Answer:
25
Step-by-step explanation:
180-(21+73+51)=25
Given:
The graph of a line.
To find:
The equation of the line.
Solution:
From the given graph, it is clear that the line passes through the points (0,-2) and (-6,8). So, the equation of the line is:




Subtract 2 from both sides.

Therefore, the equation of the line is
.
6 - a =

(9a - 18)
First, simplify

to

/ Your problem should look like:
Second, multiply both sides by 3. / Your problem should look like:
Third, expand. / Your problem should look like:
Fourth, add 3a to both sides. / Your problem should look like:
Fifth, simplify 9a - 18 + 3a to 12a - 18. / Your problem should look like:
Sixth, add 18 to both sides. / Your problem should look like:
Seventh, add 18 + 18 to get 36. / Your problem should look like:
Eighth, divide both sides by 12. / Your problem should look like:
Ninth, since 3 goes into 12 to get 36, simplify

to 3. / Your problem should look like:
Tenth, switch sides. / Your problem should look like:

Answer:
a = 3 (one solution)
Based on the conditions given above, the number of bacteria at any time t (in hours) is calculated by the equation,
at = (a1)(2^t/2)
where a1 is the initial number of bacteria and at is the number at any time t. Substituting the givens,
a6 = (103)(2^6/2) = 824
Thus, there are 824 bacteria after 6 hours.