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3 years ago

Which axis represents the domain of a function

Mathematics

1 answer:

BabaBlast [244]3 years ago

4 0

Answer:

x axis

Step-by-step explanation:

The independent quantity is usually graphed on the horizontal (x) axis—that means the x-coordinates of the points are the domain. Since the dependent quantity is usually graphed on the vertical (y) axis, the y-coordinates make up the range.

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The radioactive element americium-241 has a half-life of 432 years. How many years will it take a 10 gram mass of americium-241

geniusboy [140]

<h2>Answer: 816 years</h2>

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

<u />

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

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

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

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

<u></u>

<u>Finally:</u>

$t=816y$

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damaskus [11]

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A certain triangle has two 45° angles. What type of triangle is<br> it?

wariber [46]

Answer:

an acute triangle

Step-by-step explanation:

an acute triangle has angles that are less than 90 degrees

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3 years ago