Answer:
2x=80
x=40
y=190-80
y=110
Given the point g' at (4,6) and the rule (x,y) > > > (x-7,y+3). Find the coordinates of g.
The new co-ordinates of the point after transformation is (-3,9)
what is the Cartesian coordinate system?A Cartesian coordinate system in a plane is a coordinate system that specifies each point uniquely by a pair of numerical coordinates,
Given here: The point g'(4,6)
The point transforms to (x-7,y+3)
Thus the new points are 4⇒4-7=-3
6⇒6+3=9
Thus, The new co-ordinates of the point after transformation is (-3,9)
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What is 5’7 in cm
Please can I have help
Step-by-step explanation:
Sure, I'd be happy to help!
5 feet 7 inches is equivalent to 170.18 cm.
Each morning Bill leaves home between 6:30 and 8:00 to drive to work at University of Texas. The time it takes Bill to drive to work (TIME) depends on the departure time when he leaves after 6:30 (DEPART), the number of red lights on the way (REDS) and the number of trains that he has to wait for at the crossing (TRAINS). Observations for these variables are for 231 working days in 2006. TIME is measured in minutes after 6:30 that Bill departs. The estimated regression model is as follows; TIME -19.9166+0.3692DEPART+1.3353REDS +2.7548TRAINS R¹ -0.634 s.e (1.2548) (0.3038) (0.01553) (0.1390) a) What is the average estimated time in minutes to drive to work for Bill when he leaves on time at 6:30 and there are no red lights and no trains at the crossroad to wait?
( b) Interpret the estimated coefficients of REDS and TRAINS. c) Using a 5% significance level, test the hypothesis that each train delays Bill by 3 minutes. State your conclusion.
a) The average estimated time for Bill to drive to work when he leaves on time at 6:30 with no red lights and no trains to wait for is approximately -19.9166 minutes. b) The estimated coefficients of REDS and TRAINS in the regression model are 1.3353 (REDS). c) The absolute value of the calculated t-value (-1.7733) is less than the critical t-value (1.9719), we fail to reject the null hypothesis.
a) To find the average estimated time in minutes for Bill to drive to work when he leaves on time at 6:30 and there are no red lights and no trains at the crossroad to wait, we substitute the values into the regression model:
TIME = -19.9166 + 0.3692(DEPART) + 1.3353(REDS) + 2.7548(TRAINS)
Given:
DEPART = 0 (as he leaves on time at 6:30)
REDS = 0 (no red lights)
TRAINS = 0 (no trains to wait for)
Substituting these values:
TIME = -19.9166 + 0.3692(0) + 1.3353(0) + 2.7548(0)
= -19.9166
Therefore, the average estimated time for Bill to drive to work when he leaves on time at 6:30 with no red lights and no trains to wait for is approximately -19.9166 minutes. However, it's important to note that negative values in this context may not make practical sense, so we should interpret this as Bill arriving approximately 19.92 minutes early to work.
b) The estimated coefficients of REDS and TRAINS in the regression model are:
1.3353 (REDS)
2.7548 (TRAINS)
Interpreting the coefficients:
- The coefficient of REDS (1.3353) suggests that for each additional red light, the estimated time to drive to work increases by approximately 1.3353 minutes, holding all other factors constant.
- The coefficient of TRAINS (2.7548) suggests that for each additional train Bill has to wait for at the crossing, the estimated time to drive to work increases by approximately 2.7548 minutes, holding all other factors constant.
c) To test the hypothesis that each train delays Bill by 3 minutes, we can conduct a hypothesis test.
Null hypothesis (H0): The coefficient of TRAINS is equal to 3 minutes.
Alternative hypothesis (Ha): The coefficient of TRAINS is not equal to 3 minutes.
We can use the t-test to test this hypothesis. The t-value is calculated as:
t-value = (coefficient of TRAINS - hypothesized value) / standard error of coefficient of TRAINS
Given:
Coefficient of TRAINS = 2.7548
Hypothesized value = 3
Standard error of coefficient of TRAINS = 0.1390
t-value = (2.7548 - 3) / 0.1390
= -0.2465 / 0.1390
≈ -1.7733
Using a significance level of 5% (or alpha = 0.05) and looking up the critical value for a two-tailed test, the critical t-value for 230 degrees of freedom is approximately ±1.9719.
Since the absolute value of the calculated t-value (-1.7733) is less than the critical t-value (1.9719), we fail to reject the null hypothesis. This means that there is not enough evidence to conclude that each train delays Bill by 3 minutes.
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Raymond was asked to come to the board and solve the equation h = ab + r for a.
What should be Raymond's first step?
Subtract r from both sides of the equation.
Multiply each side of the equation by b.
Divide each side of the equation by a.
Add h to each side of the equation.
The correct answer is:
Subtract r from both sides of the equation.
To solve the equation h = ab + r for a, Raymond's first step should be to isolate the variable a by performing the necessary operations.
To do this, he should choose option A, which is to subtract r from both sides of the equation. This step helps in isolating the term containing the variable a on one side of the equation.
By subtracting r from both sides, the equation becomes:
h - r = ab
Now, the term containing a is alone on one side of the equation, while the constant terms (h and r) are on the other side.
After completing this step, Raymond can proceed to further manipulate the equation to solve for a. But his first step should be to subtract r from both sides.
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pls help me find answer
Answer:
m = 3/4
Step-by-step explanation:
the life expectancy in the united states is 75 with a standard deviation of 7 years. a random sample of 49 individuals is selected. what is the probability that the sample mean will be larger than 76 years?
The probability that the sample mean will be larger than 76 years is 0.1587.
What is the standard deviation?
The term "standard deviation" refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.
Here, we have
standard deviation = 75
years = 7
Then, we have to calculate the probability of 49 individuals is selected and the sample mean will be larger than 76 years.
P(x>76) = P(z> (76 - 75/1))
P(x>76) = P(z>1) = 1 - P(z≤1)
P(x>76) = 1 - 0.8413
P(x>76) = 0.1587
Hence, the probability that the sample mean will be larger than 76 years is 0.1587.
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Can someone help me with this math homework please!
Answer:
Post them individually
Step-by-step explanation:
1. B
2. 4th option ,----> Megan's at 2.5 per week
Megan's plant:
slope = 7-4.5/2-1 = 2.5= growth rate
Suzanne's plant:
slope = 7-5/2-1= 2 = growth rage
3.D
4 2nd option , $2 for each song
Rate of change = 6-4/3-2 = 2
Check out this rectangular prism 7 2 3
Answer:
Is there a picture/ screenshot we can look at to figure out the answer to your question here?
Step-by-step explanation:
lim 1+ x/1+√x^2+1x
x→-infinity
Answer:
1/2
Step-by-step explanation:
Find the following limit:
lim_(x->∞) (x + 1)/(1 x + sqrt(x)^2 + 1)
(x + 1)/(1 x + sqrt(x)^2 + 1) = (x + 1)/(2 x + 1):
lim_(x->∞) (x + 1)/(2 x + 1)
The leading term in the denominator of (x + 1)/(2 x + 1) is x. Divide the numerator and denominator by this:
lim_(x->∞) (1 + 1/x)/(2 + 1/x)
The expressions 1/x and 1/x both tend to zero as x approaches ∞:
Answer: 1/2
A set of elementary school student heights are normally distributed with a mean of 105105105 centimeters and a standard deviation of 101010 centimeters. Ikue is an elementary school student with a height of 90. 490. 490, point, 4 centimeters. What proportion of student heights are lower than ikue's height?.
The 0.0721 proportion of students have less height than Ikue's height. It can be obtained by Z score table and Z score formula.
What is the formula of Z score?
The Z score is given by the following expression:
\(Z=\frac{x-\mu}{\sigma}\)
Here, Z is the Z score, x is the observed value, \(\mu\) is the mean and \(\sigma\) is the standered deviation.
We need to watch the negative Z score if we want the proportion of students less than the observed value and we need to watch the positive Z score if we want the proportion of students more than the observed value.
Substitute 90.4 for x, 105 for \(\mu\), and 10 for \(\sigma\) in the above equation.
\(Z=\frac{90.4-105}{10}\\=-1.46\)
Since we need to find the proportion of student heights lower than ikue's height hence, watch the value of negative z score in the z table. Watch the value in frunt of - 1.4 and below 0.06. It is 0.0721.
Hence, 0.0721 proportion of students have less height than Ikue's height.
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please help me please
Answer:
detailed explanation is in image
Step-by-step explanation:
ans is 60 unit²
MARK ME THE BRAINLIEST !
Answer:
60 cm2
Step-by-step explanation:
Formula for finding out the area of the figure -
Area of full rectangle - Area of unshaded rectangle = Area of shaded region
Area of full rectangle =
Length (l) = 9+3 = 12 cmBreadth (b) = 4+4 = 8cm Area of full rectangle = l*b = 12*8 = 96cm2Area of unshaded rectangle =
Length (l) = 9 cmBreadth (b) = 4 cmArea of unshaded rectangle = l*b = 4*9 = 36cm2Putting the formula = 96-36 = 60cm2
Hence the area of shaded region = 60cm2
I gave the answer first !
A line that includes the point (5, –10) has a slope of 0. What is its equation in slope -intercept form?
Answer:
0
Step-by-step explanation:
Slope = (y-y1)/(x-x1)
0
Which situations can be modeled with a periodic function?A. Flag on windmillB. Height of baseball after being hitC. Ball suspended from strin
Answer: Situations that exhibit a repeating pattern over time or space, such as the movement of a flag on a windmill or a ball suspended from a string, can be modeled with a periodic function.
Step-by-step explanation:
A periodic function is a function that repeats itself after a certain interval. The situations that can be modeled with a periodic function are those that exhibit a repeated pattern over time or space.
A. Flag on windmill: The movement of a flag on a windmill can be modeled with a periodic function because it oscillates back and forth in a repeating pattern. The movement of the flag can be described by a sine or cosine function.
B. Height of baseball after being hit: The height of a baseball after being hit cannot be modeled with a periodic function because it does not exhibit a repeating pattern.
The height of the baseball will decrease as time passes, and it will eventually hit the ground. This behavior is not periodic.
C. Ball suspended from string: The motion of a ball suspended from a string can be modeled with a periodic function because it oscillates up and down in a repeating pattern. The motion of the ball can be described by a sine or cosine function.
Therefore, situations that exhibit a repeating pattern over time or space, such as the movement of a flag on a windmill or a ball suspended from a string, can be modeled with a periodic function.
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Find the general solution of the following differential equation. Primes denote derivatives with respect to x. 2x?y' + 6xy = 14y3 = The general solution is
Answer:
Hence the solution to the differential equation is Step-by-step explanation:
During the summer, Hazel plans to save money to buy a new video game console. The table of values shows the linear relationship between the amount of money Hazel has saved, in dollars, and the
amount of time that has passed since the start of summer, in weeks.
Time (in weeks)
Money Saved (in
dollars)
0
150
2
190
What is the equation of the line in slope-intercept form?
4
230
250
7
290
y = 40x + 150
The slope intercept form is y = mx + c.
What is the slope intercept form?A line with m as its slope, m as its y-intercept, and c as its coefficient makes up the graph of the linear equation y = mx + c. The values of m and c in this version of the linear equation—known as the slope-intercept form—are real numbers.
The steepness of a line is indicated by the slope, m. Sometimes, the term "gradient" is used to refer to the line's slope. The point on a line's graph where it meets the y-axis is designated by the y-coordinate, or b, as the line's y-intercept. The supplied line L's distance c is known as its y-intercept.
Therefore, the coordinate of the point where the line L intersects the y-axis will be (0, c).
As a result, line L has a slope of and passes through the fixed point (0, c).
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Which equation best represents the line graphed above?
A.) y = x – 1
B.) y = – x – 1
C.) y = 2x – 1
D.) y = x + 1
Answer:
it is A
Step-by-step explanation:
do you do connections academy?
Hi, Unfortunately i am not here to answer your question from 2 weeks ago but i am here to ask you a question about your friend (My friend to be exact). Do you have any access to wayland or any previous conversions.
If not thank you for your effort into reading this ^-^
What is -7(1-4m)=13(2m-3)
Answer:
It is m = -16.
Step-by-step explanation:
-7 (1 - 4m) = 13 (2m - 3)
-7 + 28m = 26m -39
2m - 7 = -39
2m = - 32
m = -16
Answer:
m = -16
Step-by-step explanation:
-7(1 - 4m) = 13(2m - 3)
Distribute -7 into (1 - 4m), and distribute 13 into (2m - 3):
-7(1 - 4m) = 13(2m - 3)
-7 + 28m = 26m - 39
Add 7 to both sides of the equation:
-7 + 28m + 7 = 26m - 39 + 7
28m = 26m - 32
Subtract 26m from both sides of the equation:
28m - 26m = 26m - 32 - 26m
2m = -32
Divide both sides by 2 to solve for m:
\(\frac{2m}{2} = \frac{-32}{2}\)
m = -16
Solve y= ax^s+c for x
Answer:
\(\displaystyle x= \sqrt[s]{\frac{y-c}{a}}\)
Step-by-step explanation:
\(\displaystyle y= ax^s+c\)
Subtract \(c\) on both sides.
\(\displaystyle y-c= ax^s+c-c\)
\(\displaystyle y-c= ax^s\)
Divide \(a\) on both sides.
\(\displaystyle \frac{y-c}{a} = \frac{ax^s}{a}\)
\(\displaystyle \frac{y-c}{a} = x^s\)
Take the root of \(s\) on both sides.
\(\displaystyle \sqrt[s]{\frac{y-c}{a}} =\sqrt[s]{x^s}\)
\(\displaystyle \sqrt[s]{\frac{y-c}{a}} =x\)
Answer:
\(x= \sqrt[s]{ \frac{y - c}{a} } \\ \)
Step-by-step explanation:
\(y = a {x}^{s} + c \\ y - c = a {x}^{s} \\ \frac{y - c}{a} = \frac{a {x}^{s} }{a} \\ \frac{y - c}{a} = {x}^{s} \\ \sqrt[s]{ \frac{y - c}{a} } = \sqrt[s]{ {x}^{s} } \\ x= \sqrt[s]{ \frac{y - c}{a} } \)
hope this helps you
which is grater .856 or .8561
Answer: .8561
Step-by-step explanation: If you make them the same number by adding a 0 to .856 it would look like
.8561
.8560
Answer:
I think it would be .856
Step-by-step explanation:
0.5 is greater than 0.05. There are many ways to deduce this:
The more the # of zeroes after the decimal point the smaller the number is. Suppose there are x number of extra zeroes after the decimal point in number a than number b. Then, b is 10^x times larger than a.
Multiply both numbers by 100. we can see 0.5*100 (=50) > 0.05*100 (=5)
Fractionalize both numbers, we get 0.5=(5/10) but 0.05=(5/100). This makes 0.05<0.5
Thanks for reading. Hope this helps. And maybe can i have brainliest?
Plz help me to solve this question
Step-by-step explanation:
diagonals of the rhombus bisect each other at right angles .
5a = 90
a = 90/5 = 18
in ∆ OCD:
5a + 2a + b = 180
7a+ b = 180
b = 180 - 7 ( 18)
b = 180 - 126
b = 54 °
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you.☺️
Answer:
a = 18°
\( b= 108\degree \)
Step-by-step explanation:
ABCD is a rhombus.
AC and BD are its diagonals
Diagonals of a rhombus bisects at right angles.
Therefore,
5a = 90°
a = 90°/5
a = 18°
2a = 2*18° = 36°
Diagonals of a rhombus bisects the opposite angles.
Therefore,
\( m\angle ADC = 2(2a)\)
\( m\angle ADC = 2\times 36\degree \)
\( m\angle ADC = 72\degree \)
\( m\angle ADC+m\angle DCB= 180\degree \)
(Adjacent angles of a rhombus are supplementary)
\( 72\degree+b= 180\degree \)
\( b= 180\degree-72\degree \)
\( b= 108\degree \)
Find the coefficient of x^2 in the expression of (x - 7)^5. a. -3430 b. -3034 c. 3034 d. 3430
Answer:
let me know when you have the anwser
Step-by-step explanation:
What will most likely happen to a characteristic that has a high survival value in a population?
The characteristic will...
The required characteristic that has a high survival value in a population is likely to become dominant or common.
What is Statistic?Statistics is the study of mathematics that deals with relations between comprehensive data.
A characteristic that has a high survival value in a population is likely to become more common over time. This is because individuals with this characteristic are more likely to survive and reproduce, passing the trait on to their offspring. Over generations, this process, known as natural selection, can lead to an increase in the frequency of the advantageous trait in the population. Over time, the characteristic that has a high survival value in a population is likely to become dominant.
Thus, the required characteristic that has a high survival value in a population is likely to become dominant or common.
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Find the value of x
:]]]]
Answer:
175 degrees
Step-by-step explanation:
So we see that this is a supplementary angle, which means it is equal to 180/ So set the equations up and solve for x:
\(180=29+(x-5)\\180=24+x\\156=x\\\)
Then, plug 156 back into the equation:
\(180-5\\175\)
Therefore, your answer is 175 degrees
compute the complement 0.87
The complement of 0.87 is calculated by subtracting the given number from 1. Mathematically, this can be expressed as 1 - 0.87 = 0.13.
The complement of any number x is calculated by subtracting x from 1. This means that the complement of 0.87 is 0.13.
The complement of a number is used to find the remaining portion of a whole. For example, if the given number is 0.87, then the complement of 0.87 is 0.13. This means that 0.87 is 87% of the whole and 0.13 is the remaining 13%. Thus, the complement of 0.87 is 0.13.
Complements can also be used to find the probability of something happening. For example, if the probability of an event occurring is 0.87, then the probability of it not occurring is 0.13. This is because the sum of the probabilities must equal 1 (100%). Therefore, the complement of 0.87 is 0.13.
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Is the following English sentence a tautology? "I either attend class or I do not." Explain your answer by assigning letters to the elementary propositions in the sentence and writing the sentence as a logical proposition, then showing whether or not that proposition is a tautology.
The given English sentence is a tautology. The sentence "I either attend class or I do not" can be represented as a logical proposition using two elementary propositions: A for "I attend class" and B for "I do not attend class." The logical proposition becomes A ∨ B, where ∨ represents the logical operator "or."
To determine if this proposition is a tautology, we construct a truth table to evaluate all possible combinations of truth values for A and B. In this case, both A and B cannot be true simultaneously since attending and not attending class are mutually exclusive. Hence, the proposition A ∨ B is indeed a tautology, as it always evaluates to true regardless of the truth values assigned to A and B. Therefore, the given English sentence is a tautology. Let's analyze the possible truth values of A and B in a truth table:
| A |B | A ∨ B |
|----|----|---------|
| T |T | T |
| T |F | T |
| F |T | T |
| F | F | F |
As we can see, the proposition A ∨ B is true in all cases. This means that regardless of whether A is true or false, or whether B is true or false, the statement "I either attend class or I do not" is always true. It satisfies the definition of a tautology, which is a logical proposition that is true in every possible interpretation. Therefore, the given sentence is a tautology.
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Given points A(-1,4) and B(x,7), determine the value(s) of x if AB=5cm
The value of x is either 3 or -5 based on the distance formula.
What is a co-ordinate system?
In pure mathematics, a coordinate system could be a system that uses one or additional numbers, or coordinates, to uniquely confirm the position of the points or different geometric components on a manifold like euclidean space.
Main body:
according to question
Given points A(-1,4) and B(x,7)
Also AB = 5 cm
Formula of distance = \(\sqrt{(y1-y2)^{2}+(x1 -x2)^{2} }\)
here by using points ,
5 = \(\sqrt{(x+1)^{2} +(7-4)^{2} }\)
taking square on both side ,'
25 = \((x+1)^{2} +3^{2}\)
25-9 = (x+1)²
16 = (x+1)²
taking square root on both sides,
x+1= ±4
x = 4-1 = 3 or x = -4-1 = -5
Hence value of x is either 3 or -5.
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Divide and answer in simplest form :) 5/3÷3
Answer:
5/9
Step-by-step explanation:
5/3÷3
Copy dot flip
5/3 * 1/3
5/9
a quadrilateral must be a parallelogram if one pair of opposite sides is a. congruent, only b. parallel, only c. congruent and parallel d. parallel and the other pair of opposite sides is
a quadrilateral must be a parallelogram if one pair of opposite sides is congruent and parallel
A quadrilateral with two sets of opposing parallel sides is referred to as a parallelogram.To be a parallelogram, one pair of opposite sides must be congruent and parallel. Congruent means that two sides have the same measurements or length while parallel means that two lines never intersect. For example, if one pair of opposite sides is congruent and parallel, and the other pair of opposite sides is parallel, then the quadrilateral is a parallelogram. This is because the two pairs of opposite sides form parallel lines and the respective pairs have the same length. Therefore, the answer is c. congruent and parallel.
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The diameter of a hydrogen atom is about 1.05 cross times 10 to the power of negative 10 end exponentmeters. a protein molecule has an overall length of 3000 times (or 3 cross times 10 cubed times) the diameter of a hydrogen atom. what is the length of the protein molecule, in meters, if it were written in scientific notation?
The length of the protein molecule, in meters, is 208 × 10⁻⁹m.
What is an atom?An atom is a matter particle that defines a chemical element uniquely. An atom is made up of a central nucleus and one or more negatively charged electrons. The nucleus is positively charged and contains one or more protons and neutrons, which are relatively heavy particles.To find the length of the protein molecule:
Diameter of hydrogen atom = 104 × 10⁻¹⁰m
We are given that A protein molecule has an overall length of 2000 times (or 2 cross times 10 cubed times) the diameter of a hydrogen atom.
Length of protein molecule = 2000 × Diameter of the hydrogen atomLength of protein molecule = 2 × 10⁺³ × 1.04 × 10⁻¹⁰Length of protein molecule = 2 × 1.04 × 10⁻¹⁰⁺³Length of protein molecule = 2 × 1.04 × 10⁻⁷Length of protein molecule = 2.08 × 10⁻⁷Length of protein molecule = 208 × 10⁻⁷⁻²Length of protein molecule = 208 × 10⁻⁹mTherefore, the length of the protein molecule, in meters, is 208 × 10⁻⁹m.
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The correct question is given below:
The diameter of a hydrogen atom is about 1.04 cross times 10 to the power of negative 10 end exponent meters. A protein molecule has an overall length of 2000 times (or 2 cross times 10 cubed times) the diameter of a hydrogen atom. What is the length of the protein molecule, in meters, if it were written in scientific notation?
Case Study 12 Demand for regular daily admission tickets to the same theme park, based on average daily attendance, is given by D(p) = -7.7p2 + 495.8p + 10,000, where the regular admission price is Sp and D is the number of tickets demanded at that price. 5. The current regular daily admission price is $85. At this price, what is the elasticity of demand for tickets? Round to 3 decimal places. 6. Is the demand for tickets elastic or inelastic? Explain the meaning of your answer in the context of this problem. 7. Is revenue increasing or decreasing? 8. The park's Board of Directors is also considering raising the price of the regular daily admission ticket in 2023. Based on elasticity of demand, should they consider the increase? Explain your reasoning.
Previous question
Board of Directors should not consider raising the price
The elasticity of demand for tickets at the current regular daily admission price of $85 can be calculated using the formula:
Elasticity = (% change in quantity demanded) / (% change in price)
First, we need to find the quantity demanded at the current price. Using the demand function, D(p) = -7.7p^2 + 495.8p + 10,000:
D(85) = -7.7(85)^2 + 495.8(85) + 10,000 ≈ 6,724.5 tickets
Next, we find the derivative of the demand function with respect to price to calculate the rate of change:
dD(p)/dp = -15.4p + 495.8
At the price of $85, the rate of change is:
-15.4(85) + 495.8 ≈ -821.2
Now, we can calculate the elasticity of demand:
Elasticity = (-821.2/6,724.5) / (1/85) ≈ -1.569
Rounded to 3 decimal places, the elasticity of demand is -1.569. Since the elasticity is less than -1, the demand for tickets is elastic, meaning that a percentage increase in price will result in a larger percentage decrease in quantity demanded.
Given the elasticity of demand, if the price is increased, the revenue is expected to decrease, as fewer people will purchase tickets at the higher price. Therefore, based on the elasticity of demand, the Board of Directors should not consider raising the price of the regular daily admission ticket in 2023.
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