Johnny Appleseed was creating a fractal tree design:
The first tree, (a1), only has 1 leaf (the green point). The second tree, (a2), has leaves. The third tree, (a3), has 7 total leaves. How many total leaves will be on the 7th tree?
a) 63
b) 127
c) 128
d) 256
Answers
Answer:
The total leaves on the 7th tree is, 127.
Explanation:
Definition of sequence and series:A sequence is defined as a set of integers arranged in a specific order. A series, on the other hand, is defined as the sum of a sequence's elements.
Step by step:
The total leave will be on 7th tree are calculated.
Multiply term 2 and add term 1, to get the next digit.
According, to the question:
[tex]1[/tex]×[tex]2+1=3[/tex]
[tex]3[/tex]×[tex]2+1=7[/tex]
[tex]7[/tex]×[tex]2+1=15[/tex]
[tex]15[/tex]×[tex]2+1=31[/tex]
[tex]31[/tex]×[tex]2+1=63[/tex]
[tex]63[/tex]×[tex]2+1=127[/tex]
Hence, the 7th tree will have a total of 127 leaves.
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Related Questions
You are in a 12-member panel. If two people from the panel are selected to represent the panel, what is the probability you
Answers
This question is incomplete, the complete question is;
You are in a 12-member panel. If two people from the panel are selected to represent the panel, what is the probability you wont be selected.
[ Two decimal places ]
Answer:
The probability that you be selected is 0.83
Step-by-step explanation:
Given the data in the question;
total number of people in the panel = 12
number of people to be selected from the panel = 2
probability you wont be selected = ?
Number of ways of selecting 2 people from the 12 member panel is;
⇒ ¹²C₂ = 12! / ( 2!( 12 - 2 )! ) = 479001600 / 7257600 = 66
so total number of outcome = 66
Now, number of ways in favor of selecting you and another person from the 12 member panel is;
⇒ ¹C₁ × ¹¹C₁ = [1! / ( 1!( 1 - 1 )! )] × [11! / ( 1!( 11 - 1 )! )] = 1 × 11 = 11
so favorable number of outcome = 11
∴ Probability of selecting you in the panel will be;
⇒ favorable number of outcome / total number of outcome
⇒ 11 / 66 = 1/6
Now, Probability of not selecting you in the panel will be;
⇒ 1 - Probability of selecting you in the panel
⇒ 1 - 1/6
⇒ 0.83
Therefore, The probability that you be selected is 0.83
what number is greater than 6 but less than 7? 20 40 60 or 80
Answers
6.5 or 65 :ppppppp I get those goosebumps every time
What equation is represented by this graph?
Answers
Answer:
y= 1.2x+1
Step-by-step explanation:
(0,1) and (-5,-5) are coordinates that you already know and are fs about. So you just see rise over run. 6/5 = 1.2 which is your slope. the y-int is 1 bc thats where it intersects. so your equation is y=1.2x+1
double check:
y = 1.2(-5) + 1
y = -6 + 1
y = -5
coordinates : (-5,-5)
The population of New York City is 23,945. Eastdale has a population of 12,774 What is the total population of the two communities
A.35,719
B. 36,619
C. 36,719
D. 37,619
Answers
37,619
I hope that this helps you and please mark me as the brainliest.
Triangle AA'B'C' is the image of AABC under a rotation about point P.
Answers
A [?] degrees
B 43°
C 15°
What is the measure of A?
Answers
Find the total area:
Answers
Answer:
518 cm squared
Step-by-step explanation:
Answer:
518 cm²
Step-by-step explanation:
First, we can split the shape into two parts.
The first part will be 8+22(which is the width)x13(29-16, which is the height). This gives us:
30x13=390 cm²
Now, for the next part, we have 8(width)x16(height), which gives us:
8x16=128 cm²
Finally, we add 128+390=518cm²
please help
Find the missing side of this right
triangle.
21
х
15
X =
= V[?]
Answers
Answer:
216
Step-by-step explanation:
^
NEED ANSWER ASAP,BRAINLIEST FOR CORRECT ANSWER. IM FAILING SCHOOL
Answers
Answer:
angle b= 86 degrees
Step-by-step explanation:
hope this helps, have a nice day :)
Please help Me ASAP Please
Answers
Answer:
217/31=7. He needs to run 7 miles per day.
The graph of g is a translation 3 units up, followed by a reflection in the x-axis of the graph of
f(x) = 2 sin x. Which rule represents g?
Answers
Answer: NO GRAPH DUMMY
Step-by-step explanation:
159. Three percent size is the size
Answers
I have $20 in my investment account if i save $5 each week how much money will I have in the account after 9 weeks? solve using an algebraic equation
Answers
Answer:
$135.
Step-by-step explanation:
please click the heart and rate excellent and brainleist to☻❤☺️☺️❤☻
Lines AB and XY are best described as which of the following?
A
BO
A. Perpendicular segments
B. Perpendicular rays
ОООО
C. Parallel lines
D. Perpendicular lines
Answers
Lines AB and XY best describe the perpendicular segments. The correct option is A.
What is a line segment?A line segment in geometry is a section of a line that has two clearly defined endpoints and contains every point on the line that lies within its confines.
A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
Lines AB and XY best describe the perpendicular segments. AS they are cutting each other at 90 degrees.
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PLEASE HELP ME AS SOON AS POSSIBLE!!!!!! FIVE AND SIX PLEASE
Answers
Answer:
5 infinitely
6 i think its 2
Step-by-step explanation:
bill,bob,and joe each have 9 oranges. Then a stranger gave Tim 4 oranges. He then gave 3 to his mother.
Answers
Hopefully this helped you out
jimmy made a circle graph illustrating the results of a survey he took to find the favorite subject of the students in his seventh grade class which subject was chosen as a favorite by exactly 20% of the students
Answers
Answer:
Physical education
Step-by-step explanation:
The subject chosen as a favorite by exactly 20% of the students is maths.
What is a percentage?The percentage means the required value out of 100.
It is calculated by dividing the required value by the total value and multiplying it by 100.
The percentage change is also calculated using the same method.
In percentage change, we find the difference between the values given.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
From the circle graph,
Maths = 20%
English = 25%
Hindi = 10%
Science = 45%
We see that,
The subject was chosen as a favorite by exactly 20% of the students in maths.
Thus,
The subject was chosen as a favorite by exactly 20% of the students in maths.
Learn more about percentages here:
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if t=2, what is √18t?
Answers
Answer:
s
Step-by-step explanation:
5.5~
Answer:
8.48528137 I think
-10a×4b+20a^2b+4ab-6ab
Answers
Step-by-step explanation:
-10a×4b+20a^2b-2ab
-40ab+20a^2b-2ab
-42ab+20a^2b Answer
I'm not sure...
Please help i would really appricate it.
A) (5,-4)
(2,0)
(7,1)
N) (5,-4)
(2,0)
(7,1)
T) (5,-4)
(2,0)
(7,1)
Answers
A(2,0) N(7,1) T(5, -4)
<3
g Refer to the Environmental Geology (Vol.58, 2009) simulation study of how far a block from a collapsing rockwall will bounce down a soil solpe. Rebound lengths (in meters) were estimated for 13 rock bounces. The data are presented below. Consider a test of hypothesis for the variation in rebound lengths for the theoretical population of rock bounces form the collapsing rockwall. In particular, a geologist wants to determine if the variance differs from 10 m 2. 10.94 13.71 11.38 7.26 17.83 11.92 11.87 5.44 13.35 4.90 5.85 5.10 6.77 a. Specify the null and alternative hypotheses. Be sure to define the parameter used in your hypotheses. b. Compute the value of the test statistic. c. Determine the rejection region for the test using alpha
Answers
Answer:
H0 : σ² = 10
H1 : σ² ≠ 10
X² = 20.124
Pvalue = 0.064776
there is significant evidence to conclude that the rebound lengtb of rockfall down a slope is not 10m²
Step-by-step explanation:
Given the data:
10.94 13.71 11.38 7.26 17.83 11.92 11.87 5.44 13.35 4.90 5.85 5.10 6.77
Using a calculator ;
The sample variance, s² = 16.77
α = 0.10
The null and alternative hypothesis :
H0 : σ² = 10
H1 : σ² ≠ 10
The test statistic :
X² = [(n - 1)*s² ÷ σ²]
s² = 16.77
n = sample size = 13 ; s²
X² = [(13 -1)*16.77 ÷ 10
X² = (12 * 16.77) / 10
X² = 201.24 / 10
X² = 20.124
The Pvalue using a Pvalue calculator ; degree of freedom (df) = 13 - 1 = 12
Pvalue = 0.064776
Pvalue < α ; Hence we reject the null
Hence, there is significant evidence to conclude that the rebound lengtb of rockfall down a slope is not 10m²
Find the probability that a randomly selected point within the white area r=4
Answers
Answer:
0.25
Step-by-step explanation:
It is felt that respondents are more likely to be honest when a randomized response survey is used. Subsequently, a substance-abuse prevention program at a university has designed and distributed the following questionnaire to all the employees and students: Flip a coin. If the coin comes up heads, answer Question a; if tails, answer Question b. All answers are anonymous. a. Do you carpool to the school
Answers
Answer:
hello your question is incomplete below is the complete question
answer : 18%
Step-by-step explanation:
x = percentage using illicit drugs
sample size = 5000
number of persons with a yes = 1200
also management knows that 30% uses carpool
∴P ( yes ) = P( H and yes to carpool ) + P( T and yes to illicit drug use )
1200 / 5000 = (0.5 * 0.3 ) + ( 0.5 * x )
0.24 = 0.15 + 0.5 x
hence x ( percentage using illicit drug ) = ( 0.24 - 0.15) / 0.5 = 0.18 = 18%
Can someone help me please???
Answers
Answer:
Ummmm. I am going to say it is the 1st one??
Step-by-step explanation:
Answer:
The last one!
Step-by-step explanation:
Find the missing side of this right
triangle.
x
7
14
x= [?]
Enter the number that belongs in the green box.
Answers
Answer:
By Pythagoras theorem
x² = 7² + 14²
x² = 49 + 196
x² = 245
X = square root of 245
245 is number that belongs to the green box
The missing side of the right triangle is √245. The number that belongs in the green box is 245
Calculating the side length of a triangleFrom the question, we are to determine the missing side of the given triangle
The missing side of the triangle can be determined by using Pythagoras' theorem
The theorem states that, in a right angle triangle
c² = a² + b²
Where c is the length of the longest side (hypotenuse)
and a & b are the other two sides
From the given information,
Hyp = x;
Let a = 7 and b = 14
∴ x² = 7² + 14²
x² = 49 + 196
x² = 245
x = √245
Heence, the missing side of the right triangle is √245. The number that belongs in the green box is 245.
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Find the surface area of the prism.2001
1
1
.5 in.
3 in.
8 in.
Enter only the numerical value with the units of measure.
Answers
Parker paid $4.50 for three pounds of gummy candy. Assuming each pound of gummy candy costs the same amount, how much is 5 pounds of gummy candy?
Answers
Answer:
$7.5
Step-by-step explanation:
Cost of 5 pounds of gummy
=$(4.5/3)(5)
=$7.5
−2x + 6y = 3 HOW MANY SOLUTIONS?
x − 3y = −3
The system has ....
solution(s).
Answers
Answer:
there are about 2-3 possible solution
Step-by-step explanation:
keep practicing , all will be well
four hundred and seventy five learners need to be transported by buses to the athletics track . How many buses are required if 65 learners can fit into each bus ?
Answers
Answer:
you are going to need 7
The figure below is a scale drawing of a
rectangular ball room. The scale is 2 cm:4
m.
6 cm.
12 cm.
What is the area of the actual room?
A. 72 m²
B. 144 m2
C. 288 m
D. 576 m
Answers
Answer:
Area of the actual room = 288 m²
Step-by-step explanation:
Given:
Scale factor = 2cm to 4 m
Dimension of rectangle ball room = 6 cm and 12 cm
Find:
Area of the actual room
Computation:
Actual dimension of rectangle ball room;
⇒ [6/2]4 = 12 m
⇒ [12/2]4 = 24 m
Area of rectangle = Length x Width
⇒ Area of the actual room = Actual length x Actual width
⇒ Area of the actual room = 12 x 24
Area of the actual room = 288 m²