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2 years ago

PLEASE HELPPPPPPPP MEEEEEEEEEE

Mathematics

1 answer:

kykrilka [37]2 years ago

7 0

Answer:

The Red set is greater than the other set because most of the date is clumped to the right and most data sets have the numbers go from smallest to greatest so Yes, the data sets are significantly greater than the other data set.

Step-by-step explanation:

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Divide and answer in simpilist form: 1/2 ÷4

sergeinik [125]

Answer:

1/8

Step-by-step explanation:

1/2 ÷4

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1/2 * 1/4

1/8

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3 years ago

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During optimal conditions, the rate of change of the population of a certain organism is proportional to the population at time

Lana71 [14]

Answer:

The population is of 500 after 10.22 hours.

Step-by-step explanation:

The rate of change of the population of a certain organism is proportional to the population at time t, in hours.

This means that the population can be modeled by the following differential equation:

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

In which r is the growth rate.

Solving by separation of variables, then integrating both sides, we have that:

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

$\int \frac{dP}{P} = \int r dt$

$\ln{P} = rt + K$

Applying the exponential to both sides:

$P(t) = Ke^{rt}$

In which K is the initial population.

At time t = 0 hours, the population is 300.

This means that K = 300. So

$P(t) = 300e^{rt}$

At time t = 24 hours, the population is 1000.

This means that P(24) = 1000. We use this to find the growth rate. So

$P(t) = 300e^{rt}$

$1000 = 300e^{24r}$

$e^{24r} = \frac{1000}{300}$

$e^{24r} = \frac{10}{3}$

$\ln{e^{24r}} = \ln{\frac{10}{3}}$

$24r = \ln{\frac{10}{3}}$

$r = \frac{\ln{\frac{10}{3}}}{24}$

$r = 0.05$

$P(t) = 300e^{0.05t}$

At what time t is the population 500?

This is t for which P(t) = 500. So

$P(t) = 300e^{0.05t}$

$500 = 300e^{0.05t}$

$e^{0.05t} = \frac{500}{300}$

$e^{0.05t} = \frac{5}{3}$

$\ln{e^{0.05t}} = \ln{\frac{5}{3}}$

$0.05t = \ln{\frac{5}{3}}$

$t = \frac{\ln{\frac{5}{3}}}{0.05}$

$t = 10.22$

The population is of 500 after 10.22 hours.

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3 years ago

WILL GIVE BRAILNLIESTThe oblique pyramid has a square base. An oblique pyramid has a square base with a base edge length of 2 ce

rusak2 [61]

Answer:

6 cm^3

Step-by-step explanation:

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3 years ago

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What is Quantum theory?

Mariana [72]

Answer:

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Step-by-step explanation:

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3 years ago

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sergey [27]

Answer:

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