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maxonik [38]
3 years ago
6

If the cells continue to double every 5 minutes, how long will it take to fill 3 additional bottles of the same size? minutes

Mathematics
2 answers:
musickatia [10]3 years ago
8 0

The answer is 10 minutes

Alex_Xolod [135]3 years ago
6 0

Answer: 10 minutes.


Step-by-step explanation: Since the cells get double in every 5 minutes, so the number of bottles that will be filled in 5 minutes= 2. After another 5 minutes, these 2 bottles of cells will fill another two bottles. Now, out of these 4 bottles, one is old which was already filled with cells. So, no. of new bottles filled=3 in 10 minutes.

So, it will take 10 minutes to fill another 3 bottles of the same size.


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You have been asked to design a can shaped like right circular cylinder that can hold a volume of 432π-cm3. What dimensions of t
rosijanka [135]

Answer:

Height = 12cm

Radius = 6cm

Step-by-step explanation:

Given

Represent volume with v, height with h and radius with r

V = 432\pi

Required

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V = \pi r^2h\\

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432\pi = \pi r^2h

Divide through by π

432 = r^2h

Make h the subject:

h = \frac{432}{r^2}

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A=2\pi rh+2\pi r^2

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To minimize, we have to differentiate both sides and set A' = 0

A'=2\pi (-\frac{432}{r^2} + 2r)

Set A' = 0

0=2\pi (-\frac{432}{r^2} + 2r)

Divide through by 2\pi

0= -\frac{432}{r^2} + 2r

\frac{432}{r^2} = 2r

Cross Multiply

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2r^3 = 432

Divide through by 2

r^3 = 216

Take cube roots of both sides

r = \sqrt[3]{216}

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h = \frac{432}{r^2}

h = \frac{432}{6^2}

h = \frac{432}{36}

h = 12

Hence, the dimension that requires the least amount of material is when

Height = 12cm

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