The answer should be 17 because if the triangles are congruent, angle RTS would be equal to angle YZX. So, 2x+24=4x-10
Subtract 2x from both sides to get the variable on one side
24= 2x-10
Then you can add 10 to both sides
34= 2x
Divide by 2
x=17
Answer:
The second one
The third one
Step-by-step explanation:
Answer:
a) 
b) According to these data, the Shroud of Turin has around 760 years.
Step-by-step explanation:
The amount of carbon-14 is modeled by the following equation:

In which
is the initial amount and k is the rate of decrease.
(a) Find the value of the constant k in the differential equation.
Half-life of 5595 years.
So 



Applying ln to both sides


b) In 1988 three teams of scientists found that the Shroud of Turin, which was reputed to be the burial cloth of Jesus, contained about 91 percent of the amount of carbon-14 contained in freshly made cloth of the same material. How old is the Shroud of Turin, according to these data?
This is t when 



Applying ln to both sides


According to these data, the Shroud of Turin has around 760 years.
Answer:
At ; I = 3, P is at maximum
Step-by-step explanation:
P ( I ) = ![[ \frac{80 I}{I^2 + I + g } ]](https://tex.z-dn.net/?f=%5B%20%5Cfrac%7B80%20I%7D%7BI%5E2%20%2B%20I%20%2B%20g%20%7D%20%5D)
at I = 3
P" ( I ) < 0
therefore at I = 3 the value of P( I ) is at maximum
attached below is the detailed solution
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