ANSWER
4 ft
EXPLANATION
The velocity equation of the oscillating spring is given by the function.

To find the displacement function, we need to to Integrate the velocity function.


At time t=0, there was no displacement.
This implies that,




The displacement function then becomes,

To find the displacement over the first π seconds, we put 

into the equation for the displacement to get,



 
        
             
        
        
        
Error error error error error error error
 
        
        
        

Synthetic division is used since the equation is of the third degree. The divisors of -3 are 1, -1, 3, +3. So:
   | 2  -7    8  -3
 <u>1 |      2   -5   3</u>
   | 2   -5    3  0
<u> 1 |      2     -3   </u>
     2   -3     0
So the factorization is (x-1)² (2x-3)=0. So:
                      

Synthetic division is used since the equation is of the third degree. The divisors of -4 are 1, -1, 2, -2, 4, -4. So:
       |  1  -1  0  -4
   <u>2  |     2  2     </u>
          1  2  2  0
So the factorization is (x-2)(x²+x+2)=0 . When calculating the discriminant of the trinomial, it is concluded that it has no roots since the result is negative. So you only have one solution.
                    

Synthetic division is used since the equation is of the third degree. The divisors of 2 are 1, -1, 2, -2. So:
    | 6    7       9      2
<u>-2 |      -12    10     -2</u>
      6    -5     1       0
So the factorization is (x+2)(6x²-5x+1)=0 . The quadratic equation is solved by the general formula:
          
                      
 
        
             
        
        
        
Answer:
$3
Step-by-step explanation:
3 dollars because
1 pound = 16 ounces 
and 1 pound costs 1.5 dollars
if there are 32 ounces of broccoli, you divide the number of ounces by 16 and multiply that by 1.5
32/16 = 2 x 1.5 = 3
 
        
                    
             
        
        
        
9.58 = 9 58/100 = 9 29/50