Answer:
a) Q(t) = 89 + 12t
b) Q(3) = 125 millions of bacteria
Step-by-step explanation:
a)
to write a function of the growth of bacteria, we need to consider the initial population and add it to the new bacteria. Also we need to consider that the result of the function is in millions of bacteria, so when we get a result, we express it in millions.
Data
Initial population = 89 just add it to the function given 12t
Q(t) = 89 + 12t
b) Data time = 3 h
Q(3) = 89 + 12(3) substitution
Q(3) = 89 + 36 simplifying
Q(3) = 125 millions of bacteria
6. When one number is a multiple of the other number, that would make the first number the LCM. For example if your first number is 14 and the second number is 2, their first common multiple would be when 2 gets to 14.
2, 4, 6, 8, 10, 12, 14.
14 would be the first time the numbers are equal
5. The first thing to do to find out if 8 is a multiple of 56 is to divide 56 by 8 and see if it comes out to a whole number. 56/8=7
Since 7 is whole, 56 would be the LCM of 56 and 8.
8, 16, 24, 32, 42, 48, 56
Answer:
98°
Step-by-step explanation:
each half adds up to 180° so 103+28=131 then 180-131=49
and that would be just one of the bottom angles so you would double it to get 98
For this case by similarity of triangles we can use the following relationship:
(x) / (9) = (5) / (15)
We clear the value of x:
x = ((5) / (15)) * (9)
Rewriting:
x = (1/3) * (9)
x = 3
Answer:
The value of x for this case is:
x = 3
