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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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Step-by-step explanation:

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Molly is raising cows. She has a pasture for them that is 0.65 square miles in area. One dimension of the pasture is 0.4 miles l
dem82 [27]

Answer:

The other dimension of the pasture (width) is 1.625\ mi

Step-by-step explanation:

In this problem I assume that the pasture has the shape of a rectangle.

Let

x -----> the length of the pasture

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we know that

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5 0
3 years ago
Write the following in standard form:<br> Write<br> A = 4<br> B = 2<br> C = 7
bonufazy [111]

Answer:

4x + 2y = 7

Step-by-step explanation:

The standard form equation goes as follows: Ax + By = C

We know what A, B, and C is so all we need to do is fill them in.

7 0
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snow_tiger [21]

Answer:

The x-coordinates are translated 6 units to the left or right while the y-coordinates are not affected.

Step-by-step explanation:

The given triangle has vertices at A(-4,1), B(-2,1) and C(-2,4)

The transformation rule for a horizontal translation by k units is

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In this case we have k=6

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Therefore the x-coordinates are translated 6 units to the left or right while the y-coordinates are not affected.

See attachment

4 0
3 years ago
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