if x+1/x = 5 find the value of x^3 +1/x^3. pls solve​

Answers

Answer 1

Answer:

1) solve x+1/x = 5

[tex] \frac{x + 1}{x} = 5[/tex]

[tex]x + 1 = 5x[/tex]

[tex]x - 5x = - 1[/tex]

[tex] - 4x = - 1[/tex]

[tex]x = \frac{ -1}{ - 4} [/tex]

[tex]x = \frac{1}{4} [/tex]

2) solve x³+1/x³

[tex]x {}^{3} + \frac{1}{x {}^{3} } [/tex]

substitute x = 1/4 into the expression

[tex]( \frac{1}{4} ) {}^{3} + \frac{1}{( \frac{1}{4}) {}^{3} } [/tex]

[tex] \frac{1}{64} + \frac{1}{ \frac{1}{64} } [/tex]

[tex] \frac{1}{64} + \frac{64 \times 1}{1} [/tex]

[tex] \frac{1}{64} + 64[/tex]

[tex] \frac{4097}{64} \: or \: 64.02[/tex]


Related Questions

Which of the following is equivalent to (8-5) ÷ 2 to the third power?
A. 3/8
B. 19/8
C. 27/8
D. 1/125​

Answers

Answer: 27/8
Work:
8-5=3
3/2=1.5
1.5 to the 3rd is 3.375
Put 3.375 into a fraction you get 27/8

The required value is 27/8, which is determined when we compute the expression (8-5) ÷ 2 raised to the third power. Thus, the option (C) is correct.

To find the equivalent expression to (8-5) ÷ 2 raised to the third power, we first simplify the expression inside the parentheses:

(8-5) ÷ 2 = 3 ÷ 2.

Next, we raise this simplified expression to the third power:

(3 ÷ 2)³

To evaluate this, we cube both the numerator and denominator:

(3^3) ÷ (2³) = 27 ÷ 8.

Therefore, the expression (8-5) ÷ 2 to the third power is equivalent to 27/8.

Hence, the correct answer is option C: 27/8.

This means that 27/8 is the value we get when we compute the expression (8-5) ÷ 2 raised to the third power.

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Increase 60kg by 33⅓ please help!​

Answers

Answer:

2000 kg is the answer.

Step-by-step explanation:

We need to increase 60 kg by [tex]33\dfrac{1}{3}[/tex].

The given value is 60 kg. We can find it by finding [tex]33\dfrac{1}{3}[/tex] of 60 kg.

[tex]=60\times \dfrac{100}{3}\\\\=20\times 100\\\\=2000[/tex]

Hence, if we increase 60 kg by [tex]33\dfrac{1}{3}[/tex], we will get 2000 kg.

What is the unit rate of $8.75 for 2.5 gallons?

Answers

Answer:

21.875

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

$8.75/2.5

$8.75× 2.5= 21.875

2.5×2.5=1

Your social security number?
A) continuous
B) discrete
C)categorical

Answers

B is the correct answer

Can somebody please tell me the value of x

Answers

Answer:

x=-4

Step-by-step explanation:i think this is is i hope it helps

whats one plus 1 x 111111100000+y7897654323456x1

Answers

Answer:

Shoyo here!

Step-by-step explanation:

10000000000000000000000000000000

I've been stuck on this for like 20 minutes ;-;

Answers

Answer:

3+2

Step-by-step explanation:

Answer:

3+2

Step-by-step explanation:

I need help with number 20 please help!!!

Answers

It can possibly be 20/1

Find m2H.
E
81°
A. 81°
B. 162°
C. 89°
D. 99°

Answers

The answer is freaking D . All you gotta do is subtract 180 and 81 and you’ll get 99 degrees

Maria tenia 6.500kg de patatas. Las envaso en sacos de 25kg y los puso a la venta a 30$ cada uno. Vendio la mitad de los sacos a ese precio y el resto los vendio todos a 2$ menos cada saco. ¿ Cuanto dinero obtuvo?

Answers

Responder:

$ 7540

Explicación paso a paso:

Dado que:

Kilogramos totales de papa = 6500

Número de kilogramos por paquete = 25

Precio por paquete = $ 30

La mitad se vendió a $ 30

El resto se vende a ($ 30 - $ 2)

Número total de paquetes de 25 kg:

6500 kg / 25 kg = 260 paquetes

Por lo tanto, paquete total = 260 paquetes

La mitad se vende a $ 30:

(260/2) * 30

130 * $ 30 = $ 3900

Resto vendido a $ 28:

(260 - 130) * $ 28

130 * $ 28 = $ 3640

Cantidad total realizada:

$ (3640 + 3900) = $ 7540

At a dinner the meal costs $22 and a sales tax of $1.87 was added to the bill ow much would the sales tax be on $66 meal What is the tax rate for meals in the city At a dinner the meal costs $22 and a sales tax of $1.87 was added to the bill At a dinner the meal costs $22 and a sales tax of $1.87 was added to the bill At a dinner the meal costs $22 and a sales tax of $1.87 was added to the bill how much would the sales tax be on $66 meal What is the tax rate for meals in the city

Answers

Answer:

$5.61

8.5%

Step-by-step explanation:

Cost of meal = $22

Sales tax = $1.87

How much would the sales tax be on $66 meal

= $66/$22 × $1.87

= 3 × $1.87

= $5.61

What is the tax rate for meals in the city

Tax rate = sales tax / cost of meal × 100

= $1.87/$22 × 100

= 0.085 × 100

= 8.5%

Tax rate = 8.5%

Justin runs 5 laps around the track in 8 minutes. If Justin runs 12 laps at the same rate, how long will it take? Write your answer using numbers only, no units.
PLEASE ANSWER
WILL MARK BRANLIEST

Answers

Answer:

the answer should be 19.2

It will take 19.2 minutes

What is the solution of the equation 70 = 1.4y ?

Answers

So you basically have to divide 1.4 on both sides so you can get y by its self. Once you divide 60 by 1.4 you’ll get 50.

y=50

The solution of the equation 70 = 1.4y is 50.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given equation is 70 = 1.4y.

Seventy equal to one point four y.

In the given equation the variable is y.

We need to solve for the y.

70 = 1.4y.

Divide both sides by 1.4

70/1.4=y

Seventy divided by one point four equal to y

50=y

The value of y is fifty.

Hence, the solution of the equation 70 = 1.4y is 50.

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You want to know the opinions of dog owners across America on the issue of establishing a law requiring individuals who own pit bulls to obtain insurance for their dogs. You obtain a list of all registered dog owners and mail a survey to a random sample of 5,000 owners. Of those, 2,389 responded and 22% say that they favor the law. Which of the following statements is true?

Because random sampling is used, we can feel confident the percentage of all dog owners who say they favor insurance for pit bulls is close to 22%.

Because less than half of those who were mailed the survey actually responded, we can feel fairly confident that the actual percentage of all dog owners who say they favor pit bull owners getting insurance for their dog is close to 22%.

We cannot trust these results because the survey was mailed. Only survey results from face-to-face interviews are considered valid.

The results of this survey may be affected by nonresponse bias.

Answers

Answer:

The results of this survey may be affected by nonrepsonse bias

Step-by-step explanation:

Just took this test

Answer:

The results of the survey may be affected by no response bias

Step-by-step explanation:

what is the area if b=16mm and h=12mm

Answers

Answer: 96

Step-by-step explanation: the formula for area of a triangle is 1/2 (b)(h)

so 1/2 (16)(12)

= 96

ONLY ANSWER IF YOU HAVE SOLUTION OR ELSE U WILL BE REPORTED!
There are 12 runners in marathon and all runners have equal chance of winning. What is the probability that a person may win a bet on the race if he has to correctly select the top 3 runners and
the order they finish in?
a) 1/1320 b) 1/1728
c) 3/1728 d) 1/12
kindly solve it using permutation technique

Answers

Answer:

A) 1/1320

Step-by-step explanation:

We know there are 12 runners in the race. Of these 12 people, one of them will get first place. In other words, 12 people have a chance of getting first place. Now there are 11 people remaining to get second place. Since one of the twelfth came first place, there are now 11 runners remaining to get second place. Finally, there are 10 people remaining. Since two of the 12 people came first and second, there are 10 people remaining who can get third place. So if a person was to correctly select the top 3 runners, then he would have a chance of 1/1320. You get this by multiplying 10, 11,12. You get 1320. since you have to pick one combination of 1st,2nd, and 3rd, the answer is A.

What is the approximate area of the shaded sector in the circle shown below? A. 150.8 cm2
B. 6.28 cm2
C. 37.7 cm2
D. 3.14 cm2

Answers

Answer:

C

Step-by-step explanation:

The area (A) of the sector is calculated as

A = area of circle × fraction of circle

(central angle is equal to the measure of the arc, that is 30° )

A = πr² × [tex]\frac{30}{360}[/tex]

   = π × 12² × [tex]\frac{1}{12}[/tex]

   = 144π ÷ 12

   = 12π

    ≈ 37.7 cm² ( to the nearest tenth )

True or False. Exponential Functions will create a straight line on a graph

Answers

Answer:

False

Step-by-step explanation:linear functions will create a straight line on a graph, exponentials will not.

Pls help I’m timed on my test
what is the y- intercept of the linear function?
Y = -1/3 x + 1

Answers

Answer:

+1

Step-by-step explanation:

the last number is the y intercept

Answer:

The y-intercept is (0,1).

Step-by-step explanation:

y=mx+b

b is the y-intercept

Which of the following numbers is irrational?
A) 6.124
B) √7
C) √0.25
D) 0.12¯¯¯¯

Answers

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

mr brown and his 2 children are going to london by train
an adult ticket costs £24.
an child ticket costs £12

mr brown has a family railcard

family railcard gives : 1/3 off adult tickets

60 percent off child ticket


work out the total cost of the tickets when mr brown uses his family railcard

Answers

Answer:

The total cost will be equal to 25.6£

Step-by-step explanation:

In order to solve this question we will have to figure out the cost of the adult ticket and the children tickets when the railcard is used. For this we do the following.....

Let "a" be the cost of the adult ticket after using the railcard

Let "b" be the cost of the children ticket after using the railcard.

a = 24£ - (24£ x [tex]\frac{1}{3}[/tex]) = 24£ - 8£ = 16£

b = 12£ - (12£ x [tex]\frac{6}{10}[/tex]) = 12£ - 7.2£ = 4.8£

Now the total cost will be equal to the sum of an adult ticket and two children tickets after the railcard is used, so .....

Total cost = a + 2b = 16£ + 2(4.8£)= 16£ + 9.6£ = 25.6£

These algebraic expressions are not equivalent. Explain
why they are not equivalent.
1
x2
2
+ 8.x-x2 - 6x
222 - 2x

Answers

Answer:

in the 1st row, one x^2 is positive while the other is negitive, making the total zero. also in the top row 8x+(-6x) = 2x, but in the 2nd row is says -2x, showing they are not the same. Also there is no -1/2 in the 2nd row like there is in the 1st row

Step-by-step explanation:

HELPPPP PLEASEEEE dfuij bfsv

Answers

Answer:

7

Step-by-step explanation:

16+5+16+5+16+5

Answer: 6.875 If it aks you to round it is 7 gallons.

Step-by-step explanation:

What fraction does Point A on the number line below represent?


A. 4/8
B. -4/8
C. 2/8
D. -2/8

Answers

Answer:

D

Step-by-step explanation:

There is 8 parts and its negative and its 2/8

Answer: The answer is D or 2/8

Step-by-step explanation:

I bet no one can solve this

(+)^=∑24_(=0)^▒〖(¦) ^ ^(−) 〗

HAHAHAAAAAAAAAAAAA

Answers

Answer:

free points nice

Step-by-step explanation:

What's this? Cute. Thnx for the freee pointttssss <3

8. Find the x and y intercepts. 6x + 12y = 24 ​

Answers

Make it slope intercept form
12y = -6x + 24
Divide by 12
Y = -1/2x + 2
Plug in 0 for x, y intercept = 2
Plug in 0 for y, x intercept = 4
X int = 4, y int = 2

Answer:

x - intercept: 4

y - intercept: 2

Step-by-step explanation:

The way you find the x-intereceppt is to pretend that the 12y isnt there. Therfore making the equation 6x=24. Then 24 divided by 6 equals 4.

The same thing but for the y-intercpt. Take away the 6x making the equation 12y=24. 24 divivded by 12 equals 2.

What is the image point of (-8, 7) after a translation right 5 units and up 5 units?

Answers

Answer:

(-3,12)

Step-by-step explanation:

.brainliest if correct wrong or troll is reported
Carrie’s pencil was more than inches long and less than inches long. Which measurement could be the length of Carrie’s pencil?
A. 4 3/5 inches
B. 4 4/5 inches
C. 4 5/6 inches
D. 4 3/8 inches

Answers

Answer:

The correct answer is

Step-by-step explanation:

D would be the correct answer

What is the ratio of 4 red apples and 3 green apples

Answers

Answer:

4:3 8:6 12:9 so on

Step-by-step explanation:

Answer:

4 to 3 or 3 to 4

Step-by-step explanation:

depending on how the question is worded if its red the green then 4 to 3 but if it green to red then its 3 to 4.

what fraction is equivalent to -3/7
A. 3/-7
B.-3/-7
C.-7/3
D.7/3
ALSO PLEASE SAY HOW I NEED TO EXPLAIN HOW ITS EQUIVALENT​

Answers

Answer:

A

Step-by-step explanation:

It is equivalent because as along as only one has the negative sign, then it will still be negative. Both being negative makes it positive and flipping the fraction changes the value.

Answer:

A

Step-by-step explanation:

the negative sign is exchangeable between the denominator and numerator because positive multiplied or divided by a negative will aways be a negative

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Regina orginally packed 10 goodies bags for her birthday party. She found out the day before the party that a few more friends would be attending so she made three additional bags for the party. Write an algebraic expression to represent the total number of candies and toys that Regina made for her birthday party. Brainiliest if right 3. Solve the following equation.-y/7 = 35 A. -245B. 5C. 245D. -5 What is the difference between the words "allusion" and "illusion"? a allusion= connect with prior knowledge illusion= magic trick that fools your eyes b The words are synonyms. c allusion= magic trick that fools your eyes illusion= connect with prior knowledge d They are different spellings, but they mean the same thing. 7Correct answer I will put as brainiest f(x)= x^2 + 6x + 8g(x)= x+2(f+g)(x)=(f-g)(x)=(fg)(x)=(f/g)(x)= What is globalization? O A. A constant change in weather patterns that is occurring all over the globe OB. A movement for countries to turn to an economy based on bartering C. The movement from many local economies to one economy that is global O D. The tendency for global companies to create small local businesses Match the equation and the description non-proportional Realationship Plz helpSimplify 6(x + 4) Pls help me fast I will mark u as the brainliast.pls help meeee You have a client whose business uses accrual-basis invoicing and accounts receivable workflow. They use the Banking screen to enter a deposit for a payment check, which they post manually to an income account. What problems will this cause? Jessica always uses the same ratio of green beads to blue beads when she makes necklaces. The graph shows these equivalent ratios.Which table shows the same data? Which African country and Tribes were involved in the initial slave trading to Western Americans and Europeans? Help pls I'm really busy and if I get ur help you will make my whole day :( The Guarantee Clause gives the legislature the power to make all necessary and proper laws. What is 2/5 1/10 = ? Does Social Media platforms make real-world bullying worse? Can someone help me answer this in a parents perspective (2,3+) Suppose your normal body temperature is 98 3/5degrees Fahrenheit. If your body temperature goes up 3 1/5 degrees on Monday and then down 2 1/5 degrees on Tuesday, what is your temperature on Tuesday? The Judiciary Act of 1789A. gave the president power to appoint judges.B. was declared unconstitutional in the McCulloch v. Maryland case.C. allowed John Marshall to become the chief justice.D. gave the Supreme Court the power to hear special cases pls help how do u do this??? 12. The elements of art and principles of design are design are ..A. guidelines for taking pleasing photographsB. automatically included in every picture takenC. principles that apply to photography, but not other arts D. complicated concepts used only by professional photographers