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2 years ago

For what power of q is its value 1?

Mathematics

1 answer:

DedPeter [7]2 years ago

4 0

Answer:

0, for q ≠ 0 and q ≠ 1

Step-by-step explanation:

Assuming q ≠ 0, you want to find the value of x such that ...

q^x = 1

This is solved using logarithms.

x·log(q) = log(1) = 0

The zero product rule tells us this will have two solutions:

x = 0

log(q) = 0 ⇒ q = 1

If q is not 0 or 1, then its value is 1 when raised to the 0 power. If q is 1, then its value will be 1 when raised to any power.

_____

Additional comment

The applicable rule of logarithms is ...

log(a^b) = b·log(a)

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bezimeni [28]

Let 's' represent the amount of sales.

Plan 1:

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Plan 2:

$12\text{ \% of s}$ $\begin{gathered} \frac{12}{100}\times s \\ 0.12\times s=0.12s \end{gathered}$

Equating the two plans together and solving for the amount of sales,

$\begin{gathered} \text{Plan 2=Plan 1} \\ 0.12s=\text{ \$700+0.04s} \\ \end{gathered}$

Collecting like terms,

$\begin{gathered} 0.12s-0.04s=\text{ \$700} \\ 0.08s=\text{\$700} \end{gathered}$

Divide both sides by 0.08,

$\begin{gathered} \frac{0.08s}{0.08}=\frac{\text{ \$700}}{0.08} \\ s=\text{ \$8750} \end{gathered}$

Hence, the amount of sales is $8,750.

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1 year ago

What do outliers, mean, median, mode, and range tell you PLEASE SHOW EXAMPLES!!!!!!

Zanzabum

Hello there!

Outlier is a value in a data set that varies significantly from the rest of the data.

Example: Way too low: 1, 45, 58, 60, 63, 75

Outlier = 1

Way too high: 4, 3, 2, 21, 7

The number should be the order from least to greatest are: 2, 3, 4, 7, 21.

Outlier = 21

It impact the mean and the median in different ways.

Data with no outlier: 4, 5, 7, 11, 12, 15

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Mean = 9

Data with an outlier: 4, 5, 7, 11, 12, 15, 58

112÷7=16

Mean = 16

Median is the middle value in an ordered list of numbers.

Example:

Numbers already in order:

1, 5, 8, 10, 13

Numbers not already in order:

13, 1, 5, 10, 8

1, 5, 8, 10, 13, 15

8+10=18 or 18÷2=9

Median =9

Range is a difference between the maximum (highest) and minimum (lowest) values. It has one type of measure of spread.

Example:

Data in order: 23, 27, 39, 53, 62, 84

84-23=61

Data not in order: 272, 52, 67, 201, 43, 256

272-43=229

Hope this helps! Thank you for posting your question at here on Brainly.

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3 years ago

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Semenov [28]

Answer:

see below

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The solution is solving an algebra equation with the ans rounded to the hundredth.

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3 years ago

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Ilia_Sergeevich [38]

Answer:

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3 years ago

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Gemiola [76]

You got the equation correct

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3 years ago

For what power of q is its value 1?​

For what power of q is its value 1?