19539 bacteria will be present after 18 hours
<u>Solution:</u>
Initial value of bacteria N = 6000
Value after 4 hours
= 7800
<em><u>The standard exponential equation is given as:</u></em>

where
N is amount after time t
No is the initial amount
k is the constant rate of growth
t is time
Plugging in the values in formula we get,

Solving for "k" we get,

Taking "ln" on both sides, we get


On solving for ln, we get k = -0.0656
The equation becomes, 
Now put "t" = 18,

Hence the bacteria present after 18 hours is 19539
567,433 rounded to the nearest hundred thousandth is 600,000.
Answer:
0.1606 = 16.06% probability that the number of births in any given minute is exactly five.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given interval.
In this question:
We only have the mean during an interval, and this is why we use the Poisson distribution.
The mean number of births per minute in a given country in a recent year was about 6.
This means that 
Find the probability that the number of births in any given minute is exactly five.
This is P(X = 5). So

0.1606 = 16.06% probability that the number of births in any given minute is exactly five.
I think it must be the right triangle so
x=height of the antenna
tan(66)=x/50
x=50*tan(66)
x=1.33 ft
->the height of the antenna = 1.33 ft
hope it is the correct answer because you didn't provided me enough information.
Answer:
36 cm
Step-by-step explanation:
The formula to find the area of a triangle is A=1/2bh where b stands for base and h for height.
So, 8 times 9 equals 72, and 72 divided by 2 is 36.