Answer:
Carbon-14 loses around 10% ( 0.1 in decimal form) of its mass, after one millennium.
Then if we start with a mass A of Carbon-14, after one millennium we will have a mass equal to:
A - A*0.1 = A*(0.9)
After another millennium, we will have a mass equal to:
A*(0.9) - A*(0.9)*0.1 = A*(0.9)^2
And so on, this is an exponential decay.
We already can see the pattern here, after x millenniums, the mass of carbon-14 will be:
M(x) = A*(0.9)^x
Now, in this problem we have 600 grams of carbon-14, then the equation for the mass will be:
y = M(x) = 600g*(0.9)^x
And the graph of this equation is shown below.
One <u>possible inequality</u> is:
299m+261j ≥ 1000.
Explanation:
m is the number of cups of milk and j is the number of cups of juice.
Each cup of milk contains 299 mg of calcium. This gives us 299m mg of calcium for m cups of milk drank.
Each cup of juice contains 261 mg of calcium. This gives us 261j mg of calcium for j cups of juice drank.
Together, this would be a total of 299m+261j mg of calcium.
We want to meet or exceed 1000 mg of calcium. This means we could have more than 1000 or equal to 1000; this gives us the inequality symbol "greater than or equal to":
299m+261j ≥ 1000
Answer:
The mean should be 80.5. This means the average number of test scores is 80.5. The mean absolute deviation should be 15.5. This means the average of the values are less than the mean by about 15.5.