A particle at the origin is experiencing three forces. The first one has a magnitude of 57 lb and is directed towards (2,-4,5), while the second one has a magnitude of 32 lb and is directed towards (-1,-2,-8). If the net force is 41 lb in the direction of (-5,-1,4), what is the x-component of the third force acting on the particle (in lb)?

Rohit is trying to tune an instrument

You are a sales representative for a company that makes a new alternate fuel for vehicles. you have prepared a presentation for the environmental engineers to sell your new product. what question do you expect the audience to ask regarding whether the new fuel will cause less damage to the environment? a. do we have to change any parts of the vehicle to use this alternate fuel? b. will the vehicles get better fuel mileage with the alternate fuel? c. how much greenhouse gas does your fuel produce compared with current fuel sources? d. is the alternate fuel more expensive than fossil fuel?

Glass has a hardness that is in the middle of the hardness scale. what is the hardness of glass?