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3 years ago

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Four classmates were asked to decorate a bulletin board in the classroom 3/5 of the board was already covered so then divided th

e section to be decorated equally among before class makes what fraction of the entire bulletin board did each classmate decorate?

1 answer:

Iteru [2.4K]3 years ago

5 0

Answer:

I think the answer might be 15/100

But im not sure it might be wrong sorry :(

Step-by-step explanation:

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Evaluate the integral. W (x2 y2) dx dy dz; W is the pyramid with top vertex at (0, 0, 1) and base vertices at (0, 0, 0), (1, 0,

In-s [12.5K]

Answer:

$\mathbf{\iiint_W (x^2+y^2) \ dx \ dy \ dz = \dfrac{2}{15}}$

Step-by-step explanation:

Given that:

$\iiint_W (x^2+y^2) \ dx \ dy \ dz$

where;

the top vertex = (0,0,1) and the base vertices at (0, 0, 0), (1, 0, 0), (0, 1, 0), and (1, 1, 0)

As such , the region of the bounds of the pyramid is: (0 ≤ x ≤ 1-z, 0 ≤ y ≤ 1-z, 0 ≤ z ≤ 1)

$\iiint_W (x^2+y^2) \ dx \ dy \ dz = \int ^1_0 \int ^{1-z}_0 \int ^{1-z}_0 (x^2+y^2) \ dx \ dy \ dz$

$\iiint_W (x^2+y^2) \ dx \ dy \ dz = \int ^1_0 \int ^{1-z}_0 ( \dfrac{(1-z)^3}{3}+ (1-z)y^2) dy \ dz$

$\iiint_W (x^2+y^2) \ dx \ dy \ dz = \int ^1_0 \ dz \ ( \dfrac{(1-z)^3}{3} \ y + \dfrac {(1-z)y^3)}{3}] ^{1-x}_{0}$

$\iiint_W (x^2+y^2) \ dx \ dy \ dz = \int ^1_0 \ dz \ ( \dfrac{(1-z)^4}{3}+ \dfrac{(1-z)^4}{3}) \ dz$

$\iiint_W (x^2+y^2) \ dx \ dy \ dz =\dfrac{2}{3} \int^1_0 (1-z)^4 \ dz$

$\iiint_W (x^2+y^2) \ dx \ dy \ dz =- \dfrac{2}{15}(1-z)^5|^1_0$

$\mathbf{\iiint_W (x^2+y^2) \ dx \ dy \ dz = \dfrac{2}{15}}$

7 0

3 years ago

A population has a mean of 40 and a standard deviation of 15. a sample of size 100 is taken at random from this population. the

krok68 [10]

Theirs alot of people in this world so watch out.

3 0

3 years ago

Topic : Geometry <br> Can someone tell me what Conic sections is in 4-8 sentences ?

krok68 [10]

Conic section (or simply conic) is a curve obtained as the intersection of the surface of a cone with a plane. The three types of conic section are the hyperbola, the parabola, and the ellipse. The circle is a special case of the ellipse, previously called the fourth type. Planes that pass through the vertex of the cone will intersect the cone in a point, a line or a pair of intersecting lines, called degenerate conics.

3 0

2 years ago

What’s the slope intercept form of (2,5) and (0,1)

Travka [436]

Answer:

y=2x+1

Step-by-step explanation:

First you have to find the slope:

5-1/2 so 4/2 or 2

Then you write it in point-slope: (I used the point (0,1))

y-1=2x

Simplify than:

y=2x+1

8 0

3 years ago

Please help me, this is due in 2 hours and I need this done plz.

bija089 [108]

Answer:

It's probably it

Step-by-step explanation:

A = (-4, -2)

B = (1, 6)

Imagine a new point (C) where they intersect (1, -2)

Now we can form a triangle, the distance between A and B will be the hypotenuse.

h² = 5² + 8²

h² = 25 + 64

h² = 89

h = $\sqrt{89}$

h = ~9.43...

h = 9

5 0

2 years ago