Why binomial theorem is used?

Answers

Answer 1

Binomial theorem is used to calculate the roots of the equations with highest degree in advance mathematical calculation in any subject.

Binomial theorem is represented by :

( a + b )ⁿ = ⁿC₀aⁿb⁰ +  ⁿC₁aⁿ⁻¹b¹ + ⁿC₂aⁿ⁻²b² +..............+  ⁿCₙa⁰bⁿ

When the value of n is higher it helps us to calculate the value of the given expression easily and accurately.I t helps us to calculate the roots of the equation with higher degree in advance mathematics.It also help us to prove many mathematical and Physics equations.It help us to determine the Weather forecast , in architecture calculations , and cost estimation in many engineering projects.

Therefore, the binomial theorem help us to calculate the roots of the equations with highest degree in advance mathematical calculations in many subjects.

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Related Questions

Identify the percent of change as an increase or a decrease. Then find the percent of change. Round to the nearest tenth of a percent, if necessary: 120 pounds to 180 pounds

Answers

Answer:

50%

Step-by-step explanation:

We need to find the percent change from 120 pounds to 180 pounds. We can find it as follows :

[tex]\%=\dfrac{180-120}{120}\times 100\\\\=\dfrac{60}{120}\times 100\\\\=50\%[/tex]

So, the percent change is equal to 50%.

compute the distance between (9,-5,4) and (-10,3,4)

Answers

Answer:

~20.6155

Step-by-step explanation:

To compute distance between two points, we can get the vector from one to the other by subtracting them and then computing the length of the vector.

The length of a vector V is:

[tex]|V| = \sqrt{\sum_{i=1}^n v_i^2}\\[/tex]

The vector is:

(9, -5. 4) - (-10, 3, 4) = (9 + 10, -5 - 3, 4 - 4) = (19, -8, 0)

So the length is:

[tex]\sqrt{19^2 + (-8)^2} = \sqrt{361 + 64} = \sqrt{425} = \sqrt{5\cdot 5\cdot 17} = 5\sqrt{17} \approx 20.6155281281[/tex]

find the height of the cliff.

Answers

60/5 = 12

5.6 x 12 = 67.2 ft

Round to the nearest foot: 67 ft

Um so my was asking me a question and wants me to explain it to her. She said this and I don't know what she said next. Could you "fill in the blank". Thanks!
"when you are dealing with absolute values got to be really careful about what your final step looks like.
So when you isolate your absolute value bars, if you have the absolute value of something we know this can be positive is greater than a negative number your golden cuz a positive number is always going to be greater than a negative number. But if you end up with an absolute value of something and it's less than a negative number that's never going to be true because _______________
"

Answers

Absolute value is the distance from zero, it doesnt matter if its -58 or 58 its absolute value is always going to be positive, so if you have a negative just get rid of that negative sign. Absolute value makes it all positive -492= 492 in absolute value.

PLZ HELP I NEED TO TURN THIS IN TODAY

Answers

Answer:

The top one

Step-by-step explanation:

Just count how many are in each catagory

Answer:

The First One

Step-by-step explanation:

Don't Ask How Long It Took

find the value of x and y​

Answers

Answer:

It's hard to make out which is x and y, if x is lower right and y is at the top, then:

x = 55°

y = 70°

Step-by-step explanation:

x = 55° because it is an isosceles triangle

y = 180° - 55° - 55° = 70°

Which table does not represent a relationship that is directly proportional? Btw i clicked a by accident

Answers

Answer:

The selected option

Step-by-step explanation:

Coincidentally, you answered correctly.

From the values of 3 and five, we can assume that the function of the table is Y=x+2.

But if we move to the next value pairs, that function is false.

10=6+2 that isn't correct.

If you apply this to all the pairs in the table you will find that there is not a function that represents the values given. Therefore, the first option is correct.

simplify.

#1.

9^2-1

___________

4+6^2-10





#2.

10(19-4^2)

_______________

7+3^2-1

Answers

Step-by-step explanation:

#1

9^2-1

(9×9)-1

81-1

80

#2

10(19-4^2)

10(19-16)

10(3)

30

Answer:

1. 80

2. 30

3. 15

Step-by-step explanation:

1. 9^2=81 ...81-1=80

2. 4^2= 16 so..10(19-16)-> 10(3)= 30

3. 3^2= 9 so... 7+9-1-> 7+9=16 16-1=15

Use point slope form to write the equation of a line slope intercept form that passes through the points 0,-5 and -3,4

Answers

Answer:

y + 5 = -3(x - 0)

Step-by-step explanation:

First, you find the slope. To do that, you subtract the second y point (in this case 4) by the first y point (in this case -5), and you get 9. Then, you subtract the second x point (in this case -3) by the first x point (in this case 0), and you get -3. Y is over X, so you get 9/-3 or 9 over -3, which can simplify to -3.

Next, you use the point slope formula: y - y1 = m(x - x1). Add in the y1, m, and x1, then solve if it asks you to put it in slope intercept form. So, for this case, it would be y + 5 = -3(x - 0)

Yay!!!! :D

help please also dont put links:(​

Answers

Answer:  $61.50

Step-by-step explanation:

To do this you need to first find 18% of 75 which is 13.5 or $13.50 and then subtract that from the original price being $75 and you get $61.50

HOPE THIS HELPS ^^

Answer:

The answer is 61 dollars and 50 cents. So 61.5.

True or false? Please help meee

Answers

Yes the answer is true 100%

1. Combine Like Terms: 1 + 5v + v

Answers

Answer:

1+6v

Step-by-step explanation:

1+5v+v

1+6v add the 5v and v

Suppose a cone and a cylinder both have congruent circular bases and congruent heights. How may times larger is the cylinder than the cone?

Answers

Answer:

Naruto, the cylinder's volume is 3 times that of the cone.  

Step-by-step explanation:

Cone volume = (1/3)πr2h

Cylinder volume = πr2h

So, the cylinder's volume is 3 times that of the cone.  

2. What is the measure of angle AOE and angle EOD?

X+138

x + 48

Answers

Answer:

AOE = 138, EOD = 48

Step-by-step explanation:

Since AD is the diameter of the circle and goes through the middle

angle AOE + angle EOD  = 180

Solving the equation (x + 138) + ( x+ 48) = 180

We get x = 0.


Given the quadratic sequence: 2;3; 10 ; 23 ;...
2.1.1 Write down the next term of the sequence.
2.1.2 Determine the n'h term of the sequence.
2.1.3
Calculate the 20th term of the sequence.
Given the arithmetic sequence: 35; 28; 21 ;...
Calculate which term of the sequence will have a value of -140.

Answers

Step-by-step explanation:

2.1.1 ) next term is 42

2.1.2)3n^2 - 8n + 7

2.1.3)1047

the 26th term is = -140

What is the measure of x and what is the reasoning you used

Answers

Answer:

x = 108 because of supplementary angles

Step-by-step explanation:

Solving for x:

Since x and 72 are supplemenatry angles, they'll equal to 180, so:

x + 72 = 180

x = 180 - 72

x = 108

A VERTICAL line passes through the point (4, 5). Find an equation for this line.
A)
X = 4
B)
y = 5
C)
y = 4
D)
y = 4x + 5

Answers

Answer:

A

Step-by-step explanation:

The equation of a vertical line parallel to the y- axis is

x = c

where c is the value of the x- coordinates the line passes through.

The line passes through (4, 5 ) with x- coordinate 4 , then

x = 4 ← equation of vertical line → A


f(1) = -3
f(n) = 2. f(n − 1) +1

f(2)=

Answers

f ( 2 ) = 2 × f ( 2 - 1 ) + 1

f ( 2 ) = 2 × f ( 1 ) + 1

f ( 2 ) = 2 × ( - 3 ) + 1

f ( 2 ) = - 6 + 1

f ( 2 ) = - 5

find the solution of the system of linear equations below
y = 5x +1
–5x + y = 1​

Answers

Answer:

Infinite number of solutions.

Step-by-step explanation:

Y=5x+1

-5x+Y=1

substitute value of y in first equation (5x+1) into 2nd equation

-5x+5x+1=1

0+1=1

1=1

since answer equals on both sides of the equatio, the answer is determined to be infinite.

BIG BIG POINTS!!!!!! PLEASE HELP ASAP I'M BEING TIMED!!!!!!!!!!!!!!!!!!!!!! Will mark BRAINLIEST!!!!!!!!!!!! HELP ME PLEASEEEEEEEEEEE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

The vertices of a quadrilateral in the coordinate plane are known. How can the perimeter of the figure be found?


A) Use the distance formula to find the length of each side, and then add the lengths.

B) Use the slope formula to find the slope of each side, and then determine if the opposite sides are parallel.

C) Use the slope formula to find the slope of each side, and then determine if the consecutive sides are perpendicular.

D) Use the distance formula to find the length of the sides, and then multiply two of the side lengths.

Answers

A) Use the distance formula to find the length of each side, and then add the lengths.

the answer is A :) (i need more letters lol)

David invested $68,000 in an account paying an interest rate of 5.5% compounded daily. Assuming no deposits or withdrawals are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach $93,000?

Answers

Answer:

5.7

Step-by-step explanation:

I took the bullet and got the question wrong so I shall provide the answer

hi, find the real zeros. if there are none, just say none.

Answers

Answer:

None

Step-by-step explanation:

Answer:

none

Step-by-step explanation:

cause there isnt any zero

if 3x-4y+7=0 and 2y-x^2=0 for x is greater or equal to 0 then x=
(a)1.27
(b)2.07
(c)2.77
(d)4.15
(e)5.53

Answers

The answer to this question is c

The area of a rectangle is 12x^2 - 8x - 15. The width is (2x - 3). What is the length of the
rectangle?

Answers

Answer:

6x+5 us the length of the rectangle

Step-by-step explanation:

If A = 12x² - 8x - 15 and w = 2x - 3, then..

l = (12x² - 8x - 15)/(2x - 3)

= (2x - 3)(6x + 5)/(2x - 3)

= 6x + 5 cm

write an equation for the number 40 is 5 times as many as 8 PLEASE HURRY????

Answers

Answer:

40=5×8

Step-by-step explanation:

I think, hope this helps

The equation for the number 40 is 5 times as many as 8 is; 40=5×8

What does it mean to solve an equation?

An equation represents equality of two or more mathematical expression.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

Solutions to an equation are those values of the variables involved in that equation for which the equation is true.

We are given that the number 40 is 5 times as many as 8

40 is 5 times as many as 8 means

5×8 = 40

Then the equation will be;

40=5×8

Learn more about solving equations here:

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PLEASE HELP!!!
which inequality is shown on the graph below

Answers

Answer:

do it yourself

Step-by-step explanation:

i ain't your slave

I WILL GIVE BRAINLIEST. PLEASE HELP RIGHT NOW

Answers

Answer:  Function A= (0,8)

Function B= (0,2)

{(-4,12),(0,-1),(4,0),(x,y)} =6(4.0),(x,y)

I didn’t do the last one I’m sorry

Step-by-step explanation:

Tarzan split up $21 equally among 30 winners. What decimal is equivalent to the fraction of a dollar that each winner received? Round to hundredths.​

Answers

Answer:

21/30 = 7/10 = 0.7

Step-by-step explanation:

spliting up 21 dollars among 30 winners, is dividing 21 by 30. When you do this you can simplify it to 21/30 = 7/10. 7/10 is equal to 0.7.

Answer:

$0.7

Step-by-step explanation:

As you may know, instead of saying divide. You can say split. So $21 split between 30 people would be $0.7 or 70 cents.

Help please I do not get it

Answers

3x+19 = 5x+33

3x= 5x+14

-2x=14

x= -7


y= 3(-7) + 19

y= -2

ANSWER:
(-7, -2)

Because both of the equations equal y, they also both equal eachother. Rearrange and solve for x, then plug it back in any of the equations to find the corresponding y value of the solution

Given the function f(x) = 3x - 3, explain how to find the average rate of change between x = 0 and x = 5.

Answers

Answer:

3

Step-by-step explanation:

Find f(0):

f(0) = 3*0 - 3 = - 3

Find f(5):

f(5) = 3*5 - 3 = 12

Average rate of change:

(12 - (-3))/(5 - 0) = 15/5 = 3
Other Questions
i need help with this since its due tomorrow, listing the side lengths of XYZ in order from smallest to largest You are the executive director of a nonprofit that runs an animal shelter and animal services, such as low-cost spay/neuter programs. Your biggest donor, a local foundation, has just withdrawn funding, saying that it has refocused its mission on supporting arts programs and your activities do not align with that. Unless other funding can be found, and soon, the shelter building will need to be closed, paid staff laid off, and most animals turned over to other, already crowded shelters. Your employees and volunteers are very worried and are looking to you for leadership.Which of the following do you do? Check all that apply.A. Withhold information about the organizations financial picture so that employees continue to be loyal rather than looking for other jobs.B. Hold meetings with employees, volunteers, and representatives of other local shelters and listen carefully as they brainstorm ideas.C. Honestly acknowledge the challenges the organization faces while also communicating optimism about finding the resources to fulfill your mission.D. Stay in your office as much as possible so people know youre hard at work, and when you do walk around, keep a "poker face" on so no one gets the idea that things are worse or better than they are.[ Music ]>> [Background Music] Good communication will enable lower costs, better patient care, and better patient outcomes. And technology can facilitate that. Hi. I'm Mark Allen. I'm the Clinical Information Systems Manager for the Utah South region and the rural region for Intermountain Healthcare. Intermountain is known internationally for its ability to be able to use clinical data to improve patient outcomes. 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We'll put flyers on bulletin boards. There's also some more formal documents called care process guidelines. And those are heavily researched documents that are available on the website. So, we use a combination of methods to communicate what are goals are for that year. Part of our clinical program goals almost always involves patient education because in addition to the providers, the physicians, and the nurses and the laboratory support, as patients, we are also very accountable for our health outcomes. We have standardized education. And we, that allows us to deliver a consistent message. So, when you're discharged from one facility, we have a standardized brochure and teaching information that's given. And then, again, that information is available throughout the system.>> Telehealth services is really a key that we've identified and invested in in Intermountain healthcare. We have currently 26 projects across the enterprise where we're trying to find technical solutions to be able to provide better care to the patients. We have Tele-critical care. We have Tele-psych. We have a variety of other telehealth initiatives that we're trying to initiate to provide care at the rural facilities that can't afford, you know, a neonatologist or a hospitalist. In addition, the information that we have within our system is also provided to our home health division. So, as our home health nurses are visiting patients at home, they're going to have the full history and physical of the patient and the care that they received in the hospital to be able to provide better patient care to the patients that they visit.[ Music ]According to the managers in the video, which of the following methods is Intermountain Healthcare using to promote strategic conversations in the organization? 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