A plant can manufacture 50 golf clubs per day at a total daily cost of $4671 and 70 golf clubs per day for a total cost of $5871.
(A) Assuming that daily cost and production are linearly related, find the total daily cost, C, of producing x golf clubs.
(B) Graph the total daily cost for 0≤x≤ 200.
(C) Interpret the slope and y intercept of the cost equation.
(A) C =
(Simplify your answer. Use integers or fractions for any numbers in the oxpropion

Answers

Answer 1

The function C(g) that represents the total daily cost, C, of producing x golf clubs is C = 1671 + 60g

What is linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

A plant can manufacture 50 golf clubs per day at a total daily cost of $4671 and 70 golf clubs per day for a total cost of $5871.

Let's suppose x is the fixed cost and y is the variable cost.

4671 = 50y + x …(1)

5871 = 70y + x …(2)

1200 = 20y

y = 60

x = 1671

Total cost:

C(g) = 1671 + 60g

g is the number of golf per day.

Slope = 60

y- Intercept = 1671 (from the graph)

Thus, the function C(g) that represents the total daily cost, C, of producing x golf clubs is C = 1671 + 60g

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1

A Plant Can Manufacture 50 Golf Clubs Per Day At A Total Daily Cost Of $4671 And 70 Golf Clubs Per Day

Related Questions


Think about triangles that have
a perimeter of 15cm,
two or more equal sides,
and each side a whole number of centimetres.
Prove that there are only four of these triangles. i

Answers

In order to prove that there are only four of these triangles, we need to first   restate the formula for the perimeter of a triangle which is given as:  P = a + b + c. Hence, we must identify all the triangles that have two or more equal sides, and each side is a whole number.

What is the proof?

Step 1 - First, we state all the possible combination three whole numbers which when added together result in fifteen.

The numbers are given as:

1 1 132 2 113 3 94 4 75 5 56 6 37 7 1

Step 2 -  Eliminate options where a side is more than the sum of the other two sides

Hence,

1 1 132 2 113 3 9

are eliminated. The remaining triangles are four in number.

QED.

Learn more about triangles at:

https://brainly.com/question/17335144

#SPJ1


Astrid travels 130 km in 2 hours and then at 85 km/h for another 3 hours to reach her
destination. On the return journey home, she travels a total of 5 hours.
Determine the speed of the car that Astrid will travel to get home.

Answers

Answer:

[tex]\huge\boxed{\sf Speed = 77\ km/hr}[/tex]

Step-by-step explanation:

Formula to be used in the question:Speed = Distance / TimeDistance for the first 2 hours:

= 130 km

Distance for the next 3 hours:

Speed = 85 km/h

Time = 3 hours

So,

Distance = Speed × Time

Distance = 85 × 3

Distance = 255 km

So,

Total distance from home to destination:

= 130 + 255

= 385 km

Speed on the return journey:

Total distance = 385 km

Time = 5 hours

Speed = Distance / Time

Speed = 385 / 5

Speed = 77 km/hr

[tex]\rule[225]{225}{2}[/tex]

PLEASE HELP ASAP <3
Evaluate: 23+x/8 for x = 8
O 24
O 3.875
O 20
O 18

Answers

Answer:

Your first step would be to rewrite the equation, were x =8 so it would look like this

Step-by-step explanation:

23 + 8/8 = ?

than solve. 8/ 8 = 1 and 23+1 = 24

A trellis consists of overlapping wooden slats.

1.What is the position of the indicated angles?

2.What should the value of x be in order for the two slats to be parallel?

3. Which theorem or postulate will you use to prove the parallel slats?

4. Find the measure of the indicated angle.

Answers

The value of x  in order for the two slats to be parallel is 6.

The measure of the indicated angle is 42°

What is an angle?

The angle is the measure of how inclined are the two surfaces, or lines with respect to each other.

For the slats to be parallel. both the given angles must be equal

So,

(3x +24)° = 7x°

Solving this expression, we get

7x -3x = 24

4x =24

x = 6°

The measure of the indicated angle is

(3x +24)° = 3x6 +24

(3x +24)° = 18+24

(3x +24)°  =42°

and 7x = 7x6 =42°

Thus, the measure of the angle is 42°

Learn more about angle.

https://brainly.com/question/13954458

#SPJ1

NEED ASAP PLS HELP

given: XZ WY, WXZ and YXZ are right triangles. Step 1: cos(W)=WZ/y; ycos(W)=Wz. Which step contains the first error in calculation

Answers

The sine ratio that was applied in step 2 is incorrect, therefore, the first error is in: B. step 2.

How to Apply the Sine Ratio?

The sine ratio that is applied when we want to solve a right triangle is, sin ∅ = opposite length / hypotenuse length.

In step 2, the sine ratio applied is wrong because:

∅ = WOpposite length = XZHypotenuse length = y

Thus, we should have:

sin(W) = XZ/y

The first error is in: B. step 2.

Learn more about the sine ratio on:

https://brainly.com/question/2920412

#SPJ1

Alice weighs 20 dogs and 20 cats. The mean weight for the dogs is 32kg and the mean weight for cats is 4kg. The range in weight for dogs is 45kg and the range in weight for cats is 0.5kg. State two conclusions you can draw from this information.

Answers

With the mean and range, we can estimate the weights of the smallest and largest animals in each group.

For cats the interval is [ 3.75kg, 4.25kg] and for dogs is [9.5kg, 54.5kg]

Which conclusions can be made with the given information?

We know that the mean weight for cats is 4kg, and the range (difference between the largest value and smallest value) is 0.5kg.

From that, we can conclude with some confidence (but not exactly), that the largest cat weights 4kg + 0.5kg/2 = 4.25kgAnd the smallest cat weights 4kg - 0.5kg/2 = 3.75kg

(Assuming a normal distribution).

Similar for the dogs, the mean weight is 32kg and the range is 45kg, then:

The largest dog weights 32kg + 45kg/2 = 54.5kgThe smallest dog weights 32kg - 45kg/2 = 9.5kg

(again, assuming a normal distribution).

If you want to learn more about means and ranges:

https://brainly.com/question/14532771

#SPJ1

What is m/D?
118°
B
87°
A
D
23/24-
A
12

Answers

Answer:

[tex]62^\circ[/tex]

Step-by-step explanation:

This is a cyclic quadrilateral (all points of the quadrilateral are on the circle), meaning opposite angles are supplementary (add up to [tex]180^\circ[/tex]).

[tex]\angle D[/tex] is opposite [tex]\angle B[/tex], which is equal to [tex]118^\circ[/tex]. This means [tex]\angle D[/tex] is equal to [tex]180^\circ - 118^\circ[/tex], which is [tex]\boxed{62^\circ}[/tex].

Find the equation of the line through the points (-2,4) and (3,-5) using point-slope form. Then rewrite the equation in slope-intercept form.

Answers

[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{-5}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-5}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{(-2)}}} \implies \cfrac{-5 -4}{3 +2}\implies \cfrac{-9}{5}[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{-\cfrac{9}{5}}(x-\stackrel{x_1}{(-2)})\implies y-4=-\cfrac{9}{5}(x+2) \\\\\\ y-4=-\cfrac{9}{5}x-\cfrac{18}{5}\implies y=-\cfrac{9}{5}x-\cfrac{18}{5}+4\implies y=-\cfrac{9}{5}x+\cfrac{2}{5}[/tex]

2x-y=7
x+y=5

Use elimination


Answers

Answer:  (x,y) = (4,1)

In other words,  x = 4 and y = 1

==============================================

Explanation:

Add the equations straight down.

The x terms add to 3x because 2x+x = 3xThe y terms go away when you add them since -y+y = 0y = 0The terms on the right hand sides add to 7+5 = 12

After those three sets of adding terms, we end up with 3x = 12. This solves to x = 4 when you divide both sides by 3.

Use this x value to find y.

2x-y = 7

2(4)-y = 7

8-y = 7

-y = 7-8

-y = -1

y = 1

or

x+y = 5

4+y = 5

y = 5-4

y = 1

Your best best is probably to use the second equation, but it doesn't hurt to have practice with both equations. Getting the same y value helps confirm we have the correct x value.

Therefore, the solution is the ordered pair (x,y) = (4,1). Meaning that x = 4 and y = 1 pair up together.

Visual confirmation can be done by using a graphing tool like Desmos. The two lines intersect at (4, 1). See below.

Simplify as far as possible without a calculator.
3√7(2√2+4√7)

Answers

Answer:

[tex]6 \sqrt{14} + 84[/tex]

Step-by-step explanation:

distribute 3√7 by multiplying to each term In parenthesis

3√7×2√2+3√7×4√7

6√14+12√49

6√14+12(7)

6√14+84

6√14 + 84

or

106.449944321

Step-by-step explanation:

have √7 behave like a variable like x

have √4 behave like a variable like y

3√7(2√2+4√7)

(3√7*2√2)+ (3√7*4√7)

6√14 + (12*7)

6√14 + (84)

6√14 + (6 * 14)

10 + (2 x 3)2 ÷ 4 × 1 over 2 to the power of 3

Answers

Answer:

1.4375

Step-by-step explanation:

[tex]\frac{10 + (2 x 3)^{2} / (4)(1)}{2^{3}} \\[/tex]

[tex]\frac{10 + (6)^{2} /4}{8} \\[/tex]

[tex]\frac{10 + 36 / 4}{8} \\[/tex]

[tex]\frac{46 /4}{8} \\[/tex] = [tex]\frac{11.5}{8} \\[/tex]

Are the equations 1/2x-8=9 and x-8=18 equivalent?​

Answers

Answer:

not equivalent

Step-by-step explanation:

solve for x to see if they are equivalent

1/2x-8=9 and x-8=18

1/2x=17

x=34

x-8=18

x = 36

no they are not equivalent

1/2x-8=9
1/2x=17
X=16 1/2

X-8=18
C=26
No

I'm pretty sure it is, but it just seems so onesided so I wanted to make sure, is this correct?

Answers

That’s right I solved it and got the same answer

Guys please can you help with this question i dont get it at all. 10 x (-8)

Answers

Answer:

80 maybe no ummm udk sorry I might

Step-by-step explanation:

I got you I think

Which graph represents the solution set for the system 2x + 5y ≤ 9 and 3x + 5y ≤ 9? A. graph A B. graph B C. graph C D. graph D

Answers

Answer:

c is the answer to the question

A student claims that tan^2 0+1 = sec^2 0 can be converted to sin^2 0 + cos^2 0 = 1. which sequence of steps supports this claim?

Answers

Students claim is correct. We can convert tan²θ + 1 = sec²θ to (sin²θ + cos²θ) = 1.

What is Trigonometry?

Trigonometry is the branch of mathematics that deals with the relationship between ratios of the sides of a right-angled triangle with its angles.

Here,

tan²θ + 1 = sec²θ

sin²θ/cos²θ + 1 = 1/cos²θ

By taking LCM, we get

(sin²θ + cos²θ)/cos²θ = 1/cos²θ

(sin²θ + cos²θ) = cos²θ/cos²θ

(sin²θ + cos²θ) = 1

Thus, Students claim is correct. We can convert tan²θ + 1 = sec²θ to (sin²θ + cos²θ) = 1.

Learn more about Trigonometry from:

https://brainly.com/question/22698523

#SPJ1

PLEASE PLEASE HELP ILL LIKE AND ITS WORTH 20 POINTS !!

Answers

Answer:

Left one: 27.755 Right one: 3487.5

Step-by-step explanation:

You have to use sin of angle to find the area.

If the mean annual wage of her career is $35,240.00, what will her lifetime earnings be when she retires at the age of 60?

Answers

Answer:

2,114,400

Step-by-step explanation:

35,250 x 60 = 2,114,400

Determine the solution for the following equation: (8x-8) 3/2 = 64
x = 3
x = 5
x = 13
x = 65

Answers

The correct answer is option A which is x = 3.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

The expression will be solved as:-

( 8x - 8 )[tex]^\dfrac{3}{2}[/tex] = 64

We can write 64 as [tex]16^{\dfrac{3}{2}}[/tex]

( 8x - 8 )[tex]^\dfrac{3}{2}[/tex] =   [tex]16^{\dfrac{3}{2}}[/tex]

8x - 8 = 16

8x = 24

x = 3

Therefore the correct answer is option A which is x = 3.

To know more about Expression follow

https://brainly.com/question/723406

#SPJ1

Answer:

A. x=3.

Step-by-step explanation:

Edge 2022.

help please! will give brainle giving 20 points love !

Answers

Answer:

D. 75%

Step-by-step explanation:

100% - 25% = 75%

Answer:

D. 75%

Step-by-step explanation:

If 25% get into an accident then how many teenagers don't? :

100% - 25% = 75%

Have a great day! :)

NoT YellInG ThIS IS JuSt TO AtTRaCT AtTeNTiOn 50 POiNtS PLeaSE ANswER I Am NoT WasTiNg PoInTS!!! Find the range of 1 1/4, 5/8, 3/4, 1/2, 1 1/2, and 1 3/4

Answers

Answer:

Range = 1 1/4

Step-by-step explanation:

Range = Maximum - Minimum

Arranging the data in ascending order :

1/2, 5/8, 3/4, 1 1/4, 1 1/2, 1 3/4

Solving for range :

Range = 1 3/4 - 1/2Range = 1 3/4 - 2/4Range = 7/4 - 2/4Range = 5/4Range = 1 1/4
Answer: 1 1/4

Exact Form: 5/4
Decimal: 1.25

Explanation: Range is where you subtract the biggest number and the lowest number.

Biggest Number: 1 3/4
Lowest Number: 1/2

1 3/4 - 1/2 = 1 1/4

Please solve (30 points)

Answers

A real life example of an acute angle is the angle that's made in letter V.

What is a acute angle?

It should be noted that an acute triangle simply means an angle that measures less than 90 degrees.

In this case, the real life example of an acute angle is the angle that's made in letter V. Other examples include slizing a pizza into different shapes.

Learn more about acute angles on:

brainly.com/question/17335144

#SPJ1

Please help with the Area

Answers

The answer for number 4 is 161.7. I got that answer by plugging in the given numbers to each letter. b=7 a=3.3 therefore the equation I solved was 7*7*3.3=161.7

What is the equation of the function shown in the graph, given that the equation of the parent function is f(x)=(1/7)^x

Answers

The equation of the graphed function is given as follows:

g(x) = (1/7)^x - 4.

What is a translation?

A translation happens when either a figure or a function are moved horizontally or vertically.

The four translation rules for functions are given as follows:

Left a units: f(x + a).Right a units: f(x - a).Up a units: f(x) + a.Down a units: f(x) - a.

The parent function for this problem is given as follows:

f(x) = (1/7)^x.

(which has an asymptote at y = 0).

The function was shifted down 4 units, meaning that the translated function is given as follows:

g(x) = (1/7)^x - 4.

And the correct option is given by the first option.

More can be learned about translations at brainly.com/question/28174785

#SPJ1

What are the coordinates of the vertices of the image?
Translate the shape A four squares right and two squares down.

Answers

Answer:

see explanation

Step-by-step explanation:

a translation of 4 squares right means add 4 to the x- coordinate

a translation of 2 squares down means subtract 2 from the y- coordinate

then

(1, 1 ) → (1 + 4, 1 - 2 ) → (5, - 1 )

(3, 1 ) → (3 + 4, 1 - 2 ) → (7, - 1 )

(1, 4 ) → (1 + 4, 4 - 2 ) → (5, 2 )

1. On a train ride cross-country, the trees, buildings, and people appear to be speeding by the window. This is because the train is our _____

2. Scientists use the ______
system for making measurements.

3. Physical science studies the relationships between ____,____,
and ______.

4. If 6.6 tyrannosaurs weigh 30,000 kg, then what does one tyrannosaur weigh?

5. For most activities, the ___
makes a handy frame of reference.

Answers

On a train ride cross-country, the trees, buildings, and people appear to be speeding by the window. While traveling in a train, it appears that the trees near the track are moving whereas co-passengers appear to be stationary.

How to explain the measurements?

When measuring, scientists use a shared system of measurement, called the International System of Units (SI). Physical science is concerned with the study of natural but non-living objects.

If 6 tyrannosaurs weigh 30,000 kg, the weight of one tyrannosaur will be;

= 30000/6

= 5000kg

Learn more about measurements on:

https://brainly.com/question/25716982

#SPJ1

Katy invests a total of $13,000 in two accounts paying 2% and 7% annual interest, respectively. How much was invested in each account if, after one year, the total interest was $310.00.

Invested at 2%___?
Invested at 7%___?

Answers

Answer:

2 % amount = 12000     7% amount = 1000 dollars

Step-by-step explanation:

x = 2% amount

 then  13 000 - x  = 7% amount

.02x   + .07 (13000-x)  = 310

-.05x + 910 = 310

.05x = 600

x = 600/.05 = 12000      then the 7% amount is 1000

Find the value of x in the given figure.​

Answers

Sum measure of interior angles of traingle is 180° according to this rule ; sum measure of interior angles = (n-2)180 where n is the no. of sides

(3-2)180

=180°

So

[tex]72 + 65 + y= 180 \\ 137 + y= 180 \\ y= 180 - 137 \\ y = 43[/tex]

The sum of an interior and exterior angle equals to 180°

According to this

[tex]y + x = 180 \\ 43 + x = 180 \\ x = 180 - 43 \\ x = 137[/tex]

Hope it helps

Please give brainliest

Find the distance between the points with coordinates (0,-2,0), (3,0,-6).​

Answers

Answer:

[tex]C)~ 7~ \text{units}.[/tex]

Step-by-step explanation:

[tex]\text{Given that,}~ (x_1,y_1,z_1) = (0,-2,0)~ \text{and}~ (x_2,y_2,z_2) = (3,0,-6)\\\\\text{Distance,}~ d = \sqrt{(x_2 -x_1)^2 + (y_2 - y_1)^2 + (z_2 - z_1)^2}\\\\~~~~~~~~~~~~~~~=\sqrt{(3-0)^2 + (0+2)^2 +(-6-0)^2}\\\\~~~~~~~~~~~~~~~=\sqrt{3^2 +2^2 +(-6)^2}\\\\~~~~~~~~~~~~~~~=\sqrt{9+4+36}\\\\~~~~~~~~~~~~~~~=\sqrt{49}\\\\~~~~~~~~~~~~~~~=7~ \text{units}.[/tex]

PLEASE HELP QUICK :(

Answers

Answer:

A

Step-by-step explanation:

Thats how the mean works lol

Other Questions
The part of a fictional textwhere tension is introducedand the story gets its"kick-off" is called theA. Inciting Incident.B. Climax.C. Exposition. solve the proportion find the smallest number by which 84 must be multiplied to make a perfect square? Enter a positive value for d that makes this statement true: 18 *d less than 18 but greater than 0 For an object on a flat surface, the force of gravity is 10 newtons downward and the normal force is 10 newtons upward. The applied force is 15 newtons toward the right and the frictional force is 12 newtons toward the left. What is the magnitude and direction of the net force?3 newtons toward the left 3 newtons upward 3 newtons downward 3 newtons toward the right please help with this thank you! Most earthquakes happen Which two descriptions indicate that a book is a memoir?A retired doctor writes a book about his life.A journalist writes about the life of a famous politician.A woman writes about her experiences as a teacher.An author writes a story about a historical king.A man writes about his life as a prisoner in a foreign country 3) Managers use information systems to help them make decisions that will improve their businesses. What three levels of information do managers need to make these decisions? Provide one example of how information systems can provide this data. (2 points) This year a small business has a total revenue of $21,700. If this is 38% less of their total revenue the previous year what was their total revenue the previous year? Complete the equivalent equation for 7x 60 = x2 + 10x.(x + )(x + ) = 0 The map shows the French Empire in the late 1800s.In the late 1800s, the French EmpireA. spread throughout most of Europe.B. took over North America.C. conquered parts of southern Asia.D. moved into Asia and South America. A manufacturer supplies plastic cups that are placed under the legs of the chair Consider the function represented by the table.For which x is f(x)=3?7445 In a study of patients arriving at a hospital emergency room, the gender of the patients is considered, together with whether the patients are younger or older than 30 years of age, and whether or not the patients are admitted to the hospital. It is found that 45% of the patients are male, 30% of the patients are younger than 30 years of age, 15% of the patients are females older than 30 years of age who are admitted to the hospital, and 21% of the patients are females younger than 30 years of age. What proportion of the patients are females older than 30 years of age who are not admitted to the hospital? What is the first step in summarizing a plot? Which of the following best explains how theocracy and absolute monarchy are similar? debate on wealth is important than health Historians use diaries and personal letters to help them understand the past, like events during the Civil Rights Movement. While in a jail in Birmingham, Alabama, in 1963, Dr. Martin Luther King, Jr. wrote a letter to a group of religious leaders who were concerned about his actions. How would reading this letter help historians better understand the Civil Rights Movement? Choose the best answer1. It describes jail life in the 1960s.2. It shows Dr. Kings level of education.3. It demonstrates how people wrote letters in the 1960s. 4. It explains why Dr. King participated in nonviolent protests. To identify the most efficient model for a windmill, Gandalf Engineering Company designs the windmill shown. The design consists of four right triangles arranged equally around point O such that point O is the midpoint of BF and DH.