Answer:
6) 7.85 7) 32.97
Step-by-step explanation:
6) p= 3.14×(5/2)
p= 7.85
7) p= 3.14×10×5
p= 32.97
Newton's Law of Cooling
Tf=Ts+(Ti-Ts)e^(-kt) where Tf is temp at time t, Ts is temp of surroundings, Ti is temp of object/fluid. So we need to find k first.
200=68+(210-68)e^(-10k)
132=142e^(-10k)
132/142=e^(-10k)
ln(132/142)=-10k
k=-ln(132/142)/10
k≈0.0073 so
T(t)=68+142e^(-0.0073t) so how long until it reaches 180°?
180=68+142e^(-0.0073t)
112=142e^(-0.0073t)
112/142=e^(-0.0073t)
ln(112/142)=-0.0073t
t= -ln(112/142)/(0.0073)
t≈32.51 minutes
Answer:
Data Set 1: 20
Data Set 2: 25
Step-by-step explanation:
Range = maximum value - minimum value
Range of Data Set 1:
Maximum value of data set 1 = 40
Minimum value of data set 1 = 20
Range of Data Set 1 = 40 - 20 = 20
Range of Data Set 2:
Maximum value of data set 2 = 60
Minimum value of data set 2 = 35
Range of Data Set 2 = 60 - 35 = 25
Answer:
2y-2x-2y= - 22x = 0x + 2y = 1
Step-by-step explanation:
Answer:
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