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2 years ago

Graph the line with the equation y=1/5x+4.

Mathematics

1 answer:

Artemon [7]2 years ago

4 0

Step-by-step explanation:

I hope this helps you answer your question and sorry if its wrong.

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A bacteria culture starts with 660 bacteria and grows at a rate proportional to its size. After 6 hours there will be 3960 bacte

scoray [572]

Answer:

a) $P(t) = 660 e^{\frac{ln(6)}{6} t}$

b) $P(t=3) = 660 e^{\frac{ln(6)}{6}*3} = 1616.663 \approx 1617$

Step-by-step explanation:

For this case we have the following info:

$P(0) = 660$ represent the initial amount of bacteria

$P(6) = 3960$ represent the population of bacteria after 6 hours

Part a

For this case we use the proportional model given by:

$\frac{dP}{dt}= kP$

Where P represent the population at time t and k is a constant of proportionality.

We can rewrite the model like this:

$\frac{dP}{P} = k dt$

And if we integrate both sides we got:

$ln |P|= kt + C$

Now if we apply exponential we got:

$P = e^{kt +c}= e^{kt} e^C$

$P(t)= P_o e^{kt}$

For this case using the initial condition:

$660 = P_o e^{0k}, P_o = 660$

We have the following model:

$P(t) = 660 e^{kt}$

Using the second condition $P(6) = 3960$ we have this:

$3960 = 660e^{6k}$

We can divide both sides by 660 and we got:

$6= e^{6k}$

Now we can apply natural log on both sides and we got:

$ln (6)= 6k$

$k = \frac{ln(6)}{6}=0.2986265782$

So then the model would be given by:

$P(t) = 660 e^{\frac{ln(6)}{6} t}$

Part b

For this case we just need to replace t=3 into the model and we got:

$P(t=3) = 660 e^{\frac{ln(6)}{6}*3} = 1616.663 \approx 1617$

4 0

2 years ago

Pls help it has something to do with probability and statistics

ludmilkaskok [199]

Answer:

Step-by-step explanation:

8*12=96

whenever you have to find the total # of something just multiply all the integers

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2 years ago

I PROMISE BRAINLIST 20 PTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Suppose you are building a brick border for a garden by stacking r

avanturin [10]

Answer:

2.5r D is the answer.

Step-by-step explanation:

It is 2.5 r because it makes the most sense for a real world situation like this.

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2 years ago

What do you think the answer is?

Katen [24]

Answer:

i think the answer is c

Step-by-step explanation:

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2 years ago

5.2 Lesson 16

adoni [48]

Answer:

The area of a rectangular vegetable garden is 200ft^2 . The width is 10 ft. What is the lenght of the vegetable garden?

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2 years ago