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3 years ago

Rectangle with length ( x + 3 ) and width 7

1 answer:

5 0

P = 2l + 2w
P = 2(x + 3) + 2(7)
P = 2(x) + 2(3) + 14
P = 2x + 6 + 14
P = 2x + 20

A = lw
A= 7(x + 3)
A = 7(x) + 7(3)
A = 7x + 21

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4 years ago

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3 years ago

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

antiseptic1488 [7]

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

Step-by-step explanation:

Consider the provided formula.

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

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Substitute x=24 in above formula.

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

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

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

$\frac{I}{12}=0.2512$

$I=3.0143$

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.

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

$-0.23433=-0.025x$

$0.23433=0.025x$

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

$x=9.3732$

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

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3 years ago