Answer: 1: parrallel
2:perpendicular
3; neither
4; perpendicular. 5: parrallel
Step-by-step explanation:
The prime factorization of 6000<span> = 2^4</span>•3•5^3.
<span>The prime factors of </span>6000<span> are 2, 3 and 5.</span>
Member Price = 30 + 3x
Non-member Price = 6x
x = the tickets they buy.
We want 30 + 3x = 6x
So, first we subtract 3x from each side and are left with:
30 = 3x
Then, divide each side by 3.
10 = x
So, the cost of 10 tickets is the same more non-members and members.
We can also check it:
Member Price: 30 + 3(10)
30 + 30 = 60
Non-member Price: 6(10)
60
This is the concept of exponential growth, To get the number of bacteria after 10 days we use the formula:
f(t)=ae^(kt)
where;
a=initial number=5000
k=constant of proportionality= 0.04
t=time=10 days
f(t)=future number
thus the number of bacteria in 10 days will be:
f(t)=5000e^(0.04*10)
f(t)=7,459.12
The answer is 7,459.12
