This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 4 gives the next term. In other words:
an = a1 * r ^ (n-1)
Now, knowing that a1 = 2, and r = 4
We check
a2 = 2 * 4 ^ (2-1) = 2 * (4 ^ 1) = 8
a3 = 2 * 4 ^ (3-1) = 2 * (4 ^ 2) = 32
a4 = 2 * 4 ^ (4-1) = 2 * (4 ^ 3) = 128
Therefore, this is the geometric function that this sequence fulfills.
Answer:
vol = 96
Step-by-step explanation:
Area of a triangle = 1/2 * b * h
b = 4
h = 6
A = 0.5 * 4 * 6
A = 12
length = 8
vol = Area * length
vol = 12 * 8
vol = 96
Answer: x = 4
<u>Step-by-step explanation:</u>
6ˣ = 1296
6ˣ = 6⁴
Since they have the same base, set the exponents equal to each other:
x = 4
Answer:
3. The number of students that rode on each bus
Step-by-step explanation:
The equation they give us is:
2b + 6 = 70
The question already tells us that in this equation:
2 is the 2 buses that the school hired
6 is the 6 leftover kids who couldn't fit on the 2 buses
The question also tells us that the 2 buses only have a total of 64 seats, so 32 seats on 1 bus (64/2 = 32).
So that means b would equal the 32 seats on 1 bus, or the number of students that rode on each bus.
Hope it helps (●'◡'●)
Answer:
Its option A
Step-by-step explanation:
P=2l+2w
P=2(l+w)
P/2=l+w
P/2-l=w
(P-2l)/2=w