Use the recursive relationship to complete the next two rows of Pascal's triangle. Row 5: 1 _ _ _ _ 1 Row 6: 1 _ _ _ _ _ 1

Answers

Answer 1

Answer:

      1   5  10  10   5   1           Row 5

   1   6   15  20  15   6    1       Row 6

Recursive relationship:

Each row has number of positions = row number + 1. The Row 0 is always 1.

The first and last number in each row is 1, the number in the second position and the penultimate corresponds to the number of the row.  The middle numbers correspond to the sum of the two numbers in the top row. The resulting number from the addition is located in the middle of the numbers added in the next row.

Step-by-step explanation:

The pascal's triangle

* Row 0  =  1

* Row 1 = 1  1

                   1                          Row 0

                1    1                       Row 1

Since there are only two positions, the first and last are 1.

*Row 2 = 1  _ 1

                   1                          Row 0

                1    1                       Row 1

              1   2   1                     Row 2

2 is the sum of 1 + 1 and we place it in the next row between the added numbers 1 and 1.

* Row 3 = 1 _  _    1

                  1                          Row 0

                1    1                       Row 1

              1   2  1                    Row 2

            1   3   3  1                   Row 3

1 + 2 = 3  (the row number and the and adding the numbers from the previous row)

* Row 4 = 1 _  _    _   1

                  1                          Row 0

                1    1                       Row 1

              1   2   1                     Row 2

            1   3  3  1                   Row 3

         1   4   6   4   1                Row 4

1 + 3 = 4  (the row number)

3 +3 = 6

* Row 5 = 1 _  _   _  _   1

                  1                          Row 0

                1    1                       Row 1

              1   2   1                     Row 2

            1   3   3  1                   Row 3

         1   4   6  4   1                Row 4

     1   5   10   10   5   1           Row 5

1 + 4 = 5

4 + 6 = 10

* Row 6 = 1  _  _ _  _  _   1

                  1                          Row 0

                1    1                       Row 1

              1   2   1                     Row 2

            1   3   3  1                   Row 3

         1   4   6   4   1                Row 4

     1   5   10 10  5   1           Row 5

   1   6   15  20  15   6   1        Row 6

1 + 5 = 6

5 + 10 = 15

10 + 10 = 20


Related Questions

PLEASE HELP WILL GIVE BRAINLIEST!!!

Answers

Answer:

The answer is B Hope this helps

Step-by-step explanation:

Mondays, Tuesdays, and Friday I will be given a warm-up and you are free to answer it with 5 sentences.

Markale sold his house for 175,000. If there is a 7% sales tax, how much money did he pay taxes

Answers

Answer:

12250

Step-by-step explanation:

pls i'll give brainliest answer these four for brainliest

Answers

Answer:

294 teenagers

Step-by-step explanation:

31.5$

102ml

50 hamburgers

Step 1: Our output value is 700.

Step 2: We represent the unknown value with $x$x​.

Step 3: From step 1 above,$700=100\%$700=100%​.

Step 4: Similarly, $x=42\%$x=42%​.

Step 5: This results in a pair of simple equations:

$700=100\%(1)$700=100%(1)​.

$x=42\%(2)$x=42%(2)​.

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

$\frac{700}{x}=\frac{100\%}{42\%}$

700

x​=

100%

42%​​

Step 7: Again, the reciprocal of both sides gives

$\frac{x}{700}=\frac{42}{100}$

x

700​=

42

100​​

Therefore, 42% of 700 is 294.

help m.e please please

Answers

Answer:

the answer is -2,-2

Step-by-step explanation:

Which expression means the same as "25 less than 5y"?
A. 5y - 25
B. 25 - 5y
C. 5y - 25
D. 25 = 5y

Answers

Answer:

a) 5y - 25

Step-by-step explanation:

Please help!! Will give brainliest! Giving lots of points!

Answers

Answer:

d) [tex](9*3/4)+y[/tex]

Step-by-step explanation:

b) [tex]9+y*(3/4)[/tex]

This expression is not equivalent, as the original expression, [tex]y+9*\frac{3}{4}[/tex] , has 9 multiplied to [tex]\frac{3}{4}[/tex] instead of y. You can interchange values like this when it comes to addition, but not multiplication.

c) [tex](y+9)(3/4)[/tex]

This expression is also not equivalent. After opening up the parentheses, it would again result in y being multiplied to [tex]\frac{3}{4}[/tex].

[tex](y+9)(3/4)\\= y(3/4)+9(3/4)[/tex]

d) [tex](9*3/4)+y[/tex]

This expression is equivalent, as 9 and [tex]\frac{3}{4}[/tex] are still being multiplied together and y is added to the product. We can actually rearrange this to look like the original expression:

[tex](9*3/4)+y\\=y+(9*3/4)\\=y+(9*\frac{3}{4} )\\=y+9*\frac{3}{4}[/tex]

I hope this helps!

How many match sticks will there be in 6th picture

Answers

Answer:

could you put the picture?

Add the picture please.

WILL MARK AS BRAINLIST
The number 5.2 is which type of number?

Answers

5.2 is a Decimal number! Have a great day

Answer:

It is not an "integer" because it is a "decimal value".

It is not "irrational" because the decimal value terminates and does not repeat.

What is the value of x?

Answers

Answer:

x = 21

Step-by-step explanation:

ALL triangles add up to 180 degrees

180 = 22 + 57 + (5x - 4)

180 = 79 + (5x - 4)

101 = 5x - 4

105 = 5x

21 = x

Iki kişiden biri merdivenin 8. basamağında diğeri ise 20. ba-
samağında iken alttaki her saniyede 5 basamak, yukarıdaki
ise her saniyede 3 basamak yukan çıkıyor.
Kaçıncı basamakta yan yana gelirler?​

Answers

Answer:

Hey bu dosnt mantıklı, İngilizce formatı var mı? anlayabilirsem yardım edebilirim.

Teşekkürler!!

Step-by-step explanation:

When three squares are joined at their vertices to form a right triangle, the combined area of the two smaller squares is the same as the area of the largest square. Which three squares will support this statement?

Answers

I have no idea and I would like to inform you that I’m just not smart

Answer:

J

Step-by-step explanation:

Area of a square = L x W

F:

(5 x 5) + (4 x 4) = 81

25 + 16 = 81

41 = 81  INCORRECT =( X

H:

64 + (5 x 5) = (13 x 13)

64 + 25 = 169

89 = 169 INCORRECT =( X

G:

(6 x 6) + (5 x 5) = (7 x 7)

36 + 25 = 49

61 = 49 INCORRECT =( X

J:

144 + (5 x 5) = 169

144 + 25 = 169

169 = 169  CORRECT =)

HELPP ME PLSSSSSSS I NEED IT NOW PLSSS. How could you calculate the x-coordinate of the midpoint of a horizontal
segment with endpoints at (0,0) and (20,0)?

Answers

c? i’m pretty sure sorry if it’s wrong

Answer:

The correct answer is B: Count by hand and D: Divide 20 by 2

Step-by-step explanation:

I just got it correct.

Can anyone help this is due today

Answers

The answer is 40 I’m pretty sure

Mathhhhhhhhhhhhhhhhhhhh

Which statement applies?

Answers

Answer:

it is the first one because you would be deciding by 2

Venell put together a model train with 25 train cars. Each train car is 80 millimeters long. How many meters long is Venell's model train if there are no gaps between cars?

Answers

Answer:

2 meters

Step-by-step explanation:

its not hard

Marco got 15 questions wrong on his 30-question test. What is his grade as a percent?

Answers

Answer:

15

Step-by-step explanation:

The grade percentage of Marco is 50%.

What is percentage?

A percent is a dimensionless number, meaning that it has no units of measurement, since it represents a part of whatever whole is being measured.

Given that, Marco got 15 questions wrong on his 30-question test.

We need to find his grade as a percent,

So,

Since he got 15 answers wrong,

Therefore, his correct answers = 30-15.

That mean his grade in marks = 15

Now, his grade in percent = 15/30 x 100 = 50%

Hence the grade percentage of Marco is 50%.

Learn more about percentage click;

https://brainly.com/question/29306119

#SPJ2

Six friends attend a music concert and spend $27 per ticket. They each purchase a souvenir t-shirt. If the friends spend a total of $231, how much does each souvenir t-shirt cost

Answers

Answer:

11.50

Step-by-step explanation:

6x27=162

231+-162=69

69 divided by 6 is 11.5

11.5=11.50

11.50 is your answer

Answer:

$11.50.

Step-by-step explanation:

If there are 6 friends, and every ticket costs $27, then we need to multiply.

6 x 27 = 162.

Then, we subtract the cost of the tickets so we can find the total cost of the souvenir t-shirts.

231 - 162 = 69.

Since each of the 6 friends bought a souvenir t-shirt, we divide the total cost by the number of people.

[tex]\frac{69}{6}[/tex] = 11.5.

So, each t-shirt costs $11.50.

Orginally each face of the pyramid shown to the. Right was a triangke withg the dimensions 109m and 190m . How far was a corner of the base from the pyramis top

Answers

Answer:

219.05 m²

Step-by-step explanation:

Dimension of right angle triangle : 109 m and 190 m

The right angle triangle has a height of 190 m and base length of 109 m

A corner of the base from the pyramid's top is equivalent to the hypotenus of the right angle triangle :

Let :

hypotenus = c ; base = b ; height = a

Hypotenus² = opposite² + adjacent²

c² = a² + b²

c² = 190² + 109²

c² = 36100 + 11881

c² = 47981

c = sqrt(47981)

c = 219.04565

A corner of the base from the pyramid's top is 219.05 m²

If 10 apples cost $8.95, how much will 4 apples cost?

Answers

Step-by-step explanation:

here's your solution

=> cost of 10 apple = $ 8.95

=> cost of 1 apple = $8.95/10 = $ 0.895

=> cost of 4 apple = $ 0.895*4

=> cost = $3.580

hope it helps

I need help with this question!

Answers

Answer:

h+c=28

4h+2c=80

Step-by-step explanation:

The total amount of horses and chickens is 28. So h+c=28. Each horse has 4 legs. Each chicken has 2 legs. There are h amount of horses and c amount of chickens. So 4h+2c=80.

h+c=28

4h+2c=80

can someone help me with this one 2x2-18=0

Answers

Answer:

-14

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

2x-18=0

2x=18 /:2

x=9

PLEASE HELP ME A soccer field is bordered on three sides by a parking lot of width x. The total length of the field and parking lot is 300 m, and the total width is 200 m.
The area of the field is 30.000 m². How wide is the parking lot?

Answers

Answer:

Step-by-step explanation:

Assuming the parking lot is along both widths of the field and only once along the length:

 

the length is (300 - 2x)

the width is (200 -x)

the area is (300-2x)(200-x) = 30000

         60000 -300x - 400x +2x^2 = 30000

        2x^2 -700x + 30000 = 0

         x^2 - 350x + 15000 = 0

          (x    -   300    )(x   -    50    ) = 0

             x = 300 or x=50

x=300 results in negative measures.

the parking lot is x=50 wide

the length of the field is 200, the width of the field is 150

Find the volume, V, of a right circular cylinder in terms of π, if its height is 5 yards, and the radius of its base is 2 yards.

Answers

Answer:

The answer is 20

Answer:

20 on edge 2023

Step-by-step explanation:

Please Help!!!!
The drawing below shows a row of grocery carts that have "nested" together. The carts are each 32 in. long. Each cart after the first adds 11 in. Show how the length of the row depends on the on the number of carts. What would the length of a row of 20 nested carts be?

Answers

Answer:

241

Step-by-step explanation:

arithmetic sequence formula

A = a + f × (n-1)

n=the nᵗʰ term in the sequence

a=the first term in the sequence

f=the common difference between terms

31+11(20-1)=241

The circumference of a circle is?

Answers

Answer:

B?

Step-by-step explanation:

Because you know

diameter is answered into the radius then you divide by 2 if your doing a semi circle, but it's demonstrating that you can change it? I DUNNO HOW TO EXPLAIN, but i would go with B!

HELP what number is equal to -9 x(-1/3) A.-27 B.-3 C.3 D.27

Answers

Answer:

The correct answer is letter C

Step-by-step explanation:

Multiply the polynomials. (2x2 + 6x + 6)(3x - 2)​

Answers

22 because 2x2=4+6=10+6=16 3x2=6 witch means u add 16+6 and that is 22

What is the full answer to this??

Answers

Answer:

27.5

Step-by-step explanation:

Answer:

The answer is 187.5 inches

Step-by-step explanation:

If you do 15 x 12.5 you get 187.5

Martin says that f(x)=2(4)^x starts at 4 and has a constant ratio of 2. What error did Martin make? Explain.

Answers

Answer:

A general exponential equation is written as:

f(x) = A*(r)^x

Where:

A is the initial value, this is the value that the function takes when x = 0.

r is the rate of growth

x is the variable.

In this case, the function is:

f(x) = 2*(4)^x

The initial value is:

f(0) = 2*(4)^0 = 2*1 = 2

The initial value is 2.

And the rate of growth is 4.

So Martin seems to mixed these two values (he said initial value = 4, and rate  = 2, which is the opposite of what we found)

If (x + 8) = 10, determine the value of x.

Answers

Answer:

(x+8)= 10 so 8 subtracted from 8 is zero and 8 subtracted from 10 is 2 so the

the answer is 2

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