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NARA [144]
3 years ago
13

Professional plumbers suggest that a sewer pipe should be sloped 0.25 inch for every foot. find the recommended slope for a sewe

r pipe
Mathematics
1 answer:
erik [133]3 years ago
5 0

We have been given that professional plumbers suggest that a sewer pipe should be sloped 0.25 inch for every foot.

Therefore, we can find the slope as:

\text{Slope}=\frac{0.25\text{ inch}}{\text{1 foot}}=\frac{0.25\text{ inch}}{\text{12 inch}}

\text{Slope}=\frac{0.25}{12}=\frac{25}{1200}=\frac{1}{48}

Therefore, the recommended slope for a sewer pipe is \frac{1}{48}


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In 2009, a town's population was about 9,000 residents. In 2014, the population was about 12,500 residents. Which linear model r
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Answer:

The linear function that discribes the size of the population in function of the t in years is p = 700t - 1,397,300

Step-by-step explanation:

A linear function is defined by a line, so in order to determine the linear function we can use the two points that were given to us to create a line equation and use that as our linear function. The points given to us were (2009; 9000) and (2014; 12500), in this case the year is our value of "x" and the size of the population is our value of "y". The first step is to find the slope of the line which is given by:

m = (y2 - y1)/(x2 - x1)

m = (12500 -9000)/(2014 - 2009) = 3500/5 = 700

Then we can use the slope and the first point to build the equation:

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Is knowing the coordinates of the vertex of a parabola enough to determine the domain and range?
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The <em>correct answers</em> are:


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The range, however, would depend on whether the quadratic was open upward or downward. If the vertex is a maximum, then the quadratic opens down and the range is all values of y less than or equal to the y-coordinate of the vertex.


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There is no way to identify from the coordinates of the vertex whether it is a maximum or a minimum, so we cannot tell what the range is.


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Step-by-step explanation:

95,234-35,295= 59,939 and then 59,939-19,240= 40,999

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