Solvex + 3 = −6.
A. x= -3 and x = 9
B. x = 3 and x = -9
C. X=-3 and x = -9
D. No solution

Differentiation, helps to determine the value of 'n'. There is a value -3, or n = -3, exist such that y = xⁿeˣ, and satisfies the equation, xy' = ( x - 3)y.

We have an expression of y = xⁿeˣ --(1)

and we have to determine value of 'n' for which satisfies the equation xy' = ( x - 3)y --(2), which consists first derivative of y and other values. So,

Differentiating equation (1) w.r.t x

dy/dx = y' = xⁿ(d(eˣ)/dx) + eˣ(d(xⁿ)/dx

(product rule of differentiation)

=> y' = xⁿ(eˣ) + neˣ( x⁽ⁿ⁻¹⁾ )

=> y' = n(xⁿ⁻¹ )eˣ + eˣ × (xⁿ)

Substitute the value of y' in L.H.S of equation (2)

xy' = x(n( xⁿ⁻¹ )eˣ + eˣ × xⁿ )

=> xy'= n(xⁿ)eˣ + eˣ × (xⁿ⁺¹ ) = xⁿeˣ ( n + x)

solve for R.H.S, (x - 3)y = (xⁿ)(eˣ)( x - 3)

= ( xⁿ⁺¹ )eˣ - 3 × xⁿeˣ = xⁿeˣ( x - 3)

By comparing the new expression for both sides,

n(xⁿ)eˣ + eˣ (xⁿ⁺¹ ) = (xⁿ⁺¹ )eˣ - 3 × xⁿeˣ

=> xⁿeˣ ( n + x) = xⁿeˣ ( x - 3)

=> n + x = x - 3

=> n = -3

Therefore, there is n= -3, finite value of n exist which satisfy xy' = ( x - 3)y. Thus -3 is value of n which exists.

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Complete question :

Find a value of n such that y =xⁿeˣ, satisfies the equation xy'=(x-3)y. (use symbolic notation and fractions where needed.)

Answer:

b = 30 degrees.

Step-by-step explanation:

Two angles are said to be complement of each other if their sum is 90 degrees

________________________

given

one angle is b

let other angle be x

given that  angle b is one-half the measure of its complement

thus, mathematically we can the above statement as

b = 1/2(x)

now sum of both the angle will be 90 degrees as they are complementary

b + x = 90

using b =  1/2(x)

=> 1/2(x) + x = 90

=> x/2 + x = 90

=> (x +2x)/2 = 90

=> 3x = 180

=> x = 180/3 = 60

thus,

b =  1/2(x) =  1/2(60) = 30

thus, measure of angle b is 30 degrees.

\( \large \tt \: m = - \frac{3}{7} \)

Answer:

slope = - \(\frac{3}{7}\)

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (2, \(\frac{2}{7}\) ) and (x₂, y₂ ) = (1, \(\frac{5}{7}\) )

m = \(\frac{\frac{5}{7}-\frac{2}{7} }{1-2}\) = \(\frac{\frac{3}{7} }{-1}\) = - \(\frac{3}{7}\)

Answer:

Hi there! the answer is: 0.857

Step-by-step explanation:

1/7 x 6 = 0.85714285714 but you can ALWAYS shorten that for your answer by doing 0.857!

Hope this helped! please mark me brainliest if possible

Answer:

Shorten form=0.857

Normal form=0.85714285714

Step-by-step explanation:

Decision Support Systems (DSS) draw information from a variety of sources, including internal data generated within the organization and external data obtained from outside sources. Internal data encompasses data such as sales figures, financial statements, and customer records, providing an organization-specific view. External data includes market research reports, industry benchmarks, and government data, offering a broader context and insights into market trends and customer preferences. DSS can also utilize external databases and sources, such as data aggregators and public repositories, to access specialized data sets. By combining internal and external data sources, DSS can provide comprehensive decision support, enabling organizations to make informed choices based on a wide range of information.

Decision Support Systems (DSS) rely on a wide range of data sources to provide valuable information for decision-making processes. These sources can be categorized into internal and external data, each offering unique perspectives and insights.

Internal data refers to information generated and stored within an organization. This data can include sales figures, financial statements, customer records, inventory levels, and employee performance data. Internal data provides an organization-specific view and can be readily accessible for analysis within the DSS.

External data, on the other hand, encompasses information obtained from sources outside the organization. It can include market research reports, industry benchmarks, economic indicators, government data, social media feeds, and customer feedback. External data offers a broader context and helps organizations gain insights into market trends, competitor analysis, customer preferences, and regulatory changes.

Furthermore, DSS can also tap into various external databases, such as data aggregators, research institutions, and public repositories. These sources provide specialized data sets related to specific industries, demographics, geographies, or subjects of interest. By integrating these external sources, DSS can enhance its analytical capabilities and provide comprehensive decision support.

In conclusion, the information used in a Decision Support System can be obtained from both internal and external sources. By leveraging internal data and tapping into external databases and sources, DSS can provide a holistic and informed perspective for decision-making processes.

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Answer:

x , -

Step-by-step explanation:

2 x 4 = 8

8 - 8 = 0

Answer: 108π inches squared

Step-by-step explanation:

Formula : Area of sector = \(\dfrac{\theta}{360^{\circ}}\times\pi r^2\)

where , r= radius and \(\theta =\)

Given : A certain car's windshield wiper has a total length of 22 inches. As the wiper pivots it clears a sector with a central angle of 120 degrees.

If only 18 inches of the wiper cleans the windshield, then we take radius of the range of wiper cleaining = 18 inches

The area of the windshield that is wiped during each swing = Area of the sector made by wiper of  with a central angle of 120 degrees.

\(=\dfrac{120}{360}\times\pi (18)^2\\\\=\dfrac{18^2}{3}\pi=\dfrac{18\times6}{1}\pi=108\p\text{ inches}^2\)

Hence, the area (in exact form) of the windshield that is wiped during each swing is 108π inches squared.

Answer:

Yes  you can form a triangle with those angles

Step-by-step explanation:

Answer:

Yes. The sum of all 3 angles = 180 degrees.

The density of the Geometry textbook is 0.06 g/cm^3.

To find the density of the Geometry textbook in g/cm^3, we need to find its volume first. The volume of a rectangular prism is given by the formula V = l x w x h, where l is the length, w is the width, and h is the height.

In this case, the length is 16 cm, the width is 10 cm, and the height is 5 cm. Therefore, the volume of the Geometry textbook is:

V = l x w x h = 16 cm x 10 cm x 5 cm = 800 cm^3

Now, we can find the density of the textbook using the formula:

\(density = mass / volume\)

Plugging in the given mass of 48 grams and the calculated volume of 800 cm^3, we get:

density = 48 g / 800 cm^3 = 0.06 g/cm^3

Therefore, the density of the Geometry textbook is 0.06 g/cm^3. We rounded our answer to two decimal places as the original mass was given in grams to two decimal places.

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Answer:

The function is increasing from x = 0 to x = 1.

Step-by-step explanation:

A function is increasing when the y-value increases as the x-value increases.

A function is decreasing when the y-value decreases as the x-value increases.

From x = -2 to x = -1 the function is decreasing as the y-value decreases as the x-value increases:  

From x = -1 to x = 0 the function is increasing as the y-value increases as the x-value increase:  

From x = 0 to x = 1 the function is increasing as the y-value increases as the x-value increase:  

Angle ABC is greater than angle C, as required. Given triangle ABC with AC greater than AB, and BD drawn such that AD is congruent to AB, we need to prove that angle ABC is greater than angle C.

To begin with, we can draw a diagram to visualize the situation. In the diagram, we see that BD is an altitude of triangle ABC, as well as a median since it divides the base AC into two equal parts. We also see that triangles ABD and ABC are congruent by the side-side-side (SSS) criterion, which means that angle ABD is equal to angle ABC.

Now, we can use this information to prove our statement. Since triangle ABD and triangle ABC are congruent, their corresponding angles are also equal. Therefore, we know that angle ABD is equal to angle ABC.

Next, we observe that angle ABD is a right angle, since BD is an altitude of triangle ABC. This means that angle ABC is the sum of angles ABD and CBD.

Since AD is congruent to AB, we also know that angles ABD and ADB are congruent. Therefore, angle CBD is greater than angle ADB.

Putting all of this together, we can conclude that angle ABC is greater than angle C, as required.

In summary, we have shown that given triangle ABC with AC greater than AB and BD drawn such that AD is congruent to AB, angle ABC is greater than angle C. This is because angles ABD and CBD add up to angle ABC, and angle CBD is greater than angle ADB.

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Regardless of what the Inspector chooses, the Owner's expected payoff is the same (33.33). The Owner does not have a better option than waiting for the Inspector to choose container B.

This problem can be modeled as a game of incomplete information. The Inspector and Owner are players in the game, and each has two possible strategies: either choose container B, or switch to container C. The payoffs for each player depend on the strategy they choose and which container contains the counterfeit goods.

To solve this game, we can use backward induction. We start by considering the final decision point: whether to switch to container C after seeing that container A does not contain the counterfeit goods. Let's consider the two cases:

If the counterfeit goods are in container B, then the Inspector knows that container C also does not have the counterfeit goods. In this case, the payoff for choosing container B is 100 (if they find the counterfeit goods) or -100 (if they do not).

If the counterfeit goods are in container C, then the Inspector knows that container B does not have the counterfeit goods. In this case, the payoff for switching to container C is 100 (if they find the counterfeit goods) or -100 (if they do not).

Since the Inspector does not know which container has the counterfeit goods, they should choose the strategy with the higher expected payoff. To calculate the expected payoffs, we need to consider the probability that the counterfeit goods are in each container. Since the owner chose one container at random, each container has a 1/3 chance of containing the counterfeit goods.

If the Inspector chooses container B, the expected payoff is:

Expected payoff (choose container B) = (1/3) * 100 + (2/3) * (-100) = -33.33

If the Inspector switches to container C, the expected payoff is:

Expected payoff (switch to container C) = (1/3) * 100 + (2/3) * (-100) = -33.33

Therefore, regardless of what the Inspector chooses, their expected payoff is the same (-33.33). This means that the Inspector does not have a better option than choosing container B, and switching to container C does not improve their chances of finding the counterfeit goods.

For the Owner, if the Inspector chooses container B, then the Owner's expected payoff is:

Expected payoff (Inspector chooses container B) = (1/3) * (-100) + (2/3) * 100 = 33.33

If the Inspector switches to container C, then the Owner's expected payoff is:

Expected payoff (Inspector switches to container C) = (1/3) * (-100) + (2/3) * 100 = 33.33

Therefore, regardless of what the Inspector chooses, the Owner's expected payoff is the same (33.33). The Owner does not have a better option than waiting for the Inspector to choose container B.

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Answer:

m=-2

Step-by-step explanation:

the formula for slope (m) is (y2-y1)/(x2-x1)

the given points are (3,-7) and (4,-9)

label the points;

x1=3

y1=-7

x2=4

y2=-9

substitute into the equation:

m=(-9--7)/(4-3)

m=(-9+7)/(1)

m=-2/1

the slope is -2

hope this helps!

We know that an experiment can be considered verifiable, meaning that its results can be trusted and used to inform future research and decision-making.

For an experiment to be considered verifiable, several things should be done. Firstly, the experiment should be designed in a way that allows others to replicate it and obtain the same results. This means that all procedures, materials, and variables used should be clearly documented and made available to others.

Secondly, the experiment should be conducted in a controlled environment, where all external factors that could influence the results are minimized or eliminated.

Thirdly, the data obtained from the experiment should be analyzed and interpreted objectively, without any bias or preconceived notions. Finally, the results should be subjected to peer review and scrutiny by experts in the relevant field to ensure that they are valid and reliable.

By following these steps, an experiment can be considered verifiable, meaning that its results can be trusted and used to inform future research and decision-making.

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The circulation of the field f = x i y j around the curve r(t) = [cos(t)] i [sin(t)] j is    2π ∫₀ (cos t sin t - sin t cos tj)dt = 0

Integration is described as blending matters or human beings collectively that have been formerly separated. An example of integration is while the schools have been desegregated and there have been now not separate public faculties for African individuals.

The method of finding integrals is referred to as integration. at the side of differentiation, integration is a fundamental, crucial operation of calculus, and serves as a device to solve troubles in mathematics and physics regarding the location of an arbitrary form, the length of a curve, and the extent of a solid, among others.

r (t) = cost i + sin t j = dr( sin ti + cos t)dt

F =  -xi -yj = -costi - sin tj

Flux = F .dr = \(\int\limit2n^0_b {-costi - sin tj} \, dx\)j)-( sin ti + cos t)dt

           \(\int\limit2n^0_b {-costi - sin tj} \, dx\) -( sin ti + cos t)dt

     2π ∫₀ (cos t sin t - sin t cos tj)dt = 0

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To find the probability of selecting a sample of 50 one-bedroom apartments and finding the mean to be at least $1,950 per month, we can use the Central Limit Theorem.

This theorem states that for a large enough sample size, the distribution of sample means will be approximately normal, regardless of the shape of the original distribution.
Given that the population mean is $2,200 and the standard deviation is $250, we can calculate the standard error of the mean using the formula: standard deviation / square root of sample size.
Standard error = $250 / sqrt(50) ≈ $35.36
To find the probability of obtaining a sample mean of at least $1,950, we need to standardize this value using the formula: (sample mean - population mean) / standard error.
Z-score = (1950 - 2200) / 35.36 ≈ -6.57
Since the distribution is positively skewed, the probability of obtaining a Z-score of -6.57 or lower is extremely low. In fact, it is close to 0. Therefore, the probability of selecting a sample of 50 one-bedroom apartments and finding the mean to be at least $1,950 per month is very close to 0.

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Answer:

-19. Cant be -6 as its to the right. the others are positive.

The total amount of money earned by Nora salary over the 21 years is approximately $1,848,000.

To find the total amount of money earned by Nora over 21 years, we need to calculate the salary for each year and then sum them up.

In the first year, Nora's salary is $40,000.

In the second year, her salary will be increased by 3%, so it will be:

$40,000 + 3% of $40,000 = $40,000 + $1,200 = $41,200.

In the third year, her salary will again increase by 3%, so it will be:

$41,200 + 3% of $41,200 = $41,200 + $1,236 = $42,436.

We can continue this process for each year, adding 3% of the previous year's salary to calculate the next year's salary.

To calculate the total amount of money earned over the 21 years, we need to sum up the salaries for each year. Here's the calculation:

Total = $40,000 + $41,200 + $42,436 + ... (21 terms)

To simplify the calculation, we can use the formula for the sum of an arithmetic series:

Total = (n/2) * (2a + (n - 1)d)

where:

n = number of terms (21 in this case)

a = first term ($40,000)

d = common difference (3% of the previous year's salary)

Plugging in the values:

Total = (21/2) * [2(40,000) + (21 - 1)(0.03)(40,000)]

Simplifying further:

Total = (21/2) * [80,000 + 20(0.03)(40,000)]

= (21/2) * [80,000 + 2,400(40,000)]

= (21/2) * [80,000 + 96,000]

= (21/2) * 176,000

= 21 * 88,000

= 1,848,000

Therefore, the total amount of money earned by Nora salary over the 21 years is approximately $1,848,000.

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There are 720 six-letter sequences possible that use the letters q, u, a, k, e, s once each.

A six-letter sequence that uses the letters q, u, a, k, e, s once each is known as a permutation.

Here, we will learn how many six-letter sequences are possible that use the letters q, u, a, k, e, s once each.

To solve this problem, use the formula for permutations with distinct objects.

Since there are six distinct letters,

The number of six-letter permutations is given by the formula:

P (n, r) = n!/(n - r)!

Here, we have n = 6 and r = 6, so:P(6, 6) = 6!/(6 - 6)!P (6, 6) = 720/0P (6, 6) = 720

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Answer:

8

Step-by-step explanation:

0.5x-7=3

add 7 to both sides

0.5x=4

multiply both sides by 2

x=8

The scientist needs to sample at least 52 trees to obtain an average accurate to within 20 peaches per tree.

The formula for the sample size required to estimate the population mean with a specified margin of error is:

n = (z² * σ²) / E²

where:

n is the required sample size

z is the z-score for the desired level of confidence (in this case, 1.96 for 95% confidence)

σ is the population standard deviation (35 peaches per tree)

E is the desired margin of error (20 peaches per tree)

Plugging in the given values, we get:

n = (1.96² * 35²) / 20²

n ≈ 52

Therefore, the scientist needs to sample at least 52 trees to obtain an average accurate to within 20 peaches per tree, with 95% confidence.

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The area of the field is 10,765.44 square meters.

Given that:

Diameter, d = 72 m

Width, W = 72 m

Length, L = 93 m

The area of a two - dimensional figure is the area that its perimeter encloses. The quantity of unit squares that occupy a closed figure's surface is its region.

The area of the field is calculated as,

A = (π/4)d² + W·L

A = (3.14 / 4) x 72² + 72 x 93

A = 4,069.44 + 6,696

A = 10,765.44 square meters

The area of the field is 10,765.44 square meters.

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Answer:

Image result for Use the Hypotenuse Theorem

The Pythagoras theorem, also known as the Pythagorean theorem, states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle. Or, the sum of the squares of the two legs of a right triangle is equal to the square of its hypotenuse.

Step-by-step explanation:

Answer:

If z= a+b than |z| = |a + b|.

Step-by-step explanation:

If z= a+b than |z| = |a + b|.

Answer:

81.82 (i think)

Answer:

D(12) = 2,600 miles

It means a distance of 2,600 miles is already traveled from home after 12 hours

Step-by-step explanation:

To find D(12); all we have to do is to substitute the value of 12 for D

We have this as;

D(12) = 3260-55(12)

D(12) = 2,600

In the context of this problem, what this mean is that the distance away from home is 2,600 miles after traveling 12 hours

Answer:

X= 12.5

Step-by-step explanation:

U do the inverse which is 114.50-14.50=100

100\8= 12.5

Answer:

b) 12.6 inches

Step-by-step explanation:

tangent is the ratio of the side opposite over adjacent, so if we let x= length of the opposite side, 1.40=x/9, x=12.6 inches

b) 12.6 inches

Hope it helps!!

Answer:

A - $360

Step-by-step explanation:

Length times width equals area.

12 × 10 = 120

His office has 120 sq ft of space. If each sq ft costs $3

120 × 3 = $360

A

Answer:

A ($360)

Step-by-step explanation:

imagine a rectangle with one side 12ft and one side 10ft

multiply the length and the width to find the square footage:

12*10=120ft^2

each square foot is $3 so multiply 3 by 120

$3*120ft^2= $360

oops didn't realize someone already answered sorry