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Vinil7 [7]
3 years ago
12

Element X is a radioactive isotope such that every 26 years, its mass decreases by half. Given that the initial mass of a sample

of Element X is 390 grams, how long would it be until the mass of the sample reached 260 grams, to the nearest tenth of a year?​
Mathematics
1 answer:
SSSSS [86.1K]3 years ago
8 0

Answer:

It will take 15.029 years for element X to reach mass of 260 grams

Step-by-step explanation:

The half life period of radioactive element X is 26 years

The initial mass of radioactive element X is 260 grams

Elapsed time = half life * log (beginning amount /ending amount)/log 2

Substituting the given values, we get

Elapsed time = 26 * log (390/260)/log 2

=  15.209 years

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Deluxe River Cruises operates a fleet of river vessels. The fleet has two types of vessels: A type-A vessel has 60 deluxe cabins
bixtya [17]

Answer: It should be used 2 for type-A and 3 for type-B to minimize the cost.

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160x + 120y ≤ 680

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Isolating x from the first equation:

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Substituing x into the second equation:

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With y, find x:

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To determine the cost:

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8 0
3 years ago
A model Nasar race car lists 79.99 with a trade discount of 40% . What is the net price of the car?
slava [35]

Hello!

79.99 equals 100%, or in other words, 79.99 = 1.

To find the net price, you'll need to find the discount, multiplying the total by 40% (or 0.4):

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Now, just subtract the initial price by the discount:

\mathrm{79.99-31.99\approxeq 48}

So, the net price of the car is approximately 48.00.

Hope this helps!

7 0
3 years ago
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