El área de papel utilizada para cada CD es aproximadamente 20.41 cm².
How much paper area is used for each CD?
Para calcular el área de papel utilizado para cada CD, necesitamos determinar el área de la región entre dos círculos concéntricos.
El área de un círculo se calcula utilizando la fórmula A = πr², donde r es el radio. En este caso, tenemos dos círculos con radios diferentes: el radio mayor de 5.8 cm y el radio menor de 0.7 cm.
El área del papel utilizado será la diferencia de áreas entre los dos círculos. Entonces, podemos calcularlo de la siguiente manera:
Área utilizada = Área del círculo mayor - Área del círculo menor
= π(5.8²) - π(0.7²)
= π(33.64) - π(0.49)
≈ 105.72 - 1.54
≈ 104.18 cm²
Por lo tanto, aproximadamente se utilizan 104.18 cm² de papel para cada CD.
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In a double-slit experiment, bright interference fringes are spaced 1.8mm apart on the viewing screen when the incident light has a wavelength of 630 nm. What will the fringe spacing be if the light is changed to a wavelength of 420 nm
If the incident light changes from a wavelength of 630 nm to 420 nm, the fringe spacing will decrease, resulting in fringes that are closer together.
In a double-slit experiment, when light passes through two narrow slits and hits a viewing screen, interference patterns are observed. The fringe spacing, also known as the separation between adjacent bright fringes, is determined by the wavelength of the incident light. The formula for calculating fringe spacing is given by:
Fringe Spacing = (wavelength * distance from slits to screen) / distance between the slits
Given that the fringe spacing is initially 1.8 mm when the incident light has a wavelength of 630 nm, we can use the formula to calculate the new fringe spacing when the light wavelength changes to 420 nm. Since the distance from the slits to the screen and the distance between the slits remain constant, the only variable that changes is the wavelength. As the wavelength decreases, the fringe spacing will also decrease. Therefore, the fringe spacing will be smaller when the light wavelength is 420 nm compared to when it is 630 nm.
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Please help will mark brainliest if correct
Answer:
Step-by-step explanation:
Triangles are congruent by SAS postulate.
a running shoe company wants to sponsor the fastest 3% of runners. you know that in this race, the running times are normally distributed with a mean of 7.2 minutes and a standard deviation of 0.56 minutes. how fast would you need to run to be sponsored by the company? g
Answer:
6.104
Step-by-step explanation:
Given that,
Mean, {eq}\mu = 6.8 {/eq}
Standard deviation, {eq}\sigma = 0.37 {/eq}
{eq}P(X < x) = 0.03\\ P(\dfrac{X - \mu}{\sigma} < \dfrac{x - \mu}{\sigma}) = 0.03\\ P(Z < \dfrac{x - 6.8}{0.37}) = 0.03\\ P(Z < z) = 0.03 {/eq}
Excel function for the value of z:
=NORMSINV(0.03)
{eq}z = -1.881\\ \dfrac{x - 6.8}{0.37} = -1.881\\ x = 6.8-1.881\times 0.37\\ \color{blue}{x = 6.104 \ minutes} {/eq}
To be sponsored by the running shoe company as one of the fastest 3% of runners, one would need to run faster than the upper 3rd percentile of runners. This can be calculated using the z-score formula which is given as; z = (x - μ) / σ where x is the value we want to find the percentile of, μ is the mean and σ is the standard deviation.
The z-score formula can be rearranged to solve for x which is the running time needed to be sponsored by the company as follows;x = z * σ + μWe want to find the upper 3rd percentile, which corresponds to a z-score of 1.88 (from z-tables or calculator).
Therefore;1.88 = (x - 7.2) / 0.56. Rearranging to solve for x;x = 1.88 * 0.56 + 7.2x = 8.1888 (rounded to 4 decimal places)Therefore, one would need to run faster than 8.1888 minutes to be sponsored by the running shoe company as one of the fastest 3% of runners.
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If the graph of h was transformed to create the graph of g(x) = x2 + 3, which statement is true?
Answer:
Step-by-step explanation:
Graph J
Step-by-step explanation:
The graph of f(x) = x² is transformed to create the graph of h(x) = 2f(x) = 2x²
Now, for x = 0, f(x) = 0 and h(x) = 0
Therefore, both the graphs passes trough the origin.
Now, for x = 1, f(x) = 1 and h(x) = 2
Therefore, f(1) < h(1)
Hence, the graph J represents the correct graph of f(x) and h(x).
Answer: A
Step-by-step explanation: bc i guessed and got it right lol
Solve for a. -16-7a=5
Answer:
A = -3
Step-by-step explanation:
-16-7(-3)=5
I found the answer on multiple sites but can somebody please help me with the explanation as I did not find that anywhere.
Answer:
Explanation thing
Step-by-step explanation:
The larger the angle, the farther the opposite side is . (For example, the angle representing Dallas shows the rank of distance from Abilene and Austin)
Michael travels 172 miles in 4 hours. Find the unit rate.
Answer:
43.5
Step-by-step explanation:
Help please! I'll mark you as Brainliest!
Answer:
c
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Since we are working with tenths all we have to do is add the numerators of each fraction.
4 + 3 + 1 + 1 = 9
9/10
Donald's Donuts makes both chocolate and plain glazed donuts. Each Saturday, they make 13 plain glazed donuts for every 7 chocolate glazed donuts. What is the ratio of chocolate glazed to plain glazed
Answer:
13:5, or 13 to 5.
Step-by-step explanation:
The 13-to-5 expression can be useful when answering questions about the ratio.
Answer:
7:13
Step-by-step explanation:
That's the simplest form since they're both prime numbers.
A bowl contains 1 grapefruit (G), 1 plum (P), 1 orange (0) and 1 banana (B). Ravi takes two pieces of fruit from the bowl. Complete the list of possible pairs of fruit Ravi could take. GB P, O 0. B
Answer:
GP, GO, GB, PO, PB, OB
Step-by-step explanation:
x
Equivalent ratios
ord
Select two ratios that are equivalent to 4: 18.
a sample of n = 8 scores has a mean of m = 10. after one score is removed from the sample, the mean for the remaining score is found to be m = 11. what was the score that was removed?
If a sample of 8 scores has a mean of 10 and after removing one score, the mean of the remaining scores is 11, the score that was removed is 7.
The mean of the original sample is 10. This means that the sum of the scores in the sample is 8 multiplied by 10, which equals 80. After one score is removed, the mean of the remaining scores is 11. Since there are now 7 scores remaining in the sample, the sum of those scores is 7 multiplied by 11, which equals 77.
To find the score that was removed, we need to calculate the difference between the sum of the original sample and the sum of the remaining scores. The difference is 80 minus 77, which equals 3. Therefore, the score that was removed from the sample is 3.
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Which expressions are equivalent to 2^5/6^5
Answer:
B:: 3^-5
Step-by-step explanation:
Symplifying, you should get 1/3 raised to the 5. flip the expression and you will get 3 to the negative 5. one to the 5 is just 1•1•1•1•1, which will result in 1, so we don't care about that.
Suzy's kitchen measures 17 feet by 4 feet She would like to add a small tile border around the entire room. How much should she expect to pay
if the tile strip costs $0.95 per foot
Total Cost = $
Preview My Answers Submit A
Room DimensionsLiving Room:·Room: 12 feet x 19 feet·Wall Height: 8 feet 4 walls painted
Step-by-step explanation:
what is the mean absolute error?
Answer:
Step-by-step explanation: Mean Absolute Error is a model evaluation metric used with regression models. The mean absolute error of a model with respect to a test set is the mean of the absolute values of the individual prediction errors over all instances in the test set.
What is the value of the expression? Enter the answer in the box.
4+(8 - 7) X6-1
If the area of a square is 200 square feet, what is the perimeter? Hide answer choices 400 ft 10√√2 ft 50 ft 40-√√2 ft
To find the perimeter of a square, we need to know the length of one side. Since the area of the square is given as 200 square feet, we can find the length of one side by taking the square root of the area.
Let's calculate:
√(200) ≈ 14.14 ft
The length of one side is approximately 14.14 feet. Since a square has four equal sides, the perimeter is calculated by multiplying the length of one side by 4:
Perimeter = 4 * 14.14 ft = 56.56 ft
Therefore, the correct answer is approximately 56.56 ft.
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Solve for x
B
31°
С
26
X=
(Round to the nearest hundredth.)
Answer:
S i neorrddints poy
Step-by-step explanation:asdadasdasdasdo
Emma bought 12 pots. One sixth of them are green. Emma said she has 2 green pots. does she make sense
Answer: It does make sense
Step-by-step explanation:
12*1/6= 12/6
12/6=2
Translate into an algebraic expression:
Five less than the product of t and 15.
Answer:
15t-5
Step-by-step explanation:
im not sure if this is the type you are looking for, if not let me know and i will fix it
Answer:
15t -5
Step-by-step explanation:
less than comes after
product means multiply
15t -5
I NEED HELP ON THIS FAST
4x+1/20x³ + 2⁹x²³-10X
Answer: \(5x^{2} +6x\)\(-4\)
Step-by-step explanation:
Synthetic division
A boat which moves a 15 miles per hour without a current goes 36 miles upstream and 36 miles back in 5 hours. Find the speed of the current
Answer:
3 mph
Step-by-step explanation:
UPSTREAM:
distance = 36 miles ;
Speed = 15-c mph ;
TIME, t = distance / speed = 36/(15-c)
Downstream :
distance = 36 miles ;
speed = 15+c mph ;
time, t = 36/(15+c)
upstream time + downstream time = 5 hrs
36/(15-c) + 36/(15+c) = 5
36(15+c) + 36(15-c) = 5(15-c)(15+c)
1080 = 5(225 - c²)
1080 / 5 = 225 - c²
216 = 225 - c^2
216 - 225 = c²
-9 = c²
c = 3
A polling firm wants to predict the success of a restaurant, and conducts surveys of randomly selected residents. The residents are asked whether they will eat at the restaurant. The results are shown in the table. The actual percent of residents who will eat at the restaurant is expected to be closest to which number?
The actual percent of residents who will eat at the restaurant is expected to be closest to 56%.
How to explain the percentageThe sample sizes for the four surveys are 10, 20, 280, and 200. The number of "yes" responses for each survey are 3, 9, 50, and 132, respectively. The percent of responses for each survey are 30%, 45%, 56%, and 66%, respectively.
The average percent of responses for the four surveys is 53%. However, the survey with the largest sample size has a percent of responses of 56%. This suggests that the actual percent of residents who will eat at the restaurant is closer to 56% than 53%.
It is important to note that the actual percent of residents who will eat at the restaurant may be higher or lower than 56%. This is because the surveys are only a sample of the population, and the results may not be representative of the entire population.
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The sum of three consecutive odd integers is 75 . Find the value of the middle of the three.
The value of the middle of the three is 25.
Let x be the first odd integer, then the next two consecutive odd integers are x+2 and x+4. The sum of these three consecutive odd integers is given as 75, so we can write the equation:
x + (x+2) + (x+4) = 75
Simplifying the left side of this equation gives:
3x + 6 = 75
Subtracting 6 from both sides gives:
3x = 69
Dividing by 3 gives:
x = 23
So the first odd integer is 23, and the next two consecutive odd integers are 25 and 27. The middle of these three is the second consecutive odd integer, which is 25. Therefore, the value of the middle of the three is 25.
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Thu gọn và tìm bậc các đơn thức sau
6x²y×(2/3xy²)
Answer:
2xy²six x squared y over 3 x y
Answer: 4x/y
Step-by-step explanation:
6x^2y. (2/3xy^2)= (6x^2y.2)/(3xy^2)= (12x^2y)/(3xy^2)= 4x/y
Just give the answer
Answer:
378g - 274 = 299........
What is the area of this figure
Answer:
178m squared
Step-by-step explanation:
make 3 rectangular shapes
shape 1 ) 18×5=90
shape 2) 13×6= 78
shape 3) 5×2=10
Add up all the answers and that's the ans
90+78+10=178
2m-8-m+10 solve it.
Answer:
m+2
Step-by-step explanation:
Collect like terms
m-8+10
Calculate the term
x+2
Hope this helpsʕ•ᴥ•ʔ
What is the distance from W to X?
Answer:
The answer is 35 miles.
Step-by-step explanation:
Let's assume that the distance from W to Y is x miles
Distance from W to X is 70 % of x =0.7*x
Given distance from X to Y is 15 miles.
x-15=0.7x
x-0.7x=15
0.3x=15
x=15/0.3
x=50miles
Thus the distance from W to Y is 50 miles and the distance from W to X is 50-15=35 miles
9) Aunt Rosie made 50 pies for Mardi Gras.
She made 10 apple pies.
She made 12 pecan pies.
She made 8 chocolate cream pies.
What percent of the pies were pecan?
Answer:
24 %
Step-by-step explanation:
12 out of 50 is 24%. Hope this helps ya!!
Answer:
24 percent
Step-by-step explanation:
Multiply 50 by 2 to get the standard numbers of percentile. You can then multiply all the other numbers (10, 12, 8) by 2. Do this to the 12 pecan pies and you get 24. 24 percent!
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