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3 years ago

If it is 5 outside and the temperature will drop 17 in the next six hours, how cold will it get?

Mathematics

1 answer:

Lelechka [254]3 years ago

4 0

Answer:

Well in six hours it'll be -12

Step-by-step explanation:

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3 years ago

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Adele earns $194 every two weeks delivering. Newspapers she spends $30 of each paycheck and save the rest if she's paid 26 times

alexandr402 [8]

If u take out 30 from the 194 u get 164 every two weeks that mean u make 328 a month and if u save yr check and u get paid 26 times you'll save 8,528

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3 years ago

Matt wants to buy a pen that costs $2.35.

Troyanec [42]

Answer:

7.65

Step-by-step explanation:

10- 2.35= 7.65

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3 years ago

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

What is <img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D%20-7%3D%5Csqrt%7Bx%20-7" id="TexFormula1" title="\sqrt{x} -7=\sqrt{x -7

chubhunter [2.5K]

USE PHOTOMATH , it will solve it and show you how to do it , I use it for maths questions like this !!!!!!

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3 years ago