The slope of the line is -23
<h3>How to determine the
slope of the
line?</h3>
The line’s equation is given in point-slope form:
y − 6 = (−23)(x + 6)
The line’s equation in point-slope is represented as:
y − y1 = m(x - x1)
Where
m represents the slope
By comparing y − y1 = m(x - x1) and y − 6 = (−23)(x + 6), we have
m = -23
Hence. the slope of the line is -23
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Ok.
The volume of a cone is the volume of a cylinder over 3.
The volume of a cone is:

This problem gives us the diameter, which is twice of the radius. So, we'll just half it.
Radius (me) = 4 cm.
Substitute our given values into the equation.

Multiply

Multiply
This would make
the closest option.
Answer:
I believe that the answer is D. F(x) is g(x) compressed vertically by a factor of 8 and reflected about the x axis.
Step-by-step explanation:
Because it is a compression since the number is smaller than the parent function and it is a negative, which means that it is a reflection.
Complete Question
Trade associations, such as the United Dairy Farmers Association, frequently conduct surveys to identify characteristics of their membership. If this organization conducted a survey to estimate the annual per-capital consumption of milk and wanted to be 95% confident that the estimate was no more than 0.5 gallon away from the actual average, what sample size is needed? Past data have indicated that the standard deviation of consumption of approximately 10 gallons.
Answer:
The sample size is 
Step-by-step explanation:
From the question we are told that
The margin of error is
The confidence level is
%
Given that the confidence level is 95% the level of significance is mathematically represented as

%

Next we obtain the critical value of
from the normal distribution table , the values is 
The reason we are obtaining critical values of

instead of

is because

represents the area under the normal curve where the confidence level interval (

) did not cover which include both the left and right tail while

is just the area of one tail which what we required to calculate the sample size
Now the sample size is mathematically represented as
![n = \frac{[Z_{\frac{\alpha }{2} }] ^2 * \sigma ^2}{MOE^2}](https://tex.z-dn.net/?f=n%20%20%3D%20%20%5Cfrac%7B%5BZ_%7B%5Cfrac%7B%5Calpha%20%7D%7B2%7D%20%7D%5D%20%5E2%20%2A%20%20%5Csigma%20%5E2%7D%7BMOE%5E2%7D)
substituting values


Move the 8 over
-x=3x-8
Move the 3x over
-x-3x=8
-4x=8
Divide by -4
x=-2