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
The answer is: 90 you can calculate this: 900/10=90
Answer: 
Step-by-step explanation:
Given
Population of dust particle doubles every 30 minutes
If the initial sample is 21 grams
The model to predict the population will be

Where t=time in hours
A day has 24 hours . So, for 2 days time is 48 hours
Population is given by
Answer:
b. x=10
x is greater than or equal to 8 so I believe that 10 is the best answer
Answer:
a. x = 7
b. x = 36/5
Step-by-step explanation:
<u>Points to remember</u>
The ratio of of corresponding sides of similar triangles are equal.
<u>a). To find the value of x</u>
From the figure 1 we get two similar triangles, ΔABC and ADE
We can write,
AB/AD = AC/AE
3/6 = x/(x + 7)
3(x + 7) = 6 * x
3x + 21 = 6x
6x - 3x = 21
3x = 21
x = 21/3 = 7
<u>b). To find the value of x</u>
From the figure b we get
ΔABC ~ ΔEDF
AB/DE = BC/DF
4/5 = x/9
x = (4 * 9)/5 = 36/5