Answer:
Step-by-step explanation:
1).b). 2x - 3y > 5
For (2, 1),
2(2) - 3(1) > 5
1 > 5
False.
So the answer is NO.
c). For (6, 2),
2(6) - 3(2) > 5
12 - 6 > 5
6 > 5
True.
Therefore, the answer is YES.
2). a). 3y + x ≤ 12
For (3, -2),
3(-2) + 3 ≤ 12
-6 + 3 ≤ 12
-3 ≤ 12
True.
Therefore, answer is YES.
b). For (4, 6),
3(6) + 4 ≤ 12
18 + 4 ≤ 12
22 ≤ 12
False.
Therefore, answer is NO.
c). For (-1, -2),
3(-2) + (-1) ≤ 12
-6 - 1 ≤ 12
-7 ≤ 12
True.
Therefore, answer is YES.
3). a). y < 3x - 15
For (5, -3),
-3 < 3(5) - 15
-3 < 0
True.
Therefore, answer is YES.
b). For (7, 5),
5 < 3(7) - 5
5 < 21 - 5
5 < 16
True.
Therefore, answer is YES.
c). For (3, -5),
-5 < 3(3) - 5
-5 < 9 - 5
-5 < 4
True.
Therefore, answer is YES.
if we took another sample of 157 students and asked them for measurements of thumb and height, would we get the same f ratio?
In the situation, if you took another sample of 157 students and asked them for measurements of thumb and height, it is unlikely that you would get the exact same F ratio.
The F ratio is a statistical value that compares the variance between groups to the variance within groups. Here's why it might be different:
1. Sampling variability: Since you are taking another sample of 157 students, there is a chance that the measurements will be slightly different from the original sample. The new sample might have students with different thumb lengths and heights, which could lead to different variances and thus a different F ratio.
2. Measurement errors: Even if the actual relationship between thumb length and height remains constant, the process of measuring these variables can introduce errors. Errors in measurement can cause discrepancies in the data, leading to a different F ratio.
3. Population diversity: If the new sample is drawn from a different population, there could be differences in the relationship between thumb length and height in that population. This would also result in a different F ratio.
To summarize, while it is possible to get a similar F ratio in a new sample, it is unlikely that the F ratio would be exactly the same due to sampling variability, measurement errors, and potential population differences.
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Question Content Area
The relationship of $291,917 to $134,868, expressed as a ratio,
is
a.0.5
b.0.7
c.0.9
d.2.2
The relationship of $291,917 to $134,868, expressed as a ratio, is approximately 2.2. Therefore, the correct answer is option d. 2.2.
To calculate the ratio, we divide the first value ($291,917) by the second value ($134,868):
Ratio = $291,917 / $134,868 ≈ 2.1622
Rounding this value to one decimal place, we get approximately 2.2.
In other words, the first value ($291,917) is approximately 2.2 times larger than the second value ($134,868) when expressed as a ratio. This means that the first value is about 120% larger than the second value.
To verify this calculation, we can also calculate the ratio using percentages. The percentage difference between the two values can be calculated as:
Percentage Difference = [(First Value - Second Value) / Second Value] * 100
Percentage Difference = [(291,917 - 134,868) / 134,868] * 100 ≈ 116.6%
This calculation shows that the first value is approximately 116.6% larger than the second value. When expressed as a ratio, this corresponds to approximately 2.2.
In summary, the relationship of $291,917 to $134,868, expressed as a ratio, is approximately 2.2. This means that the first value is approximately 2.2 times larger than the second value. Therefore, the correct answer is option d. 2.2.
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Find the function y=y(x) (for x>0 ) which satisfies the separable differential equation dxdy=xy28+11xx>0 with the initial condition y(1)=3. y = ____
The function y(x) that satisfies the differential equation and the initial condition is \(y = (24x + 33x^2 - 21)^{1/3}\).
To solve the separable differential equation dx/dy = x(y²/8 + 11x)/(x > 0) with the initial condition y(1) = 3, we can separate the variables and integrate.
First, let's rewrite the equation as:
(8 + 11x) dx = x(y² dy)
Now, we can integrate both sides:
∫(8 + 11x) dx = ∫x(y² dy)
Integrating the left side with respect to x:
8x + (11/2)x^2 + C1 = ∫x(y² dy)
Next, we integrate the right side with respect to y:
8x + (11/2)x² + C₁ = ∫y² dy
8x + (11/2)x² + C₁ = (1/3)y³ + C₂
Applying the initial condition y(1) = 3:
8(1) + (11/2)(1²) + C₁ = (1/3)(3³) + C₂
8 + 11/2 + C₁ = 9 + C₂
C₁ = C₂ - 7/2
Substituting C1 back into the equation:
8x + (11/2)x² + C₂ - 7/2 = (1/3)y³ + C
Simplifying:
8x + (11/2)x² - 7/2 = (1/3)y³
Finally, solving for y:
y³ = 24x + 33x² - 21
\(y = (24x + 33x^2 - 21)^{1/3}\).
Therefore, the function y(x) that satisfies the differential equation and the initial condition is \(y = (24x + 33x^2 - 21)^{1/3}\).
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Organizational culture is set by a. the manager b. the ethics committee c. the engineer d. none of the given options
Organizational culture is defined as the common beliefs, values, attitudes, customs, behaviors, and traditions that characterize a specific organization and determine the manner in which it functions. Organizational culture is set by the manager.
In a corporate or business environment, organizational culture can influence the daily operations of employees. It is the responsibility of managers to create a positive culture that emphasizes teamwork, respect, integrity, and accountability. The manager is an essential individual responsible for establishing and maintaining the organization's culture, which will ultimately define the employee's attitudes, behaviors, and productivity levels. He or she sets the tone for the workplace by creating an environment that fosters collaboration, innovation, and success. Employees need to feel connected to their workplace and colleagues to be motivated to do their best work. If a manager promotes a culture of fear, competition, or dishonesty, employees may become unmotivated or unproductive. An effective manager understands the importance of creating a positive workplace culture and works hard to establish and maintain it. Managers can establish a positive culture by encouraging open communication, providing regular feedback and recognition, fostering a sense of teamwork, creating opportunities for professional development, and setting high standards for performance. Managers must lead by example and demonstrate the behaviors and attitudes that they expect from their employees. They must hold themselves and others accountable for their actions, communicate expectations clearly, and provide support when needed. A positive organizational culture will enable an organization to attract and retain top talent, increase employee engagement, and promote collaboration and innovation.
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Find the arc length. Leave your answer in terms of pie no links
Answer:
7/2\(\pi\)
Step-by-step explanation:
-3 - 3x = -4(2x + 7)
Answer : x=−5
Step-by-step explanation: Step 1: Simplify both sides of the equation.
−3−3x=−4(2x+7)
−3+−3x=(−4)(2x)+(−4)(7)(Distribute)
−3+−3x=−8x+−28
−3x−3=−8x−28
Step 2: Add 8x to both sides.
−3x−3+8x=−8x−28+8x
5x−3=−28
Step 3: Add 3 to both sides.
5x−3+3=−28+3
5x=−25
Step 4: Divide both sides by 5.
5x /5 = −25 /5
x=−5
Answer:
x=−5
Someone please help!!
Answer:
c
Step-by-step explanation:
sana mka tulong keep safeee
Which of the following describes the solution to this system of equations?
The solution to this system of equations is dependent.
Understanding Dependent matrixDependent matrix is a matrix where one or more rows can be expressed as a linear combination of the other rows. This means that the rows are not linearly independent, and there is redundancy in the information they provide.
A dependent matrix has less than full rank, which means that the rank of the matrix is less than the number of rows or columns. In a dependent matrix, one or more variables can be expressed in terms of the other variables, and the system of equations represented by the matrix has infinitely many solutions.
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What is the smallest number by which 3087 should be divided to obtain a perfect cube? also find the cube root of the quotient.
3087 can be divided by 273 to get a perfect cube and the cube root of the quotient is 11.
Given number = 3087
We need to find out the smallest number by which 3087 should be divided to obtain a perfect cubeAlso, we need to find out the cube root of the quotientLet's try to find out the smallest number by which 3087 can be divided to get a perfect cube:
Prime factorization of 3087:
3087 = 3 × 3 × 3 × 7 × 13
Now, we need to find out the factors such that after taking out all the cubes from it, the remaining should not have a cube.
Prime factorization of 3087: 3087 = 3 × 3 × 3 × 7 × 13To make a cube, the prime factor must appear in multiples of three.
So, the smallest number by which 3087 should be divided to obtain a perfect cube is:(3 × 7 × 13) = 273
Cube root of the quotient (3087 / 273):
Let's divide it 3087 / 273 = 11
Thus, the cube root of the quotient is 11.
Therefore, 3087 can be divided by 273 to get a perfect cube and the cube root of the quotient is 11.
By using the prime factorization method, we can easily solve the problem of finding the smallest number by which the given number can be divided to get a perfect cube. Also, it is important to note that when we find the cube root of a quotient, we need to divide the given number by the number which can make it a perfect cube.
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What is the slope of a line parallel to the line whose equation is x+y=-4
The slope of a line parallel to the line whose equation is \(x+y=-4\) is \(-1\).
The given equation is \(x+y=-4\).
We have to find the slope of a line parallel to the line whose equation is \(x+y=-4\).
The general equation of the parallel line is
\(y=mx+c\)
where \(m\) is the slope of the line.
To find the slope of a parallel line we first express the given equation like a general equation.
The equation is \(x+y=-4\).
To express the equation in the form of general equation we subtract \(x\) on both side.
\(x+y-x=-4-x\)
In the left side have \(x\) in add and subtract both so there left only \(y\).
\(y=-4-x\)
We can write simplified equation as
\(y=-x-4\)
To find the sloe of the parallel line we compare the simplified equation to the general equation.
After comparison we get
\(m=-1\)
Hence, the slope of a line parallel to the line whose equation is \(x+y=-4\) is \(-1\).
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For an average size lawn, lee takes 1 hour to mow and 2 hours to trim and sweep. for a large size lawn, lee takes 3 hours to mow and 3 hours to trim and sweep. one week lee mowed, trimmed, and swept 5 average size lawns and 3 large size lawns. how many hours did lee spend working on all the lawns?
a. 72
b. 40
c. 33
d. 17
Lee spent a total of 33 hours working on all the lawns, as calculated by multiplying the number of lawns for each size category by the respective time required for mowing, trimming, and sweeping.
In order to determine the total number of hours Lee spent working on all the lawns, we need to calculate the time for each task separately. For the average size lawn, Lee takes 1 hour to mow and 2 hours to trim and sweep, totaling 3 hours per lawn. For the large size lawn, Lee takes 3 hours to mow and 3 hours to trim and sweep, totaling 6 hours per lawn.
Given that Lee mowed, trimmed, and swept 5 average size lawns and 3 large size lawns in one week, we can calculate the total hours as follows:
Total hours for average size lawns = 5 lawns * 3 hours/lawn = 15 hours
Total hours for large size lawns = 3 lawns * 6 hours/lawn = 18 hours
Therefore, the total hours Lee spent working on all the lawns is 15 hours + 18 hours = 33 hours.
In conclusion, Lee spent a total of 33 hours working on all the lawns, as calculated by multiplying the number of lawns for each size category by the respective time required for mowing, trimming, and sweeping.
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What is a linear function table?.
A linear function table is a table having a constant rate of change between its datapoints
A linear equation is is an equation that consists of each variable raised with a maximum of one degree. the linear equation in terms of variables x and y can be written in the form of y = mx + c, where m is the slope and x is the independent variable, and y is the dependent variable when the data points of the given table are potted in a graph, we get a straight line for a linear function table, a such function must have a constant slope in between its points
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The path of a projectile launched from a 20-ft-tall tower is modeled by the equation y = -5x2 + 40x + 20. What is the maximum height, in meters
reached by the projectile?
Answer:
30.49 m
Step-by-step explanation:
To obtain the maximum height, we solve for the value x when dy/dx = 0.
Since, y = -5x² + 40x + 20
dy/dx = d[-5x² + 40x + 20]/dx
dy/dx = -10x + 40
Since dy/dx = 0,
-10x + 40 = 0
-10x = -40
x = -40/-10
x = 4
Substituting x = 4 into the equation for y, we have
y = -5x² + 40x + 20
y = -5(4)² + 40(4) + 20
y = -5(16) + 160 + 20
y = -80 + 160 + 20
y = 80 + 20
y = 100 ft
Since y is in feet, we convert to meters.
Since 1 m = 3.28 ft, 100 ft = 100 ft × 1 m/3.28 ft = 30.49 m
So, the maximum height, in meters reached by the projectile is 30.49 m
The music teacher can split the class into groups of 8
8
or 12
12
. Each group will have the same amount of students. What is the smallest number of people that can be at music class?
The music teacher can split the class into groups of 8
8
or 12
12
. Each group will have the same amount of students. What is the smallest number of people that can be at music class?
answer 24 students
Find an equation in standard form for the ellipse with the vertical major axis of length 16 and minor axis of length 10.
a. x squared divided by 5 plus y squared divided by 8 = 1
b. x squared divided by 25 plus y squared divided by 64 = 1
c. x squared divided by 8 plus y squared divided by 5 = 1
d. x squared divided by 64 plus y squared divided by 25 = 1
Answer:
c
Step-by-step explanation:
13. How much voltage would be necessary to generate 20 amps of current in a circuit that has 5.5
ohms of resistance?
V=
I=
R=
Answer:
The voltage is 110 V
Step-by-step explanation:
Given;
current in the circuit, I = 20 A
resistance in the circuit, R = 5.5 Ω
voltage in the circuit, V = ?
Voltage is given as = current x resistance
V = IR
V = 20 x 5.5
V = 110 V
Therefore, the voltage necessary to generate 20 amps of current in a circuit that has 5.5 ohms of resistance is 110 volts.
Is √12 • √12 rational or Irrational?
======================================================
Reasoning:
Apply the rule that \(\sqrt{x}*\sqrt{x} = \left(\sqrt{x})^2 = x\)
The squaring operation and square root operation cancel each other out. This is because they are inverses of one another.
For example, 7^2 = 49, and the square root of this leads back to 7.
Going back to the problem at hand, we can say, \(\sqrt{12}*\sqrt{12} = 12\)
Then we can write that '12' at the end as 12/1. This is a ratio or fraction of integers, which makes the number rational.
Any rational number is of the form a/b, where a,b are integers and b is nonzero.
please answer the following
A. $49.50
Step-by-step explanation:
33.00 ÷ 4 = 8.25
8.25 × 6 = 49.50
At basketball camp, Kyle made 18% of her throws. Based on this information which is the best prediction of the number of free throws she will make out of 50 attempts?
Answer:
you answer is b
Step-by-step explanation:
ik bc i did it last year
.._+_+
U7L2 Cool Down
The measure of the arc from B to A not passing through C is 26 degrees.
1. What is the measure of angle BOA ?
2. What is the measure of angle BDA?
3. What is the measure of angle BCA ?
degrees
degrees
degrees
Using the inscribed angle theorems, the measure of the indicated angles are:
1. m∠BOA = 26°
2. m∠BDA = 13°
3. m∠BCA = 13°
What is the Inscribed Angle Theorems?Based on the inscribed angle theorem, the following relationships are established:
Inscribed angle = 2(measure of intersected arc)Central angle = measure of intersected arcGiven:
Intercepted arc BA = 26°
1. ∠BOA is central angle
Thus:
m∠BOA = 26° (inscribed angle theorems)
2. ∠BDA is inscribed angle.
m∠BDA = 1/2(30) = 13° (inscribed angle theorems)
3. m∠BCA = m∠BDA = 13° (inscribed angle theorems)
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The ordered pair(2,-3) is a solution to which of the following inequalities?
a. y-2x>-5
b. y ≥-2x+2
c. 4y+2x≤-1
d. y<3x-9
Answer:
pretty sure it is 4y+2x<_-1
Answer:
C
Step-by-step explanation:
y-2x>-5 : (2,-3) is not a solution to this equation
y> -2x+2 : (2,-3) is not a solution to this equation
4y+2x< -1 : (2,-3) is a solution to this equation
When a constant force acts upon an object, the acceleration of the object varies inversely with its mass. When a certain constant force acts upon an object with
mass 7 kg, the acceleration of the object is 4 m/s?. If the same force acts upon another object whose mass is 2 kg, what is this object's acceleration?
Answer:
14 m/s²
Step-by-step explanation:
From the question
a ∝ F/m.............. Equation 1
Where a = aceleration, m = mass, F = force
make F the subject of the equation
F = ma............ equation 2
Given: m = 7 kg, a = 4 m/s²
Therefore,
F = 7(4)
F = 28 N
For another object whose mass is 2 kg,
Make a the subject of equation 2
a = F/m
a = 28/2
a = 14 m/s²
A company makes 140 bags.
48 of the bags have buttons but no zips.
49 of the bags have zips but no buttons.
23 of the bags have neither zips nor buttons.
How many bags have zips on them?
\(48 + 49 + 23 = 120\)
So I guess 20 bags have lost
What ever if we suppose even one of them has zip then there are 49 bags that have zip at least.
FAST I NEED HELP PLEASE
Answer:
the first one
Step-by-step explanation:
i hope that help you
5x-2y=15 solve for y
Answer:
this should be it
Step-by-step explanation:
does the convenience sample give us an accurate picture of the salary of the full population? would you expect it to, in general? before you move on, write a short answer in english below. you can refer to the statistics calculated above or perform your own analysis.
This is because convenience samples are chosen based on the ease of access to participants and are not necessarily representative of the entire population.
What is the problem with using a convenience sample to estimate population salary?This is because convenience samples are chosen based on the ease of access to participants and are not necessarily representative of the entire population.
In general, it is not expected that a convenience sample would provide an accurate representation of the full population.
A more accurate representation of the full population would require a random sample, which would ensure that every member of the population has an equal chance of being selected for the sample.
This would provide a more representative sample and allow for more accurate statistical analysis.
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a store has 9 blue hats and 7 red hats for sale write the ratio of blue hats to all the hats
Answer:
9 : 7, or 9/16 to 7/16
Step-by-step explanation:
We know that there are 9 blue hats.
We know there are 7 red hats.
This is a 9 : 7 ratio.
In fraction form, we must find the total ratio, use that as the denominator, then take the seperate amounts, such as bluei adn red hats, and use that as the numerator:
9+7=denominator
denominator = 16
Blue hats = 9
Ratio of red = 9/16
Red hats = 7
Ratio of red = 7/16
Hope this helps!
What is the size of the blue angle, and what do we call an angle with these measurements?
Answers:
The blue angle is 135 degrees
The angle is obtuse
==========================================
Explanation:
Along the inner ring of values, the left arrow points at 135 (the midpoint of 130 and 140). Therefore, the blue angle is 135 degrees. Or you could note that starting at 130, and counting 5 spaces, will get you to 135. You could start at 140, and count down 5 spaces to get to the same spot.
Another way you can get the answer is to note that the blue arrow on the left is pointing at 45 along the top ring of numbers. This adds to 90 to get 90+45 = 135
Either way, you should get to 135 degrees as the angle value.
-------------
The angle is obtuse because the angle is larger than 90 degrees. It's wider or larger than a right angle.
The statement below is a different way to say that the sides of these similar parallelograms are proportional.
Complete the equations that go with the statement.
The correct statement is \(\frac{a}{b}\) = \(\frac{t}{s}\) , \(\frac{b}{c}\) = \(\frac{s}{r}\) , \(\frac{c}{d}\) = \(\frac{r}{q}\).
What is Parallelogram?Parallelogram is a type of polygon with four sides, four angles and four vertices. It is a type of Quadrilateral.
Opposite sides are parallel, and the opposite sides and opposite angles are equal.
Similar figures are those figures whose ratio of the length of sides are proportional.
Similar figures only differ in size, their shape is equal.
The sides a, b, c and d in the larger parallelogram is similar to the sides t, s, r and q respectively in the smaller parallelogram.
So we get the ratio b / c equal to the ratio s / r and the ratio c / d equal to the ratio r / q.
Hence the equation that go with the statement two sides of a parallelogram have the same ratio as the corresponding two sides of a parallelogram is \(\frac{a}{b}\) = \(\frac{t}{s}\) , \(\frac{b}{c}\) = \(\frac{s}{r}\) , \(\frac{c}{d}\) = \(\frac{r}{q}\).
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Answer:The first one is 16 and the second one is 18
Step-by-step explanation:
A
distribution is a distribution of sample means.
O A. uniform
• B. normal
• C. sampling
© D. sample
Answer:
C
Step-by-step explanation:
I believe this is the best answer.