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.

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

Answer:

740

Step-by-step explanation:

10^2 = 100

So 7.4 * 10^2

= 740

Answer:

0.91 g/cm³

Step-by-step explanation:

Density Formula

Solving

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

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]

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

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).

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.

Answer: 30.5

Step-by-step explanation:

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

Answer:

C. 60

Step-by-step explanation:

[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]

Answer: 1.9

Step-by-step explanation:

Question 11

9.88 rounds to 10

5.2 rounds to 5

10/5 = 2

Answer: 5/12

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

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.

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

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

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:

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

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....

Answer:

b=20

Step-by-step explanation:

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

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

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 )

The thickness of each sheet of paper is 0.0012mm.

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

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:

https://brainly.com/question/27801584

#SPJ5

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

Answer:

i think its D.

Step-by-step explanation:

i just counted

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

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:

brainly.com/question/14083225

#SPJ1

Answer:

The value of x is equal to 109

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

Answer:

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