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Ulleksa [173]
3 years ago
5

Mei is writing 4.28 as a mixed number. Find her mistake and correct it.

Mathematics
2 answers:
Novay_Z [31]3 years ago
7 0
4.28 is a decimal and not a mixed number. To write it as a mixed number you keep the 4 and put 28 over 100 then simplify.

4.28= 4 28/100 (simplify)
4 28/100= 4 14/50= 4 7/25

4.28 as a mixed number would be 4 7/25
RideAnS [48]3 years ago
5 0

Answer: 4 28/100 or 4 7/25

Step-by-step explanation:She wrote 4 28/1000 instead of writing 4 28/100 she simplified wrong so divide by 4 equals 4 7/25

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An oil tank is leaking into a lake at a rate of 0.1 m3/day. The oil slick forms a semicircular disk whose center is at the leak
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Answer:

17.9  m/s

Step-by-step explanation:

Volume of the slick =  0.5 x π r² h--------------------------------- (1)

Where r = radius of slick

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If 0.5m³ of oil leaked, then the radius of the semicircular slick can be calculated from equation (1)

V  =  0.5 x π r² h

0.5=  0.5 x  π x  r² x 10⁻⁶

r²   =  10⁶/ π

r =     10³/√π

dV/dt =   πrh dr/dt  + 0.5π r² dh/dt----------------------------------- (2)

Asumming the film thickness is constant , equation (2) becomes

dV/dt =   πrh dr/dt-------------------------------- (3)

dV/dt = 0.1m³/day

r=  10³/√π

dr/dt= rate of expansion of the slick

Substituting  into (3);

0.1 =  π x 10³/√π x 10⁻⁶ x dr/dt

dr/dt = 0.1  x 10⁶/ ( π x 10³/√π)

       =  17.9479 m/s

       ≅  17.9  m/s

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Step-by-step explanation:

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