(2x+3)^5 expanded using binomial theorem

Answers

Answer 1

Answer:

[tex]32 {x}^{5} + 240 {x}^{4} + 720 {x}^{3} + 1080 {x}^{2} + 810x + 243[/tex]


Related Questions

What is the y-value of the solution to this system of equations?
y=3x-13
y=2/5x-26/5

Answers

Answer:

for the first one y=-13 and the second y=-26/5

you already answered it you just had to put the y intercept in it

How many yards are in 96 inches by 30 feet?

Answers

Answer:30 x 96 feet = 10 x 32 yards

Step-by-step explanation:Convert 30 x 96 feet to yards

To convert length x width dimensions from feet to yards we should multiply each amount by the conversion factor. One foot equals 0.333333 yards, in order to convert 30 x 96 feet to yards we have to multiply each amount of feet by 0.333333 to obtain the length and width in yards. In this case to convert 30 x 96 feet into yards we should multiply the length which is 30 by 0.333333 and the width which is 96 by 0.333333. The result is the following:

30 x 96 feet = 10 x 32 yards

Definition of foot

A foot (symbol: ft) is a unit of length. It is equal to 0.3048 m, and used in the imperial system of units and United States customary units. The unit of foot derived from the human foot. It is subdivided into 12 inches.

Definition of yard

A yard (symbol: yd) is a basic unit of length which is commonly used in United States customary units, Imperial units and the former English units. It is equal to 3 feet or 36 inches, defined as 91.44 centimeters.

Meters to yards formula and conversion factor

To calculate a foot value to the corresponding value in yards, just multiply the quantity in feet by 0.333333 (the conversion factor).

Meters to yards formulae

yards = feet * 0.333333

The factor 0.333333 is the result from the division 1 / 3 (yard definition). Therefore, another way would be:

yards = feet / 3

Using our feet to yards converter you can get answers to questions like:

- How many yards are in 30 x 96 feet?

- 30 x 96 feet is equal to how many yards?

- How to convert 30 x 96 feet to yards?

- What is 30 x 96 feet in yards?

- How many is 30 x 96 feet in yards?

Hope this helped :)

How many solutions does this linear system have?
y=-1/2x+4
one solution: (8, 0)
one solution: (0, 8)
no solution
infinite number of solutions

Answers

Answer:

The system of equations has no solution.

NO SOLUTION!

Step-by-step explanation:

Given the system of equations

[tex]\begin{bmatrix}y=-\frac{1}{2}x+4\\ x+2y=-8\end{bmatrix}[/tex]

Arrange equation variables for elimination

[tex]\begin{bmatrix}y+\frac{1}{2}x=4\\ 2y+x=-8\end{bmatrix}[/tex]

[tex]\mathrm{Multiply\:}y+\frac{1}{2}x=4\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:2y+x=8[/tex]

[tex]\begin{bmatrix}2y+x=8\\ 2y+x=-8\end{bmatrix}[/tex]

subtracting equation 2y+x=8 from 2y+x = -8

[tex]2y+x=-8[/tex]

[tex]-[/tex]

[tex]\underline{2y+x=8}[/tex]

[tex]0=-16[/tex]

so the equations become

[tex]\begin{bmatrix}2y+x=8\\ 0=-16\end{bmatrix}[/tex]

0 = -16 is false, therefore the system of equations has no solution.

NO SOLUTION!

The diagram is also attached below.

Answer:

No solution

Step-by-step explanation:

Got it right edge 2020

The Number of students in a chess club decrease from 30 to 14. What is the percent decrease? Round your answer to the nearest percent.

The percent decrease is:

Answers

Answer:

53%

Step-by-step explanation:

percent change= amount of change/ original amount

that decimal (0.53) turns into a decimal.

If x:8::5:4, then the value of x is

Answers

Answer:

Solution in photo

Step-by-step explanation:

Answer: 10

Step-by-step explanation:

2x/5=4

2x=5×4

2x=20

x=20/2

x=10

hope is helps *hugs✨

Jasmine created a scale drawing of her room. She used a scale of 1 in:3 feet. The drawing is 8 inches long by 6 inches wide. What is the area of the room in square feet?

Answers

Answer:

The area of the room is 432 square feet

Step-by-step explanation:

Let us use the ratio method to solve the question

∵ The scale drawing of the room is 1 inch: 3 feet

→ That means each 1 inch in the drawing represents 3 feet in real

∵ The drawing is 8 inches long by 6 inches wide

∴ The drawing length of the room = 8 inches

∴ The drawing width of the room = 6 inches

→ By using the ratio method

→  inches  :  feet

→  1            :  3

→  8           :  L

→  6           :  W

→ By using the cross multiplication

∵ 1 × L = 8 × 3

∴ L = 24

The actual length of the room is 24 feet

∵ 1 × W = 6 × 3

∴ W = 18

The actual width of the room is 18 feet

Use the formula of the area of the rectangle to find the area of the room

∵ Area of rectangle = length × width

∴ Area of the room = 24 × 18

∴ Area of the room = 432 feet²

The area of the room is 432 square feet

NEED HELP QUICKLY! Giving 100 points, brainiest, thanks, and 5 stars to correct answer.
Match the reasons with the statements given.

Answers

Answer:

Step-by-step explanation:

Given the following statements

1. line RS || segment AB, ∠1=∠2

2. ∠B = ∠1

3. ∠A = ∠2

4. ∠A = ∠B

5. RA = RB

and the following reasons,

a) If lines ||, corresponding ∠'s are =

b) If two ∠'s of a triangle are =, sides opposite are =

b) If lines ||, alternate interior ∠'s =

c) Given

d) Substitution

we match the statements and the reasons to enable us prove the required proof.

Statement Reason

1. line RS || segment AB, ∠1=∠2 Given

2. ∠B = ∠1 If lines ||, corresponding ∠'s are =

3. ∠A = ∠2 If lines ||, alternate interior ∠'s =

4. ∠A = ∠B Substitution [because we are given that

∠1=∠2]

5. RA = RB If two ∠'s of a triangle are =, sides opposite are =

Answer:

Step-by-step explanation:

The class has 12 girls and 16 boys. What is the ratio of total students to boys in simplest form?

Answers

Answer:

7:4

Step-by-step explanation:

total students = 28

so ratio 28:16

which will be reduced to14:8

then 7:4

boys : girls

= 16 : 12

= 16/12

[After simplifying]

= 4/3

So, ratio of boys to girls in simplest form => 4 : 3

Hope it helps!

Anna jogs every morning. The graph shows the distance she jogs. What does the slope of the line represent?

Answers

i believe that the answer is C!

The slope of a line is the rate of change of the function. The slope of the line shows that Anna jogs at a rate of 2m/s

Slope of a line

The slope of a line is the rate of change of the function.

For the given graph, the slope will be the speed Anna covers, that is the total distance covered in a specified period of time

Using the coordinate points (10, 20) and (20, 40), the slope is expressedas:

Slope = 40-20/20-10
Slope = 20/10
Slope = 2

The slope of the line shows that Anna jogs at a rate of 2m/s

Learn more on slope here: https://brainly.com/question/3493733

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Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!

Answers

Answer:

x = 8√2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Equality Properties

Trigonometry

[Right Triangles Only]: Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

Step 1: Define

We are given a right triangle. We can use PT to solve for the missing length.

Step 2: Identify Variables

Leg a = 8

Leg b = 8

Hypotenuse c = x

Step 3: Solve for x

Substitute [PT]:                    8² + 8² = x²Exponents:                           64 + 64 = x²Add:                                      128 = x²Isolate x:                               8√2 = xRewrite:                                x = 8√2

YOU GET BRAINLIEST IF YOU HAVE THE BEST PICK UP LINE ;))
LOL (free pfp)

Answers

Answer:

There is something wrong with my cell phone. It doesn't have your number in it.

Step-by-step explanation:

cheesy

pick up line lol

Answer:

Me: You wanna hear a pickup line

Chuckie: sure

Me: Its cheesy ;)

20 feet of lumber cost $138.40. what is the cost per foot

Answers

$138.40/20 = $6.92.
so, the cost per foot would be $6.92

Answer: $6.92

Step-by-step explanation: Whenever you see the word per in a math problem, that means division. So right now, you could set up an equation that looks like this. 20L=130.40 (let L mean cost per foot of lumber). If you want to find the cost per foot you need have 1L or just L on one side of the equation. Well, the easiest way to do that would be to divide by 20 on both sides. And that would get you L= 6.92. And since L means the cost per foot of lumber, that cost would be $6.92. Hope this helps!

What is (-2xy^3z^-2)^3(2x^2y^4z)^-2 simplified?

Answers

Answer: 3 23 divided by 22 = 2(3 - 2) = 21 = 2 think it’s 2

Step-by-step explanation: Changes made to your input should not affect the solution:

(1): "^-2" was replaced by "^(-2)".

(2): "y4" was replaced by "y^4".

STEP

1

:

Equation at the end of step 1

(((0-((2x•(y3))•z))-2)3)•(((2x2•y4)•z)-2)

STEP

2

:

Equation at the end of step

2

:

(((0 - (2xy3 • z)) - 2)3) • (2)(-2)x(-4)y(-8)z(-2)

STEP

3

:

STEP

4

:

Pulling out like terms

4.1 Simplify ( -2xy3z-2 )3

Put the exponent aside and simplfy the base by pulling out like factors :

-2xy3z-2 = -2 • (xy3z+1)

Remember the 4th law of exponents : (a • b)m= am• bm

Retract the exponent and apply the 4th law to the simplified base: ( -2 • (xy3z+1) )3 = (-2)3 • (xy3z+1)3

Trying to factor as a Sum of Cubes:

4.2 Factoring: xy3z+1

Put the exponent aside, try to factor xy3z+1

Theory : A sum of two perfect cubes, a3 + b3 can be factored into :

(a+b) • (a2-ab+b2)

Proof : (a+b) • (a2-ab+b2) =

a3-a2b+ab2+ba2-b2a+b3 =

a3+(a2b-ba2)+(ab2-b2a)+b3=

a3+0+0+b3=

a3+b3

Check : 1 is the cube of 1

Check : x 1 is not a cube !!

Ruling : Binomial can not be factored as the difference of two perfect cubes

Dividing exponents:

4.3 23 divided by 22 = 2(3 - 2) = 21 = 2

Final result :

-2 • (xy3z + 1)3

————————————————

x12y24z6

This seems like a joke but whatever

=
-2y/xz^8

I would show the steps but it’s a lot lol

There are 70 students in the school band. 40% of them are sixth graders, 20% are seventh graders, and the rest are eighth graders. How many students are eighth graders? *
Your answer

Answers

Step-by-step explanation:

100% - 40% - 20% = 40%.

40% of students are eighth graders.

Hence there are (40/100) * 70 = 28 eighth graders.

Simplify: cot(theta)sin(theta)
A) cos(theta)
B) sin(theta)
C) cot(theta)​

Answers

Step-by-step explanation:

Since cotθ = (cosθ/sinθ)

(cotθ)(sinθ) = (cosθ/sinθ)(sinθ) = cosθ. (A)

A shirt marked $320.00 was sold at a discount of 5%. What was the selling price?

Answers

Answer:

304

Step by step:

Using your calculator 5% of 320 is 16.

Since it was a discount, you subtract 16 since you're marking it down.

320-16=304

304 is your answer

How do I know? Well, there it takes 20+20+20+20+20 to equal a hundred. We can do this same math for this problem. 16 x 20 is 320

Answer:

$304.00

that is really freaking expensive shirt lol.

i thought you said shlt,  not shirt lol

anyway...

Step-by-step explanation:

320 times 0.05

(don't make the mistake of 0.5  that is 50%, not 5%. )

320*0.05= 16

subtract it

320-16= 304

simplify (9a2‐18ab + 9b2 -25c2) ÷ (3a–3b+5c) brainly​

Answers

Answer:

3a-3b-5c

Step-by-step explanation:

((3a-3b)²-(5c)²)÷(3a-3b+5c)=((3a-3b-5c)(3a-3b+5c))÷(3a-3b+5c)=3a-3b-5c

What is the situational irony in the story “Federigo’s Falcon” by Giovanni Boccaccio?

A.

Monna marries Federigo in the end, although she is not in love with him.


B.

Monna’s son has a terminal illness, so the falcon can't save him.


C.The only time Monna asks Federigo for something, he can't give it to her.


D.Federigo’s falcon dies a pointless death.

Answers

Answer:

A.

Monna marries Federigo in the end, although she is not in love with him.

Step-by-step explanation:

Answer:

The answer is C C.The only time Monna asks Federigo for something, he can't give it to her.

b=2-7 solve this question please​

Answers

Answer:

b=−5

Step-by-step explanation:

Subtract the numbers

b=2−7                                                            

b= −5

Answer:

b = -5

Step-by-step explanation:

b = 2 - 7

b = -5

Here is a 4-sided spinner.
The sides of the spinner are labelled 1, 2, 3 and 4. The spinner is biased.
The probability that the spinner will land on each of the numbers 2 and 3 is given in the table.
The probability that the spinner will land on 1 is equal to the probability that it will land on 4.
Number
I
3
4
Probability
0.46
0.28
Sarah is going to spin the spinner 500 times.
Work out an estimate for the number of times it will land on 4.​

Answers

140

1-.28 =.72
.72 x 500 = 360
500-360= 140

Read and write each number in expanded form
6,203,103

Answers

Answer:

6,000,000+200,000+3,000+100+3

Step-by-step explanation:

help...............​

Answers

the answer is b my guy :)

1) Is this graph a linear function? Explain.....2) Is this graph a linear function? Explain....

Answers

9514 1404 393

Answer:

nono

Step-by-step explanation:

If the graph is not a straight line, it is not a linear function. Neither graph 1 nor graph 2 is a straight line, so neither is a linear function.

__

Graph 2 is made of parts of two straight lines. It is not one straight line, so not a linear function. It is called "piecewise linear," which is different.

a real estate agent gets a 6% Commission on Lots Heelys and sells. He gets 3% on Lots listed by someone else that he sells. One week you sold a $90,000 lot listed with another company and a $65,500 lot He listed. Find his Commission.​

Answers

Answer:

I hope you have a good new year

find the measures of the numbered angles in the rhombus, will give brainliest ! pls show how you solved it :)))

Answers

Answer:

1=(90-20) = 70 (since right angle triangle)

2=90 because intersection of diagonals of a rhombus

3= 1 = 70° because triangle ADC is isosceles

4= 1 = 3= 70°

What is the coefficient in the term k?
A.0
B.1
C.2
D.k

Answers

9514 1404 393

Answer:

  1

Step-by-step explanation:

The constant multiplier of k in the term "k" is 1.

The coefficient is 1.

Graph a line that constans the point (-7,-4) and has a slope of -2/3​

Answers

Answer:

2-3 -7-4 is the answer I hope it helps

Three mangos and two apples sell for $1.25. Five mangos and one apple sell for $1.50. What is the cost for each mango

Answers

Answer:

mango is .25 and apple is .25 i took a picture of my work- dont mind the purple paper it was my notes packet xdd

Step-by-step explanation:

7/12 divided by 5/9 in its simplest form

Answers

Answer: 1 and 1/20th. Don’t know if it’s in simplest form tho

Step-by-step explanation:

7/12 divided by 5/9, in its simplest form, is 21/20.

Given that we need to divide 7/12 by 5/9,

The reciprocal of a fraction is obtained by interchanging the numerator and the denominator.

So, to simplify 7/12 divided by 5/9, we multiply 7/12 by the reciprocal of 5/9:

7/12 ÷ 5/9 = 7/12 × 9/5

Next, we multiply the numerators and denominators:

(7 × 9) / (12 × 5) = 63/60

To simplify this fraction further, we can divide both the numerator and denominator by their greatest common divisor (GCD), which is 3:

63/60 = (63 ÷ 3) / (60 ÷ 3) = 21/20

Therefore, 7/12 divided by 5/9, in its simplest form, is 21/20.

Learn more about Division click;

https://brainly.com/question/2273245

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Use the two points to find the slope.

Use the slope and one point to complete point-slope form

Answers

3/5 rise is 3 run is 4 you put the rise on top of the run
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