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.
To know more about sequence and series here, https://brainly.com/question/7882626
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Related Questions
help please. Harry has raised $276 by selling 23 equally priced boxes of apples for the choir fund-raiser. Which of the following equations can be used to find the price, x, of each box of apples?
x − 23 = 276
x + 23 = 276
23x = 276
x ÷ 23 = 276
Answers
Answer:
The 3rd option
Step-by-step explanation:
If we find X then this would become a Mult. problem
because when there’s an x attached to a number it means to divide by that number on both sides
hope this helps
for each of the figures write an absolute value equation to satisfy the given solution set
5 and 17
Answers
Answer:
|x-11|=6
hope this helps
Step-by-step explanation:
If 20 out of 25 students in a P.E. class are boys, what percent of the class is made up of boys?
Answers
hope this helps
Anyone know how to answer this question
Answers
9514 1404 393
Answer:
(x +6)^2 +(y -10)^2 = 225
Step-by-step explanation:
The standard form equation for a circle is ...
(x -h)^2 + (y -k)^2 = r^2
where the center is (h, k) and the radius is r.
The center of a circle is the midpoint of any diameter. The midpoint between two points is the average of their coordinates.
((-15, -2) +(3, 22))/2 = (-15+3, -2+22)/2 = (-6, 10)
The radius can be found using the distance formula, or by simply putting one of the given points in the equation for the circle to see what the constant (r^2) needs to be.
(x -(-6))^2 +(y -10)^2 = (-15-(-6))^2 +(-2-10)^2
(x +6)^2 +(y -10)^2 = 81 +144 = 225
The equation of the circle is ...
(x +6)^2 +(y -10)^2 = 225
sorry for the bad picture. I’m confused on how to solve this as it feels like I don’t have all the information needed.
Answers
Solution solved below plus sorry for the bad writing.
No
© A
A cube
side 4cm has the same
as a cone with diameter 7cm. calculate
correct to the nearest cm,
the
گج
the height
heig
cone,
Answers
Point L is located at (-3,-6) where is L after a reflection over the y-axis
Answers
9514 1404 393
Answer:
L'(3, -6)
Step-by-step explanation:
The reflection over the y-axis is modeled by the transformation ...
(x, y) ⇒ (-x, y)
L(-3, -6) ⇒ L'(3, -6)
Point L is located at (3, -6) after the reflection from the 3rd quadrant to the 4th quadrant across the y-axis.
Find the side length of a square with an area of 1521 m².
Answers
Answer:
39
Step-by-step explanation:
a=A=1521=39
ILL GIVE BRAINLYIST TO WHOEVER ANSWERS THIS RIGHTTT PLEASE HELP
Answers
Answer:
128
Step-by-step explanation:
Do 10*8=80
8*6=38 48/2=24
80+24+24
104+24
128
Do think it is A, B, C, D?
Answers
Answer:
D
Step-by-step explanation:
the 80*10=800
8 in 183= 80
8 in 4879 = 800
How do I solve this???
Answers
Answer:
Step-by-step explanation:
PLEASE HELP 25 POINTS
The topographic map shows the location of a park ranger at Point X when a message is received that an injured hiker needs help at Point Z.
Which answer correctly identifies the elevations of both points on the map?
Point X= 1500m, Point Z= 2000m
Point X= 1550m, Point Z= 1600m
Point X= 1600m, Point Z= 2050m
Point X= 2050m, Point Z= 1600m
Answers
Answer:Point X= 1600m, Point Z= 2050m
Step-by-step explanation:
9)
5.6 yd
5 yd
12 yd
Find the area. (A = 1/2 ( 61 + b2) h)
Answers
Answer:
Area, A = 63.6 square yards
Step-by-step explanation:
A trapezoid refers to a quadrilateral that is convex in shape; as such it has no equal sides and no parallel sides.
Let the height of a trapezoid be h.
Let the top base of a trapezoid be b1.
Let the bottom base of a trapezoid be b2.
[tex] Area \; of \; trapezoid = \frac {1}{2} * (Sum \; of \; nonparallel \; sides) * height [/tex]
Therefore, [tex] Area \; of \; trapezoid = \frac {1}{2} * (b_{1} + b_{2}) * h [/tex]
Given the following data;
Length, b1 = 5 yards
Width, b2 = 5.6 yards
Height, h = 12 yard
To find the area of geometrical shape (trapezoid), we would use the above formula;
A = 1/2 (b1 + b2) * h
Substituting into the formula, we have;
A = ½ * (5 + 5.6) * 12
A = ½ * (10.6)*12
A = 5.3 * 12
Area, A = 63.6 square yards
4) What is the perimeter of a square that has an area of 262.44 feet?
Answers
Answer:
64.8 ft
Step-by-step explanation:
A square has all its sides equal
Therefore to get one side from its area is simply finding the square root of its area
√262.44=16.2ft
Having the one side then perimeter= to the four equal sides × the dimensions of one side
=4×16.2
=64.8 ft
Les 2/3 de 9Litres ?
Answers
Answer:
6 litres
Step-by-step explanation:
9:3=3
2×3=6
therefore the answer is 6.
Try to find this answer! Thank you!
Answers
A bike has a diameter of 10 in. What is the circumference of the wheel?
Answers
whats the absolute value of 23
Answers
the absolute value is its opposite
Answer:
-23
Step-by-step explanation:
HELP DUE ASAP PLEASE!! X.
Y.
10
3 4 5 6 7 8 9
SELECT ALL THAT APPLY for the box plots above.
the first quartile has a greater spread for box plot x than the spread in the first quartile for
box ploty
25% of the data is greater than 7.5 for box plot x and 50% greater for box ploty
the medians have the same value for both box plots
the median for box plot x has the same value as the lower quartile of box ploty
Answers
Answer:
D. The median for box plot X is the same as the lower quartile as box plot Y.
Step-by-step explanation:
If you look at box plot X, its median is at 6. Also, the lower quartile for box plot Y is 6 as well. That means that D. is the correct answer. Hope this helps!
Answer:
Below
Step-by-step explanation:
I'm pretty sure it may be B, and D
D because when you look at it X's plot does have the median line up with Y's Lower quartile
And using the rule of crossing out answers that are incorrect I am left with B, because the medians and different and X's lower quartile is smaller than Y's
100Points! show work
Answers
Using angle sum property
[tex]\\ \sf\longmapsto x+43+73+70=180[/tex]
[tex]\\ \sf\longmapsto x+43+143=180[/tex]
[tex]\\ \sf\longmapsto x+186=180[/tex]
[tex]\\ \sf\longmapsto x=180-186[/tex]
[tex]\\ \sf\longmapsto x=-6[/tex]
Option C is correct
Sum of angles of any triangle is 180°
x+43+73+70=180x+186=180x=180-186x=-6Option C
Determine whether the figure has line, point, and/or rotational symmetry.
Answers
Answer: do you have a picure to go with it sorry im not getting it?
Step-by-step explanation:
What is the length of missing side Y Options are on photo
Answers
Answer:
The selected answer is correct (8 cm)
Step-by-step explanation:
So in this problem
we are given that the total length of the composite figure is 14 cm (this including the rectangle's length and the triangle's base length)
We also happen to be given the rectangles length
So we can find the triangles base length by subtracting the total length of the figure by the length of the rectangle
Triangle base length = 14 cm - 6 cm
14 - 6 = 8
Hence the answer is 8 cm
The cost of 4 pounds of potatoes is $3.56. What is the constant of proportionality that relates the cost in dollars, y, to the number of pounds of potatoes, x? A $0.89 A $0.89 B $1.12 B $1.12 C $8.90 C $8.90 D $1.02
Answers
Answer:
A. $0.89
Step-by-step explanation:
To find the constant of proportionality, find the cost of one pound of potatoes
3.56/4
= 0.89
So, the constant of proportionality is $0.89
The correct answer is A. $0.89
Explain why the two triangles below are similar by writing the appropriate similarity theorem. Then find x. Round your answer to the nearest tenth. (example answer ---> SSS,9.2 ---> no spaces)
Answers
Answer:
SSS Theorem
[tex]x = 35.7[/tex]
Step-by-step explanation:
Given
The attached triangle
Solving (a) The similarity theorem
The given sides of the triangle are similar.
In other words, they are similar by sides.
Hence, the theorem is: SSS
Solving (b): Find x
To find x, we make use of the following equivalent ratios.
[tex]\frac{14}{25} = \frac{14+6}{x}[/tex]
This gives:
[tex]\frac{14}{25} = \frac{20}{x}[/tex]
Cross multiply
[tex]14 * x = 20 * 25[/tex]
[tex]14 * x = 500[/tex]
Solve for x
[tex]x = \frac{500}{14}[/tex]
[tex]x = 35.7[/tex] -- approximated
solve the inequality and specify the answer
1-3x [tex]\leq[/tex]0
Interval notation
Answers
Step-by-step explanation:
hope it helps
see attached
2+4(x+1)-x
2+4x+-x
6+4x-x
6+3x
Answers
Answer:
What is your question
Step-by-step explanation:
Past surveys reveal the 30% of tourists going to Las Vegas to gamble spend more than $1,000. The Visitor's Bureau of Las Vegas wants to update this percentage. The new study is to use the 90% confidence level. The estimate is to be within 1% of the population proportion. What is the necessary sample size?
Answers
Answer:
The necessary sample size is of 5683.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
Past surveys reveal the 30% of tourists going to Las Vegas to gamble spend more than $1,000.
This means that [tex]\pi = 0.3[/tex]
The estimate is to be within 1% of the population proportion. What is the necessary sample size?
A sample size of n is necessary. n is found when [tex]M = 0.01[/tex]. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.01 = 1.645\sqrt{\frac{0.3*0.7}{n}}[/tex]
[tex]0.01\sqrt{n} = 1.645\sqrt{0.3*0.7}[/tex]
[tex]\sqrt{n} = \frac{1.645\sqrt{0.3*0.7}}{0.01}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.645\sqrt{0.3*0.7}}{0.01})^2[/tex]
[tex]n = 5682.6[/tex]
Rounding up:
The necessary sample size is of 5683.
The teachers at Eastside High School were asked the number of years they have been teaching. The results are as follows.
3, 4, 9, 12, 7, 5, 4, 12, 3, 9, 11, 4, 14, 9, 2, 10, 3, 10, 9, 7
Use the data to fill in the box-and-whisker plot below.
Answers
Answer:
I'm not your Slave
Step-by-step explanation:
do it yourself
If n12=1536
then n=
Hellllllllllllllppppp
Answers
Answer:
this should help you understand...
Step-by-step explanation:
Plz help me by solving this problem and showing how you got it
Answers
Answer:
y =84
Step-by-step explanation:
25/100*Y = 21
100/25 * 25y/100 =21 *100/25
y = 2100/25
y = 84
Steps:
25% of blank is 21
Of means multiply
Is means equals
To change a percent to a decimal move the decimal place tow spots to the left
25% of blank is 21
25% * x = 21
0.25 * x = 21
x = 21 / 0.25
x = 84
Check:
0.25 * x = 21
0.25 * 84 = 21
21 = 21 ✅
If this was helpful and correct I would appreciate the brainliest! :)