Answer:
You didn't provided the answer choices, but the answer is he scored 22 points in total.
Step-by-step explanation:
Answer:
see attached
Step-by-step explanation:
To find the inverse function, solve ...
x = f(y)
x = (y^7)/7 -4 . . . . . . . use the definition of f(x)
x +4 = (y^7)/7 . . . . . . add 4
7(x +4) = y^7 . . . . . . multiply by 7
(7(x +4))^(1/7) = y . . take the 7th root
The inverse function is the one shown in the attachment.
<span>-8 < x -3 < 1
we have two inequations:
* -8<x-3 and -8+3<x-3+3 or -5 < x or x>-5
* x-3<1 or x-3+3<1+3 and we have x<4
For all cases we have -5<x<4
or </span><span>interval notations: x</span>∈(-5;4)
have fun
Answer:
Step-by-step explanation:
Circumference = 6π
θ = 8/3 = 2.7 radians
Answer:
Step-by-step explanation:
The total surface area of the sphere = 2πr²
Total surface area of the cylinder = 2πr²+2πrh
Total surface area of the solid = 4πr²+2πrh
r is the radius of the sphere and the cylinder
h is the height of the cylinder
Total surface area of the solid = 2πr(r+h)
If the total height of the solid is 18 cm, then r+h = 18cm
Given the Total surface area of the solid = 205π cm
205π = 2πr(r+h)
205π = 2πr(18)
205π = 36πr
205 = 36r
Divide both sides by 36
205/36 = 36r/36
r = 5.69cm
Since r+h = 18cm
5.69+h = 18
h = 18-5.69
h = 12.31cm
