Use the first five terms of the binomial theorem to approximate (-1.4)^8

Answers

Answer 1

Answer:

14.75789056

Step-by-step explanation:

I think so...

Answer 2

The first five terms of the binomial theorem to approximate (-1.4)⁸ answer would be 14.056.

What is the Binomial Theorem?

The binomial theorem states the principle for expanding the algebraic expression (x + y)ⁿ and describes it as the total of the phrases involving the unique exponents of the x and y variables. Each word in a binomial expansion has a coefficient, which is a numerical value.

According to the binomial theorem, it is possible to expand any non-negative power of binomial (x + y) into a sum of the form,

(x+y)ⁿ = ⁿC₀xⁿy₀ + nC₁ xⁿ⁻¹y₁ + nC₂ xⁿ⁻² y2 + ... + nC x¹yⁿ⁻¹ + nCn x°yⁿ

where n ≥ 0 is an integer and each ⁿCₓ is a positive integer known as a binomial coefficient.

Given expression as (- 1.4)⁸

as a result, if you have raised a negative integer to an even power, the response will be positive.

Eliminating the negative sign.

⇒ (1.4)⁸ = (1+0.4)⁸

⇒ 1⁸+8*1⁷*0.4+28*1⁶*0.4²+56*1⁵*0.4³+70*1⁴*0.4⁴

⇒ 1+3.2+4.48+3.584+1.792

14.056

If we used one more term we would get 14.62944

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Related Questions

through: (3, 5), slope = 5/3
Explain please

Answers

Step-by-step explanation how to get answer:

Slope is Rise over Run

Find point (3, 5) and go up 5 and over 3 from that point & mark it, keep going in that pattern until you have a line.

For going opposite ways, do the opposite function; go down 5 and left 3 to have a complete straight line.

Type the expression that results from the following series of steps:
Start with 6 and subtract
z

Answers

6-z

Z-6 would be wrong because the question said start with 6

Write the equation of the line that is parallel to the line y=−14x−3 through the point (4,4).

Answers

Hello there! :)

Parallel lines have the same slope, so if one line has a slope of -14, then the line parallel to it has a slope of -14 as well.

We are also given a point that the line passes through.

That's enough information to find the equation of the line.

First, we write the equation in point-slope form, which looks like so:

y-y1=m(x-x1)

y1 is the y-coordinate of the point, m is the slope of the line and x1 is the x-coordinate of the point.

y-4=-14(x-4)

y-4=-14x+56

y=-14x+60

Hence, that's the equation. Hope it helps.

~A lonely teen who helps others with a smile

-Grace

Good luck.

if I was 14 in 1947 then how old am I?

Answers

you would be 88 :)))))))))))

The ratio of three numbers is 4 : 1 : 7. The sum of the numbers is 24. What are the three numbers?

Answers

Answer:

8, 2, 14

Step-by-step explanation:

sum the parts of the ratio, 4 + 1 + 7 = 12 parts , then

24 ÷ 12 = 2 ← value of 1 part of the ratio, then

4 parts = 4 × 2 = 8

7 parts = 7 × 2 = 14

The 3 numbers are 8, 2, 14

1. Simplify 3(2x - y) + 6y.
5x + 7y
6x + 3y
2x + 3y
6x - 7y

Answers

Answer:

6x + 3y

Step-by-step explanation:

3(2x - y) + 6y ← distribute parenthesis by 3

= 6x - 3y + 6y ← collect like terms

= 6x + 3y

[tex]\huge\boxed{Hi\: there!}[/tex]

Here, we use the Distributive Property:

[tex]a(b+c)=ab+ac[/tex]

3(2x-y)+6y=6x-3y+6y

Combine like terms:

6x+3y

[tex]\huge\boxed{Therefore,\: our \:equation\: is:6x+3y}[/tex]

[tex]\huge\bf{Good \:luck \:with \:your \: studies! :)\\~Unknown Dreamer}[/tex]

Solve for X
(10x - 1)=(14x - 37)

Answers

(make them equal to each other)

10x-1 = 14x-37

(combine like terms)

-4x = -36

(divide by -4)

x=9

Hope this helps! Have a good day/night!

question in the picture, please answer!! 50 points!

Answers

Answer:

First of all its 25 points. Second of all the answer is B.

Step-by-step explanation:

The answer is a based on the number sequence for each slope, your welcome

Find the circumference of a circle with a radius of 2.4 m

Answers

Answer:

here,

circumference of circle (c)=2πr

=2×22÷7×2.4

15.0857143.

When a number is added to of itself, the result is 24. The equation that models this problem is n +
n = 24.
7
What is the value n?
n = 18
On = 20
0 n=218
O n=23

Answers

Answer:

n = 20

Step-by-step explanation:

n + 1/5 n = 24

n + n/5 = 24

LCM = 5

5n/5 + n/5 = 24

( 5n + n )/5 = 24

5n + n = 5 x 24

6n = 120

n = 120 / 6

n = 20

WILL GIVE BRAINLY,5 STARS,AND THANKS

Answers

Answer:

Step 1: 10 group(s) of 23 = 230

Step 2: 6 group(s) of 23 = 138

Step 3: Add the partial quotients: 10 + 6 = 16

Step-by-step explanation:

For step one you can tell that 230/10 is 23. You can tell this because of the zero at the end of the number. Anything multiplied by 10 is that number but  with a zero at the end. For step 2 you kind of have to do long division, or you can use a calculator. You will end up with 6. When you add the partial quotients, it means add the answers to steps 1 and 2 together and get 16. This should be right hope it helps!

Answer

From the results, we can conclude:





230=23×10

138=23×6

Therefore:



Step 1: 10 groups of 23 = 230

Step 2: 6 groups of 23 = 138



Step 3: Add the partial quotients: 10 + 6 = 16

answer 10 + 6 = 16

Use the relationship between the angles in the figure to answer the question Which equation can be used to find the value of x? Of x x+49-28 = 180
- 49 - 28 = 180
x + 49 + 28 = 180
x + 28 = 180​

Answers

Answer:

x + 49 + 28 = 180

Step-by-step explanation:

The angle adjacent to x on the left is vertically opposite 49° and is congruent.

The 3 angles then lie on a straight line and sum to 180° , that is

x + 49 + 28 = 180

A trucking company uses matrix A , shown below, to represent the driving time in hours for 6 trucking routes. A = [ 4 6 8 ]
[6 8 10 ]
The driving time matrix is based on an average speed of 60 miles per hour. This means that the matrix 60 A represents the driving distances in miles for these 6 trucking routes. Which of these is the matrix 60 A ?

Answers

Each element of the matrix are multiplied by the scalar to form a matrix of

same size as the original matrix in matrix scalar multiplication.

[tex]60 \cdot A = \left[\begin{array}{ccc}240\4&360&480\\360&480&600\end{array}\right][/tex]

Reasons:

The matrix A is presented as follows;

[tex]A = {\left[\begin{array}{ccc}4&6&8\\6&8&10\end{array}\right]}[/tex]

Using the multiplication of a matrix and a scalar, we have;

[tex]60 \cdot A = 60 \cdot \left[\begin{array}{ccc}4&6&8\\6&8&10\end{array}\right] = \left[\begin{array}{ccc}60 \times 4&60 \times 6&60 \times 8\\60 \times 6&60 \times 8&60 \times 10\end{array}\right] = \left[\begin{array}{ccc}\mathbf{240}&\mathbf{360}&\mathbf{480}\\\mathbf{360}&\mathbf{480}&\mathbf{600}\end{array}\right][/tex]

Therefore;

[tex]60 \cdot A = \left[\begin{array}{ccc}240\4&360&480\\360&480&600\end{array}\right][/tex]

Learn more about matrices here:

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Which describes 4x and -7x in this
expression?
4x - 5 - 7x
-
a constants
b. variable terms
c. like terms
d. coefficients

Answers

Answer:

B. Variable terms

Step-by-step explanation:

The 4 and -7 both have an x on them. The x is a variable.

Will give BRAINLIEST

Answers

Answer:

It is the yellow square

Step-by-step explanation:

The purple one is in the second quadrant

The green one is in the third quadrant

The blue one is in the forth quadrant

Rationalize the denominator and simplify. I will give brainliest
(\sqrt(a+1)-2)/(\sqrt(a+1)+2)

Answers

Answer:

(\sqrt(a+1)-2)^2/a+1-4=[a+5-4(\sqrt(a+1)]/(a-3)

Step-by-step explanation:

To rationalize the denominator, you have to multiply the denominator and the numerator by (\sqrt(a+1)-2) (which doesn't change the value of the fraction)

You get: (\sqrt(a+1)-2)^2/a+1-4=[a+5-4(\sqrt(a+1)]/(a-3)

Which of the following are solutions to the equation below?
Check all that apply.
(3x - 5)2 = 19
=
A. x= -V19+
B. X= -
V14
3
O c. x=
114
3
O D. x= -119 +5
3
E. x = V19+
+
3
V19 +5
O F. X=
3

Answers

A. C. and E. Are the answers i belive you welcome

The solutions are x = (5 + √19)/3 and x = (5 - √19)/3. These match options E and F in your question.

What is the solution for an equation?

The solution of an equation refers usually to the values of the variables involved in that equation which if substituted in place of those variable would give a true mathematical statement.

We are given that;

The function (3x - 5)2 = 19

Now,

To find the solutions to the equation (3x - 5)^2 = 19, we need to use the following steps:

Take the square root of both sides to get 3x - 5 = ±√19

Add 5 to both sides to get 3x = 5 ±√19

Divide both sides by 3 to get x = (5 ±√19)/3

Therefore, the solutions of the equations will be x = (5 + √19)/3 and x = (5 - √19)/3.

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Any two figures in a plane can be proven congruent by:

A. the fact that they are the same shape.
B. the fact that all of their angles are the same measurement.
C. a series of rigid motions that takes one figure to the other.
D. having at least three corresponding parts.

Answers

Answer:

A.

Step-by-step explanation:

Definition:

GEOMETRY

(of figures) identical in form; coinciding exactly when superimposed.

GOAL: Your goal is to create a collage out of real life scenario that involves one of the different kinds of variation. Create a collage showing how variation can be applied in the current situation in the world right now. ROLE: Artist AUDIENCE: Art Enthusiast SITUATION: You have participated in a contest and must make an artwork with a theme: “MATH IN THE NEW NORMAL: ADOPTING, CONNECTING AND ENJOYING”. As an aspiring artist you are going to show people how variation is important in real life. PRODUCT: Collage with problems and solution involving variation STANDARD FOR ASSESSMENT: Clarity, Accuracy and Creativity

Answers

Answer: How is this math

Step-by-step explanation: What can I help you with? I’m not sure what you’re asking

2x2 cuantos porfasss

Answers

Answer:

4

Step-by-step explanation:

Answer:

2 x 2 = 4

Step-by-step explanation:

if you count 2 2 times then you would get 4. EASY

Find f(-2) for f(x) = 3.2%

Answers

Answer:

f(-2)= -12Step-by-step explanation:f(-2)= 3*2(-2)f(-2)= 3*(-4)f(-2)= -12.

Step-by-step explanation:

HELP WITH THESE 3 QUESTIONS (BRIANLIEST AND 50 POINTS) hint: question 1 is answered (NO LINKS)
Amos scored 100 points while playing 3 rounds of a game.
Round 1 : 30 points
Round 2 : 25 points
Round 3 : ?
How many points did he score in round 3?
Complete the steps to solve the problem

1. What do you need to solve for in this problem? Choose a variable to represent this unknown value. answer: Round 3 = x
x + 30 + 25 = 100


2. Using the variable you chose, write an equation to represent this situation. (Hint: You may want to put the number of points in each round on one side and the total number of points on the other.

3. Solve this equation to find how many points Amos scored in round 3. Show your work.

Answers

Answer:

45 points in round 3

Step-by-step explanation:

x + 30 + 25 = 100

combine like terms

30+25 = 55

x + 55 = 100

  - 55     - 55

--------------------

x = 45

therefore, Amos scored 45 points in round 3

hope this helps! :D

have a MIRACULOUS day, and brainliest is immensely appreciated!! <3

Answer:

x = 45 points

Round 3 : 45 points

Step-by-step explanation:

Starting Information:

100 points = 3 rounds

Round 1 : 30 points

Round 2 : 25 points

Round 3 : x

Subtraction:

To find x we need to subtract 30 and 25 from 100

100 - 25 - 30 = x points

Combine -30 and -25 into -55

100 - 55 = x

100 - 55 = 45

In round 3 he scored 45 points

Addition:

To find x we need to add 30 + 25 + x and get a sum of 100

25 + 30 + x = 100

Combine 25 and 30

55 + x = 100

Subtract 55 from each side

x = 45

Here are the 2 expressions I used:

25 + 30 + x = 100

100 - 25 - 30 = x

Note:

My work is not number assigned but hopefully you can understand it :)

What is the solution for -10 < x - 9?

x > -19
x < -1
x < -19
x > -1

Answers

Answer:

  x > -1

Step-by-step explanation:

Add 9 to both sides of the inequality.

  -10 +9 < x -9 +9

  -1 < x

In the form of the answers, ...

  x > -1

The solution for the given inequality is x > -1. The correct option is the last option x > -1

Linear inequalities

From the question, we are to determine the solution for the given inequality

The given inequality is -10 < x - 9

To solve an inequality, we will solve for the variable. The variable here is x

The inequality can be solved as follows

-10 < x - 9

Add 9 to both sides

-10 +9 < x - 9 + 9

Simplifying

-1 < x

Now, if -1 < x

Then,

x > -1

Hence, the solution for the given inequality is x > -1. The correct option is the last option x > -1

Learn more on solving Linear inequalities here: https://brainly.com/question/246993

Help!! Ill give 100 points if your correct

Answers

[tex]\\ \sf\Rrightarrow 12\dfrac{5}{6}-5\dfrac{1}{6}[/tex]

[tex]\\ \sf\Rrightarrow \dfrac{77}{6}-\dfrac{31}{6}[/tex]

[tex]\\ \sf\Rrightarrow \dfrac{77-31}{6}[/tex]

[tex]\\ \sf\Rrightarrow \dfrac{46}{6}[/tex]

[tex]\\ \sf\Rrightarrow \dfrac{23}{3}[/tex]

[tex]\\ \sf\Rrightarrow 7\dfrac{2}{3}[/tex]

Given info:- Subtract and simplify. 12(5/6) - 5(1/6) The given options are (a) 6(1/3) (b) 5(2/3) (c) 7(1/3) (d) 7(2/3)

Solution: 12(5/6) - 5(1/6)

= (72+5)/6 - (30+1)/6

= 77/6 - 31/6

Take the LCM of 6 and 6 is 6.

so,

= (77*1 - 31*1)/6

= (77-31)/6

= 46/6

= (46÷2)/(6÷2)

= 23/3

= 7(2/3) Ans.

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Jerome solved the equation 1 3 x + 5 6 = 1 as shown. 1. Subtraction property of equality: 1 3 x + 5 6 − 5 6 = 1 1 − 5 6 2. LCD: 1 3 x = 1 6 − 5 6 3. Multiply by...

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A cone has a height of 15 millimeters and a radius of 15 millimeters. What is its volume?
Use a 3.14 and round your answer to the nearest hundredth,

Answers

Answer:

10,597.50 cubic mm

Step-by-step explanation:

V(cone) = [3.14(h)(r²)] ÷ 3

= 3.14(15)(15²) ÷ 3

= 10,597.5

The sum of a number times 3 and 16 is at least 16.

Answers

5.33 is the answer I believe

express the following ratio in the simplest form 7.2m to 24cm​

Answers

Answer:

Our simplified ratio is 3:10.

Step-by-step explanation:

We are given this ratio:

7.2:24

We can tell that 7.2:24 = 7.2/24. Now, let's simplify.

=> 7.2/24 = 6/20=> 6/20 = 3/10

Our simplified fraction is 3/10. Now, let's turn it back to ratio form.

=> 3/10 = 3:10

Conclusion:

Therefore, our simplified ratio is 3:10.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

A trucking company uses matrix A, shown below, to represent the driving time in hours for 6 trucking routes. A=[4686810]The driving time matrix is based on an average speed of 60 miles per hour. This means that the matrix 60A represents the driving distances in miles for these 6 trucking routes. Which of these is the matrix 60A?

Answers

Answer:

The answer is 90A because.....

Step-by-step explanation:

The truck company is 90 miles an hour away so the matrix divided by two is 3 plus 6 again is 9 hoped is help you.

Write from least to greatest​

Answers

Answer:

-9.5, -9, -8.5, -4, -2.5, 0, 7.7, 8

Step-by-step explanation:

hopes this helps <3

Mr. Green orders some cookies from a local youth group. Using his order form shown below, complete the last column to find the total to be paid. Quantity Description Unit Price Total of Line 1 Krispy Kosmos $2.89 $ 2 Chewy Chocos $3.19 $ 1 Gooey Globs 2.99 $ Total $ 5.2% tax $ Total to be paid $ a. $9.54 b. $12.26 c. $12.90 d. $18.64 Please select the best answer from the choices provided A B C D

Answers

From the computation done, it can be denoted that the total price that will be paid will be $12.90.

1 Krispy Kosmos at $2.89 = $2.89

2 Chewy Chocos at $3.19 each = 2 × $3.19 = $6.38

1 Gooey Globs at $2.99 = $2.99

Total = $2.89 + $6.38 + $2.99 = $12.26

We'll then add the sales tax of 5.2%, therefore, the total value will be:

= $12.26 + (5.2% × $12.26)

= $12.26 + $0.638

= $12.90

In conclusion, the correct option is $12.90.

Learn more about prices on:

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Answer:

C

Step-by-step explanation:

Edg 2022

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