Answer:
Per hour decay of the isotope is 0.96%.
Step-by-step explanation:
Amount of radioactive element remaining after t hours is represented by
where a = initial amount
t = duration of decay (in hours)
Amount remaining after 1 hour will be,
y = 0.9904a
So amount of decay in one hour = a - 0.9904a
= 0.0096a gms
Percentage decay every hour = 
= 
= 0.958 %
≈ 0.96 %
Therefore, per hour decay of the radioactive isotope is 0.96%.
We conclude that 375 portions can be sold.
<h3>
How many portions can be sold?</h3>
We know that 500 portions have been ordered, but only 5/6 of that was delivered, so the number of delivered portions is:
p = (5/6)*500 = 416.6
Which we can round to the next whole number, 417.
Now we know that 10% of these are given to the players and staff, then the number of portions that can be sold is the 90% of 417, which is:
N = 417*(90%/100%) = 417*0.9 = 375
We conclude that 375 portions can be sold.
If you want to learn more about percentages:
brainly.com/question/843074
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Answer:
39.6 cm
Step-by-step explanation:
Applying
s = 2πrθ/360................ Equation 1
Where s = length of an arc or distance traveled by the minutes hand of the clock during the 42 munites, r = length of the minutes hand of the clock, θ = Angle traveled by the minute hand of the clock for every 42 minutes
From the question,
Given: r = 9 cm, θ = 252°
Constant: π = 22/7 = 3.14
Substitute these values into equation 1
s = (2×3.14×9×252)/360
s = 39.564
s = 39.6 cm
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