3 years ago

...........help......

Mathematics

1 answer:

maw [93]3 years ago

4 0

Answer: angle ADC measures half of 124 that is 62 degrees

Step-by-step explanation:

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the area of a rectangle is 14,628 square millimeters, and the width is 12 millimeters, what is the length

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14,628/12=1,219 millimeters

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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:

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

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

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

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<u>Finally:</u>

$t=816y$

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3 years ago

What is the y-value when x equals 7?<br> y = 310 - 25(x)

monitta

Answer:

y=135

Step-by-step explanation:

To find the solution, we must put 7 in for x and solve, as shown:

$y=310-(25)(7)\\y=310-175\\y=135$

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Step-by-step explanation:

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