Answer: 153
Step-by-step explanation:
When we have a group of N elements, the total number of combinations of K elements ( K ≤ N) is:

Where N! = N*(N - 1)*(N - 2)*...*2*1
In this case, we have a group of 18 people (then N = 18) and we want to see how many different combinations of 2 we can make (K = 2).
Using the above equation we get:

There are 153 different ways in which the manager can do this.
Answer:
The correct answer is "1287.02 ft"
Step-by-step explanation:
Given that:
T = 1200 ft
PI = 145+00
= 29.86°
or,
= 0.5211 rad
As we know,
The radius of curve is:
⇒ 



The length of curve will be:
⇒ 


hence,
Station PT will be:
= 
= 
= 
<h3>
Answer: x < 9</h3>
Work Shown:
4x - 6 < 30
4x - 6 + 6 < 30 + 6
4x < 36
4x/4 < 36/4
x < 9
Explanation:
The idea is to undo everything happening to x. We follow PEMDAS in reverse. We undo subtraction first by adding 6 to both sides (step 2), then we undo multiplication by dividing both sides by 4 (step 4).
At 4 seconds because 4 is the maximum point in the parabola
Answer:
lg22/lg6
Step-by-step explanation:
6^u = 22
lg(6^u) = lg22
ulg6 = lg22
u = lg22/lg6