Mathematics, 23.01.2020 04:31 idahopotato5429

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.

Answers: 3

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Answers

Answer from: adamgala3885

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,

$B = \dfrac{1}{8} m^\frac{2}{3}$

It is given that, m = 64 grams,

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

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

For more details, prefer this link;

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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 gra

Answer from: BossKnight

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

$B=\frac{1}{8}m^{\frac{2}{3}}$ ----> given problem

we have

$m=64\ g$

substitute in the formula above

$B=\frac{1}{8}(64)^{\frac{2}{3}}$

Remember that

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

$B=\frac{1}{8}(16)\\\\B=2\ g$

Answer from: Quest

b.) 160 miles on a 5 gallons car

step-by-step explanation:

240/10=24 miles/gallon

160/5=32 miles/gallon

30/1=30 miles/gallon

168/6= 28 miles/gallon

32 miles/gallon is the most amount, so this is the best.

Answer from: Quest

use the power rule

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise

to the power of

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in ( x 2 ) 2

apply the power rule and multiply exponents,

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply

2 by 2 . 9 x 4 ( y 3 ) 2

multiply the exponents in

( y 3 ) 2 .

apply the power rule and multiply exponents,

( a m ) n = a m n . 9 x 4 y 3

⋅

multiply

3 by 2 . 9 x 4 y 6

step-by-step explanation:

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Biologists use a formula to estimate the mass of a
mammal's brain. for a mammal with a mass of...