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
Lelechka [254]
3 years ago
10

Simplify the cube root in simplest radical form. 9x374 Please help

Mathematics
1 answer:
algol [13]3 years ago
6 0

Answer:

D. xy\sqrt[3]{9y}

Step-by-step explanation:

\sqrt[3]{9x^3y^4}

\sqrt[3]{9}\sqrt[3]{x^3}\sqrt[3]{y^4}

The \sqrt[3]{x^3} cancels out to become x:

\sqrt[3]{9}x\sqrt[3]{y^4}

Split the y^4=y*y^3

\sqrt[3]{9}x\sqrt[3]{y^3}\sqrt[3]{y^1}

\sqrt[3]{y^3} =y

xy\sqrt[3]{9} \sqrt[3]{y}

Put the cube root of y and cube root of 9 together:

xy\sqrt[3]{9y}

You might be interested in
The distribution of the number of viewers for the American Idol television show follows a normal distribution with a mean of 26
hjlf

Answer:

Probability that next week's show will have between 30 and 37 million viewers is 0.2248.

Step-by-step explanation:

We are given that the distribution of the number of viewers for the American Idol television show follows a normal distribution with a mean of 26 million with a standard deviation of 8 million.

<em>Let X = number of viewers for the American Idol television show</em>

So, X ~ N(\mu=26,\sigma^{2}=8^{2})

Now, the z score probability distribution is given by;

          Z = \frac{X-\mu}{\sigma} ~ N(0,1)

where, \mu = population mean = 26 million

            \sigma = standard deviation = 8 million

So, probability that next week's show will have between 30 and 37 million viewers is given by = P(30 < X < 37) = P(X < 37) - P(X \leq 30)

    P(X < 37) = P( \frac{X-\mu}{\sigma} < \frac{37-26}{8} ) = P(Z < 1.38) = 0.91621

    P(X \leq 30) = P( \frac{X-\mu}{\sigma} \leq \frac{30-26}{8} ) = P(Z \leq 0.50) = 0.69146

<em>Therefore, P(30 < X < 37) = 0.91621 - 0.69146 = 0.2248</em>

Hence, probability that next week's show will have between 30 and 37 million viewers is 0.2248.

4 0
3 years ago
Values for the area A of the rectangle shown are 30 SA &lt; 60. Write and solve
Maurinko [17]

Answer:

Nothing further can be done with this topic. Please check the expression entered or try another topic.

Step-by-step explanation:

5X + 3

6 0
2 years ago
A riverboat travels 54 km downstream in 2 hours. It travels 57 km upstream in 3 hours. Find the speed of the boat and the speed
irakobra [83]

Here we must write and solve a system of equations to find the speed of the boat and the speed of the stream. We will find that the boat's speed is 23km/h and the river's speed is 4km/h.

First, remember the relation:

Distance = Speed*Time.

Now let's define the variables we will be using:

  • B = boat's speed
  • R = river's speed.

When the boat travels downstream, the total speed of the boat is the speed of the boat plus the speed of the river, and we know that in that case it travels 54km in 2 hours, then:

54km = (B + R)*2h

When the boat travels upstream, we must subtract the speed of the river. In that case, we know that the boat travels 57km in 3 hours, then we have:

57km = (B - R)*3h

Then our system of equations is:

54km = (B + R)*2h

57km = (B - R)*3h

To solve this, first, we need to isolate one of the variables in one of the equations, let's isolate B in the second one:

57km = (B - R)*3h

57km/3h + R = B

19 km/h + R = B

Now we can replace that in the other equation:

54km = (B + R)*2h

54km/2h = B + R

27 km/h = B + R = (19 km/h + R) + R

Now we can solve this for R:

27 km/h = 19km/h + 2*R

27 km/h - 19km/h = 2*R

8 km/h = 2*R

(8km/h)/2 = 4km/h = R

Now that we know the value of R, we can use:

B = 19 km/h + R  = 19 km/h + 4km/h = 23 km/h

So the boat's speed is 23km/h and the river's speed is 4km/h.

If you want to learn more, you can read:

brainly.com/question/12895249

5 0
2 years ago
A car travels 60km in 30 minutes. In how much time will it cover 100 km?
Daniel [21]

Answer:

About 40 Minutes, Or something close to that

Step-by-step explanation:

The car covers 60 km in 90 minutes or its speed = 60 km*60/90 min = 40 km/hr . So to cover 100 km at the same speed it will take 100/40 = 40 Min

5 0
2 years ago
Read 2 more answers
A point has the coordinates (m,0) and m unequal 0. Which reflection of the point will produce an image located at (0,-m)
melisa1 [442]

Answer:

y = -x

Step-by-step explanation:

it because the reflection change the value of x become -y

so the reflection we can use is the line y = -x

8 0
3 years ago
Other questions:
  • It rained r inches on Saturday. On Sunday it rained 0.15 inches less than twice Saturday’s amount.
    13·2 answers
  • What would be the root of (x^2 + 2)?
    6·1 answer
  • -q divided by -7&gt;eqauls -1
    12·1 answer
  • A cable for a power transformer forms
    9·1 answer
  • Find the value of x.<br><br>• 5<br>• 20<br>• 40<br>• 45​
    8·1 answer
  • I’m currently very sick and stressed out to the max! I have so much make up work to do and very little time to do any of it and
    15·1 answer
  • Jamal owns a parking garage and is trying to find the relationship between hour of the day and number of cars in the garage. He
    6·2 answers
  • 3x + y = 5 sustitución -1​
    7·1 answer
  • Need help finding the answer.
    11·1 answer
  • Evaluate the expressions when x = 3; y = 4 &amp; z = -2
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!