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:
The equation is: y y = 5/4 * x - 13
Step-by-step explanation:
The slope-intercept y = mx + c form of a straight line is In this case we have a point, (x, y) and the slope, m so all we need is a value for c. Substitute into y = mx + c - 3 = 5/4 * (8) + c - 3 = 10 + c c = - 13 y = 5/4 * x - 13 The equation is: y the formula for the situation have a point, (x 1 ,y 1 ) and the slope, Or you can use where you (m) y-y 1 =m(x-x 1 ) y - (- 3) = 5/4 * (x - 8) y + 3 = 5/4 * x - 10 y = 5/4 * x - 13 Answer link < II
Answer:
10
Step-by-step explanation:
What type of prism? triangular? Rectangular?
Answer:
No, none of these are in a 1:2:1 ratio form. To find out we simply divide the first number by the original number, then multiply the other original numbers by what we just got to find out if it works.
Let's try #1.
3/1 = 3. 2(3) = 6. We now already know that #1 is incorrect because it says 8 instead of 6.
#2 and #3
We can tell these are both wrong because the first and last number have to equal the same, but in these they are different.
Hope this helps you! :)
