The equation of the perpendicular line to the given line is: y = -5/4x - 30.
<h3>What is the Equation of Perpendicular Lines?</h3>
The slope values of two perpendicular lines are negative reciprocal of each other.
Given that the line is perpendicular to y = 4/5x+23, the slope of y = 4/5x+23 is 4/5. Negative reciprocal of 4/5 is -5/4.
Therefore, the line that is perpendicular to it would have a slope (m) of -5/4.
Plug in m = -5/4 and (x, y) = (-40, 20) into y = mx + b to find b:
20 = -5/4(-40) + b
20 = 50 + b
20 - 50 = b
b = -30
Substitute m = -5/4 and b = -30 into y = mx + b:
y = -5/4x - 30
The equation of the perpendicular line is: y = -5/4x - 30.
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It is a branch of mathematics that deals with the collection, organization presentation, analysis, and interpretation of data.
1. C. Discrete
2. A. interval
3. B. Quantitative data
4. B. Ratio
5. C. Quantitative
1. A random variable is called discrete if it has either a finite or a countable number of possible values.
A random variable is called continuous if its possible values contain a whole interval of numbers.
2. The third level of measurement is the interval level of measurement. The interval level of measurement not only classifies and orders the measurements but also specifies that the distances between each interval on the scale are equivalent along the scale from low interval to high interval.
3. Quantitative data consist of numerical measurements or counts.
4. Something measured on a ratio scale has the same properties that an interval scale has except, with a ratio scaling, there is an absolute zero point. Temperature measured in Kelvin is an example.
There is no value possible below 0 degrees Kelvin, it is absolute zero.
5. Qualitative data can be separated into different categories that are distinguished by some non-numeric characteristics.
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Answer:
40,680
Step-by-step explanation:
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remember your units
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I would say complementary because the angle degrees are the same
Answer:

Step-by-step explanation:
<u>Properties of Logarithms</u>
We'll recall below the basic properties of logarithms:

Logarithm of the base:

Product rule:

Division rule:

Power rule:

Change of base:

Simplifying logarithms often requires the application of one or more of the above properties.
Simplify

Factoring
.

Applying the power rule:

Since


Applying the power rule:

Applying the logarithm of the base:
