The number of machine parts produced at a manufacturing plant is based on the number of parts made in a given day
and the number of hours worked. Let P = 14x + 100 give the number of parts that are produced since the start of the
shift and H = x be the number of hours that are to be worked that particular day. Create the equation that would give
the number of parts produced per hour.

Answers

Answer 1

Answer:

The equation that would give the number of parts produced per hour, [tex]P_H[/tex] is given as follows;

[tex]P_H[/tex] = P/H - 100/H

Step-by-step explanation:

The given parameters are;

The number of parts produced is given by the equation, P = 14·x + 100, where x represents the number of hours worked on a particular day

The number of hours worked = H

Therefore, we have;

P = 14·H + 100

At H = 0, P₀ = 100

At H = 1, P = 114

At H = 2, P = 128

Therefore, the rate of change of the number of parts produced with the number of hours spent = The number of parts produced per hour, ΔP/ΔH = [tex]P_H[/tex], is given as follows;

ΔP/ΔH = [tex]P_H[/tex] = (P - P₀)/(H - 0) = P/H - P₀/H = (128 - 100)/(2 - 0) = 14

∴ The number of parts produced per hour, [tex]P_H[/tex] = P/H - 100/H.


Related Questions

juan has $1.30 in dimes and nickels he has a total of 15 coins how many dimes does juan have ​

Answers

Answer:

11 dimes and 4 nickles

Step-by-step explanation:

Answer:

11 dimes equals 1.10 and 4 nickels equals 20 cents

Step-by-step explanation:

Write the equation of the line given the slope and the point that it passes through.
m = 2/7
point = (1, 2) ​

Answers

Answer:

slope (m)= 2/7

X1= 1

y1= 2

formula from equation of the line:

1. Y2 - Y1/ X2 - X1 ( if you know 2 point )

2. y - y1 = m × ( x - x1 ) (if you know the slope and 1 point )

3. mx + c = y ( if you know the slope and the y-axis )

because the known gradient and 1 point, then use the formula number 2.

let's get into the formula:

y - y1= m × (x -x1)

y - 2 = 2/7 × ( x - 1 )

y - 2 = 2/7x - 2/7

y= 2/7x - 2/7 + 2

y = 2/7x + 12/7

Write a line function with a slope of 5 that passes through the point of (2,1)

Answers

Answer: 5x - 9

Hope this helps :)

Answer:the other one is wrong

Step-by-step explanation:5x - 9is wrong

2+2
CORECT ANSWER
It is not easy so don’t think it is 2+2

Answers

Answer:

2 + 2 = fish

Have a great day :}

Determine the nth term rule and find the 45th term for the arithmetic sequence with a10=1 and d=−6.

Answers

Answer:

The 45th term is equal to -209.

Step-by-step explanation:

I got stuck on this question for six attempts. Therefore I started trying other methods. I started with a10=1 and then subtracted 6 to get a11=-5. I continued this process until I reached a45=-209

An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference. The 45th term for the arithmetic sequence is -209.

What is an arithmetic sequence?

An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.

The explicit formula for any arithmetic series is given by the formula,

aₙ = a₁ + (n-1)d

where d is the difference and a₁ is the first term of the sequence.

Given that the 10th term of the arithmetic series is 1, while the common difference of the arithmetic series is -6. Therefore, 10th term of the series can also be written as,

aₙ = a₁+(n-1)d

1 = a₁+(10-1)(-6)

1 = a₁ + (9)(-6)

1 = a₁ - 54

a₁ = 55

Now, the 45th term for the arithmetic sequence is,

aₙ = a₁ + (n-1)d

a₄₅ = 55 + (45-1)(-6)

a₄₅ = 55 - 264

a₄₅ = -209

Hence, the 45th term for the arithmetic sequence is -209.

Learn more about Arithmetic Sequence here:

https://brainly.com/question/3702506

#SPJ2

Find the measure of the numbered angle.
m∠3 =

Answers

Answer:

<3 = 50

Step-by-step explanation:

The sum of the angles of a triangle is 180

<1 + 40 + 90 = 180

<1 + 130 = 180

<1 = 50

<1 and <3 are vertical angles and vertical angles are equal

solve the equation
48= y + 5y ​

Answers

48=y+5y

pretend that there is a 1 in front for the y

48=1y+5y

add the like terms first

1y+5y=6y

48=6y

divide both sides by 6 to get y by itself

48/6=6y/6

8=y

answer:

y=8

Answer:

y = 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

48 = y + 5y

Step 2: Solve for y

Combine like terms:                    48 = 6yDivide 6 on both sides:               8 = yRewrite:                                        y = 8

Step 3: Check

Plug in y into the original equation to verify it is a solution.

Substitute in y:                    48 = 8 + 5(8)Multiply:                               48 = 8 + 40Add:                                     48 = 48

Here we see that 48 does indeed equal 48.

∴ y = 8 is a solution of the equation.

The graphs below have the same shape what is the equation of the blue graph

Answers

Answer:  g(x) = (x-2)^2 + 1. Choice C

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

Explanation:

The graphs have the same shape, which means they have the same 'a' value.

In this case, a = 1.

The vertex of the red graph is (0,0).

The vertex of the blue parabola is (2, 1)

The red curve has been shifted 2 units to the right and 1 unit up.

Since the vertex of the blue graph is (2,1), this means h = 2 and k = 1.

Plug a = 1, h = 2 and k = 1 to get...

y = a(x-h)^2 + k

y = 1(x-2)^2 + 1

g(x) = (x-2)^2 + 1

Answer:

C.

Step-by-step explanation:

Since the blue graph shifted up by 1 unit, it would be +1 at the end of the quadratic function. Then, because the graph also shifted to the right 2 units, the blue graph subtracts from f(x)=x^2 (it does the opposite).

A 12-ounce bag of chips costs $2.88. What is the unit rate per ounce of chips A $0.17 O B. $0.24 OC. $0.25 OD $0.42​

Answers

Answer:

B (I think)

Step-by-step explanation:

$2.88 divided by 12 is 0.24

In the figure below, what is the measure of AB?

Answers

Answer:

The measure of AB is 29

Step-by-step explanation:

If a line is drawn from a vertex of a triangle perpendicular to the opposite side to this vertex and bisects it, then the sides joining this vertex are equal in lengths

In Δ ABD

Line AC ⊥ side BD

∵ BC = BD = 15

C is the mid-point of The side BD

∴ Line AC is a perpendicular bisector of side BD

→ By using the rule above

AB = AD

∵ AB = 5x - 11

∵ AD = 3x + 5

→ Equate them

5x - 11 = 3x + 5

→ Add 11 to both sides

∵ 5x - 11 + 11 = 3x + 5 + 11

∴ 5x = 3x + 16

→ Subtract 3x from both sides

∵ 5x - 3x = 3x - 3x + 16

∴ 2x = 16

→ Divide both sides by 2

x = 8

→ Substitute the value x in the expression of side AB

∵ AB = 5(8) - 11

∴ AB = 40 - 11

AB = 29

The measure of AB is 29

It says Find out the value of x

Answers

33)31
34) 31
35) 21

Check the last one to make sure it’s right . The first 2 I’m 100% sure they are correct

Answer:

x=31, x=31, x=21.

Step-by-step explanation:

So for number 33, we see that 2x+28=90 degrees so you just simplify the equation to 2x=62, x=31.

For number 34, we see that 4x+56=180 (flat line), so we simplify the equation again and get 4x=124, x=31 degrees.

For number 35, according to the vertical angle theorem, 43=2x+1, so we simplify that too and we get 42=2x, 21=x, x=21.

What do you think will happen to Earth if climate chang is solved.?​

Answers

Answer:

it will be more wildfires longer periods of droughts

5,7,9 i need help asap, step by step plss if possible :)

Answers

Answer:

5 yes

7 yes

9 no

Step-by-step explanation:

(4*7)^x is 28 which is greater than 0 and not equal to one.

Same with 7

9 has a negitive 5 being multiplied to 9 which leads it to being -45^x which is less than zero

Answer:

i need some points sorry not sorry

Find the final price of a $849.99 laptop with 6% sales tax

Answers

$900.99 (use quizlet)

1.
A scientist is studying the growth of a particular species of plant. He writes the following equation to show the height of the plant f(n), in cm, after n days:
​f(n) = 12(1.04)n​

Part A: Is this a growth or decay exponential function? Justify your answer. (2 points)

Part B: What is the growth or decay percentage for this function? (2 points)

Part C: What does the y-intercept of the graph of the function f(n) represent? (2 points)

Part D: What is the average rate of change of the function f(n) from n = 1 to n = 5, and what does it represent?

Answers

Answer:

Exponential growth

4%

12

Step-by-step explanation:

Given the function :

​f(n) = 12(1.04)^n​

Part A: Is this a growth or decay exponential function?

The equation above is usually generally represented as :

F(n) = A(1 ± r)^n

Where F(n) = final amount after n years ; r = rate ; n = number of years

The function Given above is thus :

F(n) = 12(1 +0.04)^n

This is an exponential growth function because of the negative rate (+ 0.04)

Part B: What is the growth or decay percentage for this function

From the equation :

F(n) = A(1 + r)^n ; r = rate

Comparing F(n) = 12(1 +0.04)^n ; r = 0.04 = 0.04*100% = 4%

Part C: What does the y-intercept of the graph of the function f(n) represent?

The y intercept :

Value of F(n) when n = 0

F(n) = 12(1 +0.04)^n

F(n) = 12(1 +0.04)^0

Fn = 12(1)

Hence, intercept = 12

which statements are true check all that apply please help ​

Answers

Answer:

a c and d

Step-by-step explanation:

lmk if you need work

and remember that when it is negative, the value that is closer to 0 is greater

helllpppp!!!!!!!!!!!​

Answers

Answer:

m∠1 = 148°  and m∠2 = 32°

Step-by-step explanation:

m∠1 + m∠2 = 180°  (supplementary angles)

4x° + (x - 5)° = 180  (substitution)

4x + x - 5 = 180

5x - 5 = 180

5x = 185

x = 37

m∠1 = 4(37)° =148°  and m∠2 = (37 - 5)° = 32°

What is the measure of angle 3 in degrees?
0 27°
0 33°
O 60°
0 1530

Answers

Answer:

I believe D I’m not sure though

Step-by-step explanation:

Can someone help please

Answers

Answer:

C

____________

Step-by-step explanation:

4-3

6-5

8-6

10-4

13-3

Write equation line that passes through (2,2) and is parallel to line y=3x+9

An equation of parallel line is y=___

Answers

Answer:

Step-by-step explanation:

The slope is in the given line. It is the number in front of the x which is 3.

So far what you have is

y = 3x + b

Now use the point to find b

x = 2

y = 2

Substitute

y = 3*2 + b

2 = 6 + b

2 - 6 = b

b = - 4

y = 3x - 4

what is the percent of 7/10

Answers

In percentage it would be 70%

Hope I helped:)

Answer:

7/10= 0.7 = 0.70 = 70%

Step-by-step explanation:

If you multiply them together you get 70, this only works if it is /10.

I need this done ASAP! I will give brainliest to the answer with the work shown for all problems. Or whichever is done the fastest with the work shown for all problems. I WILL REPORT ANY ANSWERS THAT DO NOT ANSWER MY QUESTION!

Answers

On the first one i think it might be 9 more than 75 oh gosh I hope this helped I’m tryin to get help to haha ❤️

I was at a farm this farm raises cows and chickens I manage to count the number of heads and legs on the form I counted a total of 26 heads and a total of 62 legs can you figure out the number of cows and chickens the farmer has

Answers

Answer:

5 cows, 21 chicken

Step-by-step explanation:

5 cows; 20legs

21chickens; 42legs

26heads; 62legs

y = –A system of equations. y equals negative StartFraction one-half EndFraction x plus 4. x plus 2 y equals negative 8.x + 4 x + 2y = –8 How many solutions does this linear system have?

Answers

Answer:

A

Step-by-step explanation: Took a quiz  

using y=mx+b find the slope for
x + 2y = -8

Answers

Answer:

y=1/2x-4

Step-by-step explanation:

2(x + 3)2 – 3(x + 3) + 8
simplified polynomial in standard form?

Answers

the answer is going to be x+29

what is the percent 12 of 30

Answers

40%

We get: 40% of 30 is 12.

Is this true?

Yes! 40% of 30 = (0.4)(30) = 12

Which is the simplified from of p0

Answers

For this case we have the following expression:
p ^ 0
By properties of exponents we have:
Any number raised to the exponent zero is equal to one.
We have then, that applying this property:
p ^ 0 = 1
Answer:
the simplified form of p ^ 0 is:
D. 1

Write an equation in point slope form for each line.
(1,6) and (2,3)

Answers

Question

How do you write the equation of a line in point slope form and slope intercept form given point (6, -3) and has a slope of 1/2?

Answer · 0 votes

Point-Slope Form is y+3=12(x−6) Slope-Intercept Form is y=12x−6 Explanation: .

What is the input for which g(x)=3
x=

Answers

I think it's x=5 because if you go to "3" on the x line and find where the line touches a point, it's at 5. (wow that made no sense, but yeah)
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