A railroad track follows a straight path from station A to station B. What is the distance traveled by the railroad track from station A to station B before completing its journey until station C? Distance travelled from station A to station C is 3x+4 and from station B to C is 6x-4.

Answer:

A. The initial value of the graph is 200. The graph increases by a factor of 1.05 per 1 unit increase in time.

Hope this helps!

Step-by-step explanation:

The initial value of the graph is 200. The graph increases by a factor of 1.05 per 1 unit increase in time the graph of the exponential function relate to time and money.

Given that,

Leticia invests $200 at 5% interest.

If y represents the amount of money after x time periods.

We have to determine,

Which describes the graph of the exponential function relating time and money?

According to the question,

The graph represents the exponential function relating time and money.

Where y represents the amount of money after x time periods.

After 1 period the amount of money is,

[tex]\rm f(x) = 200 + 200\left(\dfrac{5}{100}\right)\\\\f(x) = 200(1+0.5)\\\\f(x)= 200(1.5)\\\\[/tex]

After 2 periods the amount is,

[tex]\rm f(x) = 200(1.5) \times (1.5)\\\\f(x) = 200. (1.5)^2[/tex]

After 3 periods the amount is,

[tex]\rm f(x) = 200(1.5)^2 \times (1.5)\\\\f(x) = 200. (1.5)^3[/tex]

Therefore,

The amount after x period is,

[tex]\rm f(x) = 200(1.5)^x[/tex]

The initial value is when x = 0,

[tex]\rm y = 200 (1.05)^0 \\\\y = 200\times 1\\\\y = 200[/tex]

And the increasing factor is 1.05 because any value is the previous one times 1.05.

Hence, The initial value of the graph is 200. The graph increases by a factor of 1.05 per 1 unit increase in time the graph of the exponential function relate to time and money.

For more details refer to the link given below.

https://brainly.com/question/17407467

Answer:

B. Perpendicular rays

Step-by-step explanation:

Definition Perpendicular: Perpendicular lines, rays, or segments intersect at right angles. If lines, rays, or segments are perpendicular, then they are right angles. If lines, rays, or segments intersect. at right angles, then they are. perpendicular.

Hope this Helps

The rays that intersect at a right angle are perpendicular rays option (B) is correct.

Lines that intersect at a right angle are named perpendicular lines. Lines that are always the same distance apart from each other are known as parallel lines.

As we know,

From the definition, the perpendicular lines are the lines that intersect at right-angle or 90 degrees.

Two rays that intersect at a right angle are perpendicular rays.

Thus, the rays that intersect at a right angle are perpendicular rays option (B) is correct.

Learn more about the perpendicular line here:

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The numbers that multiply to give 10 are -

2 x 5

5 x 2

2.5 x 4

Given is two multiply two numbers to give 10.

The numbers that multiply to give 10, we get -

2 x 5 = 10

5 x 2 = 10

2.5 x 4 = 10

Therefore, the numbers that multiply to give 10 are -

2 x 5

5 x 2

2.5 x 4

To solve more questions on multiplication, visit the link below -

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{Question in english is given below -

Multiplied numbers that give 10}

Answer:

154cm^2

Step-by-step explanation:

Area of circle= pi×r^2

= 22/7 × (7cm)^2

= 22/7 × 49cm^2

= 154cm^2

Answer:

-9 < -1

21/5 < 17/4

Answer:

-9 < -1

21/5 < 17/4

Step-by-step explanation:

A) when a number isnegitv ethe "smaller" number has more value. You would rather loose one doller than 9, right?

B) 21/5 = 4.20

17/4 = 4.25

and .25 os bigger than .20

Answer:

x = 5

Step-by-step explanation:

Step 1:

2 (5x + 2) = 54

Step 2:

10x + 4 = 54

Step 3:

10x = 50

Answer:

x = 5

Hope This Helps :)

Answer:

x = 5

Step-by-step explanation:

2(5x+2)=54 (distribute)

10x+4=54 (subtract the 4 on both sides)

     -4   -4

10x = 50 (divide 10 on both sides)

10      10

x = 5

Answer:

k≥-8

Step-by-step explanation:

Answer:52

Step-by-step explanation

Answer:

Hey!

Your answer is 52

Step-by-step explanation:

5 x 10 = 50

24 ÷ 12 = 2

Because they are in the same brackets, you do the calculations simultaneously!

50 + 2 = 52

HOPE THIS HELPS!

Answer:

B. Segments

Step-by-step explanation:

"...divide (something) into separate parts or sections."

Definition of Segment

Hope it helps! :3

Answer: it would have been segment or planes Im not 100% sure

Answer:

12/25

Step-by-step explanation:

0.48 is read as "forty-eight hundredths," so we can write it as a fraction as

48/100.

Since both 48 and 100 have a common factor, we can reduce the fraction.

48 and 100 are both divisible by 4.

48/100 = 12/25

There are no common factors of 12 and 25, so 12/25 is the answer.

Answer:

12/25

Step-by-step explanation:

48/100 Divide by 2

24/50 Divide by 2 again

12/25 Can not be further simplified.

I hoped this helped you

Answer:

7

Step-by-step explanation:

You divide the number of visits and the price. 14÷2=7

Answer:

she paid $125 while he paid $85

Step-by-step explanation:

Answer:

You would DIVIDE to solve this problem.

each runner will

get 1/6 gallon of apple juice

Step-by-step explanation:

Answer:

-1.5

Step-by-step explanation:easy

Answer:

$65

Step-by-step explanation:

169 ÷ 13 = 13

13 × 5 = 65

Answer:

Hey there!

t=5d.

This means that for every hour she walks, she will walk five miles.

Let me know if this helps :)

Answer:

52.5

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

12p=5d

1p=5/12

10p=4.1666

≈4 days

Answer:

C. {(–1, 3), (0, 4), (1, 14), (5, 6), (7, 2)}

Step-by-step explanation:

I just did the quiz. Basically all you do is switch the x and y values for each coordinate pair in order to see if it would pass the line test. If it has double X values, it is not a function with an inverse function.

Answer:

B

Step-by-step explanation:

4x²/2 √x^4/4x²

2x²√x²/4  ( equal to C)

4x²/2(x²/2x)

2x²(x²/2x)=

2x^4/2x =x³ ( equal to A) or √x^6 ( equal to D) also E x²√x²=x^3

Given :

A boat is being pulled into a dock with a rope attached to the boat at water level. When the boat is 12 feet from the dock, the length of the rope form the boat to the dock is 3 feet longer than twice the height of the dock above the water.

To Find :

The height of the dock.

Solution :

This will make a right angle triangle as given in link below .

Now , applying Pythagoras theorem :

[tex](2h+3)^2=h^2+12^2\\\\4h^2+9h+9=h^2+144\\\\h^2+4h-45=0\\\\(h-5)(h+9)=0[/tex]

Now , h = 5 or h = -9 .

Now , height cannot be negative .

So , height of the dock is 5 ft .

Hence , this is the required solution .

Answer:

6

Step-by-step explanation:

Absolute value is the distance from 0, 6 is 6 units from 0

Polynomial equation solver

5x - 5 = 5

Standard form:

5x − 10 = 0

Factorization:

5(x − 2) = 0

Solutions:

x = 10

5

= 2

Answer:

d= 5√5

Step-by-step explanation:

[tex]d =:\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\\(-7,3)=(x_1,y_1)\\(4,5)=(x_2,y_2)\\\\d = \sqrt{(4-(-7))^2+(5-3)^2}\\\\d = \sqrt{(4+7)^2+(5-3)^2}\\\\d = \sqrt{(11)^2+(2)^2}\\\\d = \sqrt{121+4}\\\\d = \sqrt{125}\\\\d =5 \sqrt{5}[/tex]

Answer:

7.1 km or 7.1 kilometer

Step-by-step explanation:

Esta pregunta se resuelve mediante la conversión de unidades SI. Nuestra respuesta final será en kilómetros, por lo tanto, estamos convirtiendo todos los valores dados a kilómetros.

De la pregunta, tenemos la siguiente información:

Altura de vuelo actual del avión = 14.800 metros

1 metro = 0.001 kilómetro

14,800 metros =

14,800 × 0.001

= 14.8 kilómetros

Avión que descendió primero = 23.000 decímetros

1 decímetro = 0.0001 kilómetro

23,000 decímetros =

23,000 × 0.0001 kilómetro

= 2.3 kilómetros

Descendió la segunda vez = 54 hectómetros más

1 hectómetro = 0.1 kilómetro

54 hectómetros =

54 × 0.1 kilómetro

= 5.4 kilómetros

Por lo tanto, la altura en kilómetros que vuela el avión ahora se calcula como

14.8 km - 2.3 km - 5.4 km

= 14.8 km - (2.3 km + 5.4 km)

= 14.8 kilometros - 7.7 kilometros

= 7.1 kilometros

Por lo tanto, el avión vuela actualmente a 7.1 km o 7.1 kilómetros.

Answer:

the answer is 75/100 simplify into 3/4

Step-by-step explanation:

the answer is seventy five out of a hundred then simplify getting your answer as 3/4

Answer:

D

Step-by-step explanation:

When y = 0 then we are on the x- axis thus x = - 2 and x = 3 are zeros

The corresponding factors are (x + 2) and (x - 3)

The corresponding equation is the product of the factors, that is

y = (x + 2)(x - 3) ← expand using FOIL

y = x² - x - 6 → D

Answer:

1. whole number 2. rational number 3. integer

Step-by-step explanation:

Answer:

6 = natural and whole

1/64 = rational

-2 = integer

Step-by-step explanation:

Answer:

4

Step-by-step explanation: