For mammals, brain mass scales as body mass to the power of 0.70: Mbrain∝M0.70body.Mammal A has twice the body mass of mammal B. What is the ratio of mammal A's specific brain mass to mammal B's? Report your answer using two significant figures

Respuesta :

Answer:

Ration of mammal A's specific brain mass to mammal B's [tex]= 1.624[/tex]

Explanation:

Given -

Mass of brain is equal to 0.7th power of mass of body

Mass of brain in terms of  mass of body of Mammal B

[tex]= M^{0.7}[/tex]

Where M signifies the mass of body of mammal B

Mass of body of mammal A [tex]= 2*[/tex]mass of body of Mammal B[tex]= 2M[/tex]

Mass of brain of mammal A in terms of  mass of body of Mammal B

[tex]= 2M^{0.7}[/tex]

Ration of mammal A's specific brain mass to mammal B's

[tex]\frac{(2M)^{0.7}}{M^{0.7}} \\= 2^{0.7}\\= 1.624[/tex]

Thus, Ration of mammal A's specific brain mass to mammal B's [tex]= 1.624[/tex]

Q&A Education