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3 years ago

(x 5 + y 5) divided by (x + y) PLEASE HELP ME!!!

Mathematics

1 answer:

snow_tiger [21]3 years ago

8 0

5 so (5) culculate the approximate value _16,90258

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Today is Leilas birthday. She is 5 years old. How old is leila in months

olga_2 [115]

Answer:

Step-by-step explanation:

There are 12 months in a year, so 5 years×12 months=60 months.

**You may wish to revise multiplication or the calendar year. I'm always happy to help

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2 years ago

Read 2 more answers

zlopas [31]

Answer:

Step-by-step explanation:

ΔABC & ΔADE are similar triangles

$\frac{AD}{AB}=\frac{DE}{BC}\\\\\frac{12}{4}=\frac{12}{x}\\$

Cross multiply,

12*x = 12*4

$x=12*\frac{4}{12}\\$

x = 1 * 4

x = 4

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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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2 years ago

The following pentagon, ABCDE is rotated about the origin 90 counterclockwise. Select the new coordinates of C and E after the

katrin2010 [14]

Answer:

its 10

Step-by-step explanation:

10 times 1 is 10

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2 years ago

Points A and B have opposite x-coordinates but the same y-coordinates.

n200080 [17]

Answer:

Step-by-step explanation:

start before a and count until you get to B

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3 years ago