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kipiarov [429]
3 years ago
9

Write the expression as a sum and/or a difference of logarithms, with all variables to the first degree.

Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
7 0

Answer:

  • ln 2 + 2 ln x + 8 ln y

Step-by-step explanation:

<em>Use of properties</em>

  • <em>log ab = log a + log b</em>
  • <em>log a^b = b log a</em>

<u>Given expression</u>

  • In 2x^2y^8

<u>Simplifying</u>

  • In 2x^2y^8 =
  • ln 2 + ln x^2 + ln y^8 =
  • ln 2 + 2 ln x + 8 ln y
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Which is a solution to the system of inequalities? y≤-1/2x+3 y≥x+1
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Answer:

y≤-1/2(x=4)+3

Step-by-step explanation:

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3 years ago
Find the variance of the following data. Round your answer to one decimal place. x 1 2 3 4 5 P(X=x) 0.3 0.2 0.2 0.1 0.2
Reptile [31]

The variance of a distribution is the square of the standard deviation

The variance of the data is 2.2

<h3>How to calculate the variance</h3>

Start by calculating the expected value using:

E(x) = \sum x* P(x)

So, we have:

E(x) = 1 * 0.3 + 2* 0.2 +3 * 0.2 + 4 * 0.1 + 5 * 0.2

This gives

E(x) = 2.7

Next, calculate E(x^2) using:

E(x^2) = \sum x^2* P(x)

So, we have:

E(x^2) = 1^2 * 0.3 + 2^2* 0.2 +3^2 * 0.2 + 4^2 * 0.1 + 5^2 * 0.2

E(x^2) = 9.5

The variance is then calculated as:

Var(x) = E(x^2) - (E(x))^2

So, we have:

Var(x) = 9.5 - 2.7^2

Var(x) = 2.21

Approximate

Var(x) = 2.2

Hence, the variance of the data is 2.2

Read more about variance at:

brainly.com/question/15858152

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2 years ago
You are a member of the fund-raiing committee for your chool. The committee i ponoring a fair. Each member of the committee ha a
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The expression that represents the total amount that can be raised from selling 50 tickets is -2t + 250 and the total amount that can be raised is $194.

What is total revenue?

Total revenue is the amount of money earned by a company from the sale of its goods and services. In other words, businesses use this metric to determine how well their core revenue-generating operations are performing. Total revenue is directly related to marginal revenue.

Number of tickets that will be sold = 50

Number of student tickets that will be sold = t

Number of adult tickets that will be sold = 50 - t

The total amount of money that can be raised from selling 50 tickets is the sum of the total amount raised from selling student tickets and adult tickets.

Total revenue = total amount raised from selling students tickets + total amount raised from selling adults tickets

Total revenue = [3 x t] + [(50 -t) x $5]

Total revenue = $3t + $250 - 5t

Total revenue = -2t + 250

Total revenue = -2(28) + 250

Total revenue = -56 + 250 = $194

Hence, the expression that represents the total amount that can be raised from selling 50 tickets is -2t + 250, and the total amount that can be raised is $194.

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Please help with the setup of the problem, thank you.
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Step-by-step explanation:

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