Answer:
3.85 hours
Step-by-step explanation:
We have that the model equation in this case would be of the following type, being "and" the concentration of bacteria:
y = a * e ^ (b * t)
where a and b are constants and t is time.
We know that when the time is 0, we know that there are 100,000 bacteria, therefore:
100000 = a * e ^ (b * 0)
100000 = a * 1
a = 100000
they tell us that when the time is 2 hours, the amount doubles, that is:
200000 = a * e ^ (b * 2)
already knowing that a equals 100,000
e ^ (b * 2) = 2
b * 2 = ln 2
b = (ln 2) / 2
b = 0.3465
Having the value of the constants, we will calculate the value of the time when there are 380000, that is:
380000 = 100000 * (e ^ 0.3465 * t)
3.8 = e ^ 0.3465 * t
ln 3.8 = 0.3465 * t
t = 1.335 / 0.3465
t = 3.85
That is to say that in order to reach this concentration 3.85 hours must pass
The equation would be: C = 5.5T, where C is the Cost and T is the number of tubes.
If you divide all of the outputs by the inputs, you will get 5.5. That means it's a proportional relationship. Just multiply the number of tubes by 5.5 and you will have your cost.
<h3>
Answer:</h3>
The mean age decreased.
<h3>
Step-by-step explanation:</h3>
I find it convenient to look at the additions with respect to the current mean age.
The current total age is 14×34. We have added members with ages (34 -10) and (34 +2), so the new total age is ...
... (34×14) + (34 -10) + (34 +2) = (16×34) - 8
Dividing this total by 16 will give the new mean age. (We already know it is less than 34.)
... ((16×34) -8)/16 = 34 - 1/2 = 33 1/2 . . . new mean age; a decrease
Answer:
50%,5%. Red, Green
Step-by-step explanation:
30/60=1/2=50%
3/60=1/20=5%
red has the highest number
green has the lowest
Answer:
155 Units
Step-by-step explanation:
Rate of Bug (given) = 11 units PER MINUTE
It never changed direction, so it was going in positive direction (assume).
In 7:15 pm (evening), it was at Point 100,
We want the point at which it was at 7:20 pm.
7:20pm - 7:15pm = 5 minutes
So, time passed 5 minutes. It's rate is 11 units PER MINUTE, so in 5 mins:
11 * 5 = 55 units
<em>Assuming he is going in positive direction</em>, the bug will be at:
100 + 55 = <u>155 Units</u>
