Answer:
1) 2^9 = 512
2) 2^(3t) = 2^6 for t=2
Step-by-step explanation:
1) An exponent is used to signify repeated multiplication. Here, the factor 2 is repeated 9 times, so the expression can be written using an exponent as ...
2^9
Using any of a variety of means, the value of this expression can be found to be ...
2^9 = 512
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2) Assuming the bacteria reproduce by multiplying by some factor in a given time, we can divide the original expression into 3 parts:
(2×2×2) × (2×2×2) × (2×2×2)
If this represents the number after 3 hours, then the number after 2 hours is expected to be ...
(2×2×2) × (2×2×2) = 2^6
That is, there will be (2 h)/(3 h) = 2/3 times as many multiplications by a factor of 2. (2/3)(9) = 6 will be the exponent for the number after 2 hours.
Answer:
x = -1
let me know if you need an explanation.
Answer:
131
Step-by-step explanation:
There are only 2 different size angles in a parallel line system like this one.
One angle = 49 (that was given to you.
The other angle size is 180 - 49 = 131
Now you could go through all the reasons that x = 131, but the simplest one is that it is an obtuse angle ( its greater than 90) so the answer must be greater than 90.