Mathematics College

Select the correct answer. Which expression is equivalent to ^3 square root of 200k^15, if k ≠ 0

Please help I’m in the middle of a test

Select The Correct Answer. Which Expression Is Equivalent To ^3 Square Root Of 200k^15, If K 0Please

Answers

Answer 1
It is B bc it is in the radical form of ^3sqrt root of 200k^15
Answer 2

The equivalent algebraic expression to [tex]\sqrt[3]{200k^{15}}[/tex] is [tex]2~k^5~\sqrt[3]{25}[/tex]

The correct answer is an option (B)

What is algebraic expression?

"It is a mathematical statement which consists of numbers variables and some algebraic operations."

What are exponents?

"It refers to the number of times a number is multiplied by itself."

For given question,

We have been given an algebraic expression [tex]\sqrt[3]{200k^{15}}[/tex]

We need to find an equivalent algebraic expression to given expression.

We know that the properties of exponents,

for positive integers a, b, n

[tex]\sqrt[n]{a}=a^{(\frac{1}{n} )}\\\\\sqrt[n]{ab}=a^{(\frac{1}{n} )}b^{(\frac{1}{n} )}[/tex]

We can write algebraic expression [tex]\sqrt[3]{200k^{15}}[/tex] as,

[tex]\sqrt[3]{200k^{15}}\\\\=\sqrt[3]{25\times 8\times k^{15}}\\\\=(25)^{\frac{1}{3} }\times (8)^{\frac{1}{3} }\times (k^{15})^{\frac{1}{3} }\\\\=\sqrt[3]{25}\times 2\times (k)^{\frac{15}{3} }\\\\ =2\sqrt[3]{25} \times k^5\\\\=2~k^5~\sqrt[3]{25}[/tex]

Therefore, the equivalent algebraic expression to [tex]\sqrt[3]{200k^{15}}[/tex] is [tex]2~k^5~\sqrt[3]{25}[/tex]

The correct answer is an option (B)

Learn more about the algebraic expression here:

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Related Questions

39.4 x 1.7 I don’t how workout this out

Answers

Answer:the answer is 66.98

Step-by-step explanation:

What is the domain of the given function?

{x | x = –6, –1, 0, 3}
{y | y = –7, –2, 1, 9}
{x | x = –7, –6, –2, –1, 0, 1, 3, 9}
{y | y = –7, –6, –2, –1, 0, 1, 3, 9}

Answers

Answer:

{x | x = –6, –1, 0, 3}

Step-by-step explanation:

doin the test rn

The crew of a garbage truck takes 5 hours to empty all the bins in one neighborhood on pickup day. The city assigned a second garbage truck to this neighborhood. During their training, it took the crew from the second truck 8 hours to empty all the bins.

Answers

Answer:62%    Step-by-step explanation:

how do you
find the exact value of each
variable that represents a side length in a right triangle

Answers

Use the pythagorean theorem if you cannot directly measure it. a squared plus b squared = c squared

What is the volume of a sphere with a diameter of 4 meters? (Use 3.14 for π.) 18.84 m 3 100.48 m 3 33.49 m 3 25.12 m 3

Answers

Answer:

Step-by-step explanation:

the formula for Volume of the sphere is

V=4/3 * π*r^3

diameter =4, r=2

V=4/3 * 3.14 * 8=33.49

100 points! hard problem!

Answers

Answer:never gonna give you up

Step-by-step explanation:by rick astley

"you wouldnt get this from any other guy and i just wanna ask you how your feeling, gotta make you underatnd, never gonna give you up, never gonna let you down."

nEvEr gOnnA giVe U uP

What is the domain of the relation shown?
will mark as branliest

Answers

Answer:

2 or 4

Step-by-step explanation:

There are49 students on a tour.Each guide can take 5 students.How many guides are needed?Explain.

Answers

10 because 9 is 45 and then there is 4 students left over who need a guide (please give brainliest:) )

Which statement(s) most directly apply to capitalism?

1. There is heavy government regulation of industry.
II. Individuals can start some, but not all, kinds of enterprises.
III. The price and availability of goods is determined primarily by the market.
a. I and II
b. ll only
c. I and III
d. Ill only

Answers

Answer:

The answer is D, lll only.

Step-by-step explanation:

Just took the test on e d g e!

The statement that most directly applies to capitalism is III only.

Option D is the correct answer.

What is capitalism?

It is a system of the economy where means of production and distribution are owned by the private, not the government.

We have,

The economic system of capitalism is characterized by private ownership of the means of production and distribution of goods and services, as well as the profit motive as the driving force behind economic activity.

Based on this definition, statement III most directly applies to capitalism, as it highlights the central role of market forces in determining prices and availability of goods.

On the other hand,

Statement I, which suggests heavy government regulation of the industry, is not a typical feature of capitalism, as it implies a more interventionist approach by the government in the economy.

Capitalism generally favors a more limited role for the government in economic affairs, although some government regulations may still be present.

Statement II, which suggests that individuals can start some, but not all, kinds of enterprises, is also not a defining characteristic of capitalism.

In a capitalist system, individuals are generally free to start any kind of enterprise that they wish, provided they can obtain the necessary resources and meet any legal or regulatory requirements.

Therefore,

The statement that most directly applies to capitalism is III only.

Learn more about  capitalism here:

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Write an equation for the line that passes through (2,-1) and is parallel to the line y= 3x+8?

Answers

Answer:

y= 3x + 5

Step-by-step explanation:

If it is parallel it has the same slop so we know mx = 3x

then solve for b

-1 = 3(2) + b

-1 = 6 + b

5 = b

Which algebraic expression is equivalent to the expression below?

--------------------------
(4n + 14) + (6 + 7n)
--------------------------

A. 24n + 7

B. 10n + 21

C. 18n + 13

D. 11n + 20

Answers

Answer:

D

Step-by-step explanation:

Combine like terms 4n can only be added with 7n and 14 can only be added to 6

Answer:

11n + 20

Step-by-step explanation:

Because all of the signs are + , the parentheses can be removed.

Next, combine like terms:

4n + 14 + 6 + 7n = 11n + 20

None of the three given possible answers is correct.

Juanita constructed a number line to test her brother’s understanding of opposites. She tested him on all points that were labeled with letters. Her brother had trouble representing the opposite of point A.

Which represents the opposite of Point A?
Negative (negative 10)
Negative (negative 5)
0
Negative (10)

Answers

Answer:

-(10)

Step-by-step explanation:

Answer:

negative (negative 10) is the answer.

Step-by-step explanation:

An online camping supplies outlet charges $14 for a canteen,
and shipping is $2 per order.
Part A
Write an expression that CJ can use to find the total cost in
dollars for ordering n canteens.

Part B
CJ orders 2 canteens and his friend Cameron orders 4 canteens.
What is the total cost, including shipping, for both orders?
Show your work.

Answers

Answer:

Part A: 14x + 2

Part B: CJ's order is $30, and Cameron's order is $58.

Step-by-step explanation:

Part A: The total cost of the order would be $14 multiplied by the amount of canteens, plus the shipping price of $2. This is what my expression represents.

Part B:

CJ's Order:

14(2) + 2 =

28 + 2

$30

Cameron's Order:

14(4) + 2 =

56 + 2 =

$58

Hope this helps! :D

find the distance between (9,3) and (5,-3) in simplest radical form

Answers

Answer:

[tex]d = 2\sqrt{13}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra II

Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Point (9, 3)

Point (5, -3)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d.

Substitute [DF]:                    [tex]d = \sqrt{(5-9)^2+(-3-3)^2}[/tex]Subtract:                               [tex]d = \sqrt{(-4)^2+(-6)^2}[/tex]Exponents:                           [tex]d = \sqrt{16+36}[/tex]Add:                                      [tex]d = \sqrt{52}[/tex]Simplify:                                [tex]d = 2\sqrt{13}[/tex]

Which of the following can be epressed as repeating decimals?
3/8 and 5/6
2/9 and 5/6
2/9 and 5/4
3/8 and 5/4

Answers

Answer:

2/9 = 0.222 (this is repeating) 3/8 = 0.375 -- not repeating 5/6 = 0.83333 (this is repeating) 5/4 = 1.25 -- not repeating answer is : 2/9 and 5/6

Step-by-step explanation:

A table is 600 inches long. How long is the table in feet?​

Answers

Answer:

50 ft

Step-by-step explanation:

Answer: 50

Step-by-step explanation: there are 12 inches in a feet. 600 inches/ 12 feet= 50

What is the slope of the line that passes through the points (-3, -9)(−3,−9) and (22, -4) ?(22,−4)? Write your answer in simplest form.

Answers

Answer:

1/5

Step-by-step explanation:

Equation: [tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

Points: (-3, -9) and (22, -4)

[tex]y_{2}[/tex] is the second y point that shows up on the question, basically go by order. So it's -4

[tex]y_{1}[/tex] is -9, because again, in order of which coordinates pop-up first in the question

[tex]x_{2}[/tex] is 22, [tex]x_{1}[/tex] is -3

Now input into the equation, to make it easier we'll split the fraction into 2 equations:

[tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex] = [tex]y_{2} - y_{1}[/tex] and [tex]x_{2} - x_{1}[/tex], we'll put them back in a fraction later

[tex]y_{2} - y_{1}[/tex] = -4 - (-9) = -4 + 9 = 5

[tex]x_{2} - x_{1}[/tex] = 22 - (-3) = 22 + 3 = 25

now put it in the fraction, remember y on top x on the bottom:

5/25, simplify, 1/5

Find - square root 49
+7
7
-7
24.5
Easy points please put answer

Answers

Answer:

7?

Step-by-step explanation:

7
7 times 7 is 49
So the square root of 49 is positive 7

How do you write this in a expression?please answer quick (take away a number n from 24)

Answers

Answer:

24-n

Step-by-step explanation: hope this helps if it does pls give brainliest tysm!

Answer:

24-n

Step-by-step explanation: we taking away so that is substraction.

Please Help These Are All My Points.

Answers

im pretty sure it’s the second one i’m sorry if i’m wrong

What is the best name of the line?

Answers

The radius is the answer

Two less than three times a number is equal to 19. What is the number?

Answers

The best way to approach a word problem like this

is to break it down into pieces, so we can understand it fully.

In this problem, we have a number, which we don't know.

We can use any variable to represent it.

So let's use the variable n to represent it.

"Two less than three times a number" means 3n - 2.

A common mistake is for students to put 2 - 3n.

However, the word "less than" switches the order around.

So we have 3n - 2 = 19.

Solving from here, we add 2 to both sides to get 3n = 21.

Now divide both sides of the equation by 3 and we have n = 7.

So the number is 7.

Juan pago $50.00 pesos por 3 cajas de paquetes y 5 cajas de clavos, mientras que Pedro compró 5 cajas de taquetes y 7 cajas de clavos y tuvo que pagar $ 74.00 pesos . ¿ Cual es el precio de cada caja de taquetes y clavos ?
a) ¿ Cuantas incógnitas hay en el problema ?
b) ¿ Cuántas ecuaciones puedes construir según el texto?
c) ¿ Cuales son esas ecuaciones?

Answers

A) confusión al encontrar la suma de la diferencia de precios
B ) dos
C ) 50 dividida 8, 74 dividida 12


espero que esto haya ayudado!
te agradecería que me dieras un gracias y brainliest (:

Identify the linear function with a slope of -2 and a y-intercept of 1?
a. - 2y = x +1
b. y=-2x
c. y = x-2
d. y=-2x+1

Answers

it's d just put them together to equal y

it’s d step by step explanatory

Choose all that apply!!

Answers

Answer:

B and D. I think

It’s B and D........

There are 42 boys and 48 girls in sixth grade and each student must be assigned a home room. Each homeroom should have the same number of boys and the same number of girls.

what is thegreatest possible number of sixth grade students?

Answers

Answer:

50

Step-by-step explanation:

you add 42 and 48 i think

Tim predicts he will get 98 points on the next exam. If Tim actually earned 62 points, what was Tim's percent error?

Answers

Answer:

If Tim actually earned 62 points . Therefore Tim's percent error is 58.1 % .

Step-by-step explanation:

Will mark the brainliest

Answers

Answer:

C.

X = -5

Step-by-step explanation:

Kyoko is reading a book by her favorite author. She read the first 20 pages in One-half of an hour. Reading at the same pace, Kyoko wants to determine if she’ll have enough time to finish the book before she has to go to bed.

Answers

Answer:

It will take her 3 hours and 120 pages

Step-by-step explanation:

It was on edge pls mark brainliest

Answer:

b

Step-by-step explanation:

What is an equation of the line that passes through the point (-1,-7) and is perpendicular to the line x+y=6x

Answers

Answer: y = -1/5x - 36/5

Hope this is right with the weird fractions. Work in pic:
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