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Elan Coil [88]
3 years ago
9

The world's largest hydroelectric power plant is 22.5 gigawatt (GW) three Gorges Dam in China. It produces about 90THe of electr

icity each year. If hydroelectric plant with the same capacity as three Gorges Dam was built in United States, calculate how many houses such a play would be able to provide the electric for in year. Show your work.
Advanced Placement (AP)
1 answer:
Ratling [72]3 years ago
8 0

Answer:

If the consumption is steady then it will supply 1.8million houses

Explanation:

The annual consumption in USA of average consumer is 12,994KW

Numbers of Homes to supply if USA build the same thing = 22500000000/12,994= 1731568homes

Approximately 1.8million homes in USA

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The equations of the tangent to the curve y=xsinx at the point (pi/2,pi/2) is
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The first thing you have to realize is that tangent is the slope of a curve on a given point. You can solve for the slope by finding the derivative of the given function. So:

\frac{d}{dx} xsin(x)

Next use product rule (I recommend watching videos if you're confused):

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Next substitute you x-value (π/2) into your derivative:

= [sin(  \frac{ \pi}{2} )] +[ \frac{\pi}{2}*cos( \frac{\pi}{2})]
= 1 +  \frac{\pi}{2} *0
= 1

So our slope at π/2 is 1. Next we use our slope-form and substitute our given value and solve for y-intercept (algebra-stuff) 

( \frac{\pi}{2}) =  1( \frac{\pi}{2}) + b
b = 0

So we get our equation:

y = x

So our answer is E

Feel free to ask any questions.
Hopes this helps!
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