sophonie1098
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Biologists use a formula to estimate the mass of a
mammal's brain. For a mammal with a mass of m grams, the
approximate mass B of the brain, also in grams, is given by
B=em. Find the approximate mass of the brain of a mouse
that has a mass of 64 grams.

Respuesta :

calculista

Answer:

The approximate mass of the brain of a mouse is 2 grams

Step-by-step explanation:

The correct question in the attached figure

Let

B -----> the  approximate mass B of the brain in grams

m ----> the mass of a  mammal's brain in grams

we know that

[tex]B=\frac{1}{8}m^{\frac{2}{3}}[/tex] ----> given problem

we have

[tex]m=64\ g[/tex]

substitute in the formula above

[tex]B=\frac{1}{8}(64)^{\frac{2}{3}}[/tex]

Remember that

[tex](64)^{\frac{2}{3}}=\sqrt[3]{(64)^2}=\sqrt[3]{(4^{3})^2}=\sqrt[3]{(4^{6})}=4^{2}=16[/tex]

[tex]B=\frac{1}{8}(16)\\\\B=2\ g[/tex]

Ver imagen calculista
shristiparmar1221

This question is based on the formula to estimate the mass of a

mammal's brain.Therefore, the approximate mass of the brain of a mouse is 2 gm.

Given:

Mass = 64 grams

We need to calculate the  approximate mass of the brain of a mouse.

According to the question,

Let  B be the  approximate mass  of the brain in grams  and m be  the mass of a mammal's brain in grams.

By using the formula of  to estimate the mass of a  mammal's brain is,

[tex]B = \dfrac{1}{8} m^\frac{2}{3}[/tex]

It is given that, m = 64 grams,

[tex]B = \dfrac{1}{8} (64)^\frac{2}{3} = \dfrac{1}{8} \sqrt[3]{(64)^2} = \dfrac{1}{8} \sqrt[3]{(4^3)^2} = \dfrac{1}{8} 4^{2} = \dfrac{16}{8} = 2 \\\\B = 2 gm[/tex]

Therefore, the approximate mass of the brain of a mouse is 2 gm.

For more details, prefer this link;

https://brainly.com/question/13188792