Answer:
The measure of arc x is 70°
Step-by-step explanation:
we know that
The measurement of the outer angle is the semi-difference of the arcs it encompasses.
and
The inscribed angle is half that of the arc it comprises.
so
The arc that comprises the inscribed angle of 15 degrees is equal to
15(2)=30 degrees
The outer angle of 20 degrees is equal to
20°=(1/2)[x-30°]
40°=[x-30°]
x=40°+30°=70°
Answer: The answer is 4. 7+(-3) is like 7 minus 3.
Step-by-step explanation:
Answer:
(a)Yes, it is an exponential function.
(b)
Step-by-step explanation:
(a)A population grows exponentially if it increases by a common ratio(called the growth ratio). We can see from the given information that the population of E.coli doubles every 20 minutes, therefore it is an exponential growth with a growth ratio of 2.
(b)The population, P(t) at any time t of an initial population,
with a growth ratio of r over a period k can be modeled using the function:

In this Case:
=200
Growth rate,r=2
Growth Period,k=20 minutes
Therefore, the equation that models the function is:
, t is in minutes
Answer:
C. 50.24 feet
Step-by-step explanation:
The formula for circumference is 2rπ (two times radius times pi)
2 * 8 * 3.14 = 50.24