1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Katyanochek1 [597]
3 years ago
10

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

lastic is 1mm thick each additional millimetre of thickness reduces the intensity by another 5%
Use an equation to model the relation between the thickness of the plastic and the intensity of light

How thick is a piece of plastic that reduced the intensity of light to 60%
Mathematics
2 answers:
irinina [24]3 years ago
6 0

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.

bagirrra123 [75]3 years ago
6 0
All you gotta do is search up the answer on google instead of brainy. O
You might be interested in
the function g(x) = 8x2 – 48x 65 written in vertex form is g(x) = 8(x – 3)2 – 7. what is the vertex of g(x)? (–3, –7) (3, –7) (2
Mrac [35]
G(x)=8(x-3)-7
The number in the parentheses has to be changed to positive 3.
You keep the number (-7) the same sign it already is. The vertex is (3,-7)
8 0
3 years ago
Read 2 more answers
Alicia earns more than 12 per hour at her job at the bookstore. Write an inequality to show the least amount of money Alicia wil
zhuklara [117]
T>12x. the total will be more than x multiplied by 12.
5 0
3 years ago
Which expression is the factored form of 2/3 x+4
scoundrel [369]
By expanding D it is clear that it is the factored form of 2/3x + 4

as 2/3x + 4 = 2/3x + 4*3/3

= 2/3x + (2*3)*(2/3). ( rearranging terms)

=2/3( x+ 2*3). ( taking 2*3 common)

=2/3( x + 6)


which is option D

hope it helped ^_^
5 0
3 years ago
If the function f is given by f(x)= 4x -3, find the value of f(2+h)
Travka [436]
  • f(x)=4x-3

\\ \sf\longmapsto f(2+h)

\\ \sf\longmapsto 4(2+h)-3

\\ \sf\longmapsto 4h+8-3

\\ \sf\longmapsto 4h+5

6 0
3 years ago
Please help and thank you
Mariana [72]

Answer:

B.    l = (S - πr^2) / πr

Step-by-step explanation:

S = πrl + πr^2 solve for l

πrl = S - πr^2

  l = (S - πr^2) / πr

Answer is B.    l = (S - πr^2) / πr

7 0
3 years ago
Read 2 more answers
Other questions:
  • Evaluate the function.<br> f(x)=-2x^2-7x+6<br><br> Find f(−3)
    11·1 answer
  • Which of the following are valid names for the given triangle? Check all that<br> apply.
    14·2 answers
  • Which expression has a value of 22? A. 14 + 2 x 5. B. (14+2) x 5 C. 24 - 6÷ 3. D. (24 - 6) ÷ 3
    5·2 answers
  • What are the solutions of the equation: x2 – 1 = 15?
    10·1 answer
  • Use the second list of random numbers to again calculate the experimental probability of a group having at least three
    5·1 answer
  • Clark is removing dirt from a rectangular section of his backyard to build a water feature. The section is 2.9 meters long and h
    8·1 answer
  • Help please i rlly need the answers as soon as possible
    11·2 answers
  • Help please thank you and also show the work please
    9·1 answer
  • Which of the following is NOT a rational number?
    7·1 answer
  • 10 points pls answer!
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!