Answer:
![-\cos nw_0t](https://tex.z-dn.net/?f=-%5Ccos%20nw_0t%20)
Step-by-step explanation:
We can use the double angle identity for sine.
![\sin (A+B)=\sin A \cos B+\sin B\cos A](https://tex.z-dn.net/?f=%5Csin%20%28A%2BB%29%3D%5Csin%20A%20%5Ccos%20B%2B%5Csin%20B%5Ccos%20A)
The given expresion is
![\sin (nw_0t-90)](https://tex.z-dn.net/?f=%5Csin%20%28nw_0t-90%29%20)
We apply the identity to get:
![\sin (nw_0t-90)=\sin nw_0t \cos 90-\cos nw_0t \sin 90](https://tex.z-dn.net/?f=%5Csin%20%28nw_0t-90%29%3D%5Csin%20nw_0t%20%5Ccos%2090-%5Ccos%20nw_0t%20%5Csin%2090)
We simplify to obtain;
![\sin (nw_0t-90)=\sin nw_0t (0)-\cos nw_0t (1)](https://tex.z-dn.net/?f=%5Csin%20%28nw_0t-90%29%3D%5Csin%20nw_0t%20%280%29-%5Ccos%20nw_0t%20%281%29)
This simplifies to:
The correct answer is D
Answer:
The answer is below
Step-by-step explanation:
The bar chart to the question is attached below.
The distance traveled by Paolo = 210 m, The distance traveled by Lucas = 150 m, The distance traveled by Jashua = 175 m, The distance traveled by Topher = 190 m
1) The farther distance walk by Paolo = The distance traveled by Paolo - The distance traveled by Topher = 210 m - 190 m = 20 m
2) The farther distance walk by Jasha = The distance traveled by Jashua - The distance traveled by Lucas = 175 m - 150 m = 25 m
3) The farther distance walk by Topher = The distance traveled by Topher - The distance traveled by Lucas = 190 m - 150 m = 40 m
4) Combined distance of Paolo's and Lucas = 210 m + 150 m = 360 m
Combined distance of Jashua and Topher = 175 m + 190 m = 365 m
Therefore the Combined distance of Jashua and Topher is more
5) Average distance = (210 + 150 + 175 + 190)/4 = 181.25 m
The formula is
A=p (1+r)^t
A future value?
P present value 7
R interest rate 0.05
T time 9 years
A=7×(1+0.05)^(9)
A=10.86
Eva first should have started with the numbers in parentheses.
Step 1: (7.3-7.2) = 0.1
Step 2: 0.1+3.7=3.8
Step 3: 3.8-3.8=0
The error is in step 2. She wrote commutative instead of associative.
The answer would be the first one