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valina [46]
3 years ago
6

A lab is growing bacteria in a culture dish. the amount of bacteria in the dish doubles every 3 hours. initially, there are 500

bacteria in the dish. how many are in the dish after 9 hours
a. 4,500 bacteria
b. 4,000 bacteria
c. 1,500 bacteria
d. 13,500 bacteria
Mathematics
1 answer:
Leni [432]3 years ago
3 0
Answer is option C.
I hope it is correct
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We'll use the following properties of sine and cosine to prove this:

sin(a)\cdot sin(b) = \frac12(cos(a-b) - cos(a+b))

cos(a)\cdot cos(b) = \frac12(cos(a+b) + cos(a-b))

cos(180+a) = cos(180-a)

Then it's just a matter of filling it in...

sin20sin40 * sin60sin80 = 1/2(cos20 - cos60) * 1/2 (cos20 - cos140) =

1/8( cos40 + 1 - cos160 - cos120 - cos40 - cos80 + cos80 + cos200) =

1/8(1 -  cos160 - cos120 + cos200) =

1/8(1 -  cos160 - cos120 + cos160) =

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Answer:

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Step-by-step explanation:

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FromTheMoon [43]

Answer:

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