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zepelin [54]
3 years ago
7

HELP PLEASE! WILL GIVE BRAINLIEST TO THE BEST ANSWER!

Mathematics
1 answer:
RSB [31]3 years ago
7 0
A:7 hope with helps :)
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A bird species in danger of extinction has a population that is decreasing exponentially (A = A0e^kt). Five years ago, the popul
Natalija [7]

Answer:

It'll take approximately 34 years from today.

Step-by-step explanation:

in order to solve this problem we first need to find the rate of change, "k", to do that we will use the given information where the population was 1400 five years ago and its now 1000. Applying this data to the equation gives us:

A = A_0*e^{k*t}\\1000 = 1400*e^{5*k}\\1400*e^{5*k} = 1000\\e^{5*k} = \frac{1000}{1400}\\ln(e^{5*k}) = ln(\frac{1000}{1400})\\5*k = ln(1000) - ln(1400) \\k = \frac{ln(1000) - ln(1400)}{5} = -0.06729

We now know the value for "k", we can estimate how many years it will take for the bird population to dip below 100. We have:

100 = 1000*e^{-0.06729*t}\\e^{-0.06729*t} = \frac{100}{1000}\\ln(e^{-0.06729*t} = \frac{1}{10}\\-0.06729*t = ln(0.1)\\t = -\frac{ln(0.1)}{0.06729} = 34.22

It'll take approximately 34 years from today.

8 0
4 years ago
Find an equation for the line with slope m=4/7 and which goes through the point (21,-7)
Paul [167]

Answer:

y=4/7x-19

Step-by-step explanation:

So the equation is :

y-y^{1}=m(x-x^{1})

m= slope

y+7=4/7(x-21)

y=4/7x-19

HOPE I helped :D

7 0
3 years ago
What is the answer to this
Aleksandr [31]

Answer:

4.5

Step-by-step explanation:

Use the distance formula to get sqrt(2^2+4^2) or sqrt20, which is 2sqrt5. sqrt5 is approximately 2.236, so 2*2.236 is 4.472 or 4.5.

7 0
3 years ago
Brianna loves to compete in triathlons. At a race a few months ago, she finished in 360 minutes. At a race yesterday, she took 3
QveST [7]

Answer:

468 minutes

Step-by-step explanation:

Given data

At a race a few months ago, she finished in 360 minutes

let us find 30% of 360 minutes

=30/100*360

=0.3*360

=108 minutes

Hence she finished with an added time of 108minutes

Therefore, in all she finished in

=108+360

=468 minutes

4 0
3 years ago
Joe has a bag of 3,456 jelly beans. He wants to share the jelly beans equally among himself and his 5 friends. How many jelly be
mixer [17]
Answer: 576 jellybeans

Explanation: including Joe, there are 6 people he has so share jellybeans with. so we divide 3456/6 because he has to share 3456 jellybeans with 6 friends equally. and that equals 576.

hope this helps!
7 0
4 years ago
Read 2 more answers
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