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4 years ago

654x67 Quien me ayuda please

Mathematics

2 answers:

Likurg_2 [28]4 years ago

3 0

The answer is 43,818

Firlakuza [10]4 years ago

3 0

Answer: 43818

Step-by-step explanation:

¡Esta es la respuesta, espero que haya ayudado!

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A bacteria culture starts with 400 bacteria and grows at a rate proportional to its size. After 4 hours, there are 9000 bacteria

Kaylis [27]

Answer:

A) The expression for the number of bacteria is $P(t) = 400e^{0.7783t}$ .

B) After 5 hours there will be 19593 bacteria.

C) After 5.55 hours the population of bacteria will reach 30000.

Step-by-step explanation:

A) Here we have a problem with differential equations. Recall that we can interpret the rate of change of a magnitude as its derivative. So, as the rate change proportionally to the size of the population, we have

$P' = kP$

where $P$ stands for the population of bacteria.

Writing $P'$ as $\frac{dP}{dt}$ , we get

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

Notice that this is a separable equation, so

$\frac{dP}{P} = kdt$ .

Then, integrating in both sides of the equality:

$\int\frac{dP}{P} = \int kdt$ .

We have,

$\ln P = kt+C$ .

Now, taking exponential

$P(t) = Ce^{kt}$ .

The next step is to find the value for the constant $C$ . We do this using the initial condition $P(0)=400$ . Recall that this is the initial population of bacteria. So,

$400 = P(0) = Ce^{k0}=C$ .

Hence, the expression becomes

$P(t) = 400e^{kt}$ .

Now, we find the value for $k$ . We are going to use that $P(4)=9000$ . Notice that

$9000 = 400e^{k4}$ .

Then,

$\frac{90}{4} = e^{4k}$ .

Taking logarithm

$\ln\frac{90}{4} = 4k$ , so $\frac{1}{4}\ln\frac{90}{4} = k$ .

So, $k=0.7783788273$ , and approximating to the fourth decimal place we can take $k=0.7783$ . Hence,

$P(t) = 400e^{0.7783t}$ .

B) To find the number of bacteria after 5 hours, we only need to evaluate the expression we have obtained in the previous exercise:

$P(5) =400e^{0.7783*5} = 19593.723 \approx 19593$ .

C) In this case we want to do the reverse operation: we want to find the value of t such that

$30000 = 400e^{0.7783t}$ .

This expression is equivalent to

$75 = e^{0.7783t}$ .

Now, taking logarithm we have

$\ln 75 = 0.7783t$ .

Finally,

$t = \frac{\ln 75}{0.7783} \approx 5.55$ .

So, after 5.55 hours the population of bacteria will reach 30000.

6 0

4 years ago

I don’t know what to do

Scilla [17]

Answer:

its the last one ;)

Step-by-step explanation:

8 0

3 years ago

Assume a profitable economic well produces an average income of $23 million, while the average cost of a dry hole is $1.2 millio

bezimeni [28]

The most appropriate choice for revenue and profit will be given by-

Profit expected from a 100-well drilling program = $ $146.2$

What is revenue and profit?

Total income generated by sale of goods and service is called revenue.

If $p$ is the cost of producing one unit of a commodity and $q$ is the number of units of the commodity, then the product of $p$ and $q$ gives the revenue.

If the revenue obtained by selling a commodity is more than the cost, difference between revenue and cost gives the profit.

Here,

Number of economic wells = 11

An economic well produces an average income of $23

Revenue obtained = $ $$$ $(23 \times 11)$

Number of dry wells = $100 - 11$

= $89$

Average cost of a dry hole is $1.2 million

Cost of 89 dry holes = $ $$$ $(89 \times 1.2)$

= $ $106.8$

Profit = Revenue - cost

= $ $(253-106.8)$

= $ $146.2$

Profit expected from a 100-well drilling program = $ $146.2$

To learn more about revenue and profit, refer to the link:

brainly.com/question/25623677

#SPJ10

Complete Question

The diagram has been attached

Assume a profitable economic well produces an average income of $23 million, while the average cost of a dry hole is $1.2 million. How much profit can be expected from a 100-well drilling program?

7 0

1 year ago

What is the smallest prime factor of 11^7 +7^5?

abruzzese [7]

Answer:

3 is the smallest prime factor.

Step-by-step explanation:

ionk how to explain it but trust me its right.

5 0

2 years ago

Simplify the expression 2 (2 + 4y) + 3x.<br> PLS ANSWER ASAP DUE 9:20

Novay_Z [31]

Answer:

5x+8y

Step-by-step explanation:

We can first open the brackets by using the distrubitive propety.

2(x+4y)+3x

2x+8y+3x

Now we can combine like terms.

5x+8y.

I combined the 3x and the 2x. This works because imagined I have 3 of something then I got 2 more of that something I would now have 5 of that something.

Hoped this helped,

JoeLouis2

7 0

3 years ago