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stiv31 [10]
2 years ago
13

Which system of inequalities has no solution?

Mathematics
1 answer:
Luda [366]2 years ago
4 0

Answer:

i think c

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
I need help answer 6 through 7 I can't figure them out
seropon [69]
6. the answer is 4. because u find the diameter by dividing by 2. 
7. answer = 8 , the radius is 4 . so u need to multiply 2 times 4. 2 times 4 =8.
6 0
3 years ago
A triangle has side lengths of 13, 9, and 5. Is the triangle a right triangle? Explain.
valentina_108 [34]

Answer: This triangle is <u>not</u> a right triangle

Step-by-step explanation:

In a right triangle, the hypotenuse(c) is always the longest side and a and b are the shorter sides.  Thus, 5^2+9^2=13^2.  Simplify this to get 25+81=169, then 106=169.  Because 106 does <u>not</u> equal 169, it is not a right triangle.

<em>Hope it helps <3</em>

8 0
3 years ago
Read 2 more answers
Lable -4 1/2, 5.6, -2 3/8 and 1.35 from least to greatest
tiny-mole [99]
-4 1/2, -2 3/8, 1.35, 5.6
5 0
2 years ago
Which of the following equations has
Tju [1.3M]
The One With Inifinetely Many Solutions is D. 3x-5=-5+3x are both the same.Meaning that no matter Which Value u Put For X u will get the same Answer On Both Side
7 0
2 years ago
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