The tax is $2.80 but the total is $42.80
Answer:
Answer is the second one
Step-by-step explanation:
Log
![log(x - 2)](https://tex.z-dn.net/?f=%20log%28x%20-%202%29%20)
X-2 means it is shifted to the right by 2 units also there is no negative before log so it os not reflected
Step-by-step explanation:
![\sin^2 (\frac{\pi}{4} - \alpha) = \frac{1}{2}(1 - \sin 2\alpha)](https://tex.z-dn.net/?f=%20%5Csin%5E2%20%28%5Cfrac%7B%5Cpi%7D%7B4%7D%20-%20%5Calpha%29%20%3D%20%5Cfrac%7B1%7D%7B2%7D%281%20-%20%5Csin%202%5Calpha%29%20)
Use the identity
![\sin^2 \theta = \dfrac{1 - \cos 2\theta}{2}](https://tex.z-dn.net/?f=%20%5Csin%5E2%20%5Ctheta%20%3D%20%5Cdfrac%7B1%20-%20%5Ccos%202%5Ctheta%7D%7B2%7D%20)
on the left side.
![\dfrac{1 - \cos [2(\frac{\pi}{4} - \alpha)]}{2} = \frac{1}{2}(1 - \sin 2\alpha)](https://tex.z-dn.net/?f=%20%5Cdfrac%7B1%20-%20%5Ccos%20%5B2%28%5Cfrac%7B%5Cpi%7D%7B4%7D%20-%20%5Calpha%29%5D%7D%7B2%7D%20%3D%20%5Cfrac%7B1%7D%7B2%7D%281%20-%20%5Csin%202%5Calpha%29%20)
![\dfrac{1 - \cos (\frac{\pi}{2} - 2\alpha)}{2} = \frac{1}{2}(1 - \sin 2\alpha)](https://tex.z-dn.net/?f=%20%5Cdfrac%7B1%20-%20%5Ccos%20%28%5Cfrac%7B%5Cpi%7D%7B2%7D%20-%202%5Calpha%29%7D%7B2%7D%20%3D%20%5Cfrac%7B1%7D%7B2%7D%281%20-%20%5Csin%202%5Calpha%29%20)
Now use the identity
![\sin \theta = \cos(\frac{\pi}{2} - \theta)](https://tex.z-dn.net/?f=%20%5Csin%20%5Ctheta%20%3D%20%5Ccos%28%5Cfrac%7B%5Cpi%7D%7B2%7D%20-%20%5Ctheta%29%20)
on the left side.
![\dfrac{1 - \sin 2\alpha}{2} = \frac{1}{2}(1 - \sin 2\alpha)](https://tex.z-dn.net/?f=%20%5Cdfrac%7B1%20-%20%5Csin%202%5Calpha%7D%7B2%7D%20%3D%20%5Cfrac%7B1%7D%7B2%7D%281%20-%20%5Csin%202%5Calpha%29%20)
![\frac{1}{2}(1 - \sin 2\alpha) = \frac{1}{2}(1 - \sin 2\alpha)](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%281%20-%20%5Csin%202%5Calpha%29%20%3D%20%5Cfrac%7B1%7D%7B2%7D%281%20-%20%5Csin%202%5Calpha%29%20)
The value of f is 348 pounds.
Given
At a big cat reserve, a male Bengal tiger weighs more than a female Bengal tiger.
The male tiger weighs 445 pounds.
The difference in the weight of the tigers is 97 pounds.
<h3>Difference;</h3>
The meaning of DIFFERENCE is the quality or state of being dissimilar or different.
The zookeeper created the bar diagram and the equation below is given as:
![\rm 445=f+97](https://tex.z-dn.net/?f=%5Crm%20445%3Df%2B97)
On solving the equation the value of f is;
![\rm 445=f+97\\\\f = 445-97\\\\f= 348](https://tex.z-dn.net/?f=%5Crm%20445%3Df%2B97%5C%5C%5C%5Cf%20%3D%20445-97%5C%5C%5C%5Cf%3D%20348)
Hence, the value of f is 348 pounds.
To know more about the differences click the link given below.
brainly.com/question/11572024
Answer:
525 truckloads
Step-by-step explanation:
First we need to find the volume of the pool. This lets us know how much dirt must be moved.
25*19*5 = 2,375 cubic feet total.
Divide that by 4.53 cubic feet for each load, and we get 524.282 truckloads. Round up to the nearest integer for a final answer of 525 truckloads.