Mathematics: The sample loses 1/3of it’s mass every ___ days

The sample loses 1/3of it’s mass every ___ days

Ответ:

celi1236

29.01.2022

Mathematics

The sample loses $\frac{1}{3}$ of its mass every $\frac{1}{3}$ days.

Step-by-step explanation:

Expression that shows the relation between final mass of the element after 't' days is,

M(t) = $900(\frac{8}{27})^t$

If M(t) = two third of the initial mass [After the loss of one third of the initial mass remaining mass of the element = 1 - $\frac{1}{3}$ = $\frac{2}{3}$ rd of the initial mass]

$900\times \frac{2}{3}=900(\frac{8}{27})^t$

$\frac{2}{3}=(\frac{8}{27})^t$

$\frac{2}{3}=[(\frac{2}{3})^3]^t$

$(\frac{2}{3})^1=(\frac{2}{3})^{3t}$

By comparing powers on both the sides

3t = 1

t = $\frac{1}{3}$ day

Therefore, The sample loses $\frac{1}{3}$ of its mass every $\frac{1}{3}$ days.

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Ответ:

SisterMina

22.10.2022

Mathematics

The chocolate cake would be 1/18 of a piece bigger.

Step-by-step explanation:

2/3 cut into 2 pieces would make the pieces 1/3 of the original cake size. 5/6 divided into 3 pieces would make the pieces 5/18 of the original size.

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The sample loses 1/3of it’s mass every ___ days

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