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MissTica
2 years ago
8

If A and B are positive integer and A∆B =A(A+2B) , what is the value of 2∆(4∆(1∆B)} ?​

SAT
1 answer:
Mariulka [41]2 years ago
3 0

If A ∆ B = A × (A + 2B) = A² + 2AB, then

• 1 ∆ B = 1 + 2B

• 4 ∆ (1 ∆ B) = 4 ∆ (1 + 2B) = 24 + 16B

• 2 ∆ (4 ∆ (1 ∆ B)) = 2 ∆ (24 + 16B) = 100 + 64B

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The projected population size in 2030 will be : ≈ 44159

First step : determine the population growth rate

Gr = change in population / time

    = ( 1500 - 1100 ) / 1 year

    = 400 = 36%

<h3>Determine the projected population size </h3>

applying Malthus's population projection.

Pp = P₁ ( 1 + r )ⁿ

where ; P₁ = 1500, r = 0.36 , n = ( 2030 - 2019 ) = 11 years

Pp = 1500 ( 1 + 0.36 )¹¹

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    = 44158.5  ≈ 44159

Hence we can conclude that the projected population size as at 2030 is 44159

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Introduction to Objectivist Epistemology pdf
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Objectivist Epistemology is a college of thinking that states the real world is independent of the individual conscious mind.

<h3>What is Objectivist Epistemology?</h3>

Objectivist Epistemology is a branch of epistemology aimed at understanding the real validity of natural phenomena beyond the human conscious mind.

Objectivist Epistemology and critical thinking are analyzed by Ayn Rand in the authored book 'Introduction to Objectivist Epistemology'.

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2 years ago
The image produced by an object is –10. 0 cm from a concave mirror that has a focal length of 5. 0 cm. The distance of the objec
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The distance of the object from the mirror is 3cm.

To calculate the distance of the object from the mirror, we make use of the mirror formula

<h3>Mirror formula</h3>
  • 1/f = (1/u)+(1/v)............ Equation 1

Where:

  • f = Focal length of the mirror
  • v = image distance
  • u = object distance.

Using the real is positive convention,

Given:

  • f = 5 cm
  • v = -10 cm

Substitute these values into equation 1 and solve for u

  • 1/5 = (-1/10)+(1/u)
  • 1/5+(1/10) = 1/u
  • 1/u = (2+1)/10
  • 1/u = 3/10
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Hence, The distance of the object from the mirror is 3cm.

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Which of the following requires the most education?
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