Which of the following is an equivalent expression to the expression a^1/3 divided by a^1/4?
A. 1/a^12
B. 7/a^12
C. 1/a^12
D. 1/a^7/12

Which Of The Following Is An Equivalent Expression To The Expression A^1/3 Divided By A^1/4?A. 1/a^12B.

Answers

Answer 1

Answer:

C. 1/a¹²

Step-by-step explanation:

Formula

[tex]\frac{a^{m}}{a^{n} } = a^{m-n}[/tex]

Applying that here :

[tex]\frac{a^{\frac{1}{3} } }{a^{\frac{1}{4} } } = a^{\frac{1}{3}-\frac{1}{4} }[/tex][tex]a^{\frac{4-3}{12} } = a^{\frac{1}{12} }[/tex]1/a¹²
Answer 2

Answer:

a^1/12 or choice A

Step-by-step explanation:

Given:

[tex]\displaystyle \large{\dfrac{a^{\dfrac{1}{3}}}{a^{\dfrac{1}{4}}}}[/tex]

Law of Exponent (Division Property):

[tex]\displaystyle \large{\dfrac{a^m}{a^n} = a^{m-n}}[/tex]

Therefore:

[tex]\displaystyle \large{a^{\dfrac{1}{3}-\dfrac{1}{4}}}[/tex]

Then evaluate the fractions. Keep in mind that we can only evaluate fractions with same denominator. Therefore, calculate the LCM of 3,4 which is 12:

[tex]\displaystyle \large{a^{\dfrac{4}{12}-\dfrac{3}{12}} = a^{\dfrac{1}{12}}}[/tex]

Therefore, the solution is a^1/12 or choice A


Related Questions

For each pair of similar figures, find the ratio of the area of the first figure to the area of the second.

Answers

answer:

[tex]\frac{4}{9}[/tex]


explanation:

the area of the larger square is 36 (6*6), and the area of the smaller square is 16 (4*4). to find the ratio of the area, simply just put 16 over 36 and simplify.

[tex]\frac{16}{36} = \frac{4}{9}[/tex]

--

if this helped, please consider giving brainliest !

-10 x 4 =
-21 x 5=
-20 x 9=
-199 x 1=​

Answers

Answer:

•SEE ABOVE ATTACHMENT•

HOPE IT HELPS!

MARK AS BRAINLIAST.

Answer:

-10 x 4 = -40

-21 x 5 = -105

-20 x 9 = -180

-199 X 1 = -199

AYUDAAA PORFA , se entrega a las 4 porfavorrrrrr

Answers

What? Um uh ok I don’t speak Spanish sorry

You pick a card at random
1) What is P(3)? ?

Answers

Answer:

probability=events over the sample space

Step-by-step explanation:

solve for x ~
[tex]x {}^{2} - 5x + 6 = 0[/tex]

thankyou ~​

Answers

[tex]x^2 -5x +6 =0\\\\\implies x^2 -3x -2x +6 = 0\\\\\implies x(x-3) -2(x-3) =0\\\\\implies (x-3)(x-2)=0\\\\\implies x =3, ~ x = 2[/tex]

Answer:

The value of x = 2 or 3

Step-by-step explanation:

By factorisation ,

=> x² - 5x + 6 =0

=> x² - 3x - 2x + 6 = 0

=> x ( x-3 ) -2 ( x-3 ) = 0

=> (x-2) (x-3) = 0

so, the value of x = 3 or 2

What is the distance between points A and B?
0-6 units
-1 units
O 5 units
O6 units

Answers

Step-by-step explanation:

d 6 units .................

The distance between the points A and B is given by D = 6 units

What is the distance between two points?

Let the two points be A ( x₁ , y₁ ) and B ( x₂ , y₂ )

The distance from A to B is the same as the distance from B to A

Distance between two points is the length of the line segment that connects the two points in a plane.

The formula to find the distance between the two points is usually given by D = √( ( x₂ – x₁ )² + ( y₂ – y₁ )²)

This formula is used to find the distance between any two points on a coordinate plane or x-y plane

Given data ,

Let the distance between 2 points be represented as D

Now , let the first point be P ( -5 , 0 )

Let the second point be Q ( 1 , 0 )

Now , distance D = √( ( x₂ – x₁ )² + ( y₂ – y₁ )²)

On simplifying , we get

D = √ ( -5 - 1 )² + ( 0 )²

D = √ ( 6 )²

D = 6 units

Hence , the distance is 6 units

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PLEASE HELP I NEED TO FINISH THIS TODAY PLEASE BE RIGHT I NEED TO GET TO 70 AND I AM IN 54

Answers

Answer:

M"(-5, -7)N"(-5, -3)O"(0, -3)

Step-by-step explanation:

Each of the transformations can be written in terms of what they do to the coordinates:

  (x, y) ⇒ (-y, x) . . . . . . rotation 90° CCW

  (x, y) ⇒ (x -7, y-8) . . . . translation 7 left and 8 down

__

Together, these transformations result in the composite transformation ...

  (x, y) ⇒ (-y -7, x -8)

The end values of the original points are then ...

  M(1, -2) ⇒ M"(-(-2) -7, 1 -8) = M"(-5, -7)

  N(5, -2) ⇒ N"(-(-2) -7, 5 -8) = N"(-5, -3)

  O(5, -7) ⇒ O"(-(-7)-7, 5 -8) = O"(0, -3)

_____

Additional comment

You can get an idea of what the 90° rotation looks like by printing the figure and turning it 1/4 turn counterclockwise. The points will have the same relative locations with respect to the axes. Effectively, you are relabeling the x-axis to y, and the -y axis to x. (That is what the 90° CCW transformation formula is telling you.)

Alternatively, you can turn your head sideways when you look at the computer screen.

In the attachment, the black arrow represents the translation vector, 7 left and 8 down.


How many seconds is 3.25 hours

Answers

Answer:

a total of 11700 senconds are on 3.25 hours

=
EXPONENTS AND POLYNOMIALS
Factoring a quadratic by the ac-method
Factor by grouping (sometimes called the ac-method).
2
2x + 3x-9
-
First, choose a form with appropriate signs.
Then, fill in the blanks with numbers to be used for grouping.
Finally, show the factorization.

Answers

Answer:

5x-9

Step-by-step explanation:

Add 2x and 3x since they're like terms

5x-9

5x-9 ask your teacher about your homework

Solve the following equation
X = 2x+8/x

Answers

Answer:

2i*sqrt(2), -2i*sqrt(2).

Step-by-step explanation:

x=2x+8/x

x-2x=8/x

-x=8/x

8=-x(x)

8=-x^2

8-(-x^2)=0

8+x^2=0

x^2+8=0

x=2i*sqrt(2), -2i*sqrt(2).

Step-by-step explanation:

[tex]x = \frac{2x + 8}{x} [/tex]

[tex] {x}^{2} = 2x + 8[/tex]

[tex] {x}^{2} - 2x - 8 = 0[/tex]

[tex](x - 4)(x + 2) = 0[/tex]

[tex]x = 4[/tex]

or

[tex]x = - 2[/tex]

PLEASE HELP PLEASE PLEASE HELP

Answers

Answer:

Blue stars are the hottest stars.

Drag each expression to show whether it is equivalent to 36x + 9 or 9(4x – 1).

Answers

The answer is below!!

Equivalent expressions of  36x+9 are 9(4x+1) and 9.4x +(9.1) and for 36x-9 the equivalent fractions are 9(4x-1) and 9.4x-(9.1

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression  is 36x+9

Thirty six times of x plus nine.

In the expression x is the variable and plus is the operator.

Equivalent expressions are expressions that work the same even though they look different.

The equivalent expression of  36x+9 are 9(4x+1)

and 9.4x +(9.1) we get this factoring the expression.

Now the other expression is 36x-9

Thirty six times of x minus nine.

Minus is the operator in the expression.

The equivalent expressions are 9(4x-1) and 9.4x-(9.1)

Hence,  equivalent expressions of  36x+9 are 9(4x+1) and 9.4x +(9.1) and for 36x-9 the equivalent fractions are 9(4x-1) and 9.4x-(9.1)

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A mechanic charges his customers $45 for every hour he works. He also charges the cost of parts.
For one job, he works 4.5 hours, and the parts cost $118. What is the total amount of money he
charges for the job?

Answers

W = $118 + $45h, where h=number of hours worked.

3/4 of tom's favorite number is 36. what number is one half of tom's favorite number

Answers

Answer: 3/4 is 75%

Step-by-step explanation: Since his fav number is 36 the half of 36 is 18 bc 18 + 18 is 36

The domain of a function g(x) is x< 2. and the range is y > 0. What range the domain and range of its inverse function, g[tex]g^-1[/tex](x)?

Answers

Answer: the answer is b

Step-by-step explanation:

Domain and ranges of inverse functions are swapped.

Domain of the original is the range of the inverse and vice versa.

Which of the numbers listed below are solutions to the equation? Check all
that apply.
x² = -64
O
A. -8
O
B. -64
0 C. 8
1
D. -4
u
E. 64
F. None of these

Answers

Answer:

F. None of these

Step-by-step explanation:

A number can never be negative when squared unless an imaginary number is involved. Since none of the answers involve i, the answer must be F. None of these.

Jessica needs 658 cups of flour for her recipe. The box she has only has 78 cup of flour left in it.

How many more cups of flour does she need?

Enter your answer as a mixed number in simplest form by filling in the boxes.

Answers

Answer:

5 3/4 cups.

Step-by-step explanation:

Subtract the two amounts.

6 5/8 - 7/8

Make 6 5/8 an improper fraction by multiplying the 8 and 6 then adding 5.

8 x 6 = 48

48 + 5 = 53

53/8

53/8 - 7/8 = 46/8

Convert back into a mixed number by dividing.

46/8 = 5 6/8

reduce the fraction

5 3/4

show that the function [tex] f : R \dashrightarrow R [/tex] defined by f ( x ) = [tex]\frac{1}{x} \\ [/tex] is one - one but not onto.

thankyou! :)​

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

The given function is :

[tex]\qquad \tt \dashrightarrow \:f(x) = \frac{1}{x} [/tex]

here, for each value of x there is an unique value of f(x), so we can infer that it's a " one - one " function.

but it isn't an onto function because for value of x as 0, we have no value of f(x) [ undefined ]

At a track meet, Jacob and Daniel compete in the 220 m hurdles. Daniel finishes in of a minute. Jacob
finishes with of a minute remaining. Who ran the race in the faster time?
12

Answers

At a track meet, Jacob and Daniel compete in 220 m hurdles.
Daniels finishes in of the a min.
Jacob finishes with of a min remaining.
Question:
Who ran the race in faster time?
The Process:
Let us see the denominators. The least common multiple (LCM) of 4 and 12 is 12.
Let us draw the diagram that represents a minute.
12 units represent in one minute.
Daniels finishes in of the a min.
or 9 of 12 units.
Jacob finishes with of a min remaining, or 5 of 12 units. This means Jacob finishes in or 7 of 12 units, that is
And now we conclude who ran the race in a faster time.
Daniels:
Jacobs:
Because Jacob took the race in a shorter time, he was who ran the race in a faster time.
- - - - - - - - - -
Quick Steps
Daniels: in of the a min.

Jacob: in of the a min.

Jacob's time is shorter, so he's the fastest.
- - - - - - - - - -
Calculate the speed
Recall
Daniels:
Jacob:
Thus, Jacob's speed proved greater than Daniels's speed.

If 20 articles cost ₹ 90, then the cost of 9 articles is

Answers

Answer:

₹ 40.50

Step-by-step explanation:

Cost of 20 articles = ₹ 90

Cost of 1 article = ₹ 90/20

Cost of 9 article = 9 x 90/20 = ₹ 40.50

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=8600(0.11)^x

Answers

The function represents a decay of 88.97% per unit increase in x.

What is percentage?

Percentage is a way of expressing a number or proportion as a fraction of 100. It is represented by the symbol "%".

The exponential function can be written in the form of y = [tex]ab^{x}[/tex], where:

a is the initial value or the value of the function when x = 0

b is the base or the factor by which the function changes for each unit increase in x

Comparing this form to the given function, we can see that:

a = 8600

b = 0.11

To determine whether the function represents growth or decay, we need to consider the value of the base (b). If the base is greater than 1, then the function represents growth, and if the base is between 0 and 1, then the function represents decay.

In this case, the base (0.11) is between 0 and 1, so the function represents decay.

To determine the percentage rate of decrease, we can use the formula:

Percentage change = (new value - old value) / old value * 100%

Since the function represents decay, the old value is the initial value (a = 8600) and the new value is the value of the function when x = 1:

y(1) = 8600(0.11)¹ = 946

Plugging in these values, we get:

Percentage change = (946 - 8600) / 8600 * 100% = -88.97%

Therefore, the function represents a decay of 88.97% per unit increase in x.

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i need help asap this is k 12 and 100 points

Answers

Answer:

6.8

Step-by-step explanation:

Add the numbers and divide by the amount of numbers and get 6.8

Answer: 6.8.

Step-by-step explanation: When finding the mean of a data set, you need to add all the numbers of the set, and then divide the answer by however many numbers you have on the data set.  The work is done below:

14 + 7 + 2  8 + 3 = 34.

34 / 5 = 6.8, because there are 5 numbers in the data set.

Have a great day! :)


A bag of balloons contains 4 red balloons, 11 green balloons, 15 yellow balloons, and 8 orange balloons. What is the probability that
a randomly selected balloon would be green or orange?

Answers

Answer:

There is motlre chance that a green Ballon will be selected because green Ballon are more than orange

Step-by-step explanation:

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

Solve and describe the steps used to find x for the equation 4 (x+4) – 10 = 14 ​

Answers

Answer:

[tex]x=2[/tex]

Step-by-step explanation:

Given equation:

[tex]4(x+4)-10=14[/tex]

Add 10 to both sides:

[tex]\begin{aligned}4(x+4)-10+10 & =14+10\\ 4(x+4) & =24\end{aligned}[/tex]

Divide both sides by 4:

[tex]\begin{aligned}\dfrac{4(x+4)}{4} & =\dfrac{24}{4}\\ x+4 & =6\end{aligned}[/tex]

Subtract 4 from both sides:

[tex]\begin{aligned}x+4-4 & =6-4\\x & =2\end{aligned}[/tex]

Therefore, the solution is [tex]x=2[/tex]

Answer:

x = 2

Step-by-step explanation:

To solve the expression, we need to isolate the "x" variable. Start out by simplifying the distributive property on the left hand side.

⇒ 4(x + 4) - 10 = 14⇒ 4x + 16 - 10 = 14

Simplify the left hand side as needed to determine the "x" variable.

⇒ 4x + 6 = 14

Subtract 6 both sides to isolate the "x" variable and it's cooeficient.

⇒ 4x + 6 - 6 = 14 - 6⇒ 4x = 8

Divide both sides by 4 to isolate the "x" variable. Our solution will be a constant on the right hand side.

⇒ 4x/4 = 8/4⇒ x = 2

Thus, the value of x is 2.

Find the axis of symmetry and the vertex of the graph of y=3x^2+2x

Answers

Answer:

Vertex is (-1/3, -1/3) and the axis of symmetry is x = -1/3

Hope this helps :)

In ΔABC, m∠A=4x+7 and m∠B=5x−3. What is the m∠A?

Answers

5x-3+4x+7+90=180
9x-3+7+90=180
9x+94=180
9x=86
x=9.5555555555555555(etc)

Answer:

Angle A = 47

Step-by-step explanation:

Angle A = Angle B { equal sides have equal angles. }

so,

4x + 7 = 5x - 3

7 + 3 = 5x - 4x

10 = x

so Angle A = 4x + 7 = 4(10) + 7 = 40 + 7 = 47⁰

What is the best way to describe the center of the data represented in this line plot?


Select from the drop-down menus to correctly complete the statement.


The Choose is Choose. your options are for the first one is Mean or Median then for the second one is 2 inches, 2.5 inches, 3 inches, or 3.2 inches

.

Answers

The best way to describe the center of the data represented in this line plot include the following: the median is 2.5 inches.

What is a median?

In Mathematics, a median refers to the middle number (center) of a sorted data set, which is when the data set is either arranged in a descending order from the greatest to least or an ascending order the least to greatest.

Since the data set representing the amount of rainfall has an outlier, the median would be best way to describe the center of the data represented in this line plot.

First of all, we would sort the 10 observations from the least to greatest as follows:

1, 1, 2, 2, 2, 3, 3, 5, 6, 7

Median = (2 + 3)/2

Median = 5/2

Median = 2.5 inches.

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what are two variables that might be positively related to academic success?

Answers

study habits and career goals/higher education goals

PLEASE HELP!! TRYING TO PREPARE FOR A TEST!! TOTAL 50 POINTS WHEN GIVEN BRAINLIEST ANSWER!!


Change the Cartesian integral to an equivalent polar integral, and then evaluate.
∫₋₁₁¹¹ ∫₀√⁽¹²¹⁻ˣ²⁾ dy dx

\int\limits^{11}_{-11} \int\limits^{\sqrt{121-x^{2}} } _{0} dy dx

Answers

It looks like the starting integral is

[tex]\displaystyle \int_{-11}^{11} \int_0^{\sqrt{121-x^2}} dy\,dx[/tex]

The key is recognizing the domain of integration as the semicircle centered at the origin with radius 11. In polar coordinates, this integral transforms to

[tex]\displaystyle \boxed{\int_0^\pi \int_0^{11} r \, dr \, d\theta}[/tex]

please help explain how to solve this

Answers

Answer:

C

Step-by-step explanation:

When I input the x value of -2 as shown in the first box of the x&y table the only equation that gave me the correct y was C so I suggest in future problems going in and to input an x value given by the table so that way you can see if it will match up with the corresponding y value

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