Answer:
Option (A)
Step-by-step explanation:
It has been given in this question that sign telling path has a 2% grade.
2% grade means a rise of 2 meters for a horizontal change of 100 m (As given in the figure attached).
All the trigonometric ratios for the angle θ between the path and the horizontal are,
Sinθ = 
Cosθ = 
tanθ = 
Since measures of the opposite side and adjacent sides are given
Therefore, tangent ratio will be applied to get the measure of the angle,
tanθ = 
θ = 
Option (A) will be the answer.
Answer:
Step-by-step explanation:
In ordered pairs (a,b) a is the x value and b is a y value.
if we have 3x+y=6
if x=0, y=6 --> (0,6)
if y=0, x=2 -->(2,0)
if x=3, y=-3--> (3, -3)
if x=6, y= -12 --->(6, -12)
if x=6, y= -9 ---> (5, -9)
Assuming the order required is as n-> inf.
As n->inf, o(log(n+1)) -> o(log(n)) since the 1 is insignificant compared with n.
We can similarly drop the "1" as n-> inf, the expression becomes log(n^2+1) ->
log(n^2)=2log(n) which is still o(log(n)).
So yes, both are o(log(n)).
Note: you may have more offers of answers if you post similar questions in the computer and technology section.
(6 + 5x)(7x + 3) = 42x + 18 + 35x^2 + 15x = 35x^2 + 57x + 18
Let us formulate the independent equation that represents the problem. We let x be the cost for adult tickets and y be the cost for children tickets. All of the sales should equal to $20. Since each adult costs $4 and each child costs $2, the equation should be
4x + 2y = 20
There are two unknown but only one independent equation. We cannot solve an exact solution for this. One way to solve this is to state all the possibilities. Let's start by assigning values of x. The least value of x possible is 0. This is when no adults but only children bought the tickets.
When x=0,
4(0) + 2y = 20
y = 10
When x=1,
4(1) + 2y = 20
y = 8
When x=2,
4(2) + 2y = 20
y = 6
When x=3,
4(3) + 2y= 20
y = 4
When x = 4,
4(4) + 2y = 20
y = 2
When x = 5,
4(5) + 2y = 20
y = 0
When x = 6,
4(6) + 2y = 20
y = -2
A negative value for y is impossible. Therefore, the list of possible combination ends at x =5. To summarize, the combinations of adults and children tickets sold is tabulated below:
Number of adult tickets Number of children tickets
0 10
1 8
2 6
3 4
4 2
5 0
