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
If the series is
then it is geometric, which we know converges as long as the base is smaller than 1 in absolute value, i.e.
. "Expanding" the absolute value, this is equivalent to
When
is in this interval, the geometric sum converges to
Answer:
area of triangle = 1/2×base×height
area of triangle =1/2×15m×16m
area of triangle =120m²
Go backwards with the problem. 4 times a number would mean 4x. 2 more means you're adding 2. so your answer should be 4x+2
I’m pretty sure the value is 80 because that’s a 90° angle. 90 minus that 10 leaves 80
