The answer is /6 radians. I looked up the unit circle hope this helps :)
Suppose that R and S are points on the number line.
1 answer:
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The motion of the mass as it moves on the bottom of the spring is a
repetitive motion.
Reasons:
The general form of the equation of the simple harmonic motion of the
mass is <em>d</em> = a·sin(ω·t)
Where;
d = The distance of the mass from the rest position
a = The maximum displacement of the mass from the equilibrium position = 6 cm
ω = The frequency of rotation
t = The time of motion
ω = The frequency of rotation
Where;
T = The time to complete one cycle (the period of oscillation) = 4 seconds
Combining the above values gives the modelling equation as follows;
Learn more here:
Answer:
The base is 8 and the height is 3, so the area is 8 (3) = 24 square units.
Step-by-step explanation:
The area of the parallelogram is given by the following expression:
The vectors are, respectively:
The base of the parallelogram is 8 units.
The height of the parallelogram is 3 units.
The cross product of both vectors is:
The area of the parallelogram is given by the norm of the resulting vector:
Answer:
Critical value zc = 1.6449.
As the test statistic z=1.3881 is smaller than the critical value zc=1.6449, it falls in the acceptance region and the null hypothesis is failed to be rejected.
Step-by-step explanation:
This is a hypothesis test for a proportion.
The claim is that more than 22% of the population will like the new soft drink.
Then, the null and alternative hypothesis are:
The significance level is 0.05.
The sample has a size n=400.
The sample proportion is p=0.25.
The standard error of the proportion is:
Then, we can calculate the z-statistic as:
As this is a right-tailed test, there is only one critical value and it is, for a significance level of 0.05, zc=1.6449.
As the test statistic z=1.3881 is smaller than the critical value zc=1.6449, it falls in the acceptance region and the null hypothesis is failed to be rejected.