the maximum weekly revenue the publisher can realize from sales of Iguana Oman comics is $35,910 (rounded to the nearest $1). (a) The formula for price elasticity of demand is:
E = (% change in quantity demanded / % change in price)
We can find the % change in quantity demanded by using the given demand function and the price of $37:
Q1 = 150(319 - 37) / (37 - 319) = -2250
Q2 = 150(319 - 38) / (38 - 319) = -2290.91
% change in quantity demanded = (Q2 - Q1) / Q1 * 100 = (-2290.91 + 2250) / 2250 * 100 = -1.82%
% change in price = (38 - 37) / 37 * 100 = 2.70%
Plugging in the values:
E = (-1.82 / 2.70) = -0.67
So the price elasticity of demand when the price is set at $37 per copy is -0.67.
(b) To find the price at which the publisher should sell the books to maximize weekly revenue, we need to find the point where marginal revenue (MR) equals marginal cost (MC). The marginal revenue can be found by taking the derivative of the revenue function:
R = pq = (319 - p)(150p)
dR/dp = 150(319 - 2p)
Setting MR = MC:
150(319 - 2p) = 150
319 - 2p = 1
p = 159
So the price at which the publisher should sell the books to maximize weekly revenue is $159.
(c) To find the maximum weekly revenue, we can plug in the price of $159 into the revenue function:
R = pq = (319 - 159)(150(159)) = $35,910
So the maximum weekly revenue the publisher can realize from sales of Iguana Oman comics is $35,910 (rounded to the nearest $1).
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what is the square root of 144?
the right answer is 12 and if you ever need more help just use the app mathaway
Is the function f(x) = (x+2)/2
A. Even
B. Odd
C. Neither
Answer:
c
Step-by-step explanation:
If x = 6 and y = -2, find the value of x + y( to the power of 2)
Answer:
Step-by-step explanation:
Unit 2 Cumulative Assessment
Enter your response in the box below.
Find the product of (7x - 3)(2x + 4). What is the coefficient of x when the product is written in simplest form?
Answer:
The coefficient of x is 22.
An angle measures 73.6° less than the measure of its supplementary angle. What is the measure of each angle?
Answer:
Smaller angle = 53.2
Larger angle = 126.8
Step-by-step explanation:
Lets say x is the measure of the supplement. Since we know they're supplementary, we know their angle measure sum will equal 180. We can set up our equation like this \(x + (x-73.6) = 180\). Note: (x - 73.6) is the measure of the smaller angle. By solving, we get 126.8 degrees for the measure of the supplement. If we plug in the value of x into (x-73.6), we get 53.2 degrees as the angle measure of the smaller angle.
what is called when two different units are being compared
Answer: A ratio compares two numbers or two quantities. The two numbers being compared are called terms. ... A rate is a special ratio that compares two quantities that have different units of measure. If the second term in a rate is 1, the ratio is called a unit rate.
Step-by-step explanation:
A ratio compares two numbers or two quantities. The two numbers being compared are called terms. ... A rate is a special ratio that compares two quantities that have different units of measure. If the second term in a rate is 1, the ratio is called a unit rate.
solve the system of equations y=5/4x-2 and y=-1/4x+19 what does x and y equal. will give brainliest
Answer:
x = 14
y = 15.5
suppose 1/4 of your socks are blue. how many pairs of socks would you have to select randomly, on average, in order to get 4 pairs of blue socks?
To get 4 pairs of blue socks, on average, you would need to choose 16 pairs of socks at random.
The number of socks chosen at random will be denoted by the letter "n." Given by: The anticipated number of blue socks in "n" pairs
Expected number of blue socks = n * 1/4
In order for there to be four blue socks as expected, we need to determine the value of "n." Thus, we can construct the equation:
n * 1/4 = 4
And solving for n:
n = 4 / (1/4) = 4 * 4 = 16
So, To get 4 pairs of blue socks, on average, you would need to choose 16 pairs of socks at random.
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What is √68 in simplest radical form?
Answer:
2√17
Step-by-step explanation:
Start with thinking of factors of 68. Those are:
1, 2, 4, 17, 34, 68
Within this set of numbers, are there any available that are the square of a number? The 4 does! 68 / 4 = 17
So we can change √68 to be √(4 x 17)
Which is the same as √4 x √17
Which can be simplified to 2 x √17
Or 2√17
given the system of equations x 3y z = −2 2x 5y z = −5 x 2y 3z = 1 . the determinant of the matrix of coefficients is −3. the value of z in the solution set is:: (a) z=−2/3 (b) z=5/3 (c) z=4/3 (d) z=−2 (e) None of the above
The value of z in the solution set is approximately -8.33 for the determinant of the matrix of coefficients is −3, Option E is the correct answer.
To solve the system of equations, we can use the method of determinants. The value of z can be determined by finding the determinant of the matrix of coefficients.
The given system of equations can be represented as:
| 1 3 1 | | x | | -2 |
| 2 5 1 | × | y | = | -5 |
| 1 2 3 | | z | | 0 |
The determinant of the matrix of coefficients is -3, which is non-zero. This means that the system of equations has a unique solution.
To find the value of z, we need to calculate the determinant of the matrix obtained by replacing the z-column with the constants column:
| 1 3 -2 |
| 2 5 -5 |
| 1 2 0 |
Using the rule of determinants for a 3x3 matrix, we can calculate the determinant:
Det = (1 × (50 - -52)) - (3 × (20 - -51)) + (-2 × (2 × -5 - 51))
= (1(0 + 10)) - (3 × (0 + 5)) + (-2 × (-10 - 5))
= (110) - (35) + (-2 × -15)
= 10 - 15 + 30
= 25
Since the determinant is non-zero, the system has a unique solution. To find the value of z, we divide the determinant of the matrix obtained by replacing the z-column with the constants column by the determinant of the matrix of coefficients:
z = Detz / Det
= 25 / -3
= -8.33
Therefore, the value of z in the solution set is approximately -8.33.
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The question is -
Given the system of equations x + 3y + z = -2
2x + 5y + z = -5
x+ 2y + 3z = 0
The determinant of the matrix of coefficients is -3. The value of z in the solution set is:
(a) z=−2/3
(b) z=5/3
(c) z=4/3
(d) z=−2
(e) None of the above
eight ponds of potatoes cost $3.75. How much will 20 pounds cost?
Answer:
$9.38
Step-by-step explanation:
First, we have to find how much a single pound of potato costs.
3.75 / 8 = 0.46875
Since we know the cost of one pound, simply multiply it by 20 to find the cost of 20 pounds of potatoes.
0.46875 * 20 = 9.375
Answer:
$15.20
Step-by-step explanation:
first you must find the cost of each potato per pound, which will be 76 cents per pound then you multiply by 20 and u get 15.2 which is the answer
pls brainelist if this helps
Ada is making rice. The instructions call for 2 1/4 cups of water for 1 cup of rice. Ada is using only 1/3 cup of rice.
Answer:
3/4 cup of water
Step-by-step explanation:
2.25 (2 1/4) divided by 3 (or times 1/3) is 3/4
The required number of cups of water is 3/4 cups of water
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
The number of cups of rice = 1 cup
The number of cups of water for making rice = 2 1/4 cups of water
So the equation for
The number of cups of water for 1/3 cups of rice =
Number of cups of water for making rice / 3
The number of cups of water for 1/3 cups of rice = 2 ( 1/4 ) / 3
= 9/4 / 3
= 3 / 4 cups of water
Therefore , the number is 3/4 cups of water
Hence , The required number of cups of water is 3/4 cups of water
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Help meeee pleasee. I don’t know how to do thisssssssss pls tell me how to dooo.
No links or wrong answers. Thank you. My question is in the image lookkk
Answer:
y=1.25, x=0.75, z=1.45773795
Step-by-step explanation:
Scale factor being 0.5 means you multiply every side by 0.5 to the similar triangle:
\(2.5(0.5)=1.25\\1.5(0.5)=0.75\\2.9154759(0.5)=1.45773795\)
What factors affect band gap?
The factors that affect band gap are material, temperature, pressure and strain.
Band gap refers to the energy difference between the highest occupied energy level and the lowest unoccupied energy level in a material. This energy difference plays a crucial role in determining the electrical and optical properties of a material. The band gap is a critical factor in the design of electronic devices and solar cells.
There are several factors that can affect the band gap of a material. The most important factor is the composition of the material. The band gap is dependent on the electronic structure of the atoms in the material. Another factor that can affect the band gap is the crystal structure of the material. The band gap is influenced by the arrangement of atoms in the crystal lattice.
Temperature is also a significant factor that affects the band gap of a material. As the temperature increases, the energy of the electrons in the material increases, causing the band gap to decrease.
Additionally, external factors such as pressure and strain can also affect the band gap of a material. When a material is subjected to high pressure or strain, its crystal structure can change, altering its electronic properties and causing a change in the band gap.
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Sam and Odel have been selling frozen pizzas for a class
fundraiser. Sam has sold half as many pizzas as Odel.
Together they have sold a total of 126 pizzas. How many
pizzas did Sam sell?
Answer:
Odel has sold 84 Pizzas and Sam has sold 42
Step-by-step explanation:
:p
Describe the transformation:
A-Translation, 2 units down
B-Reflection across y-axis
C-Reflection across y=x
D-Reflection across x-axis
Answer:
D-Reflection across x-axis
What is the length of the side labelled t
Answer: t = 10m
Step-by-step explanation:
We know the lengths of the two legs, but not the length of the hypotenuse. To calculate this, we use the Pythagorean Theorem: a^2 + b^2 = c^2.
So (6)^2 + (8)^2 = (t)^2
36 + 64 = t^2
100 = t^2
sqrt (100) = sqrt (t^2)
t = 10
*sqrt = square root
Jacobs pizza parlor sells pizza for $10 each, with a $20 delivery fee. Ashley's pizza parlor has a $12 delivery fee and sells pizza for $12 dollars each. At what point do the pizza parlors cost the same to deliver pizza?
Answer:
The pizza parlors cost the same when delivering 4 pizzas.
Step-by-step explanation:
For each store, the total price is
cost of pizzas + cost of delivery
The cost of delivery is just a fixed number for each store, $20 or $12.
The cost of the pizzas is the price of a pizza multiplied by the number of pizzas.
Let x = number of pizzas
The cost of the pizzas is
Jacob's: 10x
Ashley's: 12x
Jacob's total cost (pizzas + delivery):
10x + 20
Ashley's total cost (pizzas + delivery):
12x + 12
We want the total costs to be the same, so we set our two total cost expressions equal and solve for x.
12x + 12 = 10x + 20
Subtract 10 from both sides.
2x + 12 = 20
Subtract 12 from both sides.
2x = 8
Divide both sides by 2.
x = 4
Answer: The pizza parlors cost the same when delivering 4 pizzas.
2. A fish tank that holds 80 gallons of water is 55% full. Create a line diagram (like the one
above) to represent this situation.
a. How many gallons are in the tank now? How many more gallons are needed to
fill the tank?
The tank currently contains 44 gallons of water, and 36 more gallons are needed to fill it completely.
How to calculate many more gallons are needed to fill the tanka. The fish tank that holds 80 gallons of water is 55% full, which means it contains:
44 gallons = 80 gallons × 0.55
b. To find out how many more gallons are needed to fill the tank, we can subtract the current amount of water in the tank from its full capacity:
80 gallons - 44 gallons = 36 gallons
Therefore, the tank currently contains 44 gallons of water, and 36 more gallons are needed to fill it completely.
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PLS HELP NEED THIS ASAP
The probability that the dog that's selected will weigh less than 30 pounds will be 55%.
How to calculate probability?From the information given, it was stated that 45% of the dogs weigh more than 30 pounds. Therefore, the probability that the dog that's selected will weigh less than 30 pounds will be:
= 1 - 45%
= 55%
The probability that it weighs more than 30 pound given that it has long fur will be 27%.
The events are independent since the occurence of one doesn't affect the other one.
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Stacy put a fence around a rectangular flower bed with a length of 18ft and a width of 4.5 ft. Next, he enclosed a square flower bed that had the same area. What number fo feet of fence did he need to enclose the entire square flower bed?
Answer:
36 feet
Step-by-step explanation:
Let us first find the area of the of the flower bed. It is a rectangle, so:
A = 18 * 4.5 = 81 square feet
The square flower bed has the same area, therefore, the length of the sides of the flower bed can be gotten. The area of a square is:
\(A = L^2\)
\(81 = L^2\\\\L = \sqrt{81}\)
L = 9 feet
Next, we need to find the perimeter of the square flower bed:
P = 4L
=> P = 4 * 9 = 36 feet
He needed 36 feet of fence to enclose the entire square flower bed.
Use the Central Limit Theorem to find the probability of the indicated event, assuming that the distribution of the population data is unknown. In a certain city, employees work an average of 18.9 hours of overtime every month, with a standard deviation of 7.8 hours. What is the probability that the average number of hours of overtime worked last month by a random sample of 140 employees in the city exceeds 20 hours? Provide a solution showing your calculations and submit your work for marking. Include a sketch as part of your complete solution. P(X > 20)=
The probability that the average number of hours of overtime worked last month by a random sample of 140 employees in the city exceeds 20 hours is approximately 0.9564, or 95.64%.
To find the probability that the average number of hours of overtime worked by a random sample of 140 employees exceeds 20 hours, we can use the Central Limit Theorem (CLT). The CLT states that for a large enough sample size, the sampling distribution of the sample mean approaches a normal distribution, regardless of the shape of the population distribution.
Given that the population mean is 18.9 hours and the population standard deviation is 7.8 hours, we can calculate the standard error of the mean using the formula: standard error = population standard deviation / sqrt(sample size).
For this problem, the sample size is 140, so the standard error is 7.8 / sqrt(140) ≈ 0.659.
To calculate the probability, we need to standardize the sample mean using the z-score formula: z = (sample mean - population mean) / standard error.
In this case, the sample mean is 20 hours, the population mean is 18.9 hours, and the standard error is 0.659. Plugging these values into the formula, we get z = (20 - 18.9) / 0.659 ≈ 1.71.
Now, we can use a standard normal distribution table or calculator to find the probability associated with a z-score of 1.71. Looking up this value in the table, we find that the probability is approximately 0.9564.
Therefore, the probability that the average number of hours of overtime worked last month by a random sample of 140 employees in the city exceeds 20 hours is approximately 0.9564, or 95.64%.
Here's a sketch to visualize the calculation:
|
|
|
| **
| * *
| * *
| * *
| * *
| * *
| * *
-------------------|--------------------------
18.9 | 20
The area under the curve to the right of 20 represents the probability we're interested in, which is approximately 0.9564 or 95.64%.
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The time in seconds that it takes an object to fall d feet can be found using the
expression vd/4. In an egg drop contest, Clara successfully dropped her egg container from a
height of 35 feet, while Vladimir successfully dropped his egg container from a height of 23
feet.
Part1: How much longer did it take Clara's egg to reach the floor than Vladimir's egg?
Part2: Round to the nearest tenth.
(5 Points)
Part 3: Estimate
to the nearest
Answer:
0.3
Step-by-step explanation
d is the feet so you would grab your calculator and do v35/4 and that would come out to (rounded to the nearest tenth) 1.4 and for the other one you would do the same thing but replace "35" with 23 and that would give you (rounded to the nearest tenth) 1.1, so what is the distance between this two? 0.3
A softball team hopes to win at least 3 games
for every 2 lost during the season. If there are
45 games scheduled, how many games can the
team lose and still achieve its goal?
Answer:
y=27
x=18
Step-by-step explanation:
x-games won
y-games lost
x+y=45
3x=2y
x=45-y
3(45-y)=2y
135-3y=2y
135=3y+2y
135=5y
y=27
x=(45-27)
x=18
Which phrase best describes the association between days absent and test score?
a
strong negative association
b
strong positive association
c
weak negative association
d
weak positive association
The association between days absent and test score is described by weak negative association.
What is Statistics?The discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
We need to find the association between days absent and test score.
From the graph we know that the x axis is represented by the average number of days absent and y axis is represented by the Average test score.
The association is depended on the correlation.
The correlation will positive increasing when the values of x axis are increasing and the value of y is increasing.
In the given graph as the values are decreasing the x values are increasing.
Which means it is a negative association.
Hence, weak negative association is describes the association between days absent and test score.
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14. An engineer recorded the acceleration of an experimental rocket.
Determine the model that best describes the data and then write an equation for the function that models the data.
time (sec) 0. 1 2 3 4
speed (mph) 4 12 36 108 324
(SHOW WORK)
Answer:
if looking for the function that best models graph, f(x)=4*(3^x) is the function that satisfies values.
Step-by-step explanation:
f(0)=4*(1)=4
f(1)=4*(3)=12
f(2)=4*(9)=36
f(3)=4*(27)=108
f(4)=4*(81)=324
If the pattern shown below in the stacks of cubes continues, how many cubes will be contained in the 99th stack?
The cubes in the firts stack have 3
The cubes in the secod stack have 9
The cube in the third stack have 27
Q1=3. r=. 3
whats the answer.......................
Answer:
D
Step-by-step explanation:
Cory is 5 times as far as kira. that makes it 5 times 5. tina is 5 times as far as cory. that makes it 5 times 5 times 5
You burn 8 calories per minute on a treadmill and 10 calories per minute on an
elliptical. Your goal is to burn 560 calories in a 60-minute workout. Set up and solve
system to determine how many minutes you should spend on each machine?
Time spend on Treadmill is 20 minutes and on Elliptical is 40 minutes.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
8 calories per minute on a treadmill and 10 calories per minute on an
elliptical.
Our goal is to burn 560 calories in a 60-minute workout.
let the time spend on treadmill be x and time spend on Elliptical be y.
So, the system of Equation is
x+ y= 60..........(1)
8x+ 10y = 560...............(2)
Solving equation (1) and (2) we get
8(60- y) + 10y= 560
480 - 8y + 10y = 560
2y = 560-480
2y = 80
y= 40
and, x= 60- 40 = 20
So, On treadmill we spend 20 minutes and on Elliptical we spend 40 minutes.
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I NEED HELP PLEASE!!!!!! I will make you as brainleyest of watever
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