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Order the fractions in ascending order:
{1/6,1/8,1/3}
={4/24,3/24,8/24}
=> in ascending order:
3/24,4/24,8/24
= 1/8, 1/6, 1/3
Question:
(a) How many bacteria would be found in 24 hours
(b) How many bacteria would be found in 2 days
(c) How long for 1000 bacteria to be found
Answer:
(a) 282429536481 bacteria
(b)
bacteria
(c) 6 days
Step-by-step explanation:
The question illustrates an exponential function

Where

--- i.e. triples

Solving (a): Bacteria in 24 hours
In this case:

Substitute
,
and 
So:



bacteria
Solving (b): Bacteria in 2 days

So:

Substitute
,
and 
So:


bacteria
Solving (c): How long for 1000 bacteria
In this case:

Substitute
,
and 
So:



Take Log of both sides

This gives:

Make x the subject


<em>Hence: It takes 6 days</em>
Two angles are supplementary if they add up to 180°.
?+ 30°= 180°
⇒ ?= 180° -30°
⇒ ?= 150°
The measurement of the second angle is 150°.
Use the function from part a to estimate the fox population in the year 2006.round to the nearest fox