What you don't want is the value of r(t) becoming negative. Surely that would represent water escaping the reservoir.
How big can (t) get before water actually starts escaping the reservoir?
Essentially, to figure this out r(t) would have to be equal to 0.
700 - 40t = 0
40t=700
t=700/40=17.5
So the first answer is 17.5 seconds. After this amount of time has elapsed the reservoir will start to lose water as r(t) would become negative.
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The reservoir had the least amount of water in it before it was being filled. That was when t=0. The volume of water in the reservoir wasn't negatively impacted as not enough water had escaped it during the 17.5 to 30 second period.
Answer:
7 mph
Step-by-step explanation:
If b is the rate of the boat, and s is the rate of the stream, then:
b − s = 4
b + s = 10
Solve the system of equations with substitution or elimination. Using elimination, add the equations together:
2b = 14
b = 7
The boat's rate is 7 mph.
Answer:
I would say the y-intercept is (0,0)
Step-by-step explanation:
2(200+75) That would be one expression that can be used to find that.
Answer:
The bag of chips and the pretzel are 14.
The cookie is 8.
The popcorn is 13.
"?" is 222.
Step-by-step explanation:
We know that the bag of chips and the pretzel are equal to each other so all we have to do to figure them out is to divide 42 by 3, which gets us 14.
So, now we know the bag of chips and the pretzel are both 14.
To figure out what the cookie is, we take 14 away from 30, which gets us 16. Two cookies are 16 which means that one cookie is 8.
To figure out what the popcorn is, we have to take away 16 from 29 since two cookies are 16. 29 minus 16 is 13.
Popcorn therefore is 13.
Two popcorns' is 26.
26 multiplied by 8 is 208.
208 plus 14 is 222.
Hope that made sense and answered your question! :)
