Given that n^2/3 = 8 and n> 0
work out the value of n.

Give your answer in the form a square root b where a and b are integers.

Answers

Answer 1

Answer:

16[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Using the rule of exponents/ radicals

[tex]a^{\frac{m}{n} }[/tex] = [tex]\sqrt[n]{a^{m} }[/tex] , then

[tex]n^{\frac{2}{3} }[/tex] = [tex]\sqrt[3]{n^2}[/tex] , then

[tex]\sqrt[3]{n^2}[/tex] = 8 ( cube both sides )

n² = 8³ ( take the square root of both sides )

n = [tex]\sqrt{8^3}[/tex]

   = [tex]\sqrt{512}[/tex]

   = [tex]\sqrt{256(2)}[/tex]

   = [tex]\sqrt{256}[/tex] × [tex]\sqrt{2}[/tex]

   = 16[tex]\sqrt{2}[/tex]


Related Questions

solve for x 4(x-167)=48

Answers

Answer:

x=179

Step-by-step explanation:

Answer:

x = 179

Step-by-step explanation:

4(x - 167) = 48

4x - 4(167) = 48

4x = 4(167) + 48

x = 668 + 48

          4

x = 179

is this a slope of 8/4

Answers

Answer:

Yes

Step-by-step explanation:

Determine which slope is the steepest. Explain why it is the steepest.
A)Slope=5/3

B)Slope=-3/2

C)Slope=0

Answers

Answer:

A is the steepest because

A = 1.66666666667

B=-1.5

C= just 0

Step-by-step explanation:

π=what

plz all the numbers of pie

the winner gets 100 coins and brainless

Answers

3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679

Two-thirds of a number plus 5 is greater than 12. find the numbers

Answers

Answer:

21

Step-by-step explanation:

Please make me brainliest and friend request me!

In parallelogram LMNO, MP = 21 m, LP = (y + 3) m, NP = (3y – 1) m, and
OP = (2x – 1) m.

Parallelogram L M N O is shown. Diagonals are drawn from point M to point O and from point L to point N and intersect at point P.

What are the values of x and y?

x = 10 m, y = 1 m
x = 10 m, y = 2 m
x = 11 m, y = 1 m
x = 11 m, y = 2 m

Answers

Answer:

x = 11 m, y = 2 m ⇒ D

Step-by-step explanation:

In the parallelogram, diagonals bisect each other

∵ LMNO is a parallelogram

∵ OM and LN are its diagonals

∵ OM ∩ LN at point P

→ By using the fact above

∴ P is the mid-point of OM and LN

OP = MP and LP = NP

∵ OP = MP

∵ OP = 2x - 1

∵ MP = 21

2x - 1 = 21

→ Add 1 to both sides

∴ 2x = 22

→ Divide both sides by 2

x = 11 m

∵ LP = NP

∵ LP = y + 3

∵ NP = 3y - 1

y + 3 = 3y -1

→ Add 1 to both sides

∴ y + 4 = 3y

→ Subtract y from both sides

∴ 4 = 2y

→ Divide both sides by 2

∴ 2 = y

y = 2 m

Answer:

The answer is D

Step-by-step explanation:

I got it right on Edge

Please help!!
What is the solution to 2x^2+x+2=0?

Answers

Answer:

your 3rd option

Step-by-step explanation:

[tex]\frac{-1+/-\sqrt{1-4(2)(2} )}{2(2)}[/tex]

[tex]{\frac{-1+/-\sqrt{1-16} }{4}}[/tex]

[tex]{\frac{-1+/-\sqrt{-15} }{4}}[/tex]

[tex]{\frac{-1+/-i\sqrt{15} }{4}}[/tex]

(offering alot of points) Solve: (x⁴ + 3x³ – 2x² + 5) + (2x⁴ – 5x³ + 4x – 15).

Answers

Answer:

3x^4 -2x^3 -2x^2 +4x -10

Step-by-step explanation:

Add them term by term

Ralph ran 15 miles in 5 days. If he continues to run at this rate, how far would he be expected to run in 8 days?

Answers

15/5 = 3 miles per day
3 * 8 = 24 miles

64 - (16/3)= 208/3

I need help understanding HOW the answer to this is 208/3. Please give an explanation ASAP!!

Answers

To make it easier divide 208/3, which is 69.3. Importantly, divide -16 by 3 which is 5.3. Now solve 64- (-5.3), which equals 69.3

Answer:

64 - (-16/3) = 208/3

Step-by-step explanation:

I think the problem may be written incorrectly. For this to be correct, it must be 64- (-16/3) = 208/3.

To get 203/3 you have to find a common denominator because in order to subtract (or add) fractions, they must have the same denominator.

However, 64 does not have the same denominator as -16/3!!

We can write 64 as 64/1, and to give it the same denominator as -16/3, we need to multiply the denominator by 3

BUT we have to do the same thing to the numerator!!! We can't only change the denominator. If one changes, the other has to change too.

So lets multiply the numerator and denominator by 3. 64 x 3 = 192

1 x 3 = 3

Now we have 192/3

Subtracting a negative number is the same as adding. So instead we can write 192/3 + 16/3

Add 192 and 16 to get 208, so now you have 208/3

find mFE arc measure

Answers

Question 5

FD = 63 • 2 or 126°. The reason for this is the fact that 63° is an inscribed angle.

DE is a straight line. A straight line measures 180°.

The measure of a circle is 360°.

FE = 360° - 180° - 126°

FE = 54°.

Remember: FE is a minor arc.

Understand?

Done!

Which graph shows a function and its inverse?

Answers

A graph depicts the inverse function with the help of a vertical line test. The lines passes through the origin and have a slope. The line y = x is a reflection of the original path.

Example: f(x) = 2x + 5 = y. Then, g(y) = (y-5)/2 = x is the inverse of f(x). Reflecting over the y and x gives us the function of the inverse.

Hence the option A is correct.

Learn more about the graph showing a function and its inverse.

brainly.com/question/19227104.

Help me please...


...

Answers

It’s going to be A. She was supposed to use distributive property

Answer:

The mistake is in the 1st to 2nd step

They did not distribute 4(7-13).

If they distributed properly, it would be 28-52 instead of 28-13.

Step-by-step explanation:

Can anyone do it I did it, but I'm just checking:)

Answers

Answer: Um, maybe I agree with Mia actually?

Step-by-step explanation:

Steven wants to buy a $500 bicycle. Steven has no money saved, but will be able to deposit $45 into a savings account when he receives his paycheck each Friday. However, before Steven can buy the bike, he must give his sister $85 that he owes her. For how many weeks will Steven need to deposit money into his savings account before he can pay back his sister and buy the bike? A.15 weeks B.11 weeks C.17 weeks D.13 weeks

Answers

Answer:

d! (hope this helps <33) also pls answer my question up !!

Step-by-step explanation:

Five is the quotient of 120 divided by some number. What is the number? 20 24 115 125

Answers

Your answer is 24! If you work backwards and divide 120 by 5, you get 24. To check your work, multiply 24 by 5 to get 120. Hope this helps! Please mark brainliest and have an amazing rest of your day. Stay safe! xx

The number 24 divides 120 gives the Quotient 5.

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Quotient = 5

Dividend = 120

Divisor = x

So, Dividend = Divisor . Quotient

120 = x(5)

5x = 120

x= 120/5

x= 24.

Thus, the required number is 24.

Learn more about Algebra here:

https://brainly.com/question/24875240

#SPJ2

I am having trouble figuring out this question, repost again...
A mountain climber ascends a mountain to its peak. The peak is 12,740 ft bone sea level. The climber then descends 200 ft to meet a fellow climber. Find the climber’s elevation above sea level after meeting the other climber.

Thank you I appreciate it

Answers

12,740 - 200= 12,540 Ft above sea level
The climbers elevation is 12540

You are redecorating your room and you only have one wall left to paint. The length of the wall is 13.25 feet and the width of the wall is 9 ft. If the hardware store needs to know the area of the wall to determine how much paint you still need, what is the area that you will report to them?​

Answers

Step-by-step explanation:

thx for da points v buzzed from dhrbd good

Write a mathematical sentence that expresses the information given below. Use g as your variable name. If necessary:type = to mean .The number of gallons of gas that were in the tank minus 9 leaves 3 gallons.

Answers

Answer:

x=12

Step-by-step explanation:

x-9=3  

basically 3 + 9=12 so 12-9=3

The mathematical sentence expresses the information.

g - 9 = 3

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

The number of gallons of gas that were in the tank minus 9 leaves 3 gallons.

The mathematical sentence expresses the information.

g - 9 = 3

Thus,

The expression is g - 9 = 3.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ7

what coefficient would you get for the x terms on the right side of 3x+15=2x+10+x+5

Answers

Answer:

x=0

Step-by-step explanation:

Answer:

Any real number.

Step-by-step explanation:

3x + 15 = 2x + 10 + x + 5

First, add like terms.

3x + 15 = 3x + 15

Subtract 15 on both sides.

3x = 3x

Divide 3 on both sides.

x = x

Since x equals x, you can give any value (any real number) to x.

Since 3x = 3x, you can say x = 1, meaning 3 = 3.

Or, you can say x = 8. 3x = 3x will be 24 = 24.

x can be any number.

2.25 divided by 32.50

Answers

Answer:

0.6923076923 or 0.692

A compound event may consist of dependent or independent events.
O A. True
O B. False

Answers

The answer is: True
———————————

If ABC is congruent to DBE find x

Answers

Answer:

x=44 degrees

Step-by-step explanation:

5y-4 has to equal 81 in order for the two triangles to be congruent.

The sum of the interior angles of a triangle is always 180 degrees.

81+51=132 degrees

180-132=48

x+4=48

x=48-4

x=44 degrees

Answer

X=44 degrees

Explanation:I just did that in one of my questions in my work and I got it correct.

IGOOD LUCK AND HOPE U GET IT CORRECT ALSO :)

Find the area of a rectangle with a length of 5 feet and a width of 4 5/9 feet. Write the answer as a fraction and as a decimal. Use three consecutive points to show repeating decimals, if necessary

Answers

Answer:

22.7.....feet^2

Step-by-step explanation:

Step one:

given data

we are told that the length is 5 feet

and also the width is given in fractional form as  4 5/9

let's convert to decimal 4+0.55= 4.555555555555555

the width is a repeating decimal hence width = 4.5...feet

Step two:

The expression for the area is

A= lenght * width

A= 5*4.5

A=22.7...feet ^2

The area of the rectangle is 22.7 feet^2

A line is drawn through (–7, 11) and (8, –9). The equation y – 11 = y minus 11 equals StartFraction negative 4 Over 3 EndFraction left-parenthesis x plus 7 right-parenthesis.(x + 7) is written to represent the line. Which equations also represent the line? Check all that apply.

Answers

Answer:

A and D

Step-by-step explanation:

I took the assignment

Answer:

a, d

Step-by-step explanation:

Find the coordinates of the image after a reflection across the line y = x.

Answers

Answer:

(2 1) for L (4 3) for G  (4 -1)

Step-by-step explanation:

What is 20% of $5?
do math

Answers

Answer: 1

Step-by-step explanation:

2. Write a function of the geometric sequence with a starting term of 10 and a common ratio of 4. Find the fourth term.

f(n) = 10 · 44-1, the fourth term is 640
f(n) = 2 . 10^-1, the fourth term is 1, 024
f(n) = 4.10^-1, the fourth term is 64 DI
f(n) = – 10. – 4n-1, the fourth is -128 ​

Answers

Answer:last one pretty sure

Step-by-step explanation: sure

The following box plot shows the number of years during which 40 schools have participated in an interschool swimming meet:

see attached image below ♥

At least how many schools have participated for more than 1 year and less than 6 years?

4 schools
8 schools
10 schools
20 schools

Answers

Answer:

I possibly think it is either 8 or 10 but I am sorry if I am wrong.

An ant brain has approximately 300,000 brain cells. If an army ant colony consists of 75,000 members, how many brain cells do they share all together?

Answers

Answer:

22500000000

Step-by-step explanation:

75,000 times 300,000 equals 22500000000

Other Questions
No explanation required 1. What does the broken line show which of the following statements about blood is false?a. individuals with type AB blood can only receive a transfusion of type AB bloodb. red blood cells circulates for about 120 daysC. when red blood cells are destroyed the iron component of hemoglobin is preserved for reuse Please help me with this Frankies Fun Park sells tokens that customers use to play games while waiting for their orders. Which option is the best deal? Which statement will remove 5:'softball' from the dictionary?sports = {2:'football', 3:'soccer', 4:'volleyball', 5:'softball'}sports.remove()sports.pop()sports.pop(5)sports.remove('softball') Which of the following substances react within muscle cells to provide energy for contraction ? a glucose and lactic acid c. oxygen and glucose b. oxygen and calcium d. calcium and phosphorus Review the results of the following experiment, which hypothesis most likely explains the results at 60C and 70C? After the Revolutionary War, procedures were established to govern the lands west of the original 13 states and to guarantee basic rights to settlers living there under the provisions of the A.Magna CartaB.Three-Fifths CompromiseC.Northwest OrdinanceD.Federalist Papers your spinal cord runs from your brain to the ____ vertebrae. 1. Simplify:4(4y-7y^{2})-9(5y+2)2. Simplify:24 4(5y 6z) + 3y 7z PLS HELP ITS DUE IN 5 MINS DIDNOWNZDWOAO WILL MKE AS BRAINLIEST IF C ORRECT Sam invested $2700 in an account with annually compounded interest. After 7 years, he had $3432 in the account. What was the interest rate of the account? Round your answer to one decimal place. Suppose that a phone that originally sold for $800 and loses 3/5 of its value each year after it is released. 1. After 1 year, what is the value of the phone?2. After 2 years, what is the value of the phone?3. Write an equation for the value of the phone, p, t years after it is released. Rappaport Industries has 6,250 perpetual bonds outstanding with a face value of $1,400 each. The bonds have a coupon rate of 6.6 percent and a yield to maturity of 6.9 percent. The tax rate is 40 percent. What is the present value of the interest tax shield? Who owned the property of the Iroquois clan?Mother, father, child, or chief Identify a theme addressed in the story and explain how it is supported and developed throughout the story. Please make sure to answer the question fully and use textual evidence to support your thinking (at least 5-7 sentences per question). The story is Woman Hollering Creek by Sandra Cisneros. McDonald's offers 2 free bottles of water or juices for ever 20 purchases . whataburger offers 3 free bottled waters or juices for ever 25 purchases what is wataburger's ratio of free drinks to purchased drinks? simplify if possible Is 3/4 is a constant or variable or both . ?: , 1. 2. -3. -4. 5. 6. 7.