Solve the following system of equations graphically on the set of axes below.
y = 2x – 1
x + 3y = 18

The intensity of soundwave at a distance of 12 miles is 222.22 miles.

The link between two variables whose ratio is equal to a constant number is known as a direct proportional, while the multiplication of two variables whose ratio is equal to a constant number is known as an inversely proportional.

It is given that the intensity of a radio signal from the radio station varies inversely as the square of the distance from the station. therefore, the relation between the intensity of the radio wave(I) and distance(r) can be written as,

[tex]I\propto \dfrac{1}{r^2}\\\\\\I=k \dfrac{1}{r^2}[/tex]

Now, it is stated that the intensity of the radio wave at a distance of 2 miles is 8000 units, therefore, substituting the value in the above equation to get the value of the constant,

[tex]I=k\dfrac{1}{r^2}\\\\8000=k\dfrac{1}{2^2}\\\\8000=k\dfrac{1}{4}\\\\k = 8000 \times 4 = 32,000\rm\ units[/tex]

Thus, the value of the constant k is 32,000 units, and the equation of the intensity of the radio signal can be written as,

[tex]I=\dfrac{32,000 }{r^2}[/tex]

Further, the intensity of soundwave at a distance of 12 miles will be equal to,

[tex]I=\dfrac{32,000 }{r^2}\\\\I=\dfrac{32,000 }{12^2}\\\\I=\dfrac{32,000 }{144}\\\\I = 222.22\rm\ units[/tex]

Hence, the intensity of soundwave at a distance of 12 miles is 222.22 miles.

Learn more about Inversely proportional:

https://brainly.com/question/2548537

Answer:

x ≥ 21

Hope it helps!

Answer:

that is corret

Step-by-step explanation:

it sound goos

Answer:

3 and -14

Step-by-step explanation:

Find the factors of -42 and add them to see what they give:

1 × -42 = 42, -41

2 × -21 = 42, -19

3 × -14 = 42, -11

6 × -7 = 42, -1

The second to last is right so the numbers are 3 and -14

Answer:

x=2.

Step-by-step explanation:

1) if the given points are (-3;5) and (7;5), then the required axis of symmetry is vertical. Then

2) the required axis intersects the section between (-3;5) and (7;5) in its midpoint;

3) the coordinates of the midpoint above are (2;5), then the required axis is:

x=2.

Answer:

Area of Circle = π[tex]r^{2}[/tex]

Step-by-step explanation:

Diameter = 40 in ....... (given)

Radis = 1/2.40 = 20 in

Area of Circle = π[tex]r^{2}[/tex]

= 22/7.[tex]20^{2}[/tex]

= 1 257,14 inches squared

Answer:

Pretty sure its 540

Step-by-step explanation:

Answer:

Step-by-step explanation:

No. of 25 cent coins = 34

No. of 10 cent coins = 85

No. of 5 cent coins= 72

No. of 1 cent coins = 9

Total sum of coins = 200

Percentage of 25 cent coins = (34/200)*100

= 17 %

Answer:

Step-by-step explanation:

Calculation

Divide your interest rate by the number of payments you'll make that year. ...

Multiply that number by your remaining loan balance to find out how much you'll pay in interest that month. ...

Subtract that interest from your fixed monthly payment to see how much in principal you will pay in the first month.

Answer:

30

Step-by-step explanation:

We know that the very bottom side is 2 because 6-4 is 2. Then add up all the sides which equals 30

Answer:

The age of Jamal is 8 years.

And the age of his father is 32 years.

Step-by-step explanation:

=> let the age of Jamal be x and his father's age be y

=> so , A.T.Q ,

x+y = 40....i)

Find the value of y from here , that's y = 40-x .....

Now, After 4 years ,

=> 3(x+4) = (y+4)

=> 3x+12 = y+4

=> 3x+8 = y ...ii)

putting the value of y in equation ii)

=> 3x+8 = 40-x

=> 3x+x = 40-8

=> 4x = 32

=> x = 8

now ,

=> y = 40-x

=> y = 40-8

=> 32

Answer:

C. 112 cubic inches

Step-by-step explanation:

Two solve this weird-looking house problem, first let's see what it is made of.

Split the area into two volumes.

V = 1/3lwh is the volume for a triangular prism and V = lwh is the volume for a rectangular prism.

Let's now solve for the triangular prism.

The length and width are the same as that of the cube. The cube's length and width is 4 in.

V = 1/3(4)(4)(6) = 32 cubic inches

Now Solve for the cube.

V = lwh = 4(4)(5) = 80 cubic inches

Total Volume = 80 + 32 = 112 cubic inches

Answer:

  2, 3, 5 are true statements

Step-by-step explanation:

A diagram of the geometry is helpful. Our understanding of your description is shown in the first attachment. The second attachment shows how the various angles relate to each other. An exterior angle and its adjacent interior angle are a linear pair, so are supplementary.

__

1. BEC is an exterior angle -- False, it is an interior angle

2. DEC is an exterior angle -- True

3. ABE and EBC are supplementary -- True, they are a linear pair

4. BCF and DEC are supplementary -- False, they are unrelated exterior angles

5. BEC is a remote interior angle to BCF -- True

Answer:

Step-by-step explanation:

2,3,5

Answer:

3 times as great

Step-by-step explanation:

The most amount of water is 3/4 full

The least amount of water 1/4 full

To get from 1/4 to 3/4, you multiply by 3:

[tex]\frac{1}{4} * \frac{3}{1} = \frac{3}{4}[/tex]

(I made 3 into 3/1 to show how you multiply across easier)

Answer: 4

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

2.5 is 1 so 2.5 times 10 equals 25

\

Answer:

  4444444444444444444

Step-by-step explanation:

BELIEVE ME ON THIS ONE

Answer:

-(x-y)^2 because both x have a power to the two and i'm gonna bet that it's asking for a negative so there you go!

Answer:

Step-by-step explanation:

[tex]244^{2}-156^{2}=(200+44)^{2}-(200-44)^{2}[/tex]

[tex]=\left(200^{2}+2 \times 200 \times 44+44^{2}\right)-\left(200^{2}-2 \times 200 \times 44+44^{2}\right)[/tex]

[tex]=200^{2}+2 \times 200 \times 44+44^{2}-200^{2}+2 \times 200 \times 44-44^{2}[/tex]

[tex]=4 \times 200 \times 44[/tex]

[tex]=35200[/tex]

Answer:

244^2-156^2 hi this is in the form p^2-q^2=(p+q)(p-q) now, (244+156)(244-156) =(400)(88)=35,200answer.

Answer:

ACROSS

1. LINE

6. LINE SEGMENT

8. OBTUSE ANGLE

11. RIGHT ANGLE

12. DOT

DOWN

2. ACUTE ANGLE

3. PLAIN

4. PROTECTOR

5. VERTEX

6. STRAIGHT LINE

7. PLANE

9. STRAIGHT ANGLE

10. ANGLE

Step-by-step explanation:

Answer:

39 cm ²

Step-by-step explanation:

Answer:

Ans = 0.75

Explanation:

Let's use m.

m = 6 / 8 = 3 / 4 = 0.75

Answer:

Slope is 3/4

Step-by-step explanation:

Each point given is an x and a y, like this (x, y)

For the top number (numerator) of your answer, subtract the y's from both points.

On top: 9 - 3

On the bottom (denominator) subtract the x's.

Below: 5 - -3

So slope is:

9-3 / 5 - -3

6/8

Simplify

6/8

= 3/4

The slope is 3/4.

The main advantage with boxplots (aka box and whisker plots) is that we can spot the five number summary very quickly. The five number summary consists of these items:

The min and max are the left-most and right-most tips of the whiskers, assuming there aren't any outliers. They are the smallest and largest items.

The left and right edges of the box represent Q1 and Q3 in that order. The vertical line inside the box is the median. The vertical line does not have to be at the exact center of the box.

Answer:

11 graders are Juniors in High School

Step-by-step explanation:

Secondary or high schools enroll students in the upper grades, generally 9-12 with variations.

Pls, choose me as brainliest!

Answer:

$405

Step-by-step explanation:

3.75-1.50=2.25

2.25 x 600 = 1350

30 % of 1350 is 405 so it would equal $405

Answer:

5

Step-by-step explanation:

20×2÷8

hope it helps you

Answer:

Therefore, he should buy 6 orders of the 10-burrito special.

Step-by-step explanation:

12 x 6 = 72

7.50 x 10 = 75

Answer:

x = 38 , y = 19

Step-by-step explanation:

using the tangent ratio in the right triangle and the exact valu

tan30° = [tex]\frac{1}{\sqrt{3} }[/tex] , then

tan30° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{y}{19\sqrt{3} }[/tex] = [tex]\frac{1}{\sqrt{3} }[/tex] ( cross- multiply )

[tex]\sqrt{3}[/tex] × y = 19[tex]\sqrt{3}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )

y = 19

--------------------------------------------------

using the cosine ratio in the right triangle and the exact value

cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , then

cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{19\sqrt{3} }{x}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

[tex]\sqrt{3}[/tex] × x = 38[tex]\sqrt{3}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )

x = 38