What is the value of this expression? (−4)^4?

TEA [102]

Answer: 13.722 km ; or, write as: 13 13/18 km .
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Explanation:
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Area = Length * width ;
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or, write as: A = L * w ;
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Given: A = 247 km² ;

L = 18 km ;

w = "y" ;
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Find: "y"
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A = L * w ;
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Plug in our values:
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247 km² = 18 km * "y" ; solve for "y" (in units of "km") ;

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18 y = 247 ;
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Divide each side of the equation by "18"; to isolate "y" on one side of the equation; and to solve for "y" :
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18 y / 18 = 247 / 18 ;
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to get:
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y = 13.7222222222222222...... km ; round to: 13.722 km

or; y = 13 13/18 km .
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3 0

3 years ago

You have to answer one of these questions

son4ous [18]

Answer:

2. kaiden (mine lol >:) ) and least would be micah

4 0

3 years ago

Read 2 more answers

The total surface area of a closed cylinder is

Degger [83]

The maximum volume of the cylinder is 27147.355 at the maximum point $r = \frac{50}{\sqrt{3} }$ .

<h3>How do you find the maximum volume of the cylinder?</h3>

The formula for the volume of the cylinder v = $\pi$ $r^{2}$ h, To find the maximum volume of the cylinder we apply the condition of maxima $\frac{\mathrm{d} v}{\mathrm{d} r}$ = 0.

Let r cm be the radius and h cm be the height of the closed cylinder.

Then, Total surface area of the cylinder = $2\pi r(r+h)$

$5000$ = $2\pi r^{2} +2\pi rh$

$h$ = $\frac{5000-2\pi r^{2} }{2\pi rh}$ .............(1)

Volume of the cylinder v = $\pi r^{2} h$

Substitute the value of $h$ in the above equation

$\Rightarrow$ = $\pi r^{2}$ × $\left [ \frac{5000-2\pi r^{2}}{2\pi r} \right ]$

$\Rightarrow$ = $\frac{r}{2}$ × $(5000-2\pi r^{2} )$

$\Rightarrow$ v = $2500r-\pi r^{3}$ ..............(2)

Now, for the maximum volume of the cylinder $\frac{\mathrm{d} v}{\mathrm{d} r}$ = 0

$\Rightarrow$ $\frac{\mathrm{d} (2500r-\pi r^{3})}{\mathrm{d} r} = 0$

$\Rightarrow$ $3\pi r^{2} = 2500$

$\Rightarrow$ $r^{2} = \frac{2500}{3\pi }$

$\Rightarrow$ $r = \frac{50}{\sqrt{3\pi } }$

Volume is maximum for $r = \frac{50}{\sqrt{3\pi } }$

Then, v = $2500r-\pi r^{3}$

$\Rightarrow$ = $2500 \frac{50}{\sqrt{3\pi } } -\pi (\frac{50}{\sqrt{3\pi } } )^{3}$

$\Rightarrow$ = $\frac{125000}{\sqrt{3\pi } } - \frac{125000}{3\sqrt{3\pi } }$

$\Rightarrow$ = $\frac{125000}{\sqrt{3\pi } }$ × $\frac{2}{3}$

$\Rightarrow$ = $\frac{250000}{3\sqrt{3\pi } }$

$\Rightarrow$ v = 27147.355

Hence, The maximum volume of the cylinder is 27147.355 at the maximum point $r = \frac{50}{\sqrt{3} }$ .

To learn more about total surface area and volume of the cylinder from the given link

brainly.com/question/16095729

#SPJ4

3 0

2 years ago

Will guys only notice u for ur looks, is that the first thing they care abt?

yKpoI14uk [10]

yyyyyyyyyyyyyYeeeeeeeeeeESsssss

6 0

3 years ago

Read 2 more answers

a dvd movie originally cost $24.99. its current price is 19.99. what is thr percent of change rounded to the nearest percent

kondaur [170]

Divide 19.99 by 24.99 and you will get .79999 repeating
round it to .8 then subtract it from 1.
1-.8= .2
The percent of change is 20% or 19% without rounding.

6 0

3 years ago