Answer:
x=1/3
Step-by-step explanation:
A function f is given as
in the interval [0,1]
This function f being an algebraic polynomial is continuous in the interval [0,1] and also f is differntiable in the open interval (0,1)
Hence mean value theorem applies for f in the given interval
The value
Find derivative for f
Equate this to -5 to check mean value theorem
We find that 1/3 lies inside the interval (0,1)
It would be $2.6 (or $2.60) per pound.
The answer is 17/25. Hope this helps! :) I know how you feel!
Answer:
The radius of the water bottle is 2.72cm
Step-by-step explanation:
In this question, we are concerned with calculating what the radius of the cylindrical water bottle is given its volume and height.
Mathematically, the volume of a cylinder is V = pi * r^2 * h
From the question, we know that V = 179 cm^3. , h = 7.7cm while r = ?
we substitute these values into the volume equation.
179 = pi * r^2 * 7.7
179 = 3.14 * r^2 * 7.7
179 = 24.178 * r^2
r^2 = 179/24.178
r^2 = 7.403
r = square root 7.403
r = 2.72 cm
Equation 1) 10x + 2y = 30
Equation 2) 4x + y = 4
Multiply all of equation 2 by 2.
2) 2(4x + y = 4)
2) 8x + 2y = 8
1) 10x + 2y = 30
Subtract equations from each other.
-2x = -22
Divide both sides by -2.
x = -22/-2
x = 11
B) x = 11
~Hope I helped!~
