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Ugo [173]
1 year ago
8

Simplify the following expression (m3)÷m18

Mathematics
1 answer:
faust18 [17]1 year ago
5 0

Answer:

\boxed{ \bold{ \frac{1}{ {a}^{15} } }}

Step-by-step explanation:

({m}^{3} ) \:  \div  \:  {m}^{18}

  • We remove unnecessary parentheses.

{m}^{3}  \:  \div  \:  {m}^{18}

  • We calculate the quotient (it is negative).

{m}^{ - 15}

  • We transform the term into positive with this expression:

\boxed{ \boxed{{a}^{ - n}  \:  =  \:  \frac{1}{ {a}^{n} } }}

______________________

<h3>We apply the expression: </h3>

\boxed{ \bold{ \frac{1}{ {a}^{15} } }}

<h3><em><u>MissSpanish</u></em></h3>
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A forestry company hopes to generate credits from the carbon sequestered in its plantations.The equation describing the forest w
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Answer:

Explanation:

Given:

The equation describing the forest wood biomass per hectare as a function of plantation age t is:

y(t) = 5 + 0.005t^2 + 0.024t^3 − 0.0045t^4

The equation that describes the annual growth in wood biomass is:

y ′ (t) = 0.01t + 0.072t^2 - 0.018t^3

To find:

a) The year the annual growth achieved its highest possible value

b) when does y ′ (t) achieve its highest value?

a)

To determine the year the highest possible value was achieved, we will set the derivative y'(t) to zero. The values of t will be substituted into the second derivative to get the highest value

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SInce t = 4.13, gives y ′' (t) = -0.316 (< 0). This makes it the maximum value of t

The year the annual growth achieved its highest possible value to the nearest whole number will be

year 4

b) y ′ (t) will achieve its highest value, when we substitute the value of t that gives into the initial function.

Initial function: y(t) = 5 + 0.005t^2 + 0.024t^3 − 0.0045t^4

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6 0
1 year ago
Please answer this correct answer now fast
lutik1710 [3]

Answer:

WX = 8 mm

Step-by-step explanation:

To be able to solve for WX, we need to first find the size of angle \angle z.

We use the law of sines in the blue triangle to do such:

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sin(z)=\frac{opposite}{hypotenuse} \\sin(z)=\frac{WX}{20}\\0.4022=\frac{WX}{20}\\WX=20\,(0.4022)\\WX=8.044\,\,mm

which rounded to the nearest integer gives

WX = 8 mm

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Answer:

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