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makkiz [27]
4 years ago
14

Simplify m^2 n^-5/m^1 n^-17

Mathematics
1 answer:
Law Incorporation [45]4 years ago
6 0

Answer:

The simplified form is mn^{12}

Step-by-step explanation:

To simplify the expression given we, need to open up all the brackets.

The brackets is open is such a way that the powers are also separated individually.

Now the expression that is given to us is:

Here we will simplify it, as follows:

\frac{m^2 n^{-5}}{m^1 n^{-17}}\\=\frac{mn^{-5}}{n^{-17}}\\

as we know that:

\frac{x^a}{x^b}=x^{a-b}

Now, the expression is simplified as:

\frac{n^{-5}}{n^{-17}}\\=n^{-5-\left(-17\right)}\\=mn^{12}

So this is the required simplified form.

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A fire department's ladder is 110 feet long. A firefighter is trying to reach the top of a 100 foot building by leaning the ladd
Alekssandra [29.7K]

Answer:

sin-¹(10/11)

Step-by-step explanation:

The height of the building is 100 ft and the ladder is 110ft long .We can imagine this situation as a right angled ∆. For figure refer to the attachment .

  • We can use ratio sine here. Let the angle of elevation be theta.

<u>In </u><u>∆</u><u> </u><u>ABC </u><u>:</u><u>-</u><u> </u>

=> sinθ = p/h

=> sinθ = 100ft / 110 ft

=> sinθ = 10/11

=> θ = sin -¹ ( 10/11) .

<h3><u>Hence </u><u>the</u><u> </u><u>angle</u><u> of</u><u> elevation</u><u> </u><u>is </u><u>sin </u><u>-</u><u>¹</u><u> </u><u>(</u><u> </u><u>1</u><u>0</u><u>/</u><u>1</u><u>1</u><u>)</u><u>. </u><u> </u></h3>

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3 years ago
5π 77π<br> 18. 18<br><br> Are they coterminal
andrew-mc [135]

Answer:

Step-by-step explanation:

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3 years ago
Help asap!! There’s a photo
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Answer:

C

Step-by-step explanation:

The vertex form for a parabola is a(x-h)^2 + k, where h is the x coordinate of the vertex and k is the y coordinate. a represents the amount that the graph has been "squeezed". Therefore, since the coordinates of the vertex of this parabola are (2,4), and it is "squeezed" by a factor of 2, the correct answer is C. Hope this helps!

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A triangular garden has an area of 9 square yards which figure could represent the garden
zloy xaker [14]

Answer:

For edginuity the answer is the last one.

Step-by-step explanation :

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Read 2 more answers
Duck #1 lays eggs whose weights are normally distributed with a mean of 70gramsand a standard deviation of 6 grams.Duck #2 lays
Genrish500 [490]

Answer:

26.11% probability that Duck #2’s egg weighs more than Duck #1’s egg

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

If an egg is randomly chosen from each duck, what is the probability that Duck #2’s egg weighs more than Duck #1’s egg?

Duck #2 egg will weigh more if the subtraction of duck's 2 egg by duck's 1 egg is larger than 0.

When we subtract normal distributions, the mean is the subtraction of the means. So

\mu = 65 - 70 = -5

The standard deviation is the square root of the sum of the variances. So

\sigma = \sqrt{6^2+5^2} = \sqrt{61} = 7.81

Now, we have to find 1 subtracted by the pvalue of Z when X = 0. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{0 - (-5)}{7.81}

Z = 0.64

Z = 0.64 has a pvalue of 0.7389

1 - 0.7389 = 0.2611

26.11% probability that Duck #2’s egg weighs more than Duck #1’s egg

4 0
3 years ago
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