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#34985

applications

exponential

hard

100 sec

The number of bacteria, $N$ , in a culture is modeled by the equation $N = 500 (2)^{d}$ , where $d$ is the number of days since the start of the experiment. If the number of bacteria can also be modeled by $N = 500 (b)^{h}$ , where $h$ is the number of hours since the start of the experiment, what is the value of $b$ to the nearest thousandth?

• Up to 5 characters (6 if negative). Only numbers, decimal (.), fraction (/), negative (-).
• Fractions must be in lowest terms.
• Mixed numbers must be converted to improper fractions.