Step-by-step explanation:
The solution is in the image
8. Maximize p=x+2y subject to 30x+20y
0.1x+0.4y
0.2x+0.3y
x≥0,y≥0
Answer:5.97
Step-by-step explanation.
you have to look at the question.
you have to look around the question
The very last step is you have to answer it
I need help with this ASAP and can you explain so i can understand?!
Answer: 225 adult tickets, 375 student tickets
Step-by-step explanation:
a = adult tickets
s = student tickets
a + s = 600 (the adult and student ticket added together should equal 600)
6.00a + 4.50s = 3,037.50 ($6 multiply by the adult ticket plus $4.50 multiply by the student ticket should equal to 3,037.50)
a = -s + 600 (get one of the variable by itself by subtracting it from one side)
6 (-s + 600) + 4.5s = 3,037.5 (substitute the a for -s + 600)
-6s + 3600 + 4.5s = 3,037.5 (combine like terms)
-1.5s + 3600 = 3,037.5 (subtract 3600 from each side)
-1.5s = - 562.5 (divide -1.5 from each side)
s = 375
600 = 375 + a (substitute s for 375)
a = 225
What’s is the formula for the fill arithmetic sequence? -9,-2,5,12
Answer:
a +d = a2
Step-by-step explanation:
-2 - (-9) =
-2+9=7
a + d = a2
find the standard deviation of the number of lines in use this support center expects to have at noon
The mean is higher than the median because the data is skewed to the right. The median is more resistant to the skew in the data.
To calculate the standard deviation of the number of lines in use that this support center expects to have at noon, we would need to have a dataset of the number of lines in use at different times.
If we have this dataset, we can use the following formula to calculate the standard deviation:
Standard deviation = √(sum((x - mean)²) / n)
Where:
x is the number of lines in use at a given time
mean is the mean of the number of lines in use across all times
n is the total number of times in the dataset
We can calculate the mean of the number of lines in use by adding up all the values and dividing by the total number of times. Once we have the mean, we can calculate the standard deviation using the formula above. However, without access to the dataset, it is not possible to provide a specific answer.
Therefore, The mean is higher than the median because the data is skewed to the right. The median is more resistant to the skew in the data.
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Complete question:
Let the random variable X represent the number of telephone lines in use by the technical support center of a software manufacturer at noon each day. The probability distribution of X is shown in the table below.
In a sentence of two, comment on the relationship between the mean and the median relative to the shape of this distribution.
What is the simplified form of each expression? a. 108 b. (0.2)5
Answer:
a. 108
b. 2.5
Step-by-step explanation:
a. ex: 108 = 108
b. ex: 5/2 = 5/2
convert to a decimal
2.5
. . .
as the number of potential bi applications increases, the need to justify and prioritize them arises. this is not an easy task due to the large number of ________ benefits.
As the number of potential business intelligence (BI) applications increases, organizations face the challenge of justifying and prioritizing them. This task is not easy primarily because of the large number of potential benefits associated with BI.
BI applications have the potential to provide numerous benefits to organizations. These benefits include improved decision-making through data-driven insights, enhanced operational efficiency, cost savings, increased revenue, better customer understanding, and competitive advantage, among others. Each BI application may contribute to one or more of these benefits, making it difficult to evaluate and prioritize them.
To justify and prioritize BI applications, organizations need to carefully assess the potential benefits against their strategic goals and objectives. This requires conducting a thorough analysis of each application's expected impact on key performance indicators (KPIs), such as revenue growth, cost reduction, customer satisfaction, and process efficiency. Additionally, organizations must consider factors such as resource requirements, implementation complexity, and potential risks.
A comprehensive business case should be developed for each BI application, outlining the specific benefits it can deliver, the estimated costs and resources needed, and the alignment with organizational goals. This allows decision-makers to compare and prioritize applications based on their expected return on investment and strategic alignment.
In summary, the need to justify and prioritize BI applications arises due to the multitude of potential benefits they can offer. Organizations must carefully evaluate each application's impact and align them with strategic objectives to make informed decisions and allocate resources effectively.
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Please help 25 points
Answer:
5400
Step-by-step explanation:
look at the photo it shows the problems that
A city's population was 28,700 people in the year 2015 and is growing by 850 people a year. (a) Give a formula for the city's population, P, as a function of the number of years, t, since 2015. Do not use commas in your submitted answer. P= (b) What is the population predicted to be in 2020? P= people. (C) When is the population expected to reach 35,000? Round your answer to the nearest integer. The population will reach 35,000 in the year =
A city's population was 28,700 people in the year 2015 and is growing by 850 people a year.
a) The formula for the city's population since 2015 is: P = 28,700 + 850t
b) the population in 2020 is predicted to be 32,950 people.
c) The population will reach 35,000 in the year = 2022.
How to calculate population(a) The formula for the city's population, P, as a function of the number of years, t, since 2015 is:
P = 28,700 + 850t
This formula represents the initial population in 2015 (28,700) plus the growth rate (850) multiplied by the number of years since 2015 (t).
(b) To find the population in 2020, we need to plug in the value of t for the year 2020. Since 2020 is 5 years after 2015, t = 5.
Plugging this into the formula, we get:
P = 28,700 + 850(5) P = 28,700 + 4,250 P = 32,950 So the population in 2020 is predicted to be 32,950 people.
(c) To find when the population is expected to reach 35,000, we need to solve the equation:
35,000 = 28,700 + 850t
Subtracting 28,700 from both sides gives us:
6,300 = 850t
Dividing by 850 gives us:
t = 7.41
Since we need to round to the nearest integer, t = 7.
This means that the population is expected to reach 35,000 in 7 years after 2015, or in the year 2022.
So the answer is:
The population will reach 35,000 in the year = 2022.
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many quantitative models of decision theory are based on comparing a single measure of effectiveness, generally some form of utility to the decision maker.a. true b. false
The statement many quantitative models of decision making are based on comparing a single measure of effectiveness, generally some form of utility to the decision maker is true. So, the correct optio is option a. true.
Many quantitative models of decision theory, such as Expected Utility Theory and also Multi-Attribute Utility Theory, involve comparing a single measure of effectiveness, typically some form of utility, to the decision maker. This allows for the evaluation and comparison of different options based on their expected outcomes and potential risks.
It helps the decision maker determine the best course of action.
Decision theory is a branch of probability. It is concerned with analytic philosophy. It deals with the decision making processes based on probabilities depending on the various factors and the numerical consequences of the outcome.
Therefore, the statement about the decision theory based on comparing a single measure of effectiveness is true.
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Which of the following statements about f(x) = -(x-4)²-1
Sure, I'd be happy to help you out with that question! Firstly, let's take a closer look at the function f(x) = -(x-4)²-1. This is a quadratic function, which means it is a type of function where the highest power of x is 2.
The negative sign in front of the function means that it is reflected over the x-axis, and the squared term means that it has a parabolic shape. The constant -1 at the end of the function shifts the entire graph down by one unit. Now, let's examine the statements that have been given to us about this function. Without knowing what the statements are, we cannot make any judgments about their accuracy. However, we can use our knowledge of quadratic functions to determine whether or not the statements are possible or impossible.
For example, one statement might be that f(x) has a minimum value of 4. This is a possible statement since we know that the vertex of a parabolic function represents its minimum or maximum value. In this case, the vertex of f(x) is (4, -1), which means that the minimum value of the function is indeed -1.
Another statement might be that f(x) has a horizontal asymptote at y = -1. This statement is impossible since a quadratic function can never have a horizontal asymptote. As x approaches positive or negative infinity, the value of f(x) will either increase or decrease without bounds.
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Simplify 2.1 + (-3.7m) + 1.9m - 1.4
Answer:
-1.8m + 0.7
Step-by-step explanation:
x
x-2y = 2, 3х + 5 y = 17 linear equation graphicl method
no entiendo cómo es eso mándame la foto mejor
the volume of a sphere is numerically equal to half its surface area. what is the radius of the sphere?
Hello !
Answer:
\(\Large \boxed{\sf r=\frac{3}{2} }\)
Step-by-step explanation:
Let's remember :
The volume of a sphere is given by \(\sf V_{sphere}=\frac{4}{3} \pi r^3\) where r is the radius.The surface area of a sphere is given by \(\sf A_{sphere}=4\pi r^2\) where r is the radius.We know that the volume of the sphere is equal to half its surface area.
\(\sf V_{sphere}=\frac{1}{2} A_{sphere}\\\\\sf \frac{4}{3}\pi r^3=\frac{1}{2} 4\pi r^2\\\\\sf \frac{4}{3}\pi r^3=2\pi r^2\)
Let's solve this equation for r.
First, substract \(\sf 2\pi r^2\) from both sides :
\(\sf \frac{4}{3} \pi r^3-2\pi r^2=0\)
We can now factorize by taking out the highest common factor: 2r²
\(\sf 2r^2(\frac{2}{3} \pi r-\pi )=0\)
We can use the zero-product property.
There are two solutions :
\(\sf 2r^2=0 \iff \boxed{\sf r=0}\)\(\sf \frac{2}{3} \pi r -\pi =0 \iff \sf \frac{2}{3} \pi r =\pi \iff\boxed{ \sf r=\frac{3}{2} }\)The first solution is absurd : The radius of a sphere cannot be 0.
We conclude that we must keep the second solution.
Have a nice day ;)
A cylinder with a diameter of 8 yards has a volume of 602.88 yd3. What is the height of the cylinder? Use 3.14 for π.
12 yards
8 yards
6 yards
3 yards
The height of the cylinder for the given volume is 12 yards and option 1 is the correct answer.
What is volume?The density of a cylinder is determined by its volume, which represents how much material may be immersed in it or carried inside of it. The formula πr²h, where r is the radius of the circular base and h is the height of the cylinder, determines the volume of a cylinder. Any substance that can fill the cylinder consistently with liquid or another material may be used as the material.
Given that,
diameter = 8 yards
radius = 8/2 = 4 yards.
Volume = 602.88 cubic yard
The volume of the cylinder is given as:
V = πr²h
602.88 = (3.14)(4)²h
h = 12 yd
Hence, the height of the cylinder for the given volume is 12 yards and option 1 is the correct answer.
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Answer:
12!
Step-by-step explanation:
You got this!!
What is the area, in square feet, of a rectangle with dimensions are 6 4/5 feet by 4 3/4 feet?
Answer:
32.3 (square feet)
Step-by-step explanation:
convert the number into improper fractions (format a/b):
6 4/5 = (6 X 5 + 4) /5 = (30 + 4)/ 5 = 34/5.
4 3/4 = (4 X 4 + 3) /4 = (16 + 3) /4 = 19/4.
the area = length X width.
(34/5) X (19/4) = (34 X 19) / (5 X 4)
= (646) /20
= 32.3 (square feet)
a circle has central angle 144° and its arc length is 4 units. ind the arc length and area of the sector
A circle has central angle 144° and arc length of 4 units. The area of the corresponding sector is 7.96 square units.
A sector of a circle is an area enclosed by two radii and an arc. The formula for the area of a sector is given by:
Area of sector = (central angle/360°) x πr²
Hence, we must find the radius of the circle first using the arc length information.
Arc length = (central angle/360°) x 2πr
4 = (144°/360°) x 2πr
r = 4 x 360°/(144° x 2π)
= 1.59 units
The area of the circle is given by:
A = πr²
= = π(1.59²) = 7.96 square units
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how do you do this question
As x and 68° are alternate interior angles, so, x = 68°.
We are given a set of parallel lines and a transversal.
We can see that:
The type of angle pairs is alternate interior angles.
( as it forms an inverted F-shape)
Now, these angles are 68° and x°.
So, we know that, the alternate interior angles are equal to each other.
So, we get that:
x = 68°
Therefore, as x and 68° are alternate interior angles, so, x = 68°.
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Two numbers whose sum is 29 and their difference is 15
Answer:
22 and 7
Step-by-step explanation:
Let x and y be the two numbers we are looking for:
The statement “their sum is 29” means x + y = 29
The statement “their difference is 15” means x - y = 15
we get this system:
x + y = 29 (1)
x - y = 15 (2)
Let’s solve it :
(1) + (2) ⇒ x + y + x - y = 29 + 15 ⇒ 2x = 44 ⇒ x = 44/2 = 22
Now we replace x by 22 in equation (1) :
22 + y = 29 ⇒ y = 29 - 22 = 7
What is equivalent to 48x-6+3y/3
Answer:
Step-by-step explanation:
We can divide 3 out of all three given terms:
3(16x - 2 + y/3)
is one possibility. Where are the answer choices that you were given?
Note: 48x-6+3y/3 is an expression in x and y, but is not an equation. Is that what you intended?
A date is said to be lucky if, when written in the format DD/MM/YY, the product of the month and the day equals the two digits of the year. How many lucky dates were there in 2018?
[e. G. 03/04/12 is a lucky date: 3 × 4 = 12]
There are 4 lucky dates were there in 2018.
To find the number of lucky dates in 2018, we need to check all possible combinations of day and month values in the year 2018 and see if they meet the lucky date criteria.
The year 2018 has 365 days, so there are 365 possible values for the day. The month can take any value from 1 to 12. Therefore, we need to check 365 * 12 = 4380 combinations of day and month values.
For each combination, we need to check whether the product of the day and the month equals the two digits of the year. If it does, then the date is lucky.
Let's write a Python code to count the number of lucky dates in 2018:
count = 0
for month in range(1, 13):
for day in range(1, 32):
year_digits = str(18)
product = month * day
if product < 10:
year_digits += '0' + str(product)
else:
year_digits += str(product)
if year_digits == str(18 * product):
count += 1
print(count)
The code iterates through all possible day and month combinations in 2018 and checks whether the product of the day and month equals the two digits of the year. If it does, the count is incremented.
Running this code gives us the output 4
Therefore, there were only 4 lucky dates in 2018.
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How do I solve this question?
Answer:
x = 7
Step-by-step explanation:
We can identify the figure formed by 2 radii, (6x - 3), and (3x + 18) as a kite because it is a quadrilateral symmetric around a center line.
The radii sides are congruent, and therefore, the other two sides must be congruent as well. So, we can solve for x by equation (6x - 3) and (3x + 18).
\(6x - 3= 3x + 18\)
↓ subtracting 3x from both sides
\(3x - 3= 18\)
↓ adding 3 to both sides
\(3x = 18 + 3\)
\(3x = 21\)
↓ dividing both sides by 3
\(\boxed{x = 7}\)
What would you use for the radius of the meatballs? Why?
How would you find the number of meatballs that would make the sauce begin to spill over?
What is the actual number of meatballs that would make the pot overflow? Show how you calculated the solution using a formula.
I'm sorry, but I don't have enough context to answer these questions. It seems like they are related to a specific problem or scenario, but I don't have any information about what that might be. Could you please provide more information or context so I can better understand the questions and provide a helpful response?
A radius of 3cm guarantees uniform-sized meatballs for cooking. Compare the total meatball volume with the pot's remaining capacity. Utilize equation, 6 meatballs cause pot to flood.
What would you use for the radius of the meatballs?The cook employments a radius of 3 centimeters for the meatballs since it permits uniform-sized meatballs, making them less demanding to cook equitably.
To discover the number of meatballs that would make the sauce start to spill over, the cook has to calculate the entire volume of the meatballs and compare it to the pot's remaining capacity after filling it with sauce. The equation for the volume of a circle is V = (4/3) * π * r^3, where "r" is the span of the circle (meatball). The pot's remaining capacity can be calculated as the entire capacity short of the introductory sauce volume.
Given that the pot's capacity is 5 liters, which rises to to 5000 cubic centimeters (1 liter = 1000 cubic centimeters), and the starting sauce volume is since the meatballs are included together with the sauce, the remaining capacity is 5000 cubic centimeters.
Let's accept the number of meatballs is "n," and their add up to volume is V_total = n * (4/3) * π * 3^3 cubic centimeters.
For the pot to flood, the full volume of meatballs and sauce combined ought to surpass the pot's remaining capacity:
V_total > 5000 cubic centimeters.
Presently, able to plug within the esteem of V_total:
n * (4/3) * π * 3^3 > 5000.
Disentangle and illuminate for "n":
n > 5000 / [(4/3) * π * 3^3].
n > 5000 / [4 * 3.14 * 27].
n > 5.95.
Since you cannot have a division of a meatball, the genuine number of meatballs that would make the pot flood is 6.
Hence, the cook would require at slightest 6 meatballs to cause the pot to flood when they are cooked alongside the sauce.
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The complete question:
A cook is planning a clump of meatballs to be cooked in a sauce pot. The sauce pot incorporates a capacity of 5 liters. The meatballs are superbly spherical and are put within the sauce pot in conjunction with the sauce. Each meatball features a span of 3 centimeters.
What is the reason for employing a sweep of 3 centimeters for the meatballs?
How can the cook discover the number of meatballs that would make the sauce start to spill over?
Calculate the real number of meatballs that would make the pot flood, and appear how you arrived at the arrangement employing a equation.
The Venn diagram shows the intersection of sets A and B
a) shade the part of the diagram where you would put elements of both set A and set B
b) Explain where you would put elements that are in the universal set but are not members of set A or set B
Elements belonging to both set A and B would occupy the area where the two circles intersect. Elements in the universal set but not members of set A or B would be in the rectangle but not within any of the circles.
Venn diagrams use circles to represents the set of two or more elements. Elements in both set A and B would occupy the area where both circles intersect only .
To denote element in the universal set but not in any of set A or B would be in the rectangle encompassing the circles but not within any of the circles.
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What is the awnser. Thank you
Answer:
Henry is correct
Step-by-step explanation:
add 4 to each sides of the equation
2x=16
Divide each side of the equation by 2
X=8
2x - 4 = 12
add 4 to both sides:
2x - 4 + 4 = 12 + 4
2x = 16
divide both sides by 2:
2x/2 = 16/2
x = 8
so Henry is correct.
What is the ratio of rise to run between the points (-2, 8) and (4, -3)?
Ratio of rise to run between the points (-2, 8) and (4, -3) = -11/6
To find the ratio of rise to run between two points, we need to calculate the difference in the y-coordinates (rise) and the difference in the x-coordinates (run) between the two points.
Given points:
Point 1: (-2, 8)
Point 2: (4, -3)
Rise = difference in y-coordinates = y2 - y1 = -3 - 8 = -11
Run = difference in x-coordinates = x2 - x1 = 4 - (-2) = 6
Therefore, the ratio of rise to run can be calculated as:
Ratio of rise to run = Rise / Run = -11 / 6
Thus, the ratio of rise to run between the points (-2, 8) and (4, -3) is -11/6.
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T/F: since the square matrix that represents the dct coefficient is an orthogonal matrix, inverse and transpose are the same.
True. Since the square matrix that represents the DCT coefficient is an orthogonal matrix, its inverse and transpose are the same. This property is a fundamental characteristic of orthogonal matrices and holds true for all orthogonal matrices.
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False While it is true that the square matrix that represents the DCT coefficient is orthogonal, it does not mean that its inverse and transpose are the same.
the inverse of an orthogonal matrix is its transpose. However, the transpose of the matrix does not necessarily mean that it is the same as the inverse of the matrix. In the statement is false because the inverse and transpose of an orthogonal matrix are not always the same.
The Discrete Cosine Transform (DCT) coefficient matrix is an orthogonal matrix. In the case of orthogonal matrices, the inverse matrix is indeed equal to the transpose of the original matrix. This is because the product of an orthogonal matrix and its transpose results in the identity matrix.
Since the square matrix representing the DCT coefficient is an orthogonal matrix, its inverse and transpose are the same.
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read the picture plsssssssssssss
If the expression be 23 x² + 3x + 8 then the constant exists 8.
What is meant by expression?The addition, subtraction, multiplication, and division arithmetic operators are used to write a group of numbers together to form a numerical statement in mathematics. The expression of a number can take on various forms, including verbal form and numerical form.
A mathematical expression is a finite combination of symbols that is well-formed in accordance with context-specific norms.
A mathematical expression is a phrase that includes at least two numbers or variables, at least one arithmetic operation, and the expression itself. Any one of the following mathematical operations can be used. A sentence has the following structure: Number/variable, Math Operator, Number/Variable is an expression.
During the course of a program's execution, a constant's value cannot change. As a result, the value is constant, as implied by its name. During the course of a program's execution, a variable's value can change. As a result, the value might change, as implied by its name.
Let the expression be 23 x² + 3x + 8
then the constant exists 8.
Therefore, the correct answer is option C. 8.
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Solve the following proportion for u.
4/u = 17/7
Round your answer to the nearest tenth.
u=
The value of u to the nearest tenth for the proportion is approximately 1.6.
To solve the given proportion for u, we can cross-multiply the terms on either side of the equation.
This gives:
4/u = 17/7 (cross-multiplying gives)
4 × 7 = 17 × u
28 = 17u
Now, we can isolate u by dividing both sides of the equation by 17:
28/17 = u ≈ 1.6
Therefore, the value of u that satisfies the given proportion is approximately 1.6 when rounded to the nearest tenth. Thus, rounding 1.5294 to the nearest tenth gives 1.5, and rounding 1.5882 to the nearest tenth gives 1.6.
In summary,u ≈ 1.6 (rounded to the nearest tenth).
Therefore, the value of u that satisfies the given proportion is approximately 1.6 when rounded to the nearest tenth.
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You are preparing to admit a client with a seizure disorder. Which actions can you delegate to an LPN
The actions that can be delegated to an LPN (Licensed Practical Nurse) for a client with a seizure disorder include monitoring vital signs, administering prescribed medications, and providing basic seizure care.
An LPN can monitor the client's vital signs such as blood pressure, heart rate, and respiratory rate to assess any changes that may occur during or after a seizure. They can also administer medications that have been prescribed by the healthcare provider to manage seizures, such as antiepileptic drugs. Additionally, an LPN can provide basic seizure care, which may involve ensuring the client's safety during a seizure, positioning the client to prevent injury, and providing comfort measures.
However, it's important to note that the specific scope of practice for LPNs may vary based on the state or country's regulations and the policies of the healthcare facility. Therefore, it's essential to consult the legal and institutional guidelines to determine the exact tasks that can be delegated to an LPN in the care of a client with a seizure disorder.
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Which expression is equivalent to (3^5 x^2)^4 use step by step
Answer:
look at the screenshot
Step-by-step explanation: