X = 3<br> y = 3<br> y=x<br> Ox=6<br>

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

irinina [24]

Answer: The equation is f(x) = $0.95^{x}$ ;

The piece of plastic has to have 10mm of thickness.

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:

0.95.0.95 = 0.9025 of light reach the visor

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

f(x) = $0.95^{x}$

in which:

f(x) is the intensity of light;

x is thickness in mm;

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

x ≈ 10

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

6 0

3 years ago

Read 2 more answers

The Cinemania theater showed 108108108 different movies last year. Of those, 151515 movies were action movies. Based on this dat

Ahat [919]

Answer:

Option B.

Step-by-step explanation:

It is given that,

Last year the total number of movies = 108

Number of action movies = 15

Based on this data, we need to find a reasonable estimate of the probability that the next movie is an action movie.

So, the required probability is:

$\text{Probability}=\dfrac{\text{Number of action movies}}{\text{Total number of movies}}$

$\text{Probability}=\dfrac{15}{108}$

Hence, the correct option is B.

7 0

3 years ago

Read 2 more answers

Cory just started his first job and does not have much money saved. Each month he needs to pay his rent and make payments on his

LenKa [72]

Given that Cory does not have much money saved he will be using her regular incomes to pay his rent and car, so the most appropiate bank account is a checking account.

That will let him to deposit his incomes and make the payments with checks.

It does not make sense opening an account that pays interests because the money will be spent promptly.

Answer: option a. checking account.

8 0

3 years ago

Show that the Second Derivative Test is inconclusive when applied to the following function at (0,0). Describe the behavior of

morpeh [17]

Answer:

See explanations for step by step procedure to answer

Step-by-step explanation:

Given that;

.f (x comma y )equals 8 x squared y minus 3 Confirm that the function f meets the conditions of the Second Derivative Test by finding f Subscript x Baseline (0 comma 0 ), f Subscript y Baseline (0 comma 0 ), and the second partial derivatives of f.

See attached documents for clearity, further explanations and answer

6 0

3 years ago

The measure of A is 75°, and the measure of B is 105°. What is the relationship of angles A and B?

Leni [432]

Answer:

D supplementary angles

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

X = 3 y = 3 y=x Ox=6 ￼

X = 3 y = 3 y=x Ox=6