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vitfil [10]
2 years ago
13

Write your answer as a fraction.

Mathematics
1 answer:
insens350 [35]2 years ago
5 0

Answer:3/8

Step-by-step explanation:

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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
Can anyone help me with this problem
antiseptic1488 [7]
Sure, fill in x as the numbers on the table, and the correct answer is A
7 0
3 years ago
Read 2 more answers
A piano has 88 keys. Fifty-two of the keys are white.
Tcecarenko [31]

Answer:

36

Step-by-step explanation:

88 - 52

=36

8 0
3 years ago
True or False: at a fundraising event $50 gift cards are awarded to each of 10 raffle winners. The total number of possibilities
DaniilM [7]
No, permutation is for finding out orders like how many ways can you arange the letters x,y,z the answer is 6, because xyz, xzy, yxz, yzx, zyx, zxy

permutations are a branch of probability
probability is (desired outcomes)/(total possible outcomes) or

10/total people registered
5 0
3 years ago
a coin is tossed. find the probability of the coin landing on heads. write your answer as a fraction, percent, and decimal
inysia [295]
Since there are only two sides (heads & tails) to a coin:
Probability (as fraction) - 1/2
Probability (as percent) - 1/2 x 100 = 50%
Probability (as decimal) - 1 x 50/2 x 50 = 50/100 = 0.5


(P.S. Please mark this answer as the brainliest answer... Thank You)
6 0
3 years ago
Read 2 more answers
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