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erastovalidia [21]
3 years ago
15

If you solve the inequality 2x < 14, the solution set is x < 7. Graph x < 7 on a number line. Which one of the listed v

alues of x is included in x < 7?
A) x = 8
B) x = 7
C) x = 12
D) x = −8
Mathematics
2 answers:
Crazy boy [7]3 years ago
5 0

Answer:

its D) x = -8 is correct

All the values less than 7 are included in the number line. The graph on number line is shown in figure attached. In the options given, all values in Option A, B and C are greater than 7 so these cannot be included.

-Hops

Katarina [22]3 years ago
5 0

Answer:

A) x=8 cause that a great answer

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Answer:

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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',

4πr³/3 = πR²h

dividing through by π, we have

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multiplying both sides by 3/4, we have

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taking cube-root of both sides, we have

r = ∛(3R²h/4)

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

r = ∛(3(7 cm)² × 7.5 cm/4)

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r = ∛(275.625 cm³)

r = 6.508 cm

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