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Leya [2.2K]
3 years ago
11

Please help me with this question I will give BRAINLIEST to the correct answer

Mathematics
1 answer:
anyanavicka [17]3 years ago
5 0

A)   y= (-1/2)x+50

 (y=(-1/2)4 +50 = -2+50= 48)

Y=( -1/2 )8-50=-4+50 =46

B)    -1/2X+50>=40

         -1/2X>= -10

           X<=20

To start the meeting with 40 students it should be 20 minutes or less before the meeting

 Draw the line with the zero in the middle

Draw a closed circle at +20 and from that point draw a line to the left


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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.

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Answer:

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