According to one theory of learning, the number of items, w(t), that a person can learn after t hours of instruction is given by: w(t) = 15 3 t2, 0 ≤ t ≤ 64 Find the rate of learning at the end of eight hours of instruction.

The rate of study is 5 items per hour.

Step-by-step explanation:

Number of items a person can learn after t hours of instruction, w(t) is given by:

We want to determine the rate of learning at any time t. The rate is the derivative of w(t) with respect to time.

Therefore, the rate of learning at any time t

At the end of 8 hours, t=8

=5

The rate of study is 5 items per hour.

(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

the reporter's right

step-by-step explanation:

1/4 = .25 / 25%