The angle "phi" represents the phase shift, determined by the initial conditions of the experiment or the position of the weight at t = 0. if the weight is at its maximum positive position (weight is above equilibrium) at t = 0, then "phi" = 0. if the weight is at its maximum negative position (spring is stretched and weight is below equilibrium) at t = 0, then "phi"=pi . if the weight is traveling in the negative direction and passing through equilibrium at t = 0, then "phi"=pi/2. in the response box, describe the initial condition of our experiment; specifically, describe the position of the weight and the direction in which it was traveling. (look at link to see question better, )

about 168 miles

step-by-step explanation:

delaney would like to make a 5lb nut mixture that is 60% peanuts and 40% almonds.

she has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds.

let 'p' represent the number of pounds of peanuts needed to make the new mixture, and  

let 'm' represent the number of pounds of the 80% almond-20% peanut mixture.

:

p + m = 5

therefore

m = (5-p)

write an equation based on the percent of peanuts

1p + .2m = .6(5)

replace m with (5-p)

p + .2(5-p) = .6(5)

p + 1 - .2p = 3

p - .2p = 3 - 1

.8p = 2

p = 2/.8

p = 2.5 lbs of peanuts required

then

5 - 2.5 = 2.5 lbs of the peanut/almond mixture required

:

a) what is the system that models this situation?

p + m = 5

1p + .2m = .6(5)

=

x=0.8898305 is the answer to that equation