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 value of
is
.
Step-by-step explanation:
We need to simplify the numeric expression using property. The expression is as follows :

The property to be used is : 
This property is valid if the base is same. Here, base is x.
In this given problem, x = 4, a = 1/3 and b = 1/5
So,

So, the value of
is
.
Answer:
She will wash 24% windows in one hour
Step-by-step explanation:
If Ava washes 12% windows in half hour
Since 2 half hours makes one hour
Therefore, 2 × 12% will be washed in one hour
That is, Ava will wash 24% windows in one hour
I can’t explain it perfectly because I don’t know
But x = 20
Answer:
0.0001
Step-by-step explanation: