Answer:
She spent 4/6 of her free time.
Step-by-step explanation:
1/6 + 3/6 = 4/6
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>
Write the Theorem statement that needs to be proved, and state the givens.
Answer:
1st option
Step-by-step explanation:
Given y varies inversely as x then the equation relating them is
y =
← k is the constant of variation
To find k use (3, 8 ) , that is x = 3 when y = 8 , then
8 =
( multiply both sides by 3 )
24 = k
y =
← equation of variation