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RoseWind [281]
3 years ago
15

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

Mathematics
1 answer:
nekit [7.7K]3 years ago
5 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.

However, the following is a general guide to solve the question.

An exponential function is represented as:

y = a(1 \pm r)^x

Where:

  • (a) represent the initial value i.e. the initial population of the Western Lowland Gorillas
  • (r) represents the rate at which the population increases or decreases.
  • (x) represents the number of years since 2022
  • (y) represents the population in x years

Given that the population of the Western Lowland Gorillas decreases, then the rate of the function would be 1 -r (i.e. an exponential decay)

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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(X-2)(x+1)

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Line AB contains (0, 4) and (1, 6) Line CD contains points (2, 10) and (−1, 4). Lines AB and CD are
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Answer  

Option (A) is correct .

Reason

The formula for the slope.

Slope = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}

As given

Line AB contains (0, 4) and (1, 6) .

put in the slope formula

Slope = \frac{6 - 4}{1 - 0}

Slope = \frac{2}{1}

Slope of the AB is 2.

As given

Line CD contains points (2, 10) and (−1, 4).

put in the slope formula

Slope = \frac{4 - 10}{-1 -2}

Slope = \frac{-6}{-3}

Slope = 2

Slope of the CD is 2.

As the slope of the  AB contains (0, 4) and (1, 6) Line CD contains points (2, 10) and (−1, 4) is 2 .

Therefore the option (A) is correct i.e the lines are parallel because the slopes are the same.

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3 years ago
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(05.02 LC)What is the area, in square inches, of the figure shown here? A parallelogram with a height of 4inches is shown. The h
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Answer:

36 in²

Step-by-step explanation:

The figure that is been described is a Parallelogram.

The area of a Parallelogram is = Base × Height

From the question, the Height of the Parallelogram = 4 inches

The Base of the Parallelogram is calculated as the Length or base of the rectangle + base of the triangle

= 5 inches + 4 inches

= 9 inches

Area of the Parallelogram = 9 inches × 4 inches

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Which statement is true about the extreme value of the given quadratic equation.
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The complete question is

"which statement is true about the extreme value the given quadratic equation? y = -3x^2 + 12x - 33

Oa. The equation has a maximum value with a y coordinate of -27

Ob. The equation has a minimum value with a y coordinate of -21

Oc. the equation has a minimum value with a y coordinate of -27

Od. The equation has a maximum value with a y coordinate of -21​"

The quadratic equation has the extreme value at the vertex with a y-coordinate of -21. so, the correct option is D.

<h3>What is a quadratic equation?</h3>

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

The given quadratic equation is

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x = -b/2a

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The extreme is the maximum for the given equation.

The correct choice is D.

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#SPJ1

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