Answer:
A y>1
x>-2
Step-by-step explanation:
Option A is correct, y>1 and x>-2 is the system of inequalities that best matches the given graph.
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
In the given graph there are two lines.
The first line l₁ passes through the x axis at -2.
Which means the equation of line l₁ is x=-2
Now let us find the equation of the second line.
The line l₂ passes through 1
Which means equation of line l₂ is y=1.
Now let us find the inequality as there is a shaded region in the given graph.
The solutions to a linear inequality can be shown as a shaded region that represents the ordered pairs which make the inequality true.
y>1 and x>-2 is the required inequality of the graph as these are shaded away from the origin.
Hence, Option A is correct, y>1 and x>-2 is the system of inequalities that best matches the given graph.
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Which of the following is an example of figurative language?
fly: to glide through the air
fly: to die and go to heaven
fly: an insect
Answer:
the second one. Fly: to die and go to heaven
Step-by-step explanation:
I really need help plz
Answer:
Three years later, the coffin was still full of Jello.
Answer:
the last one should be the answer
Write the mathematical model and use Solver to answer the following question:
A farm co-op has 6,000 acres available to plant with corn and soybeans. Each acre of corn requires 9 gallons of fertilizer/herbicide and 0.75 hour of labor to harvest. Each acre of soybeans requires 3 gallons of fertilizer/herbicide and 1hour of labor to harvest. The co-op has available at most 40,501 gallons of fertilizer/herbicide and at most 5,250 hours of labor for harvesting. Find the maximum profit if the profits per acre are $75 for corn and $40 for soybeans. Round your answer to the nearest cent if necessary.
a. $210,000.00
b. $393,750.00
c. $371,255.83
d. $180,004.44
e. $318,744.17
The maximum profit if the profits per acre are $75 for corn and $40 for soybeans is $371,255.83. Therefore, the correct option is c.
To find the maximum profit from planting corn and soybeans, we can use linear programming. Let's first define the variables and write the constraints.
Let x be the number of acres of corn and y be the number of acres of soybeans.
1. Total acre constraint: x + y ≤ 6,000
2. Fertilizer/herbicide constraint: 9x + 3y ≤ 40,501
3. Labor constraint: 0.75x + y ≤ 5,250
The objective function to maximize is the profit function: P(x,y) = 75x + 40y
Now, we will use the Solver to find the maximum profit:
Step 1: Set up a spreadsheet with the constraints and the objective function.
Step 2: Go to the Data tab and click on Solver. If Solver is not available, you may need to add it in Excel Options.
Step 3: Set the objective function by selecting the cell with the profit function.
Step 4: Choose "Max" for the objective.
Step 5: Add the constraints by selecting the corresponding cells.
Step 6: Click on "Solve" and the Solver will find the optimal values for x and y.
After using Solver, we find that the optimal values are x = 4,363.89 (corn) and y = 1,636.11 (soybeans), which yields a maximum profit of $371,255.83. Therefore, the correct answer is c: $371,255.83
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what is 38.61+36.841
The sum of the two given decimal numbers is 75.451.
The given decimal numbers are 38.61 and 36.841.
Write the numbers in a column and align the decimal points before adding decimals. Put a decimal point immediately below the decimal points in the addends to maintain the decimal point in your sum. Decimal points should match up in the sum and addends, and a zero may be added if necessary.
Here,
38.610
+36.841
_______
75.451
Therefore, the sum of the two given decimal numbers is 75.451.
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Consider the function represented by with x as the independent variable. How can this function be written using function notation?
f(y)=-1/3y+4/3
f(x)=-3x+4
f(x)=-1/3x+4/3
f(y)=-3y+4
By function notation Therefore, f(x)=-1/3x+4/3 is the **correct answer*
What does functon notation mean?A function can be written using symbols using function notation. The value of the function at x is denoted by the symbol f(x). In other words, when x is the input, the function's output is f(x).
As an illustration, the function y = 2x + 1 can be written as f(x) = 2x + 1 in function notation. This indicates that the function returns 2x + 1 as its output when we pass an input of x into it.
Thus, a set of symbols or signs that designate items like phrases, integers, sentences, etc. is known as **function notation. Without a lengthy written description, function notation is a quicker way to describe a function.
A function can be written using symbols using function notation.
The value of the function at x is denoted by the symbol f(x). In other words, when x is the input, the function's output is f(x).
The function denoted by f(y) = -1/3y + 4/3 can be written as f(x) = -1/3x + 4/3 in function notation.
This is so because the independent variable x and the dependent variable y are one and the same.
By tradition, we refer to the function's value when the input is x as f(x).
Therefore, f(x)=-1/3x+4/3 is the **correct answer**.
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Find the width, in inches, of 65 mm film
find the point on the plane 2x − y + 2z = 20 nearest the origin.
Therefore, the coordinates of point P are approximately (4.444, -2.222, 4.444). This is the point on the plane 2x - y + 2z = 20 nearest to the origin.
To find the point on the plane nearest to the origin, we need to minimize the distance between the origin and a point on the plane.
The distance between two points, (x₁, y₁, z₁) and (x₂, y₂, z₂), is given by the formula:
distance = √((x₂ - x₁)² + (y₂ - y₁)² + (z₂ - z₁)²)
In this case, we want to find a point (x, y, z) on the plane 2x - y + 2z = 20 that is closest to the origin (0, 0, 0).
We can set up this problem as an optimization problem by minimizing the distance function:
distance = √((x - 0)² + (y - 0)² + (z - 0)²) = √(x² + y² + z²)
subject to the constraint 2x - y + 2z = 20.
To solve this problem, we can use the method of Lagrange multipliers. We define the Lagrangian function:
L(x, y, z, λ) = x² + y² + z² + λ(2x - y + 2z - 20)
Taking the partial derivatives of L with respect to x, y, z, and λ, and setting them equal to zero, we can solve for x, y, z, and λ. However, this process is quite lengthy and involves solving a system of equations.
Alternatively, we can use geometric intuition to find the point on the plane nearest to the origin. The normal vector to the plane is given by the coefficients of x, y, and z, which is (2, -1, 2). This vector is perpendicular to the plane.
The point on the plane closest to the origin will be the one that lies on the line perpendicular to the plane and passes through the origin. Let's call this point P.
The direction vector of the line passing through the origin and perpendicular to the plane is the same as the normal vector, (2, -1, 2). Therefore, the coordinates of point P can be expressed as (2t, -t, 2t), where t is a scalar parameter.
Substituting these coordinates into the equation of the plane, we get:
2(2t) - (-t) + 2(2t) = 20
4t + t + 4t = 20
9t = 20
t ≈ 2.222
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Someone please help am kind of stuck 10 points awarded and brainless please help and thank you
Answer:
157.92 + d = ?
Step-by-step explanation: Since you don't the amount of what his grandmother gave him you substitute the "number" for a letter. Example A or D.
I hope this helps.
The eigenvalue of a factor, or principal component in a PCA, report:
How much total variance that factor explains across all variables
The percentage of variance that factor explains of its highest loading variable
The value of an individual on that factor
How much a factor contributes to its own (eigen) variance
The eigenvalue of a factor also reflects how much that factor contributes to its own (eigen) variance, providing a measure of its stability and reliability in capturing the underlying variation in the data.
PCA (Principal Component Analysis), the eigenvalue of a factor, or principal component, reports the following information:
1. How much total variance that factor explains across all variables: The eigenvalue is an indicator of the overall impact of that particular factor in explaining the variance in the data.
2. The value of an individual on that factor: This is given by the eigenvector associated with the eigenvalue, which represents the weights or loadings for each variable in the dataset on the specific principal component.
Note that the eigenvalue does not directly report the percentage of variance that the factor explains of its highest loading variable, nor does it provide information about how much a factor contributes to its own (eigen) variance. However, the proportion of total variance explained by a factor can be calculated by dividing its eigenvalue by the sum of all eigenvalues, and this can be expressed as a percentage.
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this is what truthfully struggle with can someone explain how i do this please then imma try it on my own
Let f and g be polynomials of degree 3. Is it true that f ∘ g = g ∘ f?
A. Yes, always
B. No, it's only with polynomials with a degrees of 1
C. It is true in some cases
D. No, never
The true statement about the polynomials is (b) No, it's only with polynomials with a degrees of 1
How to determine the true statementGiven that the polynomials f and g have a degree of 3
The composition of two functions, f ∘ g (read as "f composed with g"), is not commutative in general, meaning that f ∘ g is not necessarily equal to g ∘ f.
This holds true for polynomials of degree 3 as well.
In fact, if f and g are two different polynomials of degree 3, then f ∘ g and g ∘ f will be different polynomials in general.
The equation f ∘ g = g ∘ f holds true is when f and g are constant polynomials, that is, polynomials of degree 0 or 1.
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In a correlational study examining the relationship between the use of alcohol and grades in college, it was found that a larger proportion of drinkers received low grades than did abstainers. The researcher should conclude that:
Based on the correlational study showing that a larger proportion of drinkers received low grades compared to abstainers, the researcher should conclude that there is a correlation between alcohol use and lower grades in college. However, it is important to note that correlation does not imply causation.
The findings of the study suggest that there is a relationship between alcohol use and academic performance in college. Specifically, the larger proportion of drinkers receiving low grades indicates a negative correlation between the two variables. This means that as alcohol use increases, the likelihood of receiving lower grades also increases.
However, it is crucial to recognize that correlation does not establish causation. The study's findings do not imply that alcohol use directly causes lower grades. There could be other factors at play, such as lack of study habits, poor time management, or personal characteristics that are associated with both alcohol use and lower academic performance.
To draw more definitive conclusions about the causal relationship between alcohol use and grades, further research would be required. Experimental studies with controlled variables and random assignment of participants would provide stronger evidence for understanding the impact of alcohol use on college grades.
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Use the Integrating Factor Method to solve the following differential equations: x⁴ dy/dx + 2x⁴y = x⁴e⁻ˣ
a) Rewrite the equation in Standard Form. b) Identify P(x). c) Identify Q(x). d) Evaluate Integrating Factor. e) Solve for the general solution.
The equation in Standard Form. b) Identify P(x). c) Identify Q(x). d) Evaluate Integrating Factor. e) Solve for the general solution are given below:
a) Rewrite the equation in Standard Form:
To rewrite the equation in standard form, divide the entire equation by x⁴:
dy/dx + 2y = e^(-x)
b) Identify P(x):
In standard form, the coefficient of the y term is 2, which is the function P(x). So, P(x) = 2.
c) Identify Q(x):
In standard form, the right-hand side of the equation is e^(-x), which is the function Q(x). So, Q(x) = e^(-x).
d) Evaluate the Integrating Factor:
The integrating factor (IF) is given by the exponential of the integral of P(x) with respect to x. In this case, the integrating factor is:
IF = e^(∫P(x)dx) = e^(∫2dx) = e^(2x)
e) Solve for the general solution:
Multiply the entire equation by the integrating factor (IF = e^(2x)):
e^(2x) * (dy/dx + 2y) = e^(2x) * e^(-x)
Simplify the left side by applying the product rule of exponents:
(e^(2x) * dy/dx) + 2y * e^(2x) = e^(x)
Notice that the left side is now in the form (f(x)g(x))' = f'(x)g(x) + f(x)g'(x), where f(x) = y and g(x) = e^(2x). Apply the product rule and simplify further:
(d/dx)(y * e^(2x)) = e^(x)
Integrate both sides with respect to x:
∫(d/dx)(y * e^(2x)) dx = ∫e^(x) dx
Integrating the left side gives:
y * e^(2x) = ∫e^(x) dx = e^(x) + C₁, where C₁ is the constant of integration.
Finally, solve for y by dividing both sides by e^(2x):
y = (e^(x) + C₁) / e^(2x)
This is the general solution to the given differential equation using the Integrating Factor Method.
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Simplify the following expression, combining terms as appropriate and combining and cancelling units:
(2.50 x m/s^2) (1000 km/1.00 x 10^3 m) (60.0 s/1.00 min)^2 = ?
The value of the given expression will be 9 x 10^7 m^2/s^2 min^2.
We can simplify the expression as follows:
First, simplify the units of the second term:
(2.50 x m/s^2) (1000 km/1.00 x 10^3 m) = (2.50 x m/s^2) (1000 x 10^3 m/km) = 2500 x m^2/s^2
Next, simplify the units of the third term:
(60.0 s/1.00 min)^2 = (60.0 s)^2/1.00 min^2 = 3600 s^2/min^2
Finally, multiply the two terms to obtain the final expression:
2500 x m^2/s^2 x 3600 s^2/min^2 = 9 x 10^7 m^2/s^2 min^2.
So, the expression evaluates to 9 x 10^7 m^2/s^2 min^2.
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PLEASE HELP ASAP!!!!!!!!! :)
Answer:
the first choice
Step-by-step explanation:
C reflection of point D over x and y axis
please help with this question
Answer:
First option is the correct answer
(-4, 3)
Step-by-step explanation:
Hope it helps you in your learning process.
What do u get when u Simplify (5b)(-3a).
a sign in the elevator of a college library indicates a limit of 16 persons. in addition, there is a weight limit of 2,500 pounds. assume that the average weight of students, faculty, and staff at this college is 155 pounds, that the standard deviation is 29 pounds, and that the distribution of weights of individuals on campus is approximately normal. a random sample of 16 persons from the campus will be selected.
The probability that a randomly selected group of 16 individuals from the campus will be selected is 0.8023 or 80.23%
Based on the sign in the elevator of the college library, the limit of 16 persons and weight limit of 2,500 pounds need to be adhered to. To ensure compliance with both limits, we need to consider both the number of people and their weight.
Assuming that the distribution of weights of individuals on campus is approximately normal with an average weight of 155 pounds and a standard deviation of 29 pounds, we can use this information to estimate the total weight of a group of 16 randomly selected individuals.
The total weight of a group of 16 individuals can be estimated as follows:
Total weight = 16 x average weight = 16 x 155 = 2480 pounds
To determine if this total weight is within the weight limit of 2,500 pounds, we need to consider the variability in the weights of the individuals. We can do this by calculating the standard deviation of the total weight using the following formula:
Standard deviation of total weight = square root of (n x variance)
where n is the sample size (16) and variance is the square of the standard deviation (29 squared).
Standard deviation of total weight = square root of (16 x 29^2) = 232.74
Using this standard deviation, we can calculate the probability that the total weight of the group of 16 individuals is less than or equal to the weight limit of 2,500 pounds:
Z-score = (2,500 - 2,480) / 232.74 = 0.86
Using a standard normal distribution table or calculator, we can find that the probability of a Z-score less than or equal to 0.86 is approximately 0.8023.
Therefore, the probability that a randomly selected group of 16 individuals from the campus will comply with both the number and weight limits in the elevator of the college library is approximately 0.8023 or 80.23%.
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sorry guys i really hate geometry
Answer:
54.3
Step-by-step explanation:
4/3 x pi x 2.35^3
Square ABCD is inscribed in a circle of radius 3. Quantity A Quantity B 20 The area of square region ABCD Quantity A is greater. Quantity B is greater. The two quantities are equal. The relationship cannot be determined from the information given.
The relationship between Quantity A (area of square ABCD) and Quantity B (20) cannot be determined from the information given.
We are given that square ABCD is inscribed in a circle of radius 3. However, the length of the sides of the square is not provided, which is crucial to determine the area of the square. Without knowing the side length, we cannot compare the area of the square (Quantity A) to the value of 20 (Quantity B).
The area of a square is calculated by squaring its side length. If the side length of the square is greater than the square root of 20, then Quantity A would be greater. If the side length is smaller, then Quantity B would be greater. Without additional information, we cannot determine the relationship between the two quantities.
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Which expression is represented by the diagram?
Answer:
Its A.
Step-by-step explanation:
hope this helps.
The expression which is represented by the graph will be -6 -(-1) so the correct option will be (A).
What is the expression?An equation can be defined in numerous ways. Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions.
More than one variable may be present inside a linear equation. An equation is said to be linear if the maximum power of the variable is consistently unity.
A formula known as an equation uses the same sign to denote the equality of two expressions.
In given figure the, one box represents -1
Now there are total 6 box = -1 times 6 = -6
Now the last box is removed it means it should be subtracted from all the box
-6 - ( One box) = -6 -(-1) hence option A will be correct.
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what are the steps to answer the equation 2 + 1 over 6y = 3x +4
2+1/6y=3x+4
3/6y=3x+4
3=3x+4×6y
3-4=3x×6y
-1=18xy
-1/18=xy
HOPE ITS RIGHT!! GIVE BRAINLIEST PLS
Answer:
Y would have to equal 1 over 2(3x+4) in order for this equation to even work properly. 2+1 over 6 would actually equal 1/2y which is basically 3/6y. And since 3 and 6 are like terms 3 divided by 3 is 1 and 6y divided by 3 is 2y
Hope this helps
A student said that 42% of 78 is 45. Is this answer reasonable? Explain.
WORTH 20 POINTS
Answer:
42% can round to 40%, and 78 can round to 80. 40% of 80 is 32, so 42% of 78 should be about 32. 45 is much greater than 32, so the answer is not reasonable.
Step-by-step explanation:
if we define our population as all the households in the city of chicago, and we use the chicago telephone directory from which to draw our sample units, we would likely have: a. a survey with sample frame error. b. a representative survey. c. a survey containing error. d. a census.
If we define our population as all the households in the city of Chicago and use the Chicago telephone directory to draw our sample units, we would likely have a survey with sample frame error. Correct option is A.
Sample frame error occurs when the sampling frame, in this case, the Chicago telephone directory, does not accurately represent the population of interest.
In this case, the telephone directory would exclude households without a landline phone or those who choose not to have their phone number listed. This means that the sample would not include all households in the population, leading to biased results.
A representative survey (option B) would be one in which the sample accurately represents the population in terms of relevant characteristics such as age, gender, income, education, and other important demographic factors.
In contrast, a survey containing error (option C) is a general term that includes both sampling error and non-sampling error, such as measurement error or response bias.
Finally, a census (option D) is a study in which data is collected from all individuals or units in a population, not just a sample. Therefore, using a telephone directory to draw a sample from the population does not constitute a census.
In conclusion, using the Chicago telephone directory to draw a sample of households would likely result in a survey with sample frame error, which can lead to biased results and limit the generalizability of the findings to the entire population.
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helpppppp anyone pleaseeee
Answer:
C) 20.9ft
Step-by-step explanation:
Length= 120/360* 2(10)π
20/3 π
L = 20.9ft
Therefore, your answer is option C) 20.9ft.
Hope this answers your question.
How does g(x) = 3* change over the interval from x = 8 to x = 10?
The answer is: g(x) increases by a factor of 9.
What is change in interval?
In mathematics, the term "interval" refers to a range of values between two endpoints. A change in interval refers to a shift or movement of this range along the number line.
There are two types of changes that can occur in an interval: a shift or a stretch.
A shift occurs when the interval is moved left or right along the number line. For example, if we start with the interval [0, 5] and shift it to the right by 2 units, we get the new interval [2, 7]. Similarly, if we shift it to the left by 3 units, we get the new interval [-3, 2].
A stretch occurs when the interval is expanded or compressed. For example, if we start with the interval [0, 5] and stretch it by a factor of 2, we get the new interval [0, 10]. If we compress it by a factor of 1/3, we get the new interval [0, 5/3].
Changes in interval are important in many areas of mathematics, including calculus, where they are used to describe the domain and range of functions, and in geometry, where they are used to define the length and area of shapes.
The function g(x) = 3ˣ represents exponential growth.
To determine how g(x) changes over the interval from x=8 to x=10, we can evaluate g(10) and g(8) and compare the ratios:
g(10) = 3¹⁰ = 59,049
g(8) = 3⁸ = 6,561
The ratio of g(10) to g(8) is:
g(10)/g(8) = 59,049/6,561 = 9
Therefore, g(x) increases by a factor of 9 over the interval from x=8 to x=10.
The answer is: g(x) increases by a factor of 9.
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Pls. Help find these answers?!
Answer:
12
Step-by-step explanation:
Answer:
1) 12 boxes
2) 3, 6, 12
3) 12
4) 110 degrees
Step-by-step explanation:
1) Count the rectangles. Multiply the length of the rectangle in boxes to the width of rectangle in boxes.
Length: 4 boxes
Width: 3 boxes
4 x 3 = 12
12 boxes
2)
10% of 30 is 0.1 times 30.
0.1 x 30 = 30/10 = 3
20% of 30 is 0.2 times 20.
0.2 x 30 = 30/5 = 6
40% of 30 is 0.4 times 20.
0.4 x 30 = 30/2.5 = 12
3) Count the cubes. Reminder there are 2 boxes you cannot see.
Top Layer: 2
Middle Layer: 4
Back Bottom Layer: 4
Front Bottom Layer: 2
2 + 4 + 4 + 2 = 12
4) I cannot see the semicircle clearly, but I do know that a circle is 360 degrees. A semicircle, half of a circle, is 180 degrees.
180/18 (The angle of each section)
10
11 Sections
10 x 11 = 110
If a system of equations has no solution, what does the graph look like?
Answer:
Step-by-step explanation:
Mateus’s bank issued an advertisement saying that 90\%90%90, percent of its customers are satisfied with the bank’s services. Since he himself wasn't very satisfied, he suspected the ad is false. He surveyed a random sample of 808080 of the bank’s customers, and found that only 80\%80%80, percent were satisfied. Let's test the hypothesis that the actual percentage of satisfied customers is 90\%90%90, percent versus the alternative that the actual percentage is lower than that. The table below sums up the results of 100010001000 simulations, each simulating a sample of 808080 customers, assuming there are 90\%90%90, percent satisfied customers. According to the simulations, what is the probability of getting a sample with 80\%80%80, percent satisfied customers or less?
Answer:
The probability of getting a sample with 80% satisfied customers or less is 0.0125.
Step-by-step explanation:
We are given that the results of 1000 simulations, each simulating a sample of 80 customers, assuming there are 90 percent satisfied customers.
Let \(\hat p\) = sample proportion of satisfied customers
The z-score probability distribution for the sample proportion is given by;
Z = \(\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }\) ~ N(0,1)
where, p = population proportion of satisfied customers = 90%
n = sample of customers = 80
Now, the probability of getting a sample with 80% satisfied customers or less is given by = P( \(\hat p \leq\) 80%)
P( \(\hat p \leq\) 80%) = P( \(\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }\) \(\leq\) \(\frac{0.80-0.90}{\sqrt{\frac{0.80(1-0.80)}{80} } }\) ) = P(Z \(\leq\) -2.24) = 1 - P(Z < 2.24)
= 1 - 0.9875 = 0.0125
The above probability is calculated by looking at the value of x = 2.24 in the z table which has an area of 0.9875.
Answer:
Step-by-step explanation:
A car traveled 98.8 miles in 1.9 hours. Rate is found by dividing distance by time. What is the rate in miles per hour? Pls I need answers right away
Divide miles by time:
98.8 / 1.9 = 52 miles per hour