Answer:
25 tickets were purchased ahead of time
Explanation and Check part below
Hope this helps :)
Step-by-step explanation:
1)
25
× 11
------
275
2)
625
-275
--------
350
3)
350 ÷ 14 = 25
Check:
350 (dollars from purchased ahead of time)
+275 (dollars from purchased at the door)
--------
$ 625 (total ticket sales stated in the word problem)
Determine if the following equation has x-axis symmetry, y -axis symmetry, origin symmetry, or none of these. Y = -|x/3| SOLUTION x-Axis Symmetry y-Axis symmetry Origin Symmetry None of these.
To determine if the equation y = -|x/3| has x-axis symmetry, y-axis symmetry, or origin symmetry, we can analyze the behavior of the equation when we replace x with -x or y with -y.
X-Axis Symmetry: To check for x-axis symmetry, we replace y with -y in the equation and simplify:
-y = -|x/3|
By multiplying both sides by -1, the equation becomes:
y = |x/3|
Since the equation does not remain the same when we replace y with -y, it does not exhibit x-axis symmetry.
Y-Axis Symmetry: To check for y-axis symmetry, we replace x with -x in the equation and simplify:
y = -|(-x)/3| = -|-x/3| = -|x/3|
By multiplying both sides by -1, the equation becomes:
-y = |x/3|
Again, the equation does not remain the same when we replace x with -x, indicating that it does not exhibit y-axis symmetry.
Origin Symmetry: To check for origin symmetry, we replace both x and y with their negative counterparts in the equation and simplify:
-y = -|(-x)/3| = -|-x/3| = -|x/3|
By multiplying both sides by -1, the equation becomes:
y = |x/3|
Once more, the equation does not remain the same when we replace both x and y with their negatives, showing that it does not possess origin symmetry.
Therefore, the equation y = -|x/3| does not exhibit x-axis symmetry, y-axis symmetry, or origin symmetry.
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how do i write a composition of transformations that maps a polygon onto another polygon that are congruent
Answer:A conductor is mapping a trip and records the distance the train travels over certain time intervals. time (hours) Distance (miles) 0.5 22.5 1 45 1.5 67.545 The train travels at a constant speed. What is its speed in miles per hour?
Step-by-step explanation:
do not uses this site i got all my answers wrong going here
A manager of a deli gathers data about the number of sandwiches sold based on the number of customers who visited the deli over several days. The
table shows the data the manager collects, which can be approximated by a linear function.
Customers
104
70
111
74
170
114
199
133
163
109
131
90
Sandwiches
If, on one day, 178 customers visit the deli, about how many sandwiches should the deli manager anticipate selling?
To estimate the number of sandwiches the deli manager should anticipate selling when 178 customers visit the deli, we can analyze the given data and approximate it using a linear function.
By observing the table, we notice that the number of sandwiches sold varies with the number of customers. This indicates a relationship between the two variables.
To estimate the number of sandwiches, we can fit a line to the data points and use the linear function to make predictions. Using a statistical software or a spreadsheet, we can perform linear regression analysis to find the equation of the best-fit line. However, since we are limited to text-based interaction, I will provide a general approach.
Let's assume the number of customers is the independent variable (x) and the number of sandwiches is the dependent variable (y). Using the given data points, we can calculate the equation of the line.
After calculating the linear equation, we can substitute the value of 178 for the number of customers (x) into the equation to estimate the number of sandwiches (y).
Please provide the data points for the number of sandwiches sold corresponding to each number of customers so that I can perform the linear regression analysis and provide a more accurate estimate for you.
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please help with these! I am so confused
Answer:
81°
Step-by-step explanation:
180°=37°+62°+x°
180-37=143
143-62=81
x=81
Write the equation of the line, in point-slope form. Identify (x1, y1) as the point (-2, 2). Use the box provided to submit all of your calculations and final answers.
Answer:
Slope: -1
Point-Slope Form: y - 2 = -1 (x - (-2))
Step-by-step explanation:
Answer: y-2=-1(x+2)
Step-by-step explanation: use whichever points you want I’m using (-2,2)
Find slope: y2-y1/x2-x1 so 2+2/-2-2 = 4/-4 = -1
Plug in these into y-y1= m(x-x1)
y-2= -1(x+2)
don't spam!! complete answe= Brainliest answer
Answer:
Step-by-step explanation:
Finding final velocity.
\(\boxed{v_{f}=v_{i} + at}\\\\v_{f} -- > final \ velocity\\\\v_{i} -- > Initial velocity\)
a -> accelaration
t ---> time
\(v_{i} = 7 \ m/s\)
a = 2 m/s²
t = 5 s
\(v_{f}= 7 + 2*5\)
= 7 + 10
= 17 m/s
10) h = 5 m
g = -10m/s²
\(t =\sqrt{\dfrac{2*h}{g}}\\\\ =\sqrt{\dfrac{2*5}{10}}\\\\= \sqrt{\dfrac{10}{10}}\\\\= 1\)
t = 1 sec
On a piece of paper graph y = 2x-4 then determine which answers
matches the graph you drew
The graph shown in the equation y = - 2x - 4 is the graph that corresponds to that equation. The answer is option (B).
What is graph?A data structure called a graph is used to show the mathematical connection between two or more objects. It is made up of nodes and edges, where nodes stand in for individual things and edges for the connections between them. In computer science, graphs are used to solve a variety of issues, including finding the shortest path between two points and figuring out whether a graph contains cycles. In addition, social networks, transportation networks, and many other kinds of networks can all be represented using graphs.
Option B's graph is the one that corresponds to the equation y = - 2x - 4.
The following is how the equation is written in slope-intercept form:
It is -2 degrees.
-4 is the intercept.
This shows that the slope of the graph is negative and that the trend line crosses the y axis at a negative four-degree angle.
The only graph with a negative slope and a -4 intercept is the one for option B.
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Complete question attached below,
The distance between City A and City B is 250 miles. A length of 1.7 feet represents this distance on a certain wall map. City C and City D are 3.06 feet apart on this map. What is the actual distance between City C and City D?
dy 2. (a) Check that the first order differential equation 3x dy/dx-3y=10(5/xy^4) is homogeneous and dx hence solve it (express y in terms of x) by substitution. (b) Find the particular solution if y(t)
The equation is \(y = (C'x)^{-1/3}\).
Since the equation is not homogeneous, we need to find the particular solution using a method such as variation of parameters or the method of undetermined coefficients.
We have,
a)
To check if the equation is homogeneous, we need to replace y with kx, where k is a constant.
So, y = kx
Differentiating both sides with respect to x, we get:
dy/dx = k
Now, substituting y = kx and dy/dx = k in the given differential equation:
\(3x(k) - 3(kx) = 10(5/(x(kx)^4))\\3kx - 3kx = 50/(k^4 x^3)\\0 = 50/(k^4 x^3)\)
Since this equation holds only if k=0, the equation is not homogeneous.
To solve the given differential equation, we can divide both sides by 3xy^4 to get:
\((dy/dx)/y^4 - (1/x)y^{-3} = (50/3x^2)y^{-4}\)
Now, we can substitute\(u = y^{-3}\) to get:
du/dx = -\(u = y^{-3}\)3y^{-4} dy/dx
Substituting this in the given differential equation, we get:
(1/3x)du/dx - (50/3x²)u = 0
This is a linear first-order differential equation, which can be solved using an integrating factor.
Multiplying both sides by the integrating factor exp(-50/3x), we get:
(exp(-50/3x)u)' = 0
Integrating both sides, we get:
exp(-50/3x)u = C
where C is the constant of integration.
Substituting back for u, we get:
exp(-50/3x)y^{-3} = C
Solving for y, we get:
\(y = (C'x)^{-1/3}\)
where C' is a new constant of integration.
b)
Since the equation is not homogeneous, we need to find the particular solution using a method such as variation of parameters or the method of undetermined coefficients.
Thus,
The equation is \(y = (C'x)^{-1/3}\).
Since the equation is not homogeneous, we need to find the particular solution using a method such as variation of parameters or the method of undetermined coefficients.
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Estimate 25.65 + 13 23 +6 35 by rounding each number to the nearest tenth
Answer:
45 (Forty Five)
Step-by-step explanation:
I think
Please I needddd helppp is it correct or do I need to change something
I need help ASAP I will give BRAINLIEST
If this trapezoid is moved through the
translation (x-1, y+1), the coordinate of
A' will be:
5
B
C
4
3
A А
D
1
1
-3
4
-1 0
-7
4
- 2
2.
3
-6 -5
-1
A' = ([?], [ ]
-2
Enter
Answer:
(-7, 3)
Step-by-step explanation:
-6-1=-7 2+1=3
The area of a rectangle is x^2x -8
whats the dimension of the rectangle?
Answer:
Step-by-step explanation:
sussy
the number of cars one sees passing by the local playground in an afternoon is modeled using a poisson distribution with mean 25. the proportion of black cars in the stream is 1/5. the color of the cars is independent of the number of cars that drive by. what is the probability that exactly 5 black cars and exactly 10 non-black cars drive by in a particular afternoon?
The probability that exactly 5 black cars and exactly 10 non-black cars drive by in a particular afternoon is approximately 0.00167.
The probability that exactly 5 black cars and exactly 10 non-black cars drive by on a particular afternoon is
\($$P(X_b=5,X_{nb}=10)=\frac{e^{-\lambda}\lambda^{5}}{5!}\cdot\frac{e^{-\lambda}\lambda^{10}}{10!}\cdot\frac{1}{5^{5}}\cdot\frac{4}{5}^{10}$$\), where \($X_b$\) are the number of black cars and \($X_{nb}$\) the number of non-black cars passing by the playground in the afternoon. Since the color of the cars is independent of the number of cars that drive by, we can model the number of black and non-black cars using two separate Poisson distributions with means
\($\lambda_b = \frac{1}{5}\cdot25=5$ and $\lambda_{nb}=25-5=20$\), respectively.
Plugging in the values and simplifying, we get:
\($$P(X_b=5,X_{nb}=10)=\frac{e^{-5}5^{5}}{5!}\cdot\frac{e^{-20}20^{10}}{10!}\cdot\frac{1}{5^{5}}\cdot\frac{4^{10}}{5^{10}}\approx 0.00167$$\)
Therefore, the probability that exactly 5 black cars and exactly 10 non-black cars drive by in a particular afternoon is approximately 0.00167.
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What expressions represent the sum of 2 divided by x and 15
The number of hours of sunshine in Barbados for successive days during a and 11.8. Find the daily certain week were 11.1, 11.9, 11.2, 12.0, 11.7, 12.9 average. The following week the daily average was 11 hours. How many more hours of sunshine were there the first week than the second?
Answer:
5.6
Step-by-step explanation:
11*7=77
11.8*7= 82.6
82.6-77=5.6
evaluate using spherical coordinates: ∫∫∫2zx2 y2 z2−−−−−−−−−−√dxdydz , where t : 0≤x≤16−y2−−−−−−√,0≤y≤4,0≤z≤16−x2−y2−−−−−−−−−−√
∫0^(2π) ∫0^(π/2) 1/5 sin^2 φ cos^2 θ [16^5 sin^5 φ - (16 - 4 sin^2 φ)^5] cos φ dφ dθ this integral is difficult to evaluate analytically, but we can use numerical methods or a computer program to obtain an approximation.
To evaluate the given triple integral using spherical coordinates, we need to express the integrand in terms of spherical coordinates and then determine the limits of integration. The conversion between Cartesian and spherical coordinates is given by:
x = ρ sin φ cos θ
y = ρ sin φ sin θ
z = ρ cos φ
where ρ is the radial distance, φ is the polar angle (measured from the positive z-axis), and θ is the azimuthal angle (measured from the positive x-axis in the xy-plane).
The Jacobian of the transformation is ρ^2 sin φ, so the integrand in spherical coordinates is:
2ρ^4 sin φ cos θ sin^2 φ cos^2 θ
The limits of integration are determined by the region of integration in Cartesian coordinates. From the given limits, we have:
0 ≤ x ≤ 16 - y^2
0 ≤ y ≤ 4
0 ≤ z ≤ 16 - x^2 - y^2
Converting these inequalities to spherical coordinates, we get:
0 ≤ ρ sin φ cos θ ≤ 16 - ρ^2 sin^2 φ sin^2 θ
0 ≤ ρ sin φ sin θ ≤ 4
0 ≤ ρ cos φ ≤ 16 - ρ^2 sin^2 φ cos^2 φ
Solving for the limits of integration, we get:
0 ≤ ρ ≤ 4
0 ≤ φ ≤ π/2
0 ≤ θ ≤ 2π
The triple integral can now be expressed as:
∫∫∫2zx^2 y^2 z^2−−−−−−−−−−√dxdydz
= ∫0^(2π) ∫0^(π/2) ∫0^4 2ρ^4 sin φ cos θ sin^2 φ cos^2 θ dρ dφ dθ
Integrating with respect to ρ first, we get:
∫0^(2π) ∫0^(π/2) 1/5 sin^2 φ cos^2 θ [16^5 sin^5 φ - (16 - 4 sin^2 φ)^5] cos φ dφ dθ
This integral is difficult to evaluate analytically, but we can use numerical methods or a computer program to obtain an approximation.
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how many terms are in the following expression?
The number of terms in the expression, 6 + 2 x - 4 y + 5 z is 4 terms.
How to find the number of terms ?In the expression 6 + 2x - 4y + 5z, the number of terms is four, not the number of signs. The terms in this expression are:
62 x- 4 y 5 zEach term is separated by an operator (either addition or subtraction), which is represented by a sign. Therefore, the expression contains three addition signs and one subtraction sign.
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The full question is:
How many terms are in the following expression 6 + 2 x - 4 y + 5 z
Suppose you are investigating the relationship between two variables, traffic flow and expected lead content, where traffic flow is a predictor of lead content. You find the 95% CI for expected lead content when traffic flow is 15, based on a sample of n 10 observations, is (461.7, 598.1) What parameter is this interval estimating? O ? the average change in lead content with a change in traffic flow. ?Lead Content!Traffic flow = 15 the average lead content when traffic flow is 15. O ?Lead Content the average lead content. calculate a CI with confidence level 99% for expected lead content when traffic flow is 15" (Round your answers to one decimal place.) X430.7 629.1
The interval (461.7, 598.1) is estimating the parameter of expected lead content when traffic flow is 15, denoted as Lead Content|Traffic flow = 15. This interval represents the range of values where we can be 95% confident that the true population parameter lies, based on the sample data collected.
To calculate a 99% confidence interval for Lead Content|Traffic flow = 15, we would need to use the same sample data and formula as for the 95% confidence interval but using a higher level of significance. Assuming the underlying assumptions of normality, independence, and constant variance are met, a 99% confidence interval would be wider than the 95% interval. Therefore, we would expect the 99% confidence interval for Lead Content|Traffic flow = 15 to be (430.7, 629.1), which represents a larger range of values where we can be more confident that the true population parameter lies.
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Write the coordinates of the image after a reflection in the given line
Answer:
see explanation
Step-by-step explanation:
under a reflection in the x- axis
a point (x, y ) → (x, - y ) , then
A (0, 2 ) → A' (0, - 2 )
B (1, - 3 ) → B' (1, 3 )
C (2, 4 ) → C' (2, - 4 )
PLEASE I NEED HELP ASAP!!!!
I will give brianliest if you have explanation and workings!!
Answer:
6.85
Step-by-step explanation:
a^2+3.4^2=7.65^2
a^2=46.96
a=6.85
I used Pythagorean theorem, I hope I am right
Jeff's preferences can be represented by the following utility function U = In x + In y.
a. What is Jeff's demand function for good x? If Px = 1, Py=2 and W = 200, how much x does he consume?
b. If Px increases to 2, calculate the compensating variation.
c. Calculate the total effect, the substitution effect and the income effect of the price change.
After considering the given data we conclude that the answer for the sub questions are
a) Jeff consumes 33.33 units of good x.
b) the compensating variation is:
\(CV=W'-W=2(50)-200=-100CV\)
c) The income effect is negative, indicating that Jeff will consume less of good x due to the decrease in purchasing power caused by the price increase.
a. To find Jeff's demand function for good x, we can use the following equation:
\(\frac{\partial U}{\partial x}=\frac{1}{x}=\frac{p_x}{p_y}=\frac{1}{2}\)
Solving for x, we get:
\(x=\frac{1}{2}y\)
Substituting the given values, we get:
\(x=\frac{1}{2}(200/3)=33.33\)
Therefore, Jeff consumes 33.33 units of good x.
b. If Px increases to 2, the new demand function for good x is:
\(x'=\frac{1}{2}y'\)where y' is the amount of good y consumed at the new prices and income. To find the compensating variation, we need to find the amount of income Jeff would need at the original prices to achieve the same level of utility as he does at the new prices. We can use the following equation:
\(W'=W+CV\) where W is the original income, W' is the new income, and CV is the compensating variation.
Substituting the given values, we get:
\(8.51=\ln(33.33)+\ln(66.67)8.51=ln(33.33)+ln(66.67)\)
\(y'=\frac{W'}{2}\)
\(x'=\frac{1}{2}y'\) Solving for y', we get:
y'=100
Solving for x', we get:
x'=50
Therefore, the compensating variation is:
\(CV=W'-W=2(50)-200=-100CV\)
c. To calculate the total effect, substitution effect, and income effect of the price change, we can use the following equations:
\(TE=\frac{\Delta U}{U_0}\)
\(SE=\frac{\Delta x_s}{x_0}\)
\(IE=\frac{\Delta x_i}{x_0}\)where \(\Delta U\)is the change in utility, \(U_0\) is the initial utility,\(\Delta x_s\) is the change in consumption due to the substitution effect, \(x_0\) is the initial consumption, and \(\Delta x_i\) is the change in consumption due to the income effect.
The change in consumption due to the price change can be calculated as:
as:
\(\Delta x=x'-x_0=\frac{1}{2}y'-\frac{1}{2}y_0\)
where \(y_0=2x_0\) and \(y'=2x'\)
Substituting the given values, we get:
\(\Delta x=x'-x_0=50-33.33=16.67\)
The substitution effect can be calculated as:
\(SE=\frac{\Delta x_s}{x_0}=\frac{x_s'-x_0}{x_0}=\frac{1}{2}\frac{y_0-y_s'}{x_0}=\frac{1}{2}\frac{p_x}{p_y}\frac{y_0}{x_0}\)
Substituting the given values, we get:
\(SE=\frac{1}{2}\frac{1}{2}\frac{2x_0}{4x_0}=\frac{1}{4}\)
The income effect can be calculated as:
\(IE=\frac{\Delta x_i}{x_0}=\frac{\Delta W}{W_0}=\frac{CV}{W_0}\)
Substituting the given values, we get:
\(IE=\frac{-100}{200}=-0.5\)
The total effect can be calculated as:
\(TE=SE+IE=\frac{1}{4}-0.5=-0.25\)
Therefore, the total effect of the price change is negative, indicating that Jeff will consume less of good x as a result of the price increase. The substitution effect is positive, indicating that Jeff will consume more of good x due to the relative price change. The income effect is negative, indicating that Jeff will consume less of good x due to the decrease in purchasing power caused by the price increase.
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which of the following is a solution to the equation 0=x^2+6x+4
Answer:
\(x=-3\pm\sqrt{5}\)
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASAlg I
Standard Form: ax² + bx + c = 0Quadratic Formula: \(x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}\)Step-by-step explanation:
Step 1: Define
x² + 6x + 4 = 0
a = 1
b = 6
c = 4
Step 2: Find x
Substitute: \(x=\frac{-6\pm\sqrt{6^2-4(1)(4)} }{2(1)}\)Evaluate: \(x=\frac{-6\pm\sqrt{36-4(1)(4)} }{2(1)}\)Multiply: \(x=\frac{-6\pm\sqrt{36-16} }{2}\)Subtract: \(x=\frac{-6\pm\sqrt{20} }{2}\)Simplify: \(x=\frac{-6\pm2\sqrt{5} }{2}\)Factor: \(x=\frac{2(-3\pm\sqrt{5}) }{2}\)Simplify: \(x=-3\pm\sqrt{5}\)the answer to this problem
Answer: A. Multiply the input number by 6
Step-by-step explanation: Each of these numbers are multiplied by 6. Hope this helped!
2 x 6 = 12
6 x 6 = 36
8 x 6 = 48
9 x 6 = 54
12 x 6 =72
HI PLEASE HELP NEED ANSWERS ASAP :(!!
please someone help me out asap! Need this done
Answer:
3^6
Step-by-step explanation:
3^8 * 3^-2
3^(8-2)
3^6
find the value of x in the Triangle shown below 6. 10
We can use Pythagoras's theorem expression:
\(h^2=a^2+b^2\)Where h is the hypotenuse of the triangle and a and b are its legs, in this case, we have the value of the length of one leg and the value of the length of the hypotenuse, then we can solve for the other leg length like this:
\(\begin{gathered} h^2=a^2+b^2 \\ h^2-a^2=b^2 \\ b^2=h^2-a^2 \\ b=\sqrt[]{h^2-a^2} \end{gathered}\)Now let's replace the values from the figure, b is x, h is 10 and a is 6
\(\begin{gathered} b=\sqrt[]{h^2-a^2} \\ x=\sqrt[]{10^2-6^2} \\ x=\sqrt[]{100-36} \\ x=\sqrt[]{64} \\ x=8 \end{gathered}\)Then, x equals 8
What is the answer? Please help I am very confused, I’ve tried watching the video and looking up how to do it but I’m still confused.
Answer:
Perimeter of given rectangle: 114
Perimeter of dilated rectangle: 38
Area of given rectangle: 810
Area of dilated rectangle: 90
Step-by-step explanation:
We have the given rectangle with 27 width and 30 length
then the dilated rectangle with 1/3 factor will be 27/3 = 9 width and 30/3 = 10 length
Perimeter of given rectangle
P = 2(l + w) = 2(27 + 30) = 114
Perimeter of dilated rectangle
P = 2(l + w) = 2(9 + 10) = 38
Area of given rectangle
A = lw = 27 x 30 = 810
Area of dilated rectangle
A = lw = 9 x 10 = 90
How to determine if slopes are for parallel lines, perpendicular lines, or neither.
When two lines are graphed on a coordinate plane, they can be either parallel, perpendicular, or neither. Here's how to determine if slopes are for parallel lines, perpendicular lines, or neither:Slopes of Parallel LinesParallel lines have the same slope.
If two lines have slopes that are the same or equal, the lines are parallel. The slope-intercept equation for a line is y = mx + b. Where m represents the slope of the line and b represents the y-intercept.Slopes of Perpendicular LinesPerpendicular lines have slopes that are negative reciprocals of each other. The product of the slopes of two perpendicular lines is -1.
This is because the negative reciprocal of any non-zero number is the opposite of its reciprocal. In other words, if you flip a fraction, the numerator becomes the denominator and vice versa, then multiply the result by -1.To summarize, two lines are parallel if they have the same slope, perpendicular if their slopes are negative reciprocals of each other, and neither parallel nor perpendicular if their slopes are neither equal nor negative reciprocals of each other.
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Help...please I need this fast
Answer:
sorry I'm not the best with math and sorry if I just waisted your time... :)