If x= √3, find the value of x⁴.​

Answers

Answer 1

Answer:

9

Step-by-step explanation:

Hi there!

We're given that x=√3, and we want to find the value of [tex]x^4[/tex]

We can substitute √3 as x, and then raise it to the 4th power, but if you don't know what that number is, it might be difficult to figure it out.

An easier way would be to write [tex]x^4[/tex] as x² * x², which in that case, we can multiply √3 by itself, multiply √3 by itself again, and then multiply those 2 numbers together.

If we do it this way, it'll look something like this (remember: x² is equal to x*x, or (x)²:

(√3)² * (√3)²

The order of operations will ask us to first take care of what's in the parentheses, and then to raise the numbers to their powers. Starting with the number on the left of the multiplication sign,

(√3)² = (√3)(√3)=3

And then the number on the right of the multiplication sign:

(√3)² = (√3)(√3)=3

Substitute these numbers in as (√3)² and (√3)²:

3 * 3 = 9

Therefore, x² * x², or [tex]x^4[/tex] is equal to 9

Hope this helps!


Related Questions

6 of 15 motorist is what percent

Answers

Answer:

40%

Step-by-step explanation:

6/15 is the same as 2/5 which is .40 or 40%

Answer:

40%

Step-by-step explanation:

Select Is a Function or Is not a Function to correctly classify each relation.

Is a Function Is not a Function
{(2, 2),(4, 4),(6, 6),(8, 8)}
Is a Function – { ( 2, 2 ),( 4, 4 ),( 6, 6 ),( 8, 8 ) }
Is not a Function – { ( 2, 2 ),( 4, 4 ),( 6, 6 ),( 8, 8 ) }
{(0, 3),(3, 5),(5, 6),(8, 4)}
Is a Function – { ( 0, 3 ),( 3, 5 ),( 5, 6 ),( 8, 4 ) }
Is not a Function – { ( 0, 3 ),( 3, 5 ),( 5, 6 ),( 8, 4 ) }
{(1, 2),(3, 3),(4, 8),(6, 3)}
Is a Function – { ( 1, 2 ),( 3, 3 ),( 4, 8 ),( 6, 3 ) }
Is not a Function – { ( 1, 2 ),( 3, 3 ),( 4, 8 ),( 6, 3 ) }
{(3, 4),(5, 2),(5, 6),(7, 3)}
Is a Function – { ( 3, 4 ),( 5, 2 ),( 5, 6 ),( 7, 3 ) }
Is not a Function – { ( 3, 4 ),( 5, 2 ),( 5, 6 ),( 7, 3 ) }

Answers

Answer:

1. Yes, is a function {(2, 2),(4, 4),(6, 6),(8, 8)}

2. Yes, is a function {(0, 3),(3, 5),(5, 6),(8, 4)}

3. Yes, is a function {(1, 2),(3, 3),(4, 8),(6, 3)}

4. No, not a function {(3, 4),(5, 2),(5, 6),(7, 3)}

Step-by-step explanation:

1. Since there is one value of y for every value of x in  {(2, 2),(4, 4),(6, 6),(8, 8)} , this relation is a function.

2. Since there is one value of y for every value of x in {(0, 3),(3, 5),(5, 6),(8, 4)}, this relation is a function.

3. Since there is one value of y for every value of x in {(1, 2),(3, 3),(4, 8),(6, 3)}, this relation is a function.

4. Since x=5 produces y=2 and y=6, the relation {(3, 4),(5, 2),(5, 6),(7, 3)}, is not a function.

1 2 3 are true the last one is not there it is.

how do i know?

well i did the test my self.

just trust me.

Suppose you want a guitar. It costs $756. About how much would you have to save every month for 6 months to be able to buy the guitar? i assume $126?

Answers

Answer:

$126 is correct

Step-by-step explanation:

Answer:

$126/month

Step-by-step explanation:

Divide the total cost ($756) by 6 (months).  We get $126/month.  Six months' payment (6 times $126) will produce a total savings of $756.

The rectangle below has an area of 55x^6+22x^455x 6 +22x 4 55, x, start superscript, 6, end superscript, plus, 22, x, start superscript, 4, end superscript. The width of the rectangle is equal to the greatest common monomial factor of 55x^655x 6 55, x, start superscript, 6, end superscript and 22x^422x 4 22, x, start superscript, 4, end superscript. What is the length and width of the rectangle?

Answers

Answer:  I had difficulty reading the problem, so please check my interpretation.

Width is 11x^4 and Length is 5x^2 + 2

Step-by-step explanation:

Area of rectangle is 55x^6+22x^4Width is equal to the GCF of 55x^6 and  22x^4

The greatest common factor of 55x^6 and  22x^4 is 11x^4.  So the width is 11x^4.

Length = (55x^6+22x^4)/(11x^4)

Length = 5x^2 + 2

If you subtract ¾ by ¼,what is the difference?

Answers

[tex] \frac{3}{4} - \frac{1}{4} \\ = \frac{3 - 1}{4} \\ = \frac{2}{4} \\ = \frac{1}{2} [/tex]

- BRAINLIEST answerer

2/4 is the difference

PLEASE HELP ME AND NOT JUST ANSWER FOR POINTS!!!

Answers

But what’s you problom?

3 1/2 units from -2 on a number line. Which numbers, if any could be the value of m

Answers

Answer:

1 1/2 and -5 1/2

Step-by-step explanation:

if you add 3 1/2 to -2 you get 1 1/2

if you subtract 3/12 from -2 you get -5 1/2

BRAINLIEST x 3
It is kinda late and I need to finish my work
Please help me
If you answer this I will create two other posts to give you extra brainliests

Answers

5. x=13
6. x=7
7. x=26
8. x=18
9. x=11 y=3
10. x=24
11. x=18 y=5
12. x= 17 y= 9

hope this helped!:)

The following equation is true because of the distributive property, YES or NO.

2(y + 5) = 2y + 10

Answers

The answer is yes.

Step-by-step explanation:

The number outside the bracket gets multiplied with both the numbers inside the bracket.

MODELING REAL LIFE You have $9.25. How many games can you bowl if you rent bowling shoes?

Answers

Answer:

For starters how much does it cost to rent out the shoes

2nd of all how much does it cost too play each game ??

Step-by-step explanation:

ill answer just gimme the info pls

Today, Lexi is going to an art museum to see a special exhibit. It takes Lexi 26 minutes to walk to the subway station. She will ride the subway for 5 minutes and then walk 7 minutes to the art museum. If Lexi needs to be at the art museum by 8:00 A.M., what is the latest time she can leave her house?

Answers

Answer:

7:22

hope this helps and please mark brainllest

find the volume of the prism

Answers

Answer:

96ft^3 (The third option)

Step-by-step explanation:

The volume of a prism is derived by the formula length*width*height. This is also known as the base*height. The base here is 6*4, but since it's a triangle, we divide by 2 to get 12 as the base. the height is 8, so 12*8=96 ft^3. Hope this helps!

a plumber who is just starting out offers low rates to attract new customers. He charges $35
to visit a client's home, plus an additional $20 per hour.
Write an equation that shows how the cost of a visit, y, depends on its duration in hours, X.

Answers

Answer:

y=20x+35

Step-by-step explanation:

if a plumber who is just starting out offers low rates to attract new customers. He charges $35 to visit a client's home, plus an additional $20 per hour. Then y=20x+35 is equation that shows how the cost of a visit, y, depends on its duration in hours, X.

What is Equation?

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

Given that

a plumber who is just starting out offers low rates to attract new customers

Plumber charges $35 to visit a client's home, plus an additional $20 per hour.

Let the charges per hour be denoted by x.

and it is given that y is cost of a visit.

We are required to write equation for cost of a visit y.

y equal to twenty x plus thirty five.

y=20x+35

Hence if a plumber who is just starting out offers low rates to attract new customers. He charges $35 to visit a client's home, plus an additional $20 per hour. Then y=20x+35 is equation that shows how the cost of a visit, y, depends on its duration in hours, X.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ5

4 1/2 + 1 3/5
What is the sum because I’m very slow

Answers

First, chance the fractions so the denominators are the same. The GCF of these is 10, so multiple both numerators and denominators so the denominator is 10.

1/2 = 5/10

3/5 = 6/10

Add the wholes and the fractions:

5 11/10

Since the numerator is higher than the denominator, we can make another whole:

11/10 - 10/10 = 1/10

So 5 becomes 6 because of the whole:

5 + 1 = 6

The fraction becomes 1/10:

So the final answer is:

6 1/10

(Important Note: Unless asked, you must always put fractions into its smallest form, meaning numerator can NEVER be higher than the demoninator. When you do this process, do not forget to add the whole number or else you will be incorrect.)

(Second note: its not GCF its closest product they have.)

Answer:

6 1/10

Step-by-step explanation:

convert mixed fraction to improper fraction

4 1/2 + 1 3/5

= (4*2 + 1) / 2 +  (1*5 + 3) / 5

= 9/2 + 8/5

= lcm of 2 and 5 = 10

= (5 * 9 + 8 * 2)  /10

= (45 + 16)  /10

= 61/10

= (60 + 1) / 10

= 6 1/10

Hope it helps.

kayla ran 10 miles it took her 60 minutes how many minutes did it take her to run each mile?

Answers

Answer: 4 hours 30 minutes

Step-by-step explanation: 36/8 = 4.5 hours

hours = 4, minutes = 0.5*60 = 30

Hello! I need help with this

Answers

Answer:

y = -16.25

Step-by-step explanation:

[tex]26=-\frac{8}{5}y[/tex]

It can also be written as

[tex]26=\frac{-8y}{5}[/tex]

-8y = 26 * 5

-8y = 130

y = 130/-8 = - 65/4 = -16.25

Zachai finishes the level in 154 seconds. how many bonus points did Zachai earn.

Answers

Answer:

154 bonus points.

Step-by-step explanation:

The water park is a popular field trip destination this year the senior class at High School A and a senior class at High School B both planned trips there. The senior class at High School A rented and filled 10 vans and six buses with 220 students. High School B rented and filled 11 vans and 12 buses with 350 students. Every van had the same number of students in it as did the buses. Find the number of students in each vans and each bus.

Please answer it respectfully, I need it right now. Hope somebody will answer it correctly. ​

10x+6y=220 divided by 11x+12y=350

Answers

Answer:

da gaba

Step-by-step explanation:

ngano nag pina

bdsbs

What is the sum of all positive integers that have twice as many digits when written in base $2$ as they have when written in base $3$? Express your answer in base $10$.

Answers

Only two positive integers, 2 and 8, fit the description.

2 = 10 (base 2) = 2 (base 3)

8 = 1000 (base 2) = 22 (base 3)

Their sum is 10.

what is? -6 = x + 6

this is one step equation addition / subtraction

Answers

[tex] \: \: \: \: \: [/tex]

x = - 12

refer to the attachment

refer to the attachmenthope it helps

[tex]\sf \longmapsto-6 = x + 6[/tex]

Flip the equation

[tex]\sf \longmapsto \: x+6=−6[/tex]

Subtract 6 from both sides

[tex]\sf \longmapsto \: x+6−6=−6−6[/tex]

[tex]\sf \longmapsto \: x=−12[/tex]

[tex] \boxed{ \sf \: x=−12}[/tex]

Help?

I tried : 3b^2(2b-1)(2b+1) and it was wrong ):

Answers

Answer:

b(3b−10)(b−1)

Step-by-step explanation:

b(3b−10)(b−1)

What is the geometric mean of
1. 16 and 27
2. 24 and 32
3. 5 and 36
4. 8 and 48

Answers

Answer:

1.  12√3

2.  16√3

3.  6√5

4.  8√6

Step-by-step explanation:

To find the geometric mean of n numbers multiply the numbers and then take the nth root.

For two numbers n = 2  

it's the square root of the product

√(16 * 27)

√432

12√3

√(24 * 32)

√768

16√3

√(5 * 36)

√180

6√5

√(8 * 48)

√384

8√6

A group of seven students brought enough peppermint candy to share equally among themselves during a computer lab meeting. which could be the number of pieces of peppermint candy they bought
A: 64
B: 56
C: 38
D: 27

Answers

Answer:

56

Step-by-step explanation:

how do i turn
[tex] \frac{63}{56} [/tex]
to a mixed fraction? ​

Answers

Step-by-step explanation:

63/56 = 9/8 = 1⅛.

hope this helps you.

Answer:

1 1/8.

Step-by-step explanation:

First divide 63 by 56 .

This gives 1 with a remainder of 7.

So we can write the mixed number as 1 7/56.

This simplifies to 1 1/8.

Help MEEEEE PLEASEEE

Answers

Answer:

below.

Step-by-step explanation:

2. 4.

3. 180   3. Internal angles between parallel lines.

4. 6.

5. 20 160.

graph the f(x)=(x+2)^2+3

Answers

Answer:

am also not sure

Step-by-step explanation:

this should be it, hope it helps.

Suppose a candy bar weighs 5.47 ounces. How much does a pack of 6 bars weight

Answers

Answer:

32.82

Step-by-step explanation:

Answer:

32.82 OUNCES

Step-by-step explanation:

It is really easy.

All you have to do is 5.47x6

Which point satisfies the system of equations y = 3x − 2 and y = -2x + 3?

Answers

Answer:

D

Step-by-step explanation:

Apply 1 as x, y = 3(1) - 2 is 1 and y = -2(1) + 3 is also 1, so the point is at (1, 1)


At his birthday party, John's mother served a plate of 23 cupcakes. If every person at the party ate the same amount of cupcakes and all of the cupcakes were eaten, how many people
were at John's birthday party?

A) 23
B) 12
C) 6
D) 4

Answers

Answer:

A) 23

Step-by-step explanation:

Let's divide the total number of cupcakes by the different option choices, and see what works and what doesn't:

A) 23/ 23 = 1

   This works, everyone will get one cupcake

B) 23 / 12 ≈ 1.91666667

   This doesn't work, we have a decimal / remainder, and you normally would not split 2/3s of a cupcake with someone at a party

C) 23 / 6 ≈ 3.8333334

   This doesn't work, we have a decimal / remainder, and you normally would not split 2/3s of a cupcake with someone at a party

D) 23 / 12 ≈ 5.75

   This doesn't work, we have a decimal / remainder, while this is a nicer remainder, it still is incorrect

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Which statement about the graphs of these two functions is true?

Answers

Answer:

Both graphs intersect the x-axis to the right of 0

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