Imagine a 10 kg chunk of aluminum (density = 2.7 g/cm3) and a 10 g chunk of iron (density = 7.9 g/cm3).
2 answers:
Answer: C. The chunk of iron's volume is smaller than the chunk of aluminum's volume.
Step-by-step explanation:
Given: The mass of aluminum chunk = 10 kg
In grams , the mass of aluminum chunk = 1000 g [∵ 1 kg = 1000 g]
The mass of iron chunk =10 g
i.e The chunk of aluminum is more massive than the chunk of iron.
Density of Aluminum chunk =
Density of iron chunk =
The formula of volume is given by :-
Clearly, The chunk of iron's volume is smaller than the chunk of aluminum's volume.
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Answer:
Given functions,
Since, by the compositions of functions,
1. (g◦f)(x) = g(f(x))
Since, (g◦f) is defined,
If 3 - x² ≥ 0
⇒ 3 ≥ x²
⇒ -√3 ≤ x ≤ √3
Thus, Domain = [-√3, √3]
2. (f◦g)(x) = f(g(x))
Since, (g◦f) is defined,
If x ≥ 0
Thus, Domain = [0, ∞)
3. (f◦f)(x) = f(f(x))
Since, (f◦f) is a polynomial,
We know that,
A polynomial is defined for all real value of x,
Thus, Domain = (-∞, ∞)