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inessss [21]
3 years ago
14

Marianne tried to drink a slushy as fast as she could. She drank the slushy at a rate of 4.5 milliliters per second. After 17 se

conds 148 5 milliliters of slushy remains
Mathematics
1 answer:
Lesechka [4]3 years ago
4 0

Answer:

225 milliliters

Step-by-step explanation:

Marianne tried to drink a slushy as fast as she could. She drank the slushy at a rate of 4.5 milliliters per second. After 17 seconds 148 5 milliliters of slushy remains. how much slushy was originally in the cup?

let x = slushy originally in the cup

total slushy consumed in 17 seconds = 17 x 4.5 = 76.5 ml

x - 76.5 = 148.5

collect like terms

x = 148.5 + 76.5

x = 225 ml

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4 years ago
What are the fourth roots of 6+6√(3i) ?
Helen [10]

Answer:

Step-by-step explanation:

The genral form of a complex number in rectangular plane is expressed as z = x+iy

In polar coordinate, z =rcos ∅+irsin∅ where;

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∅ is teh argument = arctan y/x

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r = √6²+(6√3)²

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To get the fourth root of the equation, we will use the de moivres theorem; zⁿ = rⁿ(cosn∅+isinn∅)

z^1/4  = 12^1/4(cosπ/12+isinπ/12)

When n = 1;

z1 =  12^1/4(cosπ/3+isinn/3)

z1 = 12^1/4cis(π/3)

when n = 2;

z2 = 12^1/4(cos2π/3+isin2π/3)

z2 = 12^1/4cis(2π/3)

when n = 3;

z2 = 12^1/4(cosπ+isinπ)

z2 = 12^1/4cis(π)

when n = 4;

z2 = 12^1/4(cos4π/3+isin4π/3)

z2 = 12^1/4cis(4π/3)

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Answer:

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Step-by-step explanation:

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