Answer: Maria did not divide correctly
Step-by-step explanation:
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
Answer:
Step-by-step explanation:
probability of selecting a girl from students is 
probability of girl wearing sneaker from girls is 
or 
hence, probability of selecting a girl wearing a sneaker will be,
⇒ probability = probability of delecting a girl from students × probability of girl wearing sneakers from girls
⇒ probability = 
⇒ probability =
1. First, you must apply the formula
for calculate the sum of the interior angles of a regular polygon, which is
shown below:
(n-2) × 180°
"n" is the number of sides of the polygon (n=5).
2. Then, the sum of the interior angles of the pentagon, is:
(5-2)x180°=540°
3. The problem says that the measure of each of the other interior angles is equal to the sum of the measures of the two acute angles and now you know that the sum of all the angles is 540°, then, you have:
α+α+2α+2α+2α=540°
8α=540°
α=540°/8
α=67.5°
4. Finally, the larger angle is:
2α=2(67.5°)=135°
5. Therefore, the answer is: 135°
Answer:
Step-by-step explanation:
Given
Company Produces and sells 211600 boxes of T-shirt each year
Fixed cost =$ 400
Additional cost = $ 3 per box
storage cost =$ 2
let x be the no of production run
therefore
Holding cost per year 
yearly ordering cost
Total cost C(x)
differentiate C(x) w.r.t to x we get
Put 
to get max/min value
therefore 46 runs must be performed
