the number t of tickets sold at a concert is a function of the ticket cost c. which is the independent and dependant variable? is the domain discrete or continuous?
Answers
The independent variable is the ticket cost (c), and the dependent variable is the number of tickets sold (t).
The domain of the function could be either discrete or continuous, depending on the specific function and the way the ticket prices are set. For example, if the ticket prices are set in increments of $5, the domain would be discrete, and if the ticket prices can take on any value in a certain range, the domain would be continuous.
Domain TypeThe independent variable is considered to be the variable that is manipulated or controlled, while the dependent variable is the outcome or result that is affected by the manipulation of the independent variable.
In this case, the ticket cost (c) is the independent variable, because it is the factor that is being controlled or changed, and the number of tickets sold (t) is the dependent variable because it is the outcome that depends on the cost of the tickets.
To determine if the domain is discrete or continuous, you would need to examine the specific function and the way the ticket prices are set. For example, if the ticket prices are set in increments of $5, the domain would be discrete, meaning that it consists of separate, distinct values.
On the other hand, if the ticket prices can take on any value in a certain range, the domain would be continuous, meaning that it consists of all the values in a range without any gaps or interruptions.
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Related Questions
3 (q − 7) = 27
EXPLAIN PLEASE AND TYSM
Answers
Answer: q = 16
Step-by-step explanation:
When given the equation 3(q - 7) = 27, you would solve for the variable.
The variable in this equation is q, so we need to isolate the variable.
Solving process:
3(q - 7) = 27
lets distribute, due to the orders of PEMDAS.
PEMDAS stands for: Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction.
3(q - 7) = 27
distributing is multiplying the number correlated outside of the parenthesis with the inside components.
3q - 21 = 27
lets add 21 to both sides
3q = 48
now lets divide by 3 (we are trying to get q by itself)
q = 16
----
To check if your solution is correct, you replace the value (16) of the variable (q) within the original equation:
3 (16 − 7) = 27
Following PEMDAS you get:
3(9) = 27
27 = 27 (meaning that the solution is correct)
Thank you.
\( \: \)
\( \frak{3q - 21 = 27}\)\( \: \)
\( \frak{3q = 27 + 21}\)\( \: \)
\( \frak{3q = 48}\)\( \: \)
\( \frak{q = \cancel{ \frac{48}{3}} }\)\( \: \)
\( \underline{ \boxed{ \frak{ \red{ \: q = 16 \: }}}}\)\( \: \)
hope it helps! :)
You multiply two integers and the product is -18. List 4 possible pairs of integers
Answers
The possible pairs of integers that has product -18 is: (9, -2), (18, -1), (6, -3), (3, -6), (2, -9)
We need to find the four possible pairs of integers that has product -18
Let x and y be two required integers.
Since the product is negative, one of the integer must be negative integer.
x y x*y
9 -2 -18
2 -9 -18
18 -1 -18
-1 18 -18
6 -3 -18
3 -6 -18
Therefore, the possible pairs of integers that has product -18 is: (9, -2), (18, -1), (6, -3), (3, -6), (2, -9)
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HELP PLS I NEED AN ANSWER FAST
Answers
Step-by-step explanation:
\(y = a {b}^{x} \\ b = \frac{0.0006}{0.006} = 0.1 \\ a = 6 \\ y =6 \times {0.1}^{x} \)
Solve the following system of equations. 4x = 15y 17 + y = -13
Answers
1. Which equation represents a line that passes through the point (-2,6) and is parallel to the line whose equation is 8x – 4y = 6?
Answers
Answer:
y=2x+10
Step-by-step explanation:
First, let's put the equation into slope-intercept form. We get y=2x-3/2.
Parallel lines have the same slope, so the slope of the line will be 2.
We then substitute the point into the equation to find the y-intercept.
We get y=2x+10
Hope this helps :-)
70% of the customers at the local ice cream shop order their ice cream on a sugar cone. assuming that the next ten customers order independently of one another, what is the probability that exactly seven of them order sugar cones?
Answers
The probability that exactly seven of them order sugar cones is 0.27.
Since in this question, we have a fixed number of trials (ten customers) and each trial has only two possible outcomes (sugar cone or not sugar cone), we can solve this question using the binomial distribution.
According to the question the probability of ordering a sugar cone is 0.7 and not ordering is 0.3
The probability mass function for the binomial distribution is:
P(X=k) = (n choose k) * p^k * (1-p)^(n-k)
where n is the number of trials, k is the number of successes(ordering sugar cone), and p is the probability of success.
So, using this formula we get,
P(X=7) = (10 choose 7) * 0.7^7 * 0.3^3 = 0.2668 ≈0.27
Therefore, the probability that exactly seven of the next ten customers will order sugar cones is 0.27.
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Suppose the derivative of function f is
f'(x) =(x+1)^2(x-3)^5(x-6)^4
On what interval is f increasing?
Answers
The function f is increasing on the interval (6, ∞).
The function f will be increasing in the intervals where f'(x) > 0.
To find these intervals, we can examine the sign of each factor of f'(x), which is (x + 1)²(x - 3)⁵(x - 6)⁴.
We can analyze the sign of f(x) by considering the factors individually:
(x+1)²: This factor is always positive since it is the square of a real number.
(x - 3)⁵: This factor is positive when x>3 and negative when x< 3.
(x - 6)⁴: This factor is positive when x>6 and negative when x< 6.
We need to consider the overlapping regions of positivity for each factor.
When x>6, all three factors are positive, so f ′ (x) is positive.
When 3<x<6: In this interval, the factor (x+1)² is positive, but both (x−3)⁵ and (x−6)⁴ are negative.
Thus, f ′ (x) is negative.
When x<−1: In this interval, (x+1)² is negative, while (x−3)⁵ and (x−6)⁴ are positive.
Hence, f ′ (x) is negative.
Therefore, the function f(x) is increasing on the interval x>6.
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Question 1:
Question 2:
Please solve both questions
6 The region bounded by the curves y= and the lines x= 1 and x = 4 is revolved about the y-axis to generate a solid. Х a. Find the volume of the solid. b. Find the center of mass of a thin plate cove
Answers
Find the center of mass of a thin plate cove given, the region bounded by the curves y= and the lines x=1 and x=4 is revolved about the y-axis to generate a solid and we need to find the volume of the solid.
It is given that the region bounded by the curves y= and the lines x=1 and x=4 is revolved about the y-axis to generate a solid.(i) Find the volume of the solidWe have, y= intersects x-axis at (0, 1) and (0, 4). Hence, the y-axis is the axis of revolution. We will use disk method to find the volume of the solid.Volumes of the disk, V(x) = π(outer radius)² - π(inner radius)²where outer radius = x and inner radius = 1Volume of the solid generated by revolving the region bounded by the curve y = , and the lines x = 1 and x = 4 about the y-axis is given by:V = ∫ V(x) dx for x from 1 to 4V = ∫[ πx² - π(1)²] dx for x from 1 to 4V = π ∫ [x² - 1] dx for x from 1 to 4V = π [ (x³/3) - x] for x from 1 to 4V = π [(4³/3) - 4] - π [(1³/3) - 1]V = 21π cubic units(ii) Find the center of mass of a thin plate coveThe coordinates of the centroid of a lamina with the density function ρ(x, y) = 1 are given by:xc= 1/A ∫ ∫ x ρ(x,y) dAyc= 1/A ∫ ∫ y ρ(x,y) dAzc= 1/A ∫ ∫ z ρ(x,y) dAwhere A = Area of the lamina.The lamina is a thin plate of uniform density, therefore the density function is ρ(x, y) = 1 and A is the area of the region bounded by the curves y= and the lines x= 1 and x = 4.Now, xc is the x-coordinate of the center of mass, which is obtained by:xc= 1/A ∫ ∫ x ρ(x,y) dAwhere the limits of integration for x and y are obtained from the region bounded by the curves y= and the lines x= 1 and x = 4, as follows:1 ≤ x ≤ 4and0 ≤ y ≤The above integral can be written as:xc= 1/A ∫ ∫ x dA for x from 1 to 4 and for y from 0 toTo evaluate the above integral, we need to express dA in terms of dx and y. We have:dA = dx dyNow, we can write the above integral as:xc= 1/A ∫ ∫ x dA for x from 1 to 4 and for y from 0 toxc= 1/A ∫ ∫ x dx dy for x from 1 to 4 and for y from 0 toOn substituting the limits and the values, we get:xc= [1/(21π)] ∫ ∫ x dx dy for x from 1 to 4 and for y from 0 to= [1/(21π)] ∫[∫(4-y) y dy] dx for x from 1 to 4= [1/(21π)] ∫[4∫ y dy - ∫y² dy] dx for x from 1 to 4= [1/(21π)] ∫[4(y²/2) - (y³/3)] dx for x from 1 to 4= [1/(21π)] [(8/3) ∫ [1 to 4] dx - ∫ [(1/27) (y³)] [0 to ] dx]= [1/(21π)] [(8/3)(4 - 1) - (1/27) ∫ [0 to ] y³ dy]= [1/(21π)] [(8/3)(3) - (1/27)(³/4)]= [32/63π]Therefore, the x-coordinate of the center of mass is 32/63π.
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Put these numbers in order from smallest to largest: -26, -12.7, -4.5, 0.02, 7, 11.25, 20.5, 35, 0
Answers
Answer:
-26, -12.7, -4.5, 0, 7, 11.25, 20.5, 35.
Step-by-step explanation:
I hope this helps you, have a wonderful day! :D
The entries in the index of the National Codes are listed under one main term. True or False?
Answers
it helps to organize and categorize large amounts of information, making it more accessible and manageable. This organizational structure helps users to locate specific codes and information efficiently. indexing system True.
The National Codes index lists entries under one main term, which is usually a broad topic or subject area. Under each main term, there may be several subentries that provide more specific details or categories related to the main term. This type of indexing system allows users to quickly and easily find information related to a specific topic, without having to search through an entire document or database. Additionally, it helps to organize and categorize large amounts of information, making it more accessible and manageable.
In the index of the National Codes, entries are listed under one main term to ensure easy navigation and understanding of the content. This organizational structure helps users to locate specific codes and information efficiently.
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The _______ of a probability experiment is the collection of all possible outcomes. a. outcome b. sample space c. event d. unusual event e. experiment
Answers
Answer:B.Sample space
Step-by-step explanation:
The population density of a certain region is 50 people per square kilometer. If the region covers 35 square kilometers, what is the population of the region?
Answers
Answer:
my dad can answer that wait a minute
Match the missing parts of the triangle with their correct length or measure.
HINT: The ONLY right triangles we are given in this problem are ADB and BDC. Triangle ABC is NOT necessarily a right triangle.
Given:
DB=24
AD=32
AC=42
DC=10
BC=26
AB=40
Measure
Measure of
Find:
Measure
Measure
Measure
Measure
Measure
Answers
The length of DB, AD and AC are 24 m, 32 m, 42 m respectively. The measurement of ∠C = 67.38°.
What is a right angle triangle?
A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or formerly rectangled triangle, is a triangle with one right angle, or two perpendicular sides. The foundation of trigonometry is the relationship between the sides and various angles of the right triangle.
Given that, in △BCD
BD = 24 m
DC = 10 m
BC = 26 m
△BCD is a right angle triangle.
The trigonometry ratio of sine is ratio of height to hypothenuse.
With respect to C, the height of △BCD is 24m and hypothenuse is 26m.
sin C = height/hypothenuse
sin C = 24/26
C = 67.38°
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Hannah's soccer team is trying to raise $4,048 to travel to a tournament in Florida, so they decided to host a pancake breakfast. Each person must pay $23 for the breakfast. How many people need to attend their breakfast in order to raise $4,048?
Answers
Which ordered pair is NOT a solution of y = 2x +1?
A. (3,7)
B. (0,1)
C. (-1,1)
D. (-3,-5)
Answers
Answer:
C. y=2x+1
2×3=6
6+1=7
2×0=0
0+1=1
2×-1=-2
-2+1=-1
therefore answer=C
In a School Management Committee, men contribute Nx each and women Ny each to the maintenance fund. At one meeting, 8 men and 10 women gave a total of N7000. At another meeting, 12 men and 4 women gave a total of N7200. Find the values of x and y.
Answers
In a School Management Committee, men contribute Nx each and women Ny each to the maintenance fund. The value of x and y is
x = 500y = 300How to determine the value of the x and yInformation from the given problem is represented as follows
8x + 10y = N7000 (1)
12x + 4y = N7200 (2)
The equation formed is a consistent independent set of equation with two unknown variables and two equations
solved by elimination method as follows
multiplying (2) by 2.5
30x + 10y = 18000
8x + 10y= 7000
subtracting (1) from (2)
22x = 11000
x = 500
substituting x = 500 into (1)
8 * 500 + 10y = 7000
10y = 7000 - 4000
y = 300
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The mean is ? = 137.0 and the standard deviation is ? = 5.3.
Find the probability that X is between 134.4 and 140.1.
0.4069
0.6242
0.8138
1.0311
Answers
The probability that X is between 134.4 and 140.1 is approximately 0.4076, which is closest to the option 0.4069.
To calculate this probability, we need to standardize the values using the standard normal distribution. First, we find the z-scores for the lower and upper bounds:
z1 = (134.4 - 137.0) / 5.3 ≈ -0.4906
z2 = (140.1 - 137.0) / 5.3 ≈ 0.5849
Next, we use a standard normal distribution table or a calculator to find the probabilities associated with these z-scores. The probability corresponding to z1 is P(Z < -0.4906) ≈ 0.3131, and the probability corresponding to z2 is P(Z < 0.5849) ≈ 0.7207.
To find the probability that X is between 134.4 and 140.1, we subtract the probability associated with the lower bound from the probability associated with the upper bound:
P(134.4 < X < 140.1) = P(Z < 0.5849) - P(Z < -0.4906) ≈ 0.7207 - 0.3131 = 0.4076.
As a result, the chance that X lies between 134.4 and 140.1 is roughly 0.4076, which is closest to the value of 0.4069 for the option.
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Which equation of a line contains the points (-10,15) and (8, -3) and is parallel to y +4= -(x - 1)?
Answers
Answer:
y= -x+5
Step-by-step explanation:
The slope of the two parallel lines is equal
so, the slope of
y=-x-3 is -1
slope=y2-y1/x2-x1=-3-15/8--10=-1
the equation of the line is
y-15= -1(x--10)
y= -x-10+15
y= -x+5
Considering the expression of a line and parallel lines, you obtain, the correct answer is third option: the equation of the line that passes through the pair of points (-10,15) and (8, -3) is y= -x +5.
Definition of linear equationA linear equation o line can be expressed in the form y = mx + b
where
x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.Knowing two points (x1, y1) and (x2, y2) of a line, the slope m of said line can be calculated using the following expression:
\(m=\frac{y2-y1}{x2-x1}\)
Substituting the value of the slope m and the value of one of the points in the expression of a linear equation, y = mx + b, the value of the ordinate to the origin b can be obtained.
Definition of parallel linesParallel lines are two lines that always maintain the same distance and if they were extended to infinity they would never touch.
That is, parallel lines are two or more lines that never intersect.
Parallel lines are characterized by having the same slope.
Linear equation in this caseSo, in this case, being (x1,y1)= (-10,15) and (x2,y2)= (8,-3), the slope m can be calculated as:
\(m=\frac{-3-15}{8-(-10)}\)
\(m=\frac{-18}{18}\)
m=-1
So, being y= -1x + b and considering point 1, you obtain:
15= -1×(-10) +b
15= 10 + b
15-10=b
5= b
So, the equation of the line is y=-1x + 5= -x +5
To know if this line is parallel to y +4= -(x - 1), in first place you must rearrange this second equation of a line:
y +4= -x +1
y=-x +1 -4
y= -x-3
You can see that both equations of a line have -1 as the slope value m.
Finally, the correct answer is third option: the equation of the line that passes through the pair of points (-10,15) and (8, -3) is y= -x +5.
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What is the distance between the points
(-9,4) and
(3, -12)?
Answers
Answer:
20
Step-by-step explanation:
https://www.calculatorsoup.com/calculators/geometry-plane/distance-two-points.php
What level of measurement is required of the independent variable (iv) and dependent variable (dv) to conduct a chi-square analysis?
Answers
The level of measurement is required of the independent variable (iv) and dependent variable (dv) to conduct a chi-square analysis is "the chi-squared test for independence."
What is chi-square test?A chi-square (X²) statistic is a test which compares a model to real observed data. A chi-square statistic requires data that is random, raw, mutually exclusive, obtained from independent variables, & drawn from a large enough sample. Tossing a fair coin, for example, meets these criteria.
Some key features regarding chi-square test are-
Chi-square analysis is excellent for assessing such disparities in categorical variables, particularly nominal variables.X² is determined by the amount of the discrepancy between the observed and real values, its degrees of freedom, as well as the sample size.X² can be used to figure out if two variables are connected or independent.It can also be used to determine the goodness-of-fit between being an observed distribution or a theoretical frequency distribution.To know more about chi-square test, here
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which is the smallest measurement used in the apothecary system for volume? a. apothecary b. metric c. minim d. household.
Answers
The smallest measurement used in the apothecary system for volume is the minim.
The apothecary system is an outdated system of measurements primarily used in pharmacy and medicine. It includes various units for measuring volume, weight, and other quantities.
In the apothecary system, the minim is the smallest unit of measurement for volume. It is equivalent to approximately 0.0616 milliliters.
The minim is a small unit of measurement and is typically used for precise dosing of liquids in the apothecary system. It is commonly used in pharmaceutical compounding and in the preparation of medications.
However, it's important to note that the apothecary system is no longer widely used in modern healthcare practices. The metric system, with units such as milliliters and liters, has become the standard for measuring volume in most countries.
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write the equation in slope intercept form for the line that passes through (-2,2) and is parallel to 2x+4y=16
Answers
Answer:
Step 1 - Find the gradient of 2x + 4y = 162x + 4y = 16
4y = 16 - 2x
y = 4 - 1/2x
gradient = -1/2
Step 2 - Find the Equationy - y1 = m(x - x1)
m = gradient, (x1, y1) = (-2,2)
y - 2 = -1/2 (x + 2)
y - 2 = -1/2x - 1
y = -1/2x + 1 → ANSWER
Hope it helps!
How many times will the following loop execute?
int x = 0;
do {
x++;
cout << x << endl;
}while(x < 5)
Answers:
a. - 5 times
b. - 4 times
c. - It doesn't
d. - Infinite times
e. - 6 times
Answers
Answer:
Step-by-step explanation:
The loop will run an infinite number of times
can someone please help me with number 4,6,9,10
Answers
#9 min ml mo
Find x in this 45°-45°-90° triangle.
x=
Answers
Answer:
33
Step-by-step explanation:
because a triangle measure 90 degrees so you just subtract the amount that you add and got
Answer: 11 square root of 2
Enter the rational number in the form
a/b , where a and b are integers.
−14 =
Answers
Answer:
\( - 14 = - \frac{14}{1} = \frac{ - 14}{1} \)
if numerous samples of n = 15 are taken from a uniform distribution and a relative frequency distribution of the means is drawn, what would be the shape of the frequency distribution?
Answers
The shape of the frequency distribution of the means would tend to approximate a normal distribution,
If numerous samples of size n = 15 are taken from a uniform distribution, the shape of the frequency distribution of the means would tend to approximate a normal distribution, regardless of the shape of the original distribution.
This is known as the Central Limit Theorem, which states that as the sample size increases, the distribution of sample means approaches a normal distribution, regardless of the shape of the population distribution, as long as certain conditions are met (such as random sampling and a sufficiently large sample size).
The Central Limit Theorem is a fundamental result in statistics and is widely applicable. It is one of the reasons why the normal distribution is commonly encountered in various fields, even when the underlying data may not follow a normal distribution.
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Someone pls help me I will make you as brain
Answers
Answer:
k= 4
Step-by-step explanation:
g(x) is the units higher than f(x) which means k=4
Explanation: I got it right
The radius of a circle is increasing at a constant rate of 7 centimeters per minute. At the instant when the radius of the circle is 88 centimeters, what is the rate of change of the area? Round your answer to three decimal places.
Answers
The rate of change of the area is 3868.48 cm2/min
What in math is a rate?
A rate is a unique ratio where the two words are expressed in several units. For instance, the price is 69 for 12 ounces if a 12-ounce can of maize costs 69. This is not a proportion of two comparable units, like shirts. This ratio compares two dissimilar units: ounces and cents
A = A(r) (r)
r = r(t) (t)
A = A(r(t))
The chain rule can be used to resolve this kind of issue.
Rate of area change:
(dA/dr)(dr/dt) = dA/dt
A=r2 dA/dr = 2r
dr/dt [given] = 7 cm/min
(2r)(7 cm/min) = (dA/dt)
If r = 88 cm,
dA/dt = 2π (88 cm) (7 cm/min) ≅ 3868.48 cm2/min
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I cover a certain distance in 3 hours. If my speed increases by 1/3, why is my travel time not also reduced by 1/3 (so travel the same distance in 2 hours)?
Answers
Answer:
t = 2.25 h
Step-by-step explanation:
In the case, I cover distance d in 3 hours
d = 3 * v₁ (1)
In the second case my speed increase by 1/3 then my speed is
v₁ + (1/3) v₁ = (3/3 + 1/3 ) *v₁
my new speed is (4/3) * v₁ and
d = (4/3)*v₁ * t (2)
Dividing (2) by (1) we get
1 = (4/3) *v₁*t/ 3*v₁
1 = (4/9)*t
t = 9/4 h
t = 2.25 h