The mathematical explanation is that if f(x) = x + 2 and y (x) = x -2, the relationship is inverse. Also, f(x) = -x and f(x) = 1/x to eliminate a zero value.
Answer:
3 or 2.999 (probably 3)
Step-by-step explanation:
So the volume of a cylinder = πr^2 * h
h = height
r = radius
now we know the radius. Leaving us with a simple equation which is:
π*9*h = 9π*h = 84.78 =
π*h = 9.42
h = 9.42 / π = 2.99847912785......
but we can round this to 2.999 or just 3. if you use 2.999 the volume is 84.79 which is as close as I'm gonna try to get. And you might ask why we're rounding to 2.999 and not 2.998? This is because that huge number is the minimum. And 2.998 is smaller than that huge number, meaning it would technically be less than 84.78 cubic ft. But this doesn't really matter because the answer your teacher is probably looking for is 3.
Reference my work if you're are confused, however, it's really messy so sorry about that.
Answer:
166.5 m³
Step-by-step explanation:
Vcone = ⅓ × pi × r² × h
pi × r² × h = 3 × Vcone
Vcylinder = pi × r² × h
Vcylinder = 3 × Vcone
Vcylinder = 3 × 55.5 = 166.5 m³
The number of words james can type in 6 minutes at the same rate is 360 words
Given:
Number of minutes to type 150 words = 2.5 minutes
let
number of words James can type in 6 minutes = x
Equate the ratio of the number of words to number of minutes
150 : 2.5 = x : 6
150/2.5 = x/6
cross product
150 × 6 = 2.5 × x
900 = 2.5x
x = 900/2.5
x = 360 words
Therefore, the number of words james can type in 6 minutes is 360 words
Learn more about ratio:
brainly.com/question/16981404
We have to rewrite the expression so that it has no denominator.
For example:
1 / x = x^(-1)
1/8 = 8^(-1); 1/x^(4) = x^(-4); 1/y^(3) = y^(-3); 1/z = z^(-1).