Which of the following statements regarding Pascal's triangle are correct?
A. The coefficients of (x + y)" are given by the nth row of Pascal's
triangle.
B. Each row is a "palindrome" – that is, it is the same if read from
left to right or from right to left.
C. The nth row gives the coefficients in the expansion of (x + y)21.
D. To generate Pascal's triangle, add adjacent terms on a row to
determine the term directly below them.

Answers

Answer 1

Answer: PLEASE READ: The coefficients of (x + y)n are given by the nth row of Pascal's triangle. To generate Pascal's triangle, add adjacent terms on a row to determine the term directly below them. Each row is a "palindrome"- that is, it is the same if read from left to right or from right to left.

Step-by-step explanation: A P E X


Related Questions

Xander takes a quiz worth 200 points. Each question is worth 40 points. Sketch a graph to show his score if he misses 1,2,3,4 or 5 questions.

Answers

Answer:

Miss 1: 160

Miss 2: 120

Miss 3: 80

Miss 4: 40

Miss 5: 0

Step-by-step explanation:

Mark brainliest pls

Please Help. Write an equation of the line that passes through (1,2) and is perpendicular to the line
that passes through y=-3x - 4

Answers

Answer:

[tex]y=\frac{1}{3}x+\frac{5}{3}[/tex]

Step-by-step explanation:

Slope of [tex]y=-3x-4[/tex] is the m of the general equation [tex]y=mx+b[/tex] which [tex]-3[/tex] The slope a line perpendicular to this line is the number that if multiplied with -3 will give us -1  so that [tex]\frac{1}{3}[/tex] With that slope and the point [tex](1,2)[/tex] use the formula[tex]y-y_1=m(x-x_1)\\y-(2)=\frac{1}{3} (x-(1))\\y-2=\frac{1}{3}x-\frac{1}{3}\\y=\frac{1}{3}x+\frac{5}{3}[/tex]

Which statements are true about the solution of 152 22+x? Select three options.
O x2-7
OXS-7
The graph has a closed circle.
0-6 is part of the solution.
0-7 is part of the solution.

Answers

Answer:

it's a c e actually......

The true statements about 15 ≥ 22 + x are

x ≤ -7, the graph has a closed circle and -7 is part of the solution.

How to determine the true statements?

The inequality is given as

15 ≥ 22 + x

Subtract 22 from both sides

-7 ≥ x

Rewrite as:

x ≤ -7

The ≤ implies that the solution is a closed circle, and the other true statement is: (e) -7 is part of the solution.

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Please help 30 points If do it is also timed so hurry

Answers

Answer:

It's the first one.

Step-by-step explanation:

0.6 represents 60%.

7 1/2 ÷ (4 1/2 - 5 1/8)

Answers

Answer:

-12

Step-by-step explanation:

7 1/2 ÷(4 1/2 - 5 1/8)

7 1/2 ÷ -5/8

7 1/2* -8/5

-12

a. What is the y-intercept?

b. What is the slope?

c. What is the equation of the line in slope-intercept form?

Answers

Answer:

slope is (2/3)x.   equation is y=(2/3)x-1

Step-by-step explanation:

Determine the constant of proportionality in the situation below.

Every bag of peanuts costs $3.55

Answers

Answer:

The constant is that every bag costs $3.55

Step-by-step explanation:

When the bag of peanuts costs $3.55 then Constant of proportionality is 3.55

What is constant of proportionality?

The constant of proportionality is the ratio between two directly proportional quantities

Here,

Every bag of  peanuts costs $3.55

Consider the number of bags =  x

Cost of the peanut bag = y

Therefore

y is directly proportional to x

y = kx

Where k is the constant of proportionality

k = [tex]\frac{y}{x}[/tex]

if the cost of the one bag is $3.55

Then [tex]k=\frac{3.55}{1}[/tex]

k=3.55

Hence, When every bag of peanuts cost constant of proportionality is 3.55

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100 points!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! please help

Answers

Answer:

fhetdg55541378u c4i58454v.

Answer:

Bro, it literally shows how many points and it shows 5 dumb dumb

Step-by-step explanation:

In general, how do the slopes of line segments in the image compare with the slopes of corresponding line segments in the preimage? What effect does the scale factor of the dilation have on the slopes, if any?

Answers

Answer:

The slopes of the line segments are the same before and after dilation. The value of the scale factor n does not affect the slopes in the image.

Step-by-step explanation:

Plato simple answer

The slopes of the line are the same before and after dilation. The value of the scale factor n does not affect the slopes in the image.

How does dilation works?

Dilation of a figure will leave its sides get scaled (multiplied) by same number.

Dilation if, is from the center of the rectangle, then distance of all the points of the rectangle from its center will get scaled by that dilation factor.

Slope:

We know that the slope is the ratio of change in y-value and change in x-value.

So, after dilation

m---->m

Length of line:

The length of line =x

so, it's length will become nx.

The slopes of the line are the same before and after dilation. The value of the scale factor n does not affect the slopes in the image.

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Ben has a cellphone plan where he pays $12 per
month plus $.10 per minute of talk time. The equation
y = 0.10x + 12 can be used to find his monthly phone
bill y given the number of minutes x he spends talking.
Which set or inequality represents a reasonable range
of the function?
F. 50, 126
H. 12 … y
G. 0 … y … 12
J. 0 … y

Answers

Answer:

H

Step-by-step explanation:

I have done the work before

The radius of a sphere is increasing at a rate of 5 mm/s. How fast is the volume increasing when the diameter is 100 mm?

Answers

Answer:

157,143 mm/s

Step-by-step explanation:

Formula for the volume of a sphere is;

V = 4/3 * pi * r^3

dv/dr = 4 pi r^2

dv/dt = dv/dr * dr/dt

dr/dt = 5 mm/s

dr/dt = 4 * pi * r^2

r = d/2 = 100/2 = 50 mm

dr/dt = 4 * 22/7 * 50^2 = 220,000/7

dv/dr = 220,000/7 * 5 = 157,142.8571428571

Approximately 157,143 mm/s

Which statement best describes points P and Q?

Answers

Answer:

i need more info

Step-by-step explanation:

A piece of brass contains 1.66 grams of copper and 0.34 gram of zinc. What is the mass of the piece of brass in grams?

Answers

It would be 2 grams

Answer:

The mass would be 2.

Step-by-step explanation:

1.66 + 0.34 is 2.

Given PQR is congruent to STU, find the value of x​

Answers

Answer:X=15 Y=4

Step-by-step explanation:

1. PR=US or 3y=12 divide 3y by 3 and cancel 3 out then divide 12 and get Y=4.

2. QR=TU or 2x=30, divide 2x by 2 and cancel out 2, then divide 30 by 2 and get X=15.

3. PQ=ST or 64=4x+y or 64=4(15)+4 and get 64=64

The radius of a spherical ball is increasing at a rate of 2 cm/min. At exactly what rate (in cm2/min) is the surface area of the ball increasing when the radius is 9 cm?

Answers

Answer:

9th min?

Step-by-step explanation:

lol sorry im set 4 maths

144π cm²/min is the surface area of the ball increasing when the radius is 9 cm.

What is Surface area?

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

Given,

Radius of a spherical ball is increasing at a rate of 2 cm/min.

We need to find exactly what rate (in cm2/min) is the surface area of the ball increasing when the radius is 9 cm

S = surface area at time t,  and r = radius at time t

r=9cm

dr/dt = 2 cm/min

S = 4πr²

Differentiate with respect to t

ds/dt=2.4πrdr/dt

=8πr(2)

=16πr

=16π(9cm)

=144π cm²/min

Hence 144π cm²/min is the surface area of the ball increasing when the radius is 9 cm.

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The football team won 16 games, and they lost four. What is the ratio of games won to number of games played?​

Answers

Answer:

4:1

Step-by-step explanation:

Need and answer ASAP please helppp
1. Name the line that represents the diameter
2. Name the line that represent the radius ​

Answers

Answer:

Diameter is Line D and Radius is Line R

Step-by-step explanation:

I don't really know how to explain it because I've known this for years now lol.

The ratio of two supplementary Angles is 2:7 what is the measure of the smaller angle
1 10
2 14
3 20
4 40

Answers

The answer to your question is 4:40
4:40


(i need my answer to be 20 characters long)

1.
40% of the house plants were watered today. 320 house plants were watered. Which equation can be used to find how many plants there were?

Answers

Answer:

0.40x = 320

Step-by-step explanation:

40 = percent, 320 = part. Write the percent as a decimal and multiply by the whole.

Please give me the correct answer.​

Answers

Answer:

One thing I see here is that we have to open the parenthesis by multiplying 4 by (n+10), so the option that says "Multiply (n + 10) by 4." Not sure how I can show explanation for this question.

The area of a rectangle is a 40 square inches. The width of the rectangle is 4 inches more than the length. What are the dimensions of the rectangle?

Answers

Answer:

I think 10

Step-by-step explanation:

because 4 times 10 is 40 and 4 side so 10 for each side

The dimensions of the rectangle are 4.63 inches and 8.63 inches respectively.

Let the length of the rectangle be L.Let the width of the rectangle be W.

Given the following data:

Area of a rectangle = 40 square inches.

Translating the word problem into an algebraic equation, we have;

[tex]W = L + 4[/tex]

To find the dimensions of the rectangle:

Mathematically, the area of a rectangle is given by the formula;

[tex]Area = LW[/tex]

Substituting the values into the formula, we have;

[tex]40 = L(L+4)\\\\40 =L^2+ 4L\\\\L^2+ 4L -40=0[/tex]

Solving the quadratic equation by using the quadratic formula, we have the following values;

L = 4.63 or −8.63

Length, L = 4.63 inches.

For the width:

[tex]W = L + 4[/tex]

[tex]W = 4.63 + 4[/tex]

W = 8.63 inches

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Which of the following transformations would result in two congruent triangles?
A
vertex I should be moved up 5 units
B
vertex x should be moved down 10 units
c
vertex y should be moved left 4 units
D
vertex Z should be moved left 4 units


Help pls!!!

Answers

Answer:

B

Step-by-step explanation:

I just did it in illuminate

Para la clase de Ciencias cada 1 de los estudiantes puso a germinar un grano de frijol
luego de 2 semanas cada 1 midió la altura de su planta en centímetros los resultados
se muestran a continuación
a. Halla la media, Halla la moda, Halla la mediana
b. Responde las siguientes preguntas: cuántas plantas crecieron 10, 11 y 12 cm cuantas plantas crecieron mas de 12 centimetros, cual fue el promedio de
crecimiento de las plantas (para esto saca la media), cual fue el crecimiento que mas
veces se repitió (para esto halla la moda)

Answers

Answer:

uhhh

Step-by-step explanation:

-243 = -9(10 + x)

.......

Answers

Answer:

4x

Step-by-step explanation:

EDG 2020

Ms. Andrew currently earns $4,225 per month. She will receive a 17% increase in pay beginning next month. How much can she expect to earn next month, to the nearest cent?

Answers

the other dude is right

Ms. Andrew can expect to earn $4,942.25 next month, to the nearest cent.

What is a percentage?

A ratio or value that may be stated as a fraction of 100 is called a percentage. Moreover, it is indicated by the symbol "%."

To calculate Ms. Andrew's new monthly salary, we need to add 17% of her current salary to her current salary:

New salary = Current salary + 17% of current salary

New salary = $4,225 + 0.17($4,225)

New salary = $4,225 + $717.25

New salary = $4,942.25

Therefore, Ms. Andrew can expect to earn $4,942.25 next month, to the nearest cent.

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what is 168 divided by 12 but using estimation

Answers

Answer:

14

Step-by-step explanation:

The division of the number 198 by 12 is approximately 17.

A mathematical process known as division can be used to divide a sum of money into equal parts or to calculate how many times one number can be found inside another.

A quotient is produced as a result of dividing a dividend (the number being divided) by a divisor (the number by which the dividend is divided).

To estimate the division of 168 by 12, we can use rounding to simplify the calculation.

Round the numbers to a more manageable value. In this case, we can round 168 to 170 and 12 to 10.

Divide the rounded numbers. 170 divided by 10 is equal to 17.

Therefore, an estimated answer to the division of 168 by 12 is approximately 17.

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A total of 2,000 square feet is to be enclosed in two pens, separated by a chain link fence. The outside walls are to be constructed of brick. The brick wall costs $20 per linear foot and the chain link costs $4 per linear foot. Find the dimensions that minimize the construction cost

Answers

Answer:

Dimensions that minimize is; 20 ft x 100 ft

Step-by-step explanation:

Let the width and length be x and y respectively.

We are given area as 2000 Sq.ft.

Thus;

xy = 2000 - - - (eq 1)

We are told that the brick wall costs $20 per linear foot and the chain link costs $4 per linear foot. Thus;

C(x) = 20x + 4y

From eq(1),y = 2000/x

Thus;

C(x) = 20x + 4(2000/x)

C(x) = 20x + 8000/x

To minimize this, we will differentiate and equate to 0.

Thus;

C'(x) = 20 - 8000/x²

Equating to zeeo;

20 - 8000/x² = 0

20 = 8000/x²

20x² = 8000

Divide both sides by 20;

x² = 8000/20

x² = 400

x = √400

x = 20 ft

Putting 20 for x in eq 1,we have;

20y = 2000

y = 2000/20

y = 100 ft

the breadth of a rectangular plot is 20 m less than its lengths find its dimensions if its perimeter is 120​

Answers

Answer:

breadth = 25m

length= 35m

Step-by-step explanation:

perimeter is distance all round a figure

in a rectangle we have two pairs of  opposite but equal lines

breadth = 2x( because of the two breadths in a rectangle) - 20

length = 2x(  because of the two lengths in a rectangle)

perimeter = 2x + 2x - 20

120 = 4x - 20

120 + 20 = 4x

140 = 4x

35 = x

to get the dimensions, we have to divide by 2 as we took both parts of each dimension

breadth = 2x - 20

                     2

             =2(35) - 20

                      2

              = 70 - 20

                      2

              = 50m

                   2

               = 25m

length = 2x

              2

        = 2(35)

              2

        = 70m

              2

           = 35m

Which of the following is equivalent to 4/20? 1. 1/10 2. 3/15 3. 3/19 4. 2/12

Answers

I would suggest trying 3/15 but I could be wrong

Answer:

3/15=1/5

Step-by-step explanation:

4/20=3/15

3/15 is not all the way simplified. So i'm going to make it simple.

3 divided by 3=1

15 divided by 3=5

1/5 x 4=4/20

4/20 divided by 1/5=4

3) Yellow Stone National Park is a popular field trip destination. This year the senior class at High
School A and the senior class of High School B both planned trips there. The senior class at High
School A rented and filled 4 vans and 2 buses with 142 students. High School B rented and filled 2
vans and 4 buses with 206 students. Every van had the same number of students in it as did the
buses. Find the number of students in each van and in each bus.

Answers

Answer:

Find the number of students in each van and in each bus?

13 students can fit in van and 45 students can fit in bus

There were 13 students in each van and 45 students in each bus for both High School A and High School B.

Let's assume that the number of students in each van is "v" and the number of students in each bus is "b".

From the information given, we can form the following equations:

Equation 1: 4v + 2b = 142 (High School A)

Equation 2: 2v + 4b = 206 (High School B)

We can start by multiplying Equation 1 by 2 and Equation 2 by 4 to eliminate the "b" variable:

2 * Equation 1: 8v + 4b = 284

4 * Equation 2: 8v + 16b = 824

Now, we subtract Equation 1 from Equation 2:

(8v + 16b) - (8v + 4b) = 824 - 284

12b = 540

b = 540 / 12

b = 45

Substitute the value of "b" back into Equation 1:

4v + 2(45) = 142

4v + 90 = 142

4v = 142 - 90

4v = 52

v = 52 / 4

v = 13

Therefore, there were 13 students in each van and 45 students in each bus for both High School A and High School B.

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