Use the Binomial Theorem to expand each binomial (2x-1)^6

Answers

Answer 1
64x^6 - 192x^5 + 240x^4 - 160x^3 + 60x^2 - 12x + 1

Related Questions

The residuals for data set A and data set B were calculated and plotted on
separate residual plots. If the residuals for data set A form a pattern and the
residuals for data set B do not form a pattern, what can be concluded?

Answers

Answer:

The answer is A linear model is a good fit for data set b but not data set a

Step-by-step explanation:

It can be concluded that data set A is linear, and data set B is not linear.

What is regression line?A regression line is an estimate of the line that describes the true, but unknown, linear relationship between the two variables. If [Y] is the dependent variable and [X] is the independent variable, the [Y] on [X] regression line equation is represented as follows:

        [Y] = a + b[X] + ɛ

Given is that residuals for data set A and data set B were calculated and plotted on separate residual plots.

If the residuals for data set [A] form a pattern and the residuals for data set [B] do not form a pattern than it can be concluded that data set A is linear, and data set B is not linear.

To solve more questions on regression line, visit the link below -

brainly.com/question/7656407

#SPJ2

10) Find x ifm/LMP = x+73, m/LMN = 152°, and m/PMN = 81 + x. L P M N​

Answers

Answer: x=-1°

Step-by-step explanation:

m∠LMP=x°+73°     m∠PMN=81°+x°     m∠LMN=152°      x=?

m∠LMP+m∠PMN=m∠LMN

x°+73°+81°+x°=152°

2x°+154°=152°

2x°+154°-154°=152°-154°

2x°=-2°

Divide both parts of the equation by 2:

x°=-1°

The force required to compress a spring varies directly as the change in the length of the spring. If a force of 15 pounds is required to compress a certain spring 5 ​inches, how much force is required to compress the spring 8 ​inches?

Answers

The equation will be F = 3x. Then the force required to compress the spring 8 ​inches will be 24 pounds.

What are ratio and proportion?

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

A spring's length directly relates to the amount of force needed to compress it.

Let F be the force and x be the compressed length. Then the equation will be

F ∝ x

F = kx

If a force of 15 pounds is required to compress a certain spring 5 ​inches. Then the value of the variable k will be

15 = 5k

k = 15/5

k = 3 pounds per inch

Then the equation will be

F = 3x

The force required to compress the spring 8 ​inches will be

F = 3 (8)

F = 24 pounds

The force required to compress the spring 8 ​inches will be 24 pounds.

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

#SPJ1

A nurse has a patient's prescription for ciclosporin of 10mg/kg, it means, 10 milligrams of ciclosporin for each kilogram of the patient's weight.

If the child’s weight is 26.4 pounds, how many milligrams of ciclosporin must the nurse give to the child?

Answers

Answer:

119.75mg

Step-by-step explanation:

Convert pounds to kg and then multiply by 10 and round to the nearest tenth

I'm really struggling with this problem, can someone help me please? :(

Answers

The length of AB after dilation is 3/5cm.

what is scale factor?

The size by which the shape is enlarged or reduced is called as its scale factor.

Scale factor is defined as the number or the conversion factor which is used to change the size of a figure without changing its shape.

It is used to increase or decrease the size of an object.

The scale factor can be calculated if the dimensions of the original figure and the dimensions of the dilated (increased or decreased) figure are known.

For example, a rectangle has a length of 5 units and a width of 2 units. Now, if we increase the size of this rectangle by a scale factor of 2, the sides will become 10 units and 4 units, respectively. Hence, we can use the scale factor to get the dimensions of the changed figures.

Given:

Length of AB = 3 cm

scale factor = 1/5

As, we know

scale factor = change in length / Actual length

1/5 = Change in length / 3

Change in length = 3/5

Hence, the length of AB after dilation is 3/5 cm

Learn more about scale factor here:

https://brainly.com/question/11381356

#SPJ1

3 students wrote expressions of their dry erase boards.

Student 1 - (5r - 3s +1)


Student 2 -5r + 3s + 1


Student 3 -5r + 3s - 1


Which of these students wrote equivalent expressions?

A. Student 1 and Student 3

B.Student 2 and Student 3

C. Student 2

D. Student 3

Answers

Answer: Students 1 and 3

Step-by-step explanation:

student 1=

- (5r+3s-1)=

-5r+3s-1=

the same answer as student 3

. Vacation Days If the average number of vacation days for a selection of various countries has a mean of 29.4 days and a standard deviation of 8.6, find the z scores for the average number of vacation days in each of these countries.

Answers

Answer:

For Canada = -0.3953

For Italy = 1.46511

For USA = -1.9069

Step-by-step explanation:

Given:

Mean μ = 29.4 days

Standard deviation σ = 8.6

Missing Data

For

Canada = 26 days

Italy = 42 days

USA = 13 days

Find:

Z scores

Computation:

Z scores = [X-μ]/σ

For Canada

Z scores = [26-29.4]/8.6

Z scores = -0.3953

For Italy

Z scores = [42-29.4]/8.6

Z scores = 1.46511

For USA

Z scores = [13-29.4]/8.6

Z scores = -1.9069

Y = -3x - 2 and 5x + 2y = 15

Answers

Answer:

(-19, 55)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = -3x - 2

5x + 2y = 15

Step 2: Solve for x

Substitution

Substitute in y:                     5x + 2(-3x - 2) = 15Distribute 2:                          5x - 6x - 4 = 15Combine like terms:            -x - 4 = 15Isolate x term:                      -x = 19Isolate x:                               x = -19

Step 3: Solve for y

Define original equation:                    y = -3x - 2Substitute in x:                                     y = -3(-19) - 2Multiply:                                                y = 57 - 2Subtract:                                               y = 55

What is the solution to the equation? 3x+5=−2x+20 x=15 x=25 x=5 x=3

Answers

Answer:

well, x= -4/11

Step-by-step explanation:

Solve the quadratic equation by completing the square.

Answers

Answer:

x'1 = -1

x'2 = 8

Step-by-step explanation:

Answer:

x = - 1, x = 8

Step-by-step explanation:

Given

x² - 7x - 8 = 0 ( add 8 to both sides )

x² - 7x = 8

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- [tex]\frac{7}{2}[/tex] )x + [tex]\frac{49}{4}[/tex] = 8 + [tex]\frac{49}{4}[/tex] = [tex]\frac{81}{4}[/tex]

(x - [tex]\frac{7}{2}[/tex] )² = [tex]\frac{81}{4}[/tex] ( take the square root of both sides )

x - [tex]\frac{7}{2}[/tex] = ± [tex]\sqrt{\frac{81}{4} }[/tex] = ± [tex]\frac{9}{2}[/tex] ( add [tex]\frac{7}{2}[/tex] to both sides )

x = [tex]\frac{7}{2}[/tex] ± [tex]\frac{9}{2}[/tex]

Thus

x = [tex]\frac{7}{2}[/tex] - [tex]\frac{9}{2}[/tex] =  [tex]\frac{-2}{2}[/tex] = - 1

x = [tex]\frac{7}{2}[/tex] + [tex]\frac{9}{2}[/tex] = [tex]\frac{16}{2}[/tex] = 8

What's the difference of 9.37 and 0.06?

Answers

9.31 is the difference

On opening day at Darien Lake, Kelly pays $40 for admission to the park. She wants to play
the games in the midway. Each game cost $1.50 to play. Write an expression to represent
Kelly's total cost at the park if she plays "g" games.

Answers

Answer: it would be like this $40+1.50g=t

Step-by-step explanation:

BRAINLIEST IF YOU ANSWER

Answers

Answer:

34.5 ft squared

Step-by-step explanation:

Split the figure into a triangle and two rectangles. The two vertical lines on the figure already do that. The triangle's area is 3*3/2 because 8 - 3 - 2 = 3 is the base and the height is 3. Use b * h/2. The area of the smaller rectangle is 2 *3. The area of the larger rectangle is 8 * 3. Add the areas up: 4.5 + 6 + 24 = 34.5.

What is the answer to this

Answers

Answer:

I believe it is c

Answer:

c is the correct answer

is 12,43 a solution of y =3x+7

Answers

Answer:

Yes it is

Step-by-step explanation:

If 20% of the students in your class like McDonald's, how many students are in your class if 4 students like McDonald's?

Answers

Answer: it is 20 students

Answer:

16 students

Step-by-step explanation:

4 students is 20% ,8 students is 40%, 12 students 80%, 16 students 100%

Please help very important!!!! ( dont steal or guess) (I will give brainiest if you have proof)

Answers

Answer:

[tex]A) AA[/tex]

Step-by-step explanation:

[tex]We\ are\ given\ that\\\The\ Angles\ of\ \triangle 1,\ are\ 40, 100\\The\ Angles\ of\ \triangle 2\ are\ 40, 40\\The\ Hence,\\Through\ Angle\ Sum\ Property\ Of\ A\ Triangle, \\The\ Angles\ of\ \triangle 1,\ are\ 40, 100,40\\The\ Angles\ of\ \triangle 2\ are\ 40, 40,100\\\\As\ we\ can\ observe\ that\ all\ ANGLES\ of\ the\ triangles\ correspond, \\through\ AA\ Similarity\ Postulate. which\ states\ that\ if\ two\ triangles\ have\ two\\ or\ more\ corresponding\ angles,\ the\ triangles\ are[/tex]

[tex]SIMILAR[/tex]

Which shows the correct solution of the equation 1/2a+2/3b=50 , when b=30

Answers

The solution to the equation 1/2a + 2/3b = 50 when b = 30 is a = 60

How to determine the correct solution of the equation?

The equation is given as

1/2a + 2/3b = 50

The value of b is given as

b = 30

So, we have

1/2a + 2/3 * 30 = 50

Evaluate the product

So, we have

1/2a + 20 = 50

Evaluate the like terms

So, we have

1/2a = 30

Multiply both sides by 2

a = 60

Hence, the solution to the equation 1/2a + 2/3b = 50 when b = 30 is a = 60


Read more about equations at

https://brainly.com/question/2972832

#SPJ1

At a hardware store, a tool set normally costs $80. During a sale this week, the tool set costs $12 less than usual. What percentage of the usual price is the savings?

Answers

15%

Explaination according to zehtmnt who also answered this question by another person:

You have to do a proportion

12. = x

80 100 and u have to cross multiply

80x = 1200

80. 80

The graph of the linear function k passes through points (-7,0) and ((1,8)

Answers

There you go hope you are satisfied with my answer

Write an expression, using an exponent, that is equivalent to 8×8×8×8

Answers

Answer:

8 to the power of 4

Step-by-step explanation:

since their are four 8, (8x8x8x8) , you have to put that into an exponent

still need proof?

8x8x8x8=4096

8 to the power of 4 = 4096

so to conclude, 8 to the power of 4 is the same thing as saying 8x8x8x8, it is jsut the exponent version

if you can say what is on my mind you get 10 brainy point

Answers

When is Winter Break how long do I have to wait !!!!!

Answer:

what is on my mind

Step-by-step explanation:

there was 2 ppl answering before so i couldn't say this

Factor using the given common factor. Assume all variables represent postive real numbers.

3y^-4 + y^-5 ; y^-5


3y^-4+y^-5=

Answers

On factorizing 3y⁻⁴ + y⁻⁵ with the given factor y⁻⁵ we get y⁻⁵(3y + 1 ).

Factorization of the polynomial refers to the process of expressing the polynomial as a product of two or more factors.

For Example ; the factors of x²-16 can be written as (x+4)(x-4).

In the given question

(3y⁻⁴ + y⁻⁵)  

the common factor y⁻⁵ is given

we have to factorize using the common factor .

taking y⁻⁵ common from both the terms we get

= y⁻⁵(3y⁻⁴/y⁻⁵ + 1 )

=y⁻⁵(3y⁻⁴⁺⁵ + 1 )

=y⁻⁵(3y¹ + 1 )

=y⁻⁵(3y + 1 )

Therefore , On factorizing 3y⁻⁴ + y⁻⁵ with the given factor y⁻⁵ we get y⁻⁵(3y + 1 ).

Learn more about Factorization here https://brainly.com/question/28443498

#SPJ1

Which expression is equivalent to (2.9)4? HELP ASAP

Answers

Answer:

2^4   * 9^4

Step-by-step explanation:

(2*9)^4

We can take the power to each term inside the parentheses

2^4   * 9^4

how to make 2.126 as a fraction

Answers

Answer: 1063/500

Step-by-step explanation:

The answer is 1063/500.
The process is to take the number and put it on top of its decimal place value.Ex.
0.5: 5/10
0.5: 1/2 (simplified)

I'LL BRAINLIST!!!!
solve each proportional
4/12= y/9
12/m= 3/5
y/5= 13/10
5/10= 8/w

Answers

4/12 = 3/9

12/20 = 3/5

6,5/5 = 13/10

5/10 = 8/16

Explain how to find 40x80 using mental math

Answers

so 40 * 80 = 3,200

4 * 8 = 32

Then add the two 0's to the end

so 3,200

Answer:

The best way to solve 40x80 using mental math is to break down the problem.One example would be to solve 4x8 then add the two zeros to your answer to get 3200.

Step-by-step explanation:

At a theme park, the ticket price for children is c for adults is $17 more than that. Write an expression to show the cost of tickets for 2 adults and 5 children. Simpilfy the expression.

Answers

Answer:

Cost is 7c+34.

Step-by-step explanation:

2(c+17) + 5c

=2c+34+5c

=7c+34

Justin's new music player has more than 50 songs
but less than 90 songs. The number of songs is 3
more than a multiple of 5. It is also 2 more than a
multiple of 6. How many songs are on the player?

Answers

I believe it’s 65 if I’m right

Just answer no worker needed to show

Answers

Answer:

Therefore, the correct answer is 24,069,100.

Step-by-step explanation:

(6.91 x 10^4) = 6.91 x 10,000 (10 x 10 x 10 x 10) or 69,100.

(2.4 x 10^7) = 2.4 x 10,000,000 (10 x 10 x 10 x 10 x 10 x 10 x 10) or 24,000,000.

24,000,000 + 69,100 = 24,069,100

Therefore, the correct answer is 24,069,100.

Hope this helps! :D

Other Questions
3. Sami pops a helium balloon at a birthdayparty. What will happen to the particles ofhelium that were in the balloon? sc.8.P.8.1A The particles will disappear.B The particles will move together.The particles will spread out evenlywithin the room.The particles will stick together and sinkto the floor. Marketing crossword puzzle What affected Henry repeating the question about his wife expected return have on the narrator's patience as related to the underlying passage of Twain's the California's tale Type the correct answer In each box.Use numerals Instead of words.A force of 25 newtons moves a box a distance of 4 meters In 5 seconds. 5The work done on the box IsNm, and the power SNm/S.ResetNext the brain basis for integrated social, emotional, and academic development: how emotions and social relationships drive learnin doi How does the author of Seedfolks make Sam sound professional and well-educated? Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. if they toll together at 11:00, at what time will they toll together again? Can someone answer these?? Given the quadrilateral with the following vertices a(-2,3) b(-2,6) c(-6,-1) and d (-6,2). is the quadrilateral a parallelogram? The median home price in the United States over the period 2003-2011 can be approximated by P(t) = 5t2 + 75t 30 thousand dollars (3 t 11), where t is time in years since the start of 2000. Find P'(t) and P'(7).P'(t)=P'(7)=What does the answer tell you about home prices? HINT [See Example 2.] The median price of a home was increasing at a rate of $ ___ per year in ____. The circle graph shows the most important problems forthe 14,054,077 high school teenagers in a country..Without using a calculator, estimate the number of highschool teenagers for whom doing well in school is themost important problem.Most Important Problems for High School TeenagersDoing Wel in School, 12%Social Pressures and Fitting in, 22%Drugs, 22%Others, 29%Getting along with Parents. 2%Geting into College, 2%Sexual Issues, 2%Crime and Violence in School, 9%Doing well in school is the most important problem for approximately how many of the high school teenagers?OA. 4,200,000OB. 1,400,000LOC. 2,800,000OD. 5,600,000 What was one change taking place in america in the early 1800s that gave rise to an age of reform?. What is the slope of the line plotted below? which expression is equivalent to 25s^3+12s/5s states that the truth or falsity of a statement is determined only by how it relates to the world and whether it accurately describes the world Devon Davies earns an annual salary of$43,112.00.What is his biweekly salary? Q|C The speed of a one-dimensional compressional wave traveling along a thin copper rod is 3.56 km/s . The rod is given a sharp hammer blow at one end. A listener at the far end of the rod hears the sound twice, transmitted through the metal and through air, with a time interval t between the two pulses.(b) Find the length of the rod as a function of t. simplify the following expression:3 - x (4 + x) if x = 2 Tell the story of a vivid dream you remember, following this rule: each sentence begins with the last letter of the previous sentence. Over 150 words Help please i need it Can someone help me with the radius? please and thank you