3 years ago

$7.99 for 1/2 pounds

Mathematics

1 answer:

Crazy boy [7]3 years ago

3 0

Answer:

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Write the equation of a line that is parallel to y = 9 and that passes through the point (3,-8)

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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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3 years ago

Butch washes half of his kitchen floor in 1/4 hour. His kitchen floor is 120 square feet. What is an equivalent unit rate?

PtichkaEL [24]

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Ronnie bought 6 ice cream cones for himself and his friends. Seventeen cents tax was added to the price of each cone. The total

maks197457 [2]

Answer:

Step-by-step explanation:

Since the tax is 17¢, then you have to subtract that from 14.58

14.58-.17=14.41

14.41/6

$2.40

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