Answer:
domain: x>3/5
Step-by-step explanation:
First we need to derive our function g(x) to get a new function g'(x)
To do this we will have to apply chain rule because we have an inner and outer functions.
Our G(x) = square root(3-5x)
Chain rule formula states that: d/dx(g(f(x)) = g'(f(x))f'(x)
where d/dx(g(f(x)) = g'(x)
g(x) is the outer function which is x^1/2
f(x) is our inner function which is 3-5x
therefore f'(x)= 1/2x^(-1/2) and f'(x) = -5
g'(f(x)) = -1/2(3-5x)^(-1/2)
Applying chain rule then g'(x) = 1/2 (3-5x)^(-/1/2)*(-5)
But the domain is the values of x where the function g'(x) is not defined
In this case it will be 3-5x > 0, because 3-5x is a denominator and anything divide by zero is infinity/undefined
which gives us x >3/5
There are 14 floors in the building, because since Juan went up 4 floors, down 3 floors, and up one floor; so we know that he is 2 floors above from where he originally started. Once he went down 9 floors he passed the starting point and went to the bottom of the building. So, the middle must have been the 7th floor. Once I knew that I multiplied 7*2 and it got me 14. So in total there are 14 floors. I hope this helped ^^
The volume of the ball is 33.5 cubic centimeter.
<u>Step-by-step explanation:</u>
It is given that, a ball has a radius of 8 cm.
We know that, the ball is in shape of the sphere.
The question is asked to find the volume of the ball.
To find the volume of the ball, you need to use the formula for volume of the sphere.
Volume of the sphere = (4/3)πr³
where,
- π has the default value of 3.14
- r is the radius of the ball.
Volume of the ball = (4/3)× 3.14× 8
⇒ 33.49
⇒ 33.5 (rounded to the nearest tenth)
⇒ 33.5 cubic centimeter.
∴ The volume of the ball is 33.5 cubic centimeter.
Answer:
Vf = 118.365 m3
Step-by-step explanation:
Vcil = Pi*[(20)^2]*(100=
Vcil = 125.600 m3
Vesf = (4/3)*Pi*(12)^3
Vesf = 7235 m3
Then
Vf = Vci - Vesf
Vf = 125.600 - 7235
Vf = 118365 m3
Best regards
4x + 17.50 = 53.50
the prices of each shrub would be 9 dollars each
