Step-by-step explanation:
the answer is
7z-35
hope this helps bro
Which of the following is the smallest number? A 0.625 B 0.25 C 0.375 D 0.5
Answer:
Option B is correct.
0.25
Step-by-step explanation:
Given:
There are 4 decimal values 0.625, 0.25, 0.375 and 0.5
So we find smallest value.
So we arrange the given value in descending order.
![0.625>0.5>0.375>0.25](https://tex.z-dn.net/?f=0.625%3E0.5%3E0.375%3E0.25)
Therefore the smallest value is 0.25
Answer:
![a+b-c](https://tex.z-dn.net/?f=a%2Bb-c)
*Note c could be written as a/b
Step-by-step explanation:
-sin(-t - 8 π) + cos(-t - 2 π) + tan(-t - 5 π)
The identities I'm about to apply:
![\sin(a-b)=\sin(a)\cos(b)-\sin(b)\cos(a)](https://tex.z-dn.net/?f=%5Csin%28a-b%29%3D%5Csin%28a%29%5Ccos%28b%29-%5Csin%28b%29%5Ccos%28a%29)
![\cos(a-b)=\cos(a)\cos(b)+\sin(a)\sin(b)](https://tex.z-dn.net/?f=%5Ccos%28a-b%29%3D%5Ccos%28a%29%5Ccos%28b%29%2B%5Csin%28a%29%5Csin%28b%29)
![\tan(a-b)=\frac{\tan(a)-\tan(b)}{1+\tan(a)\tan(b)}](https://tex.z-dn.net/?f=%5Ctan%28a-b%29%3D%5Cfrac%7B%5Ctan%28a%29-%5Ctan%28b%29%7D%7B1%2B%5Ctan%28a%29%5Ctan%28b%29%7D)
Let's apply the difference identities to all three terms:
![-[\sin(-t)\cos(8\pi)+\cos(-t)\sin(8\pi)]+[\cos(-t)\cos(2\pi)+\sin(-t)\sin(2\pi)]+\frac{\tan(-t)-\tan(5\pi)}{1+\tan(-t)\tan(5\pi)}](https://tex.z-dn.net/?f=-%5B%5Csin%28-t%29%5Ccos%288%5Cpi%29%2B%5Ccos%28-t%29%5Csin%288%5Cpi%29%5D%2B%5B%5Ccos%28-t%29%5Ccos%282%5Cpi%29%2B%5Csin%28-t%29%5Csin%282%5Cpi%29%5D%2B%5Cfrac%7B%5Ctan%28-t%29-%5Ctan%285%5Cpi%29%7D%7B1%2B%5Ctan%28-t%29%5Ctan%285%5Cpi%29%7D)
We are about to use that cos(even*pi) is 1 and sin(even*pi) is 0 so tan(odd*pi)=0:
![-[\sin(-t)(1)+\cos(-t)(0)]+[\cos(-t)(1)+\sin(-t)(0)]+\frac{\tan(-t)-0}{1+\tan(-t)(0)](https://tex.z-dn.net/?f=-%5B%5Csin%28-t%29%281%29%2B%5Ccos%28-t%29%280%29%5D%2B%5B%5Ccos%28-t%29%281%29%2B%5Csin%28-t%29%280%29%5D%2B%5Cfrac%7B%5Ctan%28-t%29-0%7D%7B1%2B%5Ctan%28-t%29%280%29)
Cleaning up the algebra:
![-[\sin(-t)]+[\cos(-t)]+\frac{\tan(-t)}{1}](https://tex.z-dn.net/?f=-%5B%5Csin%28-t%29%5D%2B%5B%5Ccos%28-t%29%5D%2B%5Cfrac%7B%5Ctan%28-t%29%7D%7B1%7D)
Cleaning up more algebra:
![-\sin(-t)+\cos(-t)+\tan(-t)](https://tex.z-dn.net/?f=-%5Csin%28-t%29%2B%5Ccos%28-t%29%2B%5Ctan%28-t%29)
Applying that sine and tangent is odd while cosine is even. That is,
sin(-x)=-sin(x) and tan(-x)=-tan(x) while cos(-x)=cos(x):
![\sin(t)+\cos(t)-\tan(t)](https://tex.z-dn.net/?f=%5Csin%28t%29%2B%5Ccos%28t%29-%5Ctan%28t%29)
Making the substitution the problem wanted us to:
![a+b-c](https://tex.z-dn.net/?f=a%2Bb-c)
Just for fun you could have wrote c as a/b too since tangent=sine/cosine.
Answers:
Ava’s graph is a vertical translation of f(x) = x^2.
Ava’s graph moved 4 units from f(x) = x^2 in a positive direction.
Ava’s graph has a y-intercept of 4.
Given:
Ava graphs the function
.
Victor graphs the function ![g(x) = (x + 4)^2](https://tex.z-dn.net/?f=%20g%28x%29%20%3D%20%28x%20%2B%204%29%5E2%20)
To find y intercept we plug in 0 for x
![h(x) = x^2 + 4](https://tex.z-dn.net/?f=%20h%28x%29%20%3D%20x%5E2%20%2B%204)
= 4
So ,Ava’s graph has a y-intercept of 4.
Ava graphs the function ![h(x) = x^2 + 4](https://tex.z-dn.net/?f=%20h%28x%29%20%3D%20x%5E2%20%2B%204)
If any number is added at the end then the graph will be shifted up. 4 is added at the end so there will be vertical translation.
Hence , Ava’s graph is a vertical translation of f(x) = x^2. Also Ava moved 4 units up from f(x) = x^2 in a positive y- direction.
Victor graphs the function ![g(x) = (x + 4)^2](https://tex.z-dn.net/?f=%20g%28x%29%20%3D%20%28x%20%2B%204%29%5E2%20)
If any number added with x then the graph will be shifted left. the graph will be shifted in negative x direction.
Answer:
He would need to deposit A.$500