Answer:
The value of given expression is 1.
Step-by-step explanation:
The given expression is

If a is a real number, then
.
![[\because a^0=1]](https://tex.z-dn.net/?f=%5B%5Cbecause%20a%5E0%3D1%5D)
Using exponent property we get,
![[\because a^{-n}=\frac{1}{a^n}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20a%5E%7B-n%7D%3D%5Cfrac%7B1%7D%7Ba%5En%7D%5D)


Therefore the value of given expression is 1.
Answer:
Allen sold 50 cell phones while Kay sold 67 cell phones.
Step-by-step explanation:
Let the number of cell phones sold by Allen be x. This will imply that the number of cell phones sold by Kay is x + 17.
Furthermore, we are informed that together they sold a total of 117 cell phones. Therefore, we use the following equation to determine the number of cell phones sold by each;
x + x + 17 = 117
2x + 17 = 117
2x = 100
x = 50
Therefore, Allen sold 50 cell phones while Kay sold 67 cell phones.
Answer: the rate of speed for train A is 66 miles per hour.
Step-by-step explanation:
Let x represent the speed of train B.
2 trains leave the station at the same time. Train A is traveling 16 miles per hour slower than train B. This means that the speed of train A would be x - 16 miles per hour.
The two trains are 720 miles apart after 4 hours. It means that both trains traveled a total distance of 720 miles in 4 hours.
Distance = speed × time
Distance travelled by train A after 4 hours is
4(x - 16) = 4x - 64
Distance travelled by train B after 4 hours is
4 × x = 4x
Since the total distance travelled by both trains is 720 miles, then
4x - 64 + 4x = 720
8x = 720 - 64 = 656
x = 656/8 = 82 miles per hour
The speed of train A would be
82 - 16 = 66 miles per hour.
Answer:
TanФ=-1.793
Step-by-step explanation:



