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2 years ago

Help math exit ticket

Mathematics

1 answer:

slava [35]2 years ago

6 0

Answer:

x = 15

Step-by-step explanation:

We can see that the angle with a measure of 37° and the angle with (9x + 8)° form a straight line, so they add up to 180°. This means that 37 + 9x + 8 = 180.

Step 1: Combine like terms.

$(9x)+(37+8)=180$
$9x+45=180$

Step 2: Subtract 45 from both sides.

$9x+45-45=180-45$
$9x=135$

Step 3: Divide both sides by 9.

$9x/9=135/9$
$x=15$

Therefore, x = 15!

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3 years ago

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Rasek [7]

Answer:

$A(t)=A_{0}e^{\frac{ln(\frac{1}{2})}{22}t}$

Step-by-step explanation:

This half life exponential decay equation goes by the formula:

$A(t)=A_{0}e^{kt}$

Where

$k=\frac{ln(\frac{1}{2})}{Half-Life}$

Since half life is given as 22, we plug that into "Half-Life" in the formula for k and then plug in the formula for k into the exponential decay formula:

So,

$k=\frac{ln(\frac{1}{2})}{Half-Life}\\k=\frac{ln(\frac{1}{2})}{22}$