I can’t read the bottom half of the fraction so I will just assume it’s (a-b) to the power of 3.
So basically you have power of 4 and power of 3. so you can divide the top and bottom by (a-b) to the power of 3 so you would be left with a-b/1 = a-b
Final answer: a-b
Yes, the formula for the volume of a prism is the area of the base multiplied by the height of the prism. To find the area of the base since it's a triangle is 1/2 base x height. Which would be 1/2(4)(12)=24. Then you would take that number and multiply it by the height of the prism. Which would be (24)(6)=144 cubic units.
I don't know what is between f(x) and g(x), so (for now) there are two posible answers:
1.

- function multiplication:

2.

- function composition:
Given:

where, f(x) is the amount of a 12-mg dose of antibiotic left in her bloodstream after x hours.
To find:
The remaining mg in her bloodstream after 2 hours.
Solution:
The amount of a 12-mg dose of antibiotic left in her bloodstream after x hours is represented by the function

Putting x=2, we get the remaining mg in her bloodstream after 2 hours.



Therefore, the remaining mg in her bloodstream after 2 hours is 8.0688 mg.