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Daniel [21]
3 years ago
5

Which expression is equivalent to square root 8/x^6? assume x > 0

Mathematics
2 answers:
belka [17]3 years ago
8 0

Answer:

\frac{2\sqrt{2}}{x^3}

Step-by-step explanation:

\sqrt{\frac{8}{x^6} }

To simplify the given expression we take square root for the top and bottom

\frac{\sqrt{8} }{\sqrt{x^6} }

\sqrt{8} =\sqrt{4*2} =2\sqrt{2}

\sqrt{x^6} =\sqrt{x^3*x^3} =x^3

Replace it in our problem

\frac{2\sqrt{2}}{x^3}

Alik [6]3 years ago
3 0
<h2>Answer:</h2>

<u>The equivalent expression is </u><u> (2 / x ^ 3) * sqrt (2)</u>

<h2>Step-by-step explanation:</h2>

We have sqrt 8 / x ^ 6

 Rewriting the expression:

 =sqrt (8 / x ^ 6)

 =sqrt (2 * 4 / ((x ^ 2) * (x ^ 2) * (x ^ 2)))

 =(2 / (x * x * x)) sqrt (2)

= (2 / x ^ 3) * sqrt (2)

We get finally

 (2 / x ^ 3) * sqrt (2)

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A phone company offers to monthly plans. Plan a cost $23 plus an additional $.08 for each minute of calls. Plan B cost $19 an ad
Anettt [7]

Answer:

The indifference point is 100 minutes.

Step-by-step explanation:

Giving the following information:

Plan a cost $23 plus an additional $.08 for each minute of calls.

Plan B cost $19 an additional $.12 for each minute of calls.

<u>First, we need to establish the total cost formula for each plan:</u>

Plan A= 23 + 0.08*x

Plan B= 19 + 0.12*x

x= number of minutes

<u>Now, to calculate the indifference point, we equal both formulas and isolate x:</u>

23 + 0.08x = 19 + 0.12x

4 = 0.04x

100= x

The indifference point is 100 minutes.

<u>Prove:</u>

Plan A= 23 + 0.08*100= $31

Plan B= 19 + 0.12*100= $31

5 0
3 years ago
(1 point) There were 23.7 million licensed drivers in California in 2009 and 22.76 million in 2004. Find a formula for the numbe
Salsk061 [2.6K]

Answer:

N(t) = 0.188t + 22.76

Step-by-step explanation:

Number of licensed drivers in 2004 = 22.76 million

Number of licensed drivers in 2009 = 23.7 million

Number of licensed drivers, N as a function of t since year 2004 ;

General form of a linear function :

y = mx + c

c = intercept ; m = slope

Intercept c = value of y ; when x = 0

Here, population after uerssmmx,

Hence,

In 2004 ;

22.76 = mx + c

x = 0

22.76 = c

Number in 2009

x = number of yesrs after 2004 ; x = 2000 - 2004 = 5years

We can find the slope :

y = m*5 + 22.76

y = 23.7 in 2009

23.7 = 5m + 22.76

23.7 - 22.76 = 5m

m = 0.94 / 5

m = 0.188

Hence, the linear function can be written as :

N(t) = 0.188t + 22.76

8 0
3 years ago
I don't know how to do this problem.....please help
Lemur [1.5K]
I hope this helps you

5 0
3 years ago
This is due today and it would be awesome if someone could do one of these problems so I can see how to do them thanks :)
g100num [7]
23.) x=2
24.)same
25.)x=3
26.)x=2
27.)x=3
28.)x= -35/11
6 0
3 years ago
Read 2 more answers
Help asap pls and ty
PolarNik [594]

Answer:

B

Step-by-step explanation: i know

4 0
3 years ago
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