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sp2606 [1]
4 years ago
6

When a bactericide is added to a nutrient broth in which bacteria are​ growing, the bacteria population continues to grow for a​

while, but then stops growing and begins to decline.
The size of the population at time t​ (hours) is b = 9^6 + 6^4t - 6^3t^2.
Find the growth rates at t = 0 hours, t = 3 hours, and t = 6 hours.
Mathematics
1 answer:
baherus [9]4 years ago
3 0

Answer:

a)  1296 bacteria per hour

b) 0 bacteria per hour

c) -1296 bacteria per hour

Step-by-step explanation:

We are given the following information in the question:

The size of the population at time t​ is given by:

b(t) = 9^6 + 6^4t-6^3t^2

We differentiate the given function.

Thus, the growth rate is given by:

\displaystyle\frac{db(t)}{dt} = \frac{d}{dt}(9^6 + 6^4t-6^3t^2)\\\\= 6^4-2(6^3)t

a) Growth rates at t = 0 hours

\displaystyle\frac{db(t)}{dt} \bigg|_{t=0}= 6^4-2(6^3)(0) = 1296\text{ bacteria per hour}

b) Growth rates at t = 3 hours

\displaystyle\frac{db(t)}{dt} \bigg|_{t=3}= 6^4-2(6^3)(3) = 0\text{ bacteria per hour}

c) Growth rates at t = 6 hours

\displaystyle\frac{db(t)}{dt} \bigg|_{t=6}= 6^4-2(6^3)(6) = -1296\text{ bacteria per hour}

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If she have $60 and only have $10 left that would me that the chocolate are $50

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3 years ago
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DiKsa [7]

Answer:

x = 3

y = 4  

hey, I am not 100% sure of the certainty of my answers, I am using what I remember about that topic but I do not know if it is right or wrong, I hope I have helped you, I did what I could.

Step-by-step explanation:

-3x + 2y = 23

5x + 2y = -17

X solution:

(you cancel the y)

-3x = 23

5x = -17

(you combine all the values above with those below)

2x = 6

(solve the ecuation normaly)

x = 6/2 = 3

Y solution:

(you replace the x)

-3(3) + 2y = 23

5(3) + 2y = -17

-9 + 2y = 23

15 + 2y = -17

(you combine all the values above with those below)

6 + 4y = 6

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4y = 0

y = 4  

(I do not really know if the answer here is 0 or 4 since when passing the 4 to divide it would be 0/4 and I do not understand very well how that is solved)

6 0
3 years ago
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Answer:

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13%

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Step-by-step explanation:

First write all of the amounts as a percent.

1/8 = 12.5%

13%

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Then you can order them from least to greatest.

10%, 12.5%, 13%, and then 19%

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So, Kelly's 1-minute work = 1 / 75

Now, we shall calculate Shandra's and Kelly's 1-minute work

By both 1 minute work = (1/45) + (1 / 75) = 8 / 225

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∴ Complete work (1) can be completed by both = 225 / 8 minutes

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