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2 years ago

What is the location of the point on the number line that is 3/7 of the way from A=6 to B=20?

Mathematics

1 answer:

-Dominant- [34]2 years ago

7 0

Answer:

Step-by-step explanation:

20-6=14 (Distance between points) then 14*3/7=6.

3/7 of the distance from A=6 to B=20 is 6. Thus, we find the point that is

3/7 of the distance from A=6 to B=20 by adding 6 to 6.

6+6= 12

Therefore, the point that is

3/7 from A=6 to B=20 is 12.

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Use the model below to estimate the average annual growth rate of a certain country's population for 1950, 1988, and 2010, where

Morgarella [4.7K]

Answer:

The average annual growth rate of a certain country's population for 1950, 1988, and 2010 are 2.398, 0.9985 and 0.2236 respectively.

Step-by-step explanation:

The given equation is

$Y=-0.0000084x^3+0.00211x^2-0.205x+8.423$

Where Y is the annual growth rate of a certain country's population and x is the number of years after 1900.

Difference between 1950 and 1900 is 50.

Put x=50 in the given equation.

$Y=-0.0000084(50)^3+0.00211(50)^2-0.205(50)+8.423$

$Y=2.398$

Therefore the estimated average annual growth rate of the country's population for 1950 is 2.398.

Difference between 1988 and 1900 is 88.

Put x=88 in the given equation.

$Y=-0.0000084(88)^3+0.00211(88)^2-0.205(88)+8.423$

$Y=0.9984752\approx 0.9985$

Therefore the estimated average annual growth rate of the country's population for 1988 is 0.9985.

Difference between 2010 and 1900 is 110.

Put x=110 in the given equation.

$Y=-0.0000084(110)^3+0.00211(110)^2-0.205(110)+8.423$

$Y=0.2236$

Therefore the estimated average annual growth rate of the country's population for 2010 is 0.2236.

8 0

3 years ago

How much wrappping paper do you need to cover a box that is 18 inches by 15 inches by 3 inches

s344n2d4d5 [400]

Answer:

Step-by-step explanation:

So to do this, you would find the surface area of a box. Since it is a rectangular prism, two sides will always have the same area and so there are 3 different areas. 18*15*2 = 540 and 18*3*2 = 108 and 3*15*2 = 90 and 90 + 108 + 540 = 738 inches

6 0

3 years ago

Abigail is 54 inches tall. Which of the following is Abigail's height?

4vir4ik [10]

Answer:

If you wanted it to be converted to ft, then her height would be: 4 ft , 5 inches

~hope this has helped you out, have a gr8 day!~

Step-by-step explanation:

3 0

3 years ago

What is the slope between the points (5,-4) and (-3,4) <br> -1<br> 4<br> 0<br> 1

kumpel [21]

Answer:

The answer is -1.

Step-by-step explanation:

You have to apply gradient formula :

$m = \frac{y2 - y1}{x2 - x1}$

So you will have to substitute the coordinates into the equation. Let (x1,y1) be (-3,4) and (x2,y2) be (5,-4) :

$m = \frac{ - 4 - 4}{5 - ( - 3)}$

$m = \frac{ - 8}{8}$

$m = - 1$

6 0

3 years ago

14. The equation having 4 as a root is :

White raven [17]

I think it’s 2x + 1 = -7

3 0

3 years ago