Answer: option d
Step-by-step explanation:
Remember the identity:

The inverse of the tangent function is arctangent. You need to use this to calculate the angle "S":
Knowing that: you need to find the measure of the angle "S" ,
(which is the adjacent side) and
(which is the opposite side), you can sustitute values into 
Then, you get that the measure of "S" rounded to the nearest tenth is:

Answer:
Blackberries= 30
Rasberries=30
Blueberries=60
Step-by-step explanation:
10 x 3 = 30 blackberries
Black berries is the same amount as rasberries
30 x 2= 60 blueberries
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>