(refer to figures 32 and 33.) with the airplane loaded as follows, what action can be taken to balance the airplane? front seat occupants 411 lb rear seat occupants 100 lb main wing tanks 44 gal

Answer: 5n²-13n+6=(n-2)(5n-3)=0

Step-by-step explanation:

\(5n^2-13n+6=0\\\\5n^2-10x-3n+6=0\\\\5n(n-2)-3(n-2)=0\\\\(n-2)(5n-3)=0\)

Answer:

683.90

Step-by-step explanation:

562.55

+121.35

683.90

For the given statement, we have to correctly rejecting the null hypothesis.

According to the statement

we have to find the outcome when hypothesis test evaluating a treatment that has a very large and robust effect.

For this purpose, we know that the

A hypothesis is a testable statement about the relationship between two or more variables or a proposed explanation for some observed phenomenon.

And according to the given statement it is clear that the by this we have to rejected this hypothesis.

because this treatment and the large effects are not possible for the independent values of the hypothesis.

In other words, we can say that the we have to correctly rejecting the null hypothesis.

So, For the given statement, we have to correctly rejecting the null hypothesis.

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Answer:

10.1

Step-by-step explanation:

It's the circle of yeah yeah and it moves us all.

A z-score represents the number of standard deviations a data point is away from the mean. A score that is 2.5 standard deviations below the mean would have a z-score of -2.5 that is option D.

A z-score is a statistical measure that indicates how many standard deviations a particular data point is away from the mean of a distribution. It is calculated using the formula:

z = (x - μ) / σ

Where:

z is the z-score,

x is the value of the data point,

μ is the mean of the distribution, and

σ is the standard deviation of the distribution.

If a score is 2.5 standard deviations below the mean, it means that the value of x is 2.5 times the value of σ below the mean. In other words, it is located in the left tail of the distribution.

Since the z-score represents the number of standard deviations away from the mean, a score that is 2.5 standard deviations below the mean would have a z-score of -2.5. The negative sign indicates that the score is below the mean.

So, if we substitute the values into the z-score formula:

z = (x - μ) / σ

-2.5 = (x - μ) / σ

This equation represents the z-score being -2.5, indicating that the score is 2.5 standard deviations below the mean.

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If Snoopy is on a 14-foot long chain attached to the corner of a garage, he has an area of 196 square feet to roam.

This is calculated by using the formula for the area of a circle, where the radius is equal to half the length of the chain (7 feet). The formula is A = πr2, so the area is A = π(7)2 = 196 sq ft.

To further develop this topic, it is important to understand the concept of a circle and the equation for its area. A circle is a two-dimensional shape that is defined by a single point (the center) and a single line (the radius). The area of a circle is the amount of space that it covers and is calculated using the formula A = πr2, where r is the radius of the circle. This formula can be used to calculate the area of any circle, regardless of size.

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Answer:

∠4 = ∠8

Step-by-step explanation:

the lines are parallel if a pair of corresponding angles are congruent

Answer: £2425.50

Step-by-step explanation:

£2200 x 1.05    (1.05 squared) (i dont know how to do the little 2)

Carla's behavior of putting in extra practices to become faster can be seen as an example of (Option A.) compensation. This is because she is trying to make up for her perceived lack of speed by working harder to become as fast as her teammates.

Carla's behavior of putting in extra practices to become faster can be seen as an example of compensation. This is because she is trying to make up for her perceived lack of speed by working harder to become as fast as her teammates.

By engaging in extra practices, Carla is attempting to compensate for her lack of speed and improve her performance. This is different from rationalization, which is the act of making excuses for one's behavior, or from regression, which is the act of reverting to a younger age in response to a stressful situation.

Finally, displacement is the act of redirecting one's emotions or anger onto another person or object.

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Answer:

150

Step-by-step explanation:

Knowing that a cube has 6 faces which all are equal.

Thus, Multiply the area of one face by the number of faces to get the total surface area of the cube.

Since, it given that one face is 5 cm

Then, we also must know the formula for area of a cube

Which is:

\(Area=6a^2\)

Thus,

\(Area=6a^2\)

\(Area=6(5)^2\)

\(Area=6(25)\)

\(Area=150\)

Kavinsky

Answer:

12- C 13- A

Step-by-step explanation:

Answer:

12) C.

13) B.

Step-by-step explanation:

12)

The line is a positive slope, with a y-intercept: (0, 2).

13)

The equation has a positive slope, with a y-intercept: (0, 3).

Answer:

Mr. A initially paid approximately N8000 for the land.

Step-by-step explanation:

Step 1: Let's assume Mr. A initially purchased the land for a certain amount, which we'll call "x" in currency units.

Step 2: Mr. A sold the land to Mr. B at a profit of 10%. This means Mr. A sold the land for 110% of the amount he paid (1 + 10/100 = 1.10). Therefore, Mr. A received 1.10x currency units from Mr. B.

Step 3: Mr. B sold the land to Mr. C at a gain of 5%. This means Mr. B sold the land for 105% of the amount he paid (1 + 5/100 = 1.05). Therefore, Mr. B received 1.05 * (1.10x) currency units from Mr. C.

Step 4: According to the given information, Mr. C paid N1240 more for the land than Mr. A paid. This means the difference between what Mr. C paid and what Mr. A paid is N1240. So we have the equation: 1.05 * (1.10x) - x = N1240

Step 5: Simplifying the equation: 1.155x - x = N1240

Step 6: Solving for x: 0.155x = N1240

x = N1240 / 0.155

x ≈ N8000

Therefore, in conclusion, Mr. A initially paid approximately N8000 for the land.

Answer:

4/3 ft

Corrected question;

Francine has a piece of wood that is five 5/12 feet long she uses three 1/4 feet of the wood from a science project how much for just Francine have left.

Step-by-step explanation:

Given;

Francine has a piece of wood that is five 5/12 feet long.

Total amount of wood T = 5 × 5/12 ft = 25/12 ft

she uses three 1/4 feet of the wood from a science project.

Amount of wood Used U = 3 × 1/4 = 3/4 ft

The amount of wood left equals the total amount of wood minus the amount of wood used;

The amount of wood left L = T - U = 25/12 - 3/4

L = 25/12 - 9/12

L = 16/12

L = 4/3 ft

At the base of the corporate social responsibility pyramid is economic responsibility. This refers to the organization's duty to generate profits, provide goods and services, and contribute to economic growth.

The base of the corporate social responsibility (CSR) pyramid is economic responsibility. This means that businesses have a fundamental obligation to be financially viable and generate profits. Economic responsibility involves activities such as creating products and services that meet customer needs, effectively managing resources and costs, and contributing to economic growth.

It is crucial because a company's financial stability enables it to fulfill its other responsibilities, such as ethical, legal, and philanthropic obligations. Without profitability, a business may struggle to invest in sustainable practices, support social causes, or adhere to ethical standards.

Additionally, financial success allows companies to provide employment opportunities, stimulate economic development, and contribute to the well-being of stakeholders. Therefore, economic responsibility serves as the foundation for organizations to fulfill their broader social and environmental commitments.

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Answer:

The value of x is 8.1

Step-by-step explanation:

We can use SOH CAH TOA to find our answer.

In this acronym, O is the opposite side, A is the adjacent side, and H is the hypotenuse. S is for the SIN function. C is for the COS function. T is for the TAN function.

We can calculate the length of the string by using the COS function.

So we can say the tangent of angle \(\beta\) is the opposite side divided by the adjacent side.

\(tan( \beta)=\frac{O}{A}\)

We are given the angle and the opposite side. We are looking for the adjacent side.

Lets solve for \(A\).

Take the reciprocal of both sides.

\(\frac{1}{tan(\beta)} =\frac{A}{O}\)

Multiply both sides by \(O\).

\(\frac{1}{tan(\beta)} *O=A\)

We are given

\(\beta=56\textdegree \\O=12\)

\(\frac{1}{tan(56)} *12=A\)

\(A=8.0941022\)

The computed value of equation for the line between (4,5,6) and (1,0,-3) in R³, (x, y,z) = (4,5,6) + (1,0,-3) and the midpoint between the two points is equals to the \( (\frac{5}{2}, \frac{5}{2}, \frac{3}{2}). \).

We have to determine the equation for the line between (4,5,6) and (1,0,-3) in R³. Equation is written as (x, y,z) = (4,5,6) + (1,0,-3). The midpoint is equals to middle point of a line segment. It is equidistant from both endpoints. The midpoint can be found with the formula, \((x, y, z) = (\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}, \frac{z_1 + z_2}{2})\)

Here (x₁, y₁ , z₁) and (x₂, y₂, z₂) are the coordinates of two points, and the midpoint is a point lying equidistant and between these two points. Here,

x₁ = 4, y₁ = 5, z₁ =6 and x₂ = 1, y₂=0, z₂ = -3, Substitute all known values in above formula, \((x, y, z) = (\frac{4+1}{2}, \frac{5+ 0}{2}, \frac{6+ (-3)}{2}). \)

=\( (\frac{5}{2}, \frac{5}{2}, \frac{3}{2}). \)

Hence, required value of midpoint is

\( (\frac{5}{2}, \frac{5}{2}, \frac{3}{2}). \)

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Using the properties of similar triangles and ratio and proportion we get the vale of x as 2.8 units.

In the given figure the triangle ΔKFG and ΔFJH

KG is parallel to JH

Hence ΔKFG is similar to ΔFJH

Now using the property of similarity and proportion we can say that:

FG/FH = KF/JF

putting the values in the above proportion we get:

7 /(7+x) = 5/ 7

or, 49 = 35 +5 x

or, 14 = 5x

or, x =14/5

or, x = 2.8

The majority of ratio and percentage explanations involve using fractions.

A proportion states that two variables are equal, whereas a ratio is a fraction that is written as a:b. The two ratios given are equal to one another, as demonstrated by the proportional equation.

Hence the value of x is 2.8 units.

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9514 1404 393

Answer:

  {-2.965, -0.464}

Step-by-step explanation:

A graphing calculator shows the solutions to be about -2.965 and -0.464.

A machine solver for the cubic gives the three solutions as approximately ...

  {-2.9650134903182933558,

  -0.46362503406015100280,

  4.0953051910451110253}

__

The attached graph shows the solutions to f(x) = g(x).

_____

Additional comment

The equation could resolve to a single cubic in standard form:

  -3/4x^3 +1/2x^2 +10x -7/9 = |0.5x +2| -7

Multiplying by 36 gives ...

  -27x^3 +18x^2 +360x -28 = |18x +72| -252

For the case where x > -4, we can subtract (18x -180) from both sides to get ...

  -27x^3 +18x^2 +342x +152 = 0

The roots of this cubic equation are the solutions to f(x) = g(x) as given above. If you want to find them by iteration, a suitable starting point is -152/342 = -4/9.

Answer:

(-2.965, -0.464)

Step-by-step explanation:

We could expect $30.00 to gain after 20 tosses.

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of sample

The probability of all the events occurring need to be 1.

if the toss of a coin comes down heads, you win a dollar. if it comes down tails, you lose fifty cents.

We need to find out How much would you expect to gain after 20 tosses (in $ dollars).

Because if you think about it, you will see that about half of them are going to be heads and the other half are going to be tails.

Therefore, We could expect $30.00 to gain after 20 tosses.

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The rules of the calculation are:

The complete question is added as an attachment

The equation is given as:

0.738 × 0.28 = 0.20664

When approximated, we have:

0.738 × 0.28 ≈ 0.21

The above approximation can mean any of the following:

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The value of z such that 0.15 of the area lies to the right of z can be found using the standard normal distribution table or a statistical calculator.

First, we need to determine the area to the left of z, which is 1 - 0.15 = 0.85. This is the area under the standard normal curve up to z.

Next, we need to find the corresponding z-score for this area. We can use the inverse normal distribution function, which is available in most statistical calculators. Alternatively, we can use the standard normal distribution table to find the value of z that corresponds to an area of 0.85.

Using the standard normal distribution table, we can look up the area 0.85 in the body of the table or the cumulative area column. The corresponding z-score is 1.04. This means that 85% of the area under the standard normal curve lies to the left of z = 1.04, and 15% of the area lies to the right of z = 1.04.

Therefore, the value of z such that 0.15 of the area lies to the right of z is z = 1.04, rounded to two decimal places. This means that if we have a standard normal distribution with a mean of 0 and a standard deviation of 1, then approximately 15% of the values will be greater than 1.04 standard deviations above the mean.

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Answer:

3

Step-by-step explanation:

√72 ÷ 2√2

=> √(2 x 2 x 2 x 3 x 3) ÷ 2√2

=> 2 x 3√2 ÷ 2√2

=> 6√2 ÷ 2√2

=> 3

Answer:

\(\frac{b^{4} }{a}\)

Step-by-step explanation:

\(\frac{a^{3}b^{5} }{a^{4}b }\) is the equation we need to simplify. In order to do this, we must remember what these exponents mean.

\(\frac{a^{3}b^{5} }{a^{4}b }\) = \(\frac{aaabbbbb}{aaaab}\)

Now, we see that we can divide and cancel.

\(\frac{aaabbbbb}{aaaab}\) = \(\frac{bbbb}{a}\) = \(\frac{b^{4} }{a}\)

Another way we can solve this is by knowing that exponents in the denominator become negative when we move them to the numerator:

\(\frac{a^{3}b^{5} }{a^{4}b }\) = \(a^{3}b^{5}a^{-4}b^{-1}\) = \(a^{-1}b^{4}\) = \(\frac{b^4}{a}\)

Answer:

The interval on which the solution is defined depends on the domain of the exponential function. Since e^((1/2)x^2 + ln(2)) is defined for all real numbers, the solution is defined on the interval (-∞, +∞), meaning the solution is valid for all x values.

Step-by-step explanation:

o solve the differential equation dy/dx = xy with the initial condition y(0) = 2, we can separate the variables and integrate both sides.

Starting with the given differential equation:

dy/dx = xy

We can rearrange the equation to isolate the variables:

dy/y = x dx

Now, let's integrate both sides with respect to their respective variables:

∫(dy/y) = ∫x dx

Integrating the left side gives us:

ln|y| = (1/2)x^2 + C1

Where C1 is the constant of integration.

Now, we can exponentiate both sides to eliminate the natural logarithm:

|y| = e^((1/2)x^2 + C1)

Since y can take positive or negative values, we can remove the absolute value sign:

y = ± e^((1/2)x^2 + C1)

Next, we consider the initial condition y(0) = 2. Substituting x = 0 and y = 2 into the solution equation, we get:

2 = ± e^(C1)

Here, we see that e^(C1) is positive since it represents the exponential of a real number. So, the ± sign can be removed, and we have:

2 = e^(C1)

Taking the natural logarithm of both sides:

ln(2) = C1

Now, we can rewrite the general solution with the determined constant:

y = ± e^((1/2)x^2 + ln(2))

(a) The partial fraction decomposition of F(s) is: \(F(s) = 5/(s - 3) + 2/(s - 4)\).
(b) The inverse Laplace transform of F(s) is \(f(t) = 5e^{3t} + 2e^{4t}\).

a. To find the partial fraction decomposition of F(s), we factor the denominator of F(s) as follows:

\(s^2 - 7s + 12 = (s - 3)(s - 4)\)

The partial fraction decomposition is given by:

F(s) = A/(s - 3) + B/(s - 4)

To find the values of A and B, we need to solve for them. We can do this by equating the numerators of the fractions:

7s - 24 = A(s - 4) + B(s - 3)

Expanding the right side:

7s - 24 = As - 4A + Bs - 3B

Matching the coefficients of like terms:

7s - 24 = (A + B)s + (-4A - 3B)

Equating the coefficients:

A + B = 7

-4A - 3B = -24

Solving this system of equations, we find A = 5 and B = 2. Therefore, the partial fraction decomposition of F(s) is:

F(s) = 5/(s - 3) + 2/(s - 4)

b. To find the inverse Laplace transform of F(s), we can use the linearity property of the Laplace transform and the inverse Laplace transform table. The inverse Laplace transform of 5/(s - 3) is \(5e^{3t}\), and the inverse Laplace transform of \(2/(s - 4) is 2e^{4t}\). Therefore, the inverse Laplace transform of F(s) is: \(f(t) =L^{-1}{F(s)}= 5e^{3t} + 2e^{4t}\)

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Premise 1: Hard water can damage home appliances. Premise 2: A water softening system can prevent hard water. Conclusion: Therefore, a water softening system can prevent damage to home appliances.

The argument consists of two premises and a conclusion. Premise 1 states that hard water can cause damage to home appliances. Premise 2 states that a water softening system can prevent hard water. The conclusion drawn from these premises is that a water-softening system can prevent damage to home appliances.

In standard form, the argument is presented by listing the premises first, followed by the conclusion. This format helps to clearly identify the statements being made and their logical relationship. By representing the argument in this way, it becomes easier to analyze the structure and validity of the reasoning presented.

Therefore, the standard form representation of the argument is:

Premise 1: Hard water can damage home appliances.

Premise 2: A water softening system can prevent hard water.

Conclusion: Therefore, a water softening system can prevent damage to home appliances.

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Answer:hi there!that same guy did that w my question too :( i’m reporting his answers. i will help u out tho ahah. the answer is 470(32-n). i hope this helps :). have a good dayyy

Step-by-step explanation: