Answer:
Hence it will take 35hours
Step-by-step explanation:
Let the time it took to dig hole be x
Ley the number of holes be n
Using the relationship x = kn (direct relationship)
if it takes 3 men 5 hours to dig 12 holes, hence;
when x = 5, n = 12
k = x/n
k = 5/12
To get how many hours it take for 3 men to dig 84 holes, then;
when n = 84, x = ?
x = 5/12 * 84
x = 5 * 7
x = 35hours
Hence it will take 35hours
Answer:
carmaaaa
Step-by-step explanation:
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(a) See the attached sketch. Each shell will have a radius <em>y</em> chosen from the interval [2, 4], a height of <em>x</em> = 2/<em>y</em>, and thickness ∆<em>y</em>. For infinitely many shells, we have ∆<em>y</em> converging to 0, and each super-thin shell contributes an infinitesimal volume of
2<em>π</em> (radius)² (height) = 4<em>πy</em>
Then the volume of the solid is obtained by integrating over [2, 4]:

(b) See the other attached sketch. (The text is a bit cluttered, but hopefully you'll understand what is drawn.) Each shell has a radius 9 - <em>x</em> (this is the distance between a given <em>x</em> value in the orange shaded region to the axis of revolution) and a height of 8 - <em>x</em> ³ (and this is the distance between the line <em>y</em> = 8 and the curve <em>y</em> = <em>x</em> ³). Then each shell has a volume of
2<em>π</em> (9 - <em>x</em>)² (8 - <em>x</em> ³) = 2<em>π</em> (648 - 144<em>x</em> + 8<em>x</em> ² - 81<em>x</em> ³ + 18<em>x</em> ⁴ - <em>x</em> ⁵)
so that the overall volume of the solid would be

I leave the details of integrating to you.
Drown scored 95
I'm not sure about this but I think it's right
5x-2y=3
-5x+4y=9
2y= 12
divide it by 2
y= 6
put y in any equation
5x-2 (6)=3
5x-12=3
5x= 3+12=15
divide by 5
x=3
y= 6