what is the constant proportionality of this graph

Here we want to order from least to greatest the following expressions:

7.12 = 7.121212...

√75

√45

We will find that the order is: √45 < 7.12 < √75

remember that:

√x = y

such that:

y*y = x

From this, is easy to see that:

√45 < √75

Now to see where 7.1212... enters, we need to compute:

(7.1212...)*(7.1212...) = (7 + 0.1212...)*(7 + 0.1212...)

                               = 7*7 + 2*7*0.121212... + 0.1212...*0.1212...

                               = 49 + 2*7*0.121212... + 0.1212...*0.1212... > 45

So we know for sure that:

7.12 > √45

And 8*8 = 64 < 75

then:

7.12 < 8 = √64 < √75

For transitivity, we have:

7.12< √75

Then the order, from least to greatest, is:

√45 < 7.12 < √75

If you want to learn more, you can read:

https://brainly.com/question/21548193

Answer:

[tex]y=-\frac{2}{5}x-3[/tex]

Step-by-step explanation:

Write in slope-intercept form,  y = m x +b .

Answer: m = -0.4

Step-by-step explanation: -7 - (-1) = -6 and 10 - (-5) =15, m=y/x so -6/15 equals -0.4.

Hope this helps!

Answer:

60

Step-by-step explanation:

percentage=18

rate=30%

base=_____

p/r=b

18/0.30=60

Answer:

60

Step-by-step explanation:

18=30%

6=10%

6x10=60

10x10=100%

Answer:

a

Step-by-step explanation:

Answer:a

Step-by-step explanation:

Answer:

y=1/6x-7/6

Step-by-step explanation:

-6y = -x + 7

y = x/6 - 7/6

This is assuming you mean in standard form.

Also, you may have to write it as 'y=1/6x-7/6'

Answer:

The probability that on a given day, the cars will park in such a way that they alternate is 1.0825 × 10⁻⁵.

Step-by-step explanation:

It is provided that the cars will be parked in such a way that they will be alternating: US made, foreign made, US made, foreign made, etc.

First park all the US cars. This can be done in 10! ways, since the cars are distinct.  

Now park the foreign cars between the US cars. This can also be done in 10! ways.  

Since the sequence could begin either with a US car or with a foreign car, the possible number of ways to park alternating cars is

Favorable Outcomes = 2 × 10! × 10!

The total number of ways to park the 20 distinct cars is,

Total Outcomes = 20!

Compute the probability that on a given day, the cars will park in such a way that they alternate as follows:

[tex]P(\text{Alternate Parking})=\frac{\text{Favorable Outcomes}}{\text{Total Outcomes}}[/tex]

                                  [tex]=\frac{2\times 10!\times 10!}{20!}\\\\=\frac{2\times 10!\times 10!}{20\times 19\times 18\times ...10!}\\\\=\frac{2\times 10!}{20\times 19\times 18\times ...11}\\\\=1.0825\times 10^{-5}[/tex]

Thus, the probability that on a given day, the cars will park in such a way that they alternate is 1.0825 × 10⁻⁵.

Answer:

The answer is D.

Step-by-step explanation:

-24+24=0

Answer: $14.00

Steps: To find the percentage, Multiply original amount by the percentage (convert percent to decimal form).

So, 20 × .30 = 6

She gets $6.00 off the original price.

$20.00 - $6.00 = $14.00

Plz mark brainliest:)

Answer:

6 Gallons of Paint

Step-by-step explanation:

If you use a half gallon of paint to cover 84 square feet, how much could you paint with a full gallon? Lets figure it out:

[tex]\frac{1}{2} = 84[/tex]

multiply both sides by 2 so that the 1/2 gallon is now 1 gallon:

[tex]\frac{1}{2} * 2 = 84 * 2[/tex]

1 gallon = 168 square feet

now, how many gallons does it take to paint 932 square feet?

Divide 932 by 168:

[tex]\frac{932}{168} = 5.548[/tex]

Just like you cant buy 2.374 cheeseburgers, you cant buy 5.548 gallons of something so we round up and will have some paint left over once the job is done. So 6 gallons is the answer

The amount of gallons needed is 5.55gallons approximately

If Joel used a half-gallon of paint to cover 84 square feet of wall, this can be expressed using the equality sign as:

1/2 gallons = 84 square feet

In order to find the number of gallons for 932 square feet of wall to paint, we will write:

x = 932 square feet

Divide both expressions

1/2x = 84/932

2x = 932/84

2x = 11.09

x = 11.09/2

x = 5.55 gallons

This shows that the amount of gallons needed is 5.55gallons approximately

Learn more here: https://brainly.com/question/3796978

Answer:

3

Step-by-step explanation:

Because the slope line is ending on 3

Answer:

18

Step-by-step explanation:

We know that line FH total length is 49. We also know that the length of line GH is 31.

To find FG, all we need to do is subtract 49-31 to find the length of FG.

Line FG total length is 18.

Answer:

x 1 = -3  

x2 = -3

y1 = 0

y2 = 5

The slope of that equation is infinite and the equation is a perfectly vertical line at x = -3.

So, the equation is x = -3.

Step-by-step explanation:

Given parameters:

The coordinates of points on the line;

  (x, y) = (-3,0) and (x, y) = (-3, 5)

Unknown;

The equation of the line = ?

The equation of a line is usually expressed in the form y = mx + c

  Where;

     y and x are the coordinates

      m is the slope

      c is the y-intercept

Now we need to first find the slope of the line.

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

       (x₁, y₁) = (-3,0) and (x₂, y₂) = (-3, 5)

Input the parameters and solve;

     Slope = [tex]\frac{5 - 0}{-3 -(-3)}[/tex]   = infinity

The line has an infinite slope.

The equation of the line is therefore x  = c

         x  = -3

Answer:  

log (567x 4)

The 4 is and exponent

Step-by-step explanation:

Step-by-step explanation:

A

is 45

B

is 45

C

is 90

hence

A+B+C=180

=45+45+90 =180

Step-by-step explanation:

1 minute has 60 seconds

what about 450 seconds

so

450/60=7.5

so 450 seconds are 7.5 minutes.

Answer:

D

Step-by-step explanation:

Domain of the function 3x + 2y = 8 are the possible set of x-values represented as {-2, 0, 2, 4}.

To know which graph represents the above given function, find the range values of the function by plugging in each value of x into the equation, to find y.

For x = -2,

3(-2) + 2y = 8

-6 + 2y = 8

2y = 8 + 6

2y = 14

y = 14/2

y = 7

(-2, 7)

For x = 0,

3(0) + 2y = 8

0 + 2y = 8

2y = 8

y = 8/2

y = 4

(0, 4)

For x = 2,

3(2) + 2y = 8

6 + 2y = 8

2y = 8 - 6

2y = 2

y = 2/2

y = 1

(2, 1)

For x = 4,

3(4) + 2y = 8

12 + 2y = 8

2y = 8 - 12

2y = -4

y = -4/2

y = -2

(4, -2)

The graph which shows the following set of coordinates pairs calculated above, ((-2, 7), (0, 4), (2, 1), (4, -2)), is the graph of the function 3x + 2y = 8.

Thus, the graph in option D the shows the following calculated coordinate pairs. Therefore, graph D is the answer.

Answer:

Step-by-step explanation:

PERCENT CHANGE

The percentage change from 1.20 to 1.80 is 50 %

Our percent calculator uses this formula:

((y2 - y1) / y1)*100 = your percentage change

(where y1=start value and y2=end value)

((1.80 - 1.20) / 1.20) * 100 = 50 %

Answer:

2 standard deviation under his average time

Step-by-step explanation:

answer:

640,000

step-by-step explanation:

to find the answer, we need to determine whether 41,267 is closer to 40,000 or 50,000.

looking at the numberline, we can conclude that the placement of 641,267 is closer to 640,000, not 650,000.

therefore, the answer is 640,000. (see image attached)

hope this helps :)  

-audrey <3

Answer:

don't know..I am not fully understand.

can u please bhut other example

Answer:

30.9 is your answer

Step-by-step explanation:

Answer:

=  0.2525  miles

Step-by-step explanation:

Answer:

nope

Step-by-step explanation:

there are same sizes fine but the breadth isn't the same

Answer:

Stop yellin

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

Use the permutation and combination formulas to evaluate.

Answer:

20

Step-by-step explanation:

just took the test