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3 years ago

Im Stuck on this question

Mathematics

1 answer:

12345 [234]3 years ago

8 0

Answer:

(1.989×10^27 kg) × (10^6 mg/kg) = 1.989×10^33 mg

(1.989×10^33 mg) × (10^-6 kg/mg) = 1.989×10^27 kg

Step-by-step explanation:

"kilo-" and "milli-" are SI prefixes for the mass unit "gram". Respectively, they mean 10^3 and 10^-3 of the unit whose name they're attached to.

So, 1 kg = 1000 g, and 1 mg = 0.001 g. Hence 1 kg = 10^6 mg.

Using this fact, we can express the mass of Jupiter as ...

1.989×10^27 kg = (1.989×10^27)(10^6 mg) = 1.989×10^33 mg

We can multiply the above kg/mg relation by 10^-6 and get ...

10^-6 kg = 1 mg

Then we can express the mass of Jupiter as ...

1.989×10^33 mg = (1.989×10^33)(10^-6 kg) = 1.989×10^27 kg

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Step-by-step explanation:

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4 years ago

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Anni [7]

Answer:

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Step-by-step explanation:

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4 years ago

The average cost per unit for the production of a certain brand of DVD is given by C=\frac{500+60c+0.01x^2}{x} , where x is the

Ganezh [65]

Answer:

A: for 500: 66; for 60: 68.9; for 100: 66

B: no

Step-by-step explanation:

We assume your average cost function is ...

$\overline{C}=\dfrac{0.01x^2+60x+500}{x}$

A. The overline over the C indicates it is an average value.

Evaluating the cost function at the different production levels, we find the average cost per unit to be ...

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60 units

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100 units

c = ((0.01·100 +60)·100 +500)/100 = 61 +5 = 66

B. Dividing out the fraction, we find that the cost per unit is ...

0.01x +60 +500/x

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4 years ago