A light bulb's brightness is reduced when placed behind a screen. The amount of visible light produced by the light bulb decreases by 25% with each additional layer that is added to the screen. With no screen, the light bulb produces 750 lumens. The lumen is a unit for measuring the total quantity of visible light emitted by a source.

Select the correct equation that can be used to represent the lumens, L, after x screen layers are added.

A.
L = 750(1.25)x
B.
L = 750(0.75)x
C.
L = 750(0.975)x
D.
L = 750(0.25)x

Answers

Answer 1

Answer:

b

Step-by-step explanation:

Answer 2

The required equation that can be used to represent the lumens, L, after x screen layers are added is [tex]l = 750(0.75)^x[/tex]. Option B is correct.

What is the equation?

The equation is the relationship between variables and is represented as y = ax+ v an example of a polynomial equation.

Let L be the power of the bulb in lumens and x be the number of layers added to the screen. Since every layer decreases the brightness of the blubs by 25%, The sequence in which the light brightness gets decreased.

For number of screen x = 1
= 750(1 - 0.25)
For number of screen x = 2
= 750(1 - 0.25)(1 - 0.25)
For number of screen x = 3
=750(1 - 0.25)(1- 0.25)(1-0.25)
.... so on

The above observation can be computed as power (1 - 0.25)  increasing after adding a number of screens,

Now
[tex]L = 750(1 - 0.25)^x\\L = 750(0.75)^x[/tex]

Thus, The required equation that can be used to represent the lumens, L, after x screen layers are added is [tex]l = 750(0.75)^x[/tex].

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Related Questions

Which number is a common multiple of 2 and 4?

A) 14

B) 24

C) 26

D) 34

LAST QUESTION MORE POINTS!

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Answer:

Step-by-step explanation:

c I think I did the math that’s what it leads to so yeah

1. If Frank has 2 times as many dimes as quarters and they have a combined value of 180 cents, how many of each coin does he have?
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Answers

[tex]❖\qquad\qquad\huge\underline{{\sf Answer}} \qquad \normalsize❖[/tex]

Let's simplify ~

[tex]\qquad \sf  \dashrightarrow \: \cos(x) \times \tan(x) \times \csc(x) [/tex]

[tex]\qquad \sf  \dashrightarrow \: \cancel{ \cos(x) }\times \dfrac{ \cancel{ \sin(x)} }{ \cancel{ \cos(x) }} \times \dfrac{1}{ \cancel{\sin(x)} } [/tex]

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Prove it Step by Step. Parallelogram Based Question. I will make Brainelist + 50 points ​

Answers

Answer:

(i) ABCD = ABEC

(ii) As BF || AC then BE || AC, so CE = AB.

As AB = DC, then DC = CE

(iii) ΔDGE ≠ ΔCFE so I assume there is a typing error in the question, as

ΔDGC = ΔCFE

As DC = CE (as proved in (i)), AC || BE and DG ⊥ AC and CF ⊥ BE then ΔDGC = ΔCFE

(iv)  As DG ⊥ AC and CF ⊥ BE,  and AC || BE, then DG || CF

(v)  As  AC || BE  then GF || DC.  As DG || CF (as proved in (iv)), then DGFC is a parallelogram.

has parallel sides but is not a trapezoid ​

Answers

Answer:

Parallelogram

Step-by-step explanation:

Instead of one pair of parallel sides like in a trapezoid, a parallelogram has two pairs of opposite sides (for example a rectangle)

what decimal part of one dollar is two dimes

Answers

Answer: Tenths place.

Step-by-step explanation:

0.20

The 2 is part of the tenths place.

Answer:

$0.20

Step-by-step explanation:

1 penny = $0.01

1 nickel = $0.05

1 dime = $0.10

1 quarter = $0.25

Two dimes = $0.20

Or 1/4 of a dollar

Or 0.2 because you don't need to add a 0 at the end of .2 or the $ sign.

-77x - 78x = -155x

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x = -6

Substitute x = -6 into one of the two original equations, solve for y, and then state the full solution to the system of equations.

Answers

Answer:

I don't understand

Step-by-step explanation:

You answer it.

Which phrase describes the algebraic expression 6x?
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Answers

Answer:

The product of 6 and a number

Step-by-step explanation:

There isn't any "real" mathematics needed to find the answer, just common background knowledge:

6x = 6 times x,

and product is referencing multiplication

(Since quotient is for division, difference for subtraction, and sum for addition)

considering we need to represent an expression which uses multiplication in words, the correct answer is:

O the product of 6 and a number

ach of the
7
cats in a pet store was weighed. Here are their weights (in pounds).
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Answer: 10.3, 9

Step-by-step explanation:

11. Angles 1 and 2 are supplementary. Angle 2 is 1/3 the size of angle 1. What
are the degree measurements of each angle?
⚫️67.50 and 22.5°
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⚫️135° and 45°

Answers

Answer:

90 for choice 1, 112.5 is for choice 2, 180 for choice 3, and 180 for choice 4.

Step-by-step explanation:

67.50 and 22.5 is a complementary angle because it adds up to 90 degrees.

22.5 and 90 added is 112.5 which is an obtuse angle

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Answers

Answer:

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Step-by-step explanation:

please help, have to turn in in 30 mins

Answers

Please attach some form of question first, thank you!

Will mark YOU brainliest!!
Express the following phrase as a unit rate:
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Answers

Answer: 15 miles per gallon

Step-by-step explanation:

135 divided by 9

15 miles per gallon

rate:

[tex]\sf \dfrac{distance}{amount \ of \ oil}[/tex]

[tex]\rightarrow \dfrac{135}{9}[/tex]

[tex]\sf \rightarrow15 \ miles \ per \ gallon[/tex]

Please help! It's very confusing to me

Answers

Answer:

b. is the equation and 18 is the answer.

Step-by-step explanation:

the 9 plus b has to equal the 27

18 is the value of b.

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Answers

Answer:

(x+5)(2x+7)

Step-by-step explanation:

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I hope this helps!!

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Answers

Answer:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer: 30 degrees

Step-by-step explanation:

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What is the height, x, of the prism?

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Answers

Answer:

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Step-by-step explanation:

219.05

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Answers

Answer:

a: there are 30 calories additional grams of sugar for every additional calorie in a menu item

Step-by-step explanation:

Based on a survey, assume that 35% of consumers are comfortable having drones deliver their purchases. Suppose that we want to find the probability that when six consumers are randomly selected,
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Answers

Answer:

Suppose that we want to find the probability that when six consumers are randomly selected, actually three of them are comfortable with delivery by drones.

Step-by-step explanation:   hopes this helps you!

Find the exact value or type
"undefined"
tan(-315)
[?]

Answers

Answer:

the exact value of tan(-315) is 1

Answer:

The tangent of -315 is opp/adj = 1/1 = 1

Step-by-step explanation:

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=
x = [?]
=

Answers

It's 25 because 25 divided by 5 is 5.

URGENT I NEED IT NOW PLEASE HELP ME!!!!

Answers

The fourth one because they at minimum need that amount not the most. The answer is option 4 or the last option

Help picture below please

Answers

Answer:

tkm

Step-by-step explanation:

First T the middle k and at last m

Complete the inequality.
(-9/8)/(-2 3/4) ? 3/22
>
<
=

Answers

Answer:

(-3/8)/(-2 3/4) = 3/22  

Step-by-step explanation:

Solve the following;

[tex]\frac{\left(-\frac{3}{8}\right)}{\left(-2\frac{3}{4}\right)}[/tex]

[tex]=\frac{\left(-\frac{3}{8}\right)}{\left(-\frac{11}{4}\right)}[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{-b}=\frac{a}{b}[/tex]

[tex]=\frac{\frac{3}{8}}{\frac{11}{4}}[/tex]

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[tex]=\frac{3\cdot \:4}{8\cdot \:11}[/tex]

[tex]\frac{3}{22}[/tex]

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~Learn with lenvy~

Find x in circle O (The figure is not drawn to scale)​

Answers

Answer:

20.5 degrees

Step-by-step explanation:

So when the arc is being made from two lines coming out from the center, the measure of the arc is the same as the angle of the lines.

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Now that center line is the diameter, which means it is 180 degrees

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180 - 41 = 139

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This makes it an isosceles triangle. So, the angle of OB and BA is the same as OB and BA. The measurement of all the angles in a truianbgle is 180 degrees, so to find the measurement of x, you need to subtract 139 from 180:

180-139 = 41

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41/2 = 20.5

and that is x :)

Data Analysis 7th grade math
Laura kept a record of the number of minutes she spent at the gym this week.

Day Minutes
Monday 60
Tuesday 70
Wednesday 62
Thursday ?

How many minutes should she spend at the gym on Thursday in order to average 65 minutes a day for four days.

________ Minutes

Answers

You would add 60+70+62=192, then you would need to figure for x. You would take 65 and multiply it by 4. I got to make it average, 78.

she spends 68 minutes at the gym on Thursday in order to average 65 minutes a day for four days.

What is Average?

The mean (also known as the arithmetic mean, which varies from the geometric mean) of a dataset is calculated as the sum of all values divided by the total number of values. This measure of central tendency is usually referred to as the "average".

Granted, Laura recorded how long she spent at the gym each day this week.

Let "x" represent the time she spent working out on Thursday.

Since,

Average = (sum of values)/ count of values

Thus, in our case

Average = (60 +70 +62 +x)/4

average is 65 minutes a day for four days.

65 = 192 +x)/4

192 +x = 260

x = 260-192

x = 68

Therefore, she spends 68 minutes at the gym on Thursday in order to average 65 minutes a day for four days.

Learn more about Average here:

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This figure is the pre-image of a prism that has undergone a dilation with a scale factor of 3/4.


What is the surface area of the image after the dilation?



185 5/8 m²


219 3/8 m²


247 1/2 m²


292 1/2 m²

Answers

The surface area of the image after the dilation is 219 3/8 m²

What is an area?

Area is the amount of space occupied by a two dimensional shape or object.

The surface area of the prism = 2(0.5 * 5 * 12) + (5 * 11) + (11 * 12) + (13 * 11) = 390 m²

The surface area of the image after the dilation = scale factor² *  390 m² = (3/4)² * 390 m² = 219 3/8 m²

The surface area of the image after the dilation is 219 3/8 m²

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