Answer:
-5 and initial value is -1
Step-by-step explanation:
Slope= y2-y1/x-x1
-11-(-1)/2-0
-10/2
-5
Initial value is y-intercept where x is 0 (0,y)
so
(0,-1) is starting point
7) A. A variable is an unknown value, and x is unknown. Constants are known values so they cannot have X in it.
8)A again for the same reason as number 7
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:
4,095 ft³
Step-by-step explanation:
V=LWH
V = 3 x 15 x 14
V= 4,095
