let's recall that d = rt, distance = rate * time.
we know that Steve is twice as fast as Jill, so say if Jill has a speed or rate of "r", then Steve is traveling at 2r fast, now we know they both in opposite directions have covered a total of 120 miles, so if Jill covered "d" miles then Steve covered 120 -d, check the picture below.
![\begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ Jill&d&r&2.5\\ Steve&120-d&2r&2.5 \end{array}~\hfill \begin{cases} d=2.5r\\[2em] 120-d=5r \end{cases} \\\\\\ \stackrel{\textit{substituting on the 2nd equation}}{120-2.5r=5r\implies 120=7.5r}\implies \cfrac{120}{7.5}=r\implies \stackrel{Jill's}{16=r}~\hfill \stackrel{Steve's}{32}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Blcccl%7D%20%26%5Cstackrel%7Bmiles%7D%7Bdistance%7D%26%5Cstackrel%7Bmph%7D%7Brate%7D%26%5Cstackrel%7Bhours%7D%7Btime%7D%5C%5C%20%5Ccline%7B2-4%7D%26%5C%5C%20Jill%26d%26r%262.5%5C%5C%20Steve%26120-d%262r%262.5%20%5Cend%7Barray%7D~%5Chfill%20%5Cbegin%7Bcases%7D%20d%3D2.5r%5C%5C%5B2em%5D%20120-d%3D5r%20%5Cend%7Bcases%7D%20%5C%5C%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7Bsubstituting%20on%20the%202nd%20equation%7D%7D%7B120-2.5r%3D5r%5Cimplies%20120%3D7.5r%7D%5Cimplies%20%5Ccfrac%7B120%7D%7B7.5%7D%3Dr%5Cimplies%20%5Cstackrel%7BJill%27s%7D%7B16%3Dr%7D~%5Chfill%20%5Cstackrel%7BSteve%27s%7D%7B32%7D)
(4,1) is the midpoint. Just find the middle of the two numbers and that will be your new point. Hope this helps!
Well to find this answer, you want to divide $1.39 by 67.6. When you do this you get 0.0205. This is roughly 2 cents per ounce.
Answer:
D - Type of restaurant - fast food or more expensive.
Step-by-step explanation:
By a lurking variable we mean or refer to any variable that is unknown and not controlled for or out of individual control. When there is one or more lurking variables in any study it could results in accidental bias. According to Soares (1985), lurking variables are intrinsic and they are not actually caused by “accidents” in real sense. Hence he suggests that “lurking-variable bias” is a more suitable name for accidental bias.
Concluding that individuals who spend a lot on groceries also spend a lot at restaurants could be misleading in the sense that, groceries may have a more uniform price than restaurant regardless of your social class. For instance, type of restaurant could determine food cost. At some restaurant, food is quite expensive at another food is quite affordable. I may not to go any groceries store in a month but I patronize restaurant to eat daily.
It is also possible I don't patronize restaurants! And yet, I am frequent at groceries store.
In real sense, what I spent at groceries might be nothing compare to what I spend at restaurant and vice versa. Hence, the possible lurking variable is type of restaurant - fast food or more expensive which is unknown and not controlled for.
Answer:
Exponential functions have a horizontal asymptote. The equation of the horizontal asymptote is y
=
0
.
Horizontal Asymptote: y
=
0
Step-by-step explanation:
x y
-2 81/4
-1 27/2
0 9
1 6
2 4
