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2 years ago

8

PLEASE HELP IM BEGGING

1 answer:

dedylja [7]2 years ago

4 0

The answer is C 1/4.

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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

4 months ago

-2-(-9)-(-2)<br>plz show work

BaLLatris [955]

Answer:

-2-(-9)-(-2)=-2+9+2

=9

3 0

2 years ago

Read 2 more answers

In a village, there was an epidemic and the population decreased by 10%. If there were only 1800 people left in the village, wha

tester [92]

$\bold{\boxed{\huge{\blue{\underline{Answer }}}}}$

$\bold{\underline{ Given :- }}$

$\sf{The\: population\: is\: decreased \:by\: 10 percent }$

$\sf{There\: were \: only \: 1800 \: people \: left}$

$\bold{\underline{ To\: Find :- }}$

$\sf{we \: have \: to \: find\: original \: population? }$

$\bold{\underline{ Let's \: Begin :- }}$

$\sf{Let \: the \: total \: population\: be \: x }$

$\sf{\underline{ Therefore }}$

$\sf{According \: to \: the \: question }$

$\sf{ x - 10/100 = 1800 }$

$\sf{ 100x - 10/100 = 1800}$

$\sf{ 100x - 10 = 1800 × 100}$

$\sf{100x - 10 = 180000}$

$\sf{ 100x = 180000 + 10}$

$\sf{ x = 180010/100}$

$\sf{ x = 1800.1 }$

$\bold{\pink{Hence , The\: original \:population \:of \: the\: village \:is \:1800.1 }}$

7 0

2 years ago

Please help thanks

qwelly [4]

Answer:

x = 7 is your answer.

Step-by-step explanation:

Here is what you do:

<em>x + 16 = 4x - 5</em>

<em>-3x + 16 = -5</em>

<em>-3x = -21</em>

x = 7 is your answer.

4 0

2 years ago

6.1.3 quiz pythagorean theorem question 9

Olegator [25]

Answer: 14.73

Step-by-step explanation:

The given triangle is a right angle triangle.

EF^2 + DF^2 = ED^2

The hypotenuse is |ED| while the two shorter legs are |EF| and |DF|.

We can then apply the Pythagoras Theorem to find the length of EF.

(EF)^2 + (DF)^2 = (ED)^2

(EF)^2 + (12)^2 = (19)^2

(EF)^2 + 144 = 361

(EF)^2 = 361 - 144

(EF)^2 = 217

EF = 14.73

6 0

2 years ago