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exis [7]
3 years ago
8

Wind farms are a source of renewable energy found around the world. The power P (in kilowatts) generated by a wind turbine varie

s directly as the cube of the wind speed v (in meters per second). If a turbine generates 700 kW in a 12 m/s wind, how much power does it generate in a 6 m/s wind?
(The formula for P as a power function of v is P = a ⋅ v3.


A. 88 kW

B. 175 kW

C. 125 kW

D. 1050 kW
Mathematics
1 answer:
kodGreya [7K]3 years ago
4 0

Answer:

New power = 88 Kw (Approx.)

Step-by-step explanation:

Given:

P = a(v³)

Old power p = 700 Kw

Old wind speed v = 12 m/s

Find:

New power when v = 6m/s

Computation:

P = a(v³)

700 = a(12³)

a = 0.4050 m²

New power = a(v³)

New power = (0.4050)(6³)

New power = 87.48

New power = 88 Kw (Approx.)

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For this question, it is reasonable to use the foil method. In order to use FOIL we need to understand what it stands for: 
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I-Inside
L-Last
(see attachment for visual) 
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(2x^2 + 3x - 6)(x -  1)
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<span><span><span><span><span><span><span>(<span>2x^2</span>)</span>(x)</span>+<span><span>(<span>2x^2</span>)</span><span>(−1)</span></span></span>+<span><span>(3x)</span>(x)</span></span>+<span><span>(3x)</span><span>(−1)</span></span></span>+<span><span>(−6)</span>(x)</span></span>+<span><span>(−6)</span><span>(−1)
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From here we combine like terms. Like terms are terms that contain the same variable and/or exponential value. For example: 
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It is best to put the like terms together in parentheses so that it is easier to combine them. 
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If you have an further questions, please do not hesitate to comment below! Have a nice day! :) 

8 0
4 years ago
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Help ASAP! image below.
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