A team of storm enthusiasts collected data to show the relationship between the time between seeing lightning and then hearing thunder, and how far away you are from the lightning. The results are in the graph below.

What is the constant of proportionality expressed as miles per second?
Answer: The constant of proportionality is _____________miles per second.

A Team Of Storm Enthusiasts Collected Data To Show The Relationship Between The Time Between Seeing Lightning

Answers

Answer 1

Answer:

Proportionality constant = [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

From the graph attached,

Data set representing the relation between seeing lightning and the hearing thunder is,

{(15, 3), (25, 5), (35, 7), (45, 9)}

Since, Distance from lightening (d) ∝ Time between lightening and thunder (t)

d = kt

Here k = proportionality constant

k = [tex]\frac{d}{t}[/tex]

From the data set one point is (15, 3).

k = [tex]\frac{3}{15}[/tex]

k = [tex]\frac{1}{5}[/tex] miles per second

Therefore, proportionality constant is [tex]\frac{1}{5}[/tex] miles per second.


Related Questions

Elena mixes 5 cups of apple juice with 3 cups of sparkling water to make sparkling apple juice. For a party, she wants to make 35 cups of sparkling apple juice. How much of each ingredient should Elena use? Explain or show your reasoning.

Answers

Answer:

25 cups of apple juice and 10 sparkling water 

Step-by-step explanation:

There are 7 cups of sparkling juice in each batch, since 5 + 2 = 7. То make 35 cups Elena will need 5 batches since 5 x 7 = 25. 5 batches mean 25 cups of apple juice and 10 cups of sparkling water

(brainliest?)

You have 22 books in your library. Eight are romance novels, 4 are murder mysteries and the rest are science fiction. Only 15 books will fit on a book shelf. How many ways can you arrange the books?​

Answers

Answer:

The books can be arranged in 170,544 ways

Step-by-step explanation:

This is a combination question since we are arranging

We simply want to find the number of ways to select 15 books out of 22 for arrangement

Mathematically, that will be;

22 C 15 = 22!/(22-15)!15! = 170,544 ways

Jason is buying burgers and fries for his family. Each burger costs $6 and each order of fries costs $4. He has a total of $36 to spend.
**a. Write an equation that represents this situation using x to represent the number of burgers purchased and y to represent the number of fries purchased.

** b. If Jason bought 2 burgers, how many fries did he purchase in order to spend all of his money?

Answers

Answer:

a) $6x+$4y=36

b) 6 fries

Step-by-step explanation:

b)$6(2)=12

36-12=24

24/4=6 fries

The model below represents an equation.

2 long x tiles and 3 square 1 tiles = 3 long x tiles

Which represent like terms in the model of the equation?
2 long x tiles and 3 square 1 tiles
2 long x tiles and 3 long x tiles
3 long x tiles and 3 square 1 tiles
1 long x tile and 1 square 1 tile

Answers

Answer:

The answer is B

Step-by-step explanation:

If I got it right on edg, you'll get it right on edg, unless we are talking about two different questions--- which we are not. Same question, right answer.

Answer:

b

Step-by-step explanation:

bc i said

Find the slope of the line that passes through (7,10) and (2,2)​

Answers

Answer:

3/2

Step-by-step explanation:

The total length of a beach is 13.2 kilometers. If lifeguards are stationed every 0.6 kilometers, including one at the end of the beach, how many lifeguards will there be on the beach?

Answers

Answer:

22 including one at the end of the beach

Step-by-step explanation:

Total length of the beach = 13.2 kilometers

If lifeguards are stationed every 0.6 kilometers, INCLUDING one at the end of the beach

Number of lifeguards in the beach = Total length of the beach / distance interval of each lifeguards

= 13.2 kilometers / 0.6 kilometers

= 22

Number of lifeguards in the beach = 22 including one at the end of the beach

Pleaseeeee helpppp xxx

Answers

Here ya goooo
(-4,-2)

Answer:

(-4, -2)

Step-by-step explanation:

(x, y)

You plug in the number where x is, so that’s going to be -4.

You plug in the number where y is, so that’s going to be -2.

I hope this helps some!

What is the volume of a cylinder, in cubic cm, with a height of 8cm and a base diameter of 14cm? Round to the nearest tenths place

Answers

Answer:

=1232cm^3

Step-by-step explanation:

Volume of a cylinder=πr^2h

Where r=radius=diameter/2=14/2=7 cm

h=height=8 cm given

π=22/7

Volume of cylinder=πr^2h

=22/7x7x7x8=154x8=1232cm^3

Answer:

1231.5

Step-by-step explanation: the other answer is wrong this is right

BRAINLIEST IF CORRECT!
Which of the following statements contain a variable? Check all that apply.

A. The highest temperature over three days.
B. How much the car weighs.
C. The length of the track.
D. Five feet tall.

Answers

Answer:

D.

Step-by-step explanation:

find the exponential function that satisfies the given conditions:
-initial value: 56
-decreasing at a rate of 0.42% per week

Multiple choice: possible answers ⬇️​

Answers

Answer:

d

Step-by-step explanation:

Answer:

The second one

Step-by-step explanation:

Hope this helps! Consider brainiest!

x + y = -2

transformed into y form

Answers

Answer:

y = - 2 - x

Step-by-step explanation:

Since x + y = - 2, In the other side, it would be...

y = - 2 - x

Hope this helps :)

Please mark me as Brainliest!! I gave you the right answer.

PART 1 Please help me 10 points i just joined today ;)

PART 2 is on other question

Answers

Answer:

B=30,000

Y=The Plane's altitude

M= -2,000

X= Minutes

Equation: y=-2,000x+30,000

Slope= ?

Y-intercept= the point where you start at

what is the altitude after 10 minutes?=10,000

How Long does it take to get to 0 altitudes?=15 (Minutes)

Step-by-step explanation:

What are the choices for slope

KONG
The population of Kingsfield grew from 5,400 people to
7,200 people in one year. During the same time, the
population of Queensville dropped from 24,000 people to
19,600 people. If these rates continue, how many years
before the two towns have the same population?

Answers

Answer:

The population of a town grew from 20,000 to 28,000. The continuous growth rate is 15%. The equation represents the situation, where t is the number of years the population has been growing. About how many years has the population of the town been growing? Use a calculator and round your answer to the nearest whole number.

I found some info on a Quiz maybe this can help a bit

Have a Nice Day!

Fully simplify to one fraction.
x+3+3x/x+5

Answers

Answer:

[tex] \frac{4x + 3}{x + 5} [/tex]

Step-by-step explanation:

add x and 3x

Which equation best represents the relationship between x and y in the graph? please guys I need help.

Answers

Answer:

its a or y = -3/4x -3

Step-by-step explanation:

slope-intercept form is y = mx + b where m is the slope and b is the y-intercept. the line intercepts at the y at point -3 so the y-intercept is -3 the slope is -3/4 and you just plug them into the slope intercept form

please answer eeeeeeeeeeeeeeeeeeeva

Answers

Answer:

35 students

Step-by-step explanation:

Find 25% of 500:

[tex]\frac{25}{100}[/tex] × [tex]\frac{500}{1} = \frac{12500}{100}[/tex]  [tex]\frac{12500}{100} = \frac{125}{1} = 125[/tex]  

Find 18% of 500:

[tex]\frac{18}{100}[/tex] × [tex]\frac{500}{1} = \frac{9000}{100}[/tex]  [tex]\frac{9000}{100} = \frac{90}{1} = 90[/tex]  

Find the difference:

125 - 90 = 35

So, 35 more students prefer video games to bike riding.

I hope this helps!

Kevin hopes to earn a college basketball scholarship.To improve his shooting skills Kevin shoots 50 baskets./day.If Kevin shoots 50 baskets every day for 60 days how many shots would Kevin take

Answers

In sixty days, assuming that Kevin shoots exactly fifty baskets everyday, he'd have shot 3,000 baskets. (multiply 60 x 50 = 3,000)

Hope this helps: If it did, please mark brainliest, give a thanks, and rate it five stars! [I'm two brainliests away from moving up!] Have an amazing rest of your day and stay safe! Let me know if you need anymore help! xx

Which statement is true about the coordinates of points A and B?

Answers

Answer:

the 4th imagen math box

Step-by-step explanation: trust me pleses

Answer:

y/x of point A=y/x of point B

Step-by-step explanation:

What is the slope of the line through (-1, 4) and (1, -2)​

Answers

Answer:

Slope = -3

Step-by-step explanation:

The slope is the change in y over the change in x

The slope formula is m=y₂-y₁/x₂-x₁ (y over x)

So, plug in your coordinates (the subscript represents the order in which your points are going to be subtracted in)

So, you would get m=-2-4/1-(-1)

Simplify (first subtract the top, then subtract the bottom)

This would get you to -6/2 (remember your rules: a negative and a negative makes a positive)

-6/2 would get you to -3

-3 is the answer

The correct answer is A

When you graph a linear function, slope refers to the steepness of the line the function makes. The slope of this line is the same as the
of the linear function. The slope can be expressed as a decimal, fraction, or integer.

Answers

Answer:

you are the only person I can be of assistance to

Step-by-step explanation:

ok is the best friends to come in the medicine and the

Shryia read a book cover to cover in a single session, at a constant rate. After reading for 1.5, point, 5 hours, she had 402 out of the total 480 pages left to read.

Answers

Answer:

y = -52x + 480

Step-by-step explanation:

Let us assume the number of pages left be x

And, the number of hours is x

According to the question

Data given is as follows

Number of hours 1.5 and 5

Total pages 480

Left pages 402

Based on the above information,

The computation is shown below;

Pages read by Shriya in 1.5 hours is

= Total pages in the book - left pages to read

= 480 pages - 402 pages

= 78 pages

And, there is 1.5 hours

So in one hour she read

= 78 pages ÷ 1.5 hours

= 52 pages per hour

So, the equation is

y = -52x + 480

How to evaluate each expression given the variable replacements

Answers

Answer:

Step-by-step explanation:

I need the expressions, please.

Simplify: -2 (8 - 6s + 11t - 3u)

Answers

Answer:

Step-by-step explanation:

-16 + 12s - 22t + 6u

The answer is 12s - 22t + 6u -16

A six-sided die is tossed and a coin is flipped. What is the fractional probability that the die lands on an even number and the coin is heads?

Answers

Answer:

the die: 1/2, coin: 1/2

Step-by-step explanation:

There are 6 sides on a die and 6 numbers, 3 are even numbers which means 3/6. simplify it to get 1/2

there are 2 sides on a coin, one is heads. Therefore, the probability is 1/2

The fractional probability that the die lands on an even number and the coin is heads is [tex]\frac{1}{4}[/tex].

What is probability?

"Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty."

Given, a die is tossed and a coin is flipped.

Therefore, the number of outcomes in case of die is 6 and the number of favorable outcomes is 3.

Hence, in case of the die, probability of getting an even number is P(A) = [tex]\frac{3}{6}[/tex] = [tex]\frac{1}{2}[/tex].

Again, the number of outcomes in case of the coin is 2 and the number of favorable outcomes is 1.

Hence, in case of the coin, probability of getting head is P(B) = [tex]\frac{1}{2}[/tex].

Now, the fractional probability that the die lands on an even number and the coin is heads is = P(A) × P(B) = [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{2}[/tex] = [tex]\frac{1}{4}[/tex].

Learn more about probability here: https://brainly.com/question/16484393

#SPJ2

What is the value of C49 ?


36


126


6561


3024

Answers

Is there like a chart because I cans understand it it must have a chart or something missing

Using the concept of combination, the value of the expression 9C4 is 126

Recall the combination formula :

[tex]nCr = \frac{n!} {(n-r)!r!} [/tex]

[tex]9C4 = \frac{9!} {(9-4)!4!} [/tex]

[tex]9C4 = \frac{9 \times 8 \times 7 \times 6} {4 \times 3 \times 2 \times 1} [/tex]

[tex]9C4 = \frac{3024} {24} = 126 [/tex]

Therefore, the value of the expression 9C4 is 126.

Learn more : https://brainly.com/question/18405415

Rena spent 6 days reading her book completing the same fraction of the book each day if she had a total of 8/9 of her book after 6 days what fraction of the book did she react each day

Answers

Answer:

The fraction of the book that Rena read every day is [tex]\frac{4}{27}[/tex]

Step-by-step explanation:

Rena spent 6 days reading her book completing the same fraction of the book every day and you want to know the fraction of the book she read each day. Knowing that Rena had a total of 8/9 of her book read after 6 days, then you simply divide the total amount of the book read during those days by 6, the number of days:  

[tex]\frac{8}{9}[/tex]÷6

To divide a fraction by a whole number, you must convert the whole number into a fraction, finding the reciprocal of that fraction, and multiply it by the first fraction. That is, you must find the reciprocal of the number that is after the division symbol; and then you multiply the first number (the one before the division symbol) by the reciprocal of the second number (the one after the division symbol). Remember that to find the reciprocal of a number, you simply have to change the numerator and denominator of the number.

Since 6 can be considered to be a fraction equal to [tex]\frac{6}{1}[/tex], by inverting the number, then you get [tex]\frac{1}{6}[/tex]

Then:

[tex]\frac{8}{9}[/tex]÷6= [tex]\frac{8}{9} *\frac{1}{6}[/tex]

Now you multiply the numerators and denominators of the fraction to get the new numerator and denominator of the final solution.

[tex]\frac{8}{9}[/tex]÷6= [tex]\frac{8}{9} *\frac{1}{6}=\frac{8*1}{9*6} =\frac{8}{54}[/tex]

Finally, simplifying the fraction:

[tex]\frac{8}{9}[/tex]÷6= [tex]\frac{8}{9} *\frac{1}{6}=\frac{8*1}{9*6} =\frac{8}{54}=\frac{4}{27}[/tex]

So:

[tex]\frac{8}{9}[/tex]÷6= [tex]\frac{4}{27}[/tex]

The fraction of the book that Rena read every day is [tex]\frac{4}{27}[/tex]

PLSSS DUE IN 8 MINS.

Answers

Answer:

1, 148, 149.

your welcome

Answer:

E,B,F≥150

Step-by-step explanation:

150≥150

152≥150

151≥150

Lee drew five rectangles as shown on this coordinate grid

Answers

Given:

Lee drew five rectangles as shown on this coordinate grid .

To find:

The correct statement.

Solution:

From the given diagram, it is clear that,

Dimensions of rectangle x are 6 by 3 units.

Dimensions of rectangle A are 7 by 3 units.

Dimensions of rectangle B are 6 by 3 units.

Dimensions of rectangle C are 3 by 6 units.

Dimensions of rectangle D are 6 by 4 units.

Dimensions of rectangle x and B are same and clearly it can be translation or rotation about the origin.

Dimensions of rectangle x and C are same but only rotation is not sufficient to get rectangle C from rectangle x.

Dimension of rectangle x, A and D are different, so they are not congruent and we cannot get rectangle A and D by rotation, reflection and translation.

Therefore, the correct option is B.

Is the unit rate of change for the linear function shown in the table?​

Answers

The answer to the question is B

Solve the equation |2x + 1| = 2(x + 1). Are there any extraneous solutions?

Answers

Answer:

[tex]x=-\frac{3}{4}[/tex]

Step-by-step explanation:

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