The equation that models the height above or below equilibrium in inches, h, of a spring over time in seconds, t, is h = -15 cos(2pi/5 t). at which times will the spring be at a height of 8 in. above equilibrium? select two of the following, make two selections.

1.7 seconds, and

3.3 seconds

Step-by-step explanation:

We simply need to plug in 8 into h and solve for t:

Since cosine is negative in the 3rd quadrant as well, we need to figure out the 3rd quadrant equivalent of 2.13 radians.

First, π - 2.13 radians = 1.01 radians.

Then, we add 1.01 to π radians, so we get 4.15 radians

Solving from the last part, we have:

also, t = 3.30 seconds

*Note: we put the calculator mode in radians when solving

So, t = 1.7 seconds & 3.30 seconds

b

step-by-step explanation:

b

use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you