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Monica [59]
3 years ago
15

I am simplifying radicals and I've come across one that has me a bit confused.

Mathematics
1 answer:
zhenek [66]3 years ago
5 0

The sqrt of (34 m^4) is  sqrt(34) times sqrt(m^4).

The sqrt of m^4 is easy ... that's just  m^2 .

The other part is more messy.  There's not much you can do with it.

                      sqrt(34) = sqrt(17) times sqrt(2). 

That doesn't help make it any simpler.
You might as well just leave it as sqrt(34). 

Then the final, simplified form of the original expression is

                          m^2 sqrt(34)
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Below is data collected from a random sample of 80 students regarding
Vsevolod [243]

<u>Corrected Question</u>

Below is data collected from a random sample of 80 students regarding  their fitness habits. If the entire school has 600 students, then what is  a reasonable estimate for the number of students who consider themselves to have an average fitness habits.

Answer:

(D)330

Step-by-step explanation:

Out of a random sample of 80 students

44 considered themselves to have AVERAGE fitness habits.

Relative Frequency of Students with average fitness habits=44/80

Therefore, out of the total population of 600 students

Expected Number of Students with average fitness habits

=Relative Frequency of Students with average fitness habits X Total Population

=\dfrac{44}{80}X600\\\\ =330

<u>The correct option is D.</u>

3 0
3 years ago
the slope-intercept form of an equation of the line perpendicular to the graph of x – 3y = 5 and passing through (0, 6).
Leona [35]

Answer:

y = - 3x + 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange x - 3y = 5 into this form

Subtract x from both sides

- 3y = - x + 5 ( divide all terms by - 3 )

y = \frac{1}{3} x - \frac{5}{3}  ← in slope- intercept form

with slope m = \frac{1}{3}

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{\frac{1}{3} } = - 3

Note the line crosses the y- axis at (0, 6) ⇒ c = 6

y = - 3x + 6 ← equation of perpendicular line

3 0
3 years ago
What is 12x1,234+55 divided by 6
Fed [463]

Answer:

14,817.17

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Can anyone help me out please
Brilliant_brown [7]

Answer:

Option (3)

Step-by-step explanation:

We have to divide polynomial given as (x³ - 21x² + 147x - 343) by (x - 7) by synthetic division.

7 | 1     -21     147      -343

  <u> ↓       7     -98        343 </u>

    1     -14      49          0

Therefore, quotient is (x² - 14x + 49) and the remainder will be 0.

Option (3) will be the answer.

7 0
3 years ago
1/5 ( 15 + 10k ) = please help and make sure your answer is accurate.
astra-53 [7]
The answer is 3 + 2k

This is because multiplying by 1/5 is like dividing each term by 5

10k + 15 = 5 • (2k + 3)

8 0
3 years ago
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