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3 years ago

Help please x+y=6 and x-y=4 solve for X

Mathematics

1 answer:

fredd [130]3 years ago

6 0

X=5 y=1 this what i got when i worked it out on my paper. hope that helps.

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In 1859, 24 rabbits were released into the wild in Australia, where they had no natural predators. Their population grew exponen

Mashcka [7]

Answer:

a) P' = P

$P(t) = 24e^{0.693t}$ where t is step of 6 months

b) 7.7 years

c)1064.67 rabbits/year

Step-by-step explanation:

The differential equation describing the population growth is

$\frac{dP}{dt} = P$

Where t is the range of 6 months, or half of a year.

P(t) would have the form of

$P(t) = P_0e^{kt}$

where $P_0 = 24$ is the initial population

After 6 month (t = 1), the population is doubled to 48

$P(1) = 24e^k = 48$

$e^k = 2$

$k = ln(2) = 0.693$

Therefore $P(t) = 24e^{0.693t}$

where t is step of 6 months

b. We can solve for t to get how long it takes to get to a population of 1,000,000:

$24e^{0.693t} = 1000000$

$e^{0.693t} = 1000000 / 24 = 41667$

$0.693t = ln(41667) = 10.64$

$t = 10.64 / 0.693 = 15.35$

So it would take 15.35 * 0.5 = 7.7 years to reach 1000000

c. $P' = P_0ke^{kt}$

We need to resolve for k if t is in the range of 1 year. In half of a year (t = 0.5), the population is 48

$24e^{0.5k) = 48$

$0.5k = ln2 = 0.693$

$k = 1.386$

Therefore, $P' = 1.386*24e^{1.386t}$

At the mid of the 3rd year, where t = 2.5, we can calculate P'

$P' = 1.386*24e^{1.386*2.5} = 1064.67$ rabbits/year

4 0

2 years ago

Mariela recolecto 625 mililitros de agua que gotea de su caño en 10 minutos, ella desea saber ¿cuanta agua gastara en una semana

mario62 [17]

Answer:

En una semana gastará 705,6 litros.

Step-by-step explanation:

Con la información proporcionada, puedes calcular cuánta agua gastará por día usando una regla de tres teniendo en cuenta que un día tiene 24 horas y estas equivalen a 1440 minutos. Además, puedes convertir los 700 ml a litros, considerando que 1 litro son 1000 mL, lo que significa que los 700 mL equivalen a 700/1000=0,7 Litros.

10 min → 0,7 L

1440 min → x

x=(1440*0,7)/10

x=100,8 L

Ahora que conoces la cantidad de agua que gastará por día, puedes multiplicar esta cantidad por 7 que es el número de días en una semana:

100,8*7=705,6 L

De acuerdo a esto, la respuesta es que en una semana gastará 705,6 litros.

4 0

2 years ago

A perfect square ends with the same two digits. How many possible values of this digit are there?

Alex73 [517]

Answer:

A perfect square is a whole number that is the square of another whole number.

n*n = N

where n and N are whole numbers.

Now, "a perfect square ends with the same two digits".

This can be really trivial.

For example, if we take the number 10, and we square it, we will have:

10*10 = 100

The last two digits of 100 are zeros, so it ends with the same two digits.

Now, if now we take:

100*100 = 10,000

10,000 is also a perfect square, and the two last digits are zeros again.

So we can see a pattern here, we can go forever with this:

1,000^2 = 1,000,000

10,000^2 = 100,000,000

etc...

So we can find infinite perfect squares that end with the same two digits.

7 0

3 years ago

I know this problem is not too complicated but i wasnt sure if i was right

Grace [21]

Hi there!

So -5 1/2 + 7 3/4 is
Improper fraction: 9/4
Decimal: 2.25
Mixed Number: 2 1/4

8 0

3 years ago

Read 2 more answers

Can u guys tell me what 1/4 + 1/8 is cause im in a bind right now pls

Naily [24]

Answer:

3/8

Step-by-step explanation:

1/4 is equal to 2/8.

2/8 + 1/8 = 3/8

I would appreciate brainliest but if not that's ok!

3 0

2 years ago

Read 2 more answers