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3 years ago

2

Mathematics

1 answer:

emmasim [6.3K]3 years ago

5 0

Answer:

The answer is B

Step-by-step explanation:

hope this helps

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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

9 months ago

For the function f(x)=3x−4 , what is the ordered pair for the point on the graph when x=6 ? Show work for full credit.

Ksivusya [100]

To find the ordered pair, we simply set the x value equal to 6.

We already know the first coordinate will be 6.

f(6) = 3(6) - 4

f(6) = 18 - 4

f(6) = 14

<h3><u>The y value is 14, and so our coordinate pair is (6, 14)</u></h3>

8 0

2 years ago

A hunter spots a bird on a branch of a tree 8m high. If the hunter is 6m away from the foot of the tree. Find the length between

forsale [732]

Answer:

The length is 2m

Step-by-step explanation:

Subtract the distance of the hunter and the bird and you have your answer, 2 meters

5 0

3 years ago

What is the equation of the line

Dovator [93]

Answer:

y=-x+3

Step-by-step explanation:

6 0

2 years ago

HELP PLEASE!! i need help on A and B. PLEASE DONT ANSWER IF YOU DONT KNOW!!

KiRa [710]

Answer: B

Step-by-step explanation:

you use the coordinates to find the sides

4 0

3 years ago