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ollegr [7]
3 years ago
6

1. Cadence has a collection of 52 dolls that all have either blue-eyes or green-eyes.

Mathematics
2 answers:
V125BC [204]3 years ago
8 0

Answer: 18 green eyed dolls

Step-by-step explanation: I had this question on a quiz and made a 100%!

Varvara68 [4.7K]3 years ago
5 0

Answer:

Cadence has 18 more green eyed dolls

Step-by-step explanation:

1. 52-16=36

2. 36÷2=18

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The second one I believe.

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qwelly [4]

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420

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Find the mass of the triangular region with vertices (0, 0), (3, 0), and (0, 1), with density function ρ(x,y)=x2+y2.
ololo11 [35]

Since density is the ratio of mass to (in this case) area, we can find the mass of the triangular region \mathcal T by computing the double integral of the density function over \mathcal T:

\mathrm{mass}=\displaystyle\iint_{\mathcal T}\rho(x,y)\,\mathrm dx\,\mathrm dy

The boundary of \mathcal T is determined by a set of lines in the x,y plane. One way to describe the region \mathcal T is by the set of points,

\mathcal T=\left\{(x,y)\mid0\le x\le 3\,\land\,0\le y\le1-\dfrac x3\right\}

So the mass is

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=\displaystyle\int_{x=0}^{x=3}\left(x^2y+\frac{y^3}3\right)\bigg|_{y=0}^{y=1-x/3}\,\mathrm dx

=\displaystyle\int_{x=0}^{x=3}\left(x^2\left(1-\frac x3\right)+\frac{\left(1-\frac x3\right)^3}3\right)\,\mathrm dx

=\displaystyle\frac1{81}\int_0^3(27-27x+90x^2-28x^3)\,\mathrm dx=\frac52

6 0
3 years ago
A rectangle is dilated by a scale factor of n = 1. Which statement is true regarding the image of the dilation? O The image will
Paraphin [41]

9514 1404 393

Answer:

  The image will be congruent to the pre-image because n=1

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The image dimensions are the original dimensions multiplied by the scale factor. If the scale factor is 1, the image is the same size as the original, hence congruent to the pre-image.

8 0
2 years ago
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