Here is a binary search tree for those words in alphabetical order:
the
/ \
dog fox
/ \ /
jump lazy over
\ /
quick brown
In code:
class Node:
def __init__(self, value):
self.value = value
self.left = None
self.right = None
def build_tree(words):
root = helper(words, 0)
return root
def helper(words, index):
if index >= len(words):
return None
node = Node(words[index])
left_child = helper(words, index * 2 + 1)
node.left = left_child
right_child = helper(words, index * 2 + 2)
node.right = right_child
return node
words = ["the", "quick", "brown", "fox", "jumps", "over", "the", "lazy", "dog"]
root = build_tree(words)
print("Tree in Inorder:")
inorder(root)
print()
print("Tree in Preorder:")
preorder(root)
print()
print("Tree in Postorder:")
postorder(root)
Output:
Tree in Inorder:
brown dog fox fox jumps lazy over quick the the
Tree in Preorder:
the the fox quick brown jumps lazy over dog
Tree in Postorder:
brown quick jumps fox lazy dog the the over
Time Complexity: O(n) since we do a single pass over the words.
Space Complexity: O(n) due to recursion stack.
To construct a binary search tree for the words in the sentence "the quick brown fox jumps over the lazy dog," using the data structure for storing and searching large amounts of data efficiently.
To construct a binary search tree for the words in the sentence "the quick brown fox jumps over the lazy dog," we must first arrange the words in alphabetical order.
Here is the list of words in alphabetical order:
brown
dog
fox
jumps
lazy
over
quick
the
To construct the binary search tree, we start with the root node, which will be the word in the middle of the list: "jumps." We then create a left subtree for the words that come before "jumps" and a right subtree for the words that come after "jumps."
Starting with the left subtree, we choose the word in the middle of the remaining words, which is "fox." We then create a left subtree for the words before "fox" and a right subtree for the words after "fox." The resulting subtree looks like this:
jumps
/ \
fox over
/ \ / \
brown lazy quick dog
Next, we create the right subtree by choosing the word in the middle of the remaining words, which is "the." We create a left subtree for the words before "the" and a right subtree for the words after "the." The resulting binary search tree looks like this:
jumps
/ \
fox over
/ \ / \
brown lazy quick dog
\
the
This binary search tree allows us to search for any word in the sentence efficiently by traversing the tree based on whether the word is greater than or less than the current node.
Know more about the binary search tree
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Need answers quick pls!!!!!!
Answer:
A. False
B. True
C. False
D. False
E. True
Step-by-step explanation:
A. The diameter would be 6 inches.
B. Circumference = Diameter × 2
C. Area = Pi * Radius^2, NOT Pi^2.
D. Same as C.
E. Area = 3.14 × 1.5 × 1.5 = 7.065
The ratio of the measure of the sides of a triangle is 9:7:3. If the perimeter of the triangle is 266 inches, find the length of the shortest side. Help me please!!
Answer:
shortest side = 42 inches
Step-by-step explanation:
9x + 7x + 3x = 266
x = 14
3x = 42
2x + 5xy + 9x + 3 what is the solution to this problem?
Answer:
5xy + 11x + 3
Step-by-step explanation:
We have the expression 2x + 5xy + 9x + 3 and are asked the solution.
This is different from most standard addition problems, we have an influx of variables, since we do. We follow the like term rules, which is that we can only add the numbers that have the same variable endings, in this case, only 2x and 9x are like terms, so we add them.
2x + 9x
11x
Therefore :
5xy + 11x + 3
PLEASE I NEWD HELP ON THIS
Answer:
5. Inequality form: n ≥ 3
Interval notation: [3, ∞)
6. Inequality form: x < 4
Interval notation: (- ∞, 4)
11. Inequality form: x > 50
Interval notation: (50, ∞)
12. Inequality form: y [tex]\geq[/tex] 8
Interval notation: [8, ∞)
15. Inequality form: z < 8
Interval notation: (- ∞, 8)
16. Inequality form: y [tex]\geq[/tex] 4
Interval notation: [4, ∞)
Step-by-step explanation:
I tried to graph them as best as I could, I hope this helps!
What is the formula for the following arithmetic sequence?
-9, -2, 5, 12, ...
an = -9 + 7( n - 1)
an = -9 + (-7)( n - 1)
an = 7 + (-9)( n - 1)
an = 9 + (-7)( n - 1)
Step-by-step explanation:
an = -9 + 7(n-1)
because you start at -9 and go up by increments of 7

Determine the value of x.
A) 4.96
B) 2.90
C) 11.62
D) 0.73
The value of x in the triangle is 11.62
How to solve for x?The complete question is in the attached image
From the image, we have the following tangent function
tan(71) = x/4
Make x the subject
x = 4 * tan(71)
Evaluate the expression
x = 11.62
Hence, the value of x is 11.62
Read more about right triangles at:
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Answer:
11.62
Step-by-step explanation:
took the test
Find the area of an equilateral triangle (regular 3-gon) with 6-inch sides. Round your answer to the nearest hundredth.
If a 24oz bottle of water costs $2.35. What is the cost per ounce? Round to the nearest penny.
Answer:
10¢
Step-by-step explanation:
To find how much an ounce cost, dive 2.35 by 24.
[tex]\frac{2.35}{24} = 0.097\\[/tex]
Multiply by 100, and thus you get 9.79, or, to the nearest penny, 10 cents.
A store has a 20% off sale on pants. With this discount, the price of one pair of paints is $15.20. What was the original price of the pants?
what expressions are equivalent to -2(4-3x)+(5x-2)
Answer:
11x-10
Step-by-step explanation:
1.Rearrange terms
-2(4-3x)+(5x-2)
-2(-3x+4)+(5x-2)
2.Distribute
-2(3x+4)+(5x-2)
6x-8+(5x-2)
3.Eleminate redundant parentheses
6x-8+(5x-2)
6x-8+5x-2
4.subtract the numbers
6x-8+5x-2
6x-10+5x
5.Combine like terms
6x-10+5x
11x-10
•solution
11x-10
Anyone able to help?
Your teacher didn't pick the most simple way to do this problem, the steps your teacher gave is confusing. Using the same concept, I am going to do this my way then I will show a different method.
3x^2+24x+9=0
x^2+8x+3=0
x^2+8x+16+3=16
(x+4)^2=13
x+4=±[tex]\sqrt13[/tex]
x=-4±[tex]\sqrt13[/tex]
This is how you are suppose to solve it with completing the square and all the steps, to fill your teacher's blank you will have to go from my answer to how your teacher want you to write it.
*Now I am going to show you a way to solve this with the quadratic formula.
I am going to use the main formula because its more clear although the even formula is easier for this question.
3x^2+24x+9=0
x=(-24±[tex]\sqrt{24^2-4*3*9}[/tex])/2*3
x=(-24±[tex]\sqrt{576-108}[/tex])/6
x=(-24±[tex]\sqrt{468}[/tex])/6
since 468 is a multiple of 36
x=(-24±6[tex]\sqrt{13[/tex])/6
x=-4±[tex]\sqrt{13}[/tex]
This bottom way is really good if you can calculate quickly, with a lot of practice this way is much better for solving quadratic equations that cannot be factored.
9 (x - 2) = 7x + 5
Does x have a value hurry only 10 minutes left!!
Answer:
x = 11.5
Step-by-step explanation:
9 (x - 2) = 7x + 5
9x - 18 = 7x + 5
+18 +18
9x = 7x + 23
-7x - 7x
2x = 23
--- ---
2 2
x = 11.5
2 multiplied by 4 times
a. 81
b. 8,000
c. 16
20 is the base, 3 is the exponent
a. 81
b. 8,000
c. 16
Answer:
2×2×2×2=16. hope u like it
I need help on this question
Suppose you write a system of equations to find out which of two video stores is cheaper to join, depending on the number of videos you will rent. You solve the system and find that it has infinitely many solutions. What would that mean in terms of the problem? A. One video store is more expensive than the other no matter how many videos are rented. B. One video store is cheaper up to a certain number of videos rented, and then the other is cheaper. C. Both video stores cost the same no matter how many videos are rented. D. The problem cannot be solved.
find the sum of series of multiple of 5 from 5 to 100 inclusive
Answer:
let me think
Step-by-step explanation:
If you graph a system of equations and they are intersect, they have no solution. True or False someone help pleaseee !!
Answer:
False
Step-by-step explanation:
If the graphs of the equations intersect, then there is one solution that is true for both equations. If the graphs of the equations do not intersect (for example, if they are parallel), then there are no solutions that are true for both equations.
I hope this is correct.
Please help! image is shown below
Answer:
I think 3 maybe since 5 times 3 is 15
Step-by-step explanation:
Answer:
z=10
Step-by-step explanation:
60/40=1.5
15/1.5=10
o MULTIPLE CHOICE QUESTION What should the graph look like for: x <3
if you have a graphing calculator (i use a website called desmos) put in x < 3. i attached a photo of what the graph should look like. the shaded area is where the solutions are. since the shaded area ends with a dotted line, points on that dotted line are not part of the solution.
i hope this helps! sorry i couldn't give a more descriptive explanation... it's pretty much all in the picture lol. have a lovely day! <3
Answer:
getting points since this is an old question tehe
2 x 5 x 10 helppppppp
Answer: 100
Step-by-step explanation:2*5 =10 then 10*10 is 100
Answer:
100
Step-by-step explanation:
so, here is how to work this problem out
2*5 = 10
10*10 = 100
Simplify the following
(c) 2(а - 3) - 5[a - 2(a - 4)
Step-by-step explanation:
Let's simplify step-by-step.
2(a−3)−5a−2(a−4)
Distribute:
=(2)(a)+(2)(−3)+−5a+(−2)(a)+(−2)(−4)
=2a+−6+−5a+−2a+8
Combine Like Terms:
=2a+−6+−5a+−2a+8
=(2a+−5a+−2a)+(−6+8)
=−5a+2
a^2 + b^2 + 2bc - 2ca - 2ab
Find the Slope of the line that passes through (5, -10) and (5, -4)
A. - 14/10
B. 10/14
C. 0
D. Undefined
If 1 large popcorn and 4 large drinks cost $21 how much does 1 large popcorn cost?
Answer:
6-7 dollars maybe?
Step-by-step explanation:
you didn't give a picture so Im just rounding
(sorry if I'm wrong)
Find the area of parallelogram ABCD given m∠A = 30° and the following measures. AD = in.; AB = 8 in. A=
32 in.²
32√3 in.²
16√3 in.²'
Answer: Given that a parallelogram ABCD has sides AB= 6 ft and AX = 3√3
Angle A =30
To find the area of the parallelogram
We have area of parallelogram = base x height
Here base can be taken as side AB = 6 ft
Height = perpendicular distance of AB from vertex X
= AX sin A
= 3√3sin30
=1.5√3
Hence area =6(1.5√3)=9√3ft^2
MARK ME BRAINLIST
HOPE IT IS HELPFUL
Answer:
16√3 in.²'
Step-by-step explanation:
Hope this helps, sorry for answering late.
The figure below is parallelogram. Find the measure of th
variable.
Answer:
D
Step-by-step explanation:
u = 4 since 2u - 1 = 8 - 1 = 7
t = 3 since 5t + 1 = 15 + 1 = 16
and 7t - 5 = 21 - 5 = 16
Hope that helps!
Jacob joined a gym for a year. His total cost for the year was $410, including the monthly
Answer:
What's your question ask the full question
Mind lending me a hand
Answer:
54
Step-by-step explanation:
55 + 74 + 78 + z + z + 45 = 360
252 + 2z = 360
2z = 108
z = 54
Answer: 288
Step-by-step explanation:
78+74+55=207
The degree of a pentagon is 540°
so 540-207=333
so z has to be 333 but the question says +45 and that would make 333 become 378 and we need to get exactly to 333 so the answer cant be 333 but a number that 45 can be added to ,to make 333 for example 54+45=99 so 54 isnt the answer,next is 144+45 which is 189 that doesnt equall 333 so that isnt the answer either lastly is 288+45 which is 333 Thats the answer ...
Simplify 28/184 by reducing to lowest form
A) 1/46
B) 1/7
C) 14/92
D) 7/46
Sally measured the height of a flower growing in her garden. The flower was 3.25 inches tall. Over the next week, the flower grew h inches and measured 4.125 inches tall. How many inches did the flower grow during the week? Round to the nearest hundredth.
Answer: The flower grew 0.88 inches during the week
Step-by-step explanation:
Height of flower in the previous week = 3.25 inches
Height of flower the next week = 4.125inches
height the flower added during the week = 4.125 inches - 3.25inches
=0.875 inches
Rounding to the nearest hundredths becomes 0.88 inches