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xxMikexx [17]
2 years ago
14

Which numbers make the comparison true? 29,651<

Mathematics
1 answer:
Aleonysh [2.5K]2 years ago
3 0
Charlidamelio is overrated
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Water is pumped into a tank at a rate of r (t)=30(1−e− 0.16t) gallons per minute, where t is the number of minutes since the pum
Vlad1618 [11]

Answer:

The total volume of the water in the tank after 20 minutes = 1220 gallons

Step-by-step explanation:

Rate of water pumped into the tank  r (t) = 30 (1 - e^{-0.16 t} )

Initial volume of water in the tank = 800 gallons

The water in the tank after 20 minutes = Initial volume of water in the tank + Volume of water being pumped in the tank

V_{total} = V_{i} + V_{pump}

V_{pump} = \int\limits^a_b {r(t)} \, dt

Where a = 0 , b = 20

Put the value of r (t) in above equation we get

V_{pump} = \int\limits^a_b {30 (1 - e^{-0.16t} )} \, dt

V_{pump} = 30 [ t + \frac{e^{-0.16t} }{0.16} ]

V_{pump} = 30[ (20- 0) + \frac{1}{0.16}(e^{-0.16 (20)}- e^{0}  )

V_{pump} = 420 gallon

Now, total volume in the tank

V_{total} = V_{i} + V_{pump}

V_{total} = 800 + 420

V_{total} = 1220 \ gallon

Therefore the total volume of the water in the tank after 20 minutes = 1220 gallons

3 0
3 years ago
Which number is closest to the
disa [49]
I think it is D
Hope my answer help you?
5 0
2 years ago
Read 2 more answers
Oil spill spreads 25 m² every 1/6 hour how much area does the oil spill cover after two hours
Delvig [45]
1/6 of an hour is 10 minutes because there are 60 minutes in an hour so 60/6=10
so it's 25m^2/10minutes
now just multiply 25 by 12 ( 12 lots of 10 minutes in 2 hours)
25*12=300
answer is 300m^2

hope this helped
6 0
2 years ago
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So I have these two assignments and their due in today and 12:00 so if anybody can please give me the answers real quick it woul
LUCKY_DIMON [66]

Answer:

77°, 103°

Step-by-step explanation:

x=103°

  • z=x=103°
  • y=180°-x=180°-103°=77°

-----------

∠5= 42°

∠3= 180°-42°=138°

4 0
3 years ago
A recipe calls for 15 oz of flour for every 8 oz of milk .is the relationship between ounces of four and ounces of milk proporti
pantera1 [17]
Yes, they are proportional because if you increase or decrease either amount they will both change. They will always have the same size. For example if I want to double the flour, I will have to double the milk as well because they have the same ratio. 
6 0
3 years ago
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