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Yakvenalex [24]
3 years ago
15

The dash unit of length is metre ​

Mathematics
1 answer:
Ugo [173]3 years ago
4 0

Answer:

Units of Length

10 millimeters (mm) = 1 centimeter (cm)

10 decimeters = 1 meter (m)

10 decimeters = 1000 millimeters

10 meters = 1 dekameter (dam)

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Derivative of<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7B3x%7D%5E%7B2%7D%20-%202x%20-%201%20%7D%7B%20%7Bx%7D%5E%7B2
Anastaziya [24]

Answer:

\displaystyle  \frac{dy}{dx} =    \frac{2x + 2}{x^3}

Step-by-step explanation:

we would like to figure out the derivative of the following:

\displaystyle  \frac{ { 3x }^{2} - 2x - 1 }{ {x}^{2} }

to do so, let,

\displaystyle y =  \frac{ { 3x }^{2} - 2x - 1 }{ {x}^{2} }

By simplifying we acquire:

\displaystyle y =  3 -  \frac{2}{x}  -  \frac{1}{ {x}^{2} }

use law of exponent which yields:

\displaystyle y =  3 -  2 {x}^{ - 1}  -   { {x}^{  - 2} }

take derivative in both sides:

\displaystyle  \frac{dy}{dx} =  \frac{d}{dx}  (3 -  2 {x}^{ - 1}  -   { {x}^{  - 2} } )

use sum derivation rule which yields:

\rm\displaystyle  \frac{dy}{dx} =  \frac{d}{dx}  3 -   \frac{d}{dx} 2 {x}^{ - 1}  -     \frac{d}{dx} {x}^{  - 2}

By constant derivation we acquire:

\rm\displaystyle  \frac{dy}{dx} =  0 -   \frac{d}{dx} 2 {x}^{ - 1}  -     \frac{d}{dx} {x}^{  - 2}

use exponent rule of derivation which yields:

\rm\displaystyle  \frac{dy}{dx} =  0 -   ( - 2 {x}^{ - 1 -1} ) -     ( - 2 {x}^{  - 2 - 1} )

simplify exponent:

\rm\displaystyle  \frac{dy}{dx} =  0 -   ( - 2 {x}^{ -2} ) -     ( - 2 {x}^{  - 3} )

two negatives make positive so,

\displaystyle  \frac{dy}{dx} =   2 {x}^{ -2} +      2 {x}^{  - 3}

<h3>further simplification if needed:</h3>

by law of exponent we acquire:

\displaystyle  \frac{dy}{dx} =   \frac{2 }{x^2}+       \frac{2}{x^3}

simplify addition:

\displaystyle  \frac{dy}{dx} =    \frac{2x + 2}{x^3}

and we are done!

5 0
3 years ago
A real estate agent needs to estimate the average value of a residential property of a given size in a certain area. The real es
alexira [117]

Answer:

Follows are the solution to this question:

Step-by-step explanation:

95 \% \ the confidence level for z:

\alpha = 1 - 95 \% \\\\

   = 1 - 0.95 \\\\        = 0.05

\to \frac{\alpha}{2} = \frac{0.05}{2} = 0.025\\\\\\to Z \  \frac{\alpha}{2} = Z_{0.025} = 1.96

Calculating the Margin of error:

E =   Z\  \frac{\alpha}{2}  \times ( \frac{\sigma}{\sqrt{n}})

   = 1.96 \times ( \frac{5000}{\sqrt{\sqrt{100}}})\\\\= 980

The population means estimate a 95 % confidence interval is:

\to \bar{x} \frac{+}{-} E\\\\ = \$ 90000 \frac{+}{-} 980

5 0
3 years ago
4+5+8/2x9=????????????
Zolol [24]

45. Using order of operations.

5 0
4 years ago
Read 2 more answers
Is 3/9 a function of y Equals 6X
sdas [7]

Answer:

yes

Step-by-step explanation:

well plug it in: y=6x -> y=6(3/9) and solve, yes if theres a slope of 1

5 0
3 years ago
PLEASE HELP ME I REALLY NEED THIS
vichka [17]

Answer:

It is either a or b. since 8-2 does not equal 14, and 8+2 does not equal 14. I think it is most likely to be a though.

Step-by-step explanation:

3 0
3 years ago
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