Apopulation is originally 100 individuals, but because of the combined effects of birth and deaths, it tiples each hour.

a. make a table of the population size for t-0 to 5, where t is measured in hours.

b. give two equations modeling the population growth by first expressing p[t+1] in terms of pt] and then expressing ap in terms of plt)

c. what, if anything, can you say about the birth and death rates for this population?

Step-by-step explanation:

Given that a population  is originally 100 individuals, but because of the combined effects of birth and deaths, it tiples each hour.

a)  

tP(t)

0100

1300

2900

32700

48100

524300

672900

7218700

8656100

91968300

105904900

b) P(t+1) = 3 P(t)

Generally these form a GP

Hence

c) Since population is tripling we say death rate is very small compared to birth rate such that births-deaths = 3 times the existing population.

shift 4 units up, and 1 unit left.

it will translate f(x) = 3^x to g(x) = 3^(x+1) + 4

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180