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Montano1993 [528]
3 years ago
14

Is this answer correct?

Mathematics
1 answer:
IrinaVladis [17]3 years ago
5 0

Answer:

if i am incorrect please report my answer but im pretty sure that you are correct. have a nice day

Step-by-step explanation:

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Which expression is equivalent to sqrt8x^7y^8? assume x>0
Ilia_Sergeevich [38]

Answer:

\sqrt{8x^7y^8= 2x^3y^4 * \sqrt{2x}

Step-by-step explanation:

Given

\sqrt{8x^7y^8

Required

Evaluate

\sqrt{8x^7y^8

Separate each factor with multiplication sign

\sqrt{8*x^7*y^8

Express 8 as 4 * 2 and x^7 as x^6 * x

\sqrt{4 * 2 *x^6 * x*y^8

Split each factor

\sqrt{4} * \sqrt{2} *\sqrt{x^6} * \sqrt{x}*\sqrt{y^8}

Evaluate \sqrt4

2 * \sqrt{2} *\sqrt{x^6} * \sqrt{x}*\sqrt{y^8}

Apply law of indices:

2 * \sqrt{2} * x^{6*\frac{1}{2}} * \sqrt{x} * y^{8*\frac{1}{2}}

2 * \sqrt{2} * x^3 * \sqrt{x} * y^4

Reorder

2* x^3 * y^4 * \sqrt{2}  * \sqrt{x}

2x^3y^4 * \sqrt{2}  * \sqrt{x}

2x^3y^4 * \sqrt{2*x}

2x^3y^4 * \sqrt{2x}

2x^3y^4 \sqrt {2x

Hence:

\sqrt{8x^7y^8= 2x^3y^4 * \sqrt{2x}

8 0
3 years ago
Read 2 more answers
Sam can mow a lawn in 30 minutes. Rocky can mow the same lawn in 90 minutes. How long does it take for both Sam and Rocky to mow
Anvisha [2.4K]

Answer:

\frac{45}{2} \ minutes

Step-by-step explanation:

Given:

Sam can mow a lawn in 30 minutes.

Rocky can mow the same lawn in 90 minutes.

Question asked:

How long does it take for both Sam and Rocky to mow the lawn if they are working together?

Solution:

By unitary method:

<u>For Sam</u>

Sam can mow  in 30 minutes = 1 lawn

Sam can mow  in 1 minute = \frac{1}{30}\ lawn

<u>For Rocky</u>

Rocky can mow in 90 minutes =  1 lawn

Rocky can mow in 1 minutes = \frac{1}{90} \ lawn

In a case of working together:

In 1 minute, both will mow   =  \frac{1}{30}\ lawn + \frac{1}{90} \ lawn

                                             = \frac{3+1}{90} = \frac{4}{90} \ lawn

To mow \frac{4}{90} \ lawn together, it takes = 1 minute

So, to mow 1 lawn together, it takes = \frac{1}{\frac{4}{90} } =\frac{90}{4} =\frac{45}{2} \ minutes

Thus, both Sam and Rocky will mow the lawn together in \frac{45}{2} \ minutes                    

5 0
3 years ago
Transform the equation to isolate x ax = br + 1. How is
Sonja [21]

Answer:

x = (br + 1)/a

Step-by-step explanation:

Simply divide both sides by <em>a</em> to get our answer.

6 0
2 years ago
Can you please help with fractions
schepotkina [342]
The answer to number one is 728
8 0
3 years ago
Describe how to transform the graph of f into the graph of g. (1 point)<br> f(x) = x4 and g(x) = -x4
MrRissso [65]
F(x) → -f(x)

Reflected across the x-axis.
Look at the picture.

5 0
3 years ago
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