Compare the fractions
2 answers:
When comparing these two fractions, notice that they have different denominators. Fractions that have different denominators are called unlike fractions. To compare unlike fractions, we first write them as like fractions by finding a common denominator. The common denominator for 7 and 6 is simply the least common multiple of 7 and 6 which is 42.
To get 42 in the denominator of the first fraction, multiply...
4 × 6 = 24
7 × 6 = 42
To get 42 in the denominator of the second fraction, multiply...
1 × 7 = 7
6 × 7 = 42
Now that we have our like fractions, we can compare them by looking at their numerators.
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The final result is: n = 45.
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The final result is: n = 81/2 or n = 40.5.
Answer:
(b), (d) and (e)
Step-by-step explanation:
Given
See attachment for
Required
Select true statements from the given options
(a) = days the bacteria reaches 30000
We have:
In this case:
and
So, we have:
Using a calculator, we have:
So:
The above equation is false.
(a) is not true
(b) The graph shows that
We have:
Let t = 3
So;
From the graph,
So:
Take natural logarithm of both sides
This gives:
(b) is true
(c) is the logarithm form of
We have:
Take natural logarithm of both sides
This gives:
(c) is false
(d) and
From the graph, we have:
--- rough readings
This implies that:
is true
Because
Take natural logarithm of both sides
Rewrite as:
We have:
Take natural logarithm of both sides
Substitute in
(d) is true
(e) The graph shows that
We have:
Let t = 2.3
So;
From the graph,
---- rough readings
So:
Take natural logarithm of both sides
This gives:
(e) is true
