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EastWind [94]
2 years ago
15

A pipe of diameter 64mm discharges water at a rate of 2.05mm/s into an empty cylindrical tank of diameter 7.6cm and height 2.3m.

Find the time required to fill the tank, giving your answer correct to the nearest minute.
Mathematics
1 answer:
inessss [21]2 years ago
4 0

Answer:

Diameter of pipe = D = 64mm

cross sectional Area of pipe= A = pi * (D/2)^2 = pi * (32)^2 = 1024pi  mm^2

Discharge Rate of water = v = 2.05 mm/s

Volume of Cylinder = V = pi * (D/2)^2 * h = pi * (38)^2 * 2300 = 3321200pi  mm^3

(Area of pipe)*(Rate) = (Volume) / (Time)

Time = T = (Volume) / [(Area of pipe)*(Rate)]

              = (3321200pi)/(1024pi * 2.05)

              = 1582.126524s

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P = 2 x 1 x 9
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8 0
2 years ago
16x^2-24x+7=0 equation and/or inequalities
Ivenika [448]
It is quadratic equation.
First we have find delta given by formula: delta=b^{2}-4ac
where our 
a=16
b=-24
c=7
so, delta=24^{2}-4*16*7=128
Because delta is positive, there is real results.
Now we can use next formula x=\frac{-b+ \sqrt{delta} }{2a}
, to find roots (results, 2 results because its quadratic equation and delta is greater than 0)
x1=\frac{24+ \sqrt{128} }{2*16} = \frac{3+ \sqrt{2} }{4}
x2=\frac{24- \sqrt{128} }{2*16} = \frac{3- \sqrt{2} }{4} 
5 0
2 years ago
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Michael is making a big batch of granola bars to bring to his soccer game. The oats in the granola bars contain 568.7 grams of c
givi [52]
Your answer would be the last one for sure !
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2 years ago
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In a group of 100 students, 25 own a laptop, 40 own a mobile phone, and 35 own either a
Talja [164]

Answer:

My best answer is that the probability is 35/100 that the student chosen at random owns neither a laptop nor a mobile phone.

Step-by-step explanation:

If you go back and read the introductory passage, you will notice it says, "In a group of 100 students... 35 own either a laptop or a mobile phone, but not both." And I think the other numbers, I.E. 25 and 40, were just meant to throw us off. Therefore, I think 35/100 is the probability.

8 0
2 years ago
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jek_recluse [69]

Answer: The regular price of the granola bars were $5 each.

Step-by-step explanation:

Hi, to answer this question we have to write an equation with the information given:

  • <em>Discount = 10% = 0.10 (decimal form, 10/100 =0.1) </em>
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So, the original price of the granola bar (x) multiplied by 0.9 ( since 100% is the full price,1- 0.1= 0.9) equals to 4.50 (cost after discount)

Mathematically speaking

x (1- 0.1) = 4.50

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x = 4.50/0.9

x= 5

Feel free to ask for more if needed or if you did not understand something.

7 0
2 years ago
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