Find the location of the center of mass of the earth-moon system relative to the center of earth.

4765 Km

Explanation:

The center of mass for a two point system is given by the formula:

CM=  (mass  earth x distance of cm to centre of earth +  mass moon x distance of cm to moon ) / mass earth + mass moon

mass earth:  5.97 x 10^24 Kg

mass moon:  7.35 x 10^22 Kg

distance earth-moon = 384,400 Km : 3.84 x 10^6 m

The center of mass will be located between the line distance joining the earth moon but since we are told to calculate relative to the center of earth ,the distance from earth to the center of mass is cero making our calculations easier.

CM = (5.97 x 10 ^24 x 0 + 7.35 x 10 ^22 x 3.84 x 10 ^6 )/ (5.97 x 10^24 + 7.35 x 10^22)

CM=  7.35 x 10 ^22 x 3.84 x 10 ^6/ ( 6.04 x 10 ^24) m  =  4.765 x 10 ^6 m = 4765 Km

sleep paralysis is a parasomnia, events associated with sleep.

sleep paralysis happens when you are in the middle of waking up or falling asleep. it is the feeling of being conscious but unable to move. it definitely involves hallucinations.

i had a friend that had sleep paralysis and he told me a story one time where he was laying in bed and he couldn't move his body no matter how hard he tried and there was someone standing in the corner of his room coming towards him. he couldn't move and you can't "wake up" because you are already conscious. sometimes sleep paralysis can be triggered by frequent waking up during the night based off of multiple trips to the bathroom, or if you had ever been abused, sleep paralysis can start happening from things like that.

a longitudinal wave moves energy that is to the direction of the wave’s movement. - true