A school is making digital backups of old reels of film in its libraries archives the table below shows approximate run times of the film's for giving diameter of filming the reel.

which of the following equations is a good model for the run time, Y, as a function of the diameter, X​

Answer:

Hello! answer: 21

Step-by-step explanation:

25 × 3 = 75

7 × 3 = 21 so n = 21 HOPE THAT HELPS!

Answer:

Answer: 21

Step-by-step explanation:

25 × 3 = 75

7 × 3 = 21 so = 21

Answer:

A or g(x) = f(x − 3) + 3

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

i am smart

Answer:

X=4

Step-by-step explanation:

Simplifying

8x + 7 = 6x + 15

Reorder the terms:

7 + 8x = 6x + 15

Reorder the terms:

7 + 8x = 15 + 6x

Solving

7 + 8x = 15 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.

7 + 8x + -6x = 15 + 6x + -6x

Combine like terms: 8x + -6x = 2x

7 + 2x = 15 + 6x + -6x

Combine like terms: 6x + -6x = 0

7 + 2x = 15 + 0

7 + 2x = 15

Add '-7' to each side of the equation.

7 + -7 + 2x = 15 + -7

Combine like terms: 7 + -7 = 0

0 + 2x = 15 + -7

2x = 15 + -7

Combine like terms: 15 + -7 = 8

2x = 8

Divide each side by '2'.

x = 4

Simplifying.                Hope this helps :D

x = 4.                              Plz brainly and like

Answer:

249.60

Step-by-step explanation:

300 x .8 (100%-20%)=240

240 x .04 (4% sales tax)=9.60

price = 240+9.60=249.60

Answer:

30 Step-by-step explanation:

Answer:

Its 60

Step-by-step explanation:

I took the test

Answer:

-7

Step-by-step explanation:

Sum means addition:

18 + 0 + (-4) + (-12) + 6 + (-15) = -7

You can also combine like terms to get:

24 + (-31) = -7

Answer:

b) -7

Step-by-step explanation:

hope this helps you :)

Answer:

Question?

Step-by-step explanation:

?

Answer:

It's Cos again.

Thumbs-up

Answer:

10.5, 31.5,  and 6.

Step-by-step explanation:

So to find the answers here, we must find the  value of t, when h equals 1.

To do this, lets take a h-t value we already know, and solve.

We can use: when h=2 t equasl 21:

2h=21t

So if we divide both sides by two we get:

2h/2=21t/2

=

h=10.5t

So know we know for every one h, t is 10.5

This can be verifyed with 4h = 42t. Which after solving, equals 1h=10.5t

So now that we have a value for t, lets get our solutions.

First off, we have 1h=__t?

Well, we have already made this one clear. It would be 10.5t, since for every 1h we have 10.5t

Next up, we have 3h=___t

All we have to do it multiply 10.5 by 3 to solve this:

10.5*3

=

31.5

So this is our second fill in answer.

Finally we have ___h=63t

We must divide both sides by 10.5, which is equal to 1t, to find this answer:

63/10.5

=

6

So our last fill in answer is 6.

Hope this helps!

Answer:

A)  4/5

B)  2/25

C)  2/45

Step-by-step explanation:

A) P(not blue) = 8/10 or 4/5

B) P(red,blue) = 4/10 x 2/10 = 2/25

C) P(yellow,red) = 1/10 x 4/9 = 2/45

Answer:

G

Step-by-step explanation:

G. Plug in x=5 to    x-2<7

which becomes

5-2<7

3<7

which is correct.

Hope This Helps!

Answer:

28

[tex]\frac{7}{2} \\\\\frac{x}{8}[/tex]

[tex]2 * x = 8\\x = 4[/tex]

[tex]7 * 4 = x\\x = 28[/tex]

PLZZ GIVE BRAINLIEST

Answer:

[tex]x = 8\±\sqrt{10[/tex]

[tex]a =8[/tex]    [tex]b = 10[/tex]

Step-by-step explanation:

Given

[tex]x^2 - 16x + 54 = 0[/tex]

Required

Complete the square

[tex]x^2 - 16x + 54 = 0[/tex]

Subtract 54 from both sides

[tex]x^2 - 16x + 54 -54= 0-54[/tex]

[tex]x^2 - 16x = -54[/tex]

--------------------------------------------------

Take half of - 16

[tex](-16/2) = -8[/tex]

Square the result

[tex](-8)^2 = 64[/tex]

Add the squared result to both sides of the equation

--------------------------------------------------

So, we have:

[tex]x^2 - 16x +64= -54+64[/tex]

[tex]x^2 - 16x +64= 10[/tex]

Expand

[tex]x^2 - 8x - 8x + 64 = 10[/tex]

Factorize

[tex]x(x - 8) - 8(x - 8) = 10[/tex]

Factor out x - 8

[tex](x - 8)(x - 8) = 10[/tex]

[tex](x - 8)^2 = 10[/tex]

Take square roots

[tex]x - 8 = \±\sqrt{10[/tex]

Solve for x

[tex]x = 8\±\sqrt{10[/tex]

We have:

[tex]x = a - \sqrt{b}[/tex]

[tex]x = a + \sqrt{b}[/tex]

By comparing the above with: [tex]x = 8\±\sqrt{10[/tex]

Answer:

Step-by-step explanation:

Answer:

3.

Step-by-step explanation:

15 - 12 = 3.

The ends of the box are the lower and upper quartiles.

The difference  upper - lower = the interquartile range.

Answer:

A

Step-by-step explanation:

Answer

1. x²+2x-24

2. 2x²-1x-15

3. 6x²+19x+10

4. 2x²-11x+5

Answer:

[tex]x^{2} +2x-24[/tex]

[tex]2x^{2}-x-15[/tex]

[tex]6x^{2}+19x+10[/tex]

[tex]2x^{2}-11x+5[/tex]

Step-by-step explanation:

Answer:

easy what's 5% of 3000 that's just for one year then multiple it by 4

Answer:

using 3.14 for pi the volume is 502.4

Step-by-step explanation:

Answer: Hi your question is poorly structured I believe your question is construct a pareto chart to show the major problem areas

answer : attached below is the pareto chart.

Step-by-step explanation:

      Rearranged table starting from highest frequency

The type of Nonconformity                             Frequency      Percentage

     Heel separation                                               92                   40.89

     sole penetration                                              60                     26.67

       Sole separation                                              36                     16

       Other                                                               16                      7.11

      Lace breakage                                                13                       5.8

     Eyelet failure                                                      8                      3.5

Total = 36 + 13 + 92 + 8 + 60 + 16 = 225

Next step : determine the percentages of the various Nonconformity

sole separation = 36 / 225 ) * 100 = 16%

lace breakage = ( 13/225 ) * 100 = 5.8% = 6%

Heel separation = ( 92/225 ) * 100 = 40.89% = 41%

Eyelet Failure = ( 8 /225 ) * 100 = 3.5% = 4%

sole penetration = ( 60 / 225 ) * 100 = 26.67% = 27%

other = ( 16 / 225 ) * 100 = 7.11% = 7%

Next plot the Two columns using excel to show the Pareto chart attached below is a screen shot of the plot

Answer:

Point B is to the right of point A

Step-by-step explanation:

On a number line, the mid value is usually 0 with positive and negative numbers positioned to the either sides of the midpoint 0, the negative numbers are arranged to the left and the positive numbers are written to the right. With this in mind and the knowledge that positive numbers are always greater than negative numbera. Then we can conclude that point B is greater than point A because point B is positive and point A is negative because point B is to the right of Point A.

Answer:

we need 6 scoops of sugar

9514 1404 393

Answer:

  (3, 2)

Step-by-step explanation:

Reflection across y=x swaps the coordinates:

  (x, y) ⇒ (y, x)

Dilation by a factor of 1/2 multiplies each coordinate by 1/2.

  (x, y) ⇒ (x/2, y/2)

The combination of these transformations gives you ...

  (x, y) ⇒ (y/2, x/2)

  (4, 6) ⇒ (3, 2)

Answer:

D.(3, 3)

Step-by-step explanation:

The equation of a straight line is given as:

y = mx + c;

where x, y are variables, m is the slope of the line, c is the y intercept.

From the graph, we can see that line 1 passes through (6,0) and (0,6).

The equation of line 1 is given as:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-0=\frac{6-0}{0-6} (x-6)\\\\y=-x + 6\ \ \ (1)[/tex]

Line 2 passes through (6, 5) and (0, 1)

The equation of line 2 is given as:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-5=\frac{1-5}{0-6} (x-6)\\\\y=\frac{2}{3}x + 1\ \ \ (2)[/tex]

To get the coordinates of the intersection of the two lines, we solve equation 1 and 2 simultaneously using a calculator. This gives:

x = 3, y = 3

Therefore the two lines meet at (3, 3)

Answer:

1: $11

2: $43.19

3: $128.57

Step-by-step explanation:

10 • 1.10 = 11

39.99 • 1.08 = 43.19

43.19 • 3 = 128.57