Answer:
B.
Since it is mirrored, it can also be said that it is a reflection instead of simply a rotation. It is mirrored from left to right, therefore it is reflected about the y-axis. Lastly, it is true that it would have a translation left by 2 units, as you can see it needs to "travel 2 units" to read A'B'C'D'.
Answer:
71 and 73
Step-by-step explanation:
hope this helps!
<span>The sample space of the rolling the cube is 6.
The probability of rolling 2 in a cube is 1. So p(2) is 1/6
Similarly the probability of rolling 5 in cube is 1.
So, p(5) = 1/6
To find p (2 or 5) which is p(2) + p(5)
p(2) + p(5) = 1/6 + 1/6 which is 2/6.
2/6 can be reduced to 1/3.
so right answer is 1/3</span>
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 :)
