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Nimfa-mama [501]
2 years ago
12

Simplify the expression. Write your answer as a power. 8¹⁰x8⁴ The simplified expression is

Mathematics
2 answers:
BabaBlast [244]2 years ago
6 0

Answer:

8^{14}

Step-by-step explanation:

When we multiply exponents with the same base, the product it the base to the power of the exponents added together. In this case, the base will remain as 8 and the exponent will be 10 + 4 = 14. Therefore, the answer is 8^{14}.

Anna007 [38]2 years ago
4 0

Answer:

\large\boxed{\sf \sf  8^{14}}

Explanation:

\rightarrow \sf 8^{10}  \  \ x \ \ 8^4

<u>apply exponent rule</u>: \sf \bf a^b\cdot \:a^c=a^{b+c}

\rightarrow \sf  8^{10+4}

\rightarrow \sf  8^{14}

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A certain prescription drug diminishes in the system at a rate of 25% per hour. If a person was administered 1450mg of the drug,
Helen [10]

9514 1404 393

Answer:

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  • about 20 hours

Step-by-step explanation:

The decay factor is 1 -25% = 0.75 per hour, so the exponential equation can be written ...

  r(t) = 1450·0.75^t . . . . . milligrams remaining after t hours

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a) After 4 hours, the amount remaining is ...

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About 459 mg will remain after 4 hours.

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b) To find the time it takes before the amount remaining is less than 5 mg, we need to solve ...

  r(t) < 5

  1450·0.75^t < 5 . . . . use the function definition

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  t·log(0.75) < log(1/290) . . . . . take logarithms (reduce fraction)

  t > log(1/290)/log(0.75) . . . . . divide by the (negative) coefficient of t

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It will take about 20 hours for the amount of the drug remaining to be less than 5 mg.

7 0
3 years ago
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juin [17]

Answer:

It is

Step-by-step explanation:

52² = 20² + 48²

2704 = 400 + 2304

2704 = 2704

Satisfies pythagoras theorem so right angle triangle

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4 years ago
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