Answer:
- Initial amount of the material is 67 kg
- Hal-life is 83 hours
<u>The required equation is:</u>
- m(x) = 67 *
, where m- remaining amount of the radioactive material, x - number of hours
<u>After 5 hours the material remains:</u>
- m(5) = 67 *
= 64.260 (rounded)
Hello! For ease of calculations, we can identify the time it took for the weight to bounce back to the other direction, then the other, and then back to its original position by looking at the time it took for the weight to change from 0 to 25 to 0 to -25 then back to 0. This is one whole cycle of the weight.
By the time the weight first reached zero, 1.5 seconds has passed. By the third time it got to zero again, 7.5 seconds has passed. Therefore, one whole cycle of the weight is 7.5-1.5 = 6.0 seconds.
ANSWER: One whole cycle of the weight took 6 seconds.
The total time taken to cover 12 miles distance is 5 hours.
<u>Given the Parameters</u> :
- Total distance hiked = 12 miles
Recall :
Let :
<u>We could create an equation thus</u> :
Total distance = 3(2) + 2(t - 2)
12 = 6 + 2t - 4
12 = 2 + 2t
12 - 2 = 2t
10 = 2t
t = 10/2
t = 5
Therefore, the total time taken is 5 hours
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Answer:
<em>D.) It has a common difference of 3.8</em>
Step-by-step explanation:
When you subtract 
you get a common difference, the same goes for the other values: when you subtract the previous term from the next, you get a common difference of positive 3.8
