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2 years ago

8 times the difference between b and 4 in a variable expression

Mathematics

2 answers:

Zinaida [17]2 years ago

6 0

Answer:

8( b - 4 )

Step-by-step explanation:

8 x ( b - 4 )

8( b - 4 )

I hope this helps!

Mashcka [7]2 years ago

3 0

8(b-4)

Hope this helps a ton

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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

claret purchased 2 handbags and a wallet the cost of each handbag was $10 more then the wallet if she spent a total of $60 for t

faust18 [17]

The cost of the two bags is 25

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3 years ago

Find the slope and y-intercept for the table. slope: y-intercept:

Volgvan

Answer: 5 y=5

x=3

Step-by-step explanation:

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3 years ago

2) The cost of renting a boat for one or more

ivann1987 [24]

Answer: 3f

Step-by-step explanation:

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3 years ago

The sum of two consecutive odd integers is 236. What is the smaller integer?

Kryger [21]

HEY there,

236/2=117

117 enn odd number

117+117=236

1,3,7 are odd number so

hope this helped you

Plz mark brainliest if you want (;

5 0

3 years ago

Read 2 more answers