N=NOe^-kt
N=mass at time t
NO = initial mass
k= 0.1476
t= time, in days
We are asked to find the half-life, which means you want to find how long it will take for half of the substance to decay/disappear (depending on situation).
If we are looking for half-life, we can simply set N to half of NO (which we are given a value of 40grams for)
Therefore:
N = 20
NO = 40
plugging these values and the value given for k back into the equation you get:
20 = 40e^-0.1476(t)
We are looking for t, so we have to manipulate the formula to get t by itself on one side of the equation.
We can start by dividing 40 from both sides, and you get:
0.5 = e^-0.1476(t)
We have the exponential function "e".
To get rid of e, we can use natural log (ln)
if e^y=x then ln (x) = y
look back at our equation we can set
0.5 = x
-0.1476(t) = y
Rewriting it in natural log form:
ln (0.5) = -0.1476(t)
Plug in ln (0.5) on a calculator to find its value and we get:
-0.693147 = -0.1476(t)
*Note: normally, getting a negative value would suggest that we did something wrong, because you cannot have a negative value as your t (you cannot have negative days), but because there is a negative on both sides of the equation, they will cancel out in this case.
The last step is to simply divide both sides by -0.1476
therefore:
T = 4.696119
But it asks you for the answer to the nearest tenth (one place after decimal pt) so
T (half life) = 4.7 days
Hope that helps :)
Answer:
8824.73yd
Step-by-step explanation:
Answer:
the slope is 3/2
Step-by-step explanation:
Answer:
74.5 and 64.5
Step-by-step explanation:
Women midpoints:
54.5 - 0%
64.5 - 30%
74.5 - 35% (most pulse rates from women)
84.5 - 29%
94.5 - 2%
104.5 - 2%
114.5 - 0%
124.5 - 2%
Men midpoints:
0 - 0%
54.5 - 15%
64.5 - 43% (most pulse rates from men)
74.5 - 20%
84.5 - 20%
94.5 - 2%
104.5 - 0%
Answer:
<em>There are 364,000 people in the Air Force.</em>
Step-by-step explanation:
<u>Percentages</u>
The N% of a number M is calculated by:
For example, 15% of 280 is
We know the total amount of people serving as of January is estimated to be 1,400,000 people and that 26% of them are serving in the Air Force.
Compute 26% of 1,400,000:
There are 364,000 people in the Air Force.
