Answer:
- (a) no
- (b) yes
- (c) no
- (d) no
Step-by-step explanation:
"Of the order x^2" means the dominant behavior matches that of x^2 as x gets large. For polynomial functions, the dominant behavior is that of the highest-degree term.
For other functions, the dominant behavior will typically be governed in some other way. Here, the rate of growth of the x·log(x) function is determined by log(x), which has decreasing slope as x increases.
Only answer selection B has a highest-degree term of x^2, so only that one exhibits O(x^2) behavior.
The answer would be 224 pages!
Answer: 16%
Step-by-step explanation:
168.2 - 145 = 23.2
23.2/145 = 0.16
0.16 as a percent is 16%
Answer:D The number of tickets is increasing by 97% each year
Step-by-step explanation:
The rate of change is (0.97). You change that decimal into a percent To get your percentage rate / increase rate...I think
A property from geometry states that rectangles have congruent opposite sides. Thus, no matter which diagonal Reggie cuts, it still has the same lengths. Since it's a rectangle and we cut from corner to corner, we create a right triangle. See the picture below:
<u>___________12 inches_______</u>
7 |
i |
n |
Because it's a rectangle, it won't matter which corner we cut. But if we fold at the cut lines, we would make an in the rectangle's center.
The cut line and two sides make a right triangle. One leg is 12, one leg is 7, and we need to find the third side. The Pythagorean Theorem - sum of the squares of the legs equals the square of the hypotenuse - is applied.
Let S = the length of the side from corner to corner
S² = 12² + 7²
S² = 144 + 49
S² = 193
S = √193 or -√193
Because we are dealing with lengths, we only want positive numbers. -√193 is not used. Thus S = √193
S = √193 = 13.8924439894
S = 18.92 (rounded to two places)
Thus, Reggie will cut 18.92 inches of paper.
