1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alex787 [66]
4 years ago
8

An anthropologist finds bone that her instruments measure it as 0.717% of the amount of carbon-14 the bones would have contained

when the person was alive. How long ago did the person die? The half life of carbon 14 is 5,730 years. Round your answer to the nearest thousand .
****PLEASE HELP****
Mathematics
1 answer:
ExtremeBDS [4]4 years ago
3 0
The relationship for radioactive decay is given by:

N(t) = N₀ * exp(-kt), where k is the decay constant.

We may substitute k using the equation:
k = 0.693 / t₀.₅, where t₀.₅ is the half life of the substance

The equation becomes:

N(t) = N₀ * exp(-0.693t / t₀.₅)

The ratio of N(t) : N₀ is 0.717%, or 0.00717. Using this

0.00717 = exp(-0.693t / 5,730)

0.693t = 28,294
t = 40,828.3

The person was alive almost 41,000 years ago.
You might be interested in
If the volume of a cylinder with a height of 3 feet is 75r cubic feet, find the surface area of the cylinder
Valentin [98]

Answer:

c

Step-by-step explanation:

8 0
3 years ago
What is 7/24 by 35/38
Monica [59]
<span><span>If you would like to </span>divide 7/24 by 35/38, you can calculate this using the following steps:<span>

7/24 / 35/38 = 7/24 * 38/35 = (7 * 38) / (24 * 35) = 19/60

<span>The correct result would be </span>19/60<span>.</span></span></span>
7 0
4 years ago
How many ways are there to assign 8 visiting different studetns to one Stony Brook summer course, chossing from Calculus I, Line
Dmitry_Shevchenko [17]

Answer:

56 ways

Step-by-step explanation:

Number of ways is given by n combination r (n!/(n - r)!r!)

n = total number of students = 8, r = the number of summer courses = 3

Number of ways = 8 combination 3 = 8!/(8-3)!3! = 8!/5!3! = 8×7×6×5!/5!×6 = 8×7 = 56 ways

6 0
3 years ago
If you roll two fair six-sided dice, what is the probability that both dice show an odd number?
OLEGan [10]

Answer:

1/4

Step-by-step explanation:

Both dice have odd numbers 1, 3, 5. The chances of getting an odd number on each number is 3/6

The probability of getting odd numbers on both is:

3/6 ⋅ 3/6 = 9/36 = 1/4

5 0
3 years ago
Read 2 more answers
The data below are the ages and systolic blood pressures (measured in millimeters of mercury) of 9 randomly selected adults. Wha
seraphim [82]

Answer:

\sum_{i=1}^n x_i =459

\sum_{i=1}^n y_i =1227

\sum_{i=1}^n x^2_i =24059

\sum_{i=1}^n y^2_i =168843

\sum_{i=1}^n x_i y_i =63544

With these we can find the sums:

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=24059-\frac{459^2}{9}=650

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=63544-\frac{459*1227}{9}=967

And the slope would be:

m=\frac{967}{650}=1.488

Nowe we can find the means for x and y like this:

\bar x= \frac{\sum x_i}{n}=\frac{459}{9}=51

\bar y= \frac{\sum y_i}{n}=\frac{1227}{9}=136.33

And we can find the intercept using this:

b=\bar y -m \bar x=136.33-(1.488*51)=60.442

So the line would be given by:

y=1.488 x +60.442

And then the best predicted value of y for x = 41 is:

y=1.488*41 +60.442 =121.45

Step-by-step explanation:

For this case we assume the following dataset given:

x: 38,41,45,48,51,53,57,61,65

y: 116,120,123,131,142,145,148,150,152

For this case we need to calculate the slope with the following formula:

m=\frac{S_{xy}}{S_{xx}}

Where:

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}

So we can find the sums like this:

\sum_{i=1}^n x_i =459

\sum_{i=1}^n y_i =1227

\sum_{i=1}^n x^2_i =24059

\sum_{i=1}^n y^2_i =168843

\sum_{i=1}^n x_i y_i =63544

With these we can find the sums:

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=24059-\frac{459^2}{9}=650

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=63544-\frac{459*1227}{9}=967

And the slope would be:

m=\frac{967}{650}=1.488

Nowe we can find the means for x and y like this:

\bar x= \frac{\sum x_i}{n}=\frac{459}{9}=51

\bar y= \frac{\sum y_i}{n}=\frac{1227}{9}=136.33

And we can find the intercept using this:

b=\bar y -m \bar x=136.33-(1.488*51)=60.442

So the line would be given by:

y=1.488 x +60.442

And then the best predicted value of y for x = 41 is:

y=1.488*41 +60.442 =121.45

3 0
3 years ago
Other questions:
  • A jar holds 128 fluid ounces of juice. The label says the jar has 16 servings. How many fluid ounces are needed for 80 servings?
    6·2 answers
  • Which quantity is proportional to 90/2?
    14·1 answer
  • A student bought 3 boxes of pencils and 2 boxes of pens for $6. He then bought 2 boxes of pencils and 4 boxes of pens for $8. Fi
    7·2 answers
  • The function h(x) is quadratic and h(3) = h(–10) = 0. Which could represent h(x)?
    10·2 answers
  • My dumb brain can’t think anymore helppp
    14·1 answer
  • you roll a pair of six-sided dice (each can be a 1,2,3,4,5, or 6). What is the probability that the sum of your dice is greater
    14·1 answer
  • 12x+3=6<br> to<br> 4x+1=2<br> Please explain how it went from first one to second one.
    6·1 answer
  • Dan's gas tank is 3/8
    6·1 answer
  • I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont k
    11·2 answers
  • A cone is 10cm high and has a base radius of 8cm.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!