Answer:
Option 1
Step-by-step explanation:
The formula of constant porpotionality is
or
where k is the constant of porpotionality.
This equation is direct variation so we will use
The equation is in the form
1.5 is in k place so the constant of porpotionality is 1.5
Answer:
So starting off with 1a f(4)
We simply substitute x with 4 for the function
f(4)=2(4)-5
f(4)=8-5
f(4)=3
Next 1b, here it's a little different since you have to multiply the functions I think ( please correct me if I'm wrong).
gf(4), basically means functions g and f are being multiplied and their variables are being substituted with 4.
g(4)=4^2+3
g(4)=16+3
g(4)=19
and we also know from before that f(4)=3, so we'll do 19 times 3 which is 57
For the next two, I may be wrong, but I'm still going to try:
anything to the power of a negative is a fraction so for f^-1(x)=2x-5 we'll have 1/f(x)=x/2+5/2
And then for g^-1, we'll have 1/g(x)=
Hope I helped :)
Answer:
h = 54 feet
Step-by-step explanation:
The equation for the volume of a cone is V = × π × r² × h.
You have the volume, which is 8,138.88, and the radius of the base, which is 12.
V = 8,138.88
h = 12
π = 3.14
When you plug everything you know into the equation, you get:
V = × 3.14 × r² × h.
8,138.88 = × 3.14 × (12)² × h
After you multiply everything on the right side, you come out with:
8,138.88 = 150.72 × h
To find h, you can divide each side by 150.72.
8,138.88 ÷ 150.72 = 54 feet!