Answer:
y = 6cos(π/2)t
Step-by-step explanation:
Given in the question that,
in a simple harmonic motion in which
at t=0 the amplitude is 6 cm, so the simple harmonic motion will be in cosine form. As in case of sine function, the value of function at t=0 is 0.
And,
the period is given as 4 sec
We know that model equation of simple harmonic motion is
<h3>y = a. cosb(t + c) + d</h3>
here,
a is amplitude
c is Horizontal shift or phase shift
d is Vertical shift
<h3>Step1</h3><h3>Find b</h3>
Period = 2 π / b
4 = 2π / b
b = 2π/4
b = 1π/2
<h3>Step2</h3><h3>Find shifts</h3>
Horizontal and vertical shifts are 0.
So, c = 0 and d = 0
<h3>Step3</h3><h3>Plug those values in the above in the equation</h3>
y = 6cos π/2 (t + 0) + 0
y = 6cos(π/2)t
Probability of 2 sets going to tie-breaker = 0.19*0.19 = 0.0361
there are 3 ways that 2 out of 3 sets are tiebreakers
so required probability = 3 * 0.0361 = 0.1083
= 10.83%
Answer:
Step-by-step explanation:
Exponential growth function:
The exponential growth function for a population, after t years, is given by:
In which P(0) is the initial population and r is the growth rate.
A warren of rabbits has a population of 350. The population is increasing at a rate of 3% per year.
This means that 
So
How can you write an exponential growth function to find the monthly growth rate?
Monthly growth rate means that the time is divided by 12(as one year has 12 months), so the equation will be:
Answer:
610 meters
Step-by-step explanation:
-455 is where the shark is we wanna go to sea lvl so we gotta add 455
+455
155 is where the agle is, we add 155 because shark is now at sea lvl
155+455=610
14 1 14 4
---- x ----- = ----- = 2 ---- inches.
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