If you know the value of each resistor, you can calculate it... Now electronics was a long time ago for me, but I'm sure I'll be corrected if I'm wrong
First you need to know the total resistance, which you can get by adding up the resistance of all the resistors. Let's say each resistor was 15 ohms, the total would be 8 x 15 = 120 ohms. If you don't know the values, see if you can borrow an ohm meter and measure the resistance through the dew heater.
Divide the total resistance into 12 (volts) to get the total current... 12 / 120 = .100, or 100 milliamps.
Divide that into your Amp-Hours rating to get the number of hours your battery can sustain that current. Let's assume you have a 7AH (Amp Hour) battery... 7 / .100 = 70 hours.
You can also calculate the power your resistors put out by multiplying your current by 12 (volts), in this case .1 * 12 = 1.2 Watts.
Hope that helps rather than confuses...