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I am Lyosha [343]
2 years ago
14

Can someone solve this now please

Mathematics
1 answer:
USPshnik [31]2 years ago
8 0
Answer is D

Remember to see the points of intersection of the graphs test for discriminant [b^2 - 4ac]

e.g. you have y = x^2 - 6x + 9, compare this to the general quadratic equation y=ax^2 + bx + c

Discriminant = (-6)^2 - 4(1)(9) = 0

For the graph to only touch x axis at one point discriminant must be equal to 0 so D is the answer as it is the only equations whose discriminant is equal to 0

Hope this helped :)
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6.51 cm

Step-by-step explanation:

Since the sphere causes the water level in the cylindrical container to rise and thus increase by its own volume, the volume of the sphere is V = 4πr³/3 where r = radius of sphere. The volume rise of the container is thus    V' = πR²h where R = radius of base of cylinder = 7 cm and h = height of water level = 7.5 cm.

Since V = V',

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dividing through by π, we have

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Substituting the values of the variables into the equation, we have

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r = ∛(3 × 49 cm² × 7.5 cm/4)

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