Select the correct answer. Consider functions fand g.
12 – 16
= 12 + 31 - 10
for I + -5 and 1 # 2
12 - 4
g(x) = 32 – 75 + 12,
for 3 # 3 and * # 4
What is (g)(0)
12 + 21 - 8
OA. (.5)(0) = I2 - 25 - 15,
for 1 € -3 and x 75
12 - 21 - 8
O B. (1.9)(0)
for I * -5 and x # 3
12 + 25 - 15,
12 + 6 + 8
OC. (f. g)(x) = 52 – 23 – 15,
for * * -3 and x 5
12 + 6 + 8
OD. (1.9)(u) = 12 + 25 – 15,
for I + -5 and #3

Use the given degree of confidence and sample data to construct a confidence interval for the population mean mu . assume that the population has a normal distribution. a laboratory tested twelve chicken eggs and found that the mean amount of cholesterol was 185 milligrams with sequals 17.6 milligrams. a confidence interval of 173.8 mgless than muless than 196.2 mg is constructed for the true mean cholesterol content of all such eggs. it was assumed that the population has a normal distribution. what confidence level does this interval represent?

The biologist has a second culture to examine. she knows that the population of the culture doubles every 15 minutes. after 1 hour and 15 minutes, her assistant found that 80,000 bacteria were present. a) what was the size of the initial population? b) predict the size of the culture at t=3 hours. what was the size of the population at 40 minutes? explain and justify your answers. c) create a graph of the population as a function of time. find an equation that can be used to predict the size of the population at any time t. d) examine the rate at which the bacteria culture is growing. how fast is the culture growing after 1 hour? after 1.5 hours? after 2 hours? use a time interval of h = 0.01 hours to estimate these rates. interpret these rates in terms of the context of the problem situation. how do these three rates compare?

∠a and ∠ b are complementary. if m∠ b = 80°, what is the measure of ∠ a? 10° 80° 90° 100°