A colony of bees have produced about 4 oz of honey. Some time later they have about 7oz of honey. If the bees produce at a rate of 1.5% per hour, how many hours did it take?

It took 50 hours to produce 3 oz of honey.

Step-by-step explanation:

Rate of production= 1.5% per hour

Initial amount of honey = 4 oz

Final amount of honey = 7 oz

Honey produced = 3 oz

Amount produced = (initial amount x rate x time) /100

3 = (4 x 1.5 x t) /100

300 = 6t

t = 300/6

t = 50 hours

It took 50 hours for the bees to produce 3 oz of honey.

(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