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3 years ago

(TIMED HELP) The population model describing the population of antelope in an area is:

Mathematics

1 answer:

Elena L [17]3 years ago

6 0

Answer:

Step-by-step explanation:

The population model describing the population of antelopes in the area is

Pn+1 = [1.75(Pn)^2/(Pn-1)] + 32 - Pn

where n represents the number of years.

In the first year, the number of antelopes is given as 89, to find the number of antelopes for the second year, it means we are looking for P(1+1) = P2. We will substitute 1 for n and 89 for Pn+1

It becomes

Pn+1 = [1.75(Pn)^2/(Pn-1)] + 32 - Pn

P2 = [1.75×89^2 / (89 - 1)] + (32 -89)

P2 = [13861.75 / 88] - 57

P2 = 101

To find P3, we will substitute 101 for Pn+1 and 2 for n. It becomes

P3 = [1.75×101^2 / (101 - 1)] + (32 -101)

P3 = [17851.75 / 100] - 69

P3 = 110

To find P4, we will substitute 110 for Pn+1 and 3 for n. It becomes

P4 = [1.75×110^2 / (110 - 1)] + (32 -110)

P4 = [21175 / 109] - 78

P4 = 116

To find P5, we will substitute 116 for Pn+1 and 4 for n. It becomes

P5 = [1.75×116^2 / (116 - 1)] + (32 -116)

P5 = [23548 / 115] - 84

P5 = 121

To find P6, we will substitute 121 for Pn+1 and 5 for n. It becomes

P6 = [1.75×121^2 / (121 - 1)] + (32 -121)

P6 = [25621.75 / 120] - 89

P6 = 125

To find P7, we will substitute 125 for Pn+1 and 6 for n. It becomes

P7 = [1.75×125^2 / (125 - 1)] + (32 -125)

P7 = [27343.75 / 124] - 93

P7 = 128

To find P8, we will substitute 128 for Pn+1 and 7 for n. It becomes

P8 = [1.75×128^2 / (128 - 1)] + (32 -128)

P8 = [28672 / 127] - 96

P8 = 130

To find P9, we will substitute 130 for Pn+1 and 7 for n. It becomes

P9 = [1.75×130^2 / (130 - 1)] + (32 -130)

P9 = [29575 / 129] - 98

P9 = 131

To find P10, we will substitute 131 for Pn+1 and 7 for n. It becomes

P10= [1.75×131^2 / (131 - 1)] + (32 -131)

P10= [30031.75 / 130] - 99

P10 = 132

The correct option is C

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Polygon CCC has an area of 404040 square units. K 2ennan drew a scaled version of Polygon CCC using a scale factor of \dfrac12 1

nikdorinn [45]

Answer:

Area of polygon D = 10 square units

Step-by-step explanation:

Given:

Polygon C has an area of 40 square units.

It is scaled with a scale factor of $\frac{1}2$ to form a new polygon D.

To find:

The area of polygon D = ?

Solution:

When any polygon is scaled to half, then all the sides of new polygon are half of the original polygon.

And the area becomes one-fourth of the original polygon.

Let us consider this by taking examples:

First of all, let us consider a right angled triangle with sides 6, 8 and 10 units.

Area of a right angled triangle is given by:

$A = \dfrac{1}{2} \times Base \times Height\\\Rightarrow A = \dfrac{1}{2} \times 6 \times 8 = 24\ sq\ units$

If scaled with a factor $\frac{1}{2}$ , the sides will be 3, 4 and 5.

New area, A':

$A' =\dfrac{1}{2} \times 3 \times 4 = 6\ sq\ units = \dfrac{1}4\times A$

i.e. Area becomes one fourth.

Let us consider a rectangle now.

Sides be 8 and 10 units.

Area of a rectangle, A = $Length \times Width$ = 8 $\times$ 10 = 80 sq units.

Now after scaling, the sides will be 4 and 5 units.

New Area, A' = 4 $\times$ 5 =20 sq units

So, $\bold{A' = \frac{1}4 \times A}$

Now, we can apply the same in the given question.

$\therefore$ Area of polygon D = $\bold{\frac{1}{4}}$ $\times$ Area of polygon C

Area of polygon D = $\bold{\frac{1}{4}}$ $\times$ 40 = 10 sq units

4 0

3 years ago

Elvis and $74 .50 a month.. how much does he earn to the nearest one penny.

sdas [7]

Answer:

Part A

12 months a year means

%74.5 x 12 = $894

Part B

4 weeks in a month means

$74.5 ÷ 4 = $18.625

But rounded to the nearest penny. . .

$18.62

because in the thousandths place was a 5 and you round up when there is a 5 or above

Part C

We will go with 31 days in a month, but I will also do 30 for you

$74.5 ÷ 30 = $2.48333

But rounded to the nearest penny. . .

$2.48

because you round down when there is anything less than a 4

$74.5 ÷ 31 = $2.40322580645

But rounded to the nearest penny. . .

$2.40

because you round down when there is anything less than a 4

3 0

3 years ago

Find the area of the circle to the nearest tenth. use 3.14 for pie

VikaD [51]

I assume that 4.4 is the diameter,please do correct me if i am wrong.

To get the area of the circle,the formula is 丌r^2

to find the radius,we need ro devide the diameter by 2

thus the equations is
$3.14 \times ({4.4 \div 2})^{2} \\ = 3.14 \times {2.2}^{2} \\ = 15.196 \\ = 15.2(correct \: to \: the \: nearest \: tenth)$
Therefore the answer is B.15.2

hope it helps!

3 0

3 years ago

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Use the number line to answer the question. Each tick represents 1 unit.

Yanka [14]

Answer and Step-by-step explanation:

Essentially, you are describing the position of point K using the location of the other points on the graph.

Let's start listing some descriptions:

K is:

3 more than H

2 more than J

3 less than L

4 less than M

7 less than N

12 less than P

Now look at the answer choices and compare it to what we wrote.

We see that the answer choices A, B, and D are incorrect (based on what we wrote), and that answer choice C is correct.

[C. 7 less than N] is the correct answer.

#teamtrees #PAW (Plant And Water)

I hope this helps!

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3 years ago

Can u help with these two

Artemon [7]

The volume of a rectangular prism can be given by the form
$V= b*h*w$

you know Volume, base, and height but you dont know width

so divide b and h to both sides
$\frac{V}{b*h} = w$
and you cna solve for width

now for 6.
dividing by a number is the same as multiplying by its reciprocal

$n \div 6 = n * \frac{1}{6}$

8 0

3 years ago

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