Simplify the expression
$\sqrt[3]{686x {}^(4) } y {}^(7)$

Answers

Answer 1

Answer:

The expression can be simplified as $7x\sqrt[3]{ 2x} y^7$ .

What is an expression?

An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division, etc.)

A phrase in language may contain an action on its own, but it does not constitute a whole sentence.

Given:

The expression = $\sqrt[3]{686x^4} y^7$

Factorize 686 we get 7³ × 2

= $\sqrt[3]{7^3* 2x^4} y^7$

= $7x\sqrt[3]{ 2x} y^7$

Therefore, the expression can be simplified as $7x\sqrt[3]{ 2x} y^7$ .

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Answer 2

Answer:

Final answer:

The simplified form of the expression \sqrt[3]{686x {}^{4}} * y {}^{7} is 2y^7x * \sqrt[3]{x}. This is achieved by breaking down 686 into its prime factors and simplifying under the cube root.

Explanation:

To simplify the given expression \sqrt[3]{686x {}^{4} } y {}^{7}, we first break down 686 into its prime factors. 686 = 2 * 7 * 7 * 7 or 2 * 7^3. Now we can simplify the given expression by solving it inside the cube root first: \sqrt[3]{2 * 7^3 * x^4}, which simplifies to 2y^7x * \sqrt[3]{x}

\sqrt[3]{686x {}^{4}} * y {}^{7} = 2y^7x * \sqrt[3]{x}

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Related Questions

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An investment project involves an immediate outlay of $8 million. The net cash flows received at the end of years 1, 2, and 3 will be $3 million, $4 million, and $2 million. A 10% discount rate is applicable so that the present value factors for years 1, 2, and 3 are 0.9091, 0.8264, and 0.7513. The NPV of the investment will be: (a) (b) (c) (d) $1 million $9 million $0.46 million $7.54 million
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Is y = x/9 a direct variation
Which of the following pairs of functions are inverses of each other?

A.109
B.87
C.98
D.69

Answers

Answer:

hey what's

Step-by-step explanation:

a question wow okay the answer is

I think it’s b because the other ones are different

Describe the following Algebraic Expression using the Algebraic Vocabulary words. Use all four words in yourdescription. Use complete sentences: 12y + 6-8x - m
Terms, coefficients, variables, constants

Answers

Final answer:

The given algebraic expression has terms, coefficients, variables, and constants.

Explanation:

The given algebraic expression is 12y + 6 - 8x - m.

In this expression, terms are the individual parts that are added or subtracted. The terms in this expression are 12y, 6, -8x and -m.

The coefficients are the numbers that multiply the variables. In this expression, the coefficients are 12 and -8.

Variables are the letters that represent unknown values. In this expression, the variables are y and x.

The constants are the numbers without variables. In this expression, the constant is the number 6.

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Graph △RST with vertices R(4, 1), S(7, 3), and T(6, 4) and its image after the glide reflection.Translation: (x, y)→(x−3, y)
Reflection: in the line y=−1

Answers

The image of triangle △RST after the glide reflection, which involves a translation of (x, y) → (x - 3, y) followed by a reflection in the line y = -1, is △R'S'T' with vertices R'(1, -2), S'(4, -5), and T'(3, -6).

To graph triangle △RST with vertices R(4, 1), S(7, 3), and T(6, 4), and its image after the glide reflection, we'll follow these steps:

Start by plotting the original triangle △RST using the given vertices:

R(4, 1)

S(7, 3)

T(6, 4)

Now, let's apply the translation to every vertex of the triangle.

The translation (x, y) → (x - 3, y) shifts each point 3 units to the left (in the negative x-direction).

Apply this translation to each vertex:

R' = (4 - 3, 1) = (1, 1)

S' = (7 - 3, 3) = (4, 3)

T' = (6 - 3, 4) = (3, 4)

Next, we'll apply the reflection in the line y = -1 to the translated vertices. The reflection in this line flips each point across the line.

To do this, we'll calculate the distance between each point and the line y = -1 and then move the same distance in the opposite direction.

R'' is reflected across the line y = -1 to (1, -2).

S'' is reflected across the line y = -1 to (4, -5).

T'' is reflected across the line y = -1 to (3, -6).

Now, we have the vertices of the image triangle △R'S'T'.

You can plot these points on the same graph as the original triangle to visualize the glide reflection transformation.

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Answer:

Step-by-step explanation:

Points R(4,1) S(7,3) T(6,4) after translation

R(4-3, 1) S(7-3, 3) T(6-3, 4)

R'(1, 1) S'(4, 3) T'(3, 4)

Points R'(1, 1) S'(4, 3) T'(3, 4) after reflection

R''(1, -3) S''(4, -5) T''(3, -6)

Which graph does NOT represent a function?

Answers

C (the one that looks like a circle)

The circle on is a not function because the line will touch but ends

Which expression is the additive inverse of 25?

Answers

Answer:it’s actually very simple it’s A.

Step-by-step explanation: anything that is below one is negative that’s how I got my answer.

Answer:the answer is A

Step-by-step explanation:i did the test

A fire ranger stands atop an observation tower 70 feet above the ground and sees a fire in the distance. She measures the angle of depression from where she is to the fire and finds it to be 34° How far away from the base of the tower is the fire?

Answers

Answer:

$103.78\:\mathrm{ft}$

Step-by-step explanation:

We can form a right triangle where the distance between the ranger's current position and fire is the hypotenuse of the triangle. In a right triangle, the tangent of an angle is equal to its opposite side divided by the hypotenuse.

Therefore, we have:

$\tan 34^(\circ)=(70)/(x)$ , where $x$ is the distance between the base of the tower and the fire.