If x=1+√2, evaluate x³+1/x³.

Answers

Answer 1

Answer:

18

Step-by-step explanation:

So we start solving like:

x+1x=3

(x+1x)3=33

x3+3.x2.1x+3.x.1x2+1x3=27

(x3+1x3)+3.x2.1x+3.x.1x2=27

x3+1x3+(3x+3x)=27

x3+1x3+3(x+1x)=27

x3+1x3+3×3=27

x3+1x3+9=27

x3+1x3=18  

Therefore the answer is 18


Related Questions

Please help! Correct answer only, please! Given matrix A and B both have dimensions 2 x 2 and are the inverse of one another what should be the following product? A · B A. B. C. D.

Answers

Answer:

if a matrix and another are inverse of each other, then they will form something known as the identity matrix. The identity matrix is the one I posted in the picture above. So your answer would be B

The diameter of a cylindrical construction pipe is 4ft If the pipe is 17ft long, what is its volume? Use the value 3.14 for /pi, and round your answer to the nearest whole number. Be sure to include the correct unit in your answer.

Answers

Answer:

213.52 cubic ft

Step-by-step explanation:

Diameter of pipe = 4ft

radius for circle is half of diameter

thus radius of pipe = 1/2 of 4ft = 2 ft

length of pipe = 17 feet

volume of cylinder is given by [tex]\pi r^2l[/tex]

where r is the radius and l is the length of cylinder

.

thus volume of pipe is calculated below using above values

[tex]volume \ of \ pipe = \pi r^2l\\volume \ of \ pipe = \3.14* 2^2*17 \\volume \ of \ pipe = 213.52[/tex]

volume of pipe is 213.52 cubic ft.

26 fifth graders are learning to make balloon animals. There are 580 balloons to share equally among the students. How many balloons will be left over?

Answers

Answer: There will be 8 balloons left over.

Step-by-step explanation: A total of 580 balloons to be distributed equally among 26 students means 580 ÷ 26.

The division is not exact, since 580 are not divisible by 26, it will result in a rest, so

580 ÷ 26 = 22 and has rest 8

Therefore, there will be 8 balloons left over.

what is the slope of the line that passes through (-5,-2) and ( 7, -2)

Answers

。☆✼★ ━━━━━━━━━━━━━━  ☾  

slope = difference in y / difference in x

Sub the values in:

slope = (-2- -2) / (7 - -5)

slope = 0 / 12

The slope is 0.

Have A Nice Day ❤    

Stay Brainly! ヅ    

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。☆✼★ ━━━━━━━━━━━━━━  ☾

Answer:

slope = 0

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 5, - 2) and (x₂, y₂ ) = (7, - 2)

m = [tex]\frac{-2+2}{7+5}[/tex] = [tex]\frac{0}{12}[/tex] = 0

help help help help help help help help help help help help help help help help help help help help help help help help

Answers

Answer:

rectangle 32

triangle 16

Step-by-step explanation:

The area of the rectangle is

A = bh

A = 8*4 = 32

The area of the triangle is 1/2 of the area of the rectangle

A =1/2 bh = 1/2 *32 = 16

Answer:

triangle = 16

rectangle = 32

It's the last option

Step-by-step explanation:

A for rectangle = b * h

= 8 * 4

= 32

A for triangle = 1/2 * b * h

= 1/2 * 32

= 16

Hope this helps!

Which of these statements is true for f(x) = 4 . (7)*?
A. It is always decreasing.
B. The y-intercept is (0, 1).
C. The y intercept is (0, 4).
D. The domain of f(x) is x > 0.

Answers

Answer:

C. The y-intercept is (0, 4).

Step-by-step explanation:

The graph of f(x) = 4 is a straight line parallel to the x-axis passing through the point (0, 4).

Answer:C

Step-by-step explanation:

BIG BRAIN

Select the values that make the statement true. n/100=1/d=p% PLZ HELP ME

Answers

Answer:

it will be: n =  5 d =  20 p = 5

Hope it helped!

A bicycle manufacturing company knows that the equation R=-2.5p?+ 500 p models
the relationship between the price (p) and the revenue (R) for one of its product lines.
What is the maximum revenue possible?
$​

Answers

Answer:

The maximum revenue is $25,000

Step-by-step explanation:

The model equation is;

R = -2.5p^2 + 500p

To find the maximum value, we differentiate this and set result = 0

The first differential of this model equation is -5p + 500

we set this to zero to get the maximum price

5p = 500

p= 500/5

p = 100

Now to get the maximum revenue, we simply substitute the value of the maximum price

That would be -2.5(100)^2 + 500(100)

= -2.5(10,000) + 50,000

= 25,000 + 50,000

= 25,000

in the data set shown, calculate the Mean and median absolute deviation 0,2,4,6, 8,12,8,4​

Answers

Answer:

the mean is 44 but i don't know the MAD

Step-by-step explanation:

To find the mean absolute deviation of the data, start by finding the mean of the data set.

0 , 2 , 4 , 4 , 6 , 8 , 8 , 12The mean is 44

The only thing i could tell you is the mean

Help por favorrrrr!!!!!

Answers

Answer:

101.956 cm

Step-by-step explanation:

You just have to do 7.18 times 14.2 to get the answer.

I hope this helped ;)

Answer:

101.956

Step-by-step explanation:

A=bh

7.18 x 14.2 = 101.956

to check your answer you would do the opposite 101.956/14.2 = 7.18 or 101.956/7.18 = 14.2

PLEASE HELP ILL MAKE YOU BRAINLIEST Which of the following ordered pairs should be tested to determine which side to shade when graphing the inequality y<2x+4

A.) Two points above the line y=2x+4

B.) A point on the line y=2x+4

C.) A point on either side of the line y=2x+4

D.) Two points below the line y=2x+4

Answers

Answer:

That would be option C.

Step-by-step explanation:

I literally just took the quiz and got it right.

evaluate x-2 for x=3

Answers

Answer:

f(x)=(x)^(-2)

f(-3)=(-3)^(-2)

f(-3)=(9)^(-1)

f(-3)=(1/9)

The question is above please help

Answers

2x^3y + 7xy^2 - 3x^2 - 12y

Answer:

● 2x³y + 7y²x - 3x² - 12y ✔

All single digit prime numbers are odd

Answers

Answer:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

Step-by-step explanation:

hope this helps!

Answer:no

Step-by-step explanation:

All single digit prime numbers are not odd because 2 is a single digit but not odd

Thea has a key on her calculator marked $\textcolor{blue}{\bf\circledast}$. If an integer is displayed, pressing the $\textcolor{blue}{\bf\circledast}$ key chops off the first digit and moves it to the end. For example, if $6138$ is on the screen, then pressing the $\textcolor{blue}{\bf\circledast}$ key changes the display to $1386$. Thea enters a positive integer into her calculator, then squares it, then presses the $\textcolor{blue}{\bf\circledast}$ key, then squares the result, then presses the $\textcolor{blue}{\bf\circledast}$ key again. After all these steps, the calculator displays $243$. What number did Thea originally enter?

Answers

Answer:

$9$

Step-by-step explanation:

Given: Thea enters a positive integer into her calculator, then squares it, then presses the $\textcolor{blue}{\bf\circledast}$ key, then squares the result, then presses the $\textcolor{blue}{\bf\circledast}$ key again such that the calculator displays final number as $243$.

To find: number that Thea originally entered

Solution:

The final number is $243$.

As previously the $\textcolor{blue}{\bf\circledast}$ key was pressed,

the number before $243$ must be $324$.

As previously the number was squared, so the number before $324$ must be $18$.

As previously the $\textcolor{blue}{\bf\circledast}$ key was pressed,

the number before $18$ must be $81$

As previously the number was squared, so the number before $81$ must be $9$.

help me please ill give you brainly :D

Answers

Answer:

The loose candy is less per gram

Step-by-step explanation:

First find the cost of the bags

1.49 /120 grams = .012416667 per gram

Then the cost of the loose candy

.89/100 grams = .0089 per gram

The loose candy is less per gram

Can someone help me prove the identity?

Answers

Answer:

See Explanation

Step-by-step explanation:

[tex]

\because \sin\bigg(\frac{\pi}{2} + x\bigg)= \cos x\\

\&\: \sin (\pi - x) = \sin x\\\\

Now,

\frac{\sin\bigg(\frac{\pi}{2} + x\bigg)}{\sin (\pi - x)} = \cot x\\\\

LHS

= \frac{\sin\bigg(\frac{\pi}{2} + x\bigg)}{\sin (\pi - x)} \\\\

=\frac{\cos x}{sinx} \\\\

= \cot x\\\\

= RHS\\\\

Hence\: Proved

[/tex]

A car is approaching a building. When it is 300 ft away, the angle of depression from the top of the building to the car is 42°. To the nearest foot, how tall is the building?

Answers

Answer: 333.2ft

Step-by-step explanation:

We can draw a triangle rectangle, where the distance between the base of the building and the car is one cathetus (300ft)

The height of the building is the other cathetus.

Now, we know that the angle of depression from the top of the building to the car is 42°

This angle is measured from a perpendicular line in from the building, so the "top angle" of the triangle rectangle will be:

90° - 42° = 48°

if we steep on this angle, the 300ft cathetus is the opposite cathetus and the height of the building is the adjacent cathetus.

Here we can use the relation:

Tan(A) = Opposite cathetus/adjacent cathetus:

Then:

Tan(48°) = H/300ft

Tan(48°)*300ft = H = 333.2ft

Answer:

270 ft

Step-by-step explanation:

The angle of depression from the top of the building to the car = 42° and the distance from the car to the building is 300 ft.

This can be represented by a right triangle with:

Adjacent side to the angle = distance from the car to the building = 300 ft, opposite side to angle = height of building = x and angle (θ) = 42°

From trigonometry:

[tex]tan(\theta)=\frac{opposite}{adjacent} \\Therefore:\\tan(42)=\frac{x}{300}\\ x = 300*tan(42)= 300*0.9\\x=270ft[/tex]

The height of the building is 270 ft

If the probability of passing a driving test is 0.9, what is the probability of falling the driving test.

Answers

Answer:

[tex]0.1[/tex]

Step-by-step explanation:

[tex]1-0.9[/tex]

[tex]=0.1[/tex]

Answer:

0.1

WHY DO I HAVE TO WRITE AT LEAST 20 CHARACTERS?!?!?!?!?!?!?!?! THIS IS MAD!!!

Justin ,cam and Ben are playing a board game where exactly one player will win .Ben estimates that Justin has a 20% chance of winning each game and that cam has a 50% chance of winning each game?

Answers

Question :

Justin, Cam, and Ben are playing a board game where exactly one player will win. Ben estimates that Justin has a 20%, percent chance of winning each game and that Cam has a 50%, percent chance of winning each game. What is the probability that Ben will win the board game?

Answer: 30%

Step-by-step explanation:

Given the following :

Justin's chance of winning each game = 20%

Cam's chance of winning each game = 50%

Therefore, probability of :

Justin winning = 20/100 = 0.2

Cam winning = 50/100 = 0.5

Overall probability = 100% = 1

Therefore,

P(Justin winning) + P(Cam winning) + P(Ben winning) = 1

0.2 + 0.5 + P(Ben winning) = 1

P(Ben winning) = 1 - 0.7

P(Ben winning) = 0.3

0.3 = 30%

What’s the value of x in centimeters

Answers

Answer:22.5

Step-by-step explanation:

multiply by 1.5

Answer:

22.5 cm

Step-by-step explanation:

Since the triangles are similar, we can use ratios to solve

AC          BC

-------- = ---------

FH             GH

12            15

-------- = ---------

18             x

Using cross products

12x = 15*18

Divide each side by 12

12x/12 = 15*18/12

x =22.5

A walkway of uniform width is to be built around a square swimming pool with 18-foot edges. How wide should the walkway be to make the area of the walkway’s surface 400 feet?

Answers

Given

an 18 ft square with a uniform border of width x

the area of the border is 400 ft²

Find

x

Solution

The outside dimension of the square with the border added is 18+2x, so the total area of square and border is (18+2x)². Subtracting the area of the original square gives the area of the border.

... (18+2x)² -18² = 400

... 4x² +72x = 400 . . . . . simplify

... x² + 18x = 100 . . . . . . .divid by 4

... x² +18x +9² = 100 +9² . . . . complete the square

... (x +9)² = 181 . . . . . . . . .simplify

... x = √181 -9 . . . . . . . . . take the square root, subtract 9

... x ≈ 4.4536 . . . . . . . . . evaluate

The appropriate choice is ...

... c. 4.45 ft

The width should be 4.45 ft

Calculation of the wi-dth:

Since there is uniform wi-dth  with 18-foot ed-ges. And, the surface is 400 feet

Also here we assume the width be x

Now the equation should be

[tex](18+2x)^2 -18^2 = 400\\\\ 4x^2 +72x = 400 \\\\ x^2 + 18x = 100 \\\\ x^2 +18x +9^2 = 100 +9^2 \\\\ (x +9)^2 = 181 \\\\ x = \sqrt181 -9 \\\\[/tex]

.x ≈ 4.4536

Learn more about surface here: https://brainly.com/question/17971267


For each tank explain whether or not there is a proportional relationship between the
amount of water in gallons, and the time in minutes. If there is a proportional
relationship, identify the unit rate. Use specific features of the graph to support your
answer? Which tank is proportional and how do you know ?

Answers

Answer:

1x 900y A

1.5xthere is orgian for B but none for a

find composite functions

Answers

Answer:

Hope this is correct.

pls help for brainliest answer

Answers

Answer:

189.3cm2

Step-by-step explanation:

Divide the whole figure into 2 parts. One part as a rectangle and the other as a semicircle  ( half a circle). First find the area of the rectangle, 10 times 15 which will get you 150cm2. Next to find the area of the semicircle do [tex]\pi[/tex] times 5 times 5 times half. You will get an amount like 39.26990817 but do not worry for now. Just keep it like that. Then add this amount with 150 and you will get an amount like 189.2699082

Then round it of to one decimal place and you will get 189.3cm2

Which of the following is equal to g(x)

Answers

Answer:

the answer is B thats wat equals to g(x)

Answer:

2x or h(x)

Step-by-step explanation:

Which table represents a linear function?

Answers

Answer:

the third one

Step-by-step explanation:

a linear function is information that is increasing or decreasing at a steady rate, in that specific set of data their decreasing at a rate of 2

i need help please asap!!....

Answers

Answer:  The answers are in the steps but you have to look closely because i wasn't able to create the table  so I just did something that looks like the table and put in the answers. Hopes it helps.

Step-by-step explanation:  

d)                                       Empire State Building

Original Image   actual Height      1450       1450          1450

Reduced Image    Model Height       145            58           28    

                               Scale Factor         [tex]\frac{1}{10}[/tex]              1/25         1/50

e) Yes  is correct because a dilation makes the  Original shape bigger or smaller and that depends on the scale factor.The greater the scale factor is, the bigger the shape gets and the small the scale factor is the  less the shape gets in size. So sally is totally right because if the number is less than one it is probably going to be a decimal less than one so and that makes the original shape smaller.

Pls help me!!

a= 2 / b= 3 / c= 5

Answers

Answer:

1066

Step-by-step explanation:

Fill in the numbers for the letters                                

Solve in the parenthesis

Multiply

Subtract

Answer:

1066

Step-by-step explanation:

substitute;

2×2^2×3^3×5 - 7×2

2×4×27×5 - 7×2

multiply;

1080 - 14 = 1066.

Find the area of the rhombus.

Answers

Answer:

40.5m^2

Step-by-step explanation:

Rhombus Formula:

A = pq/2

p = diagonal

q = diagonal

9x9/2 = 40.5m^2

I got a similar answer to this , Hope this helps
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