Simplify the expression to a single power of x. Open parentheses x to the power of begin display style bevelled 1 half end style end exponent over x to the power of begin display style bevelled 1 fifth end style end exponent close parentheses to the power of bevelled 1 fourth end exponent

Answers

Answer 1

The simplified form of the given expression is x raise to the power of one-thirty.

Simplifying indices expressions

Given the indices expression (x^1/2/(x^1/3)^1/5

Using the indices law below:

a^m/a^n = a^m-n

(a^m)^n

Applying the law above to the given equation

(x^1/2/(x^1/3)^1/5 = (x^1/2-1/3)^1/5

(x^1/2/(x^1/3)^1/5 = (x^1/6)^1/5

(x^1/2/(x^1/3)^1/5 = x^1/30

Hence the simplified form of the given expression is x raise to the power of one-thirty.

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Related Questions

Suppose a car has 4 gallons in its tank and the tank holds 14.5 gallons. How long does it take to fill the tank?

Answers

Answer: 1.75 minutes

Step-by-step explanation:

6 gallons per minute.

14.5-4=10.5

10.5/6=1.75 minutes

Do number 14 please thank you

Answers

Answer:

(M U C) ∩ V = {3, 5}

Subsets: { }, {3}, {5}, {3, 5}

Step-by-step explanation:

M = {2, 3, 4, 5}

C = {4, 6, 8, 10}

V = {3, 5, 7, 9}

(M U C) ∩ V =

= ( {2, 3, 4, 5} U {4, 6, 8, 10} ) ∩ {3, 5, 7, 9}

= {2, 3, 4, 5, 6, 8, 10} ∩ {3, 5, 7, 9}

= {3, 5}

Subsets: { }, {3}, {5}, {3, 5}

a recipe for crispy rice treats results in a mixture that fills a 9-inch by 13-inch pan to a depth of one inch. if a crispy rice treats mixture resulting from 1.5 times the original recipe is poured into a pan that is 10 inches by 15 inches, to what depth will the pan be filled? express your answer as a decimal to the nearest hundredth.

Answers

Answer: 117in^3

Step-by-step explanation:

8x-4y=7 3x+6y=12 what is the value of x

Answers

Answer: x=1

Step-by-step explanation:

2(8x-4y=7)

  3x+6y=12

16x-6y=7

3x+6y=12

19x/19 = 19/19

x=1

Step-by-step explanation:

8x-4y=7 3x+6y=12

8x-3x=7 4y+6y=12

5x=7 10y=12.

the sum of three numbers is 111. the first number is less than the third. the second number is times the third. what are the numbers?

Answers

The first, second, and third numbers are 11, 80, and 20 respectively.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Let's say the first number is a second is b and the third one is c

Now,

The sum of the three numbers is 111

So,

a + b + c = 111

The first number is 9 less than the third

So.

a = c - 9

And the second number is 4 times third

So,

b = 4c

By substitution,

c - 9 + 4c + c = 111

c = 20

b = 4(20) = 80

a = 20 - 9 = 11

Hence "The first, second, and third numbers are 11, 80, and 20 respectively".

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The given question are incomplete , complete question is ;

The sum of the three numbers is 111. the first number is 9 less than the third. the second number is 4 times the third. what are the numbers?

someone please help me with these 2 :(

Answers

Answer:

1.  x^-3

2. b^7

Step-by-step explanation:

I am pretty sure those are the answers. I'm not 100%

Graph the line that represents the equation y= - 2/3 x + 1
I will give out brainlist
help [please]

Answers

Answer:

Step-by-step explanation:

Hi

I cant find my answer please help!

Answers

Step-by-step explanation:

once we know what the domain and the range of a function is, this is very simple.

the domain is the interval or set of all valid x (input) values.

the game is the interval or set of all valid y (function result) values.

so, what are all the valid x values ? that means for how many months of collection can we use this function to see how many figurines he has ?

well, we can stay with 0 (what he currently has) and go up to 5 (because after 5 months he does not want to continue this behavior).

so, the domain is

0 <= x <= 5 if we allow also fractions of months as input (if this makes sense)

or

x € {0, 1, 2, 3, 4, 5} if we allow only whole numbers.

and the range ? what are the possible result values of the function ?

for x = 0 it starts with y (or f(x)) = 100.

x = 1 gives us 100 + 3×1 = 103

x = 2 gives us 100 + 3×2 = 106

x = 3, 100 + 3×3 = 109

x = 4, 100 + 3×4 = 112

x = 5, 100 + 3×5 = 115

so, the range is

100 <= y <= 115 if we allow fractions of months

or

y = f(x) € {100, 103, 106, 109, 112, 115} if we allow only whole months as values of x.

Please answer the questions in the photo [ Brainliest + points ]

Answers

Answer:

8 is 69

9 is 68

t is 99 i think

z is 80 i think

J 69
H 68
T 43
Z 80
I think these are the answers

a. It is linear because it has a constant rate of change.

b. It is linear because it does not have a constant rate of change.

c. It is not linear because it has a constant rate of change.

d. It is not linear because it does not have a constant rate of change.

Answers

c. It is not linear because it has a constant rate of change.

Answer:

D

Step-by-step explanation:

this is showing a quadratic

Solve the following:
32 ÷ 4 + 4 x 8 = ?
A. 42
B. 32
C. 96
D. 40

Answers

Answer:

Step-by-step explanation: 40 see attachment

Continuing with the expression (x+7), do the following.
(a) By using the Distributive Property twice, show
that this expression is equivalent to
x² +14x+49.
35
(b) Test the equivalency by finding the value of
(x+7)² and x² +14x+49 when x = 3.
x² +14x+49
(x+7)²

Answers

(a) Using the distributive property ( x + 7 )² is equal to x² + 14x + 49.

(b) When x = 3, the expressions  ( x + 7 )² and x² + 14x + 49 are equal.

Consider the expression ( x + 7 ),

Now when we square the expression we get,

( x + 7 )²  = ( x + 7 ) ( x + 7 )

Using the distributive property,

( x + 7 )²  = x( x + 7 ) + 7( x + 7 )

Again by using distributive property,

( x + 7 )²  = x² + 7x + 7x + 49

( x + 7 )²  = x² + 14x + 49

(b) For the expressions ( x + 7 )² and x² + 14x + 49,

When x = 3,

( x + 7 )² = ( 3 + 7 )²

( x + 7 )² = 10²

(x + 7 )² = 100

When x = 3,

x² + 14x + 49 = 3² + 14 × 3 + 49

x² + 14x + 49 = 9 + 42 + 49

x² + 14x + 49 = 100

Hence, the expressions (x+7)² and  x² + 14x + 49 are equal when x = 3.

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Lisa and john are bowling. Johns score is three times the difference of Lisa's score and 6. The sum of their scores is 382. Find each students bowling score

Answers

Lisa bowling score is 100.

John bowling score is 282.

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

Lisa and John are bowling.

Johns score is three times the difference of Lisa's score and 6.

The sum of their scores is 382.

Now, Let Lisa bowling score = x

Then, John bowling score = 3 (x - 6)

Since, The sum of their scores is 382.

Hence,

x + 3 ( x - 6 ) = 382

After solving,

x + 3x - 18 = 382

4x = 382 + 18

4x = 400

x = 100

Hence, Lisa bowling score = x = 100

And, John bowling score = 3 (x - 6)

                                       = 3 (100 - 6)

                                       = 3 × 94

                                       = 282

Therefore, Lisa bowling score is 100.

And, John bowling score is 282.

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Consider the sequence 4, 3, 2, 1.... What is f(4)?

Answers

Answer: 1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

it's the fourth number in the sequence

In a survey the ratio of students who prefer muffins to bagels is 4 to 5 if the number of students surveyed who prefer muffins is 420 how many prefer bagels

Answers

In a survey where the ratio of students who prefer muffins to bagels is 4 to 5 and 420 prefer muffins, 525 students prefer bagels.

Ratio is the relationship between two quantities, normally expressed as the quotient of one divided by the other.

It can be expressed in different ways:

1) Use the ":" to separate the values : a : b

2) Use the word "to" : a to b

3) Write it in fraction: a / b

On the other hand, proportion is the equality of two ratios, such that

a : b = c : d

Given a proportion, the product of its means must be equal to the product of its extremes. That is:

ad = bc

If the ratio of students who prefer muffins to bagels is 4 to 5, and 420 students prefer muffins, the proportion can be written as:

4 : 5 = 420 : n

where n = number of students who prefer bagels

Solving for n,

4n = 5(420)

4n = 2100

n = 525

number of students who prefer bagels = 525

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Please help
Find the slope of the line passing through the given points. how do you know?

Answers

The slope of the line passing through the given points is 0.4 or 2/5.

From the table given below, we have (2, 23) and (5, 24.3).

What is the  slope of the line passing through the coordinate points?

Use the slope formula to find the slope of a line given the coordinates of two points on the line. The slope formula is m=(y2-y1)/(x2-x1), or the change in the y-values over the change in the x-values.

Put the points (2, 23) and (5, 24.3) in the slope formula and find the slope.

That is, m=(24.3-23)/(5-2)

=1.3/3

=0.4

=4/10 = 2/5

Put m=2/5 and the coordinate points (2, 23) in y=mx+c.

That is, 23=2/5 (2)+c

⇒23 - 4/5 =c

⇒111/5 = c

⇒ c=22.2

Now, equation is y=0.4m+22.2

Therefore, the slope of the line passing through the given points is 0.4 or 2/5.

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calculate the area of the shaded region in each figure. Use 3.14 for pi and round to the nearest tenth, if necessary.

Answers

The area of the shaded region based on the information will be 201cm².

How to illustrate the area?

It should be noted that the radius of the outer circle will be:

= Diameter / 2

= (8 + 8 + 4 + 4)/2

= 24 / 2

= 12cm

The area of the circle = πr²

= 3.14 × 12²

= 3.14 × 144

= 452.16 cm²

The area of the circle with radius 8cm = 200.96 cm²

The area of the circle with radius 4cm =50.24cm².

The area of the shaded region:

= 452.16 - 200.96 - 50.24

= 200.96 cm²

Therefore, the area of the shaded region based on the information will be 201cm².

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Which of the following numbers is rational?
A. 2√5
B. √25
C. 2pi
D. 25pi

Answers

Answer:

B

Step-by-step explanation:

_/25 can be rooted to 5. 5 is rational.

in a random sample of 7 residents of the state of california, the mean waste recycled per person per day was 1.7 pounds with a standard deviation of 0.36 pounds. determine the 99% confidence interval for the mean waste recycled per person per day for the population of california. assume the population is approximately normal. step 1 of 2 : find the critical value that should be used in constructing the confidence interval. round your answer to three decimal places.

Answers

The critical value that should be used in constructing the confidence interval is ( 1.592, 1.807 ).

Given that;

Number of residents, n = 7

Z*- value of 90% confidence level equals z* = 0.79

Mean x = 1.7 and deviation σ = 0.36

What is the standard deviation?

Standard deviation is calculated as the square root of variance by determining each data point's deviation relative to the mean.

Now,

Number of residents, n = 7

Z*- value of 90% confidence level equals z* = 0.79

Mean x = 1.7 and deviation σ = 0.36

The confidence interval for mean waste recycled per person is

[tex](x-z^{*} \frac{sigma}{\sqrt{n} } ; x+z^{*} \frac{sigma}{\sqrt{n} } )[/tex]

[tex](1.7 - 0.79*\frac{0.36}{\sqrt{7} } ; 1.7 + 0.79*\frac{0.36}{\sqrt{7} })[/tex]

[tex](1.592, 1.807)[/tex]

Hence, the critical value that should be used in constructing the confidence interval is ( 1.592, 1.807 ).

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Two friends entered the amusement park at 10:05 AM. With the wait time it took 35 minutes to ride the FLIP-A-Trip. Then, it took 23 minutes to ride the Slippery Slope. What time was it then? Explain how you found your answer.

Answers

The computation shows that the time will be 11:05 am.

How to compute the value?

The friends entered the amusement park at 10:05 AM, the wait time it took 35 minutes to ride the FLIP-A-Trip and it took 23 minutes to ride the Slippery Slope.

Therefore, the time will be:

= 10.05 + 35 + 25

= 10:05 + 60 minutes

= 10:05 + 1

= 11:05

.It should be noted that 60 minutes= 1 hour. Therefore, you'll add 1 hour to the original time.

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Use graphing technology to approximate the solutions of the equation. x2 + 5x - 12 = | x + 3| + 7

Answers

The solution of the given equations is x=-7 and x=3.

The given equation is x² + 5x - 12 = | x + 3| + 7.

What is the solutions of the equation?

A solution is an assignment of values to the unknown variables that makes the equality in the equation true. In other words, a solution is a value or a collection of values such that, when substituted for the unknowns, the equation becomes an equality.

Now, x² + 5x - 12 = | x + 3| + 7 can be rewritten as

x² + 5x - 12 = x + 3 + 7

⇒x² + 5x - 12 = x+10

⇒x² + 5x - 12 -x - 10=0

⇒x² +4x -22 =0

From the obtained graph, the solution of equations is x=-7 and x=3.

Therefore, the solution of the given equations is x=-7 and x=3.

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share £60 in the ratio 3:1

Answers

If we share $60 in the ratio 3:1, then each person will get is $45 and $15 respectively

Given,

The total amount = $60

The ratio = 3:1

Then the amount given to first person = 3x

The amount given to the second person = x

Given that the total amount is 60

Then  the equation will become

x+3x=60

4x=60

x=[tex]\frac{60}{4}[/tex]

x=15

The amount given to the first person = 3x

Substitute the value of x in the equation

The amount given to the first person =3x

=3×15

= $45

The amount given to the second person =x

= $15

Hence, if we share $60 in the ratio 3:1, then each person will get is $45 and $15 respectively

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HELPPP PLEASE HELP i need helpp asap

Answers

Answer:

2

Step-by-step explanation:

2 ^ 9 is already way more than 82 so yea it has to be 2

Which numbers are irrational?

11, √15, -14, 20.151155111555...

Answers

Answer:

√15, -14, 20.151155111555...

Step-by-step explanation:

it's a square root (not perfect), negative, and never ending decimal

Answer:

It would have to be [tex]\sqrt{15}[/tex].

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Hope this helps!

Have a great day and God bless! :)

the center for disease control and prevention (cdc) states that adults should engage in at least 75 min of vigorous-intensity aerobic activity or 150 min of moderate-intensity aerobic activity weekly. researchers gathered data from a random sample of adults who participated in the 2011–2012 national health and nutrition examination survey (nhanes).

Answers

The relative frequency of adults who are engaging in less than the minimum amount of recommended moderate-intensity physical activity weekly is 92.16%.

What is relative frequency?

The term 'relative' refers to an event that is being thought of in relation to or in proportion to another event.

The frequency of occurrence of an event is measured using frequency. Relative frequency, in contrast hand, is a method of calculating how frequently a specific event occurs in comparison to total occurrences.The amount of times an event happens divided by the total number of occurrences that occur in a specific scenario is defined as relative frequency.

As, per the given question.

The minimum standard for moderate-intensity aerobic activity weekly is 150 min.

All the values which are less than 150 min will be considered as the below specified standard for moderate-intensity aerobic activity.

The relative frequency for 0 - 49 min is 47.54%.

The relative frequency for 50 - 99 min is 32.77%.

The relative frequency for 99 - 149 min is 11.85%.

Thus, the cumulative of all relative frequencies will be;

= 47.54% + 32.77% + 11.85%

= 92.17%

Therefore, the percentage of adults who get less than the recommended amount of moderate-intensity physical activity per week is 92.16%.

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The complete question is -

The center for disease control and prevention (cdc) states that adults should engage in at least 75 min of vigorous-intensity aerobic activity or 150 min of moderate-intensity aerobic activity weekly. researchers gathered data from a random sample of adults who participated in the 2011–2012 national health and nutrition examination survey (nhanes).

What is the relative frequency of adults who are engaging in less than the minimum amount of recommended moderate-intensity physical activity weekly (less than 150 min)? Give your answer to two decimal places.

A,b,c or d I don’t know which one to pick

Answers

Answer:

b

Step-by-step explanation:

 the answer is b because 50 + (11 x 9) = 149

75 + (8 x 9) = 147

Therefore, franks fiesta is less expensive for parties of 9 or more


What is the slope of the following linear equation?

y = 4x - 7


Answers

Answer:

The slope is 4

Step-by-step explanation:

This equation is in slope intercept form

y = mx+b

where m is the slope and b is the y intercept

y = 4x-7

The slope is 4 and the y intercept is -7

what is the answer too
5< k-2<11?

Answers

The k has interval notation(7,13).

Given that 5< k-2<11

Remove all of the teams from the inequality's center that don't contain k.

Inequality, A declaration of an order relationship between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal to.

So, 5+2<k<11+2

7<k<13

Therefore, The interval notation for k is (7,13).

Equations in mathematics are not always balanced on both sides using a 'equal to' symbol. Sometimes it's a 'not equal to' relationship, as though something is more than or less than the other. In mathematics, an inequality is a relationship that results from a non-equal comparison of two numbers or other mathematical expressions. Inequalities are mathematical expressions that fall within the category of algebra.

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which ratio has the unit rate of 4

Answers

[tex]2\frac{1}{2} ~~ : ~~ \cfrac{5}{8}\implies \cfrac{5}{2} ~~ : ~~ \cfrac{5}{8}\implies \cfrac{ ~~ \frac{5}{2} ~~ }{\frac{5}{8}}\implies \cfrac{5}{2}\cdot \cfrac{8}{5}\implies 4 ~~ \checkmark \\\\[-0.35em] ~\dotfill\\\\ \cfrac{1}{8}~~ : ~~1\implies \cfrac{ ~~ \frac{1}{8}~~ }{1}\implies \cfrac{1}{8} ~~ \bigotimes \\\\[-0.35em] ~\dotfill[/tex]

[tex]4~~ : ~~1\frac{1}{4}\implies 4~~ : ~~\frac{5}{4}\implies \cfrac{4}{ ~~ \frac{5}{4} ~~ }\implies \cfrac{4}{1}\cdot \cfrac{4}{5}\implies \cfrac{16}{5}~~ \bigotimes \\\\[-0.35em] ~\dotfill\\\\ \cfrac{7}{8}~~ : ~~3\frac{1}{2}\implies \cfrac{7}{8}~~ : ~~\cfrac{7}{2}\implies \cfrac{ ~~ \frac{7}{8}~~ }{\frac{7}{2}}\implies \cfrac{7}{8}\cdot \cfrac{2}{7}\implies \cfrac{1}{4}~~ \bigotimes \\\\[-0.35em] ~\dotfill[/tex]

[tex]4\frac{1}{3}~~ : ~~3\implies \cfrac{13}{3}~~ : ~~3\implies \cfrac{ ~~ \frac{13}{3}~~ }{3}\implies \cfrac{13}{3}\cdot \cfrac{1}{3}\implies \cfrac{13}{9} ~~ \bigotimes \\\\[-0.35em] ~\dotfill\\\\ 2~~ : ~~\cfrac{1}{2}\implies \cfrac{2}{ ~~ \frac{1}{2} ~~ }\implies \cfrac{2}{1}\cdot \cfrac{2}{1}\implies 4 ~~ \checkmark[/tex]

2 (1.5c - 2.5) + 7 + 17
pls help

Answers

The simplified form of the expression is equivalent to 3c - 19

Simplifying expressions

An algebraic expression is an expression which is made up of variables and constants, along with algebraic operations such as the addition, subtraction, division and multiplication.

Given the expression below;

2 (1.5c - 2.5) + 7 + 17

Expand

2(1.5c) - 2(2.5) + 7+ 17

3.0c - 5.0 + 24

3c - 19

Hence the simplified form of the expression is equivalent to 3c - 19

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