Sin is -sqroot3/2, cosine is 1/2, when ever you are given a point, the y value is always sin and x value is always cosine.
Recall the quotient rule of exponents: x^a/x^b = x^(a-b)
So
2^(7/8) / 2^(1/4)
=2^(7/8-1/4)
=2^((7-2)/8)
=2^(5/8)
=8 radical 2^5
=8 radical (32)
Answer:
P(first marble will be green and the second will be green as well)= 5/22
Step-by-step explanation:
A goblet contains 2 red marbles, 6 green marbles, and 4 blue marbles.
Total number of marbles= 2+6+4
=12
P(first marble is green)=no. of green marbles/total number of marbles
= 6/12
= 1/2
P(second marble is green and we didn't put the first marble back)
=no. of green marbles left/total marbles left
= 5/11
Hence, P(first marble will be green and the second will be green as well)
=
= 5/22
Answer:
An object moving along the x-axis is said to exhibit simple harmonic motion if its position as a function of time varies as
x(t) = x0 + A cos(ωt + φ).
The object oscillates about the equilibrium position x0. If we choose the origin of our coordinate system such that x0 = 0, then the displacement x from the equilibrium position as a function of time is given by
x(t) = A cos(ωt + φ).
A is the amplitude of the oscillation, i.e. the maximum displacement of the object from equilibrium, either in the positive or negative x-direction. Simple harmonic motion is repetitive. The period T is the time it takes the object to complete one oscillation and return to the starting position. The angular frequency ω is given by ω = 2π/T. The angular frequency is measured in radians per second. The inverse of the period is the frequency f = 1/T. The frequency f = 1/T = ω/2π of the motion gives the number of complete oscillations per unit time. It is measured in units of Hertz, (1 Hz = 1/s).
The velocity of the object as a function of time is given by
v(t) = dx(t)/dt = -ω A sin(ωt + φ),
and the acceleration is given by
a(t) = dv(t)/dt = -ω2A cos(ωt + φ) = -ω2x.
