The equation y = kx represents a proportional relationship between x and y, where k is the constant of proportionality. For a moving object, the equation d = st represents a proportional relationship between distance (d) and speed (s) or between distance (d) and time (t). Explain the different ways that you can define the constant of proportionality for this equation.

Answers

Answer 1

Answer:

Hello!!!

In this specific case the constant of proportionality is s (speed).

Step-by-step explanation:

The constant of proportionality stay "constant" (as the name suggests) in a certain case.

meaning, the speed itself remains constant at any given distance or time.

You can use the constant of proportionality and either distance or time to find the missing varliable since it remains constant.

you can also switch up the formula:

d=st

t=d/s

s=d/t

i really hope this helps!!!!!


Related Questions

A ream of A4 paper contain 500 sheets the size of each paper is 297mm long and 210mm wide the volume of the ream is 3742.2cm find the thickness of each sheet of paper answer in millimeters​

Answers

Surface 1 sheet: 29.7cm (297mm) X 21.0cm (210mm) = 623.7cm

Volume 1 sheet: 3742.2cm : 500 = 7.4844cm

So thickness of 1 sheet: 7.4844cm : 623.7cm = 0.012cm X 10 = 0.12mm

So the thickness of each sheet of paper is 0.12mm

The thickness of each sheet of paper is 0.0012mm.

To find the thickness of each sheet of paper answer in millimeters​.

What is mensuration?

The act of measuring geometry applied to the computation of lengths, areas, or volumes from given dimensions or angles.

Given that:

A ream of A4 paper contain 500 sheets the size of each paper is 297mm long and 210mm wide the volume of the ream is 3742.2cm.

To convert cm in mm.

3742.2cm=37422 mm

Surface 1 sheet:

(297mm) X 210mm) =

62370[tex]mm^{2}[/tex]

Volume 1 sheet:

37422mm : 500 =

74.844mm

Thickness of 1 sheet:

74.844mm : 62370mm =

0.0012mm

So, the thickness of each sheet of paper is 0.0012mm.

Learn more about mensuration here:

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please answer!! will mark brainliest to whoever answers both :)

Answers

Answer:

2)   10.01 year

Step-by-step explanation:

1) already answered elsewhere in your posts

2)    9000 = 6500 e^(.0325 * t)          where t = years

      9000/6500 = e^(.0325*t)          take ln (natural log) of both sides

      .3254224 = .0325t

        t = 10.01      10.01 year

If f(1)=1f(1)=1 and f(n)=f(n-1)^(2)-1f(n)=f(n-1)
2
-1 then find the value of f(4)f(4).

Answers

Answer:

  f(4) = 0

Step-by-step explanation:

For many sequences that involve recursive formulas, the quickest way to find the value of a given term is to evaluate those leading up to it. That seems to be the case here.

givenf(1) = 1f(n) = f(n -1)² -1findf(4)solution

The next term after the one given is ...

  f(2) = f(1)² -1 = 1² -1 = 0

Then we have ...

  f(3) = f(2)² -1 = 0² -1 = -1

  f(4) = f(3)² -1 = (-1)² -1 = 0

The value of f(4) is 0.

_____

Additional comment

Now that we have seen a few terms of the sequence, we can write an explicit formula for the terms after the first:

  f(n) = (-1 +(-1)^n)/2 . . . integer n ≥ 2

Quadrilateral CDEF is similar to quadrilateral GHIJ. Find the measure of side JG.
Round your answer to the nearest tenth if necessary.

Answers

Answer: 30.5

Step-by-step explanation:

if one angle of a triangle is 63 and the other two are 7x degrees and 6x degrees what is X worth

Answers

Answer:

    x = 9

Step-by-step explanation:

Sum of all angles of a triangle = 180

                63 + 7x + 6x  = 180

                  63  +  13x    =180

                             13x   = 180 - 63

                              13x  = 117

                                 x  = 117/13

x = 9

Answer:

X= 9

Step-by-step explanation:

The angles in a triangle all add up to 180°

Hence we can form this equation :

63 + 7x + 6x = 180°

Subtracting 63 from both sides:

7x + 6x = 117°

Adding together to find the total X:

13x = 117°

Finally, diving by 13 on both sides:

X = 9

What is the slope of the line that contains the points in the table?
X
4
-1
2
8

Y
-9
-9.75
-10.5
-12​

Answers

Answer:

[tex]\frac{3}{20}[/tex]

Step-by-step explanation:

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

                        =[tex]\frac{-9.75+9}{-1-4}[/tex]

                        =[tex]\frac{3}{20}[/tex]

9. Use the Desmos graphing calculator to find slope and y-intercept for the least-squares
regression line for the dataset in the table:
xy
31
45
8 11
10 21
m= 2.55, b= 6.435
m=1.477, b=1.477
m= 1.698, b-0
m=2.55, 6-6.435

Answers

Answer:

D) m=2.55, b=-6.435

Step-by-step explanation:

See attached file ("a" represents the slope and "b" represents the y-intercept).

For all values of x,
x² + 6x - 2 = (x+p)² + q
Find the value of p and the value of q.

Answers

Step-by-step explanation:

[tex] {x}^{2} + 6x - 2 = {x}^{2} + 2px + {p}^{2} + q[/tex]

[tex]2p = 6[/tex]

[tex] {p}^{2} + q = - 2[/tex]

[tex]p = 3[/tex]

[tex] {3}^{2} + q = - 2[/tex]

[tex]q = - 11[/tex]

p=3, q=-11

Complete the equation describing how x and y are related

Answers

Answer:

Negative number Addition and Subtraction.

Step-by-step explanation:

Ok so, 1-(-4)+ to 5

and 2-(-3) also = to 5 so you can kinda see a pattern if you get this 1 has to subtract by 5 bc 1-5=-4 and the same for the others so I hope I get this right and it helps.

y=x+-5

If a sphere has a volume of 9198.1 in, what is the radius of the sphere?
(use at 3.14)
Radius:
i

Answers

Answer:

13

Step-by-step explanation:

Volume to find radius: [tex](3\frac{V}{4\pi})^1^/^3[/tex]

Substitute: [tex](3\frac{9198.1}{4\pi})^1^/^3[/tex]

Solve: [tex](3(732.3))^1^/^3[/tex]

[tex]2196.9^1^/^3[/tex]

13≈r

hhhhhhhhhhhhhhhhhhhhhhh

Answers

Answer:

i think its D.

Step-by-step explanation:

i just counted

Which describes the process of finding the volume of a cylinder? (Help ASAP)​

Answers

The one on the right is correct. please give brainliest.

Look at the picture below

The median number of shoes for the girls is greater than the median number of shoes for the boys.


The median number of shoes for the boys is greater than the median number of shoes for the girls


The mean number of shoes for the boys is greater than the mean number of shoes for the girls.


The value of Q3 for the boys is greater than the value of Q3 for the girls

Answers

Answer:

The median number of shoes for the girls is greater than the median number of shoes for the boys.

Write the standard form equation for circle

Answers

Step-by-step explanation:

(x - h)² + (y - k)² = r²

with (h, k) being the center and r the radius.

in our case the center is (1, 3), the radius is 3.

so, the right answer is the third answer option

(x - 1)² + (y - 3)² = 9

Can you simplify 10/24

Answers

Answer: 5/12

Step-by-step explanation: basically divide each number (10 &24) by 2

6. Abbi invested $1,000 in a certificate of deposit with a simple interest rate of 4%. Find the interest earned in 8 years. Then find the total of principal plus interest.​

Answers

Answer:

$1320

Step-by-step explanation:

4%=0.04

Intrest = 0.04x8

Intrest = 0.32

Intrest = 1000x0.32

Intrest = 320

Then add 1000+320=1320

GIVING BRAINLIEST!!!!!

Answers

Answer:

The first answer is correct

Step-by-step explanation:

< O Z Q = < O Z P  + < Q Z P

Given that,

< O Z Q = 12x - 4

< O Z P = 6x + 4

< Q Z P = 3x + 10

Let us solve it now.

< O Z Q = < O Z P  + < Q Z P

12x - 4 = 6x + 4 + 3x + 10

Combine like terms and make the x as the subject.

12x - 4 = 9x + 14

12x - 9x - 4  = 14

3x - 4 = 14

3x = 14 + 4

3x = 18

Divide both sides by 3.

x = 6

C is the answer I think I did the math and everything

Hi! really need help with my math and its due tmrw please helppp Also make sure
to slide over to see the other problems sorry if its glitchy.

Answers

Answer:

The value of x is equal to 109

A recipie requires 3/4 lbs of onions to make 3 servings of soup. Mark has 1 1/2 lbs of onions. How many servings can Mark make?​

Answers

Answer:

4 1/4 lbs of onions = 1llb so there are 4 x 3 servings = 12 servings in 1 lb 6 servings in 1/2 lb total of 12+6= 18 servings you can also use ratio and proportion converted to decimals to eliminate fractions ,25/3= 1.5/x cross multiply .25x= 4.5 x=18 hope this helps

Step-by-step explanation:

Find the equation of a line that passes through the point (2,4) and has a gradient of 1/3 . leave your answer in the form y = m x + c

Answers

Answer:

y = mx + b

y = 1/3x + b

Use (2,4) to find b

4 = 1/3(2) + b

b = 4 - 2/3

b = 12 - 2

3

b = 10/3

The equation will be:

The equation will be: y = 1/3x + 10/3

GR. 9 QUESTION 1/ VRAAG 1: Simplify the following: / Vereenvoudig die volgende: 1.1 -8xy-6xz + 10xy + 9xz - 4yx
1.2 m² - 4m - 1 + m² - 8m + 5-6m² +3m - 1

Answers

Answer:

Below in bold.

Step-by-step explanation:

-8xy-6xz + 10xy + 9xz - 4yx    (Note 4yx = 4xy)

Bringing like terms together we have:

-8xy + 10xy - 4xy - 6xz + 9xz

= -2xy + 3xz.

m² - 4m - 1 + m² - 8m + 5-6m² +3m - 1

= m² + m² - 6m² - 4m - 8m + 3m - 1 + 5 - 1

= -4m² - 9m + 3.

christian is trown into a swimming pool his mass is 62,000g and his volume is 68,000cm3 what would his density be? (Show solution)

Answers

Answer:

0.91 g/cm³

Step-by-step explanation:

Density Formula

Density = Mass/Volume

Solving

Density = 62,000 g / 68,000 cm³Density = 31/34 g/cm³Density = 0.91 g/cm³

Find the length of a hypotenuse for a right triangle with legs 3 and 3. Round your answer to the nearest hundredth.

Answers

Answer:

H=4.243

Step-by-step explanation:

Formula: A^2+B^2=C^2

(3)^2+(3)^2=C^2

9+9=C^2

sqrt18=C

C=4.242640....

YOUR HELP WOULD BE MUCH APRECIATED!!!!!!!!!

Answers

[tex]y = 4^{-2}[/tex] = [tex]\frac{1}{16}[/tex]

[tex]y = 4^ {1}[/tex] = [tex]\\ 4[/tex]

[tex]y = 4^{3}[/tex] = [tex]\\ 64[/tex]

Can you use Pythagorean Theorem to find the missing side?

Answers

Answer:

b=20

Step-by-step explanation:

[tex] {b}^{2} = {c}^{2} - {a}^{2} \\ b = \sqrt{ {25}^{2} - {15}^{2} } \\ b = 20[/tex]

°116°
56
f
What is the degree measure of f?.

Answers

Answer:

C. 60

Step-by-step explanation:

60 degrees. the outside angle forms a linear pair w the missing angle, so subtract 116 from 180, giving 64. then ad to 56 to get 120. since the angels of a triangle add to 180, subtract 160 from 180 to get 60, the angle f


For how many values of x does f(x) = g(x), on the graph shown
below?


a. 0
b. 2
c. 3
d. 6

Answers

Answer:

the answer is C

Step-by-step explanation:

as you can see f(x) cut g(x) 3 time ( sorry for my bad English )

How do you write 7.4 × 10–2 in standard form?

Answers

Answer:

740

Step-by-step explanation:

10^2 = 100

So 7.4 * 10^2

= 740

Answer the one you would like thank you.

Answers

Answer: 1.9

Step-by-step explanation:

Question 11

9.88 rounds to 10

5.2 rounds to 5

10/5 = 2

The expression above can also be written in the form a=, b=,c=. 3 6/5
The expression above can also be written in the form .

For this expression, a =
, b =
, and c =
.

Answers

The value of a, b, and c are 3, 6, and 5 respectively because we can write the provided expression as ⁵√(3)⁶

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

We have:

[tex]\rm = 3^{\dfrac{6}{5}}[/tex]

We can write it as:

[tex]\rm = \sqrt[5]{3^6}[/tex]

The value of a = 3,

The value of b = 6, and

The value of c = 5

Thus, the value of a, b, and c are 3, 6, and 5 respectively because we can write the provided expression as ⁵√(3)⁶

Learn more about the expression here:

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