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
Lemur [1.5K]
3 years ago
13

The ratio of 14C to 12C in living organisms is 1.3 × 10-12. The fossilized remains of an organism are discovered and the ratio o

f 14C to 12C in the fossil is measured to be 4.6 × 10-13. How long ago, in years was the organism alive? (The half life of 14C is 5,730 years.)
Mathematics
1 answer:
soldi70 [24.7K]3 years ago
8 0

Answer:

t = 8588 years

Step-by-step explanation:

From the given information:

Using the formula:

k = \dfrac{In (2)}{t_{1/2}}

Given that:

t_{1/2} = 5730 years

Then:

k = \dfrac{In (2)}{5730}

k = \dfrac{0.6931472}{5730}

k = 1.20968 × 10⁻⁴

However; the expression to find the value of x is:

x= x_oe^{-kt}

4.6 \times 10^{-13} = 1.3 \times 10^{-12} \times e^{(-1.20968\times 10^{-4} \times t)}

\dfrac{4.6 \times 10^{-13} }{1.3 \times 10^{-12}}=  e^{(-1.20968\times 10^{-4} \times t)}

0.353846=  e^{(-1.20968\times 10^{-4} \times t)}

(-1.20968 × 10⁻⁴ × t) = In(0.353846)

(-1.20968 × 10⁻⁴ × t) = -1.03889

t = \dfrac{-1.03889}{-1.20968 \times 10^{-4}}

t = 8588 years

You might be interested in
26 = 3x - 2 - 7x show york work but please try to summarize you're explanation
Delvig [45]
26 = 3x - 2 - 7x
26 + 2 = -4x
28 / -4 = x
x = -7
Best answer me please!
6 0
3 years ago
Find a 12% tip on a check for $40.
pickupchik [31]

Answer:

Step-by-step explanation:

40(12/100)

480/100

$4.80

3 0
3 years ago
Read 2 more answers
PLEASE HELP!!!
Pachacha [2.7K]
1. AB 3-2/-1-1
-1/2
BC 2+1/1+3
3/4
AC 3+1/-1+3
4/2=2
It is a right triangle


2. JK -1-2/4+3
-3/7
LM -2+5/-5-2
-3/7
KL -1+5/4-2
<u>4/2=2</u>
JM 2+2/-3+5
<u>4/2=2
</u><u />The quadrilateral is a parallelogram
5 0
3 years ago
Line 1 passes through the points -2,7 and 3,3. Line 2 passes through the points 5,1 and 9,1. Find the slope of each line. Which
RSB [31]

Answer:

The slope of the given line 1 is  -4/5.

The slope of the given line 2 is  0.

The line 2 has a greater slope then line 1.

Step-by-step explanation:

The slope of a line with points (x1,y1) and (x2,y2) is given as:

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

Now, Here the, points of the line 1 are A (-2,7) and B (3,3)

So, here, the slope of line AB  is m = \frac{3 -7}{3-(-2)}  = \frac{-4}{3 +2} =   \frac{-4}{5}

Hence, the slope of the given line 1 is  -4/5.

Now, Here the, points of the line 2 are P (5,1) and Q (9,1)

So, here, the slope of line PQ  is m = \frac{1-1}{9-5}  = \frac{0}{4} =   0

Hence, the slope of the given line 2 is  0.

Now, as we can see  0    >  ( -4 / 5)

So, the line 2 has a greater slope then line 1.

5 0
3 years ago
Please help. I will be constantly asking questions on the app to finish a class and i only have a day​
alekssr [168]

Answer: C 0\leq y\leq 5

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • It took 7 hours to mow 4 lawns. How many lawns can I mow in 35 hours? Confused.. Please Check!!!
    15·1 answer
  • WILL MARK BRAINILESTWhich statements are true about the solution of 15 greater-than-or-equal-to 22 + x? Select three options.
    13·1 answer
  • 20pts PLS EXPLAINN for brainliest
    14·1 answer
  • Use a factor rainbow to determine if 729 is a perfect square. Explain your reasoning.
    10·1 answer
  • 3) the bakers at healthy bakery can make 360 bagels in 2 hours how many bagels can they back in 16 hours? What was the rate per
    5·1 answer
  • Area of circle <br> sector and finding the percentage
    10·1 answer
  • Answer this math problem please
    10·1 answer
  • U+(−5)=−15 What do do to the negative 5 if its ib parentheses
    12·1 answer
  • Evaluate this expression 5•10^2+3<br><br> A.) 2503<br><br> B.) 103<br><br> C.) 503<br><br> D.) 300
    7·2 answers
  • There are nine counters in a bag numbered from one to nine. If a counter is drawn at random from the bag what is the probability
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!