Step-by-step explanation:
4^m * 4^2 = 12
4^(m + 2) = 4^(log4 12)
m + 2 = log4 (12)
m = log4 (12) - 2.
Answer:
a. cosθ = ¹/₂[e^jθ + e^(-jθ)] b. sinθ = ¹/₂[e^jθ - e^(-jθ)]
Step-by-step explanation:
a.We know that
e^jθ = cosθ + jsinθ and
e^(-jθ) = cosθ - jsinθ
Adding both equations, we have
e^jθ = cosθ + jsinθ
+
e^(-jθ) = cosθ - jsinθ
e^jθ + e^(-jθ) = cosθ + cosθ + jsinθ - jsinθ
Simplifying, we have
e^jθ + e^(-jθ) = 2cosθ
dividing through by 2 we have
cosθ = ¹/₂[e^jθ + e^(-jθ)]
b. We know that
e^jθ = cosθ + jsinθ and
e^(-jθ) = cosθ - jsinθ
Subtracting both equations, we have
e^jθ = cosθ + jsinθ
-
e^(-jθ) = cosθ - jsinθ
e^jθ + e^(-jθ) = cosθ - cosθ + jsinθ - (-jsinθ)
Simplifying, we have
e^jθ - e^(-jθ) = 2jsinθ
dividing through by 2 we have
sinθ = ¹/₂[e^jθ - e^(-jθ)]
The answer would most likely be reflection
To write your equation you need to find out what amount of money Jamie makes per hour. To do this take $62.50 and divide it by 5. The answer is $12.50 per hour.
Please see step 1 in the attached work to see the equation that is represented. Then substitute in 11 hours for h to find the total amount of money made. See part 2 in the attached work. The answer is $137.50 for working 11 hours.
Answer:
.1
Step-by-step explanation:
Try and take it step by step.
-2.3 + 10.8 + (-8.4)
First let's rearrange and combine the negatives.
-2.3 + (-8.4) + 10.8
-2.3 + (-8.4) = - 10.7
Let's rewrite
10.8 - 10.7 and solve!
10.8 - 10.7 = .1