Step-by-step explanation:
Answer:
1/6
Step-by-step explanation:
We want to find how long it takes for the bacteria to lose half its size. We can do this by taking one point of the bacteria and finding how long it takes to go to half its size. When t=0, 9300 * (1/64)^t = 9300 * 1 = 9300 as anything to the power of 0 is 1. Therefore, we can solve for t when the end result of the bacteria is 9300/2= 4650, making our equation
4650 = 9300 * (1/64)^t
divide both sides by 9300
1/2 = (1/64)^t
First, we can tell that 2^6 = 64*. Because of this, we can say that (1/2)^6 = 1^6/2^6 = 1/64, so (1/64)^(1/6) = 1/2. We know this because
(1/2)^6 = 64
take the 6th root of both sides
(1/2) = (64)^(1/6)
. This means that t=1/6, so the bacterial culture loses 1/2 of its size every 1/6 seconds
* if this is harder to figure out, e.g. 3 and 729, we can plug (log₃729) into a calculator
Answer:
Option D is the correct option
Step-by-step explanation:
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{ w ÷ 1 = w , So, I wrote 8 × w }
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Apply cross product property
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Move 15w to left hand side and change it's sign
Similarly, Move 35 to right hand side and change it's sign
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Collect like terms
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Divide both sides of the equation by -7
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Calculate
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Hope I helped!
Best regards!!
Answer:
4.5
Step-by-step explanation:
divide all the equation
look for the lowest common factor which is 2
then multiply out numerators
Answer:
Step-by-step explanation:
first convert 2 1/4 into improper fraction
9/4 into percent=2.25percent is the answer
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