X – 6 = 14 – 8 12 0 20 –12

Mathematics

1 answer:

sineoko [7]3 years ago

7 0

Hi there!

Answer:

A. 12. x=12 and 12=x

Step-by-step explanation:

addition property of equality is adding the same number both sides of an equation does not change the equation.

subtraction property of equality is subtraction the same number from both sides of an equation does not change the equation.

multiplication property of equality is multiplying both sides of an equation by the same number does not change the equation.

division property of equality is dividing both sides of an equation by the same number non-zero number does not change the equation.

x-6=14-8

subtract by 6 both sides of an equation.

x-6=6

add by 6 both sides of an equation.

x-6+6=6+6

simplify.

6+6=12

x=12

12-6=6

Hope this helps!

-Charlie

Have a great day!

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Arturiano [62]

Answer:

t = 6162 years

Step-by-step explanation:

Apparently you are asked to use the constant k = 0.0001 instead of the most common 0.00012. We'll answer the problem using such number you typed, but make sure that there is no omission in your typing.

The equation to use is that for carbon decay:

$N(t)=N_0\,e^{-0.0001\,\,t}$

If the skull contains 54% of its original amount of C14, then that means that :

$N(t)=0.54 \,\,N_0$

we use this to solve for the time (t) in our equation:

$0.54\,\,N_0=N_0\,e^{-0.0001\,\,t}\\\frac{0.54\,\,N_0}{N_0}=e^{-0.0001\,\,t}\\0.54=e^{-0.0001\,\,t}\\ln(0.54)=-0.0001\,\,t\\t=\frac{ln(0.54)}{-0.0001} \\t=6161.86\,\,years$