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3 years ago

Find the distance between -6,5 and -3,1

Mathematics

1 answer:

Elenna [48]3 years ago

3 0

Answer:

11.7

Step-by-step explanation:

$\sqrt{(-6-5)^2(-3-1)^2 }\\$

=11.7

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I will give you extra point and mark you braniest if you give me an explanation on how to find the answer.

EastWind [94]

Answer:

Step-by-step explanation:

The surface area of a cylinder is 2pi *rh + 2pir^2, where r and h are radius and height, respectively. (If you want me to explain this, comment down below). Anyways, we can simply plug in 11 and 8 in the formula, so 2* 8*11*pi + 2* pi * 8^2=304pi. Thus, we do 304 * 3.14=954.56.

4 0

3 years ago

Read 2 more answers

To find average monthly income, multiply the net pay by the number of pay periods per year. Then divide this yearly income by 12

vladimir2022 [97]

True. To find average monthly income, multiply the net pay by the number of pay periods per year. Then, divide this yearly income by 12 months.

For example:
Daily wages:
Daily wages * 365 days = Total Wage
Total wage / 12 months = average monthly income

Weekly wages:
Weekly wages * 52 weeks = total wage
total wage / 12 months = average monthly income

4 0

3 years ago

The ratio of cake to cookies is 1:10. If there are 60 cookies, how many cakes are there?

sesenic [268]

Answer:

there are 6 cakes if there are 60 cookies

Step-by-step explanation:

1:10

60÷10=6

1:10 (multiply both sides by 6)

6:60 there are 6 cakes

3 0

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.

7 0

2 years ago

What is 46/200 as a decimal

barxatty [35]

Simple way of finding the decimal value : -

=> 46/200
Divide numerator and denominator by 2
=23/100
As 100 is in denominator, shift decimal by 2, i.e
= 0.23

Answer = 0.23

6 0

3 years ago