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Anna [14]
3 years ago
7

Which is the best estimate for (8.9 x 10^8)/(3.3 x 10^4) written in scientific notation?

Mathematics
2 answers:
alexira [117]3 years ago
6 0

Answer:

3*10^4

Step-by-step explanation:

8.9/3.3 is about 3. 10^8/10^4 is 10^4.

Thus, the answer is about 3*10^4.

MrMuchimi3 years ago
4 0

Answer: C: 3 X 10^4

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left decimal. The number of decimal places you move will be the exponent on the 10. The sign of the exponent will depend on the direction you are moving the decimal. 2.69 (line over .69), therefore, round you get 3. = 3 x 10^4

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Wich expression is equivelint-3/4 divided by -8/12
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\text{Goal: Find } x \text{ such that:} \\ 2^x > 4x + 12

2^x > 4x + 12 \\ 2^x > 4(x + 3) \\ 2^{x - 2} > x + 3

\text{A lemma: } \\ \text{It is given that: } \\ 2^n > 2n + 1, \text{ } n > 3
\text{This can be proven by Mathematical Induction.}
\text{Using this lemma, we can manipulate the expression:} \\ 2^{x - 2} > 2(x - 2) + 1 = 2x - 3, \text{ } x > 5 \\ 2\cdot 2^{x - 2} > 2(2x - 3) \\ 2^{x - 1} > 4x - 12 \\ 2^{x - 1} + 24 > 4x + 12

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