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vagabundo [1.1K]
3 years ago
10

Number 5? I have no idea where to even start?

Mathematics
1 answer:
EleoNora [17]3 years ago
5 0
Y = 28000-(8500*3)
8500 is the yearly deprecation value times 3 because it is 3 years
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Which is equivalent to √3/√8 when denominator is "rationalized"?
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Step-by-step explanation:

\dfrac{\sqrt3}{\sqrt8}=\dfrac{\sqrt3\cdot\sqrt2}{\sqrt8\cdot\sqrt2}=\dfrac{\sqrt{3\cdot2}}{\sqrt{8\cdot2}}=\dfrac{\sqrt6}{\sqrt{16}}=\dfrac{\sqrt6}{4}

<h3>Used:</h3>

\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\ \text{for}\ a\geq0\ \wedge\ b\geq0\\\\\sqrt{a}=b\iff b^2=a\ \text{for}\ a\geq0\ \wedge\ b\geq0\\\\\sqrt{16}=4\ \text{because}\ 4^2=16

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On a piece of paper, graph this system of inequalities. Then determine which
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Answer:

B.Reigion D

Step-by-step explanation:

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3 years ago
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Find the equation of the line. HELPPPPP
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(4,-7) I’m sorry if you get it wrong hope it helpss
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Find the volume V of the described solid S. The base of S is the triangular region with vertices (0, 0), (3, 0), and (0, 3). Cro
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Answer:

27/2

Step-by-step explanation:

Given

Vertices (0, 0), (3, 0), and (0, 3)

Since the base of the equilateral in the plane perpendicular to the x-axis goes from the x-axis to the line y = 3 - x.

So, the length of each side of the triangle is (3-x)

Calculating the area;

Area = ½bh

Where b = base = 3 - x

height is calculated as;

h² = (3-x)² + (½(3-x))² --- from Pythagoras

h² = 9 - 6x + x² + (3/2 - ½x)²

Let h² = 0

0 = 9 - 6x + x² + (9/4 - 6/4x + ¼x²)

0 = 9 + 9/4 - 6x - 6/4 + x² + ¼x²

0 = 45/4 - 30x/4 + 5x²/4

0. = 5x²/4 - 30x/4 + 45/4

0 = 5x² - 15x/4 - 15x/4 + 45/4

0 = 5x(x/4-¾) - 15(x/4 - ¾)

0 = (5x - 15)(x/4 - ¾)

5x = 15 or x/4 = 3/4

x = 3 or x = 3

So, h = 3

Area = ½bh

Area = ½ * (3-x) * 3

Area = ½(9-3x)

Volume= Integral of ½(9-3x) {3,0}

V = 9/2 - 3x/2 {3,0}

V = 9x/2 - 3x²/4 {3,0}

V = 9(3)/2 - 3(3)²/4

V = 27/2 - 27/4

V = 27/2

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3 years ago
Evaluate A=1/2 bh, for b=8 and h=4
Pie

(1/2)(8)(4) = 16

A=16

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