Answer:
sphere volume = 3052.1 in³
Step-by-step explanation:
sphere volume = 4/3πr³ = 4/3(3.14)(9³) = 3052.1 in³
Answer:
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By factor theorem (v+5) is not a factor of the given polynomial f(v).
What does factor theorem mean?
When thoroughly factoring the polynomials, mathematicians apply the factor theorem. The polynomial's zeros and factors are connected by this theorem.
The factor theorem states that if a is any real number and f(x) is a polynomial of degree n 1 then (x-a) is a factor of f(x) if f(a)=0.
The factor theorem states that
f(x) has a factor (x-k) if and only if f(k) = 0
We are given the following information.
F(v) = v 4 + 16v 3 + 8v 2 - 725
We have to check whether (v+5) is a factor of given polynomial.
( v + 5 ) = ( v - ( - 5 )
f( -5 ) = 
= - 1900
f(-5) ≠ 0
Learn more about factor theorem
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Step-by-step explanation:
Effective resistance in the 30Ω and 40Ω parallel circuit = 1 / (1/30 + 1/40) = 120/7 Ω.
20Ω + 10Ω = 30Ω
Effective resistance in the 50Ω and (20Ω + 10Ω) parallel circuit = 1 / (1/50 + 1/30) = 75/4 Ω.
Now we can add the resistances up:
Effective resistance for circuit
= 120/7 Ω + 75/4 Ω = 1005/28 Ω.
Hence I = V / R
= 9.0V / (1005/28 Ω) = 0.25A. (2s.f.)