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maria [59]
4 years ago
10

A 12-inch candle is lit and steadily burns until it is burned out. As the burned length of the candle increases from 4 to 7.5 in

ches, the remaining length of the candle varies from inches to inches. Suppose b represents the burned length of the candle in inches (or the number of inches that have burned from the candle since it was lit). Write an expression in terms of b that represents the remaining length of the candle (in inches).
Mathematics
1 answer:
MatroZZZ [7]4 years ago
8 0

Answer:

The remaining length of the candle varies from 8 inches to 4.5 inches.

The required expression is: r=12-b

Where, b represents the burned length and r represents the remaining length.

Step-by-step explanation:

Consider the provided information.  

A 12-inch candle is lit and steadily burns until it is burned out.

The length of the candle is 12 in.

The burned length of the candle is 4 in.

That means the remaining length is 12 - 4 = 8 in

The burned length of the candle is 7.5 in.

That means the remaining length is 12 - 7.5 = 4.5 in

Hence, the remaining length of the candle varies from 8 inches to 4.5 inches.

Suppose b represents the burned length of the candle in inches (or the number of inches that have burned from the candle since it was lit) and r represents the the remaining length of the candle (in inches).

The required expression is: r=12-b

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<h3>Explanation:</h3>

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===========================

\sf Geometric \ Sum \ of  \ Terms = \dfrac{a(r^n - 1)}{r-1}

===========================

Solving Steps:

<em />\rightarrow \sf \dfrac{a(r^n - 1)}{r-1}<em />

<em />

<em />\rightarrow \sf \dfrac{50(1.2^{44} - 1)}{1.2-1}<em />

<em />

<em />\rightarrow \sf 761679.5808<em />

<em />

\rightarrow \sf 761680 \ \ \  (rounded \ to \ nearest \ integer)

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