Answer:
not sure about the equation or answer
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
Answer:
b
Step-by-step explanation:
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].
Learn more about the equation here:
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An angle measure 29•, what is the measure of it compliments
Answer:
The complement of 29° is the angle that when added to 29° forms a right angle (90° ).
Step-by-step explanation:
Hope this helps you!
A triangular garden is being
formed by bricks. The three
sides measure 4 feet, 10
feet, and 3 feet in length.
Will these measurements
result in a triangle?
Answer:
Yes
Step-by-step explanation:
If there are three measurements, then it will result in a triangle.
Beth Hazelton purchased a compact vehicle with an $18,240.00. MSRP including the delivery and title fee. She selected a leather interior which costs 5 times the upgraded stereo system. If the total cost of the vehicle, including a 7% sales tax, was $21,365.20 find the cost of the (a) stereo system and (b) leather interior. Use the example in the book to help you with solving this problem.
Answer:
price of leather thingy= $2906.62
price of stereo system = $581.33
Step-by-step explanation:
final cost minus cost of total before adding the leather.
21,365.20
- 18,240.00
= $3125.2
to find the exact price of the leather since the 7% tax was included in the price we mulitply by .93
3125.2 x .93 = 2906.62
we know the stereo is 1/5 of the price of the leather so we divide by 5 2906.63 ÷ 5 = 581.33
there u go! pls give brainliest :D
10 1/5 • 4 1/4 • 2 not simplified please
51/5 × 17/4 ×2
=51/5 ×17/2
= 867/10
What is 4/3 + 2/11? Simplest form but as a fraction
Answer:
50/33 is the answer that needs to written. Yes this is the simplest form.
Answer:
50/33
Here you go
The field trip to the science museum will cost $22 per student. If Mrs. Robertson has 24 students, how much money will she collect in all?
Answer:
528
Step-by-step explanation:
22x24=528
Answer:528$
Step-by-step explanation: you have to do 22 dollars times 24 students which would be 528
Beth and Brianne had a yard sale to raise money. They donated 2 of their profits to their 10 school sports teams, 3 to the animal shelter, and 1 to the hospital. Which model can be 10 10 used to find the total fraction of their profits that they donated? Explain your thinking.
Answer:
Model 1
Step-by-step explanation:
Model 1 correctly displays the amount of money Beth and Brianne donated and raised at the yard sale. 2/10 + 3/10 + 1/10 = 6/10 (this would be the total amount donated.If 6/10 was donate, 4/10 of the total profit still remains. Model 2 does not represent the total profit that the girls have remaining.4,5,6,6,7,7,8,8,8,8,8,9,9
What is the standard deviation and variance for these students' quiz scores?
A laptop computer is purchased $1500. After each year , the resale value decreases by 25%. What will the resale value be after 5 years ? Round to the nearest dollar
A rare species of insect was discovered in the rain forest. In order to protect the species,
environmentalists declare the insect endangered and transplant the insects into a protected area.
The population of the insect t months after being transplanted is given by P(t).
P(t) =
60(1+0.4)
0.01t+3
a. How many insects were discovered? In other words, what was the population when t = 0?
b. What will the population be after 5 years? Round to the nearest whole insect.
Using the given function, it is found that:
a) 20 insects were discovered.
b) The population after 5 years will be of 417 insects.
What is the function for the number of insects after t months?As stated in the exercise, it is given by:
[tex]P(t) = \frac{60(1 + 0.4t)}{0.01t + 3}[/tex]
Item a:
[tex]P(0) = \frac{60[1 + 0.4(0)]}{0.01(0) + 3} = \frac{60}{3} = 20[/tex]
20 insects were discovered.
Item b:
5 years = 60 months, hence:
[tex]P(60) = \frac{60[1 + 0.4(60)]}{0.01(60) + 3} \approx 417[/tex]
The population after 5 years will be of 417 insects.
More can be learned about functions at https://brainly.com/question/25537936
evaluate the function for x=8 f(x)=x2/16-2x
Answer:
f = 8
Step-by-step explanation:
f(x) = x2/16 - 2x
f(8) = (8)2/16 - 2(8)
8f = 16/16 - 16
8f/8 = 16/8
f = 8
In which number is the value of the 7 ten times the value of the 7 in the number 17,862
Answer:
Your answer would require a 7 in the hundreds place
Step-by-step explanation:
Find the surface area of the cube in square feet.
Answer:
The answer is 2/3 or 0.67 square foot.
Step-by-step explanation:
Given;Length (l) = 1/3 ftTo Find;Surface area of cubeFormula;Area = 6l²Now,
A = 6l²
A = 6 × (1/3)² ft
A = 6 × 1/9 ft
A = 6/9 ft
A = 2/3 square foot
Thus, The surface area of cube is 2/3 or 0.67 square foot.
Find the distance between Q and R
Answer:
Step-by-step explanation:
if A varies direct as a square of R. Find the % increase in A if R is increase by 20%.
Answer:
20%
Step-by-step explanation:
A=R^2
120/100
=1.2
1.2R= new value of R
original of R=R
A^1/2=R
change/origionalx100%
(1.2A^1/2-A^1/2)
-------------------- x 100%
A^1/2
A^1/2 (1.2-1)
--------------- x100%
A^1/2
0.2
---- x100
1
0.2x100
=20%
How much would $400 be worth after 6 years if it was invested at 2% interest compounded annually
450.46497
Step-by-step explanation:Based on the given condition:[tex]We\ know\ that:[/tex]
[tex]\left\{\begin{matrix}P=400\\r=2\%\\n=1\\t=6\\\end{matrix}\right.[/tex]
________________________________________________
Formulate and substitute:[tex]Substitute[/tex] [tex]\left\{\begin{matrix}P=400\\r=2\%\\n=1\\t=6\\\end{matrix}\right.[/tex][tex]into\ formula[/tex]
[tex]F=P*(1+r/n)^n^t\\ F=400\bullet(1+2\bullet\frac{1}{100})^6[/tex]
_________________________________________________
Evaluate[tex]Evaluate\ the\ equation/expression:\\ 450.46497[/tex]
I hope this helps you
:)
Help Please Quick! Pleasee
Answer:
you can search them up! Just search up fractions calculator
Step-by-step explanation:
In the following diagram,
A
∥
B
.
Use complete sentences to explain how the special angles created by the intersection of
A
and
B
by
D
can be used to solve for
x
.
Solve for
x
, showing all of your work.
Find the measure of
∠
6
.
Answer:
x=24
<6=79°
Step-by-step explanation:
We can see that if we add 3x+7 and 4x+5, it will total a 180-degree angle. This allows us to solve for x. 3x+7+4x+5=180 7x+12=180 7x=180-12 7x=168 x=24 We can also see that angle six is the same as the angle 3x+7. Since we know x=24, we can solve for those angles. 3(24)+7= 72+7=79 So <6=79 degrees
PLEASE HELP ME PLEASE
Answer
true
Step-by-step explanation:
Answer:
I think true because that's the only star that is closest to the earth
Abdul is working on a project and has cut a number of wooden blocks of equal size that are represented by this right rectangular prism. He now needs to cover the wooden blocks on all sides with a green fabric.
How much fabric does Abdul need in order to cover 8 of these blocks?
Step-by-step explanation:
4cm×2cm×1/2=4cm³
4cm³×8=32cm³
I think the answer is 176
Step-by-step explanation:
please tell me if I'm wrong
3 times the age of Felicia is 4 more than the age of Asare.in 3 years,the sum of their ages will be 30 years,find their present age
Answer:
Asare is 17 and Felicia is 7.
Step-by-step explanation:
let x be felicia's current age and y be asare's age. The equation for their age is y=3x-4. If 3x-1 + x+3 = 30, that means that 4x+2=30, so 4x=28. If 4x=28, x=7. Felicia is 7 and 3*7-4=17.
Solve the inequality for x and identify the graph of its solution.
3(x + 1) < 6
Choose the answer that gives both the correct solution and the correct graph.
Answer:
the answer is B
hope the answer may help you
If a puzzle measures 14 in x 16 in, how many inches of frame for the puzzle?
Find the missing side lengths. Leave your answers as radicals in simplest form.
1)
2)
1459
712
b
b
र
45°
a
X
3)
D)
X
у
45 6/3
459
912
X
x
Answer:
1) y = 7 x = 7
2) y = 4.243 x = 4.243
3) y = 7.348 x = 7.348
4) y = 9 x = 9
Step-by-step explanation:
just use a calculator and put in the given information
search Right Triangle Side and Angle Calculator
Answer:
Below in bold.
Step-by-step explanation:
1. This is an isosceles right angled triangle.
x = y.
The ratio of the sides in this triangle are 1:1:√2
So 1/√2 = x / 7√2
√2 x = 7√2
x = 7.
y = 7.
The other 3 are solved in a similar way as they are all isosceles right angled triangles:
2. b = 6 and a = 6√2.
3. 1 / √2 = x / 6√3
√2 x = 6√3
x = 6√3 / √2
x = 6√3 * √2 / 2
= 3√6
y = 3√6.
4. x = y = 9.
label the angle that is 57° in this 2-dimensional figure.
The measure of the angle that is 57° in this 2-dimensional figure is the angle vertically opposite to the angle 57 (the angle formed at X)
Line and anglesFrom the given diagram, we have the following:
The two angles on the straight line are 123 degrees and 57 degrees.
<F + 57 = 180
<F = 180 - 57
<F = 123 degrees
Hence the measure of the angle that is 57° in this 2-dimensional figure is the angle vertically opposite to the angle 57 (the angle formed at X)
Learn more on lines and angles here: https://brainly.com/question/25770607
When do you say that a given quadrilateral is a parallelogram?
Answer:
If in a quadrilateral, each pair of opposite angles is equal, then it is a parallelogram. Given : ABCD is a quadrilateral in which ∠A = ∠C and ∠B = ∠D. We know that the sum of the angles of a quadrilateral is 360o.
Step-by-step explanation:
hope that helps
I typically give 12% of money I receive to my church. My uncle died recently and left me some money. I donated $408 to my church in his memory. How much did he leave to me in his will?
your uncle left you with "x" total, which is the 100%, now, we also know that 408 is 12% of that, so
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 408& 12 \end{array} \implies \cfrac{x}{408}=\cfrac{100}{12}\implies \cfrac{x}{408}=\cfrac{25}{3} \\\\\\ 3x=10200\implies x=\cfrac{10200}{3}\implies x=3400[/tex]
help me plssssssssss
Answer:
<E=<I (it is a rotated triangle of 180 degrees)
<F=<H (they are both right triangles)
<EGF=<IGH (vertical angles are congruent)
segment FE=segment IH (cpctc)
segment EG=segment HG (cpctc)
segment FG=segment IG (the little dashes on the segments mean that they are congruent.
y=5/2x-9 find the y intercept
Answer:
(0,-9) You have to substitute 0 for x and solve for y