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
To graph the new shape, you must move each vertex down 3 units. This causes Q to become (1, 0), L to become (5, -2), and Q to become (1, 0). These values can be found by simply counting down by three for each point.
Answer:
1600 after 24 hours
Step-by-step explanation:
100+100 = 200 after 6 hours
200+200 = 400 after 12 hours
400+400 = 800 after 18 hours
800+800 = 1600 after 24 hours
Answer:mick share is £4 while Sharon share is £8
Step-by-step explanation:
Money to be shared=£12
Mick : sharon=2:4
Sum of ratio=2+4=6
Mick share=2/6 x 12
Mick share=(2x12)/6
Mick share=24/6
Mick share=4
Sharon share=4/6 x 12
Sharon share=(4x12)/6
Sharon share=48/6
Sharon share=48/6
Sharon share=8
Answer:
B
Step-by-step explanation:
