Answer:
z-test
hu=50
Step-by-step explanation:
Answer:
Step-by-step explanation:
Distributive property make it
-4n+ 14
Answer:
None of these
Step-by-step explanation:
math math math
Answer:
y= - 1/2(2)^(x)-2
Step-by-step explanation:
you could check on a graphing calculator
The answer is
w = 6 in
l = 16 in
h = 12 in
The volume of a rectangular prism with length l, width w, and height h is:
V = l * w * h
V = 1152 in³
After some internet research, I found out that:
l = 2w + 4
h = 18 - w
So,
V = l * w * h
1152 = (2w + 4) * w * (18 - w)
Multiply the first two factors:
1152 = (2w² + 4w) * (18 - w)
Multiply two remaining factors:
1152 = 36w² + 72w - 2 w³ - 4w²
Rearrange:
-2w³ + 36w² - 4w² + 72w = 1152
-2w³ + 32w² + 72w = 1152
-2w³ + 32w² + 72w - 1152 = 0
Divide all by 2:
-w³ + 16w² + 36w - 576 = 0
Multiply by (-1):
w³ - 16w² - 36w + 576 = 0
Rearrange:
(w³ - 36w) - (16w² - 576) = 0
Factor:
w * w² - w * 36 - (16 * w² - 16 * 36) = 0
w(w² - 36) - 16(w² - 36) = 0
(w - 16)(w² - 36) = 0
(w - 16)(w² - 6²) = 0
(w - 16)(w - 6)(w + 6) = 0
So, w - 16 = 0, or w - 6 = 0, or w + 6 = 0.
In other words: w = 16, or w = 6, or w = -6.
Width cannot be negative, so w ≠ -6.
If w = 16, then l = 2 * 16 + 4 = 32 + 4 = 36 and h = 18 - 16 = 2
But, since the height must be greater than the width (h > w), w ≠ 16
If w = 6, then l = 2 * 6 + 4 = 12 + 4 = 16 and h = 18 - 6 = 12.
Thus:
w = 6 in
l = 16 in
h = 12 in
