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satela [25.4K]
3 years ago
12

In 2000 South Dakota had a population of 754,844. The number of people in South Dakota increased by 7.9% in 2010. What is South

Dakota's approximate population in 2010?
Mathematics
1 answer:
Novay_Z [31]3 years ago
6 0

814,180. Hope I helped. If i didn't I am sos sorry. I would take 7.9 or .079 to 754,844 to get your number.

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A linear function has an x-intercept of 12 and a slope of 3/8. How does this
Alekssandra [29.7K]

Answer:

O It has the same slope and a different y-intercept.

Step-by-step explanation:

y = mx + b

m = 3/8

b = 12

y = (3/8)x + 12

---

Data in the table:  slope is the rise (y) over the run (x) between two points (assuming the data represent a linear line).

 Change in x and y between two points.  I'll choose (-2/3,-3/4) and (1/3,-3/8).

Change in y:  (-3/8 - (-3/4)) = (-3/8 - (-6/8))  =  3/8

Change in x:  (1/3 - (-2/3)) = (1/3+2/3) = 3/3 = 1

Slope = (Change in y)/(Change in x) = (3/8)/1 = 3/8

The slope of the equation is the same as the data in the table.

Now let's determine if the y-intercept is also the same (12).  The equation for the data table is y = (2/3)x + b, and we want to find b.  Enter any of the data points for x and y and then solve for b.  I'll use (-2/3, -3/4)

y = (3/8)x + b

Use (-2/3, -3/4)

-3/4 =- (3/8)(-2/3) + b

-3/4 = (-6/24) + b

b = -(3/4) + (6/24)

b = -(9/12) + (3/12)

b = -(6/12)

b = -(1/2)

The equation of the line formed by the data table is y = (3/8)x -(1/2)

Therefore, It has the same slope and a different y-intercept.

5 0
2 years ago
Transparency and worksheet master lesson 4.2 page 166
arlik [135]
Http://mrdealy.weebly.com/uploads/2/3/5/2/23520438/geom._ch._3_angle_diagrams__3.8_worksheet.pdf
3 0
3 years ago
Identify the augmented matrix that represents this liner system <br> 2x-3y=4 <br> 5x+7y=39
Lisa [10]

Answer:

its c edg 2020

Step-by-step explanation:

7 0
2 years ago
Ben is 4 times old as ishaan. 6 years ago, Ben was 6 times as old as ishaan <br> How old is Ben now?
SpyIntel [72]

Answer:

60years

Step-by-step explanation:

let Ben age = x

ishaan age = y

Ben is 4 times old as ishaan:

x=4y ..........equation (1)

6 years ago

Ben age = x-6

Ishaan age = y-6

x-6=6(y-6)

x-6=6y-36

x=6y-36+6

x=6y-30..........equation (2)

equating equation(1) and (2)

4y=6y-30

4y-6y=-30

-2y=-30

y=-30/-2=15

substituting the value of y into equation (1)

x=4y

=4*15

=60

Ben age now =60years

7 0
3 years ago
Please Help ASAP (show work if you want its not needed i just need the answer)
cricket20 [7]

\cos(60)  =  \frac{12}{x}  \\

\frac{1}{2}  =  \frac{12}{x}  \\

x = 24

_____________________________________________

\sin(60)  =  \frac{y}{x}  \\

\frac{ \sqrt{3} }{2}  =  \frac{y}{24}  \\

y = 12 \sqrt{3}

4 0
2 years ago
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