If I was outside, jumping in the trampoline for about 45 minutes, actively jumping with little breaks inbetween, then rested, played basketball for 20 minutes actively with no rest, how many calories did I burn, and if I repeat this process for the rest of this week (today is a Wednesday afternoon) how many calories will I burn and what weight will I be by the end of the week? I weight 179 pounds

To calculate the number of calories burned during the jumping and basketball activities, we need to know the MET (Metabolic Equivalent of Task) values for each activity. Jumping on a trampoline has a MET value of around 7.0, while playing basketball actively has a MET value of around 8.0.

First, let's calculate the calories burned for the 45 minutes of jumping on the trampoline:
Calories burned = (MET value * body weight in kg * duration in hours)
= (7.0 * 179 pounds * 0.4536 kg/pound * 0.75 hours)
= 450 calories

Next, let's calculate the calories burned for the 20 minutes of actively playing basketball:
Calories burned = (8.0 * 179 pounds * 0.4536 kg/pound * 0.33 hours)
= 214 calories

Total calories burned in one session = 450 calories + 214 calories = 664 calories

If you repeat this activity for the rest of the week (Saturday), you will burn 664 calories per day. From Wednesday to Saturday, that's 4 days, so you would burn 664 calories * 4 days = 2656 calories in total.

To estimate the weight you will be by the end of the week, we need to consider calorie deficit. Assuming a pound of body weight is approximately equivalent to 3500 calories, you would lose:
Weight loss = (Calorie deficit in a week) / (3500 calories per pound)
= 2656 calories / 3500 calories per pound
= 0.76 pounds

Therefore, by the end of the week, if you continue this activity pattern, you would lose approximately 0.76 pounds.