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Monica [59]
2 years ago
8

How do i do this i need it now

Mathematics
1 answer:
sveticcg [70]2 years ago
6 0

Answer:

what is the question??

i can answer if i had the question

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I'm studying a new bacteria that doubles in numbers every 25 minutes. If i start with 50 bacteria, how long until i have 5 milli
dimaraw [331]

Answer:

415.63 minutes

Step-by-step explanation:

Growth can be represented by the equation A=A_0e^{rt}. We can find the rate at which it grows by using t=25 minutes and \frac{A_{0}}{A} =2 or double the amount at that time. The first step we always take is to divide A_0 by A.

[tex]\frac{A_{0}}{A}=e^{rt}\\2=e^{r(25)}

2=e^{(25)r}

To solve for r, we will take the natural log of both sides and use log rules to isolate r.

ln 2=ln e^{(25)r}\\ln 2=25r (ln e)\\\frac{ln2}{25} =r

We know lne=1 so we were able to cancel it out and divide both sides by 25.

We solve with a calculator \frac{ln2}{25} =r\\0.0277=r

We change 0.0277 into a percent by multiplying by 100 to get 2.77% as the rate.

The equation is A=A_0e^{0.0277t} .

We repeat the step above substituting A=5,000,000, A_0=50, and r=0.02777. Then solve for t.

5000000=50e^{0.0277t}\\\frac{5000000}{50} =e^{0.0277t}\\100000=e^{0.0277t}\\ln100000=lne^{0.0277t}\\ln100000=0.02777t(lne)\\\frac{ln100000}{0.0277} =t

t=415.63 minutes

6 0
3 years ago
A club charges a rental of $400 per day for the dining hall and a fixed amount per guest for a meal. The graph shows the total c
Svetach [21]

if 10 guests come then that means there is 800...

4 0
2 years ago
A bag contains tiles with the letters p-r-o-b-a-b-i-l-i-t-y. tyler chooses a tile without looking and doesn’t replace it. he cho
egoroff_w [7]
Sample space = {p, r, o, b, a, b, i, l, I, t, y} = 11 possible outcomes
1sr event: drawing an I ( there are 2 I); P(1st I) = 2/11
2nd event drawing also an i: This is a conditional probability, since one I has already been selected the remaining number of I is now 1, but also the sample space from previously 11 outcome has now 10 outcomes (one letter selected and not replaced)
2nd event : P(also one I) = 1/10
P(selecting one I AND another I) is 2/11 x 1/10

P(selecting one I AND another I) =2/110 = 0.018
5 0
3 years ago
Express as a trinomial.<br> (2x+4)(x-1)
alex41 [277]
-2x^2+2x-4 is the answer
5 0
2 years ago
Read 2 more answers
Of the 50 finish that Alan caught from the lake 14 were trout the estimated population of the lake is 7500 fish about how many t
Rzqust [24]
In the example given, we see there are 14 trout out of 50 fish. This can be written as 14/50. You then make the bottom number equal 7500, and multiply the top number by the same amount to get the answer. In this case, 7500 ÷ 50 = 150. So then we just do 14 × 150 = 700, and 700 is your answer. Hope this helped!
8 0
3 years ago
Read 2 more answers
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