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3 years ago

Solve the following equation for x using the natural logarithm

1 answer:

5 0

Use log rule
log(ab) = log a + log b

Take log of both sides:
$ln 4 + ln 4^x = ln 10 + ln e^{-x}$

Use log rule
log(a^n) = n*log(a)

$ln 4 + xln 4 = ln 10 -xln e \\ \\ ln 4 + xln 4 = ln 10 -x \\ \\ x ln 4+x = ln 10 - ln 4 \\ \\ x(ln 4 +1) = ln 10 -ln 4 \\ \\ x = \frac{ln 10 - ln 4}{ln 4 +1}$

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Labor productivity is normally measured by Part 2 A. the educational level of workers. B. the change in the amount of leisure. C

Anettt [7]

Labor productivity is normally measured by (c) dividing total real domestic output by the number of workers or by the number of labor hours.

<h3>What is Labour productivity?</h3>

The total volume of production (measured in terms of Gross Domestic Product, GDP) produced per unit of labor (measured in terms of the number of employed workers or hours worked) during the course of a specific time reference period is what is referred to as labor productivity.
Divide the total output by the total labor hours to find the labor productivity of a nation.

What is labour productivity in India?

A measurement of labor output is labor productivity.
Hourly productivity metrics are used. The actual Gross Domestic Product (GDP) produced by labor in an hour is what is referred to as labor productivity in macroeconomics.
An important component of a business's overall growth is labor productivity.

Learn more about labour productivity

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5 0

2 years ago

Conti. 7-10 thanks a lot! unhelpful answers will be deleted.

Marysya12 [62]

Answers:

10. b. $\displaystyle 13$

9. b. $\displaystyle 20$

8. a. $\displaystyle 33$

7. a. $\displaystyle 25°$

Step-by-step explanations:

10. Both segments are considered congruent, so turn both expressions into an equation:

$\displaystyle 3x - 5 = x + 7 \hookrightarrow \frac{-12}{-2} = \frac{-2x}{-2} \\ \\ 6 = x$

Plug this back into the equation to get $\displaystyle 13$ on both sides.

9. All edges in a square obtain congruent right angles and edges, so set $\displaystyle 45$ equivalent to the given expression:

$\displaystyle 45 = 2x + 5 \hookrightarrow \frac{40}{2} = \frac{2x}{2} \\ \\ \boxed{20 = x}$

8. Both angles are considered supplementary, so turn both expressions into an equation and set it to one hundred eighty degrees:

$\displaystyle 180 = (4x - 15)° + (x + 30)° \hookrightarrow 180° = (15 + 5x)° \hookrightarrow \frac{165}{5} = \frac{5x}{5} \\ \\ \boxed{33 = x}$

7. In this rectangle, segment EO is a segment bisectour, making these angles Complementary Angles. Therefore, set an equation up to find its complement:

$\displaystyle 90° = 65° + m\angle{VOE} \\ \\ \boxed{25° = m\angle{VOE}}$

I am joyous to assist you at any time.

3 0

2 years ago

Francine and Cheryl received equal scores on a test made up of multiple choice questions and an essay Francine got 34 multiple c

dem82 [27]

Answer: 2 points

Step-by-step explanation:

5 0

3 years ago

What is 15/27 in a decimal?

amid [387]

Answer:

0.55555

Step-by-step explanation:

the 5 keeps repeating

5 0

3 years ago

Read 2 more answers

brainliest goes to whoever answers the question correctly also if you want more points answer my other questions

Sergeeva-Olga [200]

Answer:

A and B are functions

Step-by-step explanation:

for A, none of the x's repeat which makes it a FUNCTION

for B, when it starts with x^2, it will always be a FUNCTION (its a quadratic)

for C, 10 repeats for the x so it is NOT A FUNCTION

4 0

2 years ago