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:
13 + 10 + 10= 23, 33
11 + 11 + 11 = 22, 33
Angela is cheaper for two
Same price for 3
Teresa is cheaper for 4
Step-by-step explanation:
You should choose who you want by the hours you will be gone knowing who is more and less
First you have to find the area of the triangle ( 4 + 6 = 7.2) then you have to subtract that area from the area of the rectangle ( 66 - 7.2 = 58.8). The answer is 58.8
It is shown that by looking at the formula for the volume of a cylinder (we assume that the trash can is cylindrical):
V = pi*r^2*h
We can conclude that the volume of the trash can is directly proportional to its radius and height. To wrap up, the volume would increase as the radius of the trash can's base, and its height would be increased as well.