Does someone know the answer to the problem below?

  see below

Step-by-step explanation:

The added constant is the value at t=0. It is 47, so only choices A and C make any sense.

A sine function is periodic with period 2π. Here, the period is 4 minutes, so the argument of the sine function needs to be 2π when t=4. That is only the case for choice C.

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0

98 points djdjsi zisksis sjsjsi sisksj sksjdj sksks sjsisj