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Sergio [31]
3 years ago
9

Suppose that an insect population’s density, in thousands per acre, during year n, can be modeled by the recursive formula: a1 =

8 an = 2.9an – 1 – 0.2(an – 1)^2 Which of the following describes what is happening to the insect population for the first five years?
Mathematics
2 answers:
vlabodo [156]3 years ago
7 0

Answer:

The population alternates between increasing and decreasing

Step-by-step explanation:

<u><em>The options of the question are</em></u>

A) The population density decreases each year.

B) The population density increases each year.

C) The population density remains constant.

D) The population alternates between increasing and decreasing

we have

a_n=2.9(a_n_-_1)-0.2(a_n_-_1)^2

a_1=8

Find the value of a_2

For n=2

a_2=2.9(a_1)-0.2(a_1)^2

a_2=2.9(8)-0.2(8)^2=10.4

Find the value of a_3

For n=3

a_3=2.9(a_2)-0.2(a_2)^2

a_3=2.9(10.4)-0.2(10.4)^2=8.528

For n=4

a_4=2.9(a_3)-0.2(a_3)^2

a_4=2.9(8.528)-0.2(8.528)^2=10.1858

For n=5

a_5=2.9(a_4)-0.2(a_4)^2

a_5=2.9(10.1858)-0.2(10.1858)^2=8.7887

therefore

The population alternates between increasing and decreasing

lys-0071 [83]3 years ago
6 0

Answer:

D.) The population alternates between increasing and decreasing.

Step-by-step explanation:

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mary bought 12 puonds of blueberries to make 5 pies. She divided the blueberries evenly. How many pounds of blueberries were in
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Answer:

2.4 pounds of blueberries for each pie

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Working together, it takes two computers 20 minutes to send out a company's email. If it takes the slower computer 45 minutes to
11Alexandr11 [23.1K]

Answer:

36 minutes

Step-by-step explanation:

Let the productivity of slower computer is x bits/min

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Let the productivity of faster computer is y bits/min

That means that working together slower and faster computers send

x*20+y*20= company's  email or

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The stem-and-leaf plot shows kilometers walked by participants in a charity benefit walk. Use it to answer the questions. a. Des
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Answer / Explanation

The question is incomplete. It can be found in search engines:

However, kindly find the complete question below:

Question:

The stem and leaf plot shows kilometers walked by participants in a charity benefit walk. Use it to answer the question

12|3 3 6 7 9 9

13| 1 1 4 5 5

14| 0 0 2 3 3 8 8 9

15| 2 2 2 2 2 3 5 5 7

16| 4 5 5 9 9

17|3 5

(a) How many people participated in the walk? Exactly 35 people participated in the walk.

(b)How many of the walkers traveled more than 14 kilometers? About 16-22 people traveled more than 14 kilometers.

Answers:

(a) Exactly 35 people participated in the walk.

(b) About 16-22 people traveled more than 14 kilometers.

4 0
3 years ago
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