3.5555555556 / the third one
Answer:
The change in temperature per minute for the sample, dT/dt is 71.
°C/min
Step-by-step explanation:
The given parameters of the question are;
The specific heat capacity for glass, dQ/dT = 0.18 (kcal/°C)
The heat transfer rate for 1 kg of glass at 20.0 °C, dQ/dt = 12.9 kcal/min
Given that both dQ/dT and dQ/dt are known, we have;


Therefore, we get;


For the sample, we have the change in temperature per minute, dT/dt, presented as follows;

The mid-segment of a triangle<span> is defined as the </span>segment<span> formed by connecting the midpoints of any two sides of a </span>triangle. Put simply, it divides two sides of a triangle<span> equally. The midpoint of a side divides the side into two equal </span>segments<span>. Hope this helps!</span>
Answer:

Step-by-step explanation:
Please consider the complete question.
Sebastian swan laps every day in the community swimming pool. He swam 45 minutes each day, 5 days each week, for 12 weeks. In that time, he swam 1800 laps. What was his average rate in laps per hour?
Let us convert time taken into hours as:


1 hour = 60 minutes. To convert minutes into hours, we will divide total minutes by 60.

Now, we will divide 1800 by 45 to find average rate in laps per hour as:


Therefore, Sebastian's average rate is 40 laps per hour.
Answer:

Step-by-step explanation:
Let f(x) be the polynomial function of minimum degree with real coefficients whose zeros are 5, -3, and -1 + 3i be f(x).
By the complex conjugate property of polynomials, -1-3i is also a root of this polynomial.
Therefore the polynomial in factored form is 
We expand to get:
We expand further to get:\
