Answer:
6
Step-by-step explanation:
1/2 * 1/2 * 2 * 12 =
1/2 * 12 (because the 1/2 and 2 cancel out, as they form 1) =
6
Answer:its a or b or c or d or mainly bbbbbbb
Step-by-step explanation:
First, conceptually understand what an inverse function is, it makes solving it very intuitive. An inverse function is simply a function which has points (y,x) for every point (x,y) of the parent function. So you are essentially taking all points of the parent function and switching the x and y coordinates for each. Those switched coordinates are produced by the "inverse function".
Mathematically then, finding the inverse function is a matter of solving for x and then switching the variable labels. In this case:
y=2x+1 subtract 1 from both sides
y-1=2x divide both sides by 2
(y-1)/2=x now just switch the labels for the variables...
y=(x-1)/2 so
f^-1(x)=(x-1)/2 is the inverse of f(x)=2x+1
You know that d = 100 and w = 125, so you plug that into the equation and solve as shown:
b= 100 + d - w
= 100 + 100 - 125
= 200 - 125
= $75
You now have $75 left as balance.
Answer:
C. 14 metres cubed
Step-by-step explanation:
The volume of a sphere is denoted by: 
, where r is the radius, while the volume of a cylinder is denoted by: 
, where r is the radius and h is the height.
Here, we know that the sphere and cylinder have the same radius and height. However, the "height" of the sphere is technically just the diameter, which is twice the radius. So, h = 2r. We know the volume of the cylinder is 21, so:
πr³ = 21/2 = 10.5
Now plug this into the volume of a sphere formula:
The answer is C, 14 metres cubed.
