MATHEMATICS MIDDLE SCHOOL

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?

Answers

Answer 1

Answer:

Answer:

The population alternates between increasing and decreasing

Step-by-step explanation:

The options of the question are

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

Answer 2

Answer:

Answer:

D.) The population alternates between increasing and decreasing.

Step-by-step explanation:

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What is the more common name for an angle measurer?

Answers

Protractor you should get one at the start of a school year for algebra or normal mathematics.

A protractor is the same thing as an angle measurer, it will measure any angle of pretty much any shape

What is the measure of angle A in the triangle into your answer in the box

Answers

Answer:50

Step-by-step explanation:

180-70=(2x-10)+(x+30) 110=3x+20 90=3x x=30 2(30)-10=60-10=50

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29849 (3 sig. Fig )

Answers

3 sig fig means 3 significant figures. This means that only the first 3 digits in a number are above 0.
The first 3 digits in 29849 are 298 and, because 4 is less than 5, the 8 is not round up, and remains the same. The 4 and the 9, however, become 0.

The answer is 29800

Answer:

29800

Step-by-step explanation:

your welcome :)

90 is one tenth of what?