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fredd [130]
3 years ago
15

Solve for k 1.2k = 9.6

Mathematics
1 answer:
Nataly [62]3 years ago
4 0
9.6/1.2=k
k=8
ccccccccccc
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A rectangular box has a base that is 4 times as long as it is wide. The sum of the height and the girth of the box is 200 feet.
enyata [817]

Answer: V(W) = (1/3)*(*W^2*800ft - 8W^3) and the domain is 0 < W < 100ft.

Step-by-step explanation:

The dimensions of the box are:

L = length

W = width

H = heigth.

We know that:

L = 4*W

And the girth of a box is equal to: G = 2*W + 2*H

then we have:

2*W + 2*H + H = 200ft

2W + 3*H = 200ft

Then we have two equations:

L = 4*W

2W + 3*H = 200ft

We want to find the volume of the box, which is V = W*L*H

and we want in on terms of W.

Then, first we can replace L by 4*W (for the first equation)

and:

2*W + 3*H = 200ft

3*H = 200ft - 2*W

H = (200ft - 2*W)/3.

then the volume is:

V(W) = W*(4*W)*(200ft - 2*W)/3

V(W) = (1/3)*(*W^2*800ft - 8W^3)

The domain of this is the set of W such that the volume is positive, then we must have that:

W^2*800ft > 8W^3

To find the maximum W we can see the equality (the minimum extreme is 0 < W, because the width can only be a positive number)

W^2*800ft = 8W^3

800ft = 8*W

100ft = W.

This means that if W is equal or larger than 100ft, the equation gives a negative volume.

Then the domain is 0 < W < 100ft.

6 0
3 years ago
Find the surface area of the triangular prism. and equation plz
Firdavs [7]

Answer:

648

Step-by-step explanation:

A=Ph

P=perimeter of triangle

P=6+6+6

P=18

h= height of prism

h=38

A=ph

A=18*36

A=648

4 0
3 years ago
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Which of the following is the quotient of the rational expressions shown here?
alisha [4.7K]

Answer:

x^2 /(x^2 -36)

Step-by-step explanation:

x/(x-6) ÷ (x+6) /x

Copy dot flip

x/(x-6) * x/(x+6)

x^2/ ( x-6)(x+6)

This is the difference of squares( a-b)(a+b) = a^2 -b^2

x^2 /(x^2 -36)

7 0
3 years ago
3(x - 4) = -3. Solve for x.
marshall27 [118]

Answer:

x = 3

Step-by-step explanation:

3(x - 4) = -3

Divide by 3

3/3(x - 4) = -3/3

x-4 = -1

Add 4 to each side

x-4+4 = -1+4

x = 3

6 0
3 years ago
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How can you represent operations on a number line
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What are what are you talking abt
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