Answer: ∆V for r = 10.1 to 10ft
∆V = 40πft^3 = 125.7ft^3
Approximate the change in the volume of a sphere When r changes from 10 ft to 10.1 ft, ΔV=_________
[v(r)=4/3Ï€r^3].
Step-by-step explanation:
Volume of a sphere is given by;
V = 4/3πr^3
Where r is the radius.
Change in Volume with respect to change in radius of a sphere is given by;
dV/dr = 4πr^2
V'(r) = 4πr^2
V'(10) = 400π
V'(10.1) - V'(10) ~= 0.1(400π) = 40π
Therefore change in Volume from r = 10 to 10.1 is
= 40πft^3
Of by direct substitution
∆V = 4/3π(R^3 - r^3)
Where R = 10.1ft and r = 10ft
∆V = 4/3π(10.1^3 - 10^3)
∆V = 40.4π ~= 40πft^3
And for R = 30ft to r = 10.1ft
∆V = 4/3π(30^3 - 10.1^3)
∆V = 34626.3πft^3
Answer:
-1.2
Step-by-step explanation:
Given that the designer also programs a bird with a path that can be modeled by a quadratic function.
The bird starts at the vertex of the path at (0, 20) and passes through the point (10, 8).
If we treat this curve as line joining these two points then we can find the slope by the formula
Slope = change in y coordinate/change in x coordinate
Here the points given are
(0,20) and (10,8)
Slope of the line that represents the turtle's path
=-1.2
Answer:
Question 9: False
Question 10: False
Step-by-step explanation:
The third side is always greater than the other two sides.
<u>Question 9</u>
a = 6, b = 6, c = 5
Since the third side is the smallest, it would not create a triangle.
<u>Question 10</u>
a = 7, b = 2, c = 5
Since the third side is the smallest, it would not create a triangle.
Answer:
4x10-6 power
you just need to count the spaced or numbers till you get to 4 then put 10 then to the power of whatever and its -6 because it started from a small number
Answer:
the answer is c. 44, i hope it works
Step-by-step explanation:
