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3 years ago

The equation y = 5.5x represents a proportional relationship. What is the constant of proportionality?

1 answer:

7 0

C.5.5
The constant rate of change (m)is the same as constant of proportionality so y=Mx+b rate of change would be m. In this case 5.5

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NISA [10]

Answer:

Below.

Step-by-step explanation:

(-3, 9) - Quadrant II.

(6, -6) - Quadrant IV.

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3 years ago

According to Lambert's law, the intensity of light from a single source on a flat surface at point P is given by Upper L equal

malfutka [58]

Answer:

(a) $L = k*(1 - sin^{2}(\theta))$

(b) L reaches its maximum value when θ = 0 because cos²(0) = 1

Step-by-step explanation:

Lambert's Law is given by:

$L = k*cos^{2}(\theta)$ (1)

(a) We can rewrite the above equation in terms of sine function using the following trigonometric identity:

$cos^{2}(\theta) + sin^{2}(\theta) = 1$

$cos^{2}(\theta) = 1 - sin^{2}(\theta)$ (2)

By entering equation (2) into equation (1) we have the equation in terms of the sine function:

$L = k*(1 - sin^{2}(\theta))$

(b) When θ = 0, we have:

$L = k*cos^{2}(\theta) = k*cos^{2}(0) = k$

We know that cos(θ) is a trigonometric function, between 1 and -1 and reaches its maximun values at nπ, when n = 0,1,2,3...

Hence, L reaches its maximum value when θ = 0 because cos²(0) = 1.

I hope it helps you!

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(Step-by-step explanation:

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tatyana61 [14]

Answer:

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4 years ago

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