Answer:
Graph 1: Consistent Dependent
Graph 2: Consistent Independent
Graph 3: Consistent Dependent
Graph 4: Inconsistent
Step-by-step explanation:
Consistent means they have at least one solution. So lines that intersect once or lines that intersect infinitely many times are both consistent systems.
If they are the system that has one solution they are considered independent.
If they are the system that has infinitely many solutions then are considered dependent.
Inconsistent means they won't intersect at all.
First graph shows the same line graphed onto itself. That means they have infinitely many solutions and is therefore a consistent dependent system.
Second graph shows the lines intersecting once. That means they have one solution and therefore is a consistent independent system.
Third graph shows the same description of graph one and is therefore a consistent dependent system.
The last graph shows parallel lines. Parallel lines do not intersect and therefore do not have a solution. So this system is inconsistent.
Answer:
4160 cubic inches
Step-by-step explanation:
The dog carrier is in the shape of a rectangular prism (cuboid).
The volume of a rectangular prism is given as:
V = L * W * H
where L = length, W = width, H = height
The carrier is 20 inches long, 13 inches wide, and 16 inches high.
Therefore, its volume is:
The volume of the dog carrier is 4160 cubic inches.
Answer:
f(x) = sin(x) + 4 Let me know if you don't see why.
Step-by-step explanation:
As much as I hate it I think it might be best to check each one.
sin(x) has a point at (0,0) so that's not right.
sin(x)+4 has (0,4) as a point and a minimum at (3*pi/2+2*pi*n,3) where n is some integer. if we have n = 0 then it becomes (3*pi/2, 3) So that looks like our answer.
cos(x) + 3 has a point at (0,4) then minimums at (pi+2*pi*n, 2) the y coordinate is wrong so this won't work
-3sin(x) has a point at (0,0) so that's wrong
4cos(x) has a point at (0,4) then minimums at (pi+2*pi*n, -4) which again has the wrong y value so this is wrong.
Let me know if you don't understand how I got the results I did, I would be happy to explain.
I did the multiplications and I think it is 1,568
Answer:
66°
Step-by-step explanation:
simply subtract 114 from 180
you'll come out with the answer of 66°.
