the equation that models the height above or below equilibrium in inches, h, of a spring over time in seconds, t, is h=-30cos(2pi/5 t). at which times will the spring be at a height of 20 in. above equilibrium?

answer options:

1.3 seconds
1.8 seconds
3.2 seconds
4.3 seconds
5.7 seconds

there are 2 correct !

the answers are 1.8 and 3.2 seconds. So both B and C.

Step-by-step explanation:

Option 1 and 3 - 1.3 seconds and 3.2 seconds

Step-by-step explanation:

Given : The equation that models the height above or below equilibrium in inches, h, of a spring over time in seconds, t, is .

To find : At which times will the spring be at a height of 20 in. above equilibrium?        

Solution :

We have given,              

The equation that models the height above or below equilibrium in inches      

We have to find at h=20 inches the time of spring.

We show it graphically,

Plot the graph of the model  

Then, Substitute h=20

The points of their intersections are the solution of the model.

The intersection points are (1.831,20), (3.169,20) and many more.

From the given options,

The time are 1.3 seconds and 3.2 seconds.

Therefore, Option 1 and 3 are correct.    

Refer the attached figure below.  

answer:

it will cost 480 dollars to refurbish the larger wood floor

step-by-step explanation:

as it's a ratio of 4 that costs 384 dollars, divide the price by the ratio

384 / 4 = 96 dollars

96 dollars per unit of the ratio

now to get the price to refurbish the larger wood floor, times the price by the units

96 * 5 = 480