Answer:
The meaning of each statement is shown below.
Step-by-step explanation:
Assume that the given statements are
(a) c(0)=0
(b) c(3)=c(8)
(c) c(n)=29
(d) c(13)<c(12)
Let c(t) be the number of customers in a restaurant t hours after 8 A.M.
We need to find the meaning of each given statement.
(a) c(0)=0 means the number of customers 0 hours after 8 A.M (i.e., 8 A.M.) is 0.
(b) c(3)=c(8) means the number of customers 3 hours after 8 A.M (i.e., 11 A.M.) is equal to the number of customers 8 hours after 8 A.M (i.e., 4 P.M.).
(c) c(n)=29 means the number of customers n hours after 8 A.M is 29.
(d) c(13)<c(12) means the number of customers 13 hours after 8 A.M (i.e., 9 P.M.) is less than the number of customers 12 hours after 8 A.M (i.e., 8 P.M.).
Answer:
Alison wins against Kevin by 0.93 s
Step-by-step explanation:
Alison covers the last 1/4 of the distance in 3 seconds, at a constant acceleration
, we have the following equation of motion

where s (m) is the total distance, ta = 3 s is the time


Similarly, Kevin overs the last 1/3 of the distance in 4 seconds, at a constant acceleration
, we have the following equation of motion:

tk = 4 s is the time


Since
we can conclude that
, so Alison would win.
The time it takes for Alison to cover the entire track



The time it takes for Kevin to cover the entire track



So Alison wins against Kevin by 6.93 - 6 = 0.93 s
3,2,-5,-7 that is the order it should be in
<h3>
Answer:</h3>
6 hours 36 minutes, or 6 hours 31 1/2 minutes
<h3>
Step-by-step explanation:</h3>
Dividing the task among the 6 committee members means each member will be making 525/6 = 87.5, that is, either 87 or 88 flowers. (We doubt that two people working together on the same flower will finish it in half the time.)
Each of the three committee members making 88 flowers will take ...
... 88 × 4 1/2 minutes = 396 minutes = 6 hours 36 minutes
Each member making 87 flowers will be finished 4 1/2 minutes sooner, after 6 hours 31 1/2 minutes.
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<em>Comment on the problem</em>
This problem seemingly invites you to divide the labor evenly among committe members. Doing that would give you an answer of 6 hours 33 3/4 minutes. You need to ask yourself whether that is practical for this situation.