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sertanlavr [38]
3 years ago
6

Lavania is studying the growth of a population of fruit flies in her laboratory. After 6 days she had nine more than five times

as many fruit flies as when she began the study. If she observes 20 fruit flies on the first day of the study, write and evaluate an expression to find the population of fruit flies Lavania observed after 6 days
Mathematics
1 answer:
MatroZZZ [7]3 years ago
5 0

Answer:

Lavania observed 39 fruit flies after 6 days of observation

Step-by-step explanation:

Let x be the number of fruit flies on the first day of Lavania's study.

After 6 days she had nine more than five times as many fruit flies as when she began the study.

Five times as many fruit flies as when she began the study = 5x

Nine more than five times as many fruit flies as when she began the study=5x+9

The expression to find the population of fruit flies Lavania observed after 6 days is 5x+9

If she observes 20 fruit flies on the first day of the study, then x=6, then

5x+9=5\cdot 6+9=30+9=39

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Answer:

Here we will use the relationships:

a^n*a^m = a^{n + m}

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And a number:

a^n

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if a is positive and 0 < a < 1, then we need to have n positive such that:

0 < a^n < 1

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This is between zero and 1,

B) \frac{3^5}{3^{-6}} = 3^{5 - (-6)} = 3^{11}

This is greater than 1, because the exponent is positive.

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3 years ago
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From the given table, the annual premium rate as a percentage of value insured a person at age 35 has to pay is 0.14%.

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The data in the table are presented as follows;

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