Please help me solve this problem

Mathematics

1 answer:

Alex3 years ago

8 0

The answer for this is X+2g= 0

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Situation:A researcher in North America discoversa fossile that contains 65% of its originalamount of C-14..-ktN=NoeNo inital am

zheka24 [161]

SOLUTION

We have been given the equation of the decay as

$\begin{gathered} N=N_0e^{-kt} \\ where\text{ } \\ N_0=initial\text{ amount of C-14 at time t} \\ N=amount\text{ of C-14 at time t = 65\% of N}_0=0.65N_0 \\ k=0.0001 \\ t=time\text{ in years = ?} \end{gathered}$

So we are looking for the time

Plugging the values into the equation, we have

$\begin{gathered} N=N_0e^{-kt} \\ 0.65N_0=N_0e^{-0.0001t} \\ e^{-0.0001t}=\frac{0.65N_0}{N_0} \\ e^{-0.0001t}=0.65 \end{gathered}$

Taking Ln of both sides, we have

$\begin{gathered} ln(e^{-0.000t})=ln(0.65) \\ -0.0001t=ln(0.65) \\ t=\frac{ln(0.65)}{-0.0001} \\ t=4307.82916 \end{gathered}$

Hence the answer is 4308 to the nearest year

8 0

11 months ago

PLEASE PLEASE HELP WILL GIVE BRAINLIEST TO CORRECT ANSWER

erastova [34]

Answer:

B. y = -1/2x

Step-by-step explanation:

Because the answer is in point-slope intercept form, we know -1/2 is m. Also, because the equation is setting y equal to x, we know it goes through the origin.

3 0

3 years ago

-4x-7-3x+4=25<br><img src="https://tex.z-dn.net/?f=what%20is%20-%204x%20-%207%20-%203x%20%2B%204%20%3D%2025%20" id="TexFormula1"

kodGreya [7K]

Hi I don’t really understand can you explain a little bit please

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2 years ago

Which graph does NOT represent a function?

natita [175]

Answer:

graph b

Step-by-step explanation: