Durante uma aula de matemática, um professor desafia seus alunos, apresento potências de base sequência de expoentes dessa sequência são os termos da sequência aritmética de razão 3, começando pelo \( 0 . \mathrm{A} \) sequência de potências se inicia assim \( 2^{\wedge} 0,2^{\wedge} 3,2^{\wedge} 6,2^{\wedge} 9,2^{\wedge} 12, \ldots . .0 \) professor então pergunta qual é a potência de base 2 que corresponde ao décimo termo dessa sequência de potências?

Determine whether the following statment is true or false. The graph of \( y=\frac{1}{7} g(x) \) is the graph of \( y=g(x) \) stretched by a factor of 7 . Choose the correct answer below. A. True, because the graph of the new function is obtained by adding 7 to each \( x \)-coordinate. Balse, because the graph of the new function is obtained by multiplying each \( y \)-coordinate of \( y=g(x) \) by \( \frac{1}{7}<1 \). C. True, because the graph of the new function is obtained by multiplying each \( y \)-coordinate of \( y=g(x) \) by 7 and \( 7>1 \). D. False, because the graph of the new function is obtained by adding 7 to each \( x \)-coordinate.

8. \( -5 \frac{1}{3}-\left(-6 \frac{2}{3}\right) \)

A 25 -year old woman burns \( 350-70 t \) cal/hr while walking on her treadmill. Her caloric intake from drinking Gatorade is \( 135 t \) calories during the \( t \) th hour. What is her net decrease in calories after walking for 4 hours?

Calcula las siguientes potencias: \( \begin{array}{ll}\text { a) } 3^{-4}=\frac{\square}{\square} & \text { b) }(3 / 4)^{-2}=\frac{\square}{\square}\end{array} \)

\( \frac{2}{5\times 8}+\frac{2}{8\times 11}+\frac{2}{11\times 14}+...+\frac{2}{29\times 32} \)