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
ASAP! I will give branilest!
1. Based on the information in the table, is the cost of the apples proportional to the weight of apples? Yes/No
pounds of apples cost of apples
2 $3.76
3 $5.64
4 $7.52
5 $9.40
2. Base on the information in the table, is the cost of the pizza proportional to the number of toppings? Yes/No
number of toppings cost of pizza
2 $11.99
3 $13.49
4 $14.99
5 $16.49
3. Write an equation for the table that represents a proportional relationship.
c =
1.50 or 1.88
3A. Use the following variables to help in your equation:
Is A the answer or T
a is for pounds of apples
t is for number of toppings
Answer: 1. No 2. Yes 3. 1.88
Step-by-step explanation:
A graph titled Calories in Strawberries. The x-axis shows the number of strawberries, numbered 1 to 9, and the y-axis shows the number of calories, numbered 3 to 27. A straight line with a positive slope begins at point (0, 0) and ends at point (6.8, 27). The graph shows the relationship between the number of strawberries eaten and the approximate number of calories consumed. Which statement is true? Each strawberry contains 4 calories. Each strawberry contains 3 calories. Twenty-four strawberries contain 6 calories. Four strawberries contain 15 calories
Answer:
the answer is edge 2020 A
Step-by-step explanation:
each strawberry contains four calories
gaming legend
Answer:
Its A
Step-by-step explanation:
got it right on Edge
What is the line of reflection between pentagons PQRST and P′Q′R′S′T′?
A. x = 0
B. y = x
C. y = 0
D. x = 1
Answer:
b
Step-by-step explanation:
Answer: D: y = 0
Step-by-step explanation: Hope that helped
10 5/18 - 8 5/6
plzzzzzz helpppppp
Answer:
-5/9
Step-by-step explanation:
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(518×11)−(56×33)=?
Complete the multiplication and the equation becomes
518−1518=?
The two fractions now have like denominators so you can subtract the numerators.
Then:
5−1518=−1018
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 10 and 18 using
GCF(10,18) = 2
−10÷218÷2=−59
Therefore:
518−56=−59
Which term describes the relationship between L A and 2 B, if the m LA= 84º and m 2 B = 96º7
A
vertical
В.
adjacent
С
supplementary
D
complementary
Answer:
Supplementary
Step-by-step explanation:
84 plus 96 equals 180 degrees
supplementary angles are angles that add up to 180 so their relationship is supplementary
5(r-10)=51 what is r equal to?
Answer:
r=20.2
Step-by-step explanation:
students at Freeman Middle School have a choice of water milk or juice for breakfast from a survey it was determined that 50 students prefer water 100 prefer juice and 150 prefer milk. you want to know the probability that exactly 3 of 4 randomly selected students do not prefer water how could you model the scenario? This scenario can be simulated by Rolling a six-sided die (A 3 B 4 C 5 D 6 E 7 times). The (A numbers 0 to 3 B numbers 0 to 6 C number 1 D numbers 7 to 9 ) would represent students who prefer water if a number (A 0 to 3 B 0 to 6 C 1 D 7 to 9) appears only once in a set of outcomes then it will mean that three of four randomly picked students do not prefer water in that set .
Answer:
The probability that exactly three of four randomly selected students that do not prefer water is; P=125/1296= 0.096
Step-by-step explanation:
Hope this helps
The required probability that exactly 3 of 4 randomly selected students do not prefer water is 0.096.
Given that,
Students at Freeman Middle School have a choice of water milk or juice for breakfast.
From a survey, it was determined that 50 students prefer water 100 prefer juice, and 150 prefer milk.
Probability can be defined as the ratio of favorable outcomes to the total number of events.
the probability that selected students to prefer water.
Total sample space = 300
Total desired events = 50
Pw = 50 / 300 = 1/6
the probability that selected students do not prefer water
Total sample space = 300
Total desired events = 100+150 = 250
Pmj = (250)/300
= 5/6
The probability for exactly 3 of 4 randomly selected students do not prefer water can be given as,
Preq = Pmj.Pmj.Pmj.Pw
Preq = (5/6)^3 × 1/6
Preq= 125/1296
= 0.096
Thus, the required probability that exactly 3 of 4 randomly selected students do not prefer water is 0.096.
Learn more about probability here:
brainly.com/question/14290572
#SPJ2
A diagram of a swimming pool is shown.
3.5 m
What is the approximate circumference of the swimming pool? Use 3.14 as an estimate for t.
Ο Α. 7 m
Ο Β. 11 m
Ο Ο Ο Ο
Ο C. 22 η
O D. 28 m
Answer:
B. 11
Step-by-step explanation:
Im good with a Scientific calculator.
The sides of a rectangle are in the ratio 4:7.
If its longer side is 31.5 in., find the shorter side, the perimeter, and the area of this rectangle.
Thank you!
Answer:
58586
Step-by-step explanation:
gckhgcklghckhgchkc
Can anyone help me solve for x and y
x = 24, y = 120
if you disagree tell me, I just substituted values.
Step-by-step explanation:
10. (6x - 7)° + (3x - 29)° = 180°
i.e they are co-interior angles:
6x + 3x - 7 - 29 = 180°
9x - 36° = 180°
9x = 216°
x = 24.
(6x - 7)° = (8y + 17)°
i.e they are vertically opposite angles;
but x = 24.
6(24) - 7 = 8y + 17
144 - 7 = 8y + 17
120 = 8y
y = 15
11. (9x + 25)° = (13x - 19)°
i.e they are corresponding angles;
25 + 19 = 13x - 9x
44 = 4x
x = 11
(13x - 19)° + (17y + 5)° = 180°
i.e they are adjacent angles;
but x = 11
13(11) - 19 +5 + 17y = 180
17y = 180 - 129
17y = 51
y = 3
guys help me 3(x−4)≥−2x+3
Answer:
sensya na bobo den ako e✌
(Score for Question 1: ___ of 6 points)
Refer to the equation 4x+3y=24
A Complete the table of values for at least 2 points. Show your work.
B How did you find these two values? Answer in complete sentences.
C Use the table of values to graph the line.
You must complete all parts to receive full credit.
Answer:
x y
(Score for Question 2: ___ of 5 points)
if I walk 125 steps in a minute what would my walking rate per minute be
Answer:
um 125? Is this a joke ??????
what is the answer to this question?
Answer:
1st box
3rd box
5th Box
Step-by-step explanation:
For the first equation, you have to move the decimal place 11 places to the right.
For the second equation, you have to move the decimal 13 places to the right.
-tell me if I'm wrong
If f(x) = 3x2 + 2x - 2, find f(8) - f(-5)
Answer: 143
Step-by-step explanation:
f(8) = 3(8)^2 + 2*8 - 2 = 3*64 + 16 - 2 = 192 + 16 - 2 = 206
f(-5) = 3(-5)^2 + 2*(-5) - 2 = 3*25 + (-10) -2 = 75 - 10 - 2 = 63
f(8) - f(-5) = 206 - 63 = 143
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°.
In a test of a printed circuit board using a random test pattern, an array of 14 bits is equally likely to be 0 or 1. Assume the bits are independent.
(a) What is the probability that all bits are 1s? Round your answer to six decimal places (e.g. 98.765432). Enter your answer in accordance to the item a) of the question statement
(b) What is the probability that all bits are 0s? Round your answer to six decimal places (e.g. 98.765432). Enter your answer in accordance to the item b) of the question statement
(c) What is the probability that exactly 7 bits are 1s and 7 bits are 0s? Round your answer to three decimal places (e.g. 98.765). Enter your answer in accordance to the item c) of the question statement
Answer:
(a) 0.000061
(b) 0.000061
(c) 0.209
Step-by-step explanation:
An array of 14 bits is equally likely to be 0 or 1.
That is, P (0) = P (1) = 0.50.
(a)
Compute the probability that all bits are 1s as follows:
[tex]P(\text{All bits are 1s})=[P(1)]^{14}[/tex] ∵ the bits are independent
[tex]=(0.50)^{14}\\=0.00006103515625\\\approx 0.000061[/tex]
Thus, the probability that all bits are 1s is 0.000061.
(b)
Compute the probability that all bits are 0s as follows:
[tex]P(\text{All bits are 0s})=[P(0)]^{14}[/tex] ∵ the bits are independent
[tex]=(0.50)^{14}\\=0.00006103515625\\\approx 0.000061[/tex]
Thus, the probability that all bits are 0s is 0.000061.
(c)
Compute the probability that exactly 7 bits are 1s and 7 bits are 0s as follows:
Define X as the number of bits that 1s.
Then the random variable X will follows a binomial distribution with parameters n = 14 and p = 0.50.
The value of P (X = 7) is:
[tex]P(X=7)={14\choose 7}(0.50)^{7}(1-0.50)^{14-7}[/tex]
[tex]=\frac{14!}{7!\times 7!}\times (0.50)^{14}\\\\=3432\times 0.000061\\\\=0.209352\\\\\approx 0.209[/tex]
Thus, the probability that exactly 7 bits are 1s and 7 bits are 0s is 0.209.
Which inequality has -25 in its solution set?
y + 11 > -9
y - 17 Less-than-or-equal-to -46
30 Less-than-or-equal-to y + 5
y + 20 > -30
Answer: the first option is correct
Y+ 11> -9 this answer is most likely right.
Step-by-step explanation: -25 + 11 = 14 so that makes it bigger that -9 and that it has -25 in the solution set. Let me know if this is for Edmonton.
Answer:
It was D
Step-by-step explanation:
I need help I don’t understand my teacher and I have to find the slope of those
Answer:
#7:[tex]y=\frac{4}{7} x-\frac{54}{7}[/tex]
Slope: 4/7
Step-by-step explanation:
First off you need to graph these equation on a graph i recommend using Desmos, it is free you can search it up. After you graph you need to focus on rise/run. this is simple, count how many times you go up before you reach the point diagnolly, then go over however many until you reach the point. Write it in a fraction such as, 2/1, this would be your slope, 2.
I hope this helps!
3 + 8 + 6 + 6 + 6 = 58 + 6
How do we solve this
Answer:
93
Step-by-step explanation:
I’m not sure how to answer this
Answer: 16 numbers apart from eachother ON the line
Step-by-step explanation:
Please help me if you know the correct answer, thank you
9515 1404 393
Answer:
Option 4Option 1no solutionStep-by-step explanation:
1. The system is represented by the matrix that has the coefficients in the left three columns and the constants in the rightmost column. Values and signs must match. Only Option 4 makes any sense in this context.
__
2. In the first equation, the y-term has a coefficient of 0. (There is no y-term.) The only matrix choice with a coefficient of 0 in the second column of the first row is Option 1.
__
3. Parallel lines do not intersect, so there can be no solution.
Hope is n years old. Interpret the following expression if the expression represents Hunter's age.
3n -8
A.
Hunter is 8 years younger than Hope's age.
B.
Hunter is 8 years older than 3 more than Hope's age.
C.
Hunter is 8 years younger than 3 times Hope's age.
D.
Hunter is 8 years older than 3 times Hope's age.
Answer:
its A and B
Step-by-step explanation:
Because if you do the opposite of subtracting is adding so that means you add 8 to 3 which equals to 11 years old.
so that means Hope is 11 years old
Jane wants to buy carpet for her room measuring 400 square feet. She purchased carpet that costs $20 per square yard. How much will it cost to have her room carpeted? (1 square yard = 9 square feet) Explain how you solved it.
Answer:
About $888.88
Step-by-step explanation:
divide 400 by 9 to get the total number of how much square yards she needs
400/9 = 44.44444444
Multiply 44.44444444 with $20 to get the amount which is about 888.88
what is the denominator of 7/2 and 1/2?
9514 1404 393
Answer:
the denominator of each fraction is 2
Step-by-step explanation:
The numerator of a fraction is the number above the fraction bar; the denominator is the number below the fraction bar. In the fraction ...
[tex]\dfrac{7}{2}[/tex]
the numerator is 7, and the denominator is 2.
__
Similarly, the number 2 is below the fraction bar and is the denominator in the fraction ...
[tex]\dfrac{1}{2}[/tex]
The numerator is 1, and the denominator is 2.
_____
The denominators of both of these fractions are 2. Since they are both the same, that value (2) can be used as the common denominator of the sum or difference of these fractions:
[tex]\dfrac{7}{2}+\dfrac{1}{2}=\dfrac{7+1}{2}\qquad\text{or}\qquad\dfrac{7}{2}-\dfrac{1}{2}=\dfrac{7-1}{2}[/tex]
Angle A 5x - 5 angle b = 3x + 13 what is angle b
Answer:
Step-by-step explanation:
do you mean what is c?
f(x)=3x^2+6x-18 , find f(10)
Answer:
f(10)=342
Step-by-step explanation:
f(10)= 3(10)^2+6(10)-18
complete your exponet first and multiply 6(10)
f(10)=3(100)+60-18
multiply the 3(100)
f(10)=300+60-18
add and subtract all the numbers together
f(10)=342
A cab company charges a $3 flat rate in addition to $1.50 per mile what will represent the x axis
A 33 pound bag of grass seed holds 2 pounds less than 5 smaller bags of seed. Find the weight of the smaller bag of seed.
Answer:
7 pounds
Step-by-step explanation:
33+2=35....35/5=7
Answer:
The answer is 7.
Step-by-step explanation:
33 + 2 = 35
35 ÷ 5 = 7
How do we use the question as the example
Answer:
what question
Step-by-step explanation: