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3 years ago

EXERCISE 9.4Simplify, if possible:1. 2 x 2

Mathematics

1 answer:

iren [92.7K]3 years ago

4 0

2 × 2 = 4

●● + ●● = ●●●●

●● × ●● = ●●●●

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The light intensity I (in lumens) at a depth of x feet in Lake Elizabeth is given by the formula log (StartFraction Upper I Ove

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Answer:

The light intensity at a depth of 24 feet is 3.0143 lumens.

The light intensity will be 7 lumenus at the depth of 9.3732 feet approximately.

Step-by-step explanation:

Consider the provided formula.

$log(\frac{I}{12})=-0.025x$

Where I is the intensity of light and x is the depth.

Part (A) Find the light intensity at a depth of 24 feet.

Substitute x=24 in above formula.

$log(\frac{I}{12})=-0.025(24)$

$log(\frac{I}{12})=-0.6$

$\frac{I}{12}=10^{-0.6}$

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Hence, the light intensity at a depth of 24 feet is 3.0143 lumens.

Part (B) At what depth is the light intensity 7 lumens

Substitute I=7 in above formula.

$log(\frac{7}{12})=-0.025x$

$-0.23433=-0.025x$

$0.23433=0.025x$

$x=\frac{0.23433}{0.025}$

$x=9.3732$

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3 years ago

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3 years ago

EXERCISE 9.4Simplify, if possible:1. 2 x 2​

EXERCISE 9.4Simplify, if possible:1. 2 x 2