Answer:-3
Step-by-step explanation:
Answer:
-8p + 7
n = --------------
8 - 5p
Step-by-step explanation:
Let's group the n terms in 5pn-8p=7n-7 .
Subtract 5pn from both sides. This results in -8p = 7n - 7 - 5pn
Now add 7 to both sides. This will group the n terms on the right side:
-8p + 7 = 7n - 5pn
Factor n out of 7n - 5pn:
-8p + 7 = n(7 - 5p)
Finally, divide both sides by (7 - 5n) to isolate n:
-8p + 7
n = --------------
8 - 5p
Nancy put 7 1/2 cups of vegetables in each container
Hope the given solution helps:) Have a great day. Do mark me brainliest if it has really helped you. Thank You.
The volume of the cylinder is:
V = pi * r ^ 2 * h = 64
The surface area is:
A = 2 * pi * r ^ 2 + 2 * pi * r * h
We write the area as a function of r:
A (r) = 2 * pi * r ^ 2 + 2 * pi * r * (64 / (pi * r ^ 2))
Rewriting:
A (r) = 2 * pi * r ^ 2 + 2 * (64 / r)
A (r) = 2 * pi * r ^ 2 + 128 / r
Deriving:
A '(r) = 4 * pi * r - 128 / r ^ 2
We equal zero and clear r:
0 = 4 * pi * r - 128 / r ^ 2
128 / r ^ 2 = 4 * pi * r
r ^ 3 = 128 / (4 * pi)
r = (128 / (4 * pi)) ^ (1/3)
r = 2.17 cm
The height is:
h = 64 / (pi * r ^ 2)
h = 64 / (pi * (2.17) ^ 2)
h = 4.33 cm
Answer:
The dimensions giving the minimum surface area are:
r = 2.17 cm
h = 4.33 cm
