If one load of laundry through a hotel service

Mathematics

2 answers:

Cloud [144]2 years ago

5 0

Answer:

$$184.44

Step-by-step explanation:

Elena-2011 [213]2 years ago

4 0

Answer:

$184.44

Step-by-step explanation:

If one load cost $15.37 and you have to do 12 loads then it would be 15.37 for each load so you would do $15.37 times 12 loads and you would have spent $184.44.

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The base of a solid in the region bounded by the two parabolas y2 = 8x and x2 = 8y. Cross sections of the solid perpendicular to

Usimov [2.4K]

The two curves intersect at two points, (0, 0) and (8, 8):

$x^2=8y\implies y=\dfrac{x^2}8$

$y^2=\dfrac{x^4}{64}=8x\implies\dfrac{x^4}{64}-8x=0\implies\dfrac{x(x-8)(x^2+8x+64)}{64}=0$

$\implies x=0,x=8\implies y=0,y=8$

The area of a semicircle with diameter $d$ is $\dfrac{\pi d^2}8$ . The diameter of each cross-section is determined by the vertical distance between the two curves for any given value of $x$ between 0 and 8. Over this interval, $y^2=8x\implies y=\sqrt{8x}$ and $\sqrt{8x}>\dfrac{x^2}8$ , so the volume of this solid is given by the integral