0.50 m *100 Hz
= 50m/s I really hope this helps!
Cos x = 15/21
X= cos^-1 (15/21)
X=44
Answer x < -6.
So to solve for x, get it down to its lowest terms we have to isolate x.
We first want to do that by getting rid of the dividing 3 over x. We can do that by multiplying 1/3 by 3, it’s reciprocal…and what we do to one side we have to do to another. So we will also multiply the -2 on the other side by 3. (Which is -6) This will cancel it out and leave us with our final answer…
x < -6
Since the population of Guatemala follows an exponential
growth, therefore the equation describing the population over time should be in
the form:
p = p0 (1 + r)^t
where,
p = is the population at specified time t
p0 = is the initial population (measured starting year
2000) = 12.7 m
r = the growth rate
t = time in years
A. Calculating for the growth rate r when p = 30 and t =
20:
30 = 12.7 (1 + r)^20
1 + r = (30 / 12.7)^(1/20)
r = (30 / 12.7)^(1/20) – 1
r = 0.0440
So the equation is:
p = p0 (1.0440)^t
B. Calculating for the growth rate r when p = 30 and t =
125:
30 = 12.7 (1 + r)^125
1 + r = (30 / 12.7)^(1/125)
r = (30 / 12.7)^(1/125) – 1
r = 0.0069
So the equation is:
p = p0 (1.0069)^t
