Answer:
310
Step-by-step explanation:
The maximum possible number is obtained when each family owns one appliance only. That total is ...
60 + 85 +70 +95 = 310
The maximum possible number of families is 310.
The equation for the slope of a line is:
y2-y1/x2-x1
So:
-4-1/1-2 = -5/-1 =5
The slope of the line is 5.
Answer:
{3/2, 4}
Step-by-step explanation:
Set x - 4 = 0 and solve for x: x = 4 is a solution.
Seet 2x - 3 = 0 and solve for x: 3/2 is another solution.
Answer:
a) k = 0.0001245 /year
b) The Shroud of Turin is 757.52 years old.
Step-by-step explanation:
a) dC/dt = - KC
dC/C = - kdt
Integrating the left hand side from C₀ to C₀/2 and the right hand side from 0 to t(1/2) (where t(1/2) is the radioactive isotope's half life)
In [(C₀/2)/C₀] = - k t(1/2)
In (1/2) = - k t(1/2)
- In 2 = - k t(1/2)
k = (In 2)/t₍₁,₂₎
t(1/2) is given in the question to be 5566 years
k = (In 2)/5566 = 0.0001245 /year
b) dC/C = - kdt
Integrating the left hand side from C₀ to C and the right hand side from 0 to t
In (C/C₀) = - kt
C/C₀ = e⁻ᵏᵗ
C = C₀ e⁻ᵏᵗ
When C = 91% of C₀ = 0.91 C₀, solve for t
0.91 C₀ = C₀ e⁻ᵏᵗ
0.91 = e⁻ᵏᵗ
e⁻ᵏᵗ = 0.91
- kt = In 0.91 = -0.00943
t = - 0.00943/(-0.0001245) = 757.52 years.
