Answer:
A because its supposed to be on the y axis
Answer: Noah's mixture would be more flavorful and fizzy because his ratio of water and fizz powder aren't to off (not a large ratio gap). Andre's orange fizz would be a little more watered down making it less fizzy and less flavorful because 8 cups were added instead of 6 or 7 cups of water. Also Noah would have less drink made them Andre because he only used 6 cups of water.
Step-by-step explanation:
it had to be b cuz now all quadrilateral have straight sides
• 4w -6 = -2
+6 +6
4w= 4
— —
4 4
w=1
• 4w - 6 = 2
+6 +6
4w =8
— —
4 4
w=2
Step-by-step explanation:
that is
sum(2^r) for r=1 to n, plus sum(1/2) for r=1 to n.
and that is
sum(2^r) + n/2 for r=1 to n.
2^r is a geometric sequence with 2 being the common ratio (every new term is created by multiplying the previous term by 2).
and since r is starting at 1, the first term a1 = 2.
the formula for the sum of a finite geometric sequence is
Sn = a1×(1 - r^n) / (1 - r)
with r being the common ratio .
so, in our case
Sn = 2×(1 - 2^n) / (1 - 2)
Sn = (2 - 2^(n+1)) / -1 = 2^(n+1) - 2
and so, in total we get
2^(n+1) - 2 + n/2 = 2^(n+1) + (n - 4)/2
