<h2>
Value of x is 2 </h2>
Step-by-step explanation:
Surface area is given by 2x²+48x+88
We need to find x when surface area is 192.
A = 2x²+48x+88
2x²+48x+88 = 192
2x²+48x- 104 = 0
x²+ 24x - 52 = 0
( x - 2 ) ( x + 26 ) = 0
x = 2 or x = -26 not possible
Value of x is 2
Let's raise i to various powers starting with 0,1,2,3...
i^0 = 1
i^1 = i
i^2 = ( sqrt(-1) )^2 = -1
i^3 = i^2*i = -1*i = -i
i^4 = (i^2)^2 = (-1)^2 = 1
i^5 = i^4*i = 1*i = i
i^6 = i^5*i = i*i = i^2 = -1
We see that the pattern repeats itself after 4 iterations. The four items to memorize are
i^0 = 1
i^1 = i
i^2 = -1
i^3 = -i
It bounces back and forth between 1 and i, alternating in sign as well. This could be one way to memorize the pattern.
To figure out something like i^25, we simply divide the exponent 25 over 4 to get the remainder. In this case, the remainder of 25/4 is 1 since 24/4 = 6, and 25 is one higher than 24.
This means i^25 = i^1 = i
Likewise,
i^5689 = i^1 = i
because 5689/4 = 1422 remainder 1. The quotient doesn't play a role at all so you can ignore it entirely
Answer: C
Step-by-step explanation:
Answer:
D. 84 square feet
Step-by-step explanation:
Hope this helps and have a nice day
Answer:
3.33 miles per hour
Step-by-step explanation:
The total distance traveled by the hiker is 5 * 2 = 10 miles, and the total time travelled is 2 + 1 = 3 hours.
So, to find the average speed of the entire trip, we can use the formula:
distance = speed * time
With distance = 10 and time = 3, we have:
10 = speed * 3
speed = 10/3 = 3.33 miles per hour.
