Answer:
-1
Step-by-step explanation:
We know that i^4 is equal to one so what you do is divide by 4 and the remainder is your simplified version
In this case the remainder is two which means taht i^82 = i^2 = -1
Answer:
Ben' share = 2(600/5) = $240
Step-by-step explanation:
Let the sum of money be x
Given that the ratio between Ali and Ben is 3:2
As adding both parts of ratio gives 5 parts so,
For finding one part = x/5
So according to given condition:
Ali's share(one part) + Ben's share(one part) = 120
3(x/5) - 2(x/5) = 120
By simplifying:
x/5 = 120
Multiplying both sides by 5
x = 600
So the total amount is 600
Ali's share would be = 3(600/5) = $360
Ben' share = 2(600/5) = $240
i hope it will help You!
From the second:
2x-y=4
x=(4+y)/2 and applying this to first:
4+y+3y=12
4y+4=12
4y=8
y=2 and since x=(4+y)/2, x=3 so
x+y=2+3=5
ANSWER
Find out the how long will the Yellow balloon be higher than the orange balloon.
To proof
Now the diagram is given below
As given
A yellow hot-air balloon is 100 feet off the ground and rising at rate of 8 feet per second.
i.e height of the yellow baloon off the ground = 100 feet
rising at rate = 8 feet per second.
.An orange hot-air balloon is 160 feet off the ground and rising at a rate of 5 feet per second.
i.e height of the orange baloon off the ground = 160 feet
rising at rate = 5feet per second.
Formula

Relative velocity = rising rate of yellow balloon - rising rate of orange balloon
= 8 -5
= 3 feet per second
Relative distance = height of the yellow baloon off the ground - height of the orange baloon off the ground
= 160 -100
= 60 feet
put in the formula

= 20 second
after 20 second Yellow balloon will be higher than the orange balloon.
Hence proved