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Black_prince [1.1K]
3 years ago
12

How do you find the answer

Mathematics
1 answer:
liubo4ka [24]3 years ago
4 0
It is  E  X= 22

J LINE SUPPLEMENTARY ANGLE  so 
the angle is =  180  - (5x-16 ) = 180-5x +16 =196 -5x ( angle in the triangke )

the other angle in the triangle = 50 ( alt interior angles line l parallel m 
then we took the triangle sum = 180

<span>196 -5x </span> + 2x +50 = 180     
so x = 22 
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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} )

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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}  )

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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

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