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Anvisha [2.4K]
3 years ago
6

Miguel has 48 pieces of quartz. He wants to

Mathematics
1 answer:
jarptica [38.1K]3 years ago
6 0

Answer:

49

Step-by-step explanation:

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A plastic sun visor allows light to pass through but reduces the intensity of the light. the intensity is reduced by 5% if the p
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Answer: The equation is f(x) = 0.95^{x};

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Step-by-step explanation: It is known that with 1 mm of thickness, 5% of the intensity is reduced. So, 95% of the light is transmitted.

For each milimetre added, "more" 95% of light is transmitted.

For example, if another milimetre of plastic is added, another 0.95 of light is transmitted:

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So, the model that relate thickness of plastic and intensity of light is:

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in which:

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Using the equation, the thickness necessary to reduce intensity to 60% is:

f(x) = 0.95^{x}

0.6 = 0.95^{x}

log 0.6 = log 0.95^{x}

x. log (0.95) = log (0.6)

x = \frac{log 0.6}{log 0.95}

x = 9.95

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The thickness necessary to reduce intensity of light to 60% is 10mm.

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How many distinguishable a arrangements are there of the letters in "REPRESENTATION"?
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