Answer:
245.10
Step-by-step explanation:
You have to multiply $6.45 by 38
A bacteria culture starts with 500 bacteria and doubles in size every half hour.1
(a) How many bacteria are there after 3 hours?
We are told “. . . doubles in size every half hour.” Let’s make a table of the time and population:
t 0 0.5 1.0 1.5 2.0 2.5 3.0
bacteria 500 1000 2000 4000 8000 16000 32000
Thus, after three hours, the population of bacteria is 32,000.
(b) How many bacteria are there after t hours?
In t hours, there are 2t doubling periods. (For example, after 4 hours, the population has doubled 8
times.) The initial value is 500, so the population P at time t is given by
P(t) = 500 · 2
2t
Answer:
x squared over 4 plus and squared over 8 equals 1, x^2/4 + y^2/8 = 1
Step-by-step explanation:
We have that the general ellipse equation is as follows:
x^2/a^2 + y^2/b^2 = 1
Furthermore, the foci is (0, c) and b> a we have to:
c ^ 2 = b ^ 2 - a ^ 2
However,
guideline x = + - b / e and foci (0, + - ab)
where is e is the eccentricity, therefore:
b / e = 4, then e = b / 4
and we also have b * e = 2, we replace:
b * (b / 4) = 2
b ^ 2 = 8
replacing:
2 ^ 2 = 8 - a ^ 2
a ^ 2 = 8 - 2 ^ 2
a ^ 2 = 8 - 4
a ^ 2 = 4
Therefore if we replace in the general equation it would be
x^2/4 + y^2/8 = 1
that is, x squared over 4 plus and squared over 8 equals 1
