Answer:
4
Step-by-step explanation:
34 - 30 = 4
AWESOME QUESTION!!!
Answer:
See below
Step-by-step explanation:
First, I would choose three different points with some distance between. Let's do x = -5, x = 0, and x = 5. Next, I would plug those numbers into the equation, like so:
Next, I would plot the points [(-5, 45), (0, 25), (5, 5)] on an x-y graph. Finally, I would take a ruler, line it up with the three points, and draw a line through those three points, extending from one side of the graph to the other to show the equation is continuous.
If nine plus 10 is 21 and the square root of the sun is blank
Answer:
The equation is not linear. So the slope does not exist. Not linear.
Maybe you wrote the equation wrong? If so, let me know and I'll tell you what the answer is.
Answer:
7.5 ft³/min
Step-by-step explanation:
Let x be the depth below the surface of the water. The height, h of the water is thus h = 10 - x.
Now, the volume of water V = Ah where A = area of isosceles base of trough = 1/2bh' where b = base of triangle = 4 ft and h' = height of triangle = 1 ft. So, A = 1/2 × 4 ft × 1 ft = 2 ft²
So, V = Ah = 2h = 2(10 - x)
The rate of change of volume is thus
dV/dt = d[2(10 - x)]/dt = -2dx/dt
Since dV/dt = 15 ft³/min,
dx/dt = -(dV/dt)/2 = -15 ft³/min ÷ 2 = -7.5 ft³/min
Since the height of the water is h = 10 - x, the rate at which the water level is rising is dh/dt = d[10 - x]/dt
= -dx/dt
= -(-7.5 ft³/min)
= 7.5 ft³/min
And the height at this point when x = 8 inches = 8 in × 1 ft/12 in = 0.67 ft is h = (10 - 0.67) ft = 9.33 ft
