if \( 5 x+3 y=3 \), then find \( 32^{x} .8 \) A) 4 B) 8 () 16 D) 32

Evaluate \( \left(\frac{3.5^{7}}{3.5^{6}}\right)^{2} \)

Use the recursively defined geometric sequence \( a_{1}=\frac{5}{6}, a_{n}=4 a_{n-1} \) and find the common ratio. (1 point) \( 0 \frac{5}{6} \) \( 0-\frac{2}{3} \) \( 0 \frac{10}{3} \)

\( \frac { 1 } { r } x \frac { 1 - ( \frac { 1 } { r } ) ^ { n } } { 1 - \frac { 1 } { r } } \geq \frac { 9 r } { 100 } \Rightarrow 1 - \frac { 1 } { r ^ { n } } \geq \frac { 9 r } { 100 } \)

\( \frac { 1 } { r } \times \frac { 1 - ( \frac { 1 } { r } ) ^ { n } } { 1 - \frac { 1 } { r } } \geq \frac { 9 r } { 100 } \Rightarrow 1 - \frac { 1 } { r ^ { n } } \geq \frac { 9 r } { 100 } \)

8. \( \left(4^{\frac{1}{5}}\right)\left(4^{\frac{3}{10}}\right) \)