Answer: 0.1714 miles / hour
Step-by-step explanation:
Given the following :
Distance to the store = 3 miles
Time taken to get to store = 12 hours
Time taken to return = 23 hours
The average rate of speed for the trip =?
Average Speed = total distance traveled / total time taken
Total distance traveled = 2 × 3 miles = 6 miles
Total time taken = 12 + 23 = 35 hours
Average speed = 6 miles / 35 hours
Average speed = 0.1714 miles / hour
Answer:
4096
Step-by-step explanation:
Lets start by applying a basic exponent rule. (a*b)^n is equal to a^n * b^n
Therefore,
((9(3/16)^-2)^3/2 = 9^3/2 * ((3/16)^-2)^3/2
Now lets focus on ((3/16)^-2)^3/2
(3/16)^-2 = 1/(3/16)^2 = (16^2/3^2)^3/2.
We can quickly eliminate the fractional exponent by plugging it into the numerator and the denominator and we get, 16^3/3^3 = 4096/27
So now we have, 9^3/2 * 4096/27
We can easily compute 9^3/2, which is (sqrt(9))^3, which is equal to 27.
Therefore, you have, 27*4096/27. The 27 cancels to give us a final answer of 4096
Answer:
![c = 9](https://tex.z-dn.net/?f=c%20%3D%209)
Step-by-step explanation:
![{(x - a)}^{2} = {x}^{2} - 2ax + {a}^{2} \\ 2ax = 6 \\ a = 3 \\ c = {a }^{2} \\ c = 9](https://tex.z-dn.net/?f=%20%7B%28x%20-%20a%29%7D%5E%7B2%7D%20%20%20%3D%20%20%7Bx%7D%5E%7B2%7D%20%20-%202ax%20%2B%20%20%7Ba%7D%5E%7B2%7D%20%20%5C%5C%202ax%20%3D%206%20%20%5C%5C%20a%20%3D%203%20%5C%5C%20c%20%3D%20%20%7Ba%20%7D%5E%7B2%7D%20%20%5C%5C%20c%20%3D%209)