The given statement is true.
Step-by-step explanation:
Given sets are:
D = {x|x is a whole number}
E = {x|x is a perfect square between 1 and 9}
F = {x|x is an even number greater than or equal to 2 and less than 9}
as the sets are given in set builder notation,, we will first write the sets in set notation.
So,
D = {0,1,2,3,4,...}
E = {4,9}
F = {2,4,6,8}
Now,
EUF = {4,9} U {2,4,6,8}
= {2,4,6,8}
Hence,
The given statement is true.
Keywords: Union,sets
Learn more about sets at:
#LearnwithBrainly
((There has been a malfunction or this users account may have been deleted)) (deleted) (user)
Answer: B
Step-by-step explanation: I think if it is wrong i am so so so so so so sorry but i am 79.99999% positive
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>
The functin f(x) = 2^x is an exponential function.
It does not have vertical asymptotes because the function is defined for all the real values.
To find the horizontal asymptotes calculate the limits when the function grows positively and negatively.
The limif of 2^x when x goes to + infinity is infinity so there is not asymptote to this side.
The limit of 2^x when x goes to - infinity is 0, so y = 0 is an asymptote.
Answer: the equation for the asymptote is y = 0.
