Which model shows 64−−√3=4 ?
1 answer:
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The cosine function cos(x), as you know, has a peak at x=0, a minimum at x=π, and another peak at x=2π. That is, its period is 2π. Its amplitude is 1, meaning the peak is +1 and the minimum is -1.
Problems where sine or cosine functions are used to model periodic behavior are problems in scaling. You need to match the period and amplitude of your scaled cosine function to the period and amplitude of the phenomenon you are modeling.
Here, high tides are 12 hours apart, so we need to scale x by a factor that turns 12 hours into 2π. That might be x ⇒ 2πx/12 or (π/6)x.
The high tide is 9 ft, and the low tide is 1 ft, so we need to do vertical offset and scaling to make the peak of our transformed cosine function be 9 and its minimum be 1. That difference is 8, so has an amplitude of ±4 around a midline of (9+1)/2 = 5.
Then our tide model is
.. water level = 5 +4*cos((π/6)t)
Problems where sine or cosine functions are used to model periodic behavior are problems in scaling. You need to match the period and amplitude of your scaled cosine function to the period and amplitude of the phenomenon you are modeling.
Here, high tides are 12 hours apart, so we need to scale x by a factor that turns 12 hours into 2π. That might be x ⇒ 2πx/12 or (π/6)x.
The high tide is 9 ft, and the low tide is 1 ft, so we need to do vertical offset and scaling to make the peak of our transformed cosine function be 9 and its minimum be 1. That difference is 8, so has an amplitude of ±4 around a midline of (9+1)/2 = 5.
Then our tide model is
.. water level = 5 +4*cos((π/6)t)
<h2>Answer:</h2>
The statement that is true about the scenario is:
- The distance traveled depends on the amount of time Marlene rides her bike.
- The function f(t) = 16t represents the scenario.
The time that she rides is represented by 't'
and the distance she traveled is represented by 'd'
Now, it is given that:
Marlene rides her bike at a rate of 16 miles per hour.
This means that the distance she rides in ''t" hours is given by:
Since, speed is the ratio of distance over time and it is given that the speed is: 16 miles per hour.
i.e.
Hence, the distance depends upon time.
i.e. the independent variable is time and the dependent i.e. the output is distance traveled.
Also, the initial value is zero.
i.e. at t=0 we have: d=0
Answer:
0.0403
Step-by-step explanation:
Given that 76% of americans prefer coke to pepsi.
Let x be the number of people who prefers coke to pepsi.
X is binomial as each trial is independent, and there are only two outcomes.
A sample of 27 was taken.
We have to find the probability that less than sixty percent of the sample prefers coke to pepsi
60% of 27 =
Required probability =
Hence prob=0.0403