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3 years ago

PLEASE HELPP!! (10 points)

Mathematics

2 answers:

yulyashka [42]3 years ago

7 0

Answer:

The answer is the 4th option: 0.58

Step-by-step explanation:

Absolute value is how far away that number is from the numberline.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

marishachu [46]3 years ago

5 0

Answer:

D.0.58

Step-by-step explanation:

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The length s(t)s(t)s, (, t, )of the side of the base of a square prism is decreasing at a rate of 777 kilometers per minute and

gavmur [86]

Answer:

$\frac{dA_{s}}{dt} = -148\,\frac{km^{2}}{min}$

Step-by-step explanation:

The surface area of the square prism is obtained by using the following formula:

$A_{s} (t) = 4\cdot l(t)\cdot h(t) + 2\cdot [l(t)]^{2}$

The rate of change of the surface area can be found by deriving the function with respect to time:

$\frac{dA_{s}}{dt} = 4\cdot [h(t)\cdot \frac{dl}{dt} + l(t)\cdot \frac{dh}{dt}] + 2\cdot l(t)\cdot \frac{dl}{dt}$

Known variables are summarized below:

$h(t) = 9\,km$

$l(t) = 4\,km$

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$\frac{dl}{dt} = -7\,\frac{km}{min}$

The rate of change is:

$\frac{dA_{s}}{dt} = 4\cdot [(9\,km)\cdot (-7\,\frac{km}{min} )+(4\,km)\cdot (10\,\frac{km}{min} )] + 2\cdot (4\,km)\cdot (-7\,\frac{km}{min} )$

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