Answer:
<u>37.68</u>
Step-by-step explanation:
Circumference = Diameter x pi
Diameter = 12 feet
12 x 3.14 = 37.68
The circumference of the pool is 37.68 feet.
Answer:
a = 5120
b = 1.25
Step-by-step explanation:
Let the exponential function representing the given table is,
f(x) =
Here, f(x) = Number of views
x = Number of weeks
We choose two points from the given table and satisfy the equation of the function.
Let the points are (0, 5120) and (1, 6400)
For a point (0, 5120),
f(0) = a(b)⁰ = 5120
a = 5120
Now for the second point (1, 6400),
6400 = 5120(b)¹
b =
b = 1.25
Therefore, a = 5120 and b = 1.25 are the values.
Answer:
The given series converges and
Step-by-step explanation:
Given is 108, -18, 3,...
It is an alternate series. An alternate series is convergent if:
1. The series is decreasing.
2. If the last term (n-th term) of series converges to 0.
<u>Since each next term is less than its preceding term, so it is decreasing.</u>
First term, a = 108
Second term = -18
Common ratio, r = -18/108 = -1/6
General term, aₙ = a*rⁿ = 108*(-1/6)ⁿ
<u>When n increases to infinity, the exponent term will decreases to zero, and last term (n-th term) will converge to 0 as well.</u>
Hence, the given series converges.
Now limit will be:
Hence,
Answer:
32
Step-by-step explanation: OH NO MY SEXUALITY ITS BROCKEN