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

Josh And ash order 2 whole pizzas to eat.Josh ate 5/8 slices of pizza and ash ate 6/8 slices of pizza.Who much pizza is still left?Answer:5/8 pizza slices are left.

Jack order 3/8 slices of pizza. Later Mat order 7/8 slices of pizza.What is the fraction of both pizza slices together?Answer:1 2/8.

Answers

2-5/8-6/8=16/8-5/8-6/8=5/8 pizza slices left

3/8+7/8=10/8=1 2/8 pizza slices altogether

hope it helps:))

I need some help on this, I do NOT get it lol

Answers

Answer:

Logarithmic

Step-by-step explanation:

It's literally a logarithmic function because it includes "log" which is short for logarithmic.

In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Fwam sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below. 417 visitors purchased no costume. 63 visitors purchased exactly one costume. 7 visitors purchased more than one costume. Based on these results, express the probability that the next person will purchase no costume as a decimal to the nearest hundredth.

Answers

Answer:

0.86

Step-by-step explanation:

The probability that the next person will purchase no costume is 36%.

What is probability ?

To express the probability that the next person will purchase no costume as a percent to the nearest whole number, we will use the total number of visitors to the website as the denominator and the number of visitors who purchased no costume as the numerator.

The total number of visitors to the website,

168 + 252 + 47 = 467

The number of visitors who purchased no costume = 168.

So, the probability that the next person will purchase no costume is:

168/467 = 0.360

0.3609 × 100

= 36.09

Rounding this to the nearest whole number, we get,

36%

Learn more about probability here:

brainly.com/question/14099682

#SPJ2

10. Solve for y. 3y + 6p = 9r

Answers

Answer is y = 3r - 2p

PLSSSSS HELP!!!!!!!!!

Answers

Answer:

x=30º

∠CAB=60°

∠ACB=80°

Step-by-step explanation:

Because the angles of every triangle add up to 180º, we know that:

[tex]2x+20+2x=180-40\\ 4x=180-40-20\\ 4x=180-60\\ 4x=120\\ x=\frac{120}{4}[/tex]

x=30º

Plug that in for x on both angles, and you will get

∠CAB=60°

∠ACB=80°

solve for x in the diagram below 3x 80 2x

Answers

Answer:

x= 16

Step-by-step explanation:

Answer:

x=20

Step-by-step explanation:

The three angles added up will be 180 degrees in total.

3x+80+2x=180

5x+80=180

5x=100

x=20

Find the product. 1.5m6(-2m2)4

Answers

9514 1404 393

Answer:

  24m^14

Step-by-step explanation:

It looks like you want to simplify ...

  [tex]1.5m^6(-2m^2)^4=(1.5)(-2)^4(m^6)(m^{2\cdot4})\\\\=(1.5)(16)m^{6+8}=\boxed{24m^{14}}[/tex]

__

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)^c = a^(bc)

  (ab)^c = (a^c)(b^c)

A group of students was randomly divided into two subgroups. One subgroup took a test in the morning, and the other took the same test in the afternoon. This table shows the results. Pass Fall Total Morning 28 75 Afternoon 53 22 75 Total 81 69 150 Compare the probability that a student will pass the test in the morning with the probability that a student will pass the test in the afternoon. Draw a conclusion based on your results.

Answers

Answer:C

Step-by-step explanation: I believe it is C according to my calculations

Answer:C

Step-by-step explanation:

Pls answer this I will give 10 points and brainlest for 4 to 6 answers

Answers

Answer:

I suppose we are using the given measurements.

Step-by-step explanation:

So my best guess would be, PD = 18, BP= 30, FP = 19.5 (because that's half of 39 and it's basically the same length as BF). PA = 30, and CD = 39(?)

What is the equation of a line with a point of (-12,8)and a slope of 1/2?

Answers

y-8=1/2(x+12)
it is plus twelve because if you have the minus already there, with a negative it turns positive

Solve.
-25 - (-5) = 0
PLLLSSS

Answers

Answer:

-20=0

Step-by-step explanation:

Answer: -20=0

Step-by-step explanation:

-25 - (-5) = 0

-25+5=0

-20=0

6th Grade Math:
The marked price of a water cooler is $4650. The shopkeeper offers an off-season discount of 18% on it. Find its selling price.

Answers

Answer:

$5000

Step-by-step explanation:

Find the value of the ratio.

Can someone help please???

Answers

Answer:

SOH CAH TOA.....Cosine=adj/hyp...... __cosX=16/30___

SOH CAH TOA,,,,,, Tangent= opp/adj-------- Tan X=36/27

Step-by-step explanation:

Terri is beginning a science experiment in his lab instructions called for 227 mg of potassium what is the difference between this amount and 1 gram

Answers

Answer:

773 mg

Step-by-step explanation:

1 gram = 1000 mg so the difference is:

1000 - 227

= 773 mg.

A running track has a straight stretch that measures 200m at the ends there are
semicircles with a radius of 16m. What is the distance of the running track?

Answers

Answer:

300.57 m

Step-by-step explanation:

What is the volume of a sphere having a diameter of 6 cm?

Answers

113.1 cm^3 (to the power of 3)

the distance from the center of a square to a side is 4 yd. find the perimeter of the square

Answers

4th grade math HAHAHAHAHHAAA your too young for brainly ima report you  ✋✋✋

The price of a tablet was increased from $180 to $207. By what percentage was the price of the tablet increased?

A.33%
B.8%
C.27%
D.15%

Answers

Answer:

D. 15%

Step-by-step explanation:

Find the percent increase by dividing the difference in prices by the original price

27/180

= 0.15

So, the percent increase was 15%

The correct answer is D. 15%

pls help ill mark you brainliest

Answers

Answer:

if i am not mistaking it got to be c

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

First you subtract 325 from 75 then divide the answer by 10

Solve the following equation by completing the square. x2-18x+78=0

Answers

The answer is 10.73 btw hope this helps

What is the value of x in the equation One-third x minus two-thirds = negative 18?
–56
–52
52
56

Answers

Answer:

-52, I think

Step-by-step explanation:

-52 is the the value of x in this equation

The radius of a circle is 8 in. Find its area in terms of π.

Answers

Answer:

201.06

Step-by-step explanation:

Answer:

201.06

Step-by-step explanation:

Which value can fill in the blank in the function f(x) = ____|x| to make its graph wider than that of the parent function, f(x) = |x|?

–1

1
4

Answers

Answer:

_4

Step-by-step explanation:

I took the quiz in the car 100

If we want to make the graph wider, then we must have a horizontal dilation, so the correct option will be 1/4.

How do horizontal dilations work?

A horizontal dilation is a transformation that makes the graph of a function wider.

For a function f(x) an horizontal dilation of scale factor k (with k > 1) is written as:

g(x) = f(x/k)

For the case of the absolute value function we will have:

g(x) = |x/k| = (1/k)*|x|

So we need to find the value (1/k).

Remenber that k > 1, then 0 < (1/k) < 1.

This means that the only values between 0 and 1 could fill the blank in such a way that the graph of that function is wider than the one of the parent function, so from the given options, we will take:

1/k = 1/4

Then the function is:

g(x) = (1/4)*|x|

This function will have a graph wider than the one of f(x) = |x|

If you want to learn more about transformations, you can read:

https://brainly.com/question/17586310

pls help Isabella is saving up money to buy a car. Isabella puts $7,000.00 into an account which earns 3% interest, compounded monthly. How much will she have in the account after 5 years? round your answer the nearest cent.

Answers

Answer:

$1,050

Step-by-step explanation:

√Verified.

Answer:

28,000

Step-by-step explanation:

What is the value 8x=5x+21

Answers

x = 7

8(7) = 5(7) + 21

56 = 35 + 21

56 = 56
X=7 is the answer

8x=5X+21
8x-5x=21
3x=21
X=21/3
X=7

OW has a radius of 10 mm
Right triangle XYZ is inscribed in OW
XZ is a diameter of OW
YZ = 16 mm

Answers

Answer:  triangle inscribed in a semicircle is always a right triangle, triangle ABC is a right ... With that information, we can conclude that triangle ABC is a 6-8-10 right ... Since the diameter is 10, the radius is 5. ... I am now bumping it up - doing my job.

Step-by-step explanation:

Romeo has captured many yellow-spotted salamanders. He weighs each and
then counts the number of yellow spots on its back. Which trend line best fits
the data?

Answers

Answer: D.

Step-by-step explanation:

Answer:

It's D

Step-by-step explanation:

I took the AP3X quiz and got it right. Just make sure you don't just click D on your end without looking at the graph in the question.

5 for every $2.50 10 for every ?​

Answers

Answer:

5 dollars

you do 2.50 x 2 because 5 x 2 makes 10, and you have to do what you do to one side, to the other.

Complete the steps to solve the equation - 15x - 11 = - 56.
- 15x - 11 = -56
Write the original equation.
Apply the Addition Property
of Equality.
- 15x =

X = ?

Answers

-15x-11=-56
+11 +11
-15=-45
x=3
Hope that this could help you

Antwan earned $9 for 1/2 of an hour of babysitting. At this rate, how much would Antwan make in 1 hour?​

Answers

Answer:

$18

Step-by-step explanation:

double the value of 9 to get 18

I think Antwan would make $18 for 1 hour babysitting with this rate
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