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ikadub [295]
1 year ago
6

For the functions f(x) and g(x), determine the domain of (f ∙ g)(x) (the product of f and g).

Mathematics
1 answer:
Luba_88 [7]1 year ago
7 0

Answer: Domain: (-∞, 0) U (0, ∞)

Step-by-step explanation:

\frac{12}{x} *-8x^{3}

=-96x^2

Domain: (-∞, 0) U (0, ∞)

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A sample of radium has a weight of 1.5 mg and a half-life of approximately 6 years.
pogonyaev

Answer:

0.75 mg

Step-by-step explanation:

From the question given above the following data were obtained:

Original amount (N₀) = 1.5 mg

Half-life (t₁/₂) = 6 years

Time (t) = 6 years

Amount remaining (N) =.?

Next, we shall determine the number of half-lives that has elapse. This can be obtained as follow:

Half-life (t₁/₂) = 6 years

Time (t) = 6 years

Number of half-lives (n) =?

n = t / t₁/₂

n = 6/6

n = 1

Finally, we shall determine the amount of the sample remaining after 6 years (i.e 1 half-life) as follow:

Original amount (N₀) = 1.5 mg

Half-life (t₁/₂) = 6 years

Number of half-lives (n) = 1

Amount remaining (N) =.?

N = 1/2ⁿ × N₀

N = 1/2¹ × 1.5

N = 1/2 × 1.5

N = 0.5 × 1.5

N = 0.75 mg

Thus, 0.75 mg of the sample is remaining.

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Answer:

Slope = -3

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