Answer:
x = 10
Step-by-step explanation:
Using the rules of logarithms
• log x + log y ⇔ log(xy)
• log
⇔ n log x
• log x = log y ⇒ x = y
Given
ln20 + ln5 = 2 lnx , then
ln(20 × 5) = ln
ln 100 = ln
, hence
x² = 100 ( take the square root of both sides )
x = 10
The slope of the line can be interpreted that with each additional hour, nearly 18 customers are served; option B
<h3>What is the slope of a line?</h3>
The slope of a line is the ratio of climb to that of run
Slope = change in y/change in x
The given graph is a graph of the number of hours an employee spends working a checkout line (x), against the number of customers served (y).
The slope of the graph can be written as follows:
Slope = change in the number of customers served/change in the number of hours an employee spends working
Therefore, the slope of the line can be interpreted that with each additional hour, nearly 18 customers are served.
In conclusion, slope of a line is ratio of change in y to change in x.
Learn more about slope at: brainly.com/question/16949303
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Answer:
4 hours of rental
Step-by-step explanation:
y1 = 20 + 13.5x
y2 = 6 + 17x
20 + 13.5x = 6 + 17x
20 - 6 = 17x - 13.5x
14 = 3.5x
x = 4
Costs y1 and y2 are equal on renting for 4 hours
Answer:
Salamander Trail is longer than Great Oak Trail
Step-by-step explanation:
The given parameters are;
The scale of the map is 36 mi = 6 cm
The length of Great Oak Trail = 4.5 cm
The scale of a different map is 24 mi = 3 cm
The length of Salamander Trail = 3.5 cm
Therefore, we have;
The actual length of Great Oak Trail based on the first map is given as follows;
36 mi = 6 cm
6 cm = 36 mi
1 cm = 36 mi/6 = 6 mi
4.5 cm = 4.5 × 6 mi = 27 mi
The actual length of Salamander Trail based on the second map is given as follows;
24 mi = 3 cm
3 cm = 24 mi
1 cm = 24 mi/3 = 8 mi
3.5 cm = 3.5 × 8 mi = 28 mi
Therefore, Salamander Trail with an actual length of 28 mi is longer than Great Oak Trail which has an actual length of 27 mi.
Answer:
y = 12x + 10
Step-by-step explanation:
Edge, let me know if you got it right.