Simplify the equation, [tex](x^{4})^{\frac{5}{6} }[/tex], to a simplified radical. Show work

Answers

Answer 1

The simplified radical form of the equation [tex](x^{4})^{\frac{5}{6} }[/tex] is [tex]x^{\frac{10}{3} }[/tex]

The exponentiation is written as [tex]a^{n}[/tex], where a is the base and n is the exponent or power. We say as "a by n". Exponent means the number of times the base is used as a factor.

The expression = [tex](x^{4})^{\frac{5}{6} }[/tex]

Here we have to apply the exponent rule

We know,

The power rules for the exponent [tex](a^{m})^{n}=a^{mn}[/tex]

Here multiply the exponent times the power.

Simplify it

[tex](x^{4})^{\frac{5}{6} }=(x)^{4(\frac{5}{6}) }[/tex]

=[tex]x^{\frac{20}{6} }[/tex]

Divide both 20 and 6 by 2 to make it to simplest form, then the result

=[tex]x^{\frac{10}{3} }[/tex]

Hence, the simplified radical form of the equation [tex](x^{4})^{\frac{5}{6} }[/tex] is [tex]x^{\frac{10}{3} }[/tex]

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Related Questions

Which measurement is closest to 270 ​cm: ​9ft, 680in. or 270 in.?

Answers

The measurement 9 feet is closest to 270 centimeters.

What measure is equivalent to another measure?

In this problem we have a case of unit conversions, in which we must find what measure in a unit offers the best approximation to other represented in other unit. Please notice that a centimeter equals 25 / 762 feet and 50 / 127 inches. Now we proceed to calculate the equivalent quantities in feet and inches by simple rule of three:

x = 270 cm × (25 / 762 feet / cm)

x ≈ 8.858 feet

x = 270 cm × (50 / 127 inches / cm)

x ≈ 106.299 inches

The measurement 9 feet is closest to 270 centimeters.

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3. Write the number: three hundred
seven thousand, fifty-nine and six
tenths
S

Answers

307, 059.6 is how you would write that assuming that the fifty nine and six tenths wasn’t a strange way to write 596

Solve −3 = x/4 + 5 using the replacement set {−32, 8, 32} .

A. −32

B. 8

C. 32

D. I don't know.

Answers

The answer is C:-32

Answer:

A

Step-by-step explanation:

substitute the values from the replacement set into the right side of the equation to find which values of x make the equation true.

x = - 32

[tex]\frac{-32}{4}[/tex] + 5 = - 8 + 5 = - 3 ← True

x = 8

[tex]\frac{8}{4}[/tex] + 5 = 1 + 5 = 6 ≠ - 3 ← False

x = 32

[tex]\frac{32}{4}[/tex] + 5 = 8 + 5 = 13 ≠ - 3 ← False

the solution is therefore x = - 32

if angle 2=6x+8 and angle 4=4x+11 what is the value of angle 2?

Answers

Answer:

17

Step-by-step explanation:

Angle 2 and angle 4 are alternate exterior angles so they congruent angles which means they have same angle measurement.

To find the measure of angle 2 we first need to find the value of x.

And to do that we can write the following equation based on the information we have in hand:

6x + 8 = 4x + 11 transfer like terms to the same side of the equation

6x - 4x = 11 - 8 add/subtract like terms

2x = 3 divide both sides by 2

x = 1.5 now to find the measure of angle 2 replace x with 1.5

6×(1.5)+8 = 17

V = 4 + at, solve for a.​

Answers

Answer: a=(V-4)/t

Step-by-step explanation:

V = 4 + at

V-4=at

a=(V-4)/t

Question 5
A swimming pool has a length of 30 ft, a width of 12 ft, and a uniform depth of 8 ft. How many gallons of water does it hold?
(Hint: Find the volume in cubic ft and then use dimensional analysis to convert to gallons. 7.5 gal - 1 cubic ft.)
Round your answer to the nearest whole gallon, but do not include a unit of measure with your response.

Answers

If I’m wrong please tell but from my calculations it might be
1,718 gallons
Because 12-Feet by 30-Inches and able to hold up to 1,718 gallons of water!

Write a function g whose graph represents the indicated transformation of the graph of f.

f(x) = 3x ; translation 5 units up

the translated function is g(x) =

Answers

Answer:

  g(x) = 3x +5

Step-by-step explanation:

You want the function that results from translating f(x) = 3x upward by 5 units.

Translation

The y-coordinate of a point tells how far above the x-axis it is. Adding 5 to the y-coordinate will move that point 5 units farther above the x-axis, which is to say 5 units upward.

The y-coordinate of a point on a graph is the value of the function of the x-coordinate of that point. That is, each point is (x, f(x)). If we want to translate that point 5 units upward, we add 5 to the function value:

  (x, f(x) +5) . . . . . graph translated 5 units up

Using the given definition of f(x), this becomes ...

  (x, 3x +5)

The translated function is defined as g(x), so we have ...

  (x, g(x)) = (x, 3x +5)

or ...

  g(x) = 3x +5

Homework 4.3 Partial Derivatives

Answers

If Partial Derivatives f(x,y) -8e^4x sin(7y) is 32 e^(4 x) sin(7 y) and

56 e^(4 x) cos(7 y)

Partial Derivatives

d/dx(8 e^(4 x) sin(7 y))

Factor out constants:

= 8 (d/dx(e^(4 x))) sin(7 y)

Using the chain rule, d/dx(e^(4 x)) = (d e^u)/(du) (du)/(dx), where u = 4 x and d/(du) (e^u) = e^u:

= e^(4 x) (d/dx(4 x)) 8 sin(7 y)

Factor out constants:

= 4 (d/dx(x)) 8 e^(4 x) sin(7 y)

Simplify the expression:

= 32 e^(4 x) (d/dx(x)) sin(7 y)

The derivative of x is 1:

= 32 e^(4 x) sin(7 y)

Simplify the expression:

32 e^(4 x) sin(7 y)

Part 2:

Partial Derivatives

d/dy(8 e^(4 x) sin(7 y))

Factor out constants:

= 8 e^(4 x) (d/dy(sin(7 y)))

Using the chain rule, d/dy(sin(7 y)) = (dsin(u))/(du). (du)/(dy), where u = 7 y and d/(du) (sin(u)) = cos(u):

= cos(7 y) (d/dy(7 y)) 8 e^(4 x)

Factor out constants:

= 7 (d/dy(y)) 8 e^(4 x) cos(7 y)

Simplify the expression:

= 56 e^(4 x) cos(7 y) (d/dy(y))

The derivative of y is 1:

=  56 e^(4 x) cos(7 y)

Simplify the expression:

56 e^(4 x) cos(7 y)

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12. Ben and Jerry invest $50 000 and $75 000 respectively in the same bank.
If the rate is 8%, how many whole years will it take for Ben to cross the amount of money that Jerry would have in 2 years?

Answers

Jerry: $75000 x 1.08 = $81000 x 1.08 = $87480 after 2 years

Ben: $50000 x 1.08 = $54000 x 1.08 = $58320 x 1.08 = $62.985.6 x 1.08 = $68024.45 x 1.08 = $73466.40 x 1.08 = $79343.72 x 1.08 = $85691.21 x 1.08 = $92546.51 after 8 years.

It would take 7 whole years to cross the amount that Jerry would have in 2 years.

4. Randall's monthly water bill from April to July is listed in the table below. What was the percent
increase in his bill from May to July?

Answers

The percent increase in his bill from May to July is 32.29%.

What is the percent increase in the bill?

Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred. Percentages are a measure of frequency. The sign used to represent percentages is %.

The percent increase in his bill from May to July = (bill in July / bill in May)^(1/number of months) - 1

(136.50 / 78)^(1/2) - 1 = 32.29%

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Draw AABC with vertices at A(1,6), B(1, 1) and C(5, 1). In this triangle, AB²+ BC² = AC².
Next, use the GeoGebra tools to draw ADEF such that AB = DE, m/E = 90°, and
EF = BC.
Paste a picture of your drawing in the answer box.

Answers

The picture of the triangle ΔDEF is attached below.

A triangle can be defined as a basic polygon which has 3 sides.

The sum of all the interior angles of a triangle is given by 180°.The area of any triangle is calculated by [tex]\frac{1}{2}[/tex] × base × height.In a right-angled triangle the side opposite the largest angle which is 90° is called the hypotenuse.Pythagoras' theorem states that the sum of the squares of the legs of aright-angles triangle is equal to the square of the hypotenuse of the triangle.

In the given ΔABC we see that AC is the hypotenuse and the two sides AB and AC are the legs of the triangle.

m∠B=90°

The ΔDEF is drawn such that m∠E=90° and AB=DE and EF=BC .

Therefore we can say that the two triangles are congruent by SAS axiom of congruency.

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Explain how to do -12 - (-98) + 7 - 3

Answers

Answer: 90

Step by step explanation:
Since we know a negative minus a negative equals a positive then
-12 - -98 = 86
Then 86 + 7 = 93
And finally 93 - 3 = 90

Hope this helps mate
the answer should be 90!!

Write a polynomial equation with integer coefficients that has the given roots.
x = -1 x=-6

Answers

Polynomial equation with integer coefficients that has roots x= -1 and

x = -6 is equal to x² +7x +6=0.

As given in the question,

Given roots for the polynomial equation with integer coefficient are

x = -1 ⇒ x + 1=0

x = -6 ⇒ x + 6 =0

Polynomial equation is

( x + 1) ( x + 6) =0

⇒ x² + 1x + 6x + 6 =0

⇒ x² + 7x + 6 =0

Therefore, polynomial equation with integer coefficients that has roots x= -1 and x = -6 is equal to x² +7x +6=0.

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convert into power notation (-2197)​

Answers

-2197^1 !!!!!!!!!!!!!!!!

A survey of 541 adults aged 18-24 year olds was conducted in which they
were asked what they did last Friday night. It found:
181 watched TV
• 180 hung out with friends
• 150 ate pizza
• 46 watched TV and ate pizza, but did not hang out with friends
• 36 watched TV and hung out with friends, but did not eat pizza
• 29 hung out with friends and ate pizza, but did not watch TV
• 25 watched TV, hung out with friends, and ate pizza
How may 18-24 year olds did not do any of these three activities last Friday

Answers

Answer: 30

Step-by-step explanation:

181+180+150=

361+150=511

541-511=30 18-24 year olds

**46 of 181 students that watched TV ate pizza and the same 46 students of  the 150 students that ate pizza watched TV.

Can you please help with this

Answers

The fraction 24/56 can be simplified to 3/7, and we can't keep simplifying this.

How to simplify the given fraction?

Here we want to simplify the fraction 24/56. To do so, we need to find the greatest common factor between 24 and 56, to find that, we need to write both of these numbers as a product of their prime factors.

We will get:

24 = 2*2*2*3

56 = 2*2*2*7

We can identify the greatest common factor between parenthesis:

24 = (2*2*2)*3

56 = (2*2*2)*7

So the greatest common factor is 2*2*2 = 8, then we can divide both numerator and denominator by 8, we will get:

24/8 = 3

56/8 = 7

Then the fraction 24/56 can be simplified to 3/7, and we can't keep simplifying this.

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Does anyone know where the a in front of the parentheses for the LCD : a(a+5)(a-6) came from?

Thank you!

Answers

Answer:

See below

Step-by-step explanation:

If you factor [tex]a^2-a-30[/tex] you get [tex]\left(a^2+5a\right)+\left(-6a-30\right)[/tex]

= [tex]a(a+5)-6(a+5)[/tex]

= [tex]a(a+5)(a-6)[/tex]

That's where the a comes in

Not sure if that answers your question

The sum of
5
9
and six times a number is equal to
2
subtracted from seven times the number. Find the number.

Answers

ANSWER:

x=61

STEPS FOR SOLVING LINEAR EQUATION :

59+6x=7x−2

Subtract 7x from both sides.

59+6x−7x=−2

Combine 6x and −7x to get −x.

59−x=−2

Subtract 59 from both sides.

−x=−2−59

Subtract 59 from −2 to get −61.

−x=−61

Multiply both sides by −1.

x=61

Hope it helps!!!

;}

Answer:

answer to the question is x=61

PLEASE HELP!
The data show what an apartment resident paid per month for her electric bill during a calendar year.

$56, $72, $120, $120, $122, $124, $128, $135, $152, $168, $183, $200

Use the data to answer the questions.

What is 1.5 ∙ IQR?
A: 40
B: 60
C: 80
What is the lower boundary?
A: 60
B: 66
C: 120
What is the upper boundary?
A: 160
B: 220
C: 251.5
Which sentence describes the outliers?
A: There are no outliers.
B: The outlier is less than the lower boundary.
C: The outlier is greater than the upper boundary.

Answers

Using the median concept and the quartiles, we have that:

1.5 IQR is: B. 60.The lower boundary is: A. 60.The upper boundary is: B. 220.The sentence that describes the outliers is: B: The outlier is less than the lower boundary.

What are the median and the quartiles of a data-set?

The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.The first quartile is the median of the first half of the data-set.The third quartile is the median of the second half of the data-set.The interquartile range is the difference between the third quartile and the first quartile.Values that are more than 1.5 IQR from either quartile are considered outliers.

In this problem, there are 12 elements, hence:

Q1 is the 0.25 x 12 = 3rd element.Q3 is the 0.75 x 12 = 9th element.

Thus, Q1 = 120, Q3 = 160 and the IQR is:

IQR = 160 - 120 = 40.

1.5 IQR is: 1.5 x 40 = 60.

The boundaries are:

120 - 60 = 60. (lower).160 + 60 = 220(upper).

There is a value less than 60 in the data set, hence the sentence that describes the outliers is: B: The outlier is less than the lower boundary.

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Answer:

Use the data to answer the questions.

What is 1.5 ∙ IQR? ✔ 60

What is the lower boundary? ✔ 60

What is the upper boundary? ✔ 220

Which sentence describes the outliers? ✔ The outlier is less than the lower boundary.

Step-by-step explanation:

edge 2023


After a person gets a 2% raise in salary, the new salary is $11874. What was the original salary?

Answers

Answer:

Original salary was $11641.17

Step-by-step explanation:

Let the initial salary be x.

Set equation and solve for x:

x + 2% of x = 11874x + x*2/100 = 11874x + 0.02x = 118741.02x = 11874x = 11874/1.02x = 11641.17 (rounded to the nearest cent)

Answer:

The original salary is $11641.18.

Step-by-step explanation:

The equation will be,

→ x + (x × 2)/100 = 11874

Now the original salary will be,

→ x + (x × 2)/100 = 11874

→ x + 0.02x = 11874

→ 1.02x = 11874

→ x = 11874/1.02

→ x = 11641.1764706

→ [ x = 11641.18 ]

Hence, original salary is $11641.18.

84x7 complete the equation

Answers

Answer:

The answer to your question is 588

Answer:

588

Hope this helps

Lucy paid $120 for an item at the store that was 20 percent off the original price. what was the original price?

Answers

Answer:

$150

Step-by-step explanation:

Given the following question:

Lucy paid 120 dollars for an item
The item was 20% off

What was the original price? To find the original price we will need to use the formula to calculate percentages.

20% of 150
[tex]\frac{p\times n}{100}[/tex]
[tex]\frac{20\times150}{100}[/tex]
[tex]20\times150=3000[/tex]
[tex]3000\div100=30[/tex]
[tex]150-30=120[/tex]
[tex]=120[/tex]

Which means our original price is "$150."

Hope this helps.

if you add all the prime numbers between 2 and 33 and then multiply it by itself y

Answers

Answer:

24964

Step-by-step explanation:

hope this works - btw this is not including 2 and 33

What is the slope of a line that passes through the ordered pairs (0,1) and (3,5)?

Answers

The slope of a line that passes through the ordered pairs (0,1) and (3,5) would be m = 4/3.

What is the slope of a line which passes through points ( p,q) and (x,y)?

Slope tells how vertical a line is.

The more the slope is, the more the line is vertical. When slope is zero, the line is horizontal. Slope of parallel lines are same. Slopes of perpendicular lines are negative reciprocal of each other.

Its slope would be:

[tex]m = \dfrac{y-q}{x-p}[/tex]

WE have been given line that passes through the ordered pairs (0,1) and (3,5).

Slope = m

Therefore,

[tex]m = \dfrac{y-q}{x-p}\\\\m = \dfrac{5 -1}{3-0}\\\\m = \dfrac{4}{3}[/tex]

Hence, the slope of a line that passes through the ordered pairs (0,1) and (3,5) would be [tex]m = \dfrac{4}{3}[/tex].

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help i need help i this please

Answers

Answer:

-∞ and -∞ both answers

Step-by-step explanation:

From the graph it is clear that as x becomes smaller and smaller, y gets smaller and smaller. So as x → -∞, y → -∞

On the positive x side, as x gets bigger and bigger, y gets smaller and smaller so
as x → +∞, y → -∞

a map has a scale of 1:1000.
i)
What distance on the ground (in meters) is represented on the map as
(a) 2cm (b) 7.6cm?
ii)
What distance on the map represents
(a) 100m (b) 2.6km?

Answers

(a) The distance on the ground represented 2 cm on the map  is 2000 cm.

(b) The distance on the ground represented 7.6 cm on the map  is 7600 cm

It is a technique wherever we discover worth|the worth} of one unit from the worth of multiple units and also the value of multiple units from the worth of one unit

It is given that a map has a scale of 1:1000 which means that 1 cm of the map represents 1000 cm on the ground .

i) (a) Using unitary method , we get

1 cm on map is equivalent to = 1000 cm on the ground

 2 cm on map is equivalent to  = 2 × 1000

                                                      = 2000 cm on the ground

(b) Using unitary method , we get

1 cm on map is equivalent to = 1000 cm on the ground

 7.6 cm on map is equivalent to  = 7.6 × 1000

                                                      = 7600 cm on the ground

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add 1/2 + 1/4 + 1 1/4 ​

Answers

Answer:

Final answer is 2

Step-by-step explanation:

1/2 = 0.5
1/4 = 0.25
1 1/4 = 1.25

1.25 + 0.25 = 1.5 + 0.5 = 2

Amy paid $66.94 for a pair of running shoes during a 15%-off sale. What was the regular price?
...

Answers

$66.94 = 85%
$66.94/85 = $0.78752941 x 100 = $78.75

At a certain company, the average starting salary s for a new worker is $25,000. The actual salary has an absolute deviation of at most $1800. Write and solve an inequality to find the range of the starting salaries.

Answers

The range of the salary will be the closed interval [23,200, 26,800].

What is an absolute function?

The absolute function is also known as the mode function. The value of the absolute function is always positive.

The absolute function is given as

f(x) = | x |

A new hire at one organization may expect to get an average beginning pay of $25,000 per year. The absolute divergence from the real compensation is no more than $1800.

Let 'x' represent the actual salary. Then the inequality is given as,

|x - 25,000| ≤ 1800

- 1,800 ≤ x - 25,000 ≤ 1,800

25,000 - 1,800 ≤ x ≤ 25,000 + 1,800

23,200 ≤ x ≤ 26,800

The range of the salary will be the closed interval [23,200, 26,800].

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Write the coordinates of the vertices after a rotation 90° counterclockwise around the origin.
E (-8,9)
F(-4,9)
G(-4,2)
D(2,-8)

Answers

The coordinates of the vertices E (-8,9), F(-4,9), G(-4,2), and D(2,-8) when rotated 90° counterclockwise around the origin of the new coordinates will be E'( - 9, - 8 ), F'( - 9, - 4 ), G'( - 2, - 4 ), and D'( 8, 2 ).

A point A( x, y ) becomes A' when a point is rotated 90 degrees counterclockwise about the origin ( - y, x ). To put it another way, flip x and y, and make y negative.

Therefore, when point E( - 8, 9 ) is rotated 90° counterclockwise around the origin will be:

E'( - 9, - 8 )

When point F( - 4, 9 ) is rotated 90° counterclockwise around the origin the new point will be:

F'( - 9, - 4 )

When point G( - 4, 2 ) is rotated 90° counterclockwise around the origin the new point will be:

G'( - 2, - 4 )

When point D( 2, - 8 ) is rotated 90° counterclockwise around the origin the new point will be:

D'( 8, 2 )

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