What is binomial theorem example?

Answers

Answer 1

The  expression used to represent the binomial theorem example is equal to ( 5 + 0.1 )⁴ .

As given in the question,

Example used to represents the binomial theorem is written as:

( 5 + 0.1 )⁴

Compare it with standard form and apply binomial theorem to simplify the considered example:

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

Here in the considered example :

value of a = 5

value pf b = 0.1

value pf n = 4

Substitute the value in the formula to get the value using binomial theorem:

( 5 + 0.1 )⁴

=  ⁴C₀5⁴(0.1)⁰ +  ⁴C₁5⁴⁻¹(0.1)¹ + ⁴C₂5⁴⁻²(0.1)² +  ⁴C₃5⁴⁻³(0.1)³ +  ⁴C₄5⁴⁻⁴(0.1)⁴

= 5⁴ + 4(5)³(0.1) + 6(5)²(0.1)² + 4(5)(0.1)³ + (0.1)⁴

= 625 + 50 + 1.5 + 0.02 + 0.0001

=676.5201

Therefore, the example of the binomial theorem is given by ( 5 + 0.1 )⁴.

Learn more about binomial theorem here

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Related Questions

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Use the slope and y-intercept to write an equation for the red cab.

Answers

Answer:

y = 1/4x + 6

Step-by-step explanation:

For the red cab:

Points on the graph: (0, 6) and (8, 8)

Slope:

m=(y2-y1)/(x2-x1)

m=(8-6)/(8-0)

m=2/8

m= 1/4

Slope-intercept:

y - y1 = m(x - x1)

y - 6 = 1/4(x - 0)

y - 6 = 1/4x

y = 1/4x + 6

Answer:

y = [tex]\frac{1}{4} x[/tex] + 6

Step-by-step explanation:

The slope can be determined by taking any two random pair of points on the red line.

For example, (0,6) and (4,7)

m = y2-y1 / x2-x1 = 1/4

Your y intercept is where your line intersects on the y axis. Here, it is at y = 6.

Now, you have the slope and y intercept to write the equation of the red cab.

y = [tex]\frac{1}{4} x[/tex] + 6

Help fast pls I need to pass

Answers

Answer:

help with what? you can tell me and I would be glad to answer.

Step-by-step explanation:

since multiplication is implied algebra we often don’t need to actually write the
times symbol ‘×’. Re-write this algebraic
equation without the times symbol.
a × b = 4 × c

Answers

ab = 4c
Just drop the ‘x’

please answer :) I have 7 I need somebody to answer 8 it is a 2 part question!

Answers

Answer:

question 7 would be option 4 because its saying he has AT LEAST $5, which would mean he DOES have $5 or more. Which is why you would use the "more than or equal to" sign that was used in option 4.

question 8 would be option 1 because its a closed circle that includes the $5 and its going to the right.

Step-by-step explanation:

A fish tank at a hatchery contains 25 fish. The histogram below shows the number of fish organized by weight rounded to the nearest whole ounce. One fish is taken from the tank at random. What is the probability the fish weighs at least 12 ounces?

Answers

Answer:1/5

Step-by-step explanation:

The probability the fish weighs at least 12 ounces is 1/5. Probability has several uses in games.

What is probability?

The chances of an event occurring are defined by probability. Probability has many uses in games, in business to create probability-based forecasts.

The given data in the problem is;

A fish tank at a hatchery contains = 25 fish

Fish weighs at least 12 ounces=5

probability the fish weighs at least 12 ounces=?

The probability the fish weighs at least 12 ounces is ;

[tex]\rm P = \frac{Favourable \ event }{Total\ event} \\\\ \rm P = \frac{5}{25} \\\\ P=\frac{1}{5}[/tex]

The probability the fish weighs at least 12 ounces Will be 1/5.

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The number of boys exceeded the number of girls by seven. There were 29 boys and girls. How many of each were there?

Answers

Answer:

Girls: 11

Boys: 18

Step-by-step explanation:

x: number of girls

x+x+7=29

2x=22

x=11

number of guys:

x+7=11+7=18

Mhanifa or Anyone Answer this PLZZZZZZ

Answers

Answer:

1 ABCD = 3 PQRS

Step-by-step explanation:

Given:

ABCD = PQRS

AD = PS

DC = SR

AD = PS

6 : 18

1 : 3

DC = SR

9 : 27

1 : 3

So,

1 ABCD = 3 PQRS

An item costs $370 before tax, and the sales tax is $14.80.
Find the sales tax rate. Write your answer as a percentage.


Answers

Answer:

4%

Step-by-step explanation:

370.00x4%=$14.80

FIRST ONE TO AWNSER AND IF CORRECT GETS BRAINLYIST AND 50 POINTS!!!!!
Malik asked his teacher if there was a way to check his answer after writing equivalent expressions. What should be his teacher’s response?

A. Choose a number to substitute for the variable. Find the value of each expression. If the values are even, the expressions are equivalent.

B. Substitute a number for the variable. If the simplified expressions have the same value, the expressions are equivalent.

C. Multiply each expression by the same number. If the expressions are equal, the expressions are equivalent.

D. Add a number to each expression. If the simplified expressions are equal, the expressions are equivalent.

Answers

Answer:

the answer would be A ? ig

What is the volume of the right rectangular prism with a length of 2 mm a width of 4 mm and a height of 8 mm

Answers

Answer:

2 x 4 x 8 = 64

Step-by-step explanation:

Multiply all given lengths when finding the volume of a rectangular prism.

Which of the following is a decreasing function?
y = 3(2)^x
y=2(1)^x
y=-3(1)^x

Answers

The answer is y=-3(1)^x by the negative sign in the value of a.

What is an equation of the line that passes through the point -5,7 and is parallel to the line x-5y=15

Answers

Answer:

Step-by-step explanation:

Let line to be found be Line 2

Given:

Line 1

x - 5y = 15

x - 15 = 5y

Therefore slope = 1/5

Line 2

Point = (-5,7)

Slope = 1/5

Therefore: 7 = (1*-5)/5 + c

=> 7 = -1 + c

=> c = 8

Therefore equation: y = x/5 + 8

Which items are examples of natural resources? Check all that apply.
A. lumber
B. beef cattle
C. human labor
salt
D. dairy farm

ITS MULTIPLE CHOICE

Answers

Answer:

A, Salt

Step-by-step explanation:

Natural Resources

Answer: A and D

Step-by-step explanation:

At the talent show, dancers outnumber singers by a ratio of 13 to 7 If there are 52 dancers at the talent show, how many singers are at the talent show?​

Answers

Answer:32

Step-by-step explanation: 52-20

hows is ur day going and ik how many points im giving away

Answers

Answer:

It's going good!!

I took like 3 tests today.

How's your day going? :))

A hose dispenses 1,413 cm³ of water every minute into a cone with a radius of 60 cm and a height of 150 cm.

How long will it take to fill the cone?

Use 3.14 to approximate pi.

Enter your answer in the box.

min

Answers

Answer: If 1413 cm^3 of water goes every minute into the cone, we have to divide the volume by 1413: 565,200 : 1413 = 400. Answer: It will take 400 minutes.

Step-by-step explanation:

Answer:

400 min

Step-by-step explanation:

Took the quiz

Tell whether the angles are adjacent or vertical. Then find the value of x. The angles are . Question 2 x=

Answers

Answer:

Adjacent

x = 14

Step-by-step explanation:

Find the diagram attached

Adjacent angles places side by side and can also be on the same straight line. Since 5x and x+96 are on the same straight line ans placed side by side, then the angles are adjacent.

The sum of angle on a straight line is 180 degrees, hence;

5x + x+ 96 = 180

6x = 180 - 96

6x = 84

x = 84/6

x =14

The value of x s 14

1/2 x 12 divided 2 - 2 +11
Please leave a explanation

Answers

Answer:

12

Step-by-step explanation:

1/2*12=6

6/2=3

11+2=13

13-3=10

10+2=12

P.E.M.D.A.S

Hope this helps!

Answer:

12

Step-by-step explanation:

Multiply 1/2 by 12 and get 6, divide 6 by 2 and get 3, 3-2 is 1, then add 1 and 11 to get the answer 12

Write 6431 to the nearest thousand.
the answer is 6430 ​

Answers

Answer:

the nearest thousand would be 6000

Step-by-step explanation:

above 6500 would have been 7000

Answer:

6000

Step-by-step explanation:

Can someone help me What is 20% of 56?

Answers

11.2

Solution for What is 20 percent of 56:

20 percent *56 =

(20:100)*56 =

(20*56):100 =

1120:100 = 11.2

Now we have: 20 percent of 56 = 11.2

Question: What is 20 percent of 56?

Percentage solution with steps:

Step 1: Our output value is 56.

Step 2: We represent the unknown value with x.
Therefore 20% of 56 is 11.2.
look at the image for the work!!

Which one do i chose?

Answers

Answer:

choose the third one because a third one look like talking about the degrees and length

what's the total price paid on a softball bat that costs $129.95 with a sales tax rate of 6.5%​

Answers

Answer:

about $84.47

Step-by-step explanation:

6.5%=0.65

129.95x0.65=84.4675

                    =84.47

factor completely

p^2+7p+10​

Answers

Answer:

p2+7p+10 = (p + 5)(p + 2)

Step-by-step explanation:

(P+5) x (p+2). Write 7p as the sum. Factor out p from the expression. Factor out 2 from the expression. Factor out p+5 from the expression.


If correct ill give brainlist

Answers

Answer:

x> y-300/12

Step-by-step explanation

1. Subtract 300 from both sides

2.  Divide both sides by -12

3. Switch the sides

Describe the likelihood of the following statement.
You find two parallel line that intersect.

Answers

the answer is impossible
The answer is impossible

what is the equation of this graph?

a) y=-1
b) x=-2

Answers

Answer:

a) y=-1

Step-by-step explanation:

Graph is intersecting y-axis at (0,-1)

So equation of the graph is y = - 1

In Exercises 10 and 11, the polygons are similar. Find the value of x.

Answers

Answer:

10) x/6 = 4/8

8x = 6 x 4 = 24

x = 3

11) x/15 = 12/8

8x = 15 x 12 = 180

x = 22.5

In a circle with radius 2, an angle measuring 3pi/4 radians intercepts an arc. Find the
length of the arc in simplest form.

Answers

Answer:

2

Step-by-step explanation:

2 plus 2 equals 4 so thats you answer god bless you

which equation represents the tape diagram?

Answers

Answer:

25= 10+w

Step-by-step explanation:

Ten and w add up to 25 so yeah

Answer:

A and C

Step-by-step explanation:

25-w=10

and

25-10=w

I dont know why its both but it is

Write and evaluate two equivalent numerical expressions that show Distributive Property of Multiplication

Answers

Answer:

2(x+5) = 2x+10

Step-by-step explanation:

I'm assuming you can use any possible combination of two equivalent numerical expressions for your question.

2(x+5) = 2x+10

2 times x is 2x. 2 times 5 is 10. So, you get 2x+10

The distributive property of multiplication involves taking the product a certain value and another variable joined by either an addition or subtraction operator.

3(x + 5) = 3x + 15

For instance :

a(b + c) = a×b + a×c = ab + ac

The expressions below shows distributive property of multiplication :

3(x + 5) and 3x + 15 exhibits the distributive property of multiplication.

3(x + 5)

Opening the bracket :

3×x + 3×5 = 3x + 15

Hence,

3(x + 5) = 3x + 15

Learn more on distributive property : https://brainly.com/question/11338001?referrer=searchResults

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