Your answer is 150.72.
First, plug in the radius and height into the equation. V=1/3pi*4^2*9
Next solve. 3.14 x 16 x 9 = 452.16
Then you need to divide 452.16 by 3 to get 150.72
Replace f(x) with y:
y = 5x-6
Swith the variables:
x = 5y -6
Now solve for y:
add 6 to each side:
x +6 = 5y
Divide both sides by 5:
y = (x+6)/5
Now replace y with the inverse function f^-1 (x):
f^-1(x) = (x+6)/5
Answer:
side length = 0.8 yards
area = side length^2= 0.8^2 = 0.64 or 64/100
Step-by-step explanation:
hope that helped
Answer:
0 < x ≤ 12 and 0 < y ≤ 36
Step-by-step explanation:
Here, x represents the number of female gazelles and y represents the number of male gazelles.
The zoo only has room for 12 female gazelles.
∵ The number of rooms must be more than or equal to the total female gazelles ,
12 ≥ x
Also, number of animals can not be negative,
And, it must be greater than 0.
⇒ 0 < x ≤ 12,
⇒ 3(0) < 3x ≤ 3(12)
⇒ 0 < 3x ≤ 36
∵ Number of males gazelles = 3 × number of female gazelles
⇒ y = 3x
⇒ 0 < y ≤ 36
Hence, the constraints to represent a thriving population of gazelles at the zoo are,
0 < x ≤ 12,
0 < y ≤ 36
