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3 years ago

Which expression is equivalent to sqrt48x^5 if x>0

Mathematics

2 answers:

Sedaia [141]3 years ago

6 0

Sqrt 48 = sqrt 16 . 3
sqrt 48 = 4 sqrt 3

sqrt (x^5) = sqrt x^4 . sqrt x
= (x^4)^1/2 . sqrt x
= x^2 . sqrt x

= 4 . sqrt 3 . x^2 . sqrt x
= 4x^2 sqrt 3x (C)

erastovalidia [21]3 years ago

5 0

Answer:

sqrt (48x^5) if x>0

. implies multiplication

48 = 2. 2.2.2.3= 2^4 .3

sqrt [2^4 .3 (x^5) ] if x>0

sqrt [2^4 ] sqrt [3 ] sqrt [(x^5) ] if x>0

sqrt [16 ] sqrt [3 ] sqrt [(x^5) ] if x>0

4. sqrt [3 ] sqrt [(x^5) ] if x>0

We know, sqrt [(x^5) ] if x>0 = x^2. sqrt [(x) ]

4. sqrt [3 ] .x^2. sqrt [(x) ] if x>0

4x^2 sqrt[3x] (answer c)

Step-by-step explanation:

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You are trying to figure out how many gumballs you need to fill a 7.3 x 5.0 x 9.4 rectangular box for Halloween. Each gumball ha

riadik2000 [5.3K]

According to the calculations made, 410 gumballs will be needed to fill the box.

Since you are trying to figure out how many gumballs you need to fill a 7.3 x 5.0 x 9.4 rectangular box for Halloween, and each gumball has a radius of 1/2 in, if the packing density for spheres is 5/8 of the volume will be filled with gumballs while the rest will be air how many gumballs will be needed, to determine this amount the following calculation must be performed:

(Volume of box x 5/8) / volume of gumballs = Amount of gumballs
Volume of a sphere = 4/3 x 3.14 x (radius x radius x radius)
Volume of a gumball = 4/3 x 3.14 x (0.5 x 0.5 x 0.5) = 0.5235 inches
((7.3 x 5 x 9.4) x 5/8) / 0.523 = X
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Learn more in brainly.com/question/1578538

4 0

3 years ago

Jeff has $24. He spend $10.81, including tax, to buy a new DVD. He needs to set aside $10 to pay for his lunch next week. If pea

nata0808 [166]

Answer:

He can buy 8 packages of peanuts

Step-by-step explanation:

24 - 10.81 = 13.19 Subtract the DVD cost from the $24

13.19 - 10 Subtract the amount that he needs to set aside

3.19 / 0.38 Divide

8 Round to the nearest whole package

8 packages

8 0

4 years ago

Can someone help me?

labwork [276]

Answer:

Acute

Step-by-step explanation:

its Acute because acute angles are small like this one!

7 0

3 years ago

Read 2 more answers

The grades in period 3 Algebra 2 have an average of 82% and vary by 12 percentage points. Formulate an absolute value equation t

Sati [7]

Answer:

$|x - 85| = 12$

$x = 73 \ (smaller\ number )$

$x = 97 \ (larger \ number )$

Step-by-step explanation:

From the question we are told that

The grade is $k = 85\%$

The variation is $v = 12 \%$

Generally the absolute value equation is mathematically represented as

$|x - 85| = 12$

=> $x -85 = \pm 12$

$x = 85 + 12$

$x = 97 \ (larger \ number )$

And

$x = -12 + 85$

=> $x = 73 \ (smaller\ number )$

4 0

3 years ago

The sum of twice a number and 13 is 75

Nina [5.8K]

So what they are saying is the sum of 2x +13=75
Therefore we can just solve for 2x, our unknown value.
2x+13=75 now subtract 13 and divide by 2 from both sides of equation to not change the equation
x+13-13=75-13
This leaves us with
x=(75-13)/2=31 therefore x=31 or our unknown value is 31.

I hope this helped. Any questions please just ask. Thank you.

3 0

4 years ago