Since 1 kilogram equals 1,000 grams 5 potatoes equals 1,000 grams. 1,000 divided by 5 is 200. This means 1 potato has a mass of 200 grams 1,200 divided by 8 is 150. that means a pear has a mass of 150 grams. Since 200 grams is bigger then 150 grams, that means the potato has greater mass>
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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.
Answer: x=0.25 or 1/4
Step-by-step explanation:
2/3x + 1/6=4/3x
Subtract 2/3x on both sides
double the right side of the equation
for example 2*2/3*2=4/6, leading to 4/6x
4/3* 2/2= 8/6x
Subtract 8/6x-4/6x= 4/6x
Next, 1/6(x6) =4/6x(multiply 6)
1/6*6/1= 1 whole
1=4x Divide 4 on both sides giving you x=1/4 or 0.25
Answer:
The correct choice is option B. y+1/y-1
Step-by-step explanation:
