The map shows rail connections between major American cities.



What is the best conclusion that can be drawn from this map?

Most U.S. railroad traffic starts in Houston.
Atlanta is the railroad hub of the South.
Charlotte’s central location makes it a Southern city of the future.
Railroad traffic between Georgia and Florida is in decline.

Answer:

2x+1+4x-19=180, 6x-18=180, 6x=198, x=33

Answer:

Step-by-step explanation:

there are 6 sides on a cube

surface area = 6 times the area of one face of the cube

                     = 6 times ( a side times another side)      note all sides are equal

                     = 6(side)²         is a side equal to 2/3 ??   if it is ....

                     = 6(2/3)²

                     = 6(2/3)(2/3)     one of the 3s divide into 6 twice

                     = 2(2)(2/3)

                     = 2³ / 3

                     = 2x2x2 / 3

                     = 8 /3

                     = 2 and 2/3  units²

Answer:

3.0 inches

Step-by-step explanation:

The formula for the volume of a sphere is

V = 4/3 × π × r³

V = 113.04 cubic inches

To find r

r = (3V/4π)⅓

r = (3 × 113.04/4 × π )⅓

r = 3.0 inches

The radius of one flask = 3.0 inches

Option A is correct

Answer:

Step-by-step explanation:

Since each angle is different it is scalene. Since all angles are less than 90 degrees it is acute.

So this is a Scalene Acute triangle.

Answer: Scalene Acute

Step-by-step explanation:

An acute triangle has all three angles less than 90 and a scalene triangle has no equal sides.

Answer (predicted):

About 0.221

9514 1404 393

Answer:

  (c) 5.4°

Step-by-step explanation:

We can simply determine the difference between the angles of the vectors:

  arctan(8/-5) -arctan(8/-4) = 122.005° -116.565° = 5.440°

The angle between the vectors is about 5.4°.

__

Alternate solutions

1) We could also determine the angle of their ratio.

  u/v = (-5 +8i)/(-4 +8i) = (-5 +8i)(-4 -8i)/(4² +8²) = (84 +8i)/80 = 1.05 +0.1i

  angle = arctan(0.1/1.05) = 5.440°

__

2) Tan(a-b) = (tan(a)+tan(b))/(1 -tan(a)(tan(b))

  tan(∠u -∠v) = ((tan(∠u) -tan(∠v))/(1 +tan(∠u)tan(∠v))

  = (-1.6 -(-2))/(1 +(-1.6)(-2)) = 0.4/4.2

  ∠u -∠v = arctan(2/21) = 5.440°

Answer:

$108

Step-by-step explanation:

The computation of the total profit is shown below:

Given that

1 box = $12

18 boxes = 12×18 = $216

So

Total = 18×65 = 1170 pens

Now Cost price, Cp = $216

Also,

3 = $1

So,

= 378 ÷ 3

= $126

Now

= 1170-378

= 792 pens remaining

4 = $1

So,

792

= 792 ÷ 4

= $198

Now

Total selling price, sp = 126+198 = $324

So finally

Profit = Sp - Cp

= $324 - $216

= $108

this is the answer y=19x-10

Answer:

AREA=PI*6*6 THUS THE RADIUS IS 6 CM. C=37.68 CM.

Step-by-step explanation:

Answer:

1 6/8 cups of flour

Step-by-step explanation:

Just subtract 2 1/8 from 3 7/8

Answer:

1344

Step-by-step explanation:

100cm = 1 m

Convert the dimensions of the floor to cm = Area of a rectangle = length x breadth =  320 x 280 = 89,600m²

Area of a square = length² = 10cm² = 100cm²

Number of tiles that would be needed = area of floor / area of square

89,600cm² / 100cm² = 896

Cost of one tile = rs 150 / 100 = 1.5

Cost of 896 tiles = 1.5 x 896 = 1344

Answer:

11 inches

Step-by-step explanation:

Volume of a box is:

[tex]l * w * h[/tex]

[tex]8 * 3 * h = 264\\\\24*h=264\\\\\frac{24*h=264}{24} \\\\\boxed{h=11}[/tex]

The height is 11 inches.

Hope this helps.

Volume of the box = LWH.

Let V = 264

264 = (8)(3)(H)

264 = 24H

264 ÷ 24 = H

11 = H

The height of the box is 11 inches.

Answer:

13x^2+2x+5

Step-by-step explanation:

that is the right answer

You have to combine the like terms.

Answer:

[tex]40x^{4}[/tex] - [tex]9x^{3}[/tex] + [tex]46x^{2}[/tex] + 6x + 16

Step-by-step explanation:

Answer:

x₂ = - 3

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to [tex]\frac{5}{6}[/tex]

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (9, 9) and (x₂, y₂ ) = (x₂, - 1)

m = [tex]\frac{-1-9}{x_{2}-9 }[/tex] , that is

[tex]\frac{-10}{x_{2}-9 }[/tex] = [tex]\frac{5}{6}[/tex] ( cross- multiply )

5(x₂ - 9) = - 60 ( divide both sides by 5 )

x₂ - 9 = - 12 ( add 9 to both sides )

x₂ = - 3

Answer:

14.8%

Step-by-step explanation:

Given data

Initial income=47

Final income=40

The change= 47-40

=7

Hence the percent increase is

% increase= Change/ initial*100

% increase= 7/47*100

% increase=0.148*100

% increase=14.8%

Answer:

Function 1:

We have 3x + 5, so we plug in 3 for x to get 9 + 5 = [tex]\boxed{14}[/tex]

Function 2:

We have [tex]\frac{1}{2}x^{2} - 1.5[/tex] so we have 4.5 - 1.5 = [tex]\boxed{3}[/tex]

Function 3:

We have [tex]\frac{3}{2x}[/tex] which becomes [tex]\frac{3}{6} = \boxed{\frac{1}{2}}[/tex].

Answer:

false

Step-by-step explanation:

The value of |−37| is 37

however, since the negative sign is in front of the absolute value,

−|−37| = -37

Therefore,

−|−37| does not equal 37

The given statement −|−37| = 37 is false.

Given that, −|−37| = 37.

We need to whether the given statement is true or false.

The absolute value of a variable x is represented by |x| which is pronounced as 'Mod x' or 'Modulus of x'. 'Modulus' is a Latin word, which means 'measure'. Absolute value is commonly referred to as numeric value or magnitude. The absolute value represents only the numeric value and does not include the sign of the numeric value. The modulus of any vector quantity is always taken as positive and is its absolute value.

Now, |−37|=37

So, -|−37|=-37

Therefore, the given statement is false.

To learn more about an absolute value visit:

https://brainly.com/question/1301718.

#SPJ2

Answer:

62/100= 31/50

45/100= 9/20

Step-by-step explanation:

Divide 62 and 100 by two to simplify

Divide 45 and 100 by 5 to simplify

Answer:

62/100 = 31/50

45/100 = 9/20

Step-by-step explanation:

62 and 100 have a greatest common factor of 2. We can use this to break the fraction 62/100 apart:

[tex]\dfrac{62}{100}=\dfrac{2\times31}{2\times50}=\dfrac{2}{2}\times\dfrac{31}{50}=\dfrac{31}{50}[/tex]

We can do the same to simplify 45/100. The greatest common factor of 45 and 100 is 5, so following the same process:

[tex]\dfrac{45}{100}=\dfrac{5\times9}{5\times20}=\dfrac{5}{5}\times\dfrac{9}{20}=\dfrac{9}{20}[/tex]

Answer:

A

Step-by-step explanation:

The root 5's cancel each other out.

4x-2x = 2x

Therefore

2x/3 is the final answer

Answer:

c i think soory if wrong

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

Hey There!

So if you didn't know angle H is a right angle. So we are given two angles and they want us to find the missing angle

Remember all of the angles of a triangle add up to equal 180

so we subtract the given angles from 180 to find the missing angle

180-90-68=22

so we can conclude that angle G = 22

Answer:

Im not sure Im sorry Im just trying to get points but I will send to a friend to help

Step-by-step explanation:

Answer:

14.93°

Step-by-step explanation:

Using trigonometry :

From the diagram attached :

Angle of elevation = x

To obtain the value of x

Tan x = opposite / Adjacent

Tan x = 8 / 30

Tan x = 0.266666

x = tan^-1(0.26666)

x = 14.93°

Therefore, the angle of elevation is 14.93°

Answer:

(16×16) +(32×8)

256+256

512m²

Answer:

-11 and -7

Step-by-step explanation:

Answer:

-11 and -7

Step-by-step explanation:

-11 + (-7) = -18

-11 x -7 = 77