Answer:
h = f(t) = -15cos((π/5)t) +20
Step-by-step explanation:
If you like, you can make a little table of positions:
(t, h) = (0, 5), (5, 35)
Since the wheel is at an extreme position at t=0, a cosine function is an appropriate model:
h = Acos(kt) +C
The amplitude A of the function is half the difference between the t=0 value and the t=5 value:
A = (1/2)(5 -35) = -15
The midline value C is the average of the maximum and minimum:
C = (1/2)(5 + 35) = 20
The factor k satisfies the relation ...
k = 2π/period = 2π/10 = π/5
So, the function can be written as ...
h = f(t) = -15cos((π/5)t) +20
Answer:
25,000,000
Step-by-step explanation:
5*5=25 and add the 6 zeros
please give thanks :)
Answer:
Population in 2013 is 132.76 ≈ 133 million.
Step-by-step explanation:
A country's population in 1990 was 123 million
In 2002 it was 128 million.
We have to calculate the population in 2013.
Since population growth is always represented by exponential function.
It is represented by
Here t is time in years, k is the growth constant, and is initial population.
For year 1990 ⇒
128 = =
taking ln on both the sides ⇒
ln
ln 128 - ln 123 = 12k [since ln e = 1 ]
4.852 - 4.81218 = 12 k
k =
For year 2013 ⇒
= 123 ×
= 123 × 1.07937
= 132.76 rounded to 133 million.
Therefore, population in 2013 is 132.76 ≈ 133 million.
Answer:
I don't see any number lines...
Step-by-step explanation:
Answer:
.1
Step-by-step explanation:
.125
.125 rounds to .130
.13 rounds to 0.1