Answer:
Fraction form it is 2 5/7 decimal form it is ~ 2.7143
Step-by-step explanation:
Use the formula to determine the number of black squares in the first five figures of the Sierpinski Carpet given by the partial sum:
For this sum:
a1 = 1
r = 8
n = 5
The number of squares in the first five figures is = 4681
Using a geometric sequence, it is found that the number of black squares in the first five figures of the Sierpinski Carpet is of 4681.
What is a geometric sequence?A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio r.
The nth term of a geometric sequence is given by:
[tex]a_n = a_1r^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term.
The sum of the first n terms of a sequence is given by:
[tex]S_n = \frac{a_1(1 - r^n)}{1 - r}[/tex]
In this problem, the parameters are: [tex]a_1 = 1, r = 8, n = 5[/tex], hence:
[tex]S_n = \frac{1(1 - 8^5)}{1 - 8} = 4681[/tex]
The number of black squares in the first five figures of the Sierpinski Carpet is of 4681.
More can be learned about geometric sequences at https://brainly.com/question/11847927
Answer:
1, 8, 5
Step-by-step explanation:
4681, 2,396,745
8.51348434552 to 3 decimal places
Answer:
8.513
Step-by-step explanation:
The round off to the number at three decimal places will be 8.513.
What is rounding off the numbers?When a number is rounded off, its value is maintained but is brought closer to the next number, simplifying the number. For entire numbers as well as decimals at different places of hundreds, tens, tenths, etc., it is done.
A number can be rounded off to its lower value if the number after the decimal is between 0 and 4. The number will be rounded off to its higher value if the number after it is between 5 and 9.
The round-off to the number 8.51348434552 to the three decimal places will be 8.513.
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A line segment has endpoints at (-1, 4) and (4,1). Which reflection will produce an image with endpoints at (-4,1)
and (-1,-4)?
a reflection of the line segment across the x-axis
O a reflection of the line segment across the y-axis
O a reflection of the line segment across the line y = x
O a reflection of the line segment across the line y = -X
Answer:B
Step-by-step explanation:
A reflection of the line segment across the line y = - x, will produce an image with endpoints at (- 4, 1) and (- 1, - 4).
What are transformations?Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.
Dilation: The preimage is scaled up or down to create the image.
Reflection: The picture is a preimage that has been reversed.
Rotation: Around a given point, the preimage is rotated to create the final image.
Translation: The image is translated and moved a fixed amount from the preimage.
We know, A reflection across the 180° about the origin transforms
(x, y) to (-x, - y)
Therefore A line segment has endpoints at (-1, 4) and (4,1) will have an image at (- 4, 1), and (- 1,- 4) is a reflection of the line segment across the line y = - x.
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forty percent of the first 20 whole numbers are prime. how many of the first 20 whole numbers are prime
Answer:
there are 8 prime numbers before 20
Step-by-step explanation:
forty percent of 20 is:
40% × 20=
[tex]\frac{40}{100}[/tex]×20= 8
so the number of whole prime numbers before 20 are 8.
They are:
2,3,5,7,11,13,17,19.
Answer:
8
Step-by-step explanation:
I need HELP class is about to start and I don’t know any of this
Answer:
I'm not sure, let me work it out.
Step-by-step explanation:
given that f (x) x^2 - 3x find f(-4)
Answer:
28
Step-by-step explanation:
If you put -4 into all of the xs, then you should end up with the answer 28.
Can you help me with my homework question?
Helps please quick geometry
9514 1404 393
Answer:
5) 76°
7) 34°
Step-by-step explanation:
5) An angle bisector creates two congruent angles, so ...
∠WUV = 2(∠1)
9x +4 = 2(5x -2)
9x +4 = 10x -4
8 = x
Then ...
∠WUV = 9(8) +4 = 76
The measure of angle WUV is 76°.
__
7) An angle bisector creates two congruent angles, so ...
∠1 = ∠2
2x -3 = x +7
x = 10 . . . . . . . . add 3-x
Then ...
∠XVW = 2(∠2) = 2(10 +7) = 34
The measure of angle XVW is 34°.
Select each transformation that carries a square onto itself.
a reflection over one of the square's sides
3 rotation of 180' clockwise about the square's center
a rotation of 90: clockwise about the squares center
a rotation of 180: clockwise about one of the squares vertices
: reflection over one of the souare s diagonals
Answer:
1. a reflection over one of the square's sides
2. a rotation of 90: clockwise about the squares center
3. a rotation of 180' clockwise about the square's center
Step-by-step explanation:
I did a test :)
In the following hypothetical scenarios, classify each of the specified numbers as a parameter or a statistic.
a. There have been 44 Presidents of the United States, and 36% of them were Democrats. The 36% here is a:________
b. In a 2015 Gallup poll of 1025 adults living in the United States, 53% said they trust the judicial branch of the federal government. The 53% here is a:________
c. The survey results from 12 local parks show the mean height of 60 ft for mature oak trees. The mean height of 60 ft is a:_________
d. The 72 employees at ABC company have a mean income of $52,317 with a standard deviation of $36,829. The $36,829 is a:______
e. In a random sample of homeowners in the United States, it is found that 34% of the sampled homeowners renew their home warranty. The 34% here is a:______
Answer:
Explained below.
Step-by-step explanation:
A parameter is a valuable element of statistical analysis. It denotes the characteristics that are used to define a given population. It is used to define a particular attribute of the population. For instance, population mean, population standard deviation, population proportion and so on.
While making a statistical conclusion about the population under study, the parameter value is unknown. This is because it would not be possible to gather data from every single member of the population. So a sample is selected from the population to derive a conclusion about the parameter.
A statistic is the value of the characteristics that are computed using this sample. For instance, sample mean, sample standard deviation, sample proportion and so on.
(a)
There have been 44 Presidents of the United States, and 36% of them were Democrats. The 36% here is a parameter.
(b)
In a 2015 Gallup poll of 1025 adults living in the United States, 53% said they trust the judicial branch of the federal government. The 53% here is a statistic.
(c)
The survey results from 12 local parks show the mean height of 60 ft for mature oak trees. The mean height of 60 ft is a statistic.
(d)
The 72 employees at ABC company have a mean income of $52,317 with a standard deviation of $36,829. The $36,829 is a parameter.
(e)
In a random sample of homeowners in the United States, it is found that 34% of the sampled homeowners renew their home warranty. The 34% here is a statistic.
The value for √10 is approximately between 3 and 4. Approximate further to find the values to the tenths place that √10 is between.
Answer:
A=3.1
B=3.2
Step-by-step explanation:
Find the value of x that will make L||M.
L
X + 5
M
2X - 7
X = ?
Answer:
x+5=2x-7
2x-x=7+5
x=12
Step-by-step explanation:
x+5=2x-7(being corresponding angle)
x-2x=-7-5
-x=-12
x=12
The number math problems Michel can solve varies directly with the amount of time he spends solving math problems. Michel can solve 8 problems in 5 minutes? How many math problems can Michel solve in 25 minutes?
Answer:
40 problems
Step-by-step explanation:
8 problems : 5 mins
? : 25 mins
8 x 5 = 40
40 problems
hope this helps
braonliest plz?
x
HELP ASAP I have no clue what to do here pls just click the picture and help :(
Answer: 3 Multiply
Step-by-step explanation: u would Multiply 4x7
Algebra 1 unit 4 mid quiz
The inequality that represents this graph is y < 2x + 2.
What are inequalities and their types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
The dotted line represents strictly less than or greater than.
From the graph, we can conclude that when x = 0, y = 2, and when x = 1 y = 4, and values of y are strictly less.
∴ The inequality that represents this graph is y < 2x + 2.
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A car travels 100 km with 9.8 liters of gas. How much gas is required for a 1482 km trip?
Answer:
145.236 is required
Step-by-step explanation:
(1482x9.8)/100
How do I write an equation that would allow someone to find the value of R
Answer:
R+239=3501
Step-by-step explanation:
Add the three 1,167 values together and you get 3,501. Then, because we know a portion of the three blocks is equal to 239, add it so when we solve for R, 239 is subtracted from the total.
As for solving it,
Subtract 239 on both sides, and R is 3501-239 = 3262
Approximately 41% of films are rated PG. If 950 films were recently rated, how many films were rated PG.?
Answer:
about 390
Step-by-step explanation:
you multiply 41% by the 950 and that's what you get
At best buy they have a 42” TV that sells for $1250 and is on sale for 15% and sales tax is 6.5%. What is the final cost? (Hint: Calculate the discount first and then the tax).
Answer:
pre-tax = 1,062.50
after taxes = 1,131.56
6 divided by the sum of x and 4 equals the quotient of 2 and the difference of x and 4
Answer:
6
Step-by-step explanation:
k bik k,k h
2 to the 8th power multiplied by 2 to the 4th power
Answer:
4096
Step-by-step explanation
Do 2×2×2×2×2×2×2×2 to get 256
Then do 2×2×2×2 to get 16
Lastly do 256×16 to get a grand total of 4096
In the election for class president, John received 25 votes, and Luke received 10 votes. Express the relationship of John's votes to Luke's votes as a reduced ratio.
Answer
5:2 5/2 5 to 2
Step-by-step explanation:
GCF of 25 and 10 is 5.
25/5 = 5 | 10/5 = 2
you can express ratios with a colon symbol, "to", or a fraction.
Since it's John to Luke it should be the answer above.
Find l-65|.
[tex] | - 65| [/tex]
Answer:
65
Step-by-step explanation:
l-65|
Take the non- negative value of what is inside the parentheses
65
the decimal 105.7 becomes 1057 when multiplied by 10.
Answer:
yes true correct
Step-by-step explanation:
Brainly crown?
Answer:
True.
Step-by-step explanation:
I don't know if this is a true or false thing but it is true.
a school is having a pizza party. each pizza is cut into 12 slices. which explains whether it is better to estimate a greater or lesser number than the actual number of people that will eat pizza
Answer:
they said each pizza
Step-by-step explanation:
that means it isn't only one pizza but maybe a ton of them
There are 5,000 candles in a warehouse. There are 36 rows with 58 summer scented candles. The rest of the candles are winter scented. How many winter scented candles are in the warehouse?
Answer:
15
Step-by-step explanation:
Answer:
2912
Step-by-step explanation:
Help, only right answers get brainliest.
Answer:
slope= 1.5 or 3/2
Answer:
1.5 or 3/2
Step-by-step explanation:
First point: (-1, 2)
Second point: (1, 5)
Using the formula for slope, (5-2)/(1+1) = 3/2
If there are 12 eggs in a carton, how many are in 5 cartons?
Answer:
60
Step-by-step explanation:
12x5 is equal to 60
Complete the function using the function y=-2x -6
-2
0
2
4
a
domain: {0, 2, 4), range: (2,6, 10}
b. domain: {0}, range: {2}
domain: (2, 6, 107, range: {0, 2, 4}
d.
domain: {2}, range: {0}
C.
Answer:
A
Step-by-step explanation: