n los ejercicios I a 5 escriba el vector dado usando los vecto- s de la base estandar para \( \mathbf{R}^{2} y \mathbf{R}^{3} \). \( \begin{array}{lll}\text { 1. }(2,4) & \text { 2. }(9,-6) & \text { 3. }(3, \pi,-7) \\ \text { 4. }(-1,2,5) & \text { 5. }(2,4,0) & \end{array} \)

Sets \( A \) and \( B \) are subsets of the universal set \( U \). These sets are defined as follows. \[ \begin{array}{l}U=\{1,3,5,7,8\} \\ A=\{3,5,8\} \\ B=\{1,3\}\end{array} \] Find the following sets. Write your answer in roster form or as \( \varnothing \). (a) \( (A \cap B)^{\prime}=\square \) (b) \( A^{\prime} \cup B=\square \)

The ignition can only be started if the vehicle is in park (for automatic transmission) or neutral (for manual transmission). a) True b) False

Sets \( A \) and \( B \) are subsets of the universal set \( U \). These sets are defined as follows. \[ \begin{array}{l}U=\{k, m, q, s, y, z\} \\ A=\{q, z\} \\ B=\{q, y\}\end{array} \] Find the following sets. Write your answer in roster form or as \( \varnothing \). (a) \( A \cup B^{\prime}=\square \) (b) \( A^{\prime} \cap B^{\prime}=\square \)

How much does it cost to get a TANKED fish tank?

\( \left( \begin{array} { l } { n } \\ { p } \end{array} \right) = \left( \begin{array} { c } { n - 2 } \\ { p } \end{array} \right) + 2 \left( \begin{array} { l } { n - 2 } \\ { p - 1 } \end{array} \right) + \left( \begin{array} { l } { n - 2 } \\ { p - 2 } \end{array} \right) \)