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3 years ago

10

The pet store had 2 puppies to feed using 1/3 of a bag of puppy chow. If each puppy needs an equal amount, how much food should

they receive? i need this asap if its not to much to ask. im using my last 10 points.

1 answer:

kogti [31]3 years ago

7 0

The puppies will receive 1/6 of a bag each

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Suppose that the population P(t) of a country satisfies the differential equation dP/dt = kP (600 - P) with k constant. Its pop

jeka94

Answer:

The country's population for the year 2030 is 368.8 million.

Step-by-step explanation:

The differential equation is:

$\frac{dP}{dt}=kP(600 - P)\\\frac{dP}{P(600 - P)} =kdt$

Integrate the differential equation to determine the equation of P in terms of <em>t</em> as follows:

$\int\limits {\frac{1}{P(600-P)} } \, dP =k\int\limits {1} \, dt \\(\frac{1}{600} )[(\int\limits {\frac{1}{P} } \, dP) - (\int\limits {\frac{}{600-P} } \, dP)]=k\int\limits {1} \, dt\\\ln P-\ln (600-P)=600kt+C\\\ln (\frac{P}{600-P} )=600kt+C\\\frac{P}{600-P} = Ce^{600kt}$

At <em>t</em> = 0 the value of <em>P</em> is 300 million.

Determine the value of constant C as follows:

$\frac{P}{600-P} = Ce^{600kt}\\\frac{300}{600-300}=Ce^{600\times0\times k}\\\frac{1}{300} =C\times1\\C=\frac{1}{300}$

It is provided that the population growth rate is 1 million per year.

Then for the year 1961, the population is: P (1) = 301

Then $\frac{dP}{dt}=1$ .

Determine <em>k</em> as follows:

$\frac{dP}{dt}=kP(600 - P)\\1=k\times300(600-300)\\k=\frac{1}{90000}$

For the year 2030, P (2030) = P (70).

Determine the value of P (70) as follows:

$\frac{P(70)}{600-P(70)} = \frac{1}{300} e^{\frac{600\times 70}{90000}}\\\frac{P(70)}{600-P(70)} =1.595\\P(70)=957-1.595P(70)\\2.595P(70)=957\\P(70)=368.786$

Thus, the country's population for the year 2030 is 368.8 million.

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3 years ago

The quotient of twice a number and 7 is 20

andreev551 [17]

Answer:X=70

Step-by-step explanation:

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3 years ago

Mario started his homework at 3:30 he finished 25 minutes later what time did he finish his homework

Katarina [22]

Answer:3.55

Step-by-step explanation:

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2 years ago

32is 0.2% of what number? Use pencil and paper. Would you expect the answer to be a lot less than 32, slightly less than , s

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Answer:

A lot greater

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32 is 0.2% of the number, that is a small amount compared to what the whole is

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3 years ago

Linear Equations & Linear Systems:

Andrew [12]

Answer:

( -3,-1)

Step-by-step explanation:

they are in the same quadrant but both of these points intersect at -3 giving this answer to be -3,-1 can't be zero only because your point in no smack donw on the x-axis.

im sorry if it's wrong just trying to be helpful but i doubt it is.

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3 years ago

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