Captain Picard and the rest of the crew of the Enterprise are defending their position on the moon Yavin IV against the evil robotic Cylon invaders. Each day of the battle, 1500 Cylons arrive at dawn, and throughout the day the crew is able to eliminate 70% of the Cylons on the battlefield. (a) Let Cn be the number of Cylons on the planet at the end of the day on the nth day of the battle. Find C1, C2, and C3. (b) Find an explicit formula for the number of Cylons at the end of the day on the nth day of the battle. (c) In the long run, how many Cylons will be on the planet after a day of battle? (d) If instead the Cylons want to maintain a force of 2000 soldiers, how many should they send each day?

because 1.2 isnt half of 6 duh

the value of v.w= -12.

step-by-step explanation:

we are given three vector r,v and w as:

r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>

we know that r,v and w could also be represented as:

r=5i-5j-2k

v=2i-8j-8k

and w= -2i+6j-5k

where i,j and k are the unit vectors of x,y and z-axis respectively.

also we know that it has the following property:

i.i=1 ; j.j=1; k.k=1

and i.=j.i=i.k=k.i=j.k=k.j=0

i.e. when we multiply two vectors or we find it's dot product we need to only multiply the components of x coordinates with each other; y with each other and z with each other.

hence, v.w= (2i-8j- -2i+6j-5k)

                  = 2×(-2)+(-8)×(6)+(-8)×(-5)

                  = -4-48+40

                  = -12

hence, v.w= -12

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:

if a = 1,   and b = 2, then the answer is 47.99999999. if you round that to the nearest whole number, the answer is 48.