Which statements are not true and true?

statement 1: the sum of two negative integers is positive

Statement 2: the product of two negative integers is positive

Statement 3: the difference of two negative integers is positive

Statement 4: the quotient of two negative integers is positive

To determine if the weight and balance of an airplane are within limits, calculations need to be performed. These calculations consider the weights of various components and their respective arm distances from the reference datum.

By comparing the calculated center of gravity (CG) with the allowable CG range, it can be determined if the CG and weight of the airplane are within limits. Weight and balance calculations are crucial for ensuring the safety and performance of an aircraft. The weight and balance system involves determining the weights of different components, such as the airframe, engines, fuel, passengers, cargo, and other equipment. Each component's weight is multiplied by its arm distance from the reference datum, which is a fixed point on the aircraft.

The arm is the horizontal distance between the reference datum and the center of gravity of a particular component. The center of gravity is the point at which the aircraft would balance if it were suspended. By summing the moments (weight multiplied by arm) of all components and dividing it by the total weight, the CG can be calculated.

To determine if the CG and weight of the airplane are within limits, the calculated CG is compared to the allowable CG range specified by the aircraft manufacturer. The allowable CG range defines the limits within which the aircraft must operate to ensure stability and controllability. If the calculated CG falls within this range, the weight and balance are considered within limits. However, if the calculated CG exceeds the allowable range, it indicates an imbalance and corrective measures, such as redistributing weight or adjusting the load, are necessary to bring the CG within acceptable limits.

In conclusion, weight and balance calculations involve determining the weights and arm distances of various components in an aircraft. By calculating the CG and comparing it to the allowable CG range, it can be determined if the weight and CG of the airplane are within limits. Ensuring proper weight distribution and CG positioning is vital for maintaining stability and controllability during flight.

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Translation, rotation, and reflection are three of the fundamental transformations.

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Without knowing the specific details of the car, its condition, and Jones' driving habits, it is impossible to accurately determine the probability of her getting at least 20,000 additional miles out of the car. However, if the car has been well-maintained and has low mileage.

the probability may be higher than if the car is older and has high mileage. Additionally, Jones' driving habits, such as how often she drives and the conditions in which she drives, may also impact the probability. Ultimately, it is difficult to determine an exact probability without more information.
To answer your question, we first need to know the total number of possible outcomes (i.e., the total mileage a car can provide) and the number of favorable outcomes (i.e., the car providing at least 20,000 additional miles).

Assuming we have that information, here's how to calculate the probability:

Step 1: Identify the total number of possible outcomes (let's say N).
Step 2: Identify the number of favorable outcomes (let's say F), where the car provides at least 20,000 additional miles.
Step 3: Calculate the probability by dividing the number of favorable outcomes (F) by the total number of possible outcomes (N).

= F / N

In conclusion, the probability of Jones getting at least 20,000 additional miles from the car after her purchase depends on the total number of possible outcomes and the number of favorable outcomes. You will need to provide this information to calculate the exact probability.

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Answer:

The curve meets the coordinate axes at the points A(0, 1 – k) and 1 B(. ) ... 2x + 1. (d) Find the value of k. (4). (Total 12 marks). 7. –5. 5 x y. O. M (2, 4).Step-by-step explanation:

Answer:

100

Step-by-step explanation:

Answer:

rtuiiytggxgxhxjcjcjcjxhxjxucucififididifuficicicjc

The matrix of \(t\) relative to the basis \(b'\) is \(A' = \begin{bmatrix} -9 & 7 \\ -37 & 43 \end{bmatrix}\).

\(\textbf{To find the matrix of } t \textbf{ relative to the basis } b', \textbf{we have to follow some steps. The steps are described below:}\)

First, we have to find the images of basis vectors under the transformation \(t\). \(t(-1,1) = (-9,7)\) and \(t(1,-5) = (-37,43)\).

Represent the image vectors of the basis in the standard basis. We use these vectors as columns in the matrix of \(t\) in the basis \(b'\).

\((-9,7) = -9(1,0) + 7(0,1) = (-9,7) = -9(-1,1) + 7(1,-5)\)

\((-37,43) = -37(1,0) + 43(0,1) = (-37,43) = -37(-1,1) + 43(1,-5)\)

Hence, we can write the following equation: \(A[x]_{b'} = [x]_S\)

Where \(A[x]_{b'}\) is the main answer in the form of a matrix, and \([x]_S\) is the coordinate of \([x]_{b'}\) with respect to the standard basis.

Now, we will write the equations with the coordinates of the basis vectors of \(b'\).

\(A[1,0] = [-9, -37]\) and \(A[0,1] = [7, 43]\)

Now we will write the matrix of \(A\) as follows:

\(A = \begin{bmatrix} -9 & 7 \\ -37 & 43 \end{bmatrix}\)

Thus, the matrix of \(t\) relative to the basis \(b'\) is \(A' = \begin{bmatrix} -9 & 7 \\ -37 & 43 \end{bmatrix}\).

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A decrease in the price of cotton can have positive effects on the affordability and availability of socks in the market, benefiting consumers by potentially offering lower prices and a wider range of choices.

If the price of cotton falls in the market for a bag of socks, it is likely to have an impact on the overall cost and availability of socks. Cotton is a common material used in the production of socks, and its price plays a significant role in determining the cost of manufacturing.

When the price of cotton falls, it reduces the cost of raw materials for sock manufacturers. As a result, manufacturers may experience lower production costs. This can lead to several outcomes:

1. Decrease in sock prices: With lower production costs, manufacturers have the option to reduce the prices of socks to attract customers. This can result in more affordable socks for consumers, making them more accessible.

2. Increase in sock supply: Lower production costs may incentivize manufacturers to increase their sock production. As a result, the supply of socks in the market could rise, leading to a greater availability of socks for consumers.

3. Potential for improved quality or additional features: Manufacturers may choose to invest the cost savings from lower cotton prices into enhancing the quality of socks or adding extra features. This can result in socks with improved durability, comfort, or design, providing more options for consumers.

It's important to note that the impact of falling cotton prices on sock prices and availability may also depend on other factors, such as production and distribution costs, market competition, and consumer demand. Additionally, the extent to which the price reduction in cotton translates into lower sock prices may vary among different brands and retailers.

Overall, a decrease in the price of cotton can have positive effects on the affordability and availability of socks in the market, benefiting consumers by potentially offering lower prices and a wider range of choices.

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Data collected at the same, or approximately the same point in time are  Cross- sectional data

In statistics and econometrics, cross-sectional data, or a cross section of a study population, is a type of data gathered by monitoring numerous subjects (such as individuals, firms, countries, or regions) at one point or throughout the course of time. It's also possible that the analysis disregards variations in time. Cross-sectional data analysis often entails contrasting the variations among pre-selected respondents.

For instance, if we wanted to determine the prevalence of obesity in a population, we could randomly select a sample of 1,000 people (also referred to as a cross section of that population), measure their height and weight, and then determine what proportion of that sample falls under the definition of obesity. With the use of this cross-sectional sample, we are able to get a current picture of that group. Be aware that based on a single cross-sectional sample, we cannot determine whether the prevalence of obesity is rising or falling; we can only describe the current proportion.

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Answer:

A store pays $840 for an oil painting. The store marks up the price by 46%. What is the amount of the mark-up?

=

$386.40

Charlotte would make $972.5 in a week in which she made $1575 in sales. Charlotte would make $(500 + 0.30x) in a week in which she made $x in sales.

Amount of money that Charlotte earns per week as guaranteed salary:

$500

Percentage of commission that she gets on top of her base salary:

30% = 0.30

Amount of money that she made in a week in sales: $1575

Therefore, amount of money that she would make in total:

Charlotte's guaranteed weekly salary + commission on sales

= $500 + (0.30 x $1575) = $(500 + 472.5) = $972.5

Amount of money that she made in a week in sales: x

Therefore, amount of money that she would make in total:

Charlotte's guaranteed weekly salary + commission on sales

= $500 + (0.30 X x) = $(500 + 0.30x)

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Answer:

= 1/2

Step-by-step explanation:

From the question: 1 bag contains

4 cotton candy lollipops

3 cherry lollipops

6 butterscotch lollipops

1 orange lollipops

Total number of possible outcomes =

14

The probability of randomly choosing a cotton candy or orange lollipops is calculated as:

P(Cotton candy) + P(Orange)

= 4/14 + 3/14

= 7/14

= 1/2

a )H2 u> 50, the average product packed per day by the employee is further than 50 cases

b) A type I error is the incorrect rejection of a true null thesis.

c) A type II error is inaptly retaining a false null thesis.

d) A Type I error would be veritably precious for the packing company

a) H1 u = 50, the average product packed per day by an hand is( not further than) 50 cases

H2 u> 50, the average product packed per day by an hand is further than 50 cases

b) A type I error is the incorrect rejection of a true null thesis( also known as a" false positive" finding) Type I error means that we're enforcing the training program indeed though the conditions aren't met.

c) A type II error is inaptly retaining a false null thesis ( also known as a" false negative" finding). Type II error means that we aren't enforcing the training( program indeed though the conditions are met.

d) A Type I error would be veritably precious for the packing company. A Type I error would mean that the director rejected the null thesis when in fact the null thesis is true. In this situation, by rejecting the null thesis the company allowed the training bettered productivity, so they paid for the adviser to train all workers in reality, the training didn't ameliorate productivity so the company wasted plutocrat on training that didn't help

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hypotenuse of a right triangle is always the side opposite the right angle.

In geometry, a right triangle is a type of triangle that contains one angle measuring 90 degrees, known as the right angle. Right triangles have several distinguishing properties, and one of the fundamental concepts associated with them is the identification of the sides relative to the right angle. In this detailed explanation, we will explore the term that describes the specific side of a right triangle that is always opposite the right angle.

In a right triangle, there are three sides: the hypotenuse, the adjacent side, and the opposite side. The hypotenuse is the side opposite the right angle and is the longest side of the triangle. The adjacent side is the side that forms the right angle with the hypotenuse, while the opposite side is the side that is opposite the right angle. The term that refers to the side of a right triangle that is always opposite the right angle is the "hypotenuse."

To better understand the concept, let's consider the Pythagorean theorem, which is a fundamental relationship in right triangles. The Pythagorean theorem states that in any right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. Mathematically, it can be expressed as:

\(c^2 = a^2 + b^2\)

In this equation, "c" represents the length of the hypotenuse, while "a" and "b" represent the lengths of the other two sides (adjacent and opposite). By rearranging the equation, we can solve for the hypotenuse (c):

\(c = \sqrt(a^2 + b^2)\)

From this equation, we can see that the hypotenuse is determined by the lengths of the other two sides of the right triangle. The relationship expressed by the Pythagorean theorem highlights the importance of the hypotenuse in determining the overall shape and size of the right triangle.

Furthermore, the hypotenuse is significant because it provides the longest side of the right triangle. Its length directly influences the triangle's shape and can be used to calculate various properties, such as the triangle's area or the lengths of the other sides.

In trigonometry, the hypotenuse is also crucial for defining trigonometric ratios, such as sine, cosine, and tangent, which are used to establish relationships between the sides and angles of a right triangle.

In conclusion, the side of a right triangle that is always opposite the right angle is called the "hypotenuse." It is the longest side of the triangle and is directly related to the lengths of the other two sides through the Pythagorean theorem. Understanding the concept of the hypotenuse is essential for working with right triangles, as it plays a fundamental role in determining the triangle's properties, shape, and trigonometric relationships.

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2 ∫−2 4−x2 r^4cos^2(θ)sin^2(θ) dx is the following integral in cylindrical coordinates.

To evaluate the integral 2 ∫−2 4−x2 ∫0 1 ∫0 1 1 x2 y2dz dy dx in cylindrical coordinates, we need to convert the integral into cylindrical form.

In cylindrical coordinates, x = rcos(θ), y = rsin(θ), and z = z.

The limits of integration are as follows:
x: -2 to 4-x^2
y: 0 to 1
z: 0 to 1

Substituting the cylindrical coordinates into the integral, we have:

2 ∫−2 4−x2 ∫0 1 ∫0 1 1 (rcos(θ))^2 (rsin(θ))^2 dz dy dx

Simplifying, we get:

2 ∫−2 4−x2 ∫0 1 ∫0 1 r^4cos^2(θ)sin^2(θ) dz dy dx

Now, we can integrate with respect to z, y, and x respectively:

2 ∫−2 4−x2 ∫0 1 r^4cos^2(θ)sin^2(θ) dz dy dx
= 2 ∫−2 4−x2 r^4cos^2(θ)sin^2(θ) dy dx
= 2 ∫−2 4−x2 r^4cos^2(θ)sin^2(θ) (1 - 0) dx
= 2 ∫−2 4−x2 r^4cos^2(θ)sin^2(θ) dx

At this point, the integral cannot be further simplified without specific values for r and θ.

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Based on the number of members and the ratio in which they chose the types of film, the number who chose Action in the second week more than the first week is 6 people.

Assuming that the number of members is 99 members, the number who chose Action on the second week were:

= (7 / (5 + 7 + 6)) x 99

= 39 people

The number who chose Action in the first week:

= (5 / (2 + 5 + 8)) x 99

= 33

The difference is:

= 39 - 33

= 6 people

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I'm not 100% sure about this because this unit confused me but...

if you put it in your graphing calculator or in desmos, you can see that the first positive x -intercept (which is a point that is on the x-axis) is somewhere around one but it's not 1.571!! (other person is wrong!)

that point is (0.571, 0) so it's the first option

The probability that a randomly chosen arrival takes more than 12 minutes is approximately 0.0498 or 4.98%.

To solve this problem, we can use the fact that the time between arrivals in an exponential distribution follows the exponential distribution with parameter λ, where λ is the rate of arrivals per unit time.

In this case, the rate of arrivals is 15 patients per hour, or λ = 15/60 = 0.25 patients per minute.

Let X be the time between arrivals, then X follows an exponential distribution with parameter λ = 0.25.

To find the probability that a randomly chosen arrival takes more than 12 minutes, we need to calculate:

P(X > 12)

We can use the cumulative distribution function (CDF) of the exponential distribution to calculate this probability. The CDF of the exponential distribution is given by:

\(F(x) = 1 - e^(-λx)\)

So, we have:

P(X > 12) = 1 - P(X ≤ 12)

= 1 - F(12)

= \(1 - (1 - e^(-0.25*12))\)

=\(e^(-3)\)

Therefore, the probability that a randomly chosen arrival takes more than 12 minutes is approximately 0.0498 or 4.98%.

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\(P = l + l + b + b\)

\(P = 2(2a + 3) + 2(8a - 12)\)

\(\boxed{\sf{P=20a-18}}\)

\(P = 20(3) - 18\)

\(P = 60 - 18\)

\(\boxed{\sf{P = 42 cm}}\)

\(P = (3b + 7) + (7b - 2) + (7b - 2)\)\(\boxed{\sf{P = 17b+3}}\)

\(P = 17(6) + 3\)

\(P = 102 + 3\)

\(\boxed{\sf{P = 105 \: m}}\)

If one is interested in measuring the effects of a moderating variable, one can build it into the design as an independent variable.

To measure the effects of a moderating variable, it can be built into the design as an independent variable.

When studying the relationship between two variables, a moderating variable is a factor that influences the strength or direction of the relationship.

It is also known as an interaction variable. In order to measure the effects of a moderating variable, it is important to incorporate it into the research design.

To build a moderating variable into the design, it is treated as an independent variable.

An independent variable is a variable that is manipulated or controlled by the researcher.

By including the moderating variable as an independent variable, researchers can examine how it interacts with the other variables of interest.

The moderating variable is often operationalized by creating different groups or conditions based on its levels. For example, in a study investigating the impact of teaching method (independent variable) on student performance (dependent variable), the moderating variable could be student motivation.

The researchers can build the moderating variable into the design by dividing participants into high and low motivation groups, and then examining how the teaching method affects their performance differently.

By incorporating the moderating variable as an independent variable, researchers can systematically examine its influence on the relationship between the other variables. This allows for a deeper understanding of how and under what conditions the relationship changes.

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Answer: 3 I think, I’m not positive though

Step-by-step explanation:

Answer:

h = 3

Step-by-step explanation:

Given: A triangle; Base = 12, area = 18

To find: The height

Formula: \(A=\frac{hb}{2}\)

Solution: Triangle height, also referred to as its altitude, can be solved using a simple formula using the length of the base and the area. Thus, the height or altitude of a triangle h is equal to 2 times the area T divided by the length of base b.

Firstly, divide the area by the base

\(18\) ÷ \(12 = 1.5\)

Now, multiply 2 by the result

\(1.5\) × \(2 = 3\)

Or

The lowest common factor of 18 and 12 is 6

Now, divide 6 by 2

\(\frac{6}{2} =\) \(3\)

The height is 3

Answer:

5 hours

Step-by-step explanation:

Answer: h = 5

Step-by-step explanation: Starting temp + (change in temp per hour × elapsed hours) = current temp

So...

82+(0.6h)=85

Subtract 82 from both sides to isolate your variable term.

0.6h=3

Divide both sides by 0.6 to solve for hl.

h=5

5 hours have elapsed.

Check your answer. In 5 hours, at 0.6⁰ per hour, the temp would increase by 3 degrees. 82 + 3 = 85

Answer:

16.12

Step-by-step explanation: hope this helps

(a) R(x) = -13.12\(x^2\) + 285.23x - 882.37

(b) $9.25: $263.29 per dollar, $11.50: $232.24 per dollar

(c) $9.25 to $10.25: $21.34, $11.50 to $12.50: $22.34

(d) Overestimate due to model assumptions. Underestimate due to nonlinear relationship limitations.

(a) The quadratic model for the average revenue in dollars is given by the function R(x) = -13.12\(x^2\) + 285.23x - 882.37.

(b) The rate of change of revenue at a price of $9.25 is approximately $263.29 per dollar, and at a price of $11.50, it is approximately $232.24 per dollar.

(c) The change in revenue if the price is increased from $9.25 to $10.25 is approximately $21.34, and from $11.50 to $12.50, it is approximately $22.34.

(d) The approximate change is an overestimate of the change in price from $9.25 to $10.25 because the quadratic model assumes a perfectly smooth and continuous relationship between price and revenue, which may not be accurate in practice. On the other hand, it is an underestimate of the change in price from $11.50 to $12.50 because the quadratic model may not capture the full complexity of the relationship between price and revenue, especially in a nonlinear fashion.

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Answer:

Step-by-step explanation:

3 ∣ 861,1353

______________

41 ∣ 287,451

______________

7 ∣ 7,11

______________

11 ∣ 1,11

______________

      1,1

LCM = 3 × 41 × 7 × 11

= 9471.

Hope this helps

plz mark as brainliest!!!!!!

Answer:

861 = 3×7×41

1353 = 3×11×41

LCM = 3×7×11×41

= 9471

Step-by-step explanation:

Answer:

25m

Step-by-step explanation:

A square is a parallelogram having all sides equal. Hence, if Casey walked diagonally, she should have gone 25m as the rules of square states.

please mark brainliest

Answer:

\( \boxed{\sf x = \frac{13}{5} } \)

Given:

(x + 4):(3x + 1) is the duplicate ratio of 3:4

To Find:

Value of x

Step-by-step explanation:

\( \sf Solve \: for \: x: \\ \sf \implies (x + 4) : (3x + 1) = 3 : 4 \\ \\ \sf Convert \: ratios \: to \: fractions: \\ \sf \implies \frac{x + 4}{3x + 1} = \frac{3}{4} \\ \\ \sf Cross \: multiply: \\ \sf \implies 4(x + 4) = 3(3x + 1) \\ \\ \sf Expand \: out \: terms \: of \: the \: left \: hand \: side: \\ \sf \implies 4x + 16 = 3(3x + 1) \\ \\ \sf Expand \: out \: terms \: of \: the \: right \: hand \: side: \\ \sf \implies 4x + 16 = 9x + 3 \\ \\ \sf Subtract \: 9 x + 16 \: from \: both \: sides: \\ \sf \implies - 5x = - 13 \\ \\ \sf Divide \: both \: sides \: by \: - 5: \\ \sf \implies x = \frac{13}{5} \)

Answer:

If it's (0.084×0.81)÷(0.027×0.04) then the answer is 63

if it's just 0.084×0.81÷0.027×0.04 then the answer is,

63/625 or, 0.1008

Answered by GAUTHMATH

Answer:

0.1008

Step-by-step explanation:

0,81 ÷ 0,027=30

30×0.04=1.2

1,2×0.084=0.1008

Ellen can make a maximum of 6 batches of Cardamom cookies with her 2 fluid ounces of cardamom.

Ellen has 2 fluid ounces of cardamom in a jar. Her recipe requires 3/10 of a fluid ounce of cardamom for each batch of cardamom cookies.

We can use division to find the number of batches of cardamom cookies that Ellen can make with all of her cardamom:

2 fluid ounces ÷ (3/10 fluid ounce per batch) = (2/1) ÷ (3/10)

= (2/1) x (10/3)

= 20/3

= 6 2/3

Therefore, Ellen can make 6 batches of cardamom cookies with her 2 fluid ounces of cardamom, with 2/3 of a batch remaining.

Since she cannot make a fraction of a batch, Ellen can make a maximum of 6 batches of cardamom cookies with her 2 fluid ounces of cardamom.

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Answer:

no

yes

yes

no

no

yes

Step-by-step explanation:

a prime number cant be devided by any thing other than itself or one

Answer:

Step-by-step explanation:

Is 2 is 3 is 11 is 18 is 20 is 27

So, the second transformation can be described as a translation of 8 units to the left and 2 units down.

In mathematics, a transformation is a process that changes the position, shape, or size of a geometric object. Transformations can be classified into different types, including translations, reflections, rotations, and dilations.

Translation: A translation is a transformation that moves every point of an object a certain distance in a certain direction. The object is not changed in any other way.

Reflection: A reflection is a transformation that produces a mirror image of an object across a line, called the line of reflection.

Rotation: A rotation is a transformation that rotates an object about a fixed point, called the center of rotation.

Dilation: A dilation is a transformation that changes the size of an object by multiplying its coordinates by a scale factor, called the dilation factor.

Transformations are often used in geometry, where they can be used to study the properties of shapes and figures. They are also used in other areas of mathematics, such as linear algebra, where they can be used to transform vectors and matrices, and in computer graphics, where they are used to create 2D and 3D images.

Here,

The first transformation is a reflection in the line y = x. This means that each point in shape A is reflected across the line y = x to get the corresponding point in shape B.

To describe the second transformation, we can compare the coordinates of each point in shape A with the coordinates of its corresponding point in shape B. By doing this, we can identify how each point was transformed from shape A to shape B.

Using the given coordinates of shape A and shape B, we can see that each point was also translated by a certain amount in the x and y directions. Specifically, each point was translated 8 units to the left and 2 units down. Therefore, the second transformation is a translation of 8 units to the left and 2 units down.

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