Answer:I did
Step-by-step explanation:
The difference is 950 -(346). The double negative turns into a positive , so it's basically 950 + 364 = 1296 degrees
6 itself is a multiple of 3, so any multiple of 6 is also a multiple of 3. We can
ignore the 3, and just find a number that's a common multiple of 4 and 6.
The way I do that is to investigate the multiples of 6, and just keep going until
I find one that's also a multiple of 4.
-- First multiple of 6 . . . 6. No, that's not a multiple of 4.
-- Second multiple of 6 . . . 12. Yes ! That's a multiple of 4.
So the least common multiple of 3,4,and 6 is 12.
After that, of course, multiples of 12 are also multiples of 3, 4, and 6, as well as
multiples of other numbers.
The 6 smallest multiples of 3,4, and 6 are ...
12, 24, 36, 48, 60, and 72 .
Answer:
Certain
Step-by-step explanation:
Since the deck only consists of red and pink cards, the chance of drawing a red or pink card is 100% or certain.
Answer:
<h2><em>
2ft by 2ft by 1 ft</em></h2>
Step-by-step explanation:
Total surface of the cardboard box is expressed as S = 2LW + 2WH + 2LH where L is the length of the box, W is the width and H is the height of the box. Since the cardboard box is without a lid, then the total surface area will be expressed as;
S = lw+2wh+2lh ... 1
Given the volume V = lwh = 4ft³ ... 2
From equation 2;
h = 4/lw
Substituting into r[equation 1;
S = lw + 2w(4/lw)+ 2l(4/lw)
S = lw+8/l+8/w
Differentiating the resulting equation with respect to w and l will give;
dS/dw = l + (-8w⁻²)
dS/dw = l - 8/w²
Similarly,
dS/dl = w + (-8l⁻²)
dS/dw = w - 8/l²
At turning point, ds/dw = 0 and ds/dl = 0
l - 8/w² = 0 and w - 8/l² = 0
l = 8/w² and w =8/l²
l = 8/(8/l² )²
l = 8/(64/I⁴)
l = 8*l⁴/64
l = l⁴/8
8l = l⁴
l³ = 8
l = ∛8
l = 2
Hence the length of the box is 2 feet
Substituting l = 2 into the function l = 8/w² to get the eidth w
2 = 8/w²
1 = 4/w²
w² = 4
w = 2 ft
width of the cardboard is 2 ft
Since Volume = lwh
4 = 2(2)h
4 = 4h
h = 1 ft
Height of the cardboard is 1 ft
<em>The dimensions of the box that requires the least amount of cardboard is 2ft by 2ft by 1 ft</em>