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NemiM [27]
3 years ago
11

Find linear models for each set of data. In what year will the two quantities be​ equal? x y 1970 67.8 1975 69.6 1980 70.5 1985

71.4 1990 72 1995 72.4 2000 74.1
Mathematics
1 answer:
DaniilM [7]3 years ago
4 0

Answer:

The graph solution is defined in the attachment file please find it.

Step-by-step explanation:

The first line equation:

\to Y= 0.22x + 67.5\\\\

The second line equation:

\to  Y= 0.15x + 75.507\\\\

Intersection points:

\to (114.387,92.665)\\\\

By adding the value of the first year (1970) into the x-value that is

\to 114.387+1970=2084.387

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The volume of a cube is 125 cubic meters. What is the length (in meters) of one edge of the cube?
drek231 [11]

Answer:

the length of the edge of a cube with a volume of 125 is 5.

Step-by-step explanation:

5 0
3 years ago
Plot the following radian measures on the given unit circle
son4ous [18]

By our very goofy system the circle constant \pi denotes half a circle, 180^\circ. So the conversion factor from radians to degrees is


\dfrac{ 180^\circ}{\pi}


\dfrac{\pi}{3} \times \dfrac{ 180^\circ}{\pi} = 60 ^\circ


Calling the rightmost dot [1] and counting counterclockwise, that's dot [4].


\dfrac{2\pi}{3}  \times \dfrac{ 180^\circ}{\pi} = \dfrac{2}{3} \times 180^\circ = 120^\circ


That's dot [6]


\dfrac{4\pi}{3} \times \dfrac{ 180^\circ}{\pi} = \dfrac{4}{3} \times 180^\circ = 240^\circ


That's dot [12]


\dfrac{5\pi}{3} \times \dfrac{ 180^\circ}{\pi} = \dfrac{5}{3} \times 180^\circ = 300^\circ


That's dot [14]





5 0
3 years ago
Read 2 more answers
Pleaeeeeeeeeeeeeeeeeeeeeeeeeeeee
LekaFEV [45]
4.) 2(x-1)+3= 2x+1

Distribute the 2, multiply the 2 by x and -1.

2*x= 2x (all you need to do is put 2 in front of x)

2*-1= -2

2x-2+3= 2x+1

Combine like terms. 

2x+1=2x+1

Subtract one on both sides. 

2x=2x

Divide by 2 into both sides. 

x=1

We can check this by plugging it in. 

2(1-1)+3= 2(1)+1
2(0)+3= 2+1
0+3=3
3=3 <== this works

I hope this helps!
~kaikers

4 0
3 years ago
A rectangular picture frame has perimeter of 58 inches. The height of the frame is 18 inches. What is the width of the frame?
Stells [14]

Answer:

11 inches

Step-by-step explanation:

A rectangle's perimeter can be found using:

p=2l+2w

We know that the perimeter, p, is 58, and the length/height is 18. Therefore, we can substitute those values in

58=2(18)+2w

Multiply 2 and 18

58=36+2w

Since we want to find the width, we need to get w by itself. First, subtract 26 from both sides

58-36=36-36+2w

22=2w

Since w is being multiplied by 2, divide both sides by 2. This will cancel out the 2, and leave w by itself.

22/2=2w/2

11=w

So, the width is 11 inches

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3 years ago
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the first ones -35

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