Answer:
35.6047 inches
Step-by-step explanation:
The wiper blade moves in a circular way, where the radius is 30 inches.
To find how far the bug travelled, we just need to use a rule of three, where the length of the circunference relates to a angle of 360 degrees:
360 degrees -> 2 * pi * radius
68 degrees -> distance
distance * 360 = 2 * pi * radius * 68
distance = 2 * pi * 30 * 68 / 360 = 35.6047 inches
The first step in graphing a linear inequality is to graph the linear equality. The equation -x + 4y = -8 is equivalent to 4y = x - 8, which is equivalent to . This is the equation for the line in slope-intercept form, so the line will have a slope of 1/4 and a y-intercept of -2 (see the first image). Notice that the line is solid, rather than dotted. This represents that points on the line are included in the solution, because the inequality sign is ≥, which is not a strict equality (< or >).
Next, we need to figure out which side to shade. To do so, simply pick any point (I like to use the point (0,0) because it makes the calculations easy) and see whether it satisfies the inequality. If it does, shade the side with that point, and if not, shade the opposite side of the graph.
Here we see that the point (0,0) does satisfy the inequality, since -(0) + 4(0) is 0, and 0 ≥ -8, so the top half of the graph should be shaded (see the second image).
Answer:
D. h(x) = 4(x - 5)² - 18
Step-by-step explanation:
The answer is 0.85!!!!!!!
Answer:
y = C1x^(-1/2) cosx + C2x^(-1/2) sinx
Step-by-step explanation:
Given that
y1 = x^(-1/2) cosx
y2 = x^(-1/2) sinx
are linearly independent solutions of the nonhomogeneous equation
x²y'' + xy' + x² − 1 4y = x^(3/2)
Then the general equation of the differential equation can be written as
y = C1y1 + C2y2
y = C1x^(-1/2) cosx + C2x^(-1/2) sinx