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Arada [10]
3 years ago
14

A scientist is studying a form of bacteria that doubles every hour. if the petri dish starts with 2 grams of bacteria

Mathematics
2 answers:
Oliga [24]3 years ago
8 0

Answer:

D) -y=2*2^x

Hope this helps :)

strojnjashka [21]3 years ago
3 0

Answer:

b = 2x²

Step-by-step explanation:

Let the number of bacteria = x

Every hour, the number of bacteria doubles itself, = x * x = x²

But the bacteria started with 2g,

The number of bacteria present is equal to

2 * x² = 2x².

At every hour, the growth of the bacteria is at 2x²

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Answer:

x=-16

Step-by-step explanation:

6x+12=4x-20

2x=-32

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In this case, there could be 0, 1, 2, 3, 4, or all 5 cards discarded. There is only one possible combination each for 0 or 5 cards being discarded (either none of them or all of them). We will be the above equation to find the number of combination s for 1, 2, 3, and 4 discarded cards.

5!/((5-1)!1!) = 5!/(4!*1!) = (5*4*3*2*1)/(4*3*2*1*1) = 5

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5!/((5-3)!3!) = 5!/(2!3!) = (5*4*3*2*1)/(2*1*3*2*1) = 10

5!/((5-4)!4!) = 5!/(1!4!) = (5*4*3*2*1)/(1*4*3*2*1) = 5

Notice that discarding 1 or discarding 4 have the same number of combinations, as do discarding 2 or 3. This is being they are inverses of each other. That is, if we discard 2 cards there will be 3 left, or if we discard 3 there will be 2 left.

Now we add together the combinations

1 + 5 + 10 + 10 + 5 + 1 = 32 choices combinations to discard.

The answer is 32.

-------------------------------

Note: There is also an equation for permutations which is:

n!/(n-r)!

Notice it is very similar to combinations. The only difference is that a permutation is an ORDERED arrangement while a combination is UNORDERED.

We used combinations rather than permutations because the order of the cards does not matter in this case. For example, we could discard the ace of spades followed by the jack of diamonds, or we could discard the jack or diamonds followed by the ace of spades. These two instances are the same combination of cards but a different permutation. We do not care about the order.

I hope this helps! If you have any questions, let me know :)








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