Answer:
23
Step-by-step explanation:
The amount of children's tickets is x, while the amount of adults' tickets is 2x
5.1*x- the amount of money from children
9.6*2x= 19.2x- the amount of money from adults
5.1x+19.2x= 558.9
x=23 - child tickets
Answer:

Step-by-step explanation:
The logistic equation is the following one:

In which P(t) is the size of the population after t years, K is the carrying capacity of the population, r is the decimal growth rate of the population and P(0) is the initial population of the lake.
In this problem, we have that:
Biologists stocked a lake with 80 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 2,000. This means that
.
The number of fish tripled in the first year. This means that
.
Using the equation for P(1), that is, P(t) when
, we find the value of r.









Applying ln to both sides.


This means that the expression for the size of the population after t years is:

That they are both the same
Answer:
3) 84°
Step-by-step explanation:
The angle formed by a chord and a tangent measures half of the intercepted arc.
m<A = (1/2)m(arc) = (1/2) * (168 deg) = 84 deg
C=24
b=8
a=?
a2=c2-b2
a2=(24)2-(8)2
a2=576-64
a2=512
take LCM
a=22.627.....