◆ COMPLEX NUMBERS ◆
125 ( cos 288 + i sin 288 ) can be written as -
125.e^i( 288)
125.e^i( 288 +360 )
125.e^i( 288+ 720)
[ As , multiples of 360 can be added to an angle without changing any trigonometric functions or sign ]
To find the cube root , take the cube root of above 3 expressions ,
We get -
5 e^( i 96 )
5 e^( i 216 )
5 e^( i 336 )
Now using Euler's formula , We rewrite above as -
5 ( cos 96 + i sin 96 )
5(c os 216 + i sin 216 )
5 ( cos 336 + i sin 336 ) Ans.
Answer:
5.2
Step-by-step explanation:
To find the height of the plant after 7 weeks, we need to find out the equation of the line of best fit and plug in 7 for x. We already have our y - intercept, which is 1, and we have a point on the x axis for which the y coordinate is an integer, (5, 4). Since we already have the y - intercept of +1 we have y = mx + 1. Since this applies to (5,4) we can plug this in to our equation. This is then 4 = 5m + 1. Subtracting 1 from both sides, we get 3 = 5m. Dividing by 5, we receive m = 3/5. Since now we have our slope, we can plug in 7 and find out our answer. Plugging in 7 we receive, y = 3/5 * 7 + 1, which is equal to y = 4.2 + 1. This means that y = 5.2, so 5.2 is our answer.
Answer:
a=2
Step-by-step explanation:
subtract 10 from both sides
2a^3=26-10
simplify
2a^3=16
Divivde both side by 2
a^2=16/2
simplify
a^3=8
Answer: The level of aspirin (mg) will be in your bloodstream in 4 hours = 35.70 mg.
Step-by-step explanation:
If the amount is decreasing by r%, then the final amount is given by :-
, where P = initial value , t= time
Given: P= 200 milligram, r= 35% = 0.35, t= 4 hours
The level of aspirin (mg) will be in your bloodstream in 4 hours = 
Hence, the level of aspirin (mg) will be in your bloodstream in 4 hours = 35.70 mg.
