Ask question

Ask question

All categories

3 years ago

8

Hillo help pls :) take as much time as needed but as soon as possible :D

1 answer:

qwelly [4]3 years ago

5 0

Answer:

hi what garde are you in and what school are you at pls tell me and i will solve it

Step-by-step explanation:

here isthe answer it sd

You might be interested in

If x+12 is a factor of a polynomial, what would it tell you about the polynomial

telo118 [61]

Answer:

That is has root -12 meaning if you replace x with -12 you get 0.

5 0

3 years ago

Read 2 more answers

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

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

$1000 = 300e^{24r}$

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

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

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

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

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

$r = 0.05$

So

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

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.

7 0

3 years ago

On the first swing, a pendulum swings through an arc of length 65 cm. On the successive swing, the length of the arc is 85% of t

photoshop1234 [79]

The Correct Answer Is B

3 0

4 years ago

Read 2 more answers

Convert 300 g into kilograms

babymother [125]

300 grams = 0.3 kilograms

6 0

3 years ago

Use the drop-down menus to choose steps in order to correctly solve 4k−6=−2k−16−2 please help just need steps

luda_lava [24]

4k-6=-2k-16-2
4k-6=-2k-18
6k-6=-18
6k=-12
k=-2

3 0

3 years ago