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Leni [432]
3 years ago
7

Why did the river get less polluted as it went down stream?

Mathematics
1 answer:
kozerog [31]3 years ago
6 0

Answer:

Pollution was diluted

Step-by-step explanation:

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A sheet of cardboard 12 inches square is used to make an open box by cutting out squares of equal size from the four corners and
GrogVix [38]

Answer:

x=6+3\sqrt{2} is the size of the square

Step-by-step explanation:

Let the side of the square cut from the cardboard be “x”

Size of the square base = 12 -2x, height of the box = x

Volume of square box = Area * height = (12-2x)^2 * x

Differentiating the above equation and equating it to zero, we get –  

d/dx ((12-2x)^2 * x)

d/dx{(144 + 4x^2 -48x)*x}= d/dx (144x + 4x^3 -48x^2)

d/dx (144x + 4x^3 -48x^2) = 0

144+8x^2-96X= 0\\18 +X^2-12X = 0

On solving above equation, we get –  

x=6+3\sqrt{2}  \\ x=6-3\sqrt{2}

5 0
3 years ago
In which quadrant would the vertex of f(x+ 3) + 2 be located?
klasskru [66]

Answer:

QII

Step-by-step explanation:

I'm thinking that this is supposed to be a quadratic and you forgot the ^2 at the end of the (x + 3).  IF this is the case, then the vertex form of a quadratic is

y=(x-h)^2+k where the h inside the parenthesis with the x- indicates side to side movement and the k indicates up and down movement.  Both translations begin at the origin, of course.  The important thing to remember here is that the form "x -" is constant.  So if our quadratic reflects "x - 3", then it is understood to be "x - (3)" and the movement is 3 units to the right.  If the quadratic reflects "x + 3", then it is understood to be "x - (-3)" and the movement is 3 units to the left.  Our quadratic, then, is shifted 3 units to the left of the origin and up 2 units, putting us in QII.

If this is what it appears to be, (x + 3) + 2, then it is x + 5 which is a line that has no vertex (which is why I'm thinking it must be a mistyped quadratic!)

8 0
4 years ago
The area of a parallelogram is six square units. Both the height and the length of the base are whole numbers. What are the poss
nexus9112 [7]

well, the area of a parallelogram is simply A = bh.

we know that "b" and "h" are whole numbers or namely integers, and we know the area is 6, doing a quick prime factoring of 6 we simply get

6 = 2 * 3

2 and 3 are both prime, in how many ways can we arrange them? just 2 and 3 or 3 and 2, so those are the only possible values for "b" and "h".

4 0
3 years ago
Ugh need help with this
almond37 [142]
-9x - 2
-9 (7) - 2
-63 - 2
-65
7 0
3 years ago
Read 2 more answers
The following is a parallelogram solve for the variables
Andrews [41]
X = 66 degrees. (Co interior angles are supplementary, add up to 180)

2y + 4 = y + 7
2y - y = 7 - 4
Y = 3
6 0
3 years ago
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