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

a+b-__=a whats the blank and whats a and b

Answers

Answer:

-c is the blank and a+b is variables of real numbers.

Step-by-step explanation:

A real number is a value of a continuous quantity that can represent a distance.

However equality is a relationship between two quantities or, more generally two mathematical expressions, asserting that the quantities have the same value, or that the expressions represent the same mathematical object.

An 8-sided solid is labeled with faces 1, 2, 3, skip, 4, 5, 6, skip. What is the sample space for the number solid, and what is the probability of rolling a 1?

A.
{1,2,3,4,5,6,skip,skip}; P(1)=0.125

B.
{1,2,3,skip,4,5,6}; P(1)=0.14

C.
{1,2,3,4,5,6, skip}; P(1)=0.125

D.
{1,2,3,4,5,6}; P(1)=0.17

Answers

Using it's concepts, it is found that the sample space and the desired probability are given by:

C. {1,2,3,4,5,6,skip}; P(1)=0.125

What is the sample space of an experiment?

The sample space is the set that contains all possible outcomes for an experiment.

If an outcome happens more than once, as is the case for the "skip" in this problem, it is shown only once on the sample space, hence for this problem it is given by:

{1,2,3,4,5,6, skip}

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, one out of eight outcomes result in a one, hence:

P(1) = 1/8 = 0.125.

Which means that option C is correct.

More can be learned about probabilities at https://brainly.com/question/14398287

a
Write a rule that Linda can use to figure out how many cups of chocolate she needs for any
number of cups of cream when making Super Truffles.

Answers

Answer:

Multiply the number of cups of cream by two and a half.

Hello can someone please help me ??? Solve the following system of equations graphically on the set of axes ?? y=2/3x+3 ...................................................................y=- 4/3-3 both of them on graph Please. ...

Answers

keeping in mind that the solution to a system of equations is where the graphs of the equations meet or intersect, Check the picture below.

Roberto has by saltine crackers at the store. The label on the shelf for brand A says that it’s unit cost is $3.75/lb. Brand B says that its unit cost is $0.18/oz. Which is the better by?

Answers

Answer:

Brand A

Step-by-step explanation:

IN the end buying it for $3.75/lb would end up being cheaper then buying it for $0.18/oz. Hopethis helps!

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 :)

Can slope intercept form have y as the slope?

For example:
x = 7y

Answers

Answer:

yes

Step-by-step explanation:

The equation of the line is written in the slope-intercept form, which is: y = mx + b, where m represents the slope and b represents the y-intercept.

Lesley has 180 y marbles in a bag. She gave 2/5 of the marbles to Danny. How many marbles does Lesley have left?​

Answers

180 divided by 2/5 to get your answer that should be 24 if I’m correct

What number must you add to complete the square?

x^2 + 8x = -3

A. 64

B. 8

C. 4

D. 16

Answers

Answer:

4

Step-by-step explanation:

before tomorrow can I have a quick answer and maybe an explanation on how to answer these kinds of questions overall? need some help asap

Answers

Answer:

  a) maximum; the parabola opens downward

  b) positive; it must lie above the x-axis

  c) x = 1.5

Step-by-step explanation:

The x-intercepts of a function are the points where the graph of the function crosses the x-axis. The y-values there are zero.

The "differences" of a function are related to the average slope between adjacent points. Second differences are related to the rate of change of the slope of the function. When second differences are negative, as here, the slope of the quadratic function is decreasing, becoming more negative. We say the curvature of the function is negatve, and that it opens downward.

__

a, b.

If the graph of the parabola opens downward, and it crosses the x-axis, it must have a maximum that is a positive value of y.

__

c.

The graph of a parabola is symmetrical about its vertex. That means points on the same horizontal line are the same distance from the line of symmetry, which must go through the vertex. The x-coordinate of the vertex will be the x-coordinate of the midpoint between the two x-intercepts:

  x = (-2 +5)/2 = 3/2

The x-coordinate of the vertex is x = 1.5.

______

Additional comment

The attachment shows a table with three evenly-spaced points on the curve. The calculations show first differences (d1) and second differences (d2). You can see that the sign of the second diffference is negative, in agreement with the given conditions.

Which point would be a solution to the system of linear inequalities shown below?

Answers

Answer: (-4, -6)

Step-by-step explanation:

Solving by graphing

[] See attached

    () The only point in the required range is point (-4, -6)

Solving by plugging-in

        I will figure out what the correct option is by plug them into the first equation. Since only one of these options is true, I do not need to do the second equation.

[✗] Let's check point (4, 10)

    () 10 < (1/4)4 - 4

       10 < 1 - 4

       10 < -3 is false, so this answer is incorrect

[✗] Let's check point (-4, 5)

    () 5 < (1/4)-4 - 4

       5 < -1 -4

       5 < -5 is false, so this answer is incorrect

[✗] Let's check point (-4, -4)

    () -4 < (1/4)-4 - 4

       -4 < -1 -4

       -4 < -5 is false, so this answer is incorrect

[✓] Let's check point (-4, -6)

    () -6 < (1/4)-4 - 4

       -6 < -1 - 4

       -6 < -5 is true, so this answer is correct      

*50 points* Pls help. Pls answer both part A and Part B. Look at the picture for question.

Answers

Answer:

Eleanor has made an error in Step 1

She clearly intended to multiply both sides by 2, but forgot to multiply the [tex]-9x[/tex] part of the RHS.

Step 1 should be:   [tex]x+18=8(2x-6)-18x[/tex]

Correct solution

Given:   [tex]\dfrac12(x+18)=4(2x-6)-9x[/tex]

Step 1:  [tex]x+18=8(2x-6)-18x[/tex]

Step 2:  [tex]x+18=16x-48-18x[/tex]

Step 3:  [tex]x+18=-48-2x[/tex]

Step 4:  [tex]66=-3x[/tex]

Step 5:  [tex]x=-22[/tex]

Use the distributive property to remove the parentheses.
7w3(2w5+9w)
Simplify your answer as much as possible.
Ó
Х
Х
5
?

Answers

Answer:

14[tex]w^{8}[/tex] + 63[tex]w^{4}[/tex]

Step-by-step explanation:

7w³ (2[tex]w^{5}[/tex] + 9w) ← multiply each term in the parenthesis by 7w³

= 14[tex]w^{8}[/tex] + 63[tex]w^{4}[/tex]

[ using rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] ]

Answer:

7w⁴ (2w⁴ + 9)

Step-by-step explanation:

Given

7w³ (2w⁵ + 9w)

Let's simplify.

Using the distributive property, 7w³ is distributed to 2w⁵ and 9w7w³ * 2w⁵ + 7w³ * 9w14w⁸ + 63w⁴The common factor of the two terms is : 7w⁴⇒ 7w⁴ (2w⁴ + 9)

Please answer. Show work. Find volume. Thanks!

Answers

Answer:

225

Step-by-step explanation:

if you convirt them all to fractions and make it 5/1*10/1*36/1=225

PLEASE HELP FOR BRAINLIEST, I'M DOING A TESTTT.

Find the area of the triangle below.
Be sure to include the CORRECT UNIT in your answer.

Answers

Answer:

the answer is 60 yards for the triangle

Which of the following is not a kind of consumer credit?
a. installment credit
b. personal loans
A
C. service credit
d.
marginal credit
Please select the best answer from the choices provided
OA
OB
OC
OD
Mark this and return
Save and Exit
Next
Submit

Answers

Answer:

D. marginal credit is right one

how do I get help with my math work?

Answers

Answer:

post your question and someone will respond

Question 2 I need help
Thank youuu

Answers

Answer:

Pls help me with my questions

Step-by-step explanation:

Luis is proving that the sum of the
measures of the interior angles of a
triangle is 180°. Which statement correctly
completes Luis's proof?

Answers

Answer:

Step-by-step explanation:

4.  m < 1 + m < 4 + m < 5 = 180

Ken drinks 730 bottles of soda a year.
How much does he drink a day.
A 12
B 4
C 2
D 5

Answers

your answer is 5

i divided 730 and 365

What is the volume of a sphere with a radius of 8.8in

Answers

Answer:

2854.5 in^3

Step-by-step explanation:

4/3 π(8.8)^3

4/3π(681.472)

908.63π = 2854.5 in^3

Help 4 easy math questions

Answers

Step-by-step explanation:

1) x+13+90 = 180

or, x = 180 - 103

    x = 77

2) x+74+90 = 180

or, x = 180 - 164

    x = 16

3)  x+62+45 = 180

or, x = 180 - 107

    x = 73

Messyfull people I need your help!!!! ​

Answers

Step-by-step explanation:

[tex] \sin(θ) = \frac{2}{5} [/tex]

We know that

[tex] { \sin ^{2} (θ) } + \cos^{2} (θ) = 1[/tex]

Using that we get

[tex] \cos^{2} (θ) = 1 - \sin^{2}( θ) = 1 - { \frac{2}{5} }^{2} [/tex]

[tex] = 1 - \frac{4}{25} [/tex]

[tex] \frac{21}{25} [/tex]

hence

[tex] \cos(θ ) = \frac{ \sqrt{21} }{5} [/tex]

Step-by-step explanation:

please mark me as brainlest

Find the distance between the two points in simplest radical form.
(-1,-1) and (5,-9)

Answers

Hey there!

The distance will be 10 units

[tex]\sqrt{ { (x2 - x1)}^{2} + {(y2 - y1)}^{2} } \\ \\ = \sqrt{( {5 - ( - 1)}^{2} + {( - 9 - ( - 1)}^{2} )} \\ \\ = \sqrt{ {(5 + 1)}^{2} + {( - 9 + 1)}^{2} } \\ \\ = \sqrt{ {(6)}^{2} + {( - 8)}^{2} } \\ \\ = \sqrt{36 + 64} \\ \\ = \sqrt{100} \\ \\ = 10 \: units[/tex]

Hope it helps

Use calculus to find the volume of the following solid S:

The base of S is the parabolic region {(x,y)|x^2≤y≤1}. Cross-sections perpendicular to the y-axis are squares.

Answers

S casts a "shadow" on the x-y plane given by the set

[tex]S' = \left\{(x,y) ~:~ -1 \le x \le 1 \text{ and } x^2 \le y \le 1\right\}[/tex]

Each cross section is a square whose side length is determined by the vertical distance between y = 1 and y = x², which is |1 - x²|. But since -1 ≤ x ≤ 1, this distance simplifies to 1 - x².

The volume of an infinitesimally thin section is then (1 - x²)² ∆x (where ∆x represents its thickness), and so the volume of S is

[tex]\displaystyle \int_{-1}^1 (1-x^2)^2 \, dx = \int_{-1}^1 (1 - 2x^2 + x^4) \, dx[/tex]

The integrand is even, so this integral is equal to twice the integral over [0, 1] :

[tex]\displaystyle \int_{-1}^1 (1-x^2)^2 \, dx = 2 \int_0^1 (1 - 2x^2 + x^4) \, dx = 2 \left(1 - \frac23 + \frac15\right) = \boxed{\frac{16}{15}}[/tex]

Helppp PLEASE ASPPP HELP HELP HELP PLEASE HELP

Answers

Answer:

c. 17/12

Step-by-step explanation:

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 volume of the cone.
Either enter an exact answer in terms of π or use 3.14 for π and round your final answer to the nearest hundred. radius is 5 height is 5 ​

Answers

[tex]\bold{ANSWER:}[/tex]
130.83 units^3

[tex]\bold{EXPLANATIONS:}[/tex]


HELP PLS HJJHHHJJHH

Answers

Answer:

See below ↓↓

Step-by-step explanation:

Important facts given [needed to solve]

Time period = 3 yearsLoan amount = $5000Interest rate = 8% (semi-annually - twice a year)Monthly payment = $156.68

Solving :

Total amount to be repaid = Monthly payment x 3 years= Monthly payment x 3 x 12 months= $156.68 x 36= $5640.48 (a)

Interest paid

Total amount repaid - Initial loan amount= 5640.48 - 5000= $640.48 (b)

Kurtis is watching a movie. The movie lasts 280 min. Kurtis has watched 30% of the movie so far. How many minutes of the movie has Kurtis watched? Show your Work.

Answers

Answer:

ok so this is just multiplycation

30% is also 0.3 so

280*0.3=84

84 minutes or

1 hour 24 minutes

Hope This Helps!!!

Answer: 23810645.03820431-24

Step-by-step explanation:

Used my brain :)

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