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:
Therefore, the recommended slope for a sewer pipe is 
The graphs that are density curves for a continuous random variable are: Graph A, C, D and E.
<h3>How to determine the density curves?</h3>
In Geometry, the area of the density curves for a continuous random variable must always be equal to one (1). Thus, we would test this rule in each of the curves:
Area A = (1 × 5 + 1 × 3 + 1 × 2) × 0.1
Area A = 10 × 0.1
Area A = 1 sq. units (True).
For curve B, we have:
Area B = (3 × 3) × 0.1
Area B = 9 × 0.1
Area B = 0.9 sq. units (False).
For curve C, we have:
Area C = (3 × 4 - 2 × 1) × 0.1
Area C = 10 × 0.1
Area C = 1 sq. units (False).
For curve D, we have:
Area D = (1 × 4 + 1 × 3 + 1 × 2 + 1 × 1) × 0.1
Area D = 10 × 0.1
Area D = 1 sq. units (True).
For curve E, we have:
Area E = (1/2 × 4 × 5) × 0.1
Area E = 10 × 0.1
Area E = 1 sq. units (True).
Read more on density curves here: brainly.com/question/26559908
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Answer:
sin(-a)= -15 /17
Step-by-step explanation:
Alright, lets remember that sin(x) is odd function, which means that
wherever you watch an expression like this: sin(-a), you can use the odd functions property, and turn it like the following
sin(-a)= - sin(a)
Now, other thing to remember: 
So, we can obtain any value for sin(x) function starting from the opposite function, cos(x), using the following:
So, if cos(a)= - 8 / 17, using the above equation we obtain the value for sin(a)
Using the odd function property, we get the following result
sin(-a)= - sin(a) = -15/17
Answer:
X = 2
Step-by-step explanation:
14= 28 + 7x
28 - 14 = 7x
14 = 7x
14 / 7
2 = x
Answer:
-4 =x
Step-by-step explanation:
ƒ(x) = 9x + 54
Let f(x) = 18
18 = 9x+54
Subtract 54 from each side
18-54 = 9x + 54-54
-36 = 9x
Divide each side by 9
-36/9 = 9x/9
-4 =x
