Ryan, Michelle, and Emily are at an amusement park together: 

-Ryan spent \( \$ 13.50 \) to purchase \( 3 \) tickets for the Ferris wheel and \( 2 \) tickets for the water slide.

-Michelle spent \( \$ 16.50 \) to purchase \( 1 \) ticket for the Ferris wheel and \( 4 \) tickets for the merry-go-round. 

- Emily spent \( \$ 14 \) to purchase \( 3 \) tickets for the Ferris wheel, \( 1 \) ticket for the water slide, and \( 1 \) ticket for the merry-go-round. 

Let \( x , y \) , and \( z \) represent the ticket cost for the Ferris wheel, water slide, and merry-go-round, respectively. Which matrix equation can be solved to find the cost of each type of ticket? 

A.\(\left[ \begin{array} { l l l } { 3 } & { 1 } & { 3 } \\ { 2 } & { 0 } & { 1 } \\ { 0 } & { 4 } & { 1 } \end{array} \right] \left[ \begin{array} { l } { x } \\ { y } \\ { z } \end{array} \right] = \left[ \begin{array} { c } { 13.5 } \\ { 16.5 } \\ { 14 } \end{array} \right] \) 

B.\( \left[ \begin{array} { l l l } { 3 } & { 1 } & { 3 } \\ { 0 } & { 4 } & { 1 } \\ { 2 } & { 0 } & { 1 } \end{array} \right] \left[ \begin{array} { l } { x } \\ { y } \\ { z } \end{array} \right] = \left[ \begin{array} { c } { 13.5 } \\ { 16.5 } \\ { 14 } \end{array} \right] \) 

C.\( \left[ \begin{array} { l l l } { 3 } & { 2 } & { 0 } \\ { 1 } & { 0 } & { 4 } \\ { 3 } & { 1 } & { 1 } \end{array} \right] \left[ \begin{array} { c } { x } \\ { y } \\ { z } \end{array} \right] = \left[ \begin{array} { l } { 13.5 } \\ { 16.5 } \\ { 14 } \end{array} \right] \) 

D.\( \left[ \begin{array} { l l l } { 3 } & { 0 } & { 2 } \\ { 1 } & { 4 } & { 0 } \\ { 3 } & { 1 } & { 1 } \end{array} \right] \left[ \begin{array} { c } { x } \\ { y } \\ { z } \end{array} \right] = \left[ \begin{array} { c } { 13.5 } \\ { 16.5 } \\ { 14 } \end{array} \right]\) 

2. The frequency of the oscillations of a pendulum varies inversely with the square root of the length. How does the frequency change if the pendulur's length is increased to \(4\) times the previous length? 

\(\bigcirc \text { } F _ { new} = 1 / 2 F\)

\(\bigcirc \text { } F _ { new} = 1 / 4 F\)

\(\bigcirc \text { } F _ { new} = 4 F\)

\(\bigcirc \text { } F _ { new} = 2 F\)

\(\bigcirc \) None of the above

6. In Cicero, Illinois, each block is \(\frac { 1 } { 8 } \) mile, or \(660\) feet, long. Numbered avenues run north-south while numbered streets run east-west; a few named roads are oblique to the city grid. Al is starting at the intersection of  \(28^ { th} \)Street and \(50\) th Avenue and heading for \(31 ^ { st} \) Street and \(57^ { th} \)Avenue. His route will be how much shorter if he walks along Ogden Road, which passes through both of those points, than if he walks along \(50 ^ { th} \) and then along \(31^ { st} \)(Round to the nearest foot.)

 A) \(61 ft\) 

B) \(196 ft\) 

C) \(1574 ft\) 

D) \(5026 ft\) 

2. Diketahui himpunan sebagai berikut: 

\(S = \{ 0,1,2,3,4,5,6,7,8,9 \} ; P = \{ 2,4,6,8 \} ; Q = \{ 0,3,5,9 \} ; R = \{ 3,7,9 \} \) 

Tentukan:

 a) \(P \cap R\)                               e) \(Q \cup R\) 

b) \(P \cup ( Q - R ) \)                 f) \(P ^ { \prime } \cup Q ^ { \prime } \) 

c) \(P ^ { \prime } \cap Q\)                               g) \(Q \times R\) 

d) \(Q - P\)                                h) \(R - Q\) 

A Ferris Wheel has a radius of \(60\) feet and makes one revolution every \(4\) minutes (so you could write this as \(\frac { 1 \text { revolution} } { 4 \text { minutes} } \)or \(\frac { 1 } { 4 } \frac { r e v } { m i n } \) ). Find the linear speed in feet per minute. Round to three decimal places. Show all calculations in your written work. 

Object \( A \) has a mass \( mA \) and velocity vA. Object \( B \) has a mass equal to \( 3 mA \) . What velocity would object \( B \) have if its momentum equaled the momentum of object \( A \) ?