In this number tree, the integers greater than or equal to 0 are written out in increasing order, with the top row containing one integer and every row after containing twice as many integers as the row above it. If row 1 contains the integer 0, what is the fifth number in row 10?
Answers
Answer:
The fifth integer in row 10 using the number tree pattern is 515.
Step-by-step explanation:
The attached picture is instrumental to understanding the solution to this. There are different methods to approach this problem. But we will use observations to solve the problem.
Looking at the tree diagram, we see that the first row has 1 integer, the second has 2, the third has 4 and the fourth has 8. From here, we can see that a row has 2^n numbers where n = 0, 1, 2, 3, 4, . . .
Row 1 = 2^0 = 1 number
Row 2 = 2^1 = 2 numbers
Row 3 = 2^2 = 4 numbers
Row 4 = 2^3 = 8 numbers. And so on.
Also we notice that the last number in row 4 is 14. This can be gotten by adding the total number of numbers from row 1 to row 4 which is
1 + 2 + 4 + 8 = 15 but the first number on the chart is 0 which means we have to take out the first integer to get the last integer on row 4. Doing this, we have 14.
Since our aim is to know the fifth number in row 10, then we need to know the last number in row 9 then count from the first number in row 10 to the fifth. Using 2^n to get the number of numbers in each row like we've done above we can add the number of numbers to know the total numbers we have from row 1 to row 9 as follows:
1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 + 256 = 511
As we've said previously, 0 is the first integer in the tree and should be removed to know the last number in row 9. This would be 510.
If 510 is the last number in row 9 is 510, then the first number in row 10 would be 511. Counting to the fifth number we get to 515. Thus the fifth number in row 10 using the number tree pattern is 515.
Related Questions
Which equation has exactly ONE solution?
Answers
Answer:
I believe B could be wrong
What helps to remember distributive property
Answers
Example
2(3+4)=2x3+2x4
I hope this helps
yo guys how do i put my mom in a nursing home when she doesnt need to its just that shes really getting on my nerves
Answers
Answer:
im dieing XD
Step-by-step explanation:
if you can prove she isnt mentally there u could prolly get her in somewhere but u gotta have a therapist look at her i believe. i reccomend movign out or just staying at a friends house for a lil bit XD.
my mom gets on my nerve, but I never put her in a nursing home. Be glad for your mom she birthed you and put u in her and ur life. Be grateful for ur mom.
Arrange the numbers in decreasing order of their values.
37
6.012
6.08171...
>
Answers
Answer:
19/3>✓37>6.08171>6.012
Step-by-step explanation:
First change them to decimal by finding the exact values
The person ontop is correct :) (on PLATO atleast)
Thank you <3
LMNP is a rectangle. Find the value of x and the length of each diagonal.
LN = 7x + 11 and MP = 9x-5
X= ???
Answers
Answer:
Step-by-step explanation:
The diagonals of a rectangle are congruent, thus
MP = LN , substitute values
9x - 9 = 7x + 9 ( subtract 7x from both sides )
2x - 9 = 9 ( add 9 to both sides )
2x = 18 ( divide both sides by 2 )
x = 9
LN = 7x + 9 = (7 × 9) + 9 = 63 + 9 = 72
MP = 9x - 9 = (9 × 9) - 9 = 81 - 9 = 72
a handful of coins has the value of 1 dollar and 79 cents there are 3 times as many dimes as quarters and 5 more pennies than dimes if there are only 3 types of coins how many of each type of coin are there
Answers
Answer:
3 Quarters 9 dimes 14 pennies
Step-by-step explanation:
so dimes are x, quarters are y, and pennies are z. Next we know that x*3 y is what dimes are and 5 more pennies then dimes so z+5. Now we do 3 quarters since thats about 100 but less then 3*3=9 so 190 we have 90+75 cents now then we add 14 the cursed number lol but we add 14 because 9+5 is 14 and there are 5 more pennies then dimes.
enter a negative number that has an absolute value greater than -10
Answers
Answer: -9
Step-by-step explanation: Your welcome
A soccer team gives each player a bonus on the top of his or her base salary for every goal the players scores. The data for some of the team’s players are given.
Players: Gerros, Makaros, and Smith.
Base Salary: $6000, $5000, $7000.
Goals: 70, 20, 80.
A) Find a simplified expression for the total earnings for these 3 players if b represents the bonus, in the dollars.
Answers
Answer:base salary plus goals equals the total amount
Step-by-step explanation:
Goals equals base salary
Answer:
don't trust me on this, but what it looks like is that whoever makes the next best scores on on the team get a increase of $1000
Step-by-step explanation:
For ex. Makaros has the lowest score so he makes $5000 but gerros has the next best score so he makes 1 more thousand than Makaros.
Please help me out with this.
Answers
Answer:
7 green cars.
Step-by-step explanation:
Look at the totals of all of the colors at the bottom. The least of them is green (at 7 cars). That's the answer.
56 first-graders and 24 other students attended a school assembly. What percentage of the students at the assembly were first-graders?
Answers
Answer:
80%
Step-by-step explanation:
We can write the ratio of first graders to students as 56:24.
We have to find the total amount of students so we add those two up and we get 70
Out of 70, there are 56 first graders, so we can write that as a fraction which will be 56/70
To get this to a percent, we have to get it so the denominator is 100, I can do some weird thing, multiplying a decimal over decimal to get to the answer, but that isn't what you would most likely do
The best thing to do in this scenario is to simplify this equation so it has a denominator of 10, so we do divide by 7 on the bottom, divide by 7 on the top, and we get the more simplified fraction, 8/10. And 8/10 is also equal to 80/100 which makes the percent 80%
due in 3 hours pls help lol
Answers
Answer:
b is the inequality this number line represent
Ellie is making beaded bracelets and rope bracelets to sell at a craft show. This morning, she spent the same amount of time making each type of bracelet, but she made fewer beaded bracelets than rope bracelets. This afternoon, she wants to make the same number of beaded bracelets and rope bracelets. Which will she likely finish in less time?
Answers
Answer:
it rope bracelets
Step-by-step explanation:
Answer:
rope bracelet
Step-by-step explanation:
Li is making beaded necklaces. For each necklace, she uses 28 spacers, plus 4 beads per inch of necklace
length. Write an equation to find how many beads Li needs for each necklace, where x is the length, in
inches, of the necklace.
Answers
Answer: 27
Step-by-step explanation:
Mage has $36 to spend on movie tickets. Each movie ticket costs $4.50. How many tickets can he buy?
Answers
Answer:
x = 8 tickets
Step-by-step explanation:
Given that,
Mage has $36 to spend on movie tickets.
Each movie ticket costs $4.50.
Let he bought x tickets. ATQ,
4.50x = 36
[tex]x=\dfrac{36}{4.5}\\\\=8[/tex]
So, he can buy 8 tickets.
does this company earn or lose money
Answers
Answer:
lose
Step-by-step explanation:
the arrow is going into the negative, meaning their losing money and going into debt.
Answer: loses money
Step-by-step explanation: the arrow is pointing down to the negative side of the graph lol
Hope this helps
Can someone please helpppp!!!!!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
Answers
Answer is C
.................
Can anyone help me out here I need to turn this in today pls?
Answers
Answer:
t=22
Step-by-step explanation:
2t+70+3t=180
5t+70=180
5t=180-70
5t=110
t=110/5
t=22
How many pages did Juan read if he read 1 3/4 times as many pages as Rosa. Lee read 140 3/4 pages which was 36 1/3 pages more than the number of pages that Rosa read
Answers
Answer:
[tex]182\frac{35}{48}[/tex]
Step-by-step explanation:
To find the number of pages Rosa read subtract 36 1/3 from 140 3/4
140 3/4-36 1/3= 104 5/12
Then multiply 1 3/4 to that to get how many pages Juan read
The answer will be [tex]182\frac{35}{48}[/tex]
Help me with this pls thank you
Answers
Answer:
×=15
Step-by-step explanation:
180 degree straight line
180-165=15
Jeff spends half of his paycheck he gives 1/3 of the remaining money to the charity and put the rest in the bank what fraction does he put in the bank
Answers
7.5/15 + 5/15 is 12.5/15. Simplified is 5/6.
6/6 minus 5/6 gives you 1/6, therefore the answer is 1/6. Hope this helps!
8. How many days would it take to travel from Washington, D.C.,
to San Francisco, California, traveling at 60 miles per hour for 8
hours per day?
HELP SOON MARKING BRAINLIEST
Answers
Answer:
What are the choices and what grade level going to 4th-12th
Step-by-step explanation:
The speed is the distance covered by an object at a particular time. It will take 1 and seven-tenths of the day to reach San Francisco.
What is speed?The speed is the distance covered by an object at a particular time. Therefore, it is the ratio of distance and time.
Speed = Distance Covered / Time taken
Given that the speed during the entire journey is 60 miles per hour and you drive for 8 hours per day. Therefore, the distance that you can cover in a day is,
Distance covered in a day = Speed × Time
= 60 miles per hour × 8 hours per day
= 480 miles per day
Now, by road the distance between Washington, DC, and San Francisco, California is 812.5 miles. Therefore, the number of days it would take to reach San Francisco is,
Number of days
= Total Distance to be Covered / Distance covered in a day
= 812.5 miles / 480 miles per day
= 1.7 days
Hence, it will take 1 and seven-tenths of the day to reach San Francisco.
Learn more about Speed here:
https://brainly.com/question/15100898
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calculate the rise and run to fine the slope of each line.
Answers
Answer:
All of them?
Step-by-step explanation:
find the slope of the line below. enter your answer as a fraction or decimal use a slash mark (/) as the fraction bar if necessary. (pic above)
Answers
Answer:
the slope is 10/2 =5
Step-by-step explanation:
Please help me✋............
Answers
Answer:
yes it is
Step-by-step explanation:
Subtracting a number is the same as adding its opposite (also called its additive inverse). To subtract you can rewrite the subtraction as adding the opposite and then use the rules for the addition of real numbers.
HI, can someone help me? volume of the square
Answers
Answer - 288
Step-by-step explanation:
i use the formula V=a2 h/3
Hello!
Answer:
The volume of the square pyramid shown is 288 inches cubed.
Step-by-step explanation:
We can solve this by using the formula, V = A(h/3), where V is the volume, and A is the area of the base, and h is the height.
We know that the area of a square is S^2, S being the side length, so to find the area of the base, we do 6 x 6, and that's 36.
Now, plug the numbers into the formula V = A(h/3)
V = 36(24/3)
V = 36(8)
V = 288
helpppppppp pleaseee
Answers
Answer:
Step-by-step explanation:
12×(1/4) + (6-(1/4)-4)
3 + (2-1/4)
3+(7/4)
19/4
Answer:
4 3/4 or 4.75
Step-by-step explanation:
12a + (b-a-4) [a= 1/4 and b=6
12(1/4) + (6-1/4-4)
3 + (1.75 or 1/34) = 4 3/4 or 4.75
Hey, Its the same person. This is Algebra 2. Please Help!
Answers
Answer:
first option
Step-by-step explanation:
Given
f(x) = [tex]\frac{2x^2+5x-12}{x+4}[/tex] ← factorise the numerator
= [tex]\frac{(x + 4)(2x-3)}{x+4}[/tex] ← cancel (x + 4) on numerator/ denominator
= 2x - 3
Cancelling (x + 4) creates a discontinuity ( a hole ) at x + 4 = 0, that is
x = - 4
Substitute x = - 4 into the simplified f(x) for y- coordinate
f(- 4) = 2(- 4) - 3 = - 8 - 3 = - 11
The discontinuity occurs at (- 4, - 11 )
To obtain the zero let f(x) = 0, that is
2x - 3 = 0 ⇒ 2x = 3 ⇒ x = [tex]\frac{3}{2}[/tex]
There is a zero at ( [tex]\frac{3}{2}[/tex], 0 )
Thus
discontinuity at (- 4, - 11 ), zero at ( [tex]\frac{3}{2}[/tex], 0 )
The difference between 10 and the product of a number and 9 is -73
Answers
Answer:
x=83/9
Step-by-step explanation:
For this type of problem, just convert the words to math
The difference means "A-B"
The product means "B*C"
So, put those together.
10 - 9x = -73
Then solve for x.
-9x = -83
x = 83/9
Please help this is due in 10 minutes
Answers
Answer:
The answer is -11
used a calculator
Do all parallelograms have 4 equal sides?
Its a yes or no question! DOnT cOpy anD paStE frOm goOgl.E
Answers
Answer: no
Step-by-step explanation:
Hope this helps!