The ratio of carbon-14 to carbon-12 in a piece of wood discovered in a cave is R = 1/917. Estimate the age of the piece of wood

Mathematics

1 answer:

Colt1911 [192]3 years ago

7 0

Answer:

The answer is " $\bold{6.6 \times 10^{12}\ years}$ "

Step-by-step explanation:

Let the given value is:

$R=\frac{1}{9^{17}}\\\\\to \frac{N_{c_{14}}}{N_{c_{12}}}=\frac{1}{9^{17}}\\\\\to t=\frac{2.303 \times 9^{17}}{5717}=6.6\times 10^{12}\ years$

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Jed bought a generator that will run for 2 hours on a liter of gas. The gas tank on the generator is a rectangular prism with di

IceJOKER [234]

Answer:

The generator will run for 6 hours.

Step-by-step explanation:

First, find the volume of the gas tank that is on the generator. I am told that the gas tank is a rectangular prism that has the dimensions of 20 cm, 15 cm, and 10cm.

Area of any prism = height * width * length

Area of prism = 20 cm * 15 cm * 10 cm = 3,000 cm cubed

I am told the important info that 1,000 cm cubed = 1 liter

Therefore, 3,000 cm cubed = 3 liters

I am also told that the generator will run for 2 hours on 1 liter of gas

Lets make a ratio table:

Hours the generator will run for : liters of gas

2 : 1

6 : 3

the generator will run for 6 hours.

6 0

3 years ago

I don’t understand these

BaLLatris [955]

So these are basically isolating the variables.
The first equation is 3g + 5 =17.
In order to isolate the variable, we would have to get g by itself, that means 5 would have to go. In order to do this, we would do the opposite. Since it is positive 5 we would add negative 5, in order for it to disappear. This works because a positive 5 and negative 5 cancel each other out. Whatever you do to one side of the equation you have to do to the other, since we subtract 5 on one side we have to subtract 5 on the other. Therefore we would do 17-5.
Now we have 3g=12
We know that 3g is basically 3 multiplied by g. The opposite of multiplication is division.Therefore we would divide by 3 on both sides.
The answer to the first question would be g= 4.
And if you want to check if your answer is correct you plug the value in.
So
3(4) + 5 =17

5 0

3 years ago

In the parabola y = (x + 12 + 2, what is the vertex?

VladimirAG [237]

Answer:

The vertex is the point (-6,-34)

Step-by-step explanation:

we know that

The equation of a vertical parabola into vertex form is equal to

$y=a(x-h)^{2}+k$