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egoroff_w [7]
3 years ago
6

Can someone please help me with question no. 3.2.2

Mathematics
1 answer:
Paul [167]3 years ago
7 0

so the train departed Durban at 18:30 in 24hours format, or namely 6:30pm, and arrived at Kimberly at 14:50 on the next day, namely 2:50pm Thursday.

let's see, from 6:30 to 7pm is 30 minutes

from 7pm to 12am or 00:00 is 5 hours

and from 12am to 2:50 or namely 00:00 to 14:50 is well, 14 hours and 50 minutes

if we add the hours first, that'd be 5 + 14 = 19, and then we add the minutes that'd be 30 + 50 = 80 minutes, so that'd be a total of 19 hours and 80 minutes, wait a second!!!, 80 minutes is really 60 + 20, or 1 hour and 20 minutes, so that'd make it 19 hours plus 1 hour and 20 minutes, 20 hours and 20 minutes.

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Which is equivalent to V180x11 after it has been simplified completely?
inna [77]

Question:

Which is equivalent to \sqrt{180x^{11}} after it has been simplified completely?

Answer:

\sqrt{180x^{11}} = 6x^{5}\sqrt{5x}

Step-by-step explanation:

Given

\sqrt{180x^{11}}

Required

Simplify

We start by splitting the square root

\sqrt{180x^{11}} = \sqrt{180} * \sqrt{x^{11}}

Replace 180 with 36 * 5

\sqrt{180x^{11}} = \sqrt{36 * 5} *  \sqrt{x^{11}}

Further split the square roots

\sqrt{180x^{11}} = \sqrt{36} *\sqrt{5} *  \sqrt{x^{11}}

\sqrt{180x^{11}} = 6*\sqrt{5} *  \sqrt{x^{11}}

Replace power of x; 11 with 10 + 1

\sqrt{180x^{11}} = 6*\sqrt{5} *  \sqrt{x^{10 + 1}}

From laws of indices; a^{m+n} = a^m * a^n

So, we have

\sqrt{180x^{11}} = 6*\sqrt{5} *  \sqrt{x^{10} * x^1}

\sqrt{180x^{11}} = 6*\sqrt{5} *  \sqrt{x^{10} * x}

Further split the square roots

\sqrt{180x^{11}} = 6*\sqrt{5} *  \sqrt{x^{10}} * \sqrt{x}

From laws of indices; \sqrt{a} = a^{\frac{1}{2}}

So, we have

\sqrt{180x^{11}} = 6*\sqrt{5} *  x^{10*\frac{1}{2}} * \sqrt{x}

\sqrt{180x^{11}} = 6*\sqrt{5} *  x^{\frac{10}{2}} * \sqrt{x}

\sqrt{180x^{11}} = 6*\sqrt{5} *  x^{5} * \sqrt{x}

Rearrange Expression

\sqrt{180x^{11}} = 6 *  x^{5} * \sqrt{5} * \sqrt{x}

\sqrt{180x^{11}} = 6x^{5} * \sqrt{5} * \sqrt{x}

From laws of indices; \sqrt{a} *\sqrt{b} = \sqrt{a*b} = \sqrt{ab}

So, we have

\sqrt{180x^{11}} = 6x^{5} * \sqrt{5*x}

\sqrt{180x^{11}} = 6x^{5} * \sqrt{5x}

\sqrt{180x^{11}} = 6x^{5}\sqrt{5x}

<em>The expression can no longer be simplified</em>

Hence, \sqrt{180x^{11}} is equivalent to 6x^{5}\sqrt{5x}

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What is the sum? 3k/k^2+k-7/4K
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Answer:

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Step-by-step explanation:

A suitable common denominator is 4k^2. (This eliminates the first and last choices.)

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2x + 1 = 4x +1
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Answer:70

Step-by-step explanation:

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Which is a factor of x2 – 9x + 14?
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Answer:

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Step-by-step explanation:

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