Find the 3rd term in the expansion of (a+b)^8 in simplest form.

Answers

Answer 1

Answer:

The fifth term is the middle term of nine, with coefficient given by all the ways of choosing  4  items out of  8 , namely the ways of choosing  4   a 's out of  8  binomial factors.

Step-by-step explanation:

Answer 2

The third term of the expansion is 56a⁵b³

How to determine the third term?

The expression is given as:

(a + b)^8

The above expression is a binomial expression, and the nth term of the expression is:

(a + b)^n = nCr * a^(n - k) * (b)^k

Where k = 0, 1, 2.....

So,we have:

(a + b)⁸ = ⁸C₃ * a⁸⁻³ * b³

Evaluate the combination expression

(a + b)⁸ = 56a⁵b³

Hence, the third term of the expansion is 56a⁵b³

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Related Questions

find the value of x. round your answer to the nearest tenth.

Answers

the answer is C. 7.2

What is the solution to the equation? a+5 2/3=9​

1. a+5 2/3=9
a+5 2/3+5 2/3=9-5 2/3
a=3 1/3

2. a+5 2/3=9
a+5 2/3+5 2/3+=9+5 2/3
a=14 2/3

3. a+5 2/3=9
a+5 2/3-5 2/3=9+5 2/3
a=14 2/3

4. a+5 2/3=9
a+5 2/3-5 2/3=9-5 2/3
a=3 1/3

Answers

1-a=31/3
Step-by-step
a+52/3=9
a+17/3-17/3=9-17/3
a=10/3=3 1/3
Hope this help☺️

Answer: 1-a=31/3

Step-by-step

Step-by-step explanation:

I asked my math teacher, we did the problem together, and I belive this other guy is also right.

Renita's school is 2 miles from her house. She plans to leave 30 minutes before school and hopes to make it on time. How long will it take Renita to ride to school?

Answers

Answering is 20:

Step-by-step explanation:

Because it takes her 5 min for a half of mile so add it up and you get 20

What is 35% of 500?
Help please

Answers

Answer:

175

Step-by-step explanation:

500 times 35/100

simplify

Answer:

175

Step-by-step explanation:

You have a jar of 20 jellybeans, and 4 are red. Which fraction represents the probability that you will pick a red jellybean out of the jar?
A) 4/20
B) 16/20
C) 20/4
D) 20/16

Answers

Answer:

A

Step-by-step explanation:

A probability as a fraction has a value between 0 and 1. That lets out C and D.

B is the answer to a probability of not red, so B is not correct.

The answer is A

The answer would be A (4/20)

the diagram shows a parallelogram. work out the value of x​

Answers

Answer:

x = 39

Step-by-step explanation:

The opposite angles of a parallelogram are congruent, so

3x - 15 = 2x + 24 ( subtract 2x from both sides )

x - 15 = 24 ( add 15 to both sides )

x = 39

The value of x from the parallelogram is given by the equation x = 39°

What is a Parallelogram?

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The four types are parallelograms, squares, rectangles, and rhombuses

Properties of Parallelogram

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent.

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

Given data ,

Let the parallelogram be represented as ABCD

Now , the total internal angle of a parallelogram is 360°

Now , the equation will be

∠A + ∠B + ∠C + ∠D = 360°

Substituting the values in the equation , we get

3x - 15 + 2x + 2x + 2x + 24 = 360°   be equation (1)

On simplifying the equation , we get

9x + 9 = 360

Subtracting 9 on both sides of the equation , we get

9x = 351

Divide by 9 on both sides of the equation , we get

x = 39°

Therefore , the value of x is 39°

Hence , the equation is x = 39°

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i need an answer...............................

Answers

Answer:

8 i think

Step-by-step explanation:

SUPER EASY BUT I NEED HELP PLEASSEEEEE

Answers

Answer:

9 x 5 x 2 = 9 x 10

Step-by-step explanation:

Since 5 x 2 is 10, 9 x 10 is the same thing as 9 x 5 x 2.

Answer: 10

Step-by-step explanation: 9 times 5 times 2 is 90, and 90 divided by 9 is ten.

broccoil cost 3.14$ a pound at the market if mary bought 2.5 pounds what was the cost

Answers

7.85 dollars because 3.14 is the price of one pound your buying 2.5 so you times 3.14 by 2.5

Pls help i know this should be easy but pls help i only have 1 point left after posting this

Answers

Answer:

I think it will be

1. integer

2. whole

3. rational

4. rational

I'm not sure but I think this is correct

Step-by-step explanation:

Write the equivalent expression for 3a + 12 using the greatest common factor (for example: for expression 4a + 16, the equivalent expression using the greatest common factor would be 4(a + 4) ).

Answers

Answer:

3(a+4)

Step-by-step explanation:

HELLLPPPPPPPPP PLEASEEEEEEE PLEASEEEE SOMEONE HELPPPPP

Answers

A) x = 15

steps:

90 = 5x + 15

-15 -15

75 = 5x

÷5 ÷5

15 = x

explanation:

< P is 90°

so you have the equation of < P equal 90 to find the x

B) < RQP = 33

steps:

2x + 3

2(15) + 3

30 + 3

33

explanation:

now that you know what x equals you just plug in 15 for the x and solve

find the area and circumference of each figure below. use 3.14 for pi. if needed, round your answer's to the nearest 100ths place.​

Answers

Answer:

[tex]a \\ area = 10 \times 10 \times 3.14 = 314 \\ circumference = 2 \times 10 \times 3.14 = 62.8 \\ \\ b \\ \: area = 6 \times 6 \times 3.14 = 113.04\\ circumference = 2 \times \times 6 \times 3.14 = 37.68[/tex]

another easy math no scam links

Answers

Answer:

Step-by-step explanation:

x = 8

Judy and 2 friends won $145.00 at a fundraising raffle! They agreed to share the winnings equally. They received one $100 bill, four $10 bills, and five $1 bills

Answers

Answer:

There are 3 friends (Judy + 2 friends) who won $145.00

They want to share the winnings equally, but they got:

one $100 bill

four $10 bills

five $1 bills.

Assuming that they can share only those bills, the only way to share the winnings equally is:

Each friend gets one $10 bill

Each friend gets one $1 bill

Then each one gets $11.

And there is a surplus of:

one $100 bill (that can't be divided)

one $10 bill (that can't be divided)

two $1 bill (that can't be divided)

Then:

There is a common pool of $100 + $10 + 2*$1  = $112

And each one of the 3 friends gets $10 + $1 = $11

In the case where they can change the bills, each friend will get:

$145/3 = $48.33

solve for x in the equation

Answers

Answer:

x = 12

Step-by-step explanation:

This is a supplementary angle so the right side is equal to 90°. This means the other side must also equal 90°

So subtract 20° from 90° and you get 70°

Next you can just (6(12)-2) or continuously substitute until you get the right answer.

A zip line starts on a platform that is 40 meters above the ground. The anchor for the zip line is 198 horizontal meters from the base of the platform. How long is the zip line? help grifjin

Answers

Answer:

Solution given:

perpendicular distance =height [p]=40m

base or horizontal distance [b]=198m

Hypotenuse or zip line [h]=?

Now

By using Pythagoras law

h²=p²+b²

h²=40²+198²

h=√40804

h=202m

So the Zip line is 202m long.


Two similar flagpoles are on either side of a park. The taller of the two flagpoles is 40 feet tall and casts a 32 foot shadow. If the
smaller of the two flagpoles casts a 20 foot shadow, how tall is it

Answers

Answer:

28 feet tall

Step-by-step explanation:

HELP ME HELP ME HELP KE HELP ME PLEASEEEEEE I NEED HELP PLZ PLZ PLZ

Answers

Answer:

1/3

Step-by-step explanation:

Set up the equation and solve.
5) 700 reduced by 4 times Mia's age is 500. How old is Mia?

Answers

Answer:

50

Step-by-step explanation:

the equation is 700-4x=500

please answer correctly !!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

90 degrees

Step-by-step explanation:

Select the correct answer from each drop-down menu.
The graphs below show the number of faulty products, y, produced by a company for the first eight months since production started. Both graphs show the same information.

Answers

Answer:

Graph A ,appears to decrease less

Step-by-step explanation:

In the word problem it asked us which graph seem to have "Slight Decrease"means if obeserve the graph it shows graph A.

Alex should use Graph A for the presentation as it shows the number of faulty products as a decrease on the graph

What is Equation of Graph of Polynomials?

Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.

Identify the even and odd multiplicities of the polynomial functions' zeros.

Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.

The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities

Given data ,

Let graph A shows the product quality with number of faulty products over the period of months

And , let graph B shows the product quality with number of faulty products over the period of months

Now , the line is decreasing in a steady manner in graph A as the number of faulty products is decreasing at a nominal rate

Hence , graph A is best for presentation

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Solve for p.
2p + 1=1
5p + 6=7

Answers

P = -1/9

I hope it’s helps you :)

Answer:

-1/9

Step-by-step explanation:

We need to solve out and find out the value of p . The given equations is.

=> 2p + 1/ 5p + 6 = 1/7

=> 7 ( 2p + 1) = 5p + 6

=> 14p + 7 = 5p + 6

=> 14p - 5p = 6-7

=> 9p = -1

=> p = -1/9

Hence the value of p is -1/9

Help me please i will mark brainliest

Answers

Answer:

The answer is 1/5

Step-by-step explanation:

The answer is 1/5

If ABCD is dilated by a factor of 2, the
coordinate of B' would be:
B' ([?],[?])

PLEASE HELP I WILL MARK BRAINLIEST!!

Answers

Answer:

I believe its (- 2, 2 )

Step-by-step explanation:

Assuming the dilatation is centred at the origin, then multiply the coordinates of B by the scale factor 2, that is

B(- 1, 1 ) → B'(2(- 1), 2(1) ) → B'(- 2, 2 )

There are 2 yellow marbles and 11 blue marbles in a bag. You randomly choose one of the marbles. What is the probability of choosing a yellow marble? Write your answer as a fraction in simplest form. The probability of choosing a yellow marble is​

Answers

math so basically it would be 11/2

What is the value of x if 4x - 2 < 26?

Answers

Answer:

4x<28

x<7

x;(-infinite,7)

Identify the domain and range of each function. y = 4^x-5 + 3

Answers

Answer:

(- infinity, infinity), (x | x € R)

(-2, infinity), {y | y > -2)

Step-by-step explanation:

I think that's right not sure though

The answer is Negative infinity to infinity, 3 to infinity

Write an equation to express the amount of time in minutes, x, it would take to travel 1800 feet, if you are traveling 352 feet per minute.

Answers

Answer:  352(x)=1800

Step-by-step explanation:


“Find the trig function and simplify if you can”

Answers

Answer:

[tex]\sqrt{10}[/tex]/10

Step-by-step explanation:

cos is adjacent side/hypotenuse

you need to find the hypotenuse

Let h = length of hypotenuse

[tex]6^{2} + 18^{2} = h^{2}[/tex]

[tex]h^{2}[/tex] = 36 + 324 = 360

h = [tex]\sqrt{360}[/tex] = 6[tex]\sqrt{10}[/tex]

cos (theta) = 6/6[tex]\sqrt{10}[/tex] = 1/[tex]\sqrt{10}[/tex] = [tex]\sqrt{10}[/tex]/10

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