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Sveta_85 [38]
3 years ago
11

(-3,7] U (-8,4], what is the set builder notation and illustrate using a number line

Mathematics
1 answer:
satela [25.4K]3 years ago
8 0
The set builder notation is {-8,-3,4,7} and the number line would begin at -8 and continue to positive 7. It would show a closed dot on top of -8 with a line that continues to a closed dot above 7.

The union of the 2 sets means that the final notation includes all elements.
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forty years ago gasoline cost $0.30 per gallon on average. ten years ago gasoline average about $1.50 per gallon. What is the pe
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It is as 5x's as much.
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How do I simplify by combining these numbers -3x - 5y + 2x + 10y
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They are basically like groups. Take -3x+2x , Just do -3 +2 = -1 and then just add the x. So -1x. Next you have -5y+10y . Just do -5 + 10 = 5 and remember to add the x on so your final answer should be -1x + 5y 
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I need help finding y
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to solve for y, we must multiply by t on both side to get ride of the t in the denominator. By doing this, we will get:

{t}^{3}

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Can someone help me find the area and perimeter for This and can you explain the process
Eva8 [605]

Answer:

<em>Area of Figure; 3.24π + 21.6 ( square meters ),</em>

<em>Perimeter of Figure; 3.6π + 12 ( meters )</em>

Step-by-step explanation:

As we can see, this picture consists of half circles and a rectangle. If we were to combine each of these half circles, we would get a whole circle with a radius of 1.8 meters;

Area of Circle; πr^2 = π * ( 1.8 )^2 = 3.24π ( square meters ),

If 1.8 is known to be the radius of this full circle, it would be that the diameter is 1.8 * 2 ⇒ 3.6. Knowing that the diameter is one dimension of a rectangle in the picture, we can assume the area of the rectangle to be;

Area of Rectangle; length * width = 6 * 3.6 = 21.6 ( square meters ),

<em>Area of Figure; 3.24π + 21.6 ( square meters )</em>

Now to determine the circumference of these two half circles / whole circle, let us apply the formula 2πr;

Perimeter of Circle; 2πr = 2π * 1.8 = 3.6π

To find the perimeter of the whole figure, we would take the lengths of two of the sides of the rectangles, in addition to the perimeter of the whole circle;

Perimeter of Whole Figure; 3.6π + 6 * 2 = 3.6π + 12 ( meters ),

<em>Perimeter of Whole Figure; 3.6π + 12 ( meters )</em>

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