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3 years ago

13

What is the slope of the line that passes through the points (-4,8) and (-14.8)?

1 answer:

iris [78.8K]3 years ago

3 0

Answer:0

Step-by-step explanation:

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Will give brainliest if it is right

nikitadnepr [17]

Answer:

-4,5 / 5,3 . . .. ........

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2 years ago

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Ron earned $95 in interest for leaving $1,000 in an account for 3 years. What was his rate? Round to the nearest hundredth (2 de

taurus [48]

Answer:

x=0.0307

Step-by-step explanation:

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2 years ago

Evaluate ( c + d ) 3 C=3 d=4

Contact [7]

Answer:

The answer is 21

Step-by-step explanation: You substitue 3 for C and 4 for D and craete the equation $(3+4)3$ so you add 3+4=7 and you get $(7)3$ which is 7 times 3 =21

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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

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

$1000 = 300e^{24r}$

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

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

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

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

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

$r = 0.05$

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

2 years ago

The product of two consecutive even positive integers is one hundred twenty. fined the integers

AfilCa [17]

Product is multiplication:

x * (x+2) = 201

x^2 +2x = 120

x^2 + 2x -120 = 0

(x+12) (x-10) = 0

x = -12 and x = 10

-12 x -1 = 12

the 2 numbers are 10 and 12

3 0

3 years ago