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Scrat [10]
2 years ago
10

(m 5/6) (m1/6) ^7 = m^x

Mathematics
1 answer:
nadezda [96]2 years ago
3 0

Answer:

x = 2

Step-by-step explanation:

Here, we want to find the value of x

(m^5/6)(m^1/6)^7 = m^x

= (m^5/6)(m^7/6) = m^x

Using the law of indices for power multiplication

m^(5/6 + 7/6) = m^x

m^(12/6) = m^x

m^2 = m^x

we simply equate the powers in this case since the base are equal

Thus we have

x = 2

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EastWind [94]

Answer:

P(t) = 200\cdot 0.95^t

Step-by-step explanation:

The lion population in a certain reserve drops by 5\%5%5, percent every year. Currently, the population's size is 200200200.

Write a function that gives the lion population size,

Each year, the population drops to 95% of its previous value. (100 - 5)%

That is, the population is multiplied by 0.95 each year.

Repeated multiplication is signified by an exponent.

Here, that exponent is the number of years from today (t).

<h3>There fore, The population function can be written as ...</h3><h3 /><h3>  P(t) = 200·0.95^t</h3><h3>P(t) = 200\cdot 0.95^t</h3>
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7 0
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Answer:

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Step-by-step explanation:

Replace the x by -7:

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It must be true that a implies c, because of the transitive property.

If a is true, then b is true as well. But every time b is true, c is true as well.

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