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Bess [88]
2 years ago
5

 Use what you've learned in this unit to model the population of Western

Mathematics
1 answer:
azamat2 years ago
4 0

The population function of the Western Lowland Gorillas can either represent population growth or population decay

<h3>How to model the population</h3>

The question is incomplete, as the resources to model the population of the Western Lowland Gorillas are not given.

So, I will give a general explanation to solve the question

A population function can be represented as:

y = a(1 \pm r)^x

Where:

  • The initial population of the Western Lowland Gorillas is represented by (a)
  • The rate at which the population changes is represented by (r)
  • The number of years since 2022 is represented by (x)
  • The population in x years is represented by (y)

From the question, we understand that the population of the Western Lowland Gorillas decreases.

This means that the rate of the function would be an exponential decay i.e. 1 -r

Take for instance:

y = 2000 * 0.98^x

By comparison.

a = 2000 and 1 - r = 0.98

The above function can be used to model the population of the Western Lowland Gorillas

Read more about exponential functions at:

brainly.com/question/26829092

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#1) Mrs. Ebanks planted two trees on a
uranmaximum [27]

Answer:

D = 12.94 m

Step-by-step explanation:

Coordinates of first tree = A(0,8)

Coordinates of second tree = A(12,4)

We need to find the distance between the two trees. We can find it using distance formula for coordinates as follows :

D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

We have, x₁ = 0, x₂ = 12, y₁ = 8, y₂ = 4

Now using distance formula,

D=\sqrt{(12-0)^2+(4-8)^2}\\\\=\sqrt{144+16} \\\\=12.64\ m

So, the distance between the two trees is 12.64 m.

8 0
3 years ago
Isabelle bought some stationery. 1/3 of them were pencils. 5/8 of the remainder were erasers and the rest were rulers. The cost
kobusy [5.1K]

Answer:

Isabelle spent $52.50 more on Erasers than rulers.

Step-by-step explanation:

Step 1

Find the quantity of each stationery bought in fraction

Let us represent the total fraction of what Isabelle bought as: x

1/3x = quantity of pencils bought

5/8 of the remainder = quantity of erasers bought

The remainder = x - 1/3x = 2/3x

5/8 of 2/3x = 5/8 × 2/3x = 5/12x

Hence, 5/12x = quantity of erasers bought

The rest is rulers

1 - (1/3 + 5/12)

1 - (4 + 5/12)

1 - 9/12

1 - 3/4

= 1/4x

Hence, 1/4 = quantity of rulers bought.

Step 2

We find the number of stationeries that Isabelle bought.

The cost of the stationery is

a Pencil: $1.20

an eraser: $1

a ruler: $0.50.

Total amount spent on stationery = 169.50

We have this equation

1.20 × 1/3x + 1 × 5/12x + 0.50 × 1/4x = 169.50

0.4x + 0.4166666667x + 0.125x =

169.50

0.9416666667x = 169.50

x = 169.50 /0.9416666667

x = 179.99999999

Approximately , the number of stationeries that Isabelle bought = x = 180

Step 3

Find the number and the amount spent on each stationery that Isabelle bought

a) i) Quantity of pencils bought = 1/3 x

x = 180

= 1/3 × 180

= 60 pencils

ii) Amount spent on pencils

If 1 pencil = $1.20

60 pencils =

60 × 1.20 = $72

b) i) Quantity of Erasers bought = 5/12x

x = 180

= 5/12 × 180

= 75 pencils

ii) Amount spent on Eraser

If 1 pencil = $1

75 pencils =

75 × 1 = $75

c) i) Quantity of rulers bought = 1/4 x

x = 180

= 1/4 × 180

= 45 pencils

ii) Amount spent on pencils

If 1 pencil = $0.50

45 pencils =

45 × 0.50 = $22.50

Step 4

We were asked to calculate how much more did she spend on erasers than rulers.

In step 3, the amount spent on Erasers = $75

the amount spent on ruler = $22.5

The difference in the amount spent = $75 - $22.5

= $52.5

Therefore, Isabelle spent $52.50 more on Erasers than rulers.

3 0
3 years ago
Evaluate 5a+3b and (5+a)(3+b) for a=2 and b=4. How is the order of the steps different for the two expressions?
Lynna [10]
5a+3b
5(2)+3(4)
10+12
22

(5+a)(3+b)
(5+2)(3+4)
(7)(7)
49

The order of the steps differ for the two expressions because for the first expression, you multiply 5a and 3b first. Then, you add them together. However, for the second expression, you add what's inside the parenthesis first then multiply them. So, the order of the steps is the opposite of the other expression. 
7 0
3 years ago
Please help with this one
tino4ka555 [31]

The answer will be A-1188 in²

3 0
3 years ago
Read 2 more answers
State the range of the relation {(1, -1), (2, 3), (3, 5), (4, 8)}.
DiKsa [7]
The range would be -1 to 8
8 0
4 years ago
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