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d1i1m1o1n [39]
3 years ago
15

Yall please help me!!!I need to know the answer soon!yall please

Mathematics
1 answer:
tankabanditka [31]3 years ago
5 0

Answer:

108

Step-by-step explanation:

<u>find the volume of the cooler</u>:

V=πr²h

π×6²×16= 1809.56

<u>find the volume of the cup</u>:

V=πr²(h/3)

π×2²×(4/3)= 16.76

<u>divide the volume:</u>

1809.56/16.76= 107.969

Assuming that the cooler is full to the max, and cups are filled almost to the top, the cooler contains 108 cups of water.

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5 0
2 years ago
The standard formula for the volume of a cylinder is V = πr2h. If the cylinder is scaled proportionally by a factor of k, its vo
Lelechka [254]
So, r' (the new r) becomes kr, and h'=h*k,

so V' = pi * (r')^2*h' = pi * (r*k)^2*(h*k) = pi*r^2*h*k^3 = V * k^3

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3 years ago
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Factorize 2x^4-7x^3-13x^2+63x-45 using factor theorem.
zheka24 [161]
Find the possible rational roots and use synthetic division to find the first zero.
I chose x=1 (which represents the factor "x-1")

1║2  -7  -13    63  -45
  ║     2    -5  -18    45
    2  -5  -18    45    0
(x-1) is a factor, (2x³ - 5x² - 18x + 45) is the other factor.

Use synthetic division on the decomposed polynomial to find the next zero.
I chose x = 3 (which represents the factor "x-3")

3║2  -5  -18    45 
  ║     6     3   -45   
    2   1  -15     0   

Using synthetic division, we discovered that (x-1), (x-3), & (2x² + x -15) are factors.  Take the new decomposed polynomial (2x² + x -15) and find the last two factors using any method.

Final Answer: (x-1)(x-3)(x+3)(2x-5)




8 0
3 years ago
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