Answer:
80 m is distance traveled
Step-by-step explanation:
if object moves at 20m/s, then in 4 seconds the expression 20 x 4 is used to get 80. 80 m traveled
<span>Well if one assumes that the dog is starting at one side opposite the gate and is heading directly for it, then it has 3/8 of the yard to go. However since one cannot know where the dog has started his movement toward the gate then the answer would not be solvable without more information.</span>
we are given

We will use rational root theorem to find factors
We can see that
Leading coefficient =1
constant term is 6
so, we will find all possible factors of 6

now, we will check each terms
At x=-2:
We can use synthetic division
we get

so, x+2 will be factor
and we can write our expression from synthetic division as


now, we can find factor of remaining terms

we can use quadratic formula


we can compare our equation with quadratic equation
we get

now, we can plug these values




so, we get

so, we can write factor as

so, we get completely factored form as
...............Answer
Since the order of the students selected is important in this item, the concept used for this question is that of the permutation. For this item it is the "permutation of 28 taken 6". This may be mathematically expressed as 28P6. The numerical answer is 271252800. Thus, the answer is letter C.