Is the following table proportional or non-proportional?

Answer:

The value of I for d = 10 will be 1.2 watts/m^3

Step-by-step explanation:

Let I be the intensity of sound and d be the distance

According to given statement, "The intensity of the sound, I watts/m², received from a loudspeaker is  inversely proportional to the square of the distance, d meters, from the  loudspeaker. "

[tex]I \propto \frac{1}{d^2}[/tex]

Removing the proportionality symbol

[tex]I = \frac{k}{d^2}[/tex]

Putting d = 2 and I = 30

[tex]30 = \frac{k}{(2)^2}\\30 = \frac{k}{4}\\k = 30*4\\k = 120[/tex]

Putting the value of k in the equation

[tex]I = \frac{120}{d^2}[/tex]

Putting d = 10

[tex]I = \frac{120}{(10)^2}\\I = \frac{120}{100}\\I = 1.2[/tex]

Hence,

The value of I for d = 10 will be 1.2 watts/m^3

Answer:

-1 ≤ x

Step-by-step explanation:

You just need to divide -3 on both sides.

-1 ≤ x

Note that since you are dividing by a negative number, the sign flips.

-1 ≤ x

Step-by-step explanation:

First start with the equation:

3 ≥ -3x

divide by -3 to get x positive and singular:

-1 ≥ x

and since we divided by a negative we need to flip the sign:

-1 ≤ x  would be your answer

hope this helped :)

Answer:

1.8ft/s

Step-by-step explanation:

Using the formula for calculating Speed as shown:

Speed = Distance/Time

Time = Distance/Speed

t = d/s

Given

d1 = 25 foot

s1 = 3ft/s

d2 = 15ft

Required

s2

Using the formula;

d1/s1 = d2/s2

s2 = s1d2/d1

s2 = 3*15/25

s2 = 45/25

s2 = 1.8ft/s

Hence the rate of change between the bottom of the ladder and the wall is 1.8ft/s

Answer:

7

Step-by-step explanation:

Answer:

Naruto usamaki is the greatest hokagey in the leaf village

Step-by-step explanation:

I took the test on edge

Answer: Critical Thinking.

Step-by-step explanation:

Critical thinking is the process of conceptualizing, applying, analyzing, synthesizing, and/or reviewing data acquired from, or generated by, observation, experience, reflection, reasoning, or communication actively and skillfully as a guide to intellectually disciplined belief and action.

Answer:

drag the protactor so that the the bottom, middle line is centered in point B, and the bottom edge is flat against line BC

the angle will be whatever number AB lines up with on the outer ring (the big numbers)

Step-by-step explanation:

Answer:

Closer to 1\2

Step-by-step explanation:

half of 18 is 9 and if you add 1 to 8 you get 9 so 8\18 is closer to 1\2

Hope it helps!

Answer:

degree- 1

name- binomial i think

A)11

B)0.1875

Step-by-step explanation:

2x+7=15

2x+7-7=15+7

2x=22

2x/2=22/2

3.4x+8=-12

3/4x+8-8=-12+8

3/4x=-4

3/4divided by 3/4=-4 divided by 3/4

x=0.1875

Answer:

57

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

n² - m

m = 7

n = 8

Step 2: Evaluate

Answer:

2/10

Step-by-step explanation:

Answer:

hmmm. i woud answer this question but i do not know how many ounces the bottles have? is this a real question or a joke,because i coud maybe help if you could be more specific.

Step-by-step explanation:

Answer:

1/4 cup of salt. .........

Answer: THE ANSWER IS 2 :)

Step-by-step explanation:

3(q+2)  Do distributive property

3q=6 Divide 3q to both side

3q = 3q

q= 2       This is the answer

Step-by-step explanation:

Option A best describes the diagram given above.

Answer:

[tex]y=-314x-1261[/tex]

Step-by-step explanation:

When we are writing an equation we have to put it in slope-intercept-form [tex]y=mx+b[/tex]. We already know the slope it's -314, we replace m with the slope. Now we have to find b which is the y-intercept. So what we have to do is plug in the ordered pair into the equation. -4 for x and -5 for y.

[tex]y=mx+b\\-5=-314(-4)+b[/tex]

Now we solve

[tex]-5=-314(-4)+b\\-5= 1256+b\\b=-1261[/tex]

So now that we know everything we need we plug in and....

[tex]y=mx+b\\y=-314x-1261[/tex]

we've got our equation!

Answer:

The line slants upward, so the slope is positive.

Answer:

a=7b=9c=4

Step-by-step explanation:

Answer:

1 = 7x=42 (divide both sides by 7)

7x/7 =42/7

x=6

2.=9y=81 (divide both sides by 9)

9y/9y= 81/9

y=9

3.= –40=8a (divide both sides by 8)

–40/8= 8a/8

a=5

4.=y divided 11=12

y=11 multiplied by 12

y= 132

5.= –15y=135( divide both sides by –15)

–15y/–15=135/–15

y= –9

6.= 17p=51(divide both sides by 17)

17p/17=51/17

p=3

7.= –65= –13w (divide both sides by 13)

–65/–13=–13w/–13

w=5

8.=y/–2=4

(cross multiply)

y/–2=4/1

4 multiplied by –2= –8

therefore:y= –8

Step-by-step explanation:

I HOPE THIS HELPED :)

Answer:

a) 7x=42

Step-by-step explanation

use the co-efficient of the unknown to divide both sides

7x=42

7x/7=42/7

x=6

9y=81

9y/9=81/9

y=9

-40=8a

is the same thing as

-8a=40

-8a/-8=40/-8

a=-5

y+11=12

y=12-11

y=1

-15y=135

-15y/-15=135/-15

y=9

17p=51

17p/17=51/17

p=3

-65=-13w

13w=65

13w/13=65/13

w=5

y/-2= 4

cross multiply y=-8

Answer:

D

Step-by-step explanation:

7 - z = 3 + z + 4 - 2z

7 - 3 - 4 = z - 2z + z

0 = 0 (Infinitely many solutions)

5(a + 4) - 15 = -5(a - 1)

5a + 20 - 15 = -5a + 5

5a + 5a = 5 - 20 + 15

10a = 40

10a/10 = 40

a = 4

(one solution)

-2d + 4d - 4 = 5 + 3(d - 3)

2d - 4 = 5 + 3d - 9

2d - 3d = 5 - 9 + 4

- d = 0

d = 0

(one solution)

-11(n - 2) + 8(n + 1) = -3(n + 10)

-11n + 22 + 8n + 8 = -3n - 30

-11n + 8n + 3n = -30 - 22 - 8

0 = -60

(no solutions)

Answer:

1 dollar

Step-by-step explanation:

Answer:

1 dollar

Step-by-step explanation:

Hope this helps!

Answer:

1225

Step-by-step explanation:

divide by 4 because a square has 4 sides

Answer:

x ≥ -64

Step-by-step explanation:

"3/4ths of a number is greater than or equal to -48"

3/4 of a number ≥ -48

Let's say the number is x.

(3/4)x ≥ -48

Multiply both sides by 4.

3x ≥ -192

Divide both sides by 3.

x ≥ -64

Answer:

y = (15/24)x + 6

Step-by-step explanation:

Answer:

Yeah the answer is 22

Step-by-step explanation:

Good job! :)

Answer:

[tex]y = \frac{5}{2}x + 8[/tex]

Step-by-step explanation:

(-2 , 3 ) ; (0 , 8)

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

          [tex]= \frac{8-3}{0-[-2]}\\\\=\frac{5}{0+2}\\\\=\frac{5}{2}[/tex]

   m = 5/2 ; (0 , 8)

Equation: y -y1 = m(x -x1)

               [tex]y - 8 =\frac{5}{2}(x - 0)\\\\y - 8 =\frac{5}{2}x\\y = \frac{5}{2}x + 8[/tex]