Answer:
D) 27
Step-by-step explanation:
1. add 4 on both sides to leave 4/3x by itself
2. subtract x on both sides to cancel x on the right side
3. multiply 3 ton both sides to cancel out fraction
Answer:
It doesnt have to be, you are making it. It's really just addition multiplication divison and subtraction in different ways
Step-by-step explanation:
Answer:
The relationship is positive.
The model predicts a score of 60.
Not sure what part b is.
Step-by-step explanation:
Since while the money spent on advertising increases while the items sold increases, we have a positive relation between both variables.
By looking at where 30 is on the graph, we can see it lines up with 60,the middle between $40 and $80 on the y axis and so we know this is the cost associated with this value.
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.
