Use the product rule, quotient rule, or power rule to expand the logarithmic expression. Wherever possible, evaluate logarithmic expressions.ln 
A. x ln 4
B. 4ln x
C. 
ln x
D. 4ln 
Answer: C
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Find the expected value.A fair coin is tossed three times, and a player wins $3 if 3 tails occur, wins $2 if 2 tails occur and loses $3 if no tails occur. If one tail occurs, no one wins. What is the expected value of the games?
A. $0.75 B. $2.00 C. -$3.00 D. $3.00
Provide an appropriate response.According to data collected during one year in a large metropolitan community, 30% of commuters used public transportation to get to work, and this rose by 4% the following year. This is modeled by the transition matrix 
M = 
where P represents the percentage of people that use public transportation and P' the percentage of people that do not. Let S0 = [0.3 0.7]. Find S1.
A. [0.3 0.7] B. [0.66 0.34] C. [0.9 0.1] D. [0.34 0.66]
Perform the indicated operation. Simplify if possible.
- 
A. 
B. 
C. 
D. 
The line graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport. 
If the temperature continues to decrease by the same amount as from 5 p.m. to 6 p.m., what will the temperature be at 10 p.m.?
A. 72°F B. 79°F C. 70°F D. 71°F