7. Determina la altura del cono mostra de acuerdo con los datos proporcionados \[ \text { Volumen Cono }=\frac{1}{3} \pi r^{2} h \] \[ \frac{1}{3} \pi r^{2}=2 r^{3}+3 r^{2}+5 r^{2}+5 \]

A group of people were asted if some people see the future in their dreams, 207 responded yes", and 429 responded 'no. Find the probability that if a person is chosen at random, the person does NOT believes some people see the future in their dreams. Probability = (Roundto 4 decimal places)

Evaluate the expression. \( \begin{array}{l}n=1 \quad a=2 \\ 9 n+a-8\end{array} \)

planér - cuando decides de antemano cómo harios alg perfecto - cuando algo es lo mejor que puede ser cuándo te duele el estómago y te sientes enfermo alborotado - estar muy agitado o lleno de emoción canásto - una canasta donde pones fu ropa sucia desástre - un evento que sale terriblemente mal presentimiento - cuando sientes que algo va a pas

For a nonzero constant a, find the intercepts of the graph of \( \left(x^{2}+y^{2}\right)^{2}=a^{2}\left(x^{2}-y^{2}\right) \). Then test for symmetry with respect to the \( x \)-axis, the \( y \)-axis, and the origin. What are the intercepts? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The intercept(s) is/are (Use a comma to separate answers as needed. Type an ordered pair.) B. There are no intercepts. Test ( \( \left.x^{2}+y^{2}\right)^{2}=a^{2}\left(x^{2}-y^{2}\right) \) for symmetry with respect to the \( x \)-axis, the \( y \)-axis, and the origin. Select all that apply. A. The graph of the equation is symmetric with respect to the \( x \)-axis. B. The graph of the equaxtion is symmetric with respect to the \( y \)-axis. C. The graph of the equation is symmetric with respect to the origin. \( \square \) D. The graph of the equation is not symmetric.

Factor using the formula for the sum or difference of two cubes. \( x^{3}-27 \) \( x^{3}-27=\square \) (Simplify your answer.)