V (Volume) = s^2 * h = 48 ------> h = 48s^-2
C (Cost) = (4sh)(2) + (2s^2)(1) = 2s^2 + 8sh = 2s^2 + 8s(48s^-2) = 2s^2 + 384s^-1
dC/ds = 4s - 384s^-2 = 0 ------> 4s(1 - 96s^-3) = 0
Since s can't be 0, the only possible solution is:
1 - 96s^-3 = 0
s^3 - 96 = 0
s = cube root(96) = 2 cube root(12) ~ 4.579 cm
s^2 = 4 + 2 cube root(18) = 2[2 + cube root(18)]
h = 48/s^2 = 24/[2 + cube root(18)] ~ 5.194 cm
Answer:
a. $3600
b. 6:5
Step-by-step explanation:
Put the question into an equation:
8x - 1/4 x 8x = 5x + 450
(simplify before solving) 6x = 5x + 450
(solve) 6x-5x = 450
x = 450
This means that Jimmy had 8 x 450 $ to start with = 3600
you can check this by subtracting a quarter of 3600 from 3600 and also multiplying 450 by 5 and then obtaining their difference. You get 450!
Now ratio of new amounts:
Jimmy now has: $2700
John still has: $2250
so ratio is 2700:2250
simplify to 6:5
Hope this helps
Please mark brainiest
Answer:
Radius of a circle
Step-by-step explanation:
1. A line from the center of a circle to a point on the circle.
2. The distance from the center of a circle to a point on the circle.
Try this Drag the orange dot. The blue line will always remain a radius of the circle.
Answer:
4mph
Step-by-step explanation:
just look at the graph
A=L*W
L=W+5
A=(W+5)W
500=W²+5W
W²+5W-500=0
W=(-5+/-√(25+4*500))/2=(-5+/-√2025)/2=(-5+/-45)/2
we are going to take only positive value, so W=(-5+45)/2=20
L=W+5=20+5=25
W=20,
L=25
