Answer:
Cost of material is $245.31
Step-by-step explanation:
Let dimension of box,
<em>The length of this base is twice the width.</em>
<em>∴ </em>x = 2y
Volume of box = 10 m³
∴ xyz = 10
⇒ 2y²z = 10
⇒ y²z = 5
<em>Material for the base costs $15 per square meter.</em>
Total cost of base = 15xy
Total cost of base = 30y² [∵ x = 2y ]
<em>Material for the sides costs $9 per square meter.</em>
Total cost of side = 9(2xz+2zy)
Total cost of side = 18(xz+yz)
Total cost of material for container = 30y² + 18(xz+yz)
[From (i)]
Differentiate w.r.t y
For critical point , C'(y)=0
The minimum cost of container material at
Hence, the cheapest cost of material for container is $245.31
Answer:
-14/1
Step-by-step explanation:
Answer:
The equation of the circle is
Step-by-step explanation:
we know that
The equation of a circle in standard form is equal to
where
(h,k) is the center
r is the radius
step 1
Find the radius of the circle
The radius of the circle is equal to the distance from the center to any point on the circle
we have
(–5, –3) and (–2, 1)
Find the distance
the formula to calculate the distance between two points is equal to
substitute
step 2
Find the equation of the circle
we have
substitute
therefore
The equation of the circle is
-32=2(x^2+10x)
-32=2x^2+20x
-2x^2-20x-32=0
-2(x+2)(x+8)=0
therefore,
x+2=0 or x+8=0
so,...... x= -2 or -8
Answer:
the least common denominator is 54 although there are some that are higher ones
Step-by-step explanation: