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Nuetrik [128]
3 years ago
7

PLS HELP ME I really need help right now (15 points)

Mathematics
2 answers:
GrogVix [38]3 years ago
5 0
A - 50
b - 10
c - 40
d - 20
e - 70
Arlecino [84]3 years ago
3 0

Answer:

(a) - 50

(b) - 10

(c) - 40

(d) - 20

(e) - 70

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n many population growth problems, there is an upper limit beyond which the population cannot grow. Many scientists agree that t
givi [52]

Answer:

\frac{dP}{dt} = rP(1 - \frac{P}{K}) = 0.017P(1 - \frac{P}{16})

Step-by-step explanation:

The logistic function of population growth, that is, the solution of the differential equation is as follows:

P(t) = \frac{KP_{0}e^{rt}}{K + P_{0}(e^{rt} - 1)}

We use this equation to find the value of r.

In this problem, we have that:

K = 16, P_{0} = 2, P(50) = 4

So we find the value of r.

P(t) = \frac{KP_{0}e^{rt}}{K + P_{0}(e^{rt} - 1)}

4 = \frac{16*2e^{50r}}{16 + 2*(e^{50r} - 1)}

4 = \frac{32e^{50r}}{14 + 2e^{50r}}

56 + 8e^{50r} = 32e^{50r}}

24e^{50r} = 56

e^{50r} = 2.33

Applying ln to both sides of the equality

50r = 0.8459

r = 0.017

So

The differential equation is

\frac{dP}{dt} = rP(1 - \frac{P}{K}) = 0.017P(1 - \frac{P}{16})

3 0
3 years ago
What is the expanded form of the series represented below?
kirill [66]

Answer:

See below

Step.-by-step explanation:

Choice A  has first term  -3 and common difference 5. The formula for the kth term is -3 + (k - 1)5. It is an arithmetic series.

The required expanded form for the Sum is:

         5

S5 =  ∑  [-3 + (k - )5)]

       k = 1

5 0
3 years ago
Read 2 more answers
Please anwser this .........
Mnenie [13.5K]

Answer:

i believe its the second choice

Step-by-step explanation:

(-2,-6)

3 0
3 years ago
Read 2 more answers
In which set(s) of numbers would you find the number
kykrilka [37]

Answer:

I think the ans is real number

3 0
3 years ago
Here is a list of number 51 38 48 36 39 40 39 47 <br> Work out the range of the numbers in the list
ElenaW [278]

Answer:

15

Step-by-step explanation:

The range of a group of numbers is the highest number in the sequence minus the lowest number.

Which in this case was 51 - 36 = 15.

Hope this Helps!

:D

8 0
2 years ago
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