To calculate the remaining caffeine, we use the radioactive decay formula which is expressed as An = Aoe^-kt where An is the amount left after t time, Ao is the initial amount and k is a constant we can calculate from the half-life information. We do as follows:
at half-life,
ln 1/2 = -k(6)
k = 0.12/hr
An = 80e^-0.12(14)
An = 15.87 mg
Answer:
y=3x+2
Step-by-step explanation:
For a the equation is y=3x+2 because he makes 3 every hour (3x) and he already has 2 (+2).
For the graph you replace x with any number and solve. Plot the point.
Then you do it again but with a different x.
Finally you draw a straight line trough the 2 points.
Answer:
400,000
Step-by-step explanation:
The given sum is 164,215+216,088
We simplify this to get:
164,215+216,088=380,303
The digit at the hundred thousand position is the rightmost 3.
The digit after it is 8.
Since 8≥5 we round up.
We add 1 to 3 to get 4 and replace all digits to the right with zeros.
We round to the nearest hundred thousand to get:
400,000
Both ........................
Answer:
111/40
Step-by-step explanation:
3 2/5=17/5
17/5-5/8=111/40