walmartislife
23.07.2019 •
Mathematics
Since at t=0, n(t)=n0, and at t=∞, n(t)=0, there must be some time between zero and infinity at which exactly half of the original number of nuclei remain. find an expression for this time, thalf.
Solved
Show answers
More tips
- L Leisure and Entertainment Carving: History and Techniques for Creating Vegetable and Fruit Decorations...
- P Photography and Videography How to Choose the Perfect Photo Paper for Your Images?...
- H Health and Medicine What vaccines do children need?...
- H Health and Medicine Reasons for the Appearance of Warts: Everything You Need to Know...
- A Art and Culture How to Learn Screaming: Step-by-Step Guide for Beginners...
- H Health and Medicine Contraceptive Pills After 35: The Importance Of Choosing The Right Medication...
- C Computers and Internet How to Choose a Monitor?...
- H Horoscopes, Magic, Divination Where Did Tarot Cards Come From?...
- S Style and Beauty How to Make Your Lips Fuller? Ideas and Tips for Beautiful Lips...
Answers on questions: Mathematics
- M Mathematics Please help only answer if you are mainly positive....
- M Mathematics please someone give me the measurements of all angles 1 2 3 and 4 with reasoning ASAP thank you in advance...
- M Mathematics The distance between Point P and Point Q was 3600 m. Beng Leong started jogging at 08 35 from Point P and reached Point Q at 08 50. At the same time, Sam started jogging from Point...
- M Mathematics The roots of a quadratic equation are 6 and -3. Which of the following quadratic equations has these roots? A.x ² − 3 − 18 = 0B.x ² + 3 + 18 = 0C.x ² − 3 + 18 = 0D. x² + 3 − 18...
- M Mathematics 205120SINO-V3 COSO - 22...
- M Mathematics A line passes through the point (–2, 7) and has a slope of –5. What is the value of a if the point (a, 2) is also on the line? A: –7 B: –1 C: 1 D: 7...
- M Mathematics If tan(x)=3/5 and sin(x) 0, what is sin(2x)? With STEPS PLEASE AND NO TROLLING....
- M Mathematics Calculate the number between -7 and 6...
- M Mathematics Submit your pair of parametric equations, graphs, tables, and inferences....
- M Mathematics 2 Noreen cycled 48 km from Point A to Point B at a constant speed of 36 km/h. She then cycled back from Point B to Point A at a constant speed of 40 km/h. Find the total time Noreen...
Ответ:
Explanation:
The question is incomplete, so I did some research and found the complete question in internet.
The complete question is:
Suppose a radioactive sample initially contains N0unstable nuclei. These nuclei will decay into stable nuclei, and as they do, the number of unstable nuclei that remain, N(t), will decrease with time. Although there is no way for us to predict exactly when any one nucleus will decay, we can write down an expression for the total number of unstable nuclei that remain after a time t:
N(t)=No e−λt,
where λ is known as the decay constant. Note that at t=0, N(t)=No, the original number of unstable nuclei. N(t) decreases exponentially with time, and as t approaches infinity, the number of unstable nuclei that remain approaches zero.
Part (A) Since at t=0, N(t)=No, and at t=∞, N(t)=0, there must be some time between zero and infinity at which exactly half of the original number of nuclei remain. Find an expression for this time, t half.
Express your answer in terms of N0 and/or λ.
1) Equation given:
← I used α instead of λ just for editing facility..
Where No is the initial number of nuclei.
2) Half of the initial number of nuclei: N (t-half) = No / 2
So, replace in the given equation:
3) Solving for α (remember α is λ)
αt ≈ 0.693
⇒ t = ln (2) / α ≈ 0.693 / α ← final answer when you change α for λ
Ответ:
Sample Response: The solution means that Riko will be behind Yuto from the time she leaves the house, which corresponds to t = 0, until the time she catches up to Yuko after 52.5 minutes, which corresponds to t = 52.5. The reason that t cannot be less than zero is because it represents time, and time cannot be negative.
Step-by-step explanation: