Answer: The percent of change is 25%
Step-by-step explanation:
$525 - $393.75 = $131.25
131.25 (amount of change)/525 ( original amount) x 100
= 25%
Answer:
Inequality Form: x ≤ 8
Interval Notation: (-∞,8]
Step-by-step explanation:
x + 5 ≤ 13
Subtract 5 on both sides...
13 - 5 = 8
You're left with x ≤ 8
Inequality Form: x ≤ 8
Interval Notation: (-∞,8]
The area is 120/(1/4) or 120 x 4 or 480 square inches
the width is 6/(1/2) or 6 x 2 or 12 inches
to find the length, divide the area by the width
480/12= 40
40 inches
Hope this helps :)
Answer:
A. Skew lines cannot lie in the same plane.
Step-by-step explanation:
(*Which)
Skew Line Definition (from Wikipedia): <em>"In three-dimensional geometry, skew lines are two lines that do not intersect and are not parallel." </em>-Wikipedia
<em>"Two lines that both lie in the same plane must either cross each other or be parallel, so skew lines can exist only in three or more dimensions."</em> -Wikipedia
Skew lines cannot lie in the same plane so A is correct and C is incorrect.
B and D are incorrect because our friend Wikipedia just said it was incorrect.
The maxima of f(x) occur at its critical points, where f '(x) is zero or undefined. We're given f '(x) is continuous, so we only care about the first case. Looking at the plot, we see that f '(x) = 0 when x = -4, x = 0, and x = 5.
Notice that f '(x) ≥ 0 for all x in the interval [0, 5]. This means f(x) is strictly increasing, and so the absolute maximum of f(x) over [0, 5] occurs at x = 5.
By the fundamental theorem of calculus,
The definite integral corresponds to the area of a trapezoid with height 2 and "bases" of length 5 and 2, so
