It takes 10 workers 24 hours to do a job. How does y vary with x − directly or inversely? What is the coefficient of variation?

Answers

Answer 1
Final answer:

The total cost y varies directly with the number of hours x needed to complete a job, with a direct variation coefficient of 100.

Explanation:

When analyzing the variation between two variables, specifically how y varies with x, we consider whether the relationship is direct or inverse. In the scenario provided, where it takes 10 workers 24 hours to do a job, if we let x represent the number of hours it takes to get the job done and y represent the total cost to the customer, we can establish that as the number of hours increases, the total cost also increases, assuming workers are paid by the hour. This suggests a direct variation.

Given that widget workers receive $10 per hour, the cost y to the customer for x hours of work would be 10 workers × $10 per hour × x hours. So, y = 10 × 10 × x = 100x. Hence, the relationship between y and x is directly proportional with a coefficient of variation of 100.


Related Questions

you don’t need to tell me the answer, but could you tell me the formula on how to get the answer ?

Answers

Formula used: cos(x) = [tex]\frac{adjacent}{hypotenuse}[/tex]

Hope this helped!

~Just a girl in love with Shawn Mendes

what is the solution to this set of equations? show your work.

y=5x-9

y=x^2-3x+7

Answers

Answer:

MsEHolt Brainly Teacher

The y-coordinate of the solution is 11.

Both equations have y isolated.  We will use substitution for this system:

5x-9=x²-3x+7

We want to gather all of the variables on one side, so we will subtract 5x from each side:

5x-9-5x=x²-3x+7-5x

-9=x²-8x+7

We want the equation to be equal to 0 to solve it, so we will add 9 to both sides:

-9+9=x²-8x+7+9

0=x²-8x+16

This is easy to factor; factors of 16 that sum to -8 are -4 and -4:

0=(x-4)(x-4)

Since these are the same factor, we solve it to get our answer:

x-4=0

x-4+4=0+4

x=4

Substitute this into the first, linear, equation:

y=5(4)-9=20-9=11

Read more on Brainly.com - https://brainly.com/question/9222432#readmore

Step-by-step explanation:

i copied and psted by the way its a forum

Answer:

(4, 11)

Step-by-step explanation:

Given the 2 equations

y = 5x - 9 → (1)

y = x² - 3x + 7 → (2)

Substitute y = x² - 3x + 7 into (1)

x² - 3x + 7 = 5x - 9 ( subtract 5x - 9 from both sides )

x² - 8x + 16 = 0 ← in standard form

(x - 4)² = 0 ← in factored form

x - 4 = 0 ⇒ x = 4

Substitute x = 4 into (1) for corresponding value of y

y = (5 × 4) - 9 = 20 - 9 = 11

Solution is (4, 11)

What is the area of a circle if its circumference is 22n?

Answers

The answer is: Area 38.5

Helppppppppppppppppp!!!

Answers

Answer:

The answer is ± 5i

Evaluate the expression for x=4 and y=5 6(x2-y)-y2

Answers

Answer:

Step-by-step explanation:

6(4*2-5)-5(2)

= 6(8-5)-10

= 6(3)-10

= 18-10

= 8

-5x-3y=22 help plz ​

Answers

Answer:

(-2, -4)

Step-by-step explanation:

Put the coordinates of the points to the equation, and check it:

(-4, -1) → x= -4, y = -1

L = -5(-4) - 3(-1) =20 + 3 = 23

R = 22

L ≠ R

(-1, -4) → x= -1, y = -4

L = -5(-1) - 3(-4) = 5 + 12 = 17

R = 22

L ≠ R

(-2, -4) → x= -2, y = -4

L = -5(-2) - 3(-4) = 10 + 12 = 22

R = 22

L = R    CORRECT :)

(-4, -2) → x = -4, y = -2

L = -5(-4) - 3(-2) = 20 + 6 = 26

R = 22

L ≠ R

2. The price for pears is y = 2.75x. Which line would have the steepest slope if organic apples and

pears were added to the graph?


A.)organic apples

B.)pears

C.)regular apples

D.)We need more information to answer this question.

Answers

Answer:

Answer D

Step-by-step explanation:

We'd need more information to answer this question, namely, the unit price for organic apples.  Without this info there is nothing to compare.  Answer D

Steepness of a line is measured by its slope. For the considered case: Option D: We need more information to answer this question.

What is the slope of a straight line?

A straight line of the form [tex]y = mx + c[/tex] has its slope as 'm'

It is constant for a line. The more the slope is, the steeper the line is.

Sign convention takes bottom left to top right going line as positive sloped. And that line which goes from bottom right to top left is taken to have negative slope. Horizontal line has 0 slope and vertical line has infinite slope, as it is now at maximum steepness.

For the given case, we're not given the price of organic apples. If we assume that the price of organic apples is given by [tex]y = Ax[/tex] [tex]y = Px[/tex]

Then, if A > 2.75, then graph of organic apples is steeper, else if A < 2.75, then the graph of pears is steeper.

Otherwise, if A = 2.75 (which means price of pears = price of organic appples), then both are of same steepness.

Since we don't know A's value here, thus:

For the considered case: Option D: We need more information to answer this question.

Learn more about slope of a straight line here:

https://brainly.com/question/2503591

Look below at the image provided.

Answers

That would be angle 2. It is on the opposite of angle 7 and it is inside the two parallel lines

Hope this helped!

~Just a girl in love with Shawn Mendes

Use the Distributive Property to solve:

12(2 + 1)

Question 4 options:

a 36


b 24


c 25


d 30

Answers

Answer:

a:36

Step-by-step explanation: because (2+1) is in parentheses, you solve that first. 2+1=3 and 3x12=36

hope this helps!

Answer:

36

Step-by-step explanation:

This is beause 2+1 is 3 and 3 muliplied by 12 is 36 which is A

NEED HELP ASAP PLEASE I NEED HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
What makes something a classic in the world of music? If you google classical music, it’ll tell you it’s a really specific period in music history from about 1750-1820, but that’s not what I mean. I mean what makes something a “classic” work, piece, album, song, symphony, etc. in music. To some people it’s something that’s been around for a long time, and is still recognized as great and/or relevant. Others might think something can be a sort of instant classic if it shows enough worth right off the bat.
In paragraph form describe what you think makes something a classic, you should give at least 3 characteristics. You should also say whether or not you think your definition of a classic differs from the norm.

Answers

I'm not going to give you the answer but I'll help you.

Step-by-step explanation:

Start by writing down your thoughts down and then form them into a paragraph.

- Write down your opinion of what classic is

- Give 3 traits/characteristics that makes that thing classic (high-quality, timeless, aged, eternal, original etc.)

- Then write down whether or not you think your definition of classic is different from the googled definition

If you need more help let me know!

What is the length of a sticky note

Answers

Answer:

3x3 in.

Why did you need to know that?

Well, anyway...hope it helped anyway...

Step-by-step explanation:

Which statements are true for the functions g(x) = x2 and h(x) = -x2? Check all that apply.

Answers

ANSWER

See below

EXPLANATION

The given functions are:

[tex]g(x) = {x}^{2} [/tex]

and

[tex]h(x) = - {x}^{2} [/tex]

The following statements are true;

h(x) is the reflection of g(x) in the x-axis.

g(x) opens upwards while h(x) opens downwards

Both functions have their vertex and intercepts at the origin.

The x-axis is a tangent to both functions at x=0.

g(x) has a minimum point

h(x) has a maximum point.

Answer:

For any value of x, g(x) will always be greater than h(x).

For any value of x, h(x) will always be greater than g(x).

g(x) > h(x) for x = -1. TRUE

g(x) < h(x) for x = 3.

For positive values of x, g(x) > h(x). TRUE

For negative values of x, g(x) > h(x). TRUE

Step-by-step explanation:

answer on edge

The equation of a line is y=-3x - 2. What are the slope and the y-intercept of the line?
A.
slope = -3 and y-intercept = 2
B.
slope = 3 and y-intercept = -2
C.
slope = 3 and y-intercept = 2
D.
slope = -3 and y-intercept = -2

Answers

D, because everything in front of the x is the slope and everything after the x is the y- intercept

Answer:

The correct answer is (D) slope=-3 and y-intercept=-2

Step-by-step explanation:

MP.2 Reasoning
A farmer wants to build a straight fence with a post every 7 feet.
Each end has a post. For a fence that is 49 feet long, how many
posts will the farmer need?
1. Describe the quantities given.
2. Tell how you can show the relationships in the problem.
3. Solve and explain your reasoning.​

Answers

Answer:

8 posts.

Step-by-step explanation:

There are  7 lengths of  7 feet in 49 feet.

That is 7 posts but there is a post at each end so the number required = 7 + 1 = 8 posts.

Why do althletes stretch before a game

Answers

Answer:

so they dont get cramps or chairly horses

Step-by-step explanation:

Answer:

Here's the reasons why it's important to stretch before and after a workout. When it comes to pre-workout stretching, stretching before a workout helps your body to become more pliable, which decreases your risk for injury. ... The main muscles groups used during the session are the ones that need to stretch. And sometimes for example middle splits you might need to repair your hips to fake one because you didn't stretch to open the muscles up first not force them

Step-by-step explanation:

I hope you understood it. Good Luck

Please mark me brainliest please!!

This is due in 15 minutes help
All 3 answers!!!

Answers

Answer:

Part 1) The measure of the exterior angle is 128°

Part 2) The measure of angle x is 30°

part 3) The value of x is 25 units

Step-by-step explanation:

Part 1)

step 1

Find the measure of the third internal angle of the triangle

Remember that the sum of the internal angles of a triangle must be equal to 180 degrees

Let

c----> the measure of the third internal angle

42+(9x-4)°+c°=180°

c=180°-42°-9x+4°

c=142°-9x

step 2

Find the value of x

we know that

c+(12x+8)°=180° ----> by supplementary angles

substitute

142°-9x+(12x+8)°=180°

3x=30°

x=10°

step 3

Find the measure of the exterior angle

(12x+8)°=(12(10)+8)°=128°

Part 2) Find the value of x

The figure show a equilateral triangle ( has three equal internal angles and three equal sides)  and an isosceles triangle ( has two equal internal angles and two equal sides)

Remember that

The internal angles of a equilateral triangle is 60 degrees

so

The vertex angle of the isosceles triangle is equal to

180°-60°=120° ----> by supplementary angles

therefore

The base angle of the isosceles triangle is equal to

2x+120°=180°

2x=60°

x=30°

Part 3) we know that

if AB is a midsegment

then

(4x-10)/2=45

solve for x

4x-10=90

4x=100

x=25 units

Find the distance between (-3, 0) and (2, 7). Round to the nearest hundredth.
17. The distance between (2, 1) and (n, 4) is 5 units. Find all possible values of n.

Answers

Answer: I can help you with the first one.

Step-by-step explanation:

First, here is the formula D=(x2-x1)2+ (y2-y1)2 so you would plug the numbers in and get D= (0-(-3))^2)+(7-2)^2 now you would solve that and get 34 now you find the square root of 34 is the answer is 5.8

Hope that helps                  

A recipe to make 4 pancakes calls for 6 tablespoons of flour. Tracy wants to make 10 pancakes using this recipe. What equation will she need to use to find out how many tablespoons of flour to use​

Answers

She would be multiplying. If you send me the answers I can give you a better explained answer?

YO DOWGS HELP ME!!!!!!!!!

Answers

recall that an absolute value expression is in effect a piece-wise with a ± version.

[tex]\bf |x-1| > 2\implies \begin{cases} +(x-1)>2\implies x-1>2\\\\ ~\hfill x>3\\ \cline{1-1} -(x-1)>2\implies x-1\stackrel{\downarrow }{<}-2\\\\ ~\hfill x<-1 \end{cases}[/tex]

Check the picture below.

Answer:

|x - 1| > 2

Step-by-step explanation:

[tex]x< -1\ or\ x>3\\\\\dfrac{-1+3}{2}=\dfrac{2}{2}=1\\\\x<-1\ or\ x>3\qquad\text{subtract 1 from all sides}\\\\x-1<-2\ or\ x-1>2\to|x-1|>2[/tex]

7. The bottom of a circular swimming pool
with a diameter of 36 feet is painted blue.
How many square feet are blue?

Answers

Hello!

The answer is:

1017.88 square feet are blue.

Why?

To calculate how many square feet are blue, we need to calculate the area of the bottom of the circular swimming pool.

We need to remember that we can calculate the area of any circle using the following formula:

[tex]Area_{circle}=\pi radius^{2}[/tex]

Now, we know that the diameter of the bottom is equal to 36 feet, so, we can calculate the radius of the bottom using the following formula:

[tex]diameter=2radius\\\\radius=\frac{diameter}{2}[/tex]

So,

[tex]radius=\frac{36feet}{2}=18feet[/tex]

Then, calculating the area we have:

[tex]Area_{bottom}=\pi radius^{2}=\pi 18ft^{2}=1017.88ft^{2}[/tex]

Hence, we have that 1017.88 square feet are blue.

Have a nice day!

How to solve 1/3(12-9y) step by step

How to solve 1/4(-16x+8) step by step both are separate questions

Answers

Answer:

4-3y and 2−4x

Step-by-step explanation:

Use the distributive property to multiply 1/3  by 12−9y.

1/3⋅12+1/3 (−9)y

Multiply 1/3  and 12 to get 12/3.

12/3+1/3 (−9)y

Divide 12 by 3 to get 4.

4+1/3 (−9)y

Multiply 1/3  and −9 to get (−9)/3.

4+(−9)/3 y

Divide −9 by 3 to get −3.

4−3y

Use the distributive property to multiply 1/4  by −16x+8.

1/4 (−16)x+1/4⋅8

Multiply 1/4  and −16 to get (−16)/4.

(−16)/4 x+1/4⋅8

Divide −16 by 4 to get −4.

−4x+1/4⋅8

Multiply 1/4  and 8 to get 8/4.

−4x+8/4

Divide 8 by 4 to get 2.

−4x+2  

Final answer:

The expressions 1/3(12-9y) and 1/4(-16x+8) are simplified by distributing the fractions over each term inside the parentheses, resulting in the simplified forms 4 - 3y and -4x + 2, respectively.

Explanation:

To solve the two separate algebraic expressions given, we'll perform operations step by step.



Solution for 1/3(12-9y):


 First, distribute 1/3 to both terms inside the parenthesis: 1/3 * 12 - 1/3 * 9y.
 Perform the multiplication: 4 - 3y.
 The simplified expression is 4 - 3y.



Solution for 1/4(-16x+8):


 Distribute 1/4 to both terms inside the parenthesis: 1/4 * -16x + 1/4 * 8.
 Perform the multiplication: -4x + 2.
 The simplified expression is -4x + 2.

Note that these are not equations with equals signs, so we cannot 'solve for y or x' in the traditional sense; we merely simplified the expressions.

Find the inverse of the function. f(x) = {(3, 4), (4, 3), (-2, 6)}

Answers

Answer:

f^-1(x) = {4,3), (3,4), (6,-2)}

Step-by-step explanation:

To find the inverse of the function, exchange the x and the y

f(x) = {(3, 4), (4, 3), (-2, 6)}

f^-1(x) = {4,3), (3,4), (6,-2)}

With the process and explanation in details

Answers

Answer:

13

Step-by-step explanation:

the quadratic formula will be used to solve the equation x²-3x-1=0

x = -b±√b²-4ac

          2a

b= -3, a= 1, c= -1

x =   --3±√3²-4*1*-1

             2*1

x =  3±√9+4

          2

x =  3±√13

         2

x₁ = 3 + √13

        2

x₂ = 3 - √13

          2

x₁² + x₂² - 2x₁x₂

22 + 6√13 + 22 - 6√13   + 2

     4                    4

22 + 6√13 + 22 - 6√13 + 8   = 52/4 =13

        4

Which statement would best describe the graph of the function

Answers

Answer:

A; The graph has a slope of 6.

Step-by-step explanation:

A; True

B; The y value changes with the x

C; Has a steady slope of 6

D; You cant tell if this is a parabola

Answer:

The graph is a straight line that has a slope of 6.

Step-by-step explanation:

Remember that the slope represents the constant ratio of variation. In other words, is the number that variates the relation between variable.

So, the given table represents a proportional relationship, because you can observe that x-variable changes one unit, while y-variable changes 6 units. In other words, while y-variable changes 6 units, x-variable changes 1 unit, that's a proportional relationship, and its ratio is

[tex]m=\frac{y}{x}=\frac{6}{1}=6[/tex]

This means the proportional relationship has a slope of 6.

Therefore, the right answer is the first choice.

Remember that proportional relationships are represented by a straight line, where the slope is the constant of variation.

PLEASE PLEASE HELP ME ANSWER THIS ​

Answers

Answer:

A

Step-by-step explanation:

segment cd is the only line that passes through and meets at a right angle

If x−y=3 and x+y=5, what is the value of y?

Answers

Answer: the value of y is 1. If needed, the value of x is 4.

Step-by-step explanation:

See paper attached. (: I went ahead and solved for x too, just in case.

Please help I'm stuck on this :(

Answers

Answer:

See the picture below for the graph.

To solve the given system of equations, we have to find the intersecting point of the two lines.

As shown in the picture below, the intersecting point is (3, -1).

Therefore, x = 3 and y = -1.

Answer:

Step-by-step explanation:

y = -x + 2

2x - y = 7

I think you would benefit from graphing these equations yourself and then identifying the coordinates of their intersection.  To help you get started out:

Line 1:  Here the slope is -1 and the y-intercept is 2.  Plot a dark dot at (0, 2).  Now, starting with your pencil point on that dot, move 1 unit to the right and from this new location move 1 unit down.  Plot another dark dot there.  Now draw a line through these two dots.

Line 2:  2x - y = 7 when solved for y is   y = 2x - 7, which has a slope of 2 and y-intercept of -7.  Plot a dot at (0, -7).  From that point, move 1 unit to the right and from this new location move 7 units down.  Plot another dot there.  Draw a line thru these two dots.

Identify the coordinates of the point of intersection of these two lines.  For your reference I will find the solution using elimination by addition and subtraction.  Rewrite 2x - y = 7 as y = 2x - 7:

y = 2x - 7

y = -x   +2

--------------     SUBTRACT the second equation from the first, obtaining:

0  = 3x - 9.  Then 3x = 9 and x = 3.  Subbing 3 for x in y = 2x - 7, we get y = 2(3) - 7, or y = -1.

The two lines intersect at the point (3, -1).

Complete the square
x2 - 6x +____
7 = -13+____

Answers

Answer:

see explanation

Step-by-step explanation:

Given

x² - 6x + 7 = - 13

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 3)x + (- 3)² + 7 = - 13 + (- 3)²

x² - 6x + 9 + 7 = - 13 + 9

(x - 3)² + 7 = - 4

Answer:

x^2 - 6x+ __9__= -13 + __9__

Step-by-step explanation:

e2020

.
A ball is thrown into the air with an initial velocity of 80 ft/sec. The height of the ball after t seconds in the air is given by h(t) =-16t^2 + 80t + 96.How long will it take for the ball land on the ground? (When will the height equal 0?)

Answers

Answer:

[tex]t= 6\ s[/tex]

Step-by-step explanation:

We know that the equation that models the height of the ball as a function of time is [tex]h(t) = -16t ^ 2 + 80t + 96[/tex].

Where the initial speed is 80 feet.

When the ball lands on the ground, its height will be [tex]h(t) = 0[/tex].

So to know how long it will take the ball to reach the ground, equal h (t) to zero and solve for t.

[tex]-16t ^ 2 + 80t + 96 = 0[/tex]

To solve this quadratic equation we use the quadratic formula.

For an equation of the form:

[tex]at^2 +bt +c[/tex]

The quadratic formula is:

[tex]t=\frac{-b\±\sqrt{b^2 -4ac}}{2a}[/tex]

In this case

[tex]a =-16\\b = 80\\c =96[/tex]

Then

[tex]t=\frac{-80\±\sqrt{80^2 -4(-16)(96)}}{2(-16)}[/tex]

[tex]t_1=-1\\\\t_2=6[/tex]

We take the positive solution

[tex]t= 6\ s[/tex]

Answer:

After 5 seconds

Step-by-step explanation:

Have a great day

The bases of a trapezoid are 16.8 yards and 6.9 yards. If the height is 2 yards, what is the area of the trapezoid?

a- 9.9 yd2
b- 19.8 yd2
c- 23.7 yd2
d- 47.4 yd2

Answers

Answer: option c

Step-by-step explanation:

You need to use this formula:

[tex]A=\frac{h}{2}(B+b)[/tex]

Where "h" is the height of the trapezoid, "B" is the larger base and "b" is the smaller base.

You know that:

[tex]B=16.8yd\\b=6.9yd\\h=2yd[/tex]

Then you need to substitute these values into the formula  [tex]A=\frac{h}{2}(B+b)[/tex].

Therefore, the area of this trapezoid is:

 [tex]A=\frac{2yd}{2}(16.8yd+6.9yd)[/tex]

 [tex]A=23.7yd^2[/tex]

Answer:

23.7 yd2

Step-by-step explanation:

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