I also worked it out but I got -5/3
2(6p-5) ≥ 3(p-8) -1
12p-10 ≥ 3p-24-1
12p-10 ≥ 3p-25
12p-3p ≥ -25+10
9p ≥ -15
-15/9
P ≥ -5/3
Answer:
The answer is -18
Step-by-step explanation:
He starts off with $100 in his account. He then take so $45 to purchase a pair of jeans, so we have to subtract 45 from 100 and that gives us $55. He now has $55 in his account, he then adds another $25 to his account, so we have to add 25 to 55 and that will give us $80 in his account. Finally on Friday he takes out $98 of his checking account. He takes out more than he has in his checking account so we have to subtract $80 from $98 and we will get $18, but since he takes out more than what he has in his account the answer will be negative and we end up with -18 dollars in his checking account.
Since they want the unit of volume to be cm^3, first we have to convert the values given from inch into cm
=> 12 in = 30.48cm
4 in = 10.16cm
14 in = 35.56cm
Since both of the figures are cylinders, we have to find them one by one
Find the volume of the upper cylinder
Formula: V = pi*r^2*h
We know, pi = 3,
radius = diameter of base/2
=> r = 30.48cm/2 = 15.24cm
height = 30.48cm
We get V=3*(15.24)^2*30.48=21237.6cm^3
Find the volume of lower cylinder
Formula: V = pi*r^2*h
We know, pi = 3,
radius = diameter of base/2
=> r = 35.56cm/2 = 17.78cm
height = 10.16cm
We get
V = 3*(17.78)^2*10.16 = 9635.6cm^3
Therefore, the volume of the object is
V = 21237.6cm^3 + 9635.6cm^3
= 30873.2cm^3.
<span>Generate a function for the height of the cyliner as a function of radius. Use this function to generate a function of r for the material used. Take the derivative of that function, set it to zero, and solve for r.
</span><span>V=π<span>r2</span>h</span>h=d
h=d=2r
h=2r
<span>V=π<span>r2</span>2r
</span><span>V(r,h)=180.5=π<span>r2</span>h⟹h=<span>180.5/<span>π<span>r2</span></span></span></span><span>⟹A(r)=r(r+h)=<span>r2</span>+<span>180.5/<span>πr
</span></span></span><span>A(r)=2r(2r+h)=4<span>r2</span>+<span>361/<span>πr
</span></span></span>
<span><span>A′</span>(r)=8r−<span>361/<span>π<span>r2</span></span></span></span>
