A) The model that expresses the revenue R as a function of x is R(X) = -1/7x + 200
B) The domain of R is (-∞, +∞)
C) If 200 units are sold, then the revenue is $228.57
D) The quantity that maximizes revenue is 200 and the maximum revenue is $228.57
E) The price should the company charge to maximize revenue $228.57
Here we have given the function that can be model that expresses the revenue R as a function of x is written as,
=> R(X) = -1/7x + 200
Here the domain value of R has take the value from negative infinity to positive infinity.
When we take the value of x as 200, then the revenues of the sold goods is calculated as,
=> R(200) = -1/7 (200) + 200
When we simplify this one then we get the value of R as
=> R = 28.57 + 200
=> R = 228.57
As per the given function the maximum number of units sold is written as 200, and the maximum revenue is written as 228.57
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Write an equation of the line that passes through the given point and is perpendicular to the given line.
(2, 5); x = -6
well, since the given line is a horizontal line, a perpendicular line to that will just be, yeap, you guessed it, a vertical line, Check the picture below.
When graphing the function on your graphing calculator, what is the most appropriate viewing window for determining the domain and range of the function
The most appropriate viewing window for determining the domain and range of a function when graphing it on a graphing calculator would depend on the specific function and what information you are trying to gain from the graph.
DETERMINING THE DOMAIN AND RANGE OF THE FUNCTIONWhen graphing a function, it is important to set the viewing window correctly so that the full behavior of the function is visible. The domain of a function is the set of all input values for which the function is defined. The range of a function is the set of all output values that the function can produce. To determine the domain and range of a function from its graph, you need to be able to see all of the points where the function is defined, as well as any asymptotes or singularities.
To set the appropriate viewing window, you should start with a wide window that includes the x- and y-values where the function is defined. For example, if the function is defined for all real numbers, you would want to set the x-min and x-max to a large negative and positive number respectively, and y-min and y-max to a large negative and positive number respectively. This will ensure that all of the function's behavior is visible on the graph.
Once you have a general idea of the function's behavior, you can adjust the viewing window as needed.
Also, it is a good idea to check the graph for symmetry or periodicity, which can help to narrow down the domain or range. For example, if the graph is symmetric about the y-axis, you know that the domain includes all real numbers. If the graph is periodic, you know that the domain includes all real numbers and the range is limited.
By adjusting the viewing window and looking for symmetry or periodicity, you should be able to determine the domain and range of the function from its graph.
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Kylie ran 7/10 of a mile and walked 2/5 of a mile. How much farther did Kylie run than walk?
Write your answer as a fraction or as a whole or mixed number.
The farther distance run by Kylie is 3 /10 miles.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Kylie ran 7/10 of a mile and walked 2/5 of a mile. The distance will be calculated as,
Distance = ( 7/10 ) - ( 2 / 5)
Distance = ( 7 - 4 ) / 10
Distance = 3 / 10 miles
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1/4 + 3/8 (i would love a explanation)
What is y = - 1/4x + 4 in written standard form?
Answer:
x + 4y = 16
Step-by-step explanation:
Answer:
1/4x+y = 4
Step-by-step explanation:
Standard form is just X+Y=N
That means we have to get X and Y on the same side. For this problem we just add 1/4x to both sides of the equation.
Patrick wants to prepare a salad. He needs 3 cups of cooked macaroni, 3 cups of sliced oranges, 2 cups of sliced apple, 1 cup of chopped celery and 2 cups of mayonnaise. What is the total amount of ingredients in ratios?
Answer:
s
Step-by-step explanation:
Tim has an irregularly shaped garden, as shown below. What is the area of his garden (in square feet)?
58 ft2
174 ft2
not enough information provided
198 ft2
Which of the following sets of angle measurements determines a triangle? Select all that apply.
60, 80
90, 110
70, 90
100, 80
50, 70
Solve |2x - 5| = 4.
Answer:
x = - 0.5
[tex]x=-\frac{1}{2}[/tex]
Step-by-step explanation:
2x + 5 = 4
2x + 5 - 5 = 4 - 5
2x = - 1
2x ÷ 2 = - 1 ÷ 2
x = - 0.5
Which of the following best approximates the line of best fit?
sorry that it's hard to see
Answer:
A
Step-by-step explanation:
Remark
The line that has the best fit is one who distance above the line is the same as the distance below the line.
That statement means that if you take each point above the line and measure its (perpendicular) distance to the line and add all the distances of those points above the line together, you should get the same distance for the points below the line.
So why is A the best answer?
It's because the distance of the three points above the line should come close to the distance the 3 points are below the line.
A wedding cake weighed 8 kg .If of its weight was flour , was sugar, 2 5 ℎ 5 16 ℎ 1 4 ℎ was cream and the rest were nuts ,find the weight of the nuts
Answer:
300G
Step-by-step explanation:
Here is the complete question
A wedding cake weighed 8kg. If 2/5th of its weight was flour, 5/16th was sugar,1/4th was cream and the rest were nuts, find the weight of nuts.
fraction of the cake that was nuts = 1 - (2/5 + 5/16 + 1/4)
1 - [tex]\frac{32 + 25 + 20}{80}[/tex] = 3/80
wight of nuts = 3/80 x 8 = 0.3 kg = 300g
four-part spinner is spun once. spinner with four parts labeled Q, R, S, and T List the sample space for the experiment. S = {Q, R, R, T} S = {Q, R, S, T} S = {R, A, T} S = {S, Q, Q}
The list of the sample space is s = {Q, R, S, T}. Option B is the correct option.
What is the sample space?
A sample space is a set of potential results from a random experiment. The letter "S" is used to denote the sample space. Events are the subset of possible experiment results. Depending on the experiment, a sample area could contain a variety of results. Discrete or finite sample spaces are those that have a finite number of outcomes.
The random experiment's sample spaces are written in curly brackets, "{ } ".
Given that a spinner wheel has four parts. It is labeled with the names Q, R, S, and T.
The elements of sample space are Q, R, S, and T.
The sample space is a set, thus write the elements in curly brackets.
The sample space is s = {Q, R, S, T}.
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How many minutes will a bus take to cover 5 km travelling at 9 km/h?
Answer:
the bus will take approximately 33.33 minutes to cover 5km at a speed of 9 km/h.
Step-by-step explanation:
To find out how many minutes it will take for a bus to cover 5km at a speed of 9km/h, we need to use the formula:
time = distance / speed
In this case, the distance is 5 km, and the speed is 9 km/h. To convert the speed to km/min we can divide 9 by 60.
9 km/h = 0.15 km/min (by dividing 9 by 60)
Now we can substitute the distance and speed into the formula:
time = 5 km / 0.15 km/min = 33.33 min
So, the bus will take approximately 33.33 minutes to cover 5km at a speed of 9 km/h.
It's important to note that in this problem km/h is the speed and the distance is given in km, so you need to convert it to km/min in order to find the time. Also the time you get will be in minutes.
5c2 - 1 = 124 the 2 is an exponet
need help asap
Solve for m/IGH if m/FGH = 141° and m/FGI = 72°.
F
Answer: m/IGH =
O
G
Submit Answer
H
attempt 1 out of 2/ problem 1 out
Answer:
Step-by-step explanation:
m∡IGH = ? m∡FGH = 141 degrees and m∡FGI = 72 degrees
therefore, m∡IGH = m∡FGH - m∡FGI = 141 - 72 = 69 degrees
James made 7 identical bags using 5 yards of fabric. How much fabric did James use for each bag?
Answer:
James used 5 yards of fabric to make 7 identical bags, so he used 5/7 yards of fabric per bag.
Step-by-step explanation:
What is the length of the 3rd side?
The length of the 3rd side cannot be determined without at least one more side length.
In order to calculate the length of the third side of a triangle, we must also have the lengths of the other two sides. This is because the sum of the three sides of a triangle must equal 180°, so the length of one side can be determined from the other two. For example, if two sides have lengths of 4 and 8, then the third side must have a length of 8, as
4 + 8 + 8 = 180°.
Without knowing the lengths of the other two sides, it is impossible to calculate the length of the third side.
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What are the 4 types of symbols?
Answer:
+ - × ÷
Step-by-step explanation:
addition, subtraction, multiplication and division
Similar figures review
The width for the second rectangle which is HIJK will be A. 24 inches.
How to illustrate the relationship?From the diagram, it should be noted that rectangle ABCD is similar to rectangle HIJK. Therefore it should be noted that the relationship between the width and length is expressed as:
= Width / Length
= 12/16
= 3/4
Therefore, the width for the second rectangle will be:
= 3/4 × 3.2
= 2.4
In conclusion, the correct option is A.
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If Jenny earns $375 when she works 5 hours, how much will she earn if she
works 12 hours?
Answer:
She will earn $900.00 in 12 hours.
Step-by-step explanation:
Her unit rate is 75 dollars per hour.
375/5 = $75
75 x 12 = 900
Answer: $900
Step-by-step explanation: 375/5x12.
help me please.!!!..
Answer:
m = 3
Step-by-step explanation:
Answer:
m=3
Step-by-step explanation:
25POINTS
Hal says the volume of the sphere shown below is 36 cm3. Find the correct volume, using 3.14 for π. Round to the nearest hundredth. What was Hal’s likely error? Use the drop-down menus to explain your answer.
1st box options: 39.14, 18, 11.46, and 113.04
2nd box options: Greater or less
3rd box options: Multiply by, add, divide by, and subtract
Answer:
Its volume for a sphere where radius is 3cm
The real volume is 113.04 cubic meter
Condos in Georgetown go up in value by 10% each year. If the Sutton family's condo is now worth $120,000, what will it be worth in 8 years? If necessary, round your answer to the nearest cent.
The Sutton family's condo's worth in 8 years will be $216000.
What is exponential function?An exponential function is a mathematical function in the form f(x) = aˣ, where {x} is a variable and {a} is a constant which is called the base.
Given is that Condos in Georgetown go up in value by 10% each year. Sutton family's condo's current worth is $120,000.
We can write the function to calculate the worth after {T} years as follows.
A{T, R} = A{i} {1 + RT}
A{T, R} = {120000} {1 + (10/100) x 8}
A{T, R} = {120000} {1 + 0.1 x 8}
A{T, R} = {120000} {1 + 0.8}
A{T, R} = {120000 x 1.8}
A{T, R} = 216000
Therefore, the Sutton family's condo's worth in 8 years will be $216000.
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Which represents “4 more than one half a number”?
Answer:
i think it is D
Answer:
D
Step-by-step explanation:
It is D because it divides n by 2 and adds on 4 to it.
[tex]\frac{n}{2}+4[/tex]
The table represents the details of the loan for Carla's new car purchase. What is the value of C? Cost of car $14,890 Down Payment $2,800 Amount Financed A Monthly Payment $271.02 # Months 60 Amount Repaid B Finance Charge C Total Cost D $19,061.20 $16,261.20 $12,090.00 $4,171.20
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The amount financed (A) is the cost less the down payment.
The amount repaid (B) is the monthly payment times the number of months.
The finance charge (C) is the difference between the amount repaid and the loan amount.
The total cost (D) is the sum of the cost of the car and the finance charge.
Estimate a 15% tip on a dinner bill of $43.17 by first rounding the bill amount to the nearest ten dollars.
Estimated tip: s1
Pls hurry
Answer:
The tip is 6 dollars
Step-by-step explanation:
An auditorium has 28 seats
in the front row. Each row
behind the front has three
more seats than the row
directly in front of it.
How many seats are in the
eleventh row?
Answer:
11 x 3 = 33
28 x 11 = 308
308 + 33 = 341
[tex]\huge\boxed{Answer\341}
(341) is the answer
What do you think that negative distances and velocities could mean in this situation?
Answer:
what situation?
Step-by-step explanation:
. If a population of college student ages is skewed right, then this indicates: a. there are a greater number of older students b. the modal age is greater than the median age c. as the age of a student increases, the frequency of the student ages increases. d. there are more younger students within the population e. not enough information
The correct answer is c. as the age of a student increases, the frequency of the student's ages increases.
A skewed right population means that the data is distributed in such a way that the majority of the values are on the right side of the data set. In the case of a population of college students, this would mean that there is a greater frequency of older students (those in their late twenties or older) than younger students. As the age of a student increases, the frequency of the student's ages increases.
Option a. there are a greater number of older students is also correct, but it is not complete.
Option b. the modal age is greater than the median age is not correct, as the modal age is the most common age in the population and the median age is the middle value of the population, and there is no relationship between them.
Option d. there are more younger students within the population is not correct as a skewed right population indicates the opposite.
Option e. not enough information is not correct as the question is providing enough information to make a conclusion.
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In a game, you pilot a spaceship and gain a point for every asteroid you
destroy. The game ends when your ship is hit by an asteroid. You already
have 94 points. Graph your possible final scores for the game.
Answer:
y = p+94
Step-by-step explanation:
If you already have 94 points you can't get lower than that.
p represents the amount of points you have, or the amount of asteroids you've destroyed.