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3 years ago

Which of the following are solutions?

Mathematics

1 answer:

rosijanka [135]3 years ago

4 0

4x²-12x+9=5
4x²-12x+4=0

x= 12±√(144-4*4*4) / 2*4

x= 12 ± √(144-64) / 8

x=12±√80. /. 8

x= 12+4√5. /8

x=3±√5 / 2. C and E

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A certain compound has a half-life of four days. Write and use an exponential decay function to find the amount of compound rema

dimaraw [331]

Answer:

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Step-by-step explanation:

-The exponential decay function is given by the formula:

$P_t=P_oe^{-rt}\\\\$

Given that the half-life is 4 days, we can substitute in the formula to solve the rate of decay for a single half-life:

$P_t=P_oe^{rt}\\\\P_t=0.5P_o\\\\\therefore 0.5=e^{-4r}\\\\-4r=In(0.5)\\\\r=0.17329$

#Since, 1 week has 7 days, 3 weeks is a 21-day period, thus, t=21.

#We substitute and solve for the amount remaining after 21days of decay:

$P_t=P_oe^{-rt}\\\\=75e^{-21\times 0.17329}\\\\=1.97072\\\\\approx1.97 \ oz$

Hence, the amount remaining after 3 weeks of decays is approximately 1.97 ounces

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2 years ago

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Helga [31]

I Think 150 divided by 4=37.5

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3 years ago

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Kazeer [188]

Answer:

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Step-by-step explanation:

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Artemon [7]

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