SCENARIO: ROAD CONSTRUCTION: Your state highway department hires high school students every summer to help with road construction projects. The hourly rate is $11.75 with the possibility of up to 10 hrs per week in overtime, for which you would be paid time and a half. Of course, the work is totally dependent on good weather, so the number of hrs you would work per week could vary. A road construction worker earns $11.75 per hour with up to 10 hours overtime. Write an equation, create a table, and create a graph for a road construction worker's weekly earnings with NO overtime, f(x), where x represents the total number of hrs the road construction worker would work. Is it Proportional or Non-proportional? Using the equation, table or graph, how much will a road construction worker earn for a typical 40 hr week​

Answer:

8.85

Step-by-step explanation:

2.3+3.75+1.4+1.4

Answer:

OK i am 13 and want to help but I am not sure how to do it but I think if you find a patter then divide it by 609 it might work

Step-by-step explanation:

The number of the terms will be 20 to get the sum of 609.

An arithmetic sequence is a series of numbers in which the difference between the next term to its previous term remains constant for the whole series. This difference is called a common difference.

Given sequence is -1, 2, 5,… the sum is 609.

The number of the terms will be calculated by using the sum formula;-

Sn = ( n / 2 ) [ ( 2a + ( n - 1 )d ]

609 = ( n / 2 ) [ ( 2 x -1 ) [ ( n - 1 ) x 3 ]

609 = ( n / 2 ) [ ( -2 + 3n - 3 ) ]

609 = ( n / 2 ) [ ( -5 + 3n ) ]

1218 = -5n + 3n²

3n² -5n -1218 = 0

n = 20

n = -21

Therefore, the number of the terms will be 20 to get the sum of 609.

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Answer:

I=prt,,60=400*0.05t,,t=3 ..................

this is what i got i hope it is use full to you <3

Step-by-step explanation:

Answer:

B/3

Step-by-step explanation:

yes dont ask. I KNOW ITS RIGHT

Answer:

-142

Step-by-step explanation:

So we have the function:

[tex]f(x)=-x^2-9x+20[/tex]

To find f(9), substitute x for 9:

[tex]f(9)=-(9)^2-9(9)+20[/tex]

Square the first term and multiply the second:

[tex]f(9)=-81-81+20[/tex]

Add:

[tex]f(9)=-142[/tex]

And that's our answer :)

Answer:

4n

Step-by-step explanation:

1. -7n-5n= -2n

2. -2n + 6= 4n

Answer:

-2 + 6

Step-by-step explanation:

Hopefully I helped :) Sorry if i didn't atleast i tried !

Answer:

Cierra and fionna

Step-by-step explanation:

because their under 0

and 0 is the school average

Answer:

B uWu

Step-by-step explanation:

Answer:

Length of the thread = 30 metres

Step-by-step explanation:

Length of the thread in one round of a reel = Circumference of the reel

                                                                    C = [tex]2\pi r[/tex]

Since radius of the reel = [tex]\frac{\text{Diameter}}{2}[/tex]

                                       = [tex]\frac{5}{2}[/tex]

                                       = 2.5 cm

Circumference of the reel = 2(π)(2.5)

                                           = 5π

                                           = 5×3

                                           = 15 cm

Length of the thread wound in one round around the reel = 15 cm

Since, thread is wound 200 times round a reel, length of the thread

= 200 × 15                                                      

= 3000 cm

≈ 30 metres

Therefore, Option (B) will be the answer.

Answer:

Where is the statement

Answer:

2/5x

Step-by-step explanation:

Step 1: Write out "two fifths" in number form

*This becomes a fraction*

2/5

Step 2: Write out "a number" in number form

*This is a variable*

x

Step 3: Combine "of a"

*This means multiply}

2/5x

Answer:

-1.65

Step-by-step explanation:

3.3/(-2)=-1.65

Answer:

21 or 21/1 or 42/2

Step-by-step explanation:

1. you need to change 1 1/2 to a uneven fraction

1 1/2 to 3/2

2. 3/2 * 14/1

3. Multiply across - 3/2 * 14/1 = 42/2

4.Then simplify: 21

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{21}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{1 \frac{1}{2} \times 14}[/tex]

Convert mixed fraction into improper fraction

⇒[tex] \sf{ \frac{2 \times 1 + 1}{2} \times 14}[/tex]

⇒[tex] \sf{ \frac{2 + 1}{2} \times 14}[/tex]

⇒[tex] \sf{ \frac{3}{2} \times 14}[/tex]

To multiply one fraction by another, multiply the numerators for the numerator and multiply the denominators for its denominator and reduce the fraction obtained after multiplication into lowest term

⇒[tex] \sf{ \frac{3 \times 14}{2 \times 1} }[/tex]

⇒[tex] \sf{ \frac{42}{2} }[/tex]

Divide 42 by 2

⇒[tex] \sf{21}[/tex]

Hope I helped!

Best regards!!

Answer:  It does not lie on the line m.

Step-by-step explanation:

First using the slope and the point find an equation in slope intercept form and plot in the coordinates (82,63) to see if it fits. If it fits then it lies on line m and if doesn't then it doesn't like  on line M.

The slope intercept formula is   y = mx +b   where m is the slope and b is the y-intercept, so we need to use the coordinates (-2,1) to find the y-intercept.

Plot the coordinates and the slope into the formula to solve for b.

1 = 3/4(-2) + b

 1 = -6/4 + b    

+6/4 +6/4  

  b = 10/4  

y = 3/4x + 10/4

63  = 3/4(82) + 10/4  

63 = 64    

Step-by-step explanation:

The Base of the triangle= 3+6=9 units

Altitude of the triangle=6-2=4 units

Hence, Area of a triangle= Base×Altitude ×1/2

Hence, Area of the abc = 9×4×1/2=18 unit^2

Answer:

Jeff added 52 grams more

Step-by-step explanation:

How much is 2/3 cup:

Jeff added 84 grams instead of 32 grams, so he added:

Answer:

work is pictured and shown

Domain: all real numbers

Answer:

Answer:One plane can be drawn so it contains all three points.

Step-by-step explanation:

Took the test :P

One plane can be drawn, so it contains all three points. Then the correct option is C.

Coordinate geometry is the study of geometry using the points in space.

Consider points R, S, and T. Point S is in the middle.

Point R is below and to the left of point S. Point T is below and to the right of point S.

Let the coordinate of the S is at origin that is (0, 0)

Then the coordinate of R and T with respect to S will be (-x, -y) and (x, -y).

One plane can be drawn, so it contains all three points.

Then the correct option is C.

More about the coordinate geometry link is given below.

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Answer: B. Definition of midpoint

The midpoint A cuts the line segment DW in half. So DW is cut into two pieces DA and WA, both of those smaller pieces are the same length.

Answer:

Yes circumference divided by ratio equals to pi

Answer:

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Answer: true

Step-by-step explanation:

ap3x

Answer:

20n² - 40n + 20

Step-by-step explanation:

(5n - 5)(4n - 4)

= 5n(4n) + 5n(-4) - 5(4n) - 5(-4)

= 20n² - 20n - 20n + 20

= 20n² - 40n + 20

Another way to do this:

(5n - 5)(4n - 4)

= 5(n - 1) * 4(n - 1)

= 20(n - 1)(n - 1)

= 20(n - 1)²

= 20(n² - 2n + 1)

= 20n² - 40n + 20

Answer:

Step-by-step explanation:

[tex]Sum\:of\:angles\:= 540\°\\\\b + (b+45)+90+(2b-90)+\frac{3}{2}b =540 \\\\Expand\: the \: brackets \\b\°+b\°+45\°+90+2b\°-90\°+\frac{3}{2} b=540\\\\Collect \:like\:terms\:and\:simplify\\b\°+b\°+2b\°+\frac{3}{2} b +45+90-90\°=540\°\\\\4b\° + \frac{3}{2} b\° +45\° = 540\°\\\\\frac{11}{2} b = 540\°-45\°\\\frac{11b}{2} = \frac{495}{1}\\ Cross\:Multiply\\11b = 49\°5\times 2\\11b = 990\°\\Divide \:both\:sides\:of\:the\:equation\:by \:11\\\frac{11b}{11} = \frac{990}{11}\\ \\b = 90\°[/tex]

Set of ordered pairs (x, y) could represent a linear function

B= {(-1,2), (2, 1), (5,0), (8, -1)}

Option B is correct

Linear function is a function whose graph is a straight line .

Slope of a line tells us how steep the line is . Slope of a line is same at all the points.

Slope formula is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Lets find out slope of any two points in each option

A = {(-6,3), (-3,0), (0, -3), (3,-5)}

[tex]\frac{0-3}{-3+6} =-1\\\frac{-5+3}{3-0} =-\frac{2}{3} \\[/tex]

Slopes are not same

Lets check the second option

B={(-1,2), (2, 1), (5,0), (8, -1)}

[tex]\frac{1-2}{2+1} =\frac{-1}{3} \\\frac{0-1}{5-2} =\frac{-1}{3} \\\frac{-1-0}{8-5} =\frac{-1}{3} \\[/tex]

The slope of any two points are equal .

slope are same . So it represents a linear function .

C = {(-4,-7), (-1, -3), (2.0), (5,3)}

[tex]slope =\frac{-3+7}{-1+4}=\frac{4}{3} \\slope =\frac{0+3}{2+1}=\frac{3}{3}=1[/tex]

Slopes are not same . So it is not a linear function

D = {(-5, -8), (-2,-4), (1,1), (4,6)}

[tex]slope = \frac{-4+8}{-2+5}= \frac{4}{3} \\Slope = \frac{1+4}{1+2}= \frac{5}{3} \\\\slope = \frac{6-1}{4-1}= \frac{5}{3} \\[/tex]

Slopes are not same . so it is not a linear function .

Option B is correct.

Learn more information about 'linear function' here

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Answer:

40 DEGREES COUNTERCLOCKWISE

140 DEGREES CLOCKWISE

Step-by-step explanation:

To get from frame one to frame two you can either rotate the object in a clockwise or anticlockwise direction.

We can use the edges of the rectangle to monitor the degree with which it is rotated.

If we rotate in a clockwise direction, it means that we are rotating from the left to the right; that is in the direction of the clock. If we are turning this way, we would have to turn the rectangle through 140 degrees to get it into frame 2's position

If we are rotating in the anticlockwise direction (against the direction of the clock) we are turning it from the right to the left. We will be turning it by only 40 degrees to get it into frame 2's position

Answer:

$260

Step-by-step explanation:

I've labeled where the vertex is and where the parabola should be. I recommended using this online calculator called desmos. Super useful!

Answer:

Rational numbers are; A, E, F, I

Integers are; H and D

Whole numbers are J and B

Natural numbers is G

Please find attached the location of the letters on the real number system

Step-by-step explanation:

Rational numbers are numbers that can be expressed as the ratio, a/b, of two numbers as a/b where a and b are integers

Integers are the negative and positive whole numbers

Whole numbers are the positive counting numbers from 0 and above

Natural numbers are the positive counting  numbers, sometimes including 0.

Answer:

1. c=20

2. d=3

3 a=4

4. b=9

5. 1. false 2. true

Answer:

729 ways

Step-by-step explanation:

Given

Number of questions = 6

Choices = 3

Required

Number of ways of answering the questions

For each of the 6 questions;

There are 3 possible ways of selecting an answer;

The possible ways for the 6 questions is:

[tex]Possible\ Ways = 3 * 3 * 3 * 3 * 3 * 3[/tex]

[tex]Possible\ Ways = 729[/tex]

Hence, there are 729 ways of answering the question

Answer:

Start with the parent function y=1/x^2.

Add 3 to x in the denominator, because the graph is shifted left 3. Add 1 to the fraction, because the graph is shifted up 1 unit.

Step-by-step explanation:

When a function is transformed, it means the function is either rotated, dilated, rotated or translated.

The equation of the function whose graph is sketched is:

[tex]f(x) = \frac{1}{(x + 3)^2} + 1[/tex]

The parent function is an inverse function of the form:

[tex]y = \frac 1{x^2}[/tex]

The parent function is shifted in two ways.

When a function is shifted to the left, the rule is:

[tex](x,y) \to (x + h,y)[/tex]

Where:

[tex]h \to[/tex] number of units.

So, we have:

[tex](x,y) \to (x + 3,y)[/tex]

The function becomes

[tex]y' = \frac{1}{(x + 3)^2}[/tex]

When a function is shifted up, the rule is:

[tex](x,y) \to (x ,y+b)[/tex]

Where:

[tex]b \to[/tex] number of units.

So, we have:

[tex](x,y) \to (x ,y+1)[/tex]

The function becomes

[tex]y'' = \frac{1}{(x + 3)^2} + 1[/tex]

So, the graph of the function in the given graph (see attachment) is:

[tex]f(x) = \frac{1}{(x + 3)^2} + 1[/tex]

Read more about transformations at:

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Answer:

12+5

Step-by-step explanation:

[tex] - ( - a) = a \\ 12 - ( - 5) = 12 + 5[/tex]

Answer:

12+5=17 ?

Step-by-step explanation: