750w for about 10 minutes that's approx 70+ amps for 10 minutes
Approx 14 amp hours including inverter losses
TV even with a DVD player is less than 100w unless you have a 60" TV
So about 9 amps
A two hour movie will use about 18 amp hrs, not much at all about 8 percent of battery capacity
The 10 minutes of coffee maker will use more than that, even though it doesn't look like it
I'd not just straight math, it is the many times heavier draw that makes it harder on the battery more than an equal number of amp hours watching TV
But with summer weather, you can probably do it, make coffee in the morning, but don't try it in cool weather after using the RV LP heater at night