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podryga [215]
3 years ago
11

The circumference of a circular design is 2020 inches.

Mathematics
2 answers:
zhuklara [117]3 years ago
5 0

Answer:

Diameter of the circle is twice it's radius D=2r.

Circumference of the circle is 2πr.

According to the above problem,

<u>2π(radius)</u>=20 inches

2(radius)=20/π=20/3.14

Diameter=<u>6.37 inches</u>

<h3><u>6.37 inches</u> is the right answer.</h3>
musickatia [10]3 years ago
4 0
The answer is 6.37 your welcome
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If f(x) = 5x(3exponent) - 2 and g(x) = 2x+1 , find (f+g) (x)
Rus_ich [418]

For this case we must find

(f + g) (x).

By definition we have to:

(f + g) (x) = f (x) + g (x)

We have the following functions:

f (x) = 5x ^ 3-2\\g (x) = 2x + 1

Now, applying the given definition, we have:

(f + g) (x) = 5x ^ 3-2 + 2x + 1\\(f + g) (x) = 5x ^ 3 + 2x-1

Answer:

(f + g) (x) = 5x ^ 3 + 2x-1

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Given the function graphed below, what is the average rate of change between f(3) and f(7)?
Shkiper50 [21]
Answer: choice D) 20

-------------------------------

Explanation:

Locate 3 on the x axis number line. Draw a vertical line through 3 and this vertical line will cross the parabola at some point P. Mark this point P on the parabola. Then draw a horizontal line from P to the y axis. The horizontal line will land on y = 10. In short, this all shows us that (3,10) is a point on this parabola.

Repeat those steps above, but now for x = 7. You'll see that (7,90) is another point on this parabola.

We need to find the slope of the line through the two points (3,10) and (7,90). The average rate of change from x = 3 to x = 7 is the same as the slope of the line through those two points.

To find the slope, we use the slope formula
m = (y2 - y1)/(x2 - x1)
where (x1,y1) and (x2,y2) are the two points, and m is the slope

In this case,
(x1,y1) = (3,10) and (x2,y2) = (7,90)
further breaking down to
x1=3
y1=10
x2=7
y2=90
So we'll plug those four pieces of info into the equation and simplifying to get...
m = (y2 - y1)/(x2 - x1)
m = (90 - 10)/(7 - 3)
m = 80/4
m = 20

The slope of the line is 20, so therefore, the average rate of change is 20.

6 0
3 years ago
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