Are sin(x) and e^x linearly independent? justify.

yes they are linearly independent

Step-by-step explanation:

By definition of linear dependence we have if  f(x) and g(x) be 2 functions

if they are linearly dependent then we can write

f(x) = αg(x)...........(i) where α is an arbitrary constant

in our case we can see that the range of sin(x) is only from [-1,+1] while as has range from [0,∞]

thus we cannot find any value of α for which (i) is valid

amount of oatypop that contains the prize = 40%

amount   of oatypop which doesn't contain the prize = (100-40)=60%

probability that hannah will win a prize

    = s +f s +f f s+ff   f s+ff f f s+ infinity.where f= failure,s= success

=   or 60%

probability that hannah only has to buy 3 or less boxes before getting a prize= (s) and ( f s) and (ff s) and (f f f s)

        = = 87.04 %  

step-by-step explanation:

konichiwa~! my name is zalgo and i am here to answer your anime-related question today. more than likely, kirishima would kill izuku, marry mino and kiss momo. all of this would be my opinion by the way. (and i am also a weeb lol)

i hope this you! : d

stay and stay proud! " - zalgo

(and do you think you can mark me as brainliest? i'd greatly appreciate it! arigato~! )