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3 years ago

How to benchmark 8/11/12 and 2/11/20

Mathematics

1 answer:

vesna_86 [32]3 years ago

8 0

Number 21 would be 6 39/40

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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

1 year ago

Which one of these show the multiplication property of equality? I know what is it I just don’t see it on here, 5 and 9 both loo

Fofino [41]

Answer:

5 is c 9 is f

8 0

3 years ago

What is the slope of the line that contains the point (13,-2) and (3,-2)

ra1l [238]

The slope of the line that contains the point (13,-2) and (3,-2) is 0

Solution:

Given that we have to find the slope of the line

The line contains the point (13,-2) and (3,-2)

The slope of line is given as:

$m = \frac{y_2-y_1}{x_2-x_1}$

Where, "m" is the slope of line

Here given points are (13,-2) and (3,-2)

$(x_1, y_1) = (13, -2)\\\\(x_2, y_2) = (3, -2)$

Substituting the values in formula, we get,

$m = \frac{-2-(-2)}{3-13}\\\\m = \frac{-2+2}{3-13}\\\\m = 0$

Thus the slope of line is 0

3 0

3 years ago

The residents of a city voted in whether to raise property taxes. The ratio of yes to no votes was 7 to 5. If there were 2889 no

Irina18 [472]

Answer:

3670

Step-by-step explanation:

7 0

3 years ago

Suppose that 48% of people own dogs. If you pick two people at random, what is the probability that they both own a dog?

katovenus [111]

12/25 chance that they both own a dog

8 0

2 years ago