Abacteria culture begins with 4 bacteria which double in size every hour. how many bacteria exist in the culture after 8 hours.

1024

Step-by-step explanation:

There are 4 bacteria at the start. We can make an equation to represent the phenomena explained in the question.

As it is written in the question that the bacteria culture doubles in every hour.

So,

Let t represent the unit of time

So the number of bacteria after t unit of time will be  

Number of bacteria after t unit of time=4*2^t

We have to calculate number of bacteria after 8 hours, so t = 8

Number of bacteria after 8 hours=4*2^8

=4*256

=1024

So the bacteria after 8 hours in the culture will be 1024..

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this

damm bro the struggle

step-by-step explanation: