Step-by-step explanation:
first do prime factorization of 324= 2×2×3×3×3×3
= 2 square, 3 square,3 square
therefore 324 is a perfect square
Now,
prime factorization of 588=2×2×3×7×7
= 2 square,7 square ,3
therefore 588 is not a perfect square
15. would be 1/2 because if you simplify 16/32 to 8/16 (dividing by 2 each time), then to 4/8, then 2/4, and lastly 1/2
you really dont need to do all of that because 16/32 is already 1/2 (16 is half of
32)
16. the answer would be 7/12 because if you divide 21/36 both by 3 you get 7/12 and you cant go any more simpler.
Answer:
The mass of the radioactive sample after 40 minutes is 12.8 g.
Step-by-step explanation:
The mass of the sample can be found by using the exponential decay equation:

Where:
N(t): is the amount of the sample at time t =?
N₀: is the initial quantity of the sample = 120 g
t = 40 min
λ: is the decay constant = 0.056 min⁻¹
Hence, the mass of the sample after 40 min is:

Therefore, the mass of the radioactive sample after 40 minutes is 12.8 g.
I hope it helps you!
Answer: 72
Step-by-step explanation:
Answer:
1680 kwhr
Step-by-step explanation:
See attached for explanation. I converted watt*hr to kW*hr by dividing by 1000.
Fans Bulbs
40 100
50 60 W
10 6 hours/day
20000 36000 W*hr/day
30 30 days/month
600000 1080000 W*hr/month
600 1080 kWhr/month
Total = 1680 kWhr/month