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Schach [20]
3 years ago
6

I need help on this ASAP. It is due in less than 20 minutes so please help! Thanks.

Mathematics
1 answer:
Marta_Voda [28]3 years ago
6 0
Domain {5,6,7,8,9,10}
Range{3,4,5,6,7,8}
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Use demovires theorem to write the complex number in trigonometric form.
Anastasy [175]
\sqrt3+i=2\left(\dfrac{\sqrt3}2+\dfrac12i\right)

\begin{cases}\cos\dfrac\pi6=\dfrac{\sqrt3}2\\\\\sin\dfrac\pi6=\dfrac12\end{cases}

\implies\sqrt3+i=2e^{i\pi/6}

By DeMoivre's theorem,

(\sqrt3+i)^3=(2e^{i\pi/6})^3=8e^{i\pi/2}=8\left(\cos\dfrac\pi2+i\sin\dfrac\pi2\right)=8i
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Footware manufacturing is projected to decrease output by 8.4% from 2006 to 2016. If footware manufacturing had 1.8 billion doll
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5,832, _, 648, 216, 72, _,8
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Solve unit rate problems- what name should be in the correct blank spot?
sleet_krkn [62]
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3 years ago
Maggie is standing on a platform that is 8 feet above the ground. She throws a ball in the air that hits the ground after 2 seco
Paha777 [63]

The equation that offers the best approximation to this result is: h = -16\cdot t^{2}+28\cdot t + 8. (Choice D)

<h3>How to find the free fall formula for a given scenario</h3>

An object experiments a free fall when it is solely accelerated by gravity on the assumption of an <em>uniform</em> acceleration. The formula is described below:

h =h_{o} + v_{o}\cdot t + \frac{1}{2}\cdot g\cdot t^{2} (1)

Where:

  • h_{o} - Initial height, in feet.
  • v_{o} - Initial speed, in feet per second.
  • t - Time, in seconds.
  • g - Gravitational acceleration, in feet per square second.

If we know that t = 2\,s, h_{o} = 8\,ft, h = 0\,ft, g = -32.174\,\frac{ft}{s^{2}}, then the height formula is:

0 = 8 +2\cdot v_{o} - \frac{1}{2}\cdot (32.174)\cdot (2)^{2}

0 = -56.348+2\cdot v_{o}

v_{o} = 28.174\,\frac{ft}{s}

The equation that offers the best approximation to this result is: h = -16\cdot t^{2}+28\cdot t + 8. (Choice D)

To learn more on free fall, we kindly invite to check this verified question: brainly.com/question/13796105

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