-2 n)(3 m+9 n) \) d. \( (8 x-3)\left(x^{2}-5 x+6\right) \)

Write the following in simplified radical form. \( \sqrt[3]{24 y^{11}} \)

\( 3\sqrt {-\frac{1}{8}}(-\frac{8}{9}).(-\frac{27}{2})+(-\frac{1}{3})\div \frac{23}{10} \)