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
Serggg [28]
2 years ago
14

Suppose that a mineral body formed in an ancient cataclysm—perhaps the formation of the earth itself— originally contained the u

ranium isotope 238U (which has a half-life of 4:51 109 years) but no lead, the end product of the radioactive decay of 238U. If today the ratio of 238U atoms to lead atoms in the mineral body is 0.9, when did the cataclysm occur?
Mathematics
1 answer:
Radda [10]2 years ago
8 0

Answer:

The cataclysm occured 6.85x10^8 years ago.

Step-by-step explanation:

Considering that the half-life is 4.51x10^9 years, the first step to solve this problem is finding k by the formula k=ln(0.5)/t(half-life). This constant of decay can then be replaced in the N=No x e^(-kt). Since the problem states that the ratio N/No = 0.9, solving the formula for t will give you a time of 6.85x10^8 years. The question was when did the cataclysm occured so it is safe to say that it was about 685,000,000 years ago.

You might be interested in
Please help me asap
Arada [10]

Answer:

See explanation

Step-by-step explanation:

Car A: Started at 0 and ended at 300, thus, car A travels 300 miles.

It travels 6 hours, so car A speed is \frac{300}{6}=50 mph.

Car B: Started at 100 and ended at 300, thus, car B travels 300-100=200 miles.

It travels 5 hours, so car B speed is \frac{200}{5}=40 mph.

Since 50>40, car A traveled faster than car B.

The graph for the car A is steeper than the graph for the car B.

6 0
3 years ago
g Suppose the population 10-year cumulative incidence of prostate cancer among 70-year old men is 0.06. Further, suppose 260 men
Rainbow [258]

Answer:

There is not enough statistical evidence to conclude that the cumulative incidence of prostrate cancer among 50-year old men differs from that of 70-year old men

Step-by-step explanation:

The population 10 year cumulative incidence of prostrate cancer among 70 year old men, p = 0.06

The number of 50 year old men in the sample, n = 260 men

The number of the sampled men that developed prostrate cancer = 13 men

The significance level, α = 0.05

Let the null hypothesis, H₀: \hat{p} = p

The alternative hypothesis, Hₐ: \hat{p} ≠ p

The standard score, z_{\alpha /2} = 1.96

The test statistic, 'z', is given as follows;

z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p \cdot q}{n}}}

\hat{p} = 13/260 = 0.05

q = 1 - p = 1 - 0.06 = 0.94

Therefore,  \ z=\dfrac{0.05-0.06}{\sqrt{\dfrac{0.06 \times 0.94}{260}}} = \dfrac{\sqrt{9165} }{141} \approx -0.68

From the z-table, we find the p-value as follows;

P(z ≈ -0.68) = 0.24825

Therefore, given that the p-value, 0.24825 is larger than the significance level, α/2 = 0.025, we fail to reject the null hypothesis, and therefore, there is not enough statistical evidence to conclude that the cumulative incidence of prostrate cancer among 50-year old men differs from that of 70-year old men

5 0
2 years ago
Helpppppppppppppppppp<br> Pppppo
pantera1 [17]

Answer:

(2 * L)+(2 * W)

Step-by-step explanation:

4 0
3 years ago
Two times the quantity<br> three more than x is nine
Yuki888 [10]

Answer:

X = 1.5 if that is your question

Step-by-step explanation:

8 0
2 years ago
It cost 17 and $.70 send 170 in text messages how many text messages did you send if you spent $19.10?
ZanzabumX [31]

Answer:

184

Step-by-step explanation:

17.70 / 170 = .104 per text

19.10 / .104 = 183.65 round up to 184

6 0
3 years ago
Other questions:
  • What is the value of x in the solution to the system
    10·1 answer
  • The graph shows the location of Gary's, Joan's, and Kash's houses on a coordinate plane. Each unit on the graph represents 1 mil
    15·2 answers
  • Simplify this expression:<br> -2x+3 - (5 - 6x).
    14·2 answers
  • What is the area of the following circle? D = 8
    14·1 answer
  • How would you find the circumference of a circle if you know the area of the circle?
    8·1 answer
  • I WILL MAKE YOU THE BRAINLIEST EASY QUESTION
    6·2 answers
  • A lighting Products company has put a new brand of solar lightbulbs on the market the graph shows the estimated revenue in milli
    12·2 answers
  • .....................................:.
    10·2 answers
  • In the accompanying diagram, which is an
    5·1 answer
  • What is X?<br> in decimal form plz
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!