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vovangra [49]
3 years ago
9

Need help with this ASAP

Mathematics
1 answer:
MrRa [10]3 years ago
8 0

Answer:

7) is not an arithmetic sequence...

9) 0.5 \cdot 4^x

10) -0.25 \cdot (-8)^x

Step-by-step explanation:

7 is not an arithmetic sequence because consecutive terms of the sequence do not have a constant common difference.

9 has a first term of 0.5 and has a common ratio of 4 (the quotient between the second term and first, then third term and second, etc.). Thus, your equation is  0.5 \cdot 4^x

10 has a first term of -0.25 and has a common ratio of -8 (the quotient between the second term and first, then third term and second, etc.). Thus, your equation is -0.25 \cdot (-8)^x

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The full answer is below.

Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

7 0
3 years ago
Element X decays radioactively with a half-life of eight minutes. If there are 800 g of element X, how long, to the nearest 10th
Harman [31]

Answer: 41.5 min

Step-by-step explanation:

This problem can be solved with the Radioactive Half Life Formula:  

A=A_{o}.2^{\frac{-t}{h}} (1)

Where:  

A=22 g is the final amount of the radioactive element

A_{o}=800 g is the initial amount of the radioactive element  

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So, we need to substitute the given values and find t from (1):  

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\frac{22 g}{800 g}=2^{\frac{-t}{8 min}} (3)  

\frac{11}{400}=2^{\frac{-t}{8 min}} (4)  

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