Answer:
d. about 50 times larger
Step-by-step explanation:
The given expressions for magnitude (M) can be solved for the intensity (I). Then the ratio of intensities is ...
The larger earthquake had about 50 times the intensity of the smaller one.
Answer:
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',
4πr³/3 = πR²h
dividing through by π, we have
4r³/3 = R²h
multiplying both sides by 3/4, we have
r³ = 3R²h/4
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)
r = ∛(3 × 49 cm² × 7.5 cm/4)
r = ∛(1102.5cm³/4)
r = ∛(275.625 cm³)
r = 6.508 cm
r ≅ 6.51 cm to 2 decimal places
Answer:
Step-by-step explanation:
Rewrite the expression
Add
Therefore, is equal to .
I hope this helps!
Answer: The correct formula for converting C to F is:
F = (9/5)C + 32
30°C = 86°F
Step-by-step explanation:
F = (9/5)C + 32
F = (9/5)(30C) + 32
F = 86°F
