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kobusy [5.1K]
3 years ago
5

Which ordered pair will be the solution for the function y = 12 - x?

Mathematics
1 answer:
EastWind [94]3 years ago
7 0
The answer should be (6,6), you can plug 6 in for both x and y in order to solve the function.

y=12-x
(6)= 12 - (6)
6=6
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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
3 years ago
The youth group is going on a trip to the state fair. The trip costs $63. Included in that price is $13 for a concert ticket and
Pepsi [2]
Hey there!

63 =  13 + 2P  subtract 13 from both sides

50 = 2P          divide both sides by 2

25 = P 

So the cost of one pass = $25


Hope this helps!

7 0
3 years ago
20 POINTS!!!
Oxana [17]

Answer:

the highest it can go its 4,256

Step-by-step explanation:


4 0
3 years ago
Read 2 more answers
Find the 50th term of 6,12,18,24
Ilia_Sergeevich [38]

Answer:

300

Step-by-step explanation:

You simply multiply 50 and 6.  I hope you have a nice day.  :)

6 0
2 years ago
Read 2 more answers
I think it the third one but need a double check
makkiz [27]

Answer:

The first answer is correct.

Step-by-step explanation:

Line 5 says that the reason is due to substitution

Line 3 says m∠ SQT equals 180°

If we substitute 180° into the spot for m∠ SQT in line 4, we get solution option 1

8 0
3 years ago
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