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noname [10]
3 years ago
14

Derek is watching a thunderstorm. He hears the thunder 4.7 s after seeing a flash of lightning. How far away was the lightning?

Mathematics
1 answer:
statuscvo [17]3 years ago
4 0

Answer:

1.0014 Miles

Step-by-step explanation:

The light travels at 186,291 miles per second (~300,000 km/s), and speed of sound in dry air is equal to 0.21 - 0.22 miles per second (0.33-0.35 km/s), as it varies with the temperature. We can notice the lightning almost immediately even though the storm is far from us, but the thunder needs around 5 seconds to travel one mile and approximately 3 seconds to travel one kilometer. Thanks to this seven orders of magnitude difference in sound and light propagation, we can easily estimate the storm distance

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The demand function for a product is modeled by p = 400 − 4x, 0 ≤ x ≤ 100, where p is the price per unit (in dollars) and x is t
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Δx / Δp  [Differentiating x w.r.t p]  = 0 - 1/4  → = -1/4

P ed =  <u>-1</u> x<u> p </u>

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= <u>-1</u> x <u> 4p </u>              = -p / (400-p)

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Price Elasticity of demand : only magnitude is considered, negative sign is ignored (due to negative price demand relationship as per law of demand).

So, Ped = p / (400 - p)

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Demand is inelastic when P.ed < 1

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