Answer:
Step-by-step explanation:
The graph in the attached figure
<em>Find the equation of the dashed line</em>
we have
points (0,2) and (5,3)
<em>Find the slope</em>
The formula to calculate the slope between two points is equal to
substitute the given values
<em>Find the equation of the dashed line in slope intercept form</em>
we have
substitute
Remember that
The solution of the inequality is the shaded area below the dashed line
therefore
The equation of the inequality is
Answer:
Users who park at the selected trailheads and cross-country ski lots. ; Convenience sampling
Step-by-step explanation:
A) The population of interest:
The population of interest should include the concerned individuals which would be those who park at the selected trailheads and cross-country ski lots.
B) By sampling the first 50 users encountered at each fee areas shows that the researcher prioritizes ease or convenience while choosing samples from a population. The first 50 fee users represents the most easily accessible users. Hence, the reason the adopted sampling method is called convenience sampling.
Answer:
44 inches and 24 inches
Step-by-step explanation:
Let 
denotes length and breadth of a rectangle.
A square of 3 inches is cut from each corner, and an open box is made by turning up the ends and sides.
New length 
inches
New breadth 
inches
Height of box 
inches
Volume of box = length × breadth × height
Put 
in
At 
inches
At 
inches
Answer:
x = 12
Step-by-step explanation:
We know that the total angle measure of a triangle is 180 degrees, so the sum of all the angles should be 180 degrees.
Therefore, we can add all the angles, set them equal to 180 and solve for x
2x+5 + 6x-5 + 7x = 180
We can combine all the x terms and all the numerical terms on the left side of the equation to get:
(2x+6x+7x) + (5-5) = 180
15x = 180
Then we can divide both sides by 15 to isiolate x
15x = 180
x = 180/15 = 12
The word you're looking for is "differentiate", not "derive".
