one out of every 9 light bulbs is defective. What constant of proportionality relates defective bulbs to total bulbs?

The solution to the equation is f = 75.

The initial charge or setup cost is represented by the intercept or f.

Given equation: 270 = f + 6.50(30)

We must identify the equation's solution and explain what it represents in this situation.

The equation above is written in the form of a slope-intercept function where 6.50 is the gradient or slope of the function and 30 equals the number of shirts. The total cost of printing is 270.

The equation 270 = f + 6.50(30) can be solved as follows:

270 = f + 6.50(30)

⇒ f = 270 - 195 = 75

Therefore, the initial charge or setup cost is represented by the intercept or f. As a result, the setup fee is 65.

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Answer:

n= -3

Step-by-step explanation:

The solution is attached

The y-intercept is (0, 1).

Substituting [tex]x=-3[/tex] yields [tex]f(x)=-\frac{1}{3}(-3)+1=2[/tex].

So, draw the line through (0, 1) and (-3, 2).

diameter = 13.93771776cm

Answer:

let y represent number of months in a row and

let S represents sum of letters that have been sent in y number of months

This simply means that we can write equation:

14*y = S

For any number of months we express it in equation above and we get total number of letters she wrote.

Answer:

[tex]{ \sf{total = 14n \: \: letters}}[/tex]

Answer:

median = 9

range = 5

mode = 7

Step-by-step explanation:

median = 9 is in the middle of 10 and 8

range = 12 - 7

mode = there are 3 7s

Mode : the quantity that appears the most in a sequence
Because 7 is the number that appears the most ( 3 times ), it is the mode.

Range : the difference between the largest number and the smallest number
In this case, 12 is the biggest and 7 is the smallest -> Range = 5.

Median : the "middle number" (for example, if the sequence has 7 numbers, the 4th number will be the median. if the sequence has 8 numbers, the median will be the average of the 4th and 5th number, and of course from increasing order.)
There are 8 numbers in the sequence, from lowest to highest : 7,7,7,8,10,11,12,12.

So, the median = (8+10)/2 = 9.

Answer:

Step-by-step explanation:

Show that (a-b)(a+b)+(b-c)(b+c)+(c-a)(c+a)=0

(a−b)⋅(a+b)+(b−c)⋅(b+c)+(−a+c)⋅(a+c)=0

(a^2−b^2)+(b^2−c^2)+(−a^2+c^2)=0

(a^2−c^2)+(−a^2+c^2)=0

0=0

this equation is always true

[tex]\left(a-b\right)\left(a+b\right)+\left(b-c\right)\left(b+c\right)+\left(c-a\right)\left(c+a\right)=0[/tex]

[tex]\left(a-b\right)\left(a+b\right)+\left(b-c\right)\left(b+c\right)+\left(c-a\right)\left(c+a\right)-\left(b-c\right)\left(b+c\right)=0-\left(b-c\right)\left(b+c\right)[/tex]

[tex]\left(a-b\right)\left(a+b\right)+\left(c-a\right)\left(c+a\right)=-\left(b-c\right)\left(b+c\right)[/tex]

[tex]\left(a-b\right)\left(a+b\right)+\left(c-a\right)\left(c+a\right) = a^2-b^2+\left(c-a\right)\left(c+a\right) =a^2-b^2+c^2-a^2 =-b^2+c^2[/tex]

[tex]-\left(b-c\right)\left(b+c\right) =-\left(b^2-c^2\right) =-b^2-\left(-c^2\right) =-b^2+c^2[/tex]

[tex]-b^2+c^2=-b^2+c^2[/tex]

[tex]0=0[/tex]

It is always true because 0=0.

Answer: 44 miles

Step-by-step explanation: any percentage can be written as a decimal. for example, 50% is 0.50 or 25% is 0.25. in this case, 100 percent is 1.00. now that we know what 100 percent is, we multiply 44 by 1.00(100%). my old math teacher told me that whenever you have something OF something, you multiply them togethor. in other words, of means times. this problem can be written 1.00 times 44.

Answer:

$29

Step-by-step explanation:

First you divide 290.44 by 10 which would equal 29.044, then you would round both 4's down to 0 which would get you $29.

The side length of the square that provides a counterexample to the statement square units in the area of a square is greater than or equal to the number of units in the perimeter is 2 Units.

A square is a kind of a 2D figure in which all the sides are equal.

We know that the absolute perimeter of a square is the sum of the lengths of all the total sides and as we see the area of a square is (side)².

Assuming that the whole square has four units completed for each side.

The square's circumference can be calculated as is 4 sides plus 4 fours, or as seen as 16 units.

Now the area of the square will be calculated as (4) ² = 16 sq units.

Now assuming that the total side length of the square about is 2 units.

The square's perimeter is calculated as (24) = 8 units, while its total area is calculated as (22) = 4 units.

∴ 2 units make up the side length that serves as a counterexample.

Basically, herein we have to determine the absolute numbers that when are multiplied by 4 are seen to be greater than it's square such numbers are 1, 2, 3.

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Yes, the provided relation is, indeed, a function. Each x value has just one y value.

In the given table,

x         y  

-1         -2

2          3

3         1

6         -2

A relationship is a function if each x-value has its y-value.

In the relationship, each x-value has a unique and unique y-value. For example, a value of -1 is -2, a value of 2 is 3, a value of 3 is 1, and a value of 6 is -2.

Although the inclusion of (-1,-2) and (-3) suggests that this is not a one-to-one or infusion function of (6,-2).

As a result, the given relationship is a function. Each x-value has only one y-value.

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Answer:

(150*85)*0.9

=12750*0.9

=11475

Answer:

11475

Step-by-step explanation:

((50+50+50)*85)*0.9=

(150*85)*0.9=

12750*0.9=

11475

Answer:

Step-by-step explanation:  : f(x) = 4x² + 3x – 7f(-2) = 4(-2)²+3(2)-7f(-2) =16+6-7 =32-7 = 25.

Answer:

Sarah=x

Lea=3x-4

Rachel=1/2x-3

Amanda=2x+1

Sum=46

x+3x-4+1/2x-3+2x+1=46

6.5x-6=46

6.5x=52

x=52/6.5x

x=8

input x in each sister's age:

Sarah= 8 years

Lea = 3(8)-4=20 years

Rachel = 1/2(8)-3=1 year

Amanda = 2(8)+1=17years

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

9x+y=11 .....(1)

-6x-y=-8 ....(2)

Add equation 1 to equation 2

-6x+9x -y+y =-8+11

3x=3

Divide both sides by 3

3x/3=3/3

Answer:

he will receive $2.51

Step-by-step explanation:

The values are |-3.25| = 3.25  and  |-4.25| = 4.25

The expressions are given as

|-3.25| and |-4.25|

The above expressions are absolute value expressions

And as a general rule, an absolute value expression, when evaluated must follow the following rule

|±a|  = a

Using the above as a guide, we have

|-3.25| = 3.25

Also, we have

|-4.25| = 4.25

Hence, the values of the expressions are |-3.25| = 3.25  and  |-4.25| = 4.25

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Answer:

Undefined

Step-by-step explanation:

The x-coordinates are ths same, so this is a vertical line. Vertical lines have undefined slope.

Answer:

+

Step-by-step explanation:

[tex]-8-(-3)=-8+3[/tex]

Using a proportional relationship, we have that:

A direct proportional relationship is a function in which the output variable is found with the multiplication of the input variable and the constant of proportionality k, as follows:

y = kx.

From the table in this problem, the constant is given as follows:

k = 240/5 = 48/1 = 48.

Hence the relationship is:

y = 48x.

Then:

For 300 pencils, the number of boxes is given by:

48x = 300

x = 300/48

x = 6.25.

There are not decimal parts of a box, a complete box is needed, hence 7 boxes are needed, meaning that 6 boxes are not enough for 300 pencils.

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Answer:

3:12 is equivalent 4:16

Step-by-step explanation:

5:8 = 0.625

3:12 = 0.25

15:32 = 0.48...

and 4:16 is 0.25, equal to 3:12

:]

(Brainliest would help a lot) Tell me if this is incorrect!

For given parabola 2x² - 8y = 0,

the axis of symmetry : y-axis

focus : (0, 1)

directrix : y = -1

In this question, we have been given an equation of parabola 2x² − 8y = 0

We need to graph the parabola and identify the axis of symmetry, focus, and directrix.

2x² - 8y = 0

2x² = 8y

x² = 8y/2

x² = 4y

The graph of the parabola  x² = 4y is as shown below.

From this graph, the vertex is (0, 0)

We know that, for a parabola of the form x² = 4ay, the focus is (0, a) and directrix is y = -a

For the parabola  x² = 4y, a = 1

So, the focus is (0, 1) and the directrix is y = -1

And the axis of symmetry for the parabola x² = 4y is the y-axis.

Therefore, for given parabola 2x² - 8y = 0,

the axis of symmetry : y-axis

focus : (0, 1)

directrix : y = -1

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Gabi is correct to say that the rectangle will be enlarged when it will be dilated by a scale factor of 3/2.

As it is given that the rectangle BCDE is dilated by the scale factor of 3/2 which is more than 1, so the rectangle will expand or enlarge.

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The complete question is: "Rectangle BCDE will be dilated by a scale factor of 3/2.

Gabe says the rectangle will be reduced.

Gabi says the rectangle will be enlarged."

Answer:

Correct

Step-by-step explanation:

Surface area of a sphere = 4 pi r^2  

   diameter = 28    then r = 14 ft

4 (pi)(14^2) = 2463  ft^2        

    looks correct for your value of pi =3.14

The most appropriate choice for function and subtraction of function will be given by-

(r-c)(x) = [tex]4x^2-8x-25[/tex]

What is function and subtraction of function?

A function from A to B is a rule that assigns to each element of A a unique element of B

A is the domain set and B is the co-domain set.

Subtraction of function

Suppose f(x) and g(x) are two functions. Then

(f - g)(x) = f(x) - g(x)

Here,

r(x) = [tex]4x^2 + 2x[/tex]

c(x) = [tex]10x+25[/tex]

(r-c)(x) = r(x) - c(x) = [tex](4x^2+2x)-(10x +25)[/tex]

                            = [tex]4x^2+2x -10x-25[/tex]

                            = [tex]4x^2-8x-25[/tex]

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Here is the answer

I hope it helped you