A) You want to find t such that
.. C(t) = d
.. d = 20 +60*0.95^t
.. (d -20)/60 = 0.95^t
.. log((d -20)/60) = t*log(0.95)
.. t = log((d -20)/60)/log(0.95) . . . . . . time to cool to d degrees (d > 20)
b) C'(t) = 60*0.95^t*ln(0.95)
.. C'(1) = 60*0.95*ln(0.95) ≈ -2.924 °C/min
Answer:
18
Step-by-step explanation:
Hello
The number is more by three than a multiple of of 5 (i.e 5x +3) and more than 2 than a multiple of 4 (ie 4y+2(
Now 5x+3=4y+2
ie 5x +1 =4y
we need to give the lowest pair of values to x and y such that the last equality is satisfied.
By trial, x = 3 and y = 4
thus the number is 5x+3 =5(3)+3 =18=4y+2 =4(4)+2=18
I hope it has helped you.
Answer:
the answer is 5 hours.
Step-by-step explanation:
If you graph the system of equations, it will end up with (5,45) and they are asking for the x
I don't know algebra 1 sorry but i can do some pre-algebra and calculus