I would really appreciate helping me find the answer. My dad isn’t home to help me

I Would Really Appreciate Helping Me Find The Answer. My Dad Isnt Home To Help Me

Answers

Answer 1

The coefficient of p²s¹⁰ in binomial expansion of (2p-s)¹² is 66.

Understanding Binomial Expansion

The binomial theorem states that for any binomial expression

(a + b)ⁿ,

the term with the general form

[tex]a^{n - k} * b^k * C(n, k)[/tex]

where C(n, k) represents the binomial coefficient,

gives the coefficient of that term.

We are given (2p - s)¹².

We need the term with:

p² and

s¹⁰

Therefore, we need to find the coefficient of the term:

[tex]a^{12 - k} * b^k * C(12, k)[/tex]

in the expansion.

Given:

a = 2p,

b = -s, and

n = 12.

We want to find the value of k that corresponds to p²s¹⁰.

The power of p in the term is (12 - k), and the power of s is k. So, we set up the equation:

12 - k = 2  (for the power of p)

k = 10   (for the power of s)

To find the coefficient, we can substitute these values into the binomial coefficient formula:

C(12, 10) = [tex]\frac{12!}{10! * (12 - 10)!}[/tex]

= [tex]\frac{12!}{10! 2!}[/tex]

Now, we can calculate the coefficient:

C(12, 10) = [tex]\frac{12 * 11 * 10!}{10! * 2}[/tex]

         = 66

Therefore, the coefficient of p²s¹⁰ in the binomial expansion of (2p - s)¹² is 66.

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Related Questions

What is 3 3/4 - 2 1/3

Answers

Answer:

1 5/12

Step-by-step explanation:

decimal form, 1.416

Answer:

3 1/4 + 2 1/3 = 67/

12

= 5 7/

12

≅ 5.5833333

Step-by-step explanation:

A right circular cylinder is 3m high and the circumference of its base is 22m. Find its curved surface area.​

Answers

Answer:

height of cylinder =3m

circumference =22m

curved surface area=2×pi×radius×height

curved surface area =22m×3m

curved surface area =66m²

A piece of machinery was purchased by a factory. It depreciates at 10percent every year. At the end of second year its value is rs 1,29,600.What is the cost price​

Answers

Answer:

160000

Step-by-step explanation:

Let the cost price = x

At the end of the first price, it loses ten percent = 0.9x

At the end of the second year, it loses an extra ten = 0.9(0.9x)= 0.81x

0.81x=129600

x=160000

After substituting, what is the first step when evaluating (4y+9)/7 when Y = 8
✧・゚: *✧・゚:*✧・゚: *✧・゚:*✧・゚: *✧・゚:*✧・゚: *✧・゚:*
A. Add 4 and 9.
B. Multiply 8 by 4.
C. Divide 9 by 7.
D. Divide 4 by 7.
✧・゚: *✧・゚:*✧・゚: *✧・゚:*✧・゚: *✧・゚:*✧・゚: *✧・゚:*​

Answers

Answer:

B. Multiply 8 by 4 is the answer

please answer correctly and quickly

Answers

Answer:

#6:10

Step-by-step explanation:

Answer:

#9 is x=14

#7 is C 138

#6 is x=10

#5 is p=40

What errors did her coach make in the following example

Answers

Answer:

its the last one & the 3rd one.

hope that helps

In a video game, a bird is flung on a sling shot and follows a parabolic path. The path of the bird can be modeled by the equation h=-16t²+55t+50, where h is the height of the bird t and is the amount of time, in seconds, the bird has been in the air. How long will it take the bird to reach a height of 40 feet in the air for the first time?

Answers

9514 1404 393

Answer:

  3.61 seconds

Step-by-step explanation:

The bird starts 50 feet in the air, so will come down to a height of 40 feet after 3.61 seconds.

We want to solve h = 40.

  40 = -16t^2 +55t +50

  16t^2 -55t -10 = 0

  t = (55 +√(55^2 -4(16)(-10)))/(2(16)) = (55 + √3665)/32 ≈ 3.61060

The bird will be 40 ft above the ground the first time after about 3.61 seconds.

!BRAINLIST! please help me with this QUICK!

Answers

Answer:

Corresponding

Co-interior

None

Alternate exterior

Alternate interior

Corresponding

Canada was once a British colony. Based on the information presented in the movie, what can you infer about Canada?

Answers

Answer:

In 1763, Canada formally became part of British Empire. The colony of Canada was enlarged under the province of Quebec.

Step-by-step explanation:

Modern day Canadian province was once British Colony. In 1949, Newfoundland became part of Canada instead of British Colony. The information presented in the movie is about the British Empire that governed the Canadians. After the free from British rule Canada was free to act in his own way in the country. The country also gained financial independence.

HELP I NEED HELP ASAP

Answers

Answer:

d.

Step-by-step explanation:

Answer:

option c I guess - "It increases exponentially "

b-3/15=1 What does b equal??

Answers

Answer:

1 3/15

Step-by-step explanation:

All you have to do is add 3/15 to both sides of the equation:

b - 3/15 = 1

b = 1 3/15

Write the expression in expanded form (1 + 3b)(6)

Answers

Answer:

Answer Expert Verified

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Identity:

An identity is an equality which is true for all values of a variable in the equality.

(a + b)³ = a³+ b³+ 3ab(a + b)

In an identity the right hand side expression is called expanded form of the left hand side expression.

---------------------------------------------------------------------------------------------------

Solution:

(i) (2x + 1)³

Using identity

(a + b)³ = a³+ b³+ 3ab(a + b)

(2x + 1)³

= (2x)³ + 1³ + (3×2x×1)(2x + 1)

= 8x³+ 1 + 6x(2x + 1)

= 8x³ + 1 + 12x² + 6x

(ii) (2a – 3b)³

Using identity,

(a – b)³ = a³–b³ – 3ab(a – b)

(2a – 3b)³ = (2a)³– (3b)³ – (3×2a×3b)(2a – 3b)

=8a³–27b³–18ab(2a –3b)

= 8a³–27b³–36a²b + 54ab²

(iii) [3x/2  + 1]³

Using identity,

(a + b)³ = a³+ b³+ 3ab(a + b)

[3x/2 +1]³

=(3x/2)³+1³+ (3×(3x/2)×1)(3x/2+ 1)

=27x³/8+1+9/2x×(3x/2+1)

= 27x³/8 + 1 + 27/4 x² + 9/2x

= (27/8)x³ + (27/4) x² + 9/2 x + 1

(iv) [x–2/3 y]³

Using identity,

(a - b)³=a³-b³-3ab(a-b)

(X+ 2/3y)³

= (x)³–(2/3 y)³– (3×x×2/3 y)(x – 2/3 y)

= x³– 8y³/27–2xy(x – 2/3 y)

= x³– (8/27)y³–2x²y+ 4/3xy²

=========================================================

Hope this will help you....

Step-by-step explanation:

- (cd2 + 4c + 21)

simplify it?

Answers

Answer: = -cd^2 - 4c - 21

Step-by-step explanation:

It‘s suppose to read negative cd the 2 is squared - 4c - 21

Ten people put 63 boxes on a red truck and 38 boxes on a blue track About how many boxes did they load in all

Answers

Answer:

63+38=101

Step-by-step explanation:

2/3 times 3/4 I need an sender

Answers

Answer:

6/12 but to simplify it would be 1/2

Answer:

[tex]\frac{2}{3} *\frac{3}{4}[/tex]       = 1/2

Step-by-step explanation:

2/3 * 3/4

6/12=1/2

determine if JK and LM are parallel, perpendicular,or neither . HELP AND PLS SHOW WORK !!

Answers

Answer:

1) not parallel

2)not parallel

Step-by-step explanation:

fist one intersect already

and second one will eventually intersect

Answer:

1 - Perpendicular.

2 - Neither.

Step-by-step explanation:

Use the slop formula to find the slope of the two sides.

[tex]m = \frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

[tex]JK = \frac{4-9}{7-1} = \frac{-5}{6}[/tex]

[tex]LM = \frac{1-13}{-2-8} = \frac{-12}{-10} = \frac{6}{5}[/tex]

Perpendicular - because a line that is perpendicular to another must have a slope that is the negative reciprocal of the first line.

[tex]JK = \frac{6-(-5)}{2-13} = \frac{11}{-11} = 1[/tex]

[tex]LM = \frac{-2-(-5)}{-4-(-1)} = \frac{3}{-3} = -1[/tex]

Not Parallel. Nor perpendicular.

What is 25% of 160?
Instructions
100 of 100 words remaining
BUI EEE Tv
b. What is 39 of 2007
Instructions
100 watt
Done and Review
2021

Answers

first answer is 40. u use is/of and divide second is 782.73

Answer:

I have no idea what ur saying

Step-by-step explanation:

Can someone help me please. I have to show my work.

Answers

Answer:

Step-by-step explanation:

1. P = (width + lengh) * 2 = (23 + 10) * 2 = 33 * 2 = 66

  A = width * lengh = 23 * 10 = 230

2. width = 7

 P = (width + lengh) * 2 = ( 7 + 9) * 2 = 16 * 2 = 32

Answer:

4. area= 230cm^2 perimeter= 66cm

5. width= 7m  perimeter= 32m

Step-by-step explanation:

4. a = w*l

23cm*10cm=230cm^2

p= add all sides

23cm+23cm+10cm+10cm=66cm

5. w= a/l

63m^2/9m=7m

p= add all sides

7m+7m+9m+9m=32m

need help with this question

Answers

Answer:

bc=-4

Step-by-step explanation:

4x -1 is -4. because your adding a negative and a positive

Answer:

-4

Step-by-step explanation:

thats the answer

Which expressions are equivalent to 56x + 24 divided by 8?


A.7x + 24


B.56x + 24

8


C. 8(24 + 56x)


D.3x + 7


F.3 + 7x

Answers

The expression (56x + 24) / 8 is equivalent to the expression will be 7x + 3. Then the correct option is F.

What is an equivalent expression?

The equivalent is the expression that is in different forms but is equal to the same value.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ (56x + 24) / 8

Simplify the expression, then we have

⇒ (56x + 24) / 8

⇒ (56/8)x + 24/8

⇒ 7x + 3

The expression (56x + 24) / 8 is equivalent to the expression will be 7x + 3. Then the correct option is F.

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An expression equivalent to 56x + 24 divided by 8 is 3x+7. So, option F. is correct.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given the following expression:

56x + 24

It is required to divide the given expression by 8,

Thus, dividing the expression by 8 as follows:

[tex]\dfrac{56x+24}{8}\\\\\dfrac{56x}{8}+\dfrac{24}{8}\\\\7x+3[/tex]

Thus, 3+7x is the expression equivalent to 56x + 24 divided by 8. So, option F is correct.

Learn more about mathematical operation, here:

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Answer this question and you get brainiest? Also 85 points so answer it correctly and it’s all yours btw i put the picture up so you can answer it . Thanks

Answers

Answer:

114

Step-by-step explanation:

those angles are supplementary meaning that they will add up to 180. 180-66=114 so x=114

9x -7u > 9x -21u
solve please :)

Answers

Answer:

(-∞,∞) is your answer sorry if it looks like a face

Step-by-step explanation:

4 _ (3 _ 2) _ 6 _ 1 = 14 Please help ill give you brainly!

Answers

4x(3+2)-6x1= 14 is the answer

i need help with this anyone pleaseee

Answers

Answer:

41 dollars

Step-by-step explanation:

3r+2.5p is the cost of roses and petunias, just  number of roses as r and petunias as p:

3(7) + 2.5(8)=

21+20=41 dollars

HELPP PLSSSS Im failing school :(

Answers

Answer:

D.540

if im wrong sorry

Step-by-step explanation:

1/4 to 1/2

Find a percent of change, round to the nearest 10th of a percent if necessary.

__% of increase or decrease (ANSWER ASAP)

Answers

Given:

[tex]\dfrac{1}{4}\text{ to }\dfrac{1}{2}[/tex]

To find:

The percent of change, round to the nearest 10th of a percent.

Solution:

We have,

Initial value = [tex]\dfrac{1}{4}[/tex]

New value = [tex]\dfrac{1}{2}[/tex]

We know that, the percentage change is

[tex]\%\text{ change}=\dfrac{\text{New value - Initial value}}{\text{Initial value}}\times 100[/tex]

Putting the given values, we get

[tex]\%\text{ change}=\dfrac{\dfrac{1}{2}-\dfrac{1}{4}}{\dfrac{1}{4}}\times 100[/tex]

[tex]\%\text{ change}=\dfrac{\dfrac{2-1}{4}}{\dfrac{1}{4}}\times 100[/tex]

[tex]\%\text{ change}=\dfrac{\dfrac{1}{4}}{\dfrac{1}{4}}\times 100[/tex]

[tex]\%\text{ change}=1\times 100[/tex]

[tex]\%\text{ change}=100\%[/tex]

Here, the % change is positive, it represents the percent increase.

Therefore, the percent of change is 100% of increase.

For which equation is 3 a solution(I need help)

Answers

Answer:

B

Step-by-step explanation:

I did it on paper

find the value of x

Answers

Answer:

x=32

Step-by-step explanation:

52=whatever angle x+20 is.

How many solutions does this equation have?
4v = 6v − 2v

no solution
one solution
Infinitely many solutions

Answers

Answer:

Infinitely many solutions.

Step-by-step explanation:

4v=6v-2v  Combine like terms.

4v=4v       These are already equal without diving, so there are infinitely many solutions.

Hope this helps and have a nice day ❤

Answer:

Infinitely many solutions

Step-by-step explanation:

4v=6v-2v

4v=4v

when two expressions on opposite sides of an equals sign are equivalent, that means there are infinitely many solutions

P.S. Please mark me Brainliest if it is correct.

Sorry um but help pleasee

Answers

Answer:

For the first one the answer is the 2nd and 3rd one

Step-by-step explanation:

the 2nd one is the 2nd and 3rd one

make brainliest please

I hope i am rigth

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