Answer
See in pic
Step-by-step explanation:
You are the marketing manager for Coffee Junction. The revenue for the company is given by R(x)=− 32x 3+6x 2+18x+4 where R(x) is revenue in thousands of dollars and x is the amount spent each month on advertisement, in thousands of dollars. 0≤x≤25 a) At what level of advertising spending does diminishing returns start? Explain What this diminishing returns means for this company. b) How much revenue will the company earn at that level of advertising spending? c) What does 0≤x≤25 tell us with respect to this problem?
a) Diminishing returns start at x = 1, where the marginal revenue will be less than the marginal cost
b)At x = 1, the company will earn R(1) = -32 + 6 + 18 + 4 = -4,000 dollars.
c) 0 ≤ x ≤ 25 implies that the Coffee Junction company has the capacity to spend a maximum of 25,000 dollars per month on advertisements.
a) At what level of advertising spending does diminishing returns start?
Diminishing returns refers to a situation when the marginal return on investment decreases as more resources are devoted to it. For instance, in case of Coffee Junction, increasing the advertising expenditure may lead to higher revenue, but the marginal revenue (revenue generated by each additional dollar spent) will gradually decrease.
b) How much revenue will the company earn at that level of advertising spending?
At x = 1, the company will earn R(1) = -32 + 6 + 18 + 4 = -4,000 dollars.
c) What does 0≤x≤25 tell us with respect to this problem?
In this problem, 0 ≤ x ≤ 25 implies that the Coffee Junction company has the capacity to spend a maximum of 25,000 dollars per month on advertisements.
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Help me please! If it’s right I’ll give brainliest
Answer:
100 i think
Step-by-step explanation:
HBI inc. seeks to schedule manual labor for 18 new homes being constructed. Historical data leads HBI to apply a 92 % learning curve rate to the manual labor portions of the project. If the first home requires 3,500 manual labor hours to build, estimate the time required to build:
a. the 5th house
b. the 10th house
c. all 18 houses
d. What would the manual labor estimate be for all 18 of the HBI houses in the problem above if the learning curve rate is 1) 70% 2) 75% 3) 80%
Please use a excel spreadsheet and explain how you got your answers in the excel spreadsheet with what to do and how to do it.
Using a 92% learning curve rate, the estimated manual labor hours required to build the 5th house would be 1,034 hours, the 10th house would be 692 hours, and all 18 houses combined would require 3,046 hours. Additionally, if the learning curve rates are 70%, 75%, and 80%, the estimated manual labor hours for all 18 houses would be 5,177, 4,308, and 3,636 hours, respectively.
The learning curve formula is given by \(Y = a * X^b\), where Y represents the cumulative average time per unit, X represents the cumulative number of units produced, a is the time required to produce the first unit, and b is the learning curve exponent.
In this case, the learning curve rate is 92%, which means the learning curve exponent (b) is calculated as log(0.92) / log(2) ≈ -0.0833.
a. To estimate the time required to build the 5th house, we can use the learning curve formula:
\(Y = a * X^b\)
\(Y(5) = 3500 * 5 ^ (-0.0833)\)
Y(5) ≈ 1034 hours
b. Similarly, the time required to build the 10th house can be estimated:
\(Y(10) = 3500 * 10^(-0.0833)\)
Y(10) ≈ 692 hours
c. The cumulative time required to build all 18 houses can be estimated by summing the individual estimates for each house:
\(Y(18) = 3500 * 18^(-0.0833)\)
Y(18) ≈ 3046 hours
d. To calculate the manual labor estimates for all 18 houses using different learning curve rates, we can apply the respective learning curve exponents to the formula. The results are as follows:
- For a 70% learning curve rate: Y(18) ≈ 5177 hours
- For a 75% learning curve rate: Y(18) ≈ 4308 hours
- For an 80% learning curve rate: Y(18) ≈ 3636 hours
In conclusion, using the given learning curve rate of 92%, the estimated time required to build the 5th house is 1034 hours, the 10th house is 692 hours, and all 18 houses combined would require 3046 hours. Additionally, different learning curve rates yield different manual labor estimates for all 18 houses.
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uually Cxpressions
Which expressions are equal to 0 when x=-1? Check all that apply.
(4x + 5)
4(x - 1)
(5 - 4x)
40% - (-1))
(4 7 + 5)
(4x + 5)
4(x + 1)
(5 - 4x)
Intro
Answer:
Which expressions are equal to 0 when x = –1? Check all that apply.
StartFraction 4 (x plus 1) Over (4 x plus 5) EndFraction
StartFraction 4 (x minus 1) Over (5 minus 4 x) EndFraction
StartFraction 4 (x minus (minus 1)) Over (4 x plus 5) EndFraction
StartFraction 4 (x plus (minus 1)) Over (4 x plus 5) EndFraction
StartFraction 4 (x plus 1) Over (5 minus 4 x) EndFraction
Step-by-step explanation:
write the augmented matrix for the system. (b) reduce the augmented matrix to row-echelon form. (c) give the solution set of the system.
Answer:
B
Step-by-step explanation:
Un corredor corrió una distancia de 1 ⅘ millas.
Si este corredor se paraba cada 1/5 millas.
cuántas paradas este corredor hizo ?
The number of stops that the runner would make is 9.
What is a fraction?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.
Since the runner runs 1 4/5 miles and stops every 1/5 mile. The number of stops will be:
= Total mile / Stop
= 1 4/5 ÷ 1/5
= 9/5 ÷ 1/5.
= 9/5 × 5/1
= 9
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Answer my math question I asked so many times I lost most of points by
Answer:
A = -2/3
B = 8
C = -24
Line of symmetry calculation = x = -8/2*(2/3)
Line of symmetry is x = 6
Opens down
Min/man is (6,0)
Vertex is (6,0)
Domain is (-infinity, infinity)
Range is (-infinity, 0)
what os the slope of (-6,9),(7,-9)
Answer:
18/12
Step-by-step explanation:
18- rise
12- run
What number should be added to both sides of the equation to complete the square? x2 + 8x = 4
Answer:
2 x 2+ 8 x 0= 4
Step-by-step explanation:
Answer:
c.16
hope this helps some one, have a nice day :)
Step-by-step explanation:
i just took the quiz and got it correct
through: (9,-5), Slope=3/4 what is the slope equation?
Can anyone help me please
Answer:
dufenschmertz evil incorporated...
Step-by-step explanation:
after hours ;)
Hey I need help with my math work
Step-by-step explanation:
what is the question?????
Answer:
Where is the question???
Step-by-step explanation:
pls help this is on edge
Step-by-step explanation:
Btw The one on the upper right hand side is Right angle
Answer:
The answer is the image.
Step-by-step explanation:
Sorry for messy writing.
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2.16 Quiz: Area of Composite Figures
What is the area of this figure?
Enter your answer in the box.
8m
5m
9m
Answer:
81m2
Step-by-step explanation:
Answer:
81 m2
Step-by-step explanation:
took test :)
Daniel earns $18. 50 an hour, with time-and-a-half for hours worked over 37 a week. His clock hours for a week are 9. 5, 8. 5, 10, 10, and 10. 75. How much is his weekly
To calculate Daniel's weekly pay, add his regular pay and overtime pay: Weekly pay = $1038.31.
To calculate Daniel's weekly pay, we need to determine his regular hours and his overtime hours.
Regular hours = 37 hours
Overtime hours = Total hours worked - Regular hours
Total hours worked = 9.5 + 8.5 + 10 + 10 + 10.75 = 49.75 hours
Overtime hours = 49.75 - 37 = 12.75 hours
Daniel's regular pay for 37 hours is:
$18.50/hour x 37 hours = $684.50
Daniel's overtime pay for 12.75 hours is:
$18.50/hour x 1.5 = $27.75/hour (time-and-a-half rate)
$27.75/hour x 12.75 hours = $353.81
Therefore, Daniel's weekly pay is the sum of his regular pay and overtime pay:
Weekly pay = $684.50 + $353.81 = $1038.31
Therefore, Daniel's weekly pay is $1038.31.
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Complete question:
Daniel earns $18.50 an hour, with time-and-a-half for hours worked over 37 a week. His clock hours for a week are 9. 5, 8. 5, 10, 10, and 10.75. How much is his weekly pay?
The lengths of the sides of a triangle are given below. Classify the triangle as acute, obtuse, or right.
7, 9, 3
A. Acute Triangle
B. Obtuse Triangle
C. Right Triangle
Answer:
B. Obtuse TriangleStep-by-step explanation:
Use Pythagorean to identify if the triangle is right:
9² = 7² + 3²81 = 58We see the triangle is not right and the difference of the squares tells us the angle opposite to side with measure of 9 is greater than 90°.
It means the triangle is obtuse.
Correct choice is B
A single card is drawn at random from a standard 52 card deck.Work out the following probabilities in their simplest form
Answer:
A
Step-by-step explanation:
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
GIVING BRAINLIEST!!!!!
Answer:
7x+2y=18
The first one
Step-by-step explanation:
The equation to be perpendicular switches they numbers before the x and y. Also plugging into a graphing calculator like desmos will show you
that
9(8 - x) = 3x
Will mark brainlest!
Answer: x = 6
Step-by-step explanation:
9(8 - x) = 3x
72 -9x = 3x
add 9x to both sides
72 = 12x
divide 72 by 12
x = 6
What is the slope of the line represented by the equation y=-3x+ *?
Ale who
o
o
- HIN
30. You want to simulate an experiment to draw cards out of a deck. You
plan to draw 35 cards (with replacement), and list which card you drew. How
many times would you expect to draw a face card?
6
8
12
10
Using the binomial distribution, we have that you would expected to draw a face card 8 times.
What is the binomial probability distribution?It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.
The expected value of the binomial distribution is:
E(X) = np
For this problem, the parameters are given as follows:
n = 35, as the experiment will be repeated 35 times.p = 0.2308, as of the 52 cards, there are 12 faces, hence 12/52 = 0.2308.Then the expected value is found as follows:
E(X) = np = 35 x 0.2308 = 8
You would expected to draw a face card 8 times.
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A recipe that makes 50 cookies calls for 1/5 cup of sugar and 5/6 cup offlour. The chef wants to proportionally increase the amount to get anew recipe using one cup of sugar. Using the new recipe, howmuch flour should the chef use? Give your answer as an improperfraction.
The given recipe that makes 50 cookies calls for 1/5 cup of sugar and 5/6 cup of flour. The chef wants to proportionally increase the amount to get a new recipe using one cup of sugar.
Let the new amount of flour be x.Then the new recipe using one cup of sugar should be in the ratio of (1/5)/1 = (x)/(5/6)Multiplying both sides by 5/6, we get:x = (5/6) * (1/5) * 1x = 1/6.
Therefore, the chef should use 1/6 cup of flour in the new recipe to make one cup of sugar.This is the final answer to the question.Let the new amount of flour be x.Then the new recipe using one cup of sugar should be in the ratio of (1/5)/1 = (x)/(5/6)Multiplying both sides by 5/6, we get:x = (5/6) * (1/5) * 1x = 1/6.
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Anybody good in geometry and know how to do this? Free Brainliest and points !!!
Answer:
points are free?
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
clockwise is rotating it to the right. And then 180 rotation would cause the image to be flipped upside down
After the first semester of 6th grade, the ratio of the number of math students earning an A to the number of students earning a B was 2:9. However, after the second semester, the ratio of the number of math students earning an A to the number of math students earning a B was changed to 4:7. How many students had a B at the end of the first semester if there were 92 students who received an A in the second semester?
After the first semester of 6th grade, the ratio of the number of math students earning an A to the number of students earning a B was 2:9. However, after the second semester, the ratio of the number of math students earning an A to the number of math students earning a B was changed to 4:7. How many students had a B at the end of the first semester if there were 92 students who received an A in the second semester? what is the answer
What is the linear distance traveled in one revolution of a 36-in diameter wheel.
The linear distance traveled in one revolution of a wheel can be calculated using the formula:
Circumference = π * Diameter
Given that the diameter of the wheel is 36 inches, we can substitute the value into the formula:
Circumference = π * 36 inches
Using an approximate value of π as 3.14159, we can calculate the circumference:
Circumference ≈ 3.14159 * 36 inches
Circumference ≈ 113.09724 inches
Therefore, the linear distance traveled in one revolution of a 36-inch diameter wheel is approximately 113.09724 inches.
Hey could someone help me with this?
Step-by-step explanation:
30% of 500 voted for Sycamore
30% x 500 = .30 * 500 = 150 votes
Fox Glen got the most votes
Does seat location matter? Many people believe that students learn better if they sit closer to the front of the classroom Does sitting closer cause higher achievement; or do better students simply choose sit in the front? To investigate, AP Statistics teacher randomly assigned students seat locations in his classroom for particular chapter and recorded the test score for each student at the end of the chapter: The explanatory variable in this experiment is which row the students were assigned (row is closest to the front and row 7 is the farthest away). Here are the results, including scatterplot and least-squares regression line: 100 Row I: 76, 77, 94 Row 2: 83,85,74,79 1 Row 3: 90, 88, 68_ Row 4: 94,72, 101, 70, 79 70 Row 5: 76 65, 90, 67, 96 Row 6: 88, 79 Row 7: 79,76, 77, 63 Row Score 86 1.12Row; r? = 0.047 Interpret the slope ' of the least-squares regression line in this context: Explain why it was important randomly assign the students tO seats rather than letting each student choose his or her own Scal
Part A: least-squares regression line' equation: Test score = 85.706 - 1.1171 (row).
Part B: slope of the least-squares regression line. Slope = 1.1171.
Explain about least-squares regression line:A least-squares regression line, typically minimises the vertical distance between the data points and the regression line, is the line that best fits a linear connection among two variables when the data indicates such a relationship. Since it represents the smallest total squared of errors, also known as the "variance," the phrase "least squares" is used to describe it.
The Least Squares Regression Line generates a projected y-value for each x-value that is generally close to the observed y-value but somewhat off. The term "y-hat" refers to this expected y-value. The letter "y" stands in for the observed y-value.The residual seems to be the vertical separation between your predicted y-value and the observed point.Part A: least-squares regression line' equation:
Take the values for test score from the attached table for Coef:
Test score = constant - row
Test score = 85.706 - 1.1171
Part B: slope of the least-squares regression line.
As there is increase of 1 row, the predicted test core reduced by the value 1.1171.
Slope = 1.1171.
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Complete question:
Does seat location matter? Many people believe that students learn better if they sit closer to the front of the classroom Does sitting closer cause higher achievement; or do better students simply choose sit in the front? To investigate, AP Statistics teacher randomly assigned 30 students seat locations in his classroom for particular chapter and recorded the test score for each student at the end of the chapter: The explanatory variable in this experiment is which row the students were assigned (row is closest to the front and row 7 is the farthest away).
Part A: state the equation of least-squares regression line?
Part B: Interpret the slope of the least-squares regression line in this context.
The data is shown in table:
The punch bowl at Felicia's party is getting low, so she adds 12 cups of punch to the bowl. Two guests serve themselves 1. 25 cups and 2 cups of punch. The punch bowl now contains 11. 5 cups of punch. How many
Using the linear equations the punch bowl had 2.75 cups of punch in it before Felicia added 12 cups of punch to it.
Let's assume that the punch bowl had x cups of punch before Felicia added 12 cups of punch to it.
After Felicia added 12 cups of punch, the total amount of punch became x + 12 cups.
Then, when two guests served themselves 1.25 cups and 2 cups of punch, respectively, the total amount of punch in the bowl became:
x + 12 cups - 1.25 cups - 2 cups = x + 8.75 cups.
We know that the punch bowl contained 11.5 cups of punch after this. So we can write:
x + 8.75 cups = 11.5 cups
Subtracting 8.75 from both sides, we get:
x = 2.75 cups
Therefore, the punch bowl had 2.75 cups of punch in it before Felicia added 12 cups of punch to it.
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The question is -
The punch bowl at Felicia’s party is getting low so she adds 12 cups of punch to the bowl. Two guests serve themselves 1.25 cups and 2 cups of punch. The punch bowl now contains 11.5 cups of punch. How many cups were in the punch bowl before Felicia refilled it?
find F(s): L{(t-1)u(t-1)} where L is the laplace transformation
The solution of the given function using Laplace transform the required solution is, L{F(s)}= \(\frac{1}{s^{2} } e^{-s}\)
Given data,
F(s): L{(t-1)u(t-1)}
Where L is the Laplace transformation
Laplace transform is the integral transform of the given derivative function with real variable t to convert into a complex function with variable s. For t ≥ 0, let f(t) be given and assume the function satisfies certain conditions to be stated later on.
F(s) = \(\int\limits^\alpha _0 {f(t)} e^{-st} t^{l} \,\)
Where,
s = σ + \(iw\)
F(s) = Laplace transform
s = complex number
t = real number >=0
\(t^{l}\) = first derivative of the function f(t)
The Laplace transform reduces a linear differential equation to an algebraic equation, which can then be solved by the formal rules of algebra.
So,
We can write,
F(s): L{(t-1)u(t-1)}
F(s) = \(\int\limits^\alpha _0 {f(t)} e^{-st} t^{l} \,\)
F(s) = \(\int\limits^\alpha _0 {(t-1)u(t-1)} e^{-st} \, dt\)
F(s) = \(e^{-s} (\frac{1}{s^{2} } )\)
F(s) = \(\frac{1}{s^{2} } e^{-s}\)
Therefore,
The solution of the given function using Laplace transform the required solution is, L{F(s)}= \(\frac{1}{s^{2} } e^{-s}\)
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The function f(x) is graphed below. What is the value of f(-2)?
Answer:
f(-2) = 4
Step-by-step explanation:
Looking at the graph, at -2 the graph is at the point (-2,4). Therefore, the value of f(-2) is 4.