1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alchen [17]
3 years ago
6

What is the simplified form of the following expression? 7(^3 square root 2x) - 3 (^3 square root 16x) -3 (^3 square root 8x)

Mathematics
1 answer:
Pachacha [2.7K]3 years ago
5 0

Answer:

The third option listed: \sqrt[3]{2x} -6\sqrt[3]{x}\\

Step-by-step explanation:

We start by writing all the numerical factors inside the qubic roots in factor form (and if possible with exponent 3 so as to easily identify what can be extracted from the root):

7\sqrt[3]{2x}  -3\sqrt[3]{16x} -3\sqrt[3]{8x} =\\=7\sqrt[3]{2x}  -3\sqrt[3]{2^32x} -3\sqrt[3]{2^3x} =\\=7\sqrt[3]{2x}  -3*2\sqrt[3]{2x} -3*2\sqrt[3]{x}=\\=7\sqrt[3]{2x}  -6\sqrt[3]{2x} -6\sqrt[3]{x}

And now we combine all like terms (notice that the only two terms we can combine are the first two, which contain the exact same radical form:

7\sqrt[3]{2x}  -6\sqrt[3]{2x} -6\sqrt[3]{x}=\\=\sqrt[3]{2x} -6\sqrt[3]{x}

Therefore this is the simplified radical expression: \sqrt[3]{2x} -6\sqrt[3]{x}\\

You might be interested in
8w-15=57 two step equations
insens350 [35]

Answer:

w=9

Step-by-step explanation:

Our equation is: 8w-15=57

Add 15 to both sides

-15 is now gone because we added 15 so it would be zero

and we have 72 because 15 plus 57 is 72

Now we have:

8w=72

Divide by 8 on both sides

8w cancels out to just w

and 72 divided by 8 is 9

And you're left with:

w=9

       

7 0
3 years ago
4d. Health Survey. In a survey of 1020 adults in the United States, 44% said that they wash their hands after riding public tran
AleksandrR [38]

Answer:

Discrete. See explanation below

Step-by-step explanation:

We need to remember some previous concepts:

We have two types of numerical data: Discrete and Continuous

When we say Discrete data we are refering to data that is countable or can be expressed with integers in a domain.

In the other case when we talk about continuous data we are refering to data that is continuous in a specified domain, it can contain decimals or rational numbers in the Real numbers for example.

For this special case we know that they select a sample size of n=1020 and the sample proportion of people in the United States who wash their hands after riding public transportation was 0.44 or 44% in percentage.

\hat p = \frac{X}{1020}=0.44

X=0.44*1020=448.8 \approx 449

But the number of subjects on this survey needs to be Discrete, since the possible values are 0,1,2,3,4,.....,n and never we have decimals or continuous data in order to express this.  

3 0
3 years ago
.009 is 1/10 of what
IRINA_888 [86]

Answer:

If it's of which decimal than the answer will be 0.09

7 0
3 years ago
Alpha will be marked
Galina-37 [17]

Answer:

The answer is 3.

Step-by-step explanation:

Since you do the parentheses first, you will figure out what why is. Y = 3, because 3*3 =9, and 9-9=0.

8 0
3 years ago
Read 2 more answers
Jaime has 5 over 11 spaceof a project completed while Tim has finished 7 over 13 spaceof the same project.
lina2011 [118]

Tim has completed greater amount of work and overall they have completed 142/143 of the project work

Step-by-step explanation:

Given

Work completed by Jaime = j = 5/11

Work completed by Tim = t = 7/13

<u>a. Who has completed the greater amount of work?</u>

In order to see that we have to convert the fractions in decimal

So,

j = 5/11 = 0.45

t = 7/13 = 0.53

As we can see that the decimal for Tim's work space is large, Tim has completed greater amount of work

b. How much of the project have they completed together? Show your work.

We have to find the total work done by them

Total\ work = j + t\\= \frac{5}{11} + \frac{7}{13}\\=\frac{65+77}{143}\\=\frac{142}{143}

Hence,

Tim has completed greater amount of work and overall they have completed 142/143 of the project work

Keywords: Fractions, LCM

Learn more about fractions at:

  • brainly.com/question/1836777
  • brainly.com/question/1993757

#LearnwithBrainly

4 0
3 years ago
Other questions:
  • What is 1/4 times 3/5?
    8·2 answers
  • How do you raise s to the 4th power ​
    5·1 answer
  • Drew drives his car and Rachel drives her truck in the same direction on the highway at constant speeds for 3.25 hours. During t
    15·1 answer
  • The sloping side of a cone is 10cm and the height is 8cm. find the radius of the base
    13·1 answer
  • In the number<br> 23.45, the digit<br> 2 is in the Select...<br> place.
    6·2 answers
  • ∣1/12 − 5/6∣ − (2/5 + 1/10) <br><br> I WILL GIVE BRAINLYST
    8·1 answer
  • Find the slope and the y-intercept of the graph of the linear equation. Then, graph the equation.
    13·1 answer
  • What is the measure of the arc in the<br> picture above?<br> I will make BRAINLIEST !
    6·1 answer
  • What is a and b? PLEASE HELP!!
    13·1 answer
  • Sqrt(32x^3) - sqrt(16x^3) + root(4,x^3) -sqrt(2x^3)
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!