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3 years ago

Which steps can be taken to translate the phrase ""the difference in the number of servings and four""? Check all that apply.

Mathematics

2 answers:

Zinaida [17]3 years ago

8 0

Answer:x-4

Step-by-step explanation:replaced “the difference with subtraction , Then “the number of servings ” with a variable, X , Replace “four” with 4 , then the answer is x-4

sertanlavr [38]3 years ago

6 0

Answer:

x - 4

Step-by-step explanation:

From the question, we're asked to translate the phrase

''The difference in the number of serving and four''.

We need to find the steps used in the process of translating the given phrase. So we start by assuming that

Let x be the number of servings. x

Difference in the statement gets changed to subtraction symbol. x -

We then change four in words to 4 in digits. x - 4

Finally then, the difference of number of serving and four is x - 4

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<h2>Answer: 816 years</h2>

This problem can be solved using the <u>Radioactive Half Life Formula: </u>

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$A=A_{o}.2^{\frac{-t}{h}}$ (1)

Where:

$A=2.7g$ is the final amount of the material

$A_{o}=10g$ is the initial amount of the material

$t$ is the time elapsed (the quantity we are asked to find)

$h=432y$ is the half life of americium-241

Knowing this, let's find $t$ from (1):

$2.7g=(10g).2^{\frac{-t}{432y}}$

$\frac{2.7g}{10g}=2^{\frac{-t}{432y}}$

$0.27g=2^{\frac{-t}{432y}}$

Applying natural logarithm in both sides:

$ln(0.27g)=ln(2^{\frac{-t}{432y}})$

$-1.309=-\frac{t}{432y}ln(2)$

$-t=\frac{(-1.309)(432y)}{0.693}$

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<u>Finally:</u>

$t=816y$

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