3 The middle proportional between the two numbers 3 and 12 is ............. \( \begin{array}{llll}\text { (a) } \pm 3 & \text { (b) } \pm 4 & \text { (c) } \pm 6 & \text { (d) } \pm 12\end{array} \)

\[ S_{n}=1+2+3+\cdots+n \] Calcule \( S_{278} \)

A population of 60 deer are introduced into a wildlife sanctuary. It is estimated that the sanctuary can sustain up to 600 deer. Absent constraints, the population would grow by \( 10 \% \) per year. Estimate the population after one year \( p_{1}= \) Estimate the population after two years \( p_{2}= \)

Expand the logarithm fully using the properties of logs. Express the final answer in terms of \( \log x \). \[ \log 8 x^{3} \] Answer Attempt 1 out of 2

\[ S_{n}=1^{3}+2^{3}+3^{3}+\cdots+n^{3} \] Calcule \[ S_{35} \]

La cantidad de un material radiactivo disminuye a la mitad cada 10 años. Si comenzamos con 80 gramos, ¿cuánto quedará después de 30 años?