Answer:
The series 64, 16, 4, 1 is convergent.
Step-by-step explanation:
Let be
the set of values of the series. A series is convergent if and only if:
(1)
If we know that
,
,
and
, then the convergence ratio of each pair of consecutive values are, respectively:
,
, 
Hence, the series 64, 16, 4, 1 is convergent.
Answer:
26$
Step-by-step explanation:
10+ (5x3) +1= 26$
Check the picture below.
now, if those two angles are corresponding, that means they're equal, therefore then
5x + 15 = 115
and surely you know what "x" is, and for that value, the angles are corresponding and therefore the lines are parallel.
You would subtract: -8.6-(-12.5) to get 3.9 increase
Answer:
0.5 L
Step-by-step explanation:
volume of bottle: 1.5 L
amount of water = 1.5 L
volume of glass: x
3/4 full is the same as 0.75 full
vol of water in bottle + vol of water in glass = total vol of water
0.75(bottle) + 0.75(glass) = 1.5
0.75(1.5) + 0.75x = 1.5
0.75x = 0.375
x = 0.5