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?
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.
Javier earned the following scores on his first five tests: 77, 89, 84, 80, and 85. What score did he earn on his last test to have a test mean of 84%?
84%
88%
86%
89%
Answer:
88
Step-by-step explanation:
it meets the mean
Answer:
88%
Step-by-step explanation:
:)
You are given the coordinates of a triangle and
coordinates for only one of the vertices of its image
under a translation, Explain how to translate the entire
trangle
Answer:
Find translation Using the coordinates of the given image with corresponding vertices coordinate of the object. After getting the translation,find the coordinates of the two other vertices of the image from formula IMAGE=OBJECT + TRANSLATION
Answer:
Translations move every point on a figure the same distance and direction. You can use the one vertex and its image to find the rule that maps the triangle to its image. This rule can then be used to find the images of the other vertices of the triangle. Plot the vertices and connect them to form the image of the triangle.
Step-by-step explanation:
hiii please help i’ll give brainliest if you give a correct answer ty!!
Andre says that 1/4 is less than -3/4 because, of the two numbers, 1/4 is closer to 0. Do you agree? Explain your reasoning.
Answer:
Andre is wrong
Step-by-step explanation:
Andre is wrong because 1/4 is a positive number and -3/4 is a negative number so that makes Andre wrong for that, but if it is who is closer to 0 then Andre is right because when you look at it on a table you can see that 1/4 is closer.
can anyone explain how to do an equation like this and what the answer would be? i’m so confused haha. thank you! answer asap!!
Step-by-step explanation:
-4(2x+5)
-8x+-20
...................
I need help!!
Which of the following expression is equal to y/x^2?
HElP DUE IN 15 MIN
x =
3/4x - 1 = 1/2x + 7
What is the perimeter of the square?
A.) 23 units
B.) 32 units
C.) 46 units
D.) 92 units
what is the slope of the line
Answer:
[tex]consider \: {1}^{st} and \: {3}^{rd} columns\\ slope = \frac{(96 - 32)}{(12 - 4)} \\ = \frac{64}{8} \\ slope = 8[/tex]
-4 + 9x -7
I really need help plz answer plz
Answer:
-2x that's the answer, I think
Step-by-step explanation:
Yung negative 4 I subtract mo sa positive 9x ang sagot ay 5x kase may negative sign yung 4 kaya kailangan mong I subtract then yung 5x I subtract mo ata ulit sa negative 7 ang sagot ay - 2 yan na Explanation ko.
Pero di ako sure dyan but I hope it helps
#CARRYONLEARNING #STUDYWELLThe manager of a local skate park wants to paint a skating ramp shaped like a
triangular prism blue. A net of the skating ramp is shown. The parts that will be painted
are shaded
How many square feet of space on the skating ramp will be painted blue?
660 square feet
480 square feet
420 square feet
260 square feet
Answer:
123
Step-by-step explanation:
Answer:
260 square feet.
Read the caption thank you :)) if you know it let me know!
Answer:
∠ A = 50°
Step-by-step explanation:
In a parallelogram, consecutive angles are supplementary, sum to 180°
∠ A + 130° = 180° ( subtract 130° from both sides )
∠ A = 50°
Sara sold 461 tickets for a school play. Student tickets cost $3 and adult tickets cost $4. Sara’s sales totaled $1624.How many adult tickets and how many student tickets did Sara sell?
Answer:
220 student and 241 adults
Step-by-step explanation:
x+y=461
3x+4y=1624
y=-x+461-----> 3x+4(-x+461)=1624
-x+1844=1624
+x -1624
x=220
3(220)+4y=1624
660+4y=1624
4y=964
y=241
There are 241 adult tickets and 220 student tickets did Sara sell.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Sara sold 461 tickets for a school play.
And, Student tickets cost $3 and adult tickets cost $4. Sara’s sales totaled $1624.
Let number of adult tickets = x
And, Number of student tickets = y
Hence, We get;
⇒ x + y = 461 .. (i)
And, 4x + 3y = 1624 .. (i)
Multiply by 3 in (i);
⇒ 3x + 3y = 1383 .. (iii)
Subtract form (ii);
⇒ x = 241
And, From (i);
⇒ x + y = 461
⇒ 241 + y = 461
⇒ y = 461 - 241
⇒ y = 220
Thus, There are 241 adult tickets and 220 student tickets did Sara sell.
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How much punch did Susan make altogether? 3 cups seltzer water 1 gallon apple juice 4 pints lemonade
Answer:
Susan makes [tex]13\frac{1}{2}[/tex] pints of punch.
Step-by-step explanation:
Consider the provided information.
We know that:
2 cups (c) = 1 pint (pt)
4 cups (c) = 1 quart (qt)
16 cups (c) = 1 gallon (gal)
So 3 cups = [tex]1\frac{1}{2}[/tex] pint
1 gallon = 16 cups = 8 pint
The three mixed together would make [tex]1\frac{1}{2}+8+4=13\frac{1}{2}[/tex] pints of punch.
Hence, Susan makes [tex]13\frac{1}{2}[/tex] pints of punch.
The nth term of a quadratic sequence is an² + bn where a and b are integers. The second term of the sequence is 8, and the fifth term is 65. What is the value of the tenth term in the sequence?
Step-by-step explanation:
When n = 2,
(2)²a + (2)b = 8.
=> 4a + 2b = 8.
When n = 5,
(5)²a + (5)b = 65.
=> 25a + 5b = 65.
4a + 2b = 8. => 10a + 5b = 20
25a + 5b = 65
- (10a + 5b = 20)
=> 15a = 45, a = 3.
Therefore 4(3) + 2b = 8, 2b = -4, b = -2.
We have a = 3 and b = -2.
Hence when n = 10,
an² + bn
= (10)²(3) + (10)(-2)
= 300 - 20
= 280.
The 10th term of the sequence is 280.
Answer:
The 10th term of the sequence is 280
Step-by-step explanation:
When n = 2,
(2)²a + (2)b = 8.
=> 4a + 2b = 8.
When n = 5,
(5)²a + (5)b = 65.
=> 25a + 5b = 65.
4a + 2b = 8. => 10a + 5b = 20
25a + 5b = 65
- (10a + 5b = 20)
=> 15a = 45, a = 3.
Therefore 4(3) + 2b = 8, 2b = -4, b = -2.
We have a = 3 and b = -2.
Hence when n = 10,
an² + bn
= (10)²(3) + (10)(-2)
= 300 - 20
= 280.
Find the unknown side length. Simplify radical answers.
On Friday, an art museum sold 720 adult tickets. The number of adult ticket sold was 9 times the number of children's ticket sold. On Saturday, the museum sold 6 times as many children's ticket as on Friday How many children ticket sold on saturday
Answer: 480 children's tickets
Step-by-step explanation:
On the Friday, 720 adult tickets were sold.
This number was 9 times the number of children's tickets sold. Number of adult tickets sold was therefore:
= 720/9
= 80 children's tickets.
On the Saturday, 6 times the above amount was sold:
= 6 * 80
= 480 children's tickets
10) Solve for x. *
(5х + 6)°
(2x + 21)
5
9
39
51
Answer
x=5
Step-by-step explanation:
An angle measures 8.2° more than the measure of its complementary angle. What is the
measure of each angle?
9514 1404 393
Answer:
49.1°, 40.9°
Step-by-step explanation:
Let x represent the smaller angle. Then the larger is x+8.2 and the total of the two angles is ...
x + (x +8.2) = 90
2x +8.2 = 90 . . . . . collect terms
x + 4.1 = 45 . . . . . . .divide by 2
x = 40.9
x +8.2 = 49.1
The two angles are 49.1° and 40.9°.
Determine the input, output and function of the following question
K=3H-11
Answer:
do we need to explain in words or numbers
Step-by-step explanation:
10
(10 Points)
What is the domain of the relation shown below?
{(4,2),(1,1),(0,0),(1,-1),(4,-2)}
1) {0,1,4}
3) (-2,-1,0, 1, 2,4}
2) (-2,-1,0, 1, 2}
4) (-2,-1,0,0,1, 1, 1, 2,4,4}
Enter your answer
Answer:
1) {0,1,4}
Step-by-step explanation:
(x,y)
domain is x
range is y
so in this case the domain is 0,1,4
please give me the correct answer! thank you :)
Answer:
y = -2x
Step-by-step explanation:
y + 4 = -2 (x - 2)
Expanding the equation out, we get:
y + 4 = -2x + 4
Subtracting 4 from both sides, we get:
y = -2x.
1. 35x^3 + 5x^2+ 28x + 4
It rlly is possible if u dont have the value for x or what it's equal at the end
Solve for x. √10x+50=x+5
x = 5 or x = 10
x = 0 or x = 5
x = 0 or x=−5
x = 5 or x=−5
Answer:
x = 5 or x = -5
Step-by-step explanation:
I took the k12 quiz
The solutions are x = 5 and x = -5 for the given equation √10x+50=x+5.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
To solve for x in the equation √(10x+50) = x+5, we can first isolate the radical term by squaring both sides:
(√(10x+50))²= (x+5)²
Simplifying the left side gives:
10x+50 = x² + 10x + 25
Combining like terms and moving all terms to one side, we get:
x² - 25 = 0
This is a quadratic equation that can be factored as:
(x-5)(x+5) = 0
Therefore, the solutions are x = 5 and x = -5 for the given equation √10x+50=x+5.
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please hurry! it's 4 a quiz
Answer:
AD∥BC,BD is the transversal line
⟹∠ADB=∠DBC (∵alternate angles)
⟹z=30
Step-by-step explanation:
2. Explain, in words, how you would solve this problem. Hint: you should get 1 point
a whole number answer.
9 – 24 = 4(3)
Your answer
Answer:
9-24=4(3)
-15=4×3
-15=12
Answer:
9-24= 4(3)
Multiply first
9-24=12
Then subtract the other digits in the side
-15=12
Step-by-step explanation:
Follow the PEMDAS rule which it to do which ever one of these first before furthering the math.
(Parentheses, exponents, multiply, division, addition and subtraction)
BUT hopefully there wasn’t a missing letter variable in the equation so you could get a single answer
[tex]\frac{a-3b}{a+2b} = \frac{4}{3}[/tex]
what is the value of a:b??
Answer:
[tex]a:b = -17:1[/tex]
Step-by-step explanation:
Given
[tex]\frac{a-3b}{a+2b} = \frac{4}{3}[/tex]
Required
Find a:b
[tex]\frac{a-3b}{a+2b} = \frac{4}{3}[/tex]
Cross Multiply
[tex]3(a-3b) = 4(a+2b)[/tex]
Open brackets
[tex]3a - 9b = 4a + 8b[/tex]
Collect Like Terms
[tex]3a - 4a = 8b+9b[/tex]
[tex]-a = 17b[/tex]
Divide through by -b
[tex]\frac{-a}{-b} = \frac{17b}{-b}[/tex]
[tex]\frac{a}{b} = \frac{17}{-1}[/tex]
[tex]\frac{a}{b} = \frac{-17}{1}[/tex]
Represent as a ratio
[tex]a:b = -17:1[/tex]
Mr. Park paid $85.00 for 4 shirts. Each shirt cost the same amount. What was the cost of each shirt in dollars and cents?
Answer:
I think you're supposed to do 85/4
Step-by-step explanation:
85 devided by 4
$21.25 for each shirt
solve 15x + 60 < 240
Answer:
15x+60<240 is x<12
Step-by-step explanation:
Let's solve your inequality step-by-step.
15x+60<240
Step 1: Subtract 60 from both sides.
15x+60−60<240−60
15x<180
Step 2: Divide both sides by 15.
15x
15
<
180
15
x<12
Answer:
x<12
Step-by-step explanation: