The line graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport. 
At what times was the temperature higher than 77°F?
A. from 11 a.m. until 3 p.m.
B. after 12 p.m.
C. from 12 p.m. until 1 p.m.
D. from 12 p.m. until 3 p.m.
Answer: D
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Calculate the direction of 
and the midpoint of line segment P1P2.P1(1, -1, -6) and P2(2, 1, -4)
A. 
i + 
j + 
k; 
B. 
i + 
j + 2k; 
C. 
i + 
j + 
k; 
D. 
i + 
j + 
k; 
Solve the problem.An experiment in a wind tunnel generates cyclic waves. The following data is collected for 60 seconds:
Let V represent the wind speed (velocity) in feet per second and let t represent the time in seconds. Write a sine equation that describes the wave.
A. V = 70 sin(60t - 30) + 24
B. V = 46 sin (60t - 30) + 23
C. V = 23 sin 
+ 47
D. V = 70 sin 
+ 24
Solve the problem.The number of male lawyers, in thousands, in a certain country in a particular year can be approximated by the function 
where x represents the number of years after 1985. The number of female lawyers , in thousands, in a certain country in a particular year can be approximated by the function 
where again x represents the number of years after 1985. (i) Find (f + g)(x). Explain, in your own words, what this function represents.(ii) Find (f + g)(40). Explain, in your own words, what this number represents.
A. (i) (f + g)(x) = 173.4x + 224.3; this is the total number of lawyers, in thousands, in a certain country x years after 1985. (ii) 7160.3; there will be 7,160,300 lawyers in a certain country in the year 2025. B. (i) (f + g)(x) = 21.7x + 376; this is the total number of lawyers, in thousands, in a certain country x years after 1985. (ii) 1244; there will be 1,244,000 lawyers in a certain country in the year 2025. C. (i) (f + g)(x) = 397.7x; this is the total number of lawyers, in thousands, in a certain country x years after 1985. (ii) 15,908; there will be 15,908,000 lawyers in a certain country in the year 2025. D. (i) (f + g)(x) = 225.4x + 172.3; this is the total number of lawyers, in thousands, in a certain country x years after 1985. (ii) 9188.3; there will be 9,188,300 lawyers in a certain country in the year 2025.
Simplify.eln 0.357
A. log 0.357 B. ln -0.357 C. -0.357 D. 0.357