Iladin alone can feed all the animals on a farm in \( 20 \) minutes. Katrina can feed all the animals on the farm in \( 30 \) minutes. From this information, is it reasonable to conclude that Iladin and Katrina together can feed all the animals in \( 12 \) minutes, and why or why not? 

No, because \( 12 < 20 \) and \( 12 < 30 \) .  

No, because \( 12 > 30 - 20 . \) 

Yes, because \( 12 < 20 \) and \( 12 < 30 . \) 

Yes, because \( 12 > 30 - 20 .\) 

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 \( A \) ?