Answer:
a) dm/dt = 0.2m
b) ln(m) = 0.2t + A
c) ln(m) = 0.2t + ln(20) - 0.6
d) 11 grams
Step-by-step explanation:
a) dm/dt = 0.2m
b) dm/m = 0.2dt
ln(m) = 0.2t + A
c) At t = 3, dm/dt = 4
dm/dt = 0.2m
4 = 0.2m
m = 4/0.2 = 20
So, when t = 3, m = 20
ln(20) =0.2(3) + A
A = ln(20) - 0.6
ln(m) = 0.2t + ln(20) - 0.6
d) find m when t=0
ln(m) = 0.2(0) + ln(20) - 0.6
ln(m) = ln(20) - 0.6
ln(m) = 2.3957322736
m = e^2.3957322736
m = 10.9762327224
m = 11
Answer:
The exact form: =- 27/13
Mixed number form = -2 1/13
Step-by-step explanation:
You move all of the terms that do not contain p to the right side and solve.
Answer:
9
Step-by-step explanation:
B²=H²-P²
B²=15²-12²
B²=81
√B=9
therefore it's 9