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AfilCa [17]
4 years ago
5

What is the set builder notation of A={1,8,27,64,125}

Mathematics
1 answer:
Alex787 [66]4 years ago
3 0
A=\{1;\ 8;\ 27;\ 64;\ 125\}\\\\1^3=1\\2^3=8\\3^3=27\\4^3=64\\5^3=125\\\\Therefore,\ the\ set\ builder\ notation\ is:\\\boxed{A=\{y\in\mathbb{N}\ |\ y=x^3\ \wedge\ x\in\{1;\ 2;\ 3;\ 4;\ 5\}\}}
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3 years ago
HELP 10PTS AND BRAINLIESTThe image of a triangle after it has been dilated with a center of dilation at the origin has vertices
Gala2k [10]

Answer:

C is (-18, 24)

Scale factor 1 1/3

A is (9, - 4 1/2)  *4 1/2 is also 4.5

Step-by-step explanation:

When we take a look at image B (-24, -12) and pre image B (-18, -9),

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(-24/-18) and (-12/-9) both equal 4/3

So using the scale factor to go from the pre image to the image,

We can find C coordinate by multiplying pre image C by the scale factor.

C is (-13.5 x 4/3) and (18 x 4/3)

C is (-18, 24)

The scale factor is 4/3, which is the mixed numeral of 1 1/3.

To find the pre image of point A we divide the image by the scale factor

A is (12/(4/3)) and (-6/(4/3))

A is (9, - 4 1/2)

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8 0
4 years ago
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4 years ago
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The dimension of the box is 50in by 10in by 15in

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The formula for calculating the volume of the box is expressed as:

V = lwh

where:

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Given the following parameters

length = 5w
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Substiute

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<u>Factorize to determine the width</u>

On factorizing, the width of the box is 10 inches

Recall that:

l = 5w
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l = 50inches

<u>Get the height</u>

h = w + 5
h = 10 + 5
h = 15inches

Hence the dimension of the box is 50in by 10in by 15in

Learn more on volume of box here: brainly.com/question/14957364

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