Answer: See attachment below (graphing)
Step-by-step explanation:
<u>INFORMATION:</u>
The slope-intercept is when y=mx+b
mx=the slope
b=y-intercept
<u />
<u>REPHRASE EQUATION:</u>
y=mx+b
y=-3-x
y=(-1)x-3
<u>CONCLUSION:</u>
Slope=-1
Y-intercept=-3
Hope this helps!! :)
Please let me know if you have any questions
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:
15 dollars
Step-by-step explanation:
12 inches = 1 ft
so 12 inch by 12 inches is 1 ft * 1 ft
1 ft* 1 ft
1 ft^2
This is smaller than 3 ft^2 so they will get charged for 3 ft^2
3 ft^2 = 3 ft^2 * $5 / ft^2 = 15 dollars
Step-by-step explanation:
first bring 87.5 to right
25t=12.5+87.5
25t=100.0
then bring 25 to right so it will divided
t=100.0/25
t=4
putting value of t in 25t-87.5=12.5
25(4)-87.5=12.5