Math 30 points will give brainliest pls

exponential growth is

we need to find a and b

in form (x,y) we have the points

(0,20), (1,30), (2,45)

subsituting we get

, 45=ab^2[/tex]

if we look at the first one

so a=20

if we put that into the 2nd one

, so b=30/20=3/2

so the formula is

at 11 weeks, x=11

so about 1730 at the end of the 11th week

Every week, the population grows by half of its current population:

So, growing by half means to multiply by 1.5. And as you can see, we start with 20. By the end of week 1 we have multiplied by 1.5 once, by the end of week 2 we have multiplied by 1.5 twice, and so on.

So, at the end of the n-th week, we will have multiplied by 1.5 n times, leading to a population of

where p is the population and w is the number of weeks passed.

So, at the end of the 11-th week, the population will be

which is rounded by 1730

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

answer: when you burn wood, the carbon reacts with the oxygen in the air to create ash and smoke. that is a permanent change you cannot undo that.

step-by-step explanation: