Distance = sqrt (x2 - x1)^2 + (y2 - y1)^2
(-2,8)....x1 = -2 and y1 = 8
(11,2)...x2 = 11 and y2 = 2
now sub
d = sqrt (11 - (-2)^2 + (2 - 8)^2
d = sqrt (13)^2 + (-6^2)
d = sqrt (169 + 36)
d = sqrt 205
d = 14.317...rounds to 14.32 <==
Answer:
Hope u dont mind I just answered this for the points
Step-by-step explanation:
Have a nice day!
There would be no value to the laptop. If you’re looking for the actual value, it would be worth $-375.
t = 12040 years
N=NOe^-kt
N = amount of C-14 at time t
NO = initial amount of C-14
k= 0.0001
t = time (unknown)
We know that the amount found is 30% of the original. Therefore we can simply set N to 30 and NO to 100 because 30% of 100 is 30. Really you can give any amount, but setting it at 100 is the easiest, so long as N is 30% of NO.
so if we set the problem up again using all the given values and the new ones we assigned:
N= 30
NO = 100
30=100e^-0.0001(t)
Remember, you are solving for t, so you have to try and manipulate the formula to get t by itself on one side.
We can divide both sides by 100 and you are left with:
.30=e^-0.0001(t)
You can see that you have "e" which means we can use natural log to get rid of e:
e^y = x and ln(x) = y
.30=e^-0.0001(t)
using the natural log,
.30 = x
-0.0001(t) = y
Therefore:
ln (x) = y
ln (.30) = -0.0001(t)
plug in the value ln(.30) into a calculator and you get:
-1.20397 = -0.0001(t)
*NOTE: normally it would not work if you have a negative answer because you cannot have negative years, however, there is a negative on the other side of the equation which will cancel out so it works in this case.
now to solve for t, we simply divide both sides by -0.0001
Therefore
t = 12039.7
But you have to round to the nearest year so
t = 12040
**NOTE: the k value given (which is the rate at which C-14 decays each year) is very small. That means that you will have a large value for time because it takes so long for the C-14 to decay every year.
Hope that helped :)
Answer:
x= 31 degrees
Step-by-step explanation:
A triangle's angles add up to 180 degrees. Look at the 123, it's not part of the triangle. Subtract it from 180. You should get 57 degrees. Now, make an equation. You know it equals 180, so you add up all the sides like this: 57+92+x=180. After solving the equation, you should get 31 degrees.