The population of pigeons in a park is represented by the function \displaystyle f\left(x\right)=170\cdot0.77^{x}f(x )=170⋅0.77 x
can be used to model the population of pigeons x years after their population was first recorded. Answer the following questions.

1. Does the function represent exponential growth or decay?

2. What is the rate as a percent for this function?
%

3. How many pigeons will there be in the park after 5 years? Round to the nearest whole pigeon.

4. Using Desmos, approximately how many years will it take the park to reach 1 pigeon? Round to the nearest year.
years

5. What was the initial number of pigeons in the park?

The table shows population statistics for the ages of best actor and best supporting actor winners at an awards ceremony. the distributions of the ages are approximately bell-shaped. compare the z-scores for the actors in the following situation. best actor best supporting actor muequals42.0 muequals49.0 sigmaequals7.3 sigmaequals15 in a particular year, the best actor was 59 years old and the best supporting actor was 45 years old. determine the z-scores for each. best actor: z equals best supporting actor: z equals (round to two decimal places as needed.) interpret the z-scores. the best actor was (more than 2 standard deviations above more than 1 standard deviation above less than 1 standard deviation above less than 2 standard deviations below) the mean, which (is not, is) unusual. the best supporting actor was (less than 1 standard deviation below more than 1 standard deviation above more than 2 standard deviations below more than 1 standard deviation below) the mean, which (is is not) unusual.

The volume of a sphere is increased by 6%. calculate the corresponding percentage increased in it area.

Lines b and c are parallel. what is the measure of 2? m2 = 31° m2 = 50° m2 = 120° m2 = 130°