This triangular arrangement, known as Pascal's triangle, generates numbers based on a pattern. Fill in the missing numbers. Pascal's triangle Row 1: 1, Row 2: 1, 1. Row 3: 1, 2, 1. Row 4: 1, 3, 3, 1. Row 5: 1, 4, 6, 4, 1. Row 6: 1, 5, 10, 10, 5, 1. Row 6: 1, 6, 15, 20, 15, 6, 1. Row 7: 1, blank, blank, blank, blank, blank, blank, 1. A. 2, 3, 4, 5, 6, 7 b. 8, 21, 35, 21, 20, 8 c. 7, 20, 35, 35, 20, 7 d. 7, 21, 35, 35, 21, 7
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Answer: D.) 7, 21, 35, 35, 21, 7
Step-by-step explanation:
For pascal triangle :
Row 1: 1,
Row 2: 1, 1.
Row 3: 1, 2, 1.
Row 4: 1, 3, 3, 1.
Row 5: 1, 4, 6, 4, 1.
Row 6: 1, 5, 10, 10, 5, 1.
Row 6: 1, 6, 15, 20, 15, 6, 1.
Row 7: 1, blank, blank, blank, blank, blank, blank, 1
To obtain values for any row :
Digit 1 is plaved at both extremes ; and each two successive digit in the previous row is added to obtain the numbers in that row.
For row 7:
After placing 1 at both extremes ;
Each two successive digits in row 6 are summed up;
Row 6: 1, 6, 15, 20, 15, 6, 1.
(1 + 6) = 7;
(6 + 15) = 21
(15 + 20) = 35
(20 + 15) = 35
(15 + 6) = 21
(6 + 1) = 7.
Hence,
Row 7 = 1, 7, 21, 35, 35, 21, 7, 1
Related Questions
find area of irregular figure
Answers
Answer:
164 square meters.
Step-by-step explanation:
This is a 12x15 rectangle minus the small rectangle near the bottom.
The small rectangle has dimensions (12-5-5) * 8.
Therefore, our answer is 12*15 - 2*8 = 164 square meters.
Find the values of x and y.
Answers
Hi! Hope this helps, and if it does, please mark brainliest!
Answer:
y = 43 and x = 90
Step-by-step explanation:
We know that a triangle is 180 degrees (each side equals 180 since they are their own triangles) We will focus on the left triangle. Since x is a right angle, it is 90 degrees. Since there is a slash across the two sides of the main triangle, that means both sides are equal. This means that the bottom left angle, the one above b, is equal to 47 degrees. That means we know two angles out of 3. For the sake of simplicity, the bottom left angle, the one above b, is point z. So point z is 47, and x is 90, added they are 137. Subtract that from 180, you will get 43. 43 is y.
Find the area of a kite with diagonals 12 ft and 3 ft.
Answers
Answer:
36 because 12 times 3 =36
Step-by-step explanation:
12 time 3 is 36
How can thieves steal an identity? i. dumpster diving ii. phishing iii. changing others' addresses iv. skimming a. i
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Answer: Thieves can steal identity through "Phishing".
Step-by-step explanation: Phishing is a type of social engineering attack often used to steal user data, including login credentials and credit card numbers. It occurs when an attacker, masquerading as a trusted entity, dupes a victim into opening an email, instant message, or text message.
Dis for a test don’t mess me up.
Answers
Answer:
the answer is 8
Step-by-step explanation:
This isn’t a question but y’all I aced my math midterm
Answers
Answer:
OMG SO PROUD OF YOU!!!! :D
Step-by-step explanation:
Answer:
Nice job.
Step-by-step explanation:
Congratulations!
!!!PLEASE HELP!!! ASAP
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Answer:
Pretty sure it's 3.5 because...
Step-by-step explanation:
7 ÷ 2 = 3.5
In the figure below, line M is parallel to line N.
What is the value of y
A 16
B 48
C 64
D 132
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which is the value of this expresson when a=5 and k=-2
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25/9 aka the third option
Multiplying Matrices
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Answer:
[tex]\left[\begin{array}{ccc}9&4&4\\2&-6&4\end{array}\right][/tex]
Hope it helps!!!Brainliest pls!!!help please. brainliest
Answers
This is because all of the other options contain some sort of transformation that would change the actual shape of the figure, whereas the top right one would only change the location of the figure.
Two figures can be in different locations and be congruent, but they cannot be congruent if they are different shapes.
What are the vertex, focus, and directrix of the parabola whose equation is y-5= 1/12 (x – 3)2?
Answers
Answer:
Step-by-step explanation:
Use the vertex form, y=a(x−h)2+k y = a ( x - h ) 2 + k , to determine the values of a a , h h , and k k . a=−112 a = - 1 12. h=3 h = 3. k=−2 k = - 2.
AAAAA I NEED HELP AGAIN!!
Answers
Answer:
x=1
Explanation:
it is x=1 because if the point (-1,3) is reflected then the other point is (3,3) and so on
Which equation shows the proportional relationship in the table?
Answers
Answer:
B
Step-by-step explanation:
Time is the independent variable X.
Trees planted is the dependent variable Y.
If its a proportional relationship, then Y = MX should hold.
Lets test our answer according to the table's values.
Y = 65(2) = 130
Y = 65(5) = 325
Y = 65(10) = 650
Hence, B.
Colleen has ½ hour in the Computer Lab. She wants to complete 5 levels of the game, Typing Club, in order to beat her classmates. If she spends the same amount of time on each level, how much time should she spend per level? Show with numbers, words, and a picture or diagram.
Answers
Answer:
6 minutes
Step-by-step explanation:
1 hour = 60 minutes
1/2 hour = 30 minutes
30 / 5 = 6
which ratio is NOT equal to 6/9?
A 2/3
B 8/12
C 12/18
D 18/24
Answers
Answer:
18/24
Step-by-step explanation:
the second number is 2/3 of the first number
PLEASE HELP THERE PICTURES i will choose brainliest answer
Answers
Answer:
question 3= C.
question 2= A.
question 1= seventy-two minus twelve, times less than 24 equals?
Step-by-step explanation:
smort mr clean 0-0
The area of a garden is measured in:
1.grams
2.square centimetres
3.square metres
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it's answer is square metre because SI unit of area is square and in most of the case area of garden is given as metre
find the value of x in 4^x=1/16
Answers
Answer:
[tex] x = \frac{1}{64} [/tex]
Step-by-step explanation:
[tex] \frac{4x}{1} = \frac{1}{16} [/tex]
Then you CROSS MULTIPLY.
WHICH IS.
4x × 16 = 1
64x = 1
Then you divide both sides by coefficient of x which is 64.
[tex] \frac{64x}{64} = \frac{1}{64} [/tex]
x = 1/64
Ms. Rios wants to share $1 equally among 6 students. What fraction of a dollar will each student get?
Answers
Answer:
17 cents
Step-by-step explanation:
Firstly, as we know this is going to become a fraction, we can replace $1 with $1.00.We are trying to divide $1.00 amongst 6 people. This is a division problem, and will look like 1.00 ÷ 6.We get .166... which we can round to 17 cents, or .17.If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.
Put these in ascending order:
A) 04800 , 480 , 0.408 , 4080
Answers
Answer:
.408, 480, 4080, 4800
Step-by-step explanation:
Find the solution of x.
Answers
Answer:
c. 29°
Step-by-step explanation:
The measure of the inscribed angle x is half the measure of subtended arc BC.
x = 58°/2 = 29°
Determine if the expressions are equivalent.
when w = 11:
2w + 3 + 4 4 + 2w + 3
2(11) + 3 + 4 4 + 2(11) + 3
22 + 3 + 4 4 + 22 + 3
25 + 4 26 + 3
29 29
Complete the statements.
Now, check another value for the variable.
When w = 2, the first expression is
.
When w = 2, the second expression is
.
Therefore, the expressions are
.
Answers
Answer:
the first expression is 2 therefore 2 plus the second expression is 4 so 2+4 = 6
Answer:
the first expression is 2 therefore 2 plus the second expression is 4 so 2+4 = 6
Step-by-step explanation:
Help!!!! Please will be brainiest and get thanks + 5 stars!!
Answers
Answer:
X = 90°
Y = 45°
Z = 45°
Step-by-step explanation:
[tex] \frac{1}{2} ( \frac{90}{1} )[/tex]
[tex] \frac{90}{2} [/tex]
[tex]45[/tex]
please help , problem on the picture.
Answers
Answer:
494.4 inches²
Step-by-step explanation:
we can see that there are four quarter circles inscribed in the square. 4 quarters make up a whole so all we need to find is the area of the square minus the area of the large circle. area of a circle is πr²
area of the circle: (24)²×π=1809.557
area of the square: (24×2)²=2304
shaded area: 2304-1809.557=494.443 which rounds down to 494.4
-2+3x=16
what is x equal to
Answers
Answer:
x = 6
Step-by-step explanation:
-2 + 3x = 16
add 2 to both sides
-2 + 2 + 3x = 16 + 2
0 + 3x = 18
3x = 18
divide both sides by 3
3x ÷ 3 = 18 ÷ 3
1x = 6
x = 6
Answer:
6
Step-by-step explanation:
To solve this we must get the variable and the number alone on one side.
1. -2+3x=16
2. 3x=18
3.x=6
Suppose that $2000 is invested at a rate of 3.2%, compounded quarterly. Assuming that no withdrawals are made, find the total amount after 3 years. Round to the nearest cent. (please no links)
Answers
What will be value of z?
Answers
Answer: z= 110 degrees
Step-by-step explanation:
180-70= 110
(a line is equal to 180 degrees)
Answer:
[tex] z = 110 \: \: degrees[/tex]
Step-by-step explanation:
[tex]z + 70 = 180 \\ z = 180 - 70 \\ z = 110 \: \: degrees[/tex]
Evaluate x-(x-y3)); use x=9 and y=1
Answers
Answer:
-15
Step-by-step explanation:
9-(9-1*3)
9-8*3
9-24
-15
B. Find the area of the triangle formed by joining the mid points of the sides of a triangle
whose vertice sre(0, - 1), (2, 1) and (0,3). Find the ratio of this area to the area of the
given triangle
Answers
Answer:
2.1
Step-by-step explanation: