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.
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Answer:
1, 8, 5
Step-by-step explanation:
4681, 2,396,745
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°.
I mark as brainliest
Answer:
-2, 0
I think I haven’t done this in 3 years lol
Answer:
-2,0
Step-by-step explanation:
X is -2 and Y is 0.
So X,Y = -2,0.
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
Melissa is saving $25 that she earned for washing her mom’s car. She earns $19 every week for doing chores, which she also saves. Which equation can be used to find t, the amount of money Melissa will have saved at the end of n weeks of doing chores.
Answer:
25+19x=t At least I think
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.
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
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 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
A parachutist descends 30 feet in 2 seconds.Express the rate of the parachutist’s change in height as a unit rate
Answer:
15
Step-by-step explanation:
30/2= 15 feet per second
Brenda has to remote controlled race cars painted red and blue. The red car travel 38 feet in two seconds. The blue car traveled 54 feet in four seconds. Which car was faster and by how much
what’s the answer bruh? I need help fr fr
Answer:
C.
Step-by-step explanation:
Very simple! First we have to take 4x-y=24 and put it in slope intercept form. We get y=4x-24. After this, we have to find the reciprocal of the slope (4). The reciprocal is 1/4. Which equation has a slope of 1/4? C does!
Answer:
A
Step-by-step explanation:
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.
What is the inverse of the following statement: “If x is a whole number, then x = 5”?
a) If x is not a whole number, then x ≠ 5.
b) If x = 5, then x is a whole number.
c) If x ≠ 5, then x is not a whole number.
d) If x is not a whole number, then x = 5.
Answer:
It's a
Step-by-step explanation:
Because inverse means opposite so they are asking for the opposite of the statement "If x is a whole number, then x = 5”
Hope this helped ✨
If x is not a whole number, then x ≠ 5 is inverse of the statement if x is a whole number, then x = 5
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given statement is "If x is a whole number, then x = 5". To find its inverse, we need to switch the hypothesis and the conclusion, and negate both parts of the statement.
The hypothesis is "x is a whole number", and its negation is "x is not a whole number".
The conclusion is "x = 5", and its negation is "x ≠ 5".
So, the inverse of the given statement is:
"If x is not a whole number, then x ≠ 5."
Therefore, if x is not a whole number, then x ≠ 5 is correct answer.
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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
Serena wants to open a licensed child care center. Her state requires that there be no more than 12 children for each teacher. She would like her child care center to serve
29 children
(a) How many teachers will be needed?
Can you answer both and tell me the answer please
Answer:
7. 10^2
8. 3x3x3x3x3x3x3x3x3 = 19,683mi^2
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 :)
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
f
[tex]f(x)2 - 5[/tex]
Rounded to the nearest tenth, what is the perimeter of rectangle ABCD?
A.
48.3 cm
B.
54.6 cm
C.
60.0 cm
D.
173.2 cm
54.6 cm
Step-by-step explanation:Hi there !
T30° => AD = AC/2 = 20cm/2 = 10 cm
T.Phytagoras
CD = √AC² - AD²
= √20² - 10²
= √400-100
= √300
= 10√3
= 10×1.73
= 17.3 cm
P = 2AD + 2CD
= 2×10cm + 2×17.3cm
= 20cm + 34.6cm
= 54.6 cm
Good luck !
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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Bill is a builder.
On Monday he made mortar mix.
He used 24kg of sand and 5 kg of cement.
On Tuesday Bill will make the same type of mortar mix.
He will use 36 kg of sand.
How much cement does he need to make the same type of mortar mix?
Answer:
7.5 kg
Step-by-step explanation:
24 : 5
36 : x
x = 5 × 36 / 24
= 7.5 kg
Bill needs 7.5 kg of cement
Monday:
Sand = 24 kg
Cement = 5 kg
Tuesday:
Sand = 36 kg
Cement = x kg
Ratio of sand to cement
24 : 5 = 36 : x
24/5 = 36/x
Cross product
24 * x = 5 * 36
24x = 180
x = 180/24
x = 7.5 kg
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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:
Kelly made six batches of cookies his friends asked her to make an extra batch she’s 17 1/4 cups of sugar and needed another 7/8 cups for the extra batch how many cups of sugar will Kelly use all together
Answer:
18 1/8
Step-by-step explanation:
Hats cost $4 each while scarves cost $3 each. John buys 5 items (all hats and scarves) and spends a total of $17. How many hats did he buy?
Answer:
2 hats
Step-by-step explanation:
4+4+3+3+3=17
Each hat costs $4 and each scarf costs $3.
He bought 5 items. Two of those items were hats.
The rest were scarfs.
The number of hats bought by John are 3
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let the hat is represented by x
scarves is denoted by y
Hats cost $4 each while scarves cost $3 each
John buys 5 items and spends a total of $17.
We need to find the number of hats.
3x+4y=17..(1)
x+y=5..(2)
x=5-y
Subtract x value in equation 1
3(5-y)+4y=17
Apply distributive property
15-3y+4y=17
15+y=17
Subtract 15 on both sides
y=2
x+2=5
x=3
Hence, the number of hats bought by John are 3
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On a number line, how are the locations of 9 and -9 related?
A.
The two numbers are opposites in value and lie in opposite direction on the number line.
B.
The two numbers are opposites in value and they lie in the same direction on a number line.
C.
The two numbers are equal in value and lie in opposite direction on the number line.
D.
The two numbers are equal in value and they lie in the same direction on a number line.
Answer:
none.
Step-by-step explanation:
how can you like put a subtract sign next to a number like lol!! how does it make sence!?!? i think the CORRECT answer is apple bobbing. i think this because when you apple bob for 9 apples it like subtracts it from the apple water!! currently crying because your question doesnt make sence like its obv apple bobing
A taxi driver charges a fee if $4 plus 1.50 per mile. If you total was $13 how manu miles did you take
Answer:
6
Step-by-step explanation:
you need to do this (13-4)/1.50
Domain range and function
Identify the x- and y- intercept of the graph of the equation -3x + 6y = 24
Answer: x- intercept (0,-8)
Y- intercept (4,0)
Step-by-step explanation: