Can someone answer this math question please???
1 answer:
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Answer:
The energy a 15,000 g block of ice will absorb in order to melt is 4995 kJ
Step-by-step explanation:
The question relates to the latent heat of fusion of ice, that is the heat absorbed by the solid ice to convert it to liquid water without changing its temperature.
The formula for the energy required to melt the ice is presented as follows;
Energy required = Mass, m × Latent heat of fusion, , of ice
Hence, the mass, m, of the ice = 15,000 g
Latent heat of fusion, , of ice = 333 J/g
Therefore;
Energy required = 15,000 g × 333 J/g = 4995000 J
Hence;
The energy a 15,000 g block of ice will absorb in order to melt = 4995000 J
1000 J = 1 kJ
1 J = 1/1000 kJ
Therefore, 4995000 J = (4995000 J)/(1000 J/kJ) = 4995 kJ.
Which gives;
The energy a 15,000 g block of ice will absorb in order to melt = 4995 kJ.
Using a geometric sequence, it is found that:
a) For the first 5 weeks, the numbers are: 2, 4, 8, 16, 32
b) Hence some of the volunteers can stop recruiting new volunteers during the 7th week.
<h3>What is a geometric sequence?</h3>A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
In which is the first term.
For this problem, on the first week there are 2 people, and since each new people involve two more, the common ratio is of 2, hence the parameters for the geometric sequence are:
Hence the number of people after n weeks is:
For the first 5 weeks, the numbers are:
There will be 150 volunteers when , hence:
The above is because 2^7 = 128 and 2^8 = 256, and 128 < 150 < 256.
Hence some of the volunteers can stop recruiting new volunteers during the 7th week.
More can be learned about geometric sequences at brainly.com/question/11847927
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