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Semmy [17]
1 year ago
11

How long will it take before twenty percent of our 1,000-gram sample of uranium-235 has decayed? [See Section 6.6 Example 13] Th

e decay equation is A(t)=A_0e^{Kt} , where t is the time for the decay, and K is the characteristic of the material. Suppose T is the time it takes for half of the unstable material in a sample of a radioactive substance to decay, called its half-life. Prove that K= \frac{ln0.5}{T} . What is T for the uranium-235? Show the steps of your reasoning.
Mathematics
1 answer:
horsena [70]1 year ago
8 0

Answer:

From what I can see of the problem, you CANNOT solve for the half-life of U 235 AND then solve for the length of time to determine the 20% decay.

U-235 half-life is 704,000,000 years. (Wikipedia)

The elapsed time formula = half-life * [log (Beginning Amount / ending amount) / log 2]

elapsed time = 7.04 x 10^8 * [log (100 % / 80%) / log 2]

elapsed time =7.04 x 10^8 *  [log (1.25) / .30103]

elapsed time =7.04 x 10^8 *  [0.096910 / .30103]

elapsed time = 7.04 x 10^8 *  0.321928047

elapsed time = 226,637,000 years

Step-by-step explanation:

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Write three to five sentences explaining which levels of production provide Alonzo’s Cycling with the maximum profit.
denis-greek [22]

Answer:

The maximum profit can be attained when 4 bikes are produced each day.

Step-by-step explanation:

Look at the attached picture:

In the table given in the picture,  the number of bikes produces varies. We cannot properly compare the profits per day. To be consistent, let us determine the profit per unit of bike produced.The relationship between cost, revenue and profit can be as:

Profit = Revenue - Cost

To find the profit per unit of bike, simply divide the profit with the number of bikes produced (1st column). After you see the results, we can see that the highest profit is $17.5 per unit of bike produced. Therefore, the maximum profit can be attained when 4 bikes are produced each day.

7 0
2 years ago
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At Royston's favorite clothing store, the cost of a pair of jeans is $4 more than twice the cost of a shirt. The cost of a pair
MrRa [10]
J(jeans) = 2s + 4
d(dress pants) = 2.5s - 2
s = shirt

he spent : 2s + 4 + 2.5s - 2 = 4.5s + 2



8 0
1 year ago
Which sample fairly represents the population? Select two options.
katen-ka-za [31]

Answer:

C! ITS C!!!

Step-by-step explanation:

5 0
1 year ago
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Mixed numbers between 0 and 2 with an interval of 1/3 between each pair of mixed numbers
Marysya12 [62]
A mixed number is a whole number plus a fraction.The smallest whole number is 1.So no mixed number can be less than 1.
Mixed numbers that are 1/3 apart and are between 0 and 2 
could be (1-1/3) and (1-2/3).
They could also be (1-1/6), (1-1/2), and (1-5/6) .
3 0
2 years ago
Mr. Trager has $600.00 to spend at a bicycle store
Snowcat [4.5K]

Answer:

Step-by-step explanation:

Total money = $600

Bicycle cost = $253.98

3 bicycle reflector = 3×$7.5 =$22.5

Bicycle helmet = $42.36

Total money spent will be equal to the = $(253.98+22.5+42.36)

= $318.84

Amount remaining = $(600-318.84)

= $281.16

The number of outfit he can get at $78.12 = $281.16/78.12 = 3.60

He can get 3 outfit and have $0.60

Left

7 0
1 year ago
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