a merchant gains 15% by selling an article for $ 150. by how much does he sell it to double his profit ?​

To find the maximun height we need the vertex of the quadratic equation,

To calculate it, we use

Where x is x value in the maximun value, b is the coefficient of the linear expression and a is the coefficient of the square expression

And the y axis is,

So, to find the maximun height we need the vertex of the quadratic equation. In this case the maximun height is 114.72 feet.

First question)

To write the vertical motion equation we use,

Where g is the gravity, v0 is the initial velocity and h0 is the initial height.

Then, we need to replace the values

The variational approach in Sobolev spaces allows us to obtain classical solutions directly from equations, even if the standard derivative does not exist for some functions. Classical solutions to the boundary value problem are always weak solutions.

The standard derivative is a well-known concept in calculus, representing the instantaneous rate of change of a function with respect to its variable. However, not all functions have a standard derivative, especially when dealing with more complex functions or discontinuous ones. In such cases, the concept of a weak derivative comes into play.

A weak derivative is a broader concept that extends the notion of a standard derivative to a wider class of functions, allowing us to handle functions with certain types of discontinuities or irregular behavior. It is a distributional derivative, and while it might not exist in the classical sense, it still provides valuable information about the function's behavior.

The variational approach is a powerful technique in functional analysis that enables us to obtain solutions to partial differential equations (PDEs) and boundary value problems by minimizing certain energy functionals.

By utilizing this approach within Sobolev spaces, which are function spaces containing functions with weak derivatives, we can derive classical solutions to equations, even for functions that lack standard derivatives.

Sobolev spaces, denoted by \(W^k\),p, are spaces of functions whose derivatives up to a certain order k are in the \(L^p\) space, where p is a real number greater than or equal to 1. These spaces play a crucial role in dealing with weak solutions, as they provide a suitable framework for functions that may not possess classical derivatives.

By working within Sobolev spaces, we can handle functions with certain irregularities and still obtain meaningful solutions to problems.

Learn more about  Standard derivative

brainly.com/question/32908379

#SPJ11

A campsite is in the shape of a rectangle. The green region represents campsites with shade. The yellow region represents campsites without shade. The probability that your campsite has shade 1/2.

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

A campsite is in the shape of a rectangle.

The green region represents campsites with shade.

The yellow region represents campsites without shade.

There are only two possibilities either shaded or not shaded So, the total number of outcomes would be 2.

The probability that your campsite has shade = 1/2

Learn more about probability here;

https://brainly.com/question/11234923

#SPJ1

The true statement is trapezoids are parallelograms. Option b is correct.

A trapezoid is a quadrilateral with at least one pair of parallel sides, but it does not necessarily have congruent sides or right angles. Therefore, the statement "A trapezoid must have one pair of congruent sides" is false.

On the other hand, a trapezoid can be classified as a special type of parallelogram because it has one pair of parallel sides. So, the statement "Trapezoids are parallelograms" is true.

As for the last statement, it is incorrect to say that all squares are parallelograms. A square is a special type of rectangle, but it is not a parallelogram because its opposite sides are not parallel.

Therefore, b is correct.

Learn more about trapezoids https://brainly.com/question/31380175

#SPJ11

Answer:

3 MONTHS

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIEST

Answer:

Assuming that the final exam is worth 20% of the final grade, we can use the following formula to calculate the overall grade:

overall grade = (0.8 * current grade) + (0.2 * final exam grade)

Plugging in the values given in the problem, we get:

overall grade = (0.8 * 77%) + (0.2 * 0%) = 61.6%

Therefore, if you get a score of 0/20 on the final exam, your overall grade would be 61.6%.

False. The derivative of the function f(x) = 5sin(x) + cos(x) is not equal to -5cos(x) - sin(x). The correct derivative of f(x) can be obtained by applying the rules of differentiation.

To find the derivative, we differentiate each term separately. The derivative of 5sin(x) is obtained using the chain rule, which states that the derivative of sin(u) is cos(u) multiplied by the derivative of u. In this case, u = x, so the derivative of 5sin(x) is 5cos(x).

Similarly, the derivative of cos(x) is obtained as -sin(x) using the chain rule.

Therefore, the derivative of f(x) = 5sin(x) + cos(x) is:

f'(x) = 5cos(x) - sin(x).

This result shows that the derivative of f(x) is not equal to -5cos(x) - sin(x).

In summary, the statement that f'(x) = -5cos(x) - sin(x) is false. The correct derivative of f(x) = 5sin(x) + cos(x) is f'(x) = 5cos(x) - sin(x).

To learn more about derivative, click here: brainly.com/question/23819325

#SPJ11

The first constraint is a linear equation that relates the variables x1, x2, and x3, and the second constraint is an inequality constraint involving x1 and x2The given problem is a linear programming problem in its primal form.

The objective is to maximize the expression z = 7x1 - 5x2 - 2x3, subject to two constraints.. The goal is to find the values of x1, x2, and x3 that maximize the objective function while satisfying the given constraints.

In the primal problem, the objective is to maximize the expression z, which is a linear combination of the decision variables x1, x2, and x3. The coefficients 7, -5, and -2 represent the weights assigned to each variable in the objective function. The constraints represent the relationships and limitations imposed on the variables. The first constraint is an equality constraint, which means that the left-hand side of the equation must equal the right-hand side. The second constraint is an inequality constraint, indicating that the value of the expression 2x1 + x2 must be less than or equal to a certain value.

To solve this linear programming problem, various optimization techniques such as the simplex method or interior point methods can be applied. These methods iteratively adjust the values of the decision variables to find the optimal solution that maximizes the objective function while satisfying the given constraints. By solving the primal problem, the values of x1, x2, and x3 can be determined, leading to the maximum value of the objective function z.

Learn more about expression  here

brainly.com/question/28170201

#SPJ11

Answer:

FC = V - N - (B/2)

Step-by-step explanation:

FC = formal charge

V =  number of valence electrons

N = number of nonbonding valence electrons

B = total number of electrons shared in bonds

The correct statement about coping strategies is: An effective coping strategy is any strategy that reduces stress.

The correct option is B .

Coping strategies are techniques or actions that individuals use to manage or deal with stressful situations. Different strategies work for different people, so there isn't a one-size-fits-all approach. However, an effective coping strategy is any strategy that successfully reduces or manages stress.

Some examples of effective coping strategies include deep breathing exercises, engaging in physical activity or exercise, seeking support from friends or family, practicing mindfulness or meditation, and engaging in hobbies or activities that bring joy and relaxation.

It's important to note that while ineffective coping strategies may not completely eliminate stress, they can still provide temporary relief or distraction. However, it is generally recommended to focus on developing and using effective coping strategies that can effectively reduce stress and promote overall well-being.

Know more about coping strategies,

https://brainly.com/question/30162811

#SPJ12

An effective coping strategy is any strategy that reduces stress.

The true statement about coping strategies is that an effective coping strategy is any strategy that reduces stress.

https://brainly.com/question/14370532

#SPJ12

Answer:

B) -7/4

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

Identify.

y = -7/4x + 4

Step 2: Break

Slope m = -7/4

y-intercept b = 4

Answer:i think its 115 degres

Step-by-step explanation:

Answer:

10.125 ft^2

Step-by-step explanation:

Our strategy will be to find the area of each shape, therefore finding the area of each rectangle and the triangle, and then adding all the areas together. So, for the leftmost rectangle, the area is 1.5 ft x 3 ft = 4.5 ft. For the bottom rectangle, the area is the same, due to it having the same side lengths. For the triangle, we can find the area using A = (1/2) x base x height. The base and height are both 1.5, due to them being sides of the two rectangles. Therefore, the area is 1.5 x 1.5 x (1/2) = 1.125. Then, to get the total area we have to add up the areas we've already calculated. Therefore 4.5 + 4.5 + 1.125 = 10.125 ft^2

The internal force in member DE is 2,400 lbs, and the internal force in member EH is 1,750 lbs.

In truss analysis, determining the internal forces in the members of a truss structure is crucial to understand its structural behavior. Given the provided values of 2,400 lbs and 1,750 lbs, we can identify the internal forces in members DE and EH, respectively.

Member DE:

The internal force in member DE is 2,400 lbs. This indicates that member DE is experiencing a tensile force of 2,400 lbs, meaning it is being stretched. The positive value indicates that the force is directed away from the joint at point D and towards the joint at point E.

Member EH:

The internal force in member EH is 1,750 lbs. This value represents a compressive force of 1,750 lbs, indicating that member EH is being compressed or pushed together. The negative sign denotes that the force is directed towards the joint at point E and away from the joint at point H.

By analyzing the internal forces in the truss members, we can assess the structural integrity of the truss and determine if the members are experiencing tension or compression. These calculations are vital in designing and evaluating the stability and load-bearing capacity of truss structures.

Learn more about Internal

brainly.com/question/31799903

#SPJ11

e2020 has 707 digits.

e is the mathematical constant known as the base of the natural logarithm, which means that the logarithm of any number to the base e is its natural logarithm. It is approximately equal to 2.71828, but its decimal representation goes on infinitely without repeating.

Calculating the number of digits in e2020 involves finding the number of decimal places that e extends past 2020. This is calculated using logarithms.

To find the number of digits in e2020, you can calculate 10^(number of decimal places past 2020) and determine the number of digits in the result.

This gives us 10^(707) = e2020, meaning that e2020 has 707 digits.

To learn more about digits , visit:

https://brainly.com/question/30142622#

#SPJ11

The rule of obtuse angle is that one angle measures more than 90° and total sum og angle should be 180°.

Acute, obtuse, right, straight, reflex, and complete rotation are some of the terms used to describe fundamental angles. Two rays are joined at their termini to form the geometric shape known as an angle. The most common way to express an angle is in degrees.

A measure of an angle or the amount of turning required to bring one line or plane into coincidence with or parallel to another angled is represented by two lines extending from the same point.

A triangle is said to have an obtuse angle if one of the inner angles is greater than 90 degrees. If one of the angles of an obtuse triangle is greater than 90°, then the total of the other two angles is also less than 90°.

To know more about Obtuse Angle visit:

https://brainly.com/question/1581660

#SPJ4

Answer:

-7

Step-by-step explanation:

x + 5 = -2

The error in finding the measure of one exterior angle of a regular polygon lies in using the formula 360°/n, where n is the number of sides of the polygon.

The formula 360°/n is used to find the measure of each exterior angle of a regular polygon. It is based on the idea that the sum of all exterior angles of any polygon is always 360 degrees. However, this formula assumes that the polygon has internal angles of 180°, which is true only for regular polygons.

The error occurs when this formula is applied to a non-regular polygon, as non-regular polygons have varying internal angles. Using the formula 360°/n for a non-regular polygon will give incorrect results because the internal angles are not all equal.

For regular polygons, each exterior angle is indeed 360°/n, and the sum of all exterior angles will be 360 degrees. However, for non-regular polygons, this formula cannot be used, and the measures of exterior angles must be calculated differently based on their internal angles and sides.

To know more about regular polygon, refer here:

https://brainly.com/question/29722724#

#SPJ11

The error in finding the measure of one exterior angle of a regular polygon is they divided 360 by 10 instead of 5.

Given that,

There are a total of 10 exterior angles, two at each vertex, so the measure of one exterior angle is 360°/10 = 36°.

Here, at each vertex there are two angles.

So, there must be 5 vertices and 5 sides.

Then, the measure of one exterior angle = 360°/5

= 72°

Therefore, the error in finding the measure of one exterior angle of a regular polygon is they divided 360 by 10 instead of 5.

Learn more about the sum of exterior angles of polygon here:

https://brainly.com/question/1983075.

#SPJ4

"Your question is incomplete, probably the complete question/missing part is:"

Describe and correct the error in finding the measure of one exterior angle of a regular polygon. There are a total of 10 exterior angles, two at each vertex, so the measure of one exterior angle is 360°/10 = 36°.

Answer:

option c this is no solution for the equations

Answer:

x=5 y=-8 the calc are in the photo

Answer:its either 59 or 490

Step-by-step explanation:

A random sampling method could be used to find the percentage of students in your grade who eat five servings of fruit and vegetables each day.

This method involves selecting a random sample of students from the entire population of your grade and surveying them about their eating habits.

In other word, its involves randomly selecting a subset of students from the entire grade population and collecting data on their eating habits. By selecting students at random, the sample is more likely to be representative of the entire grade. This cam provide accurate insights into the percentage of students meeting the desired dietary recommendation.

Read more about sampling

brainly.com/question/24466382

#SPJ1

Answer:

Step-by-step explanation:

3/5

4/6

5/7

51/150

2/3

The r-value ranges from -1 to +1, with -1 indicating a strong negative correlation. Therefore, the r-value closest to -1 represents the strongest negative correlation.

An r-value represents the strength and direction of a correlation between two variables. The strongest negative correlation occurs when the r-value is -1. In this case, as one variable increases, the other variable decreases consistently, showing a perfect negative linear relationship between the two variables.

The ability of a material to resist the flow of heat through it is gauged by the R-value , which is used in materials research and building construction. It measures the energy efficiency of insulation materials including fibreglass, foam board, and cellulose and is commonly represented in square metres kelvin per watt (m2K/W) units.

To know more about r-value Visit:

https://brainly.com/question/17512333

#SPJ11

If the password contains exactly 7 letters and letters cannot be used more than once, the number of possible passwords will be the number of ways to choose 7 letters out of the total 26 letters in the alphabet without repetition.

To find out the number of ways to choose 7 letters out of the total 26 letters in the alphabet, we will use the formula for combinations without repetition which is given as, C(n,r) = n! / (r!(n-r)!), where n is the total number of objects, r is the number of objects to be chosen from n and ! is the factorial.

Let's put the values, n = 26 and r = 7C(26,7) = 26! / (7!(26-7)!) = 26! / (7!19!) = (20*21*22*23*24*25*26) / (1*2*3*4*5*6*7)The above expression can be simplified as follows: (20*21*22*23*24*25*26) / (1*2*3*4*5*6*7) = 20*23*25*13 = 149500

Summary: There are 149500 possible passwords of 7 letters from a total of 26 letters if letters cannot be used more than once.

Learn more about combinations click here:

https://brainly.com/question/13604758

#SPJ11

Answer:

C. The late fee per day for the book

Step-by-step explanation:

“ The library charged a fixed rental for the book and a late fee for every day the book was overdue.”

Answer:

C

Step-by-step explanation:

the problem says there is a late fee for every day the book is overdue, 'x' represents the days, so multiplying the two together filling in 'x' would give you the total late fee amount.

The format options for basic question responses are as follows: a) two, five, ten; b) two, three, six; c) three, two, six; and d) two, two, four. These format options provide flexibility in constructing questions with varying numbers of response choices, allowing for different levels of complexity or variation in the questions asked.

The given format options represent variations in the number of choices or options for basic question responses. Let's break down each option:

a) Two, five, ten: This format implies that there are two possible choices or options in the question, followed by five options, and finally, ten options.

b) Two, three, six: This format suggests that the question has two choices or options, followed by three options, and finally, six options.

c) Three, two, six: This format indicates that the question has three choices or options, followed by two options, and finally, six options.

d) Two, two, four: This format suggests that there are two choices or options in the question, followed by two options, and finally, four options.

These format options provide flexibility in constructing questions with varying numbers of response choices, allowing for different levels of complexity or variation in the questions asked.

Learn more about variations here:

https://brainly.com/question/29773899

#SPJ11

Therefore, in a 2x2 table, the pattern of cell frequencies that would indicate independence is d. All cell frequencies are exactly the same.

In a 2x2 contingency table, the expected cell frequencies under the null hypothesis of independence are equal for all cells. If the observed cell frequencies in the table are approximately equal to the expected cell frequencies, then we can conclude that there is no significant association between the two variables being studied. In other words, the pattern of observed cell frequencies is consistent with the null hypothesis of independence. Therefore, if all cell frequencies are exactly the same, it suggests that the variables are independent, as each cell has an equal chance of being filled by any observation regardless of the value of the other variable.

To know more about cell frequencies,

https://brainly.com/question/30482788

#SPJ11

On solving the provided question we can say that from the graphs  y=e^-x+x => y = -3

Mathematicians use graphs to logically convey facts or values using visual representations or charts. A graph point will typically reflect a relationship between two or more things. Nodes, or vertices, and edges make form a graph, a non-linear data structure. Glue together the nodes, often referred to as vertices. This graph has vertices V=1, 2, 3, 5, and edges E=1, 2, 1, 3, 2, 4, and (2.5), (3.5). (4.5). Statistical charts (bar charts, pie charts, line charts, etc.) graphical representations of exponential growth. a logarithmic graph in the shape of a triangle

here,

from the graphs

y=e^-x+x

for(-3,6)

y = e^-3 -3

y = -3

To know more about graphs visit:

https://brainly.com/question/11950136

#SPJ1

Answer:

5000

Step-by-step explanation:

8,375,693.1

Keep the 5 in that position, and replace all other digits by zeros.

0,005,000.0

Now rewrite the number without the unnecessary zeros.

5,000

The 5 is in the thousands place, so it stands for 5000.

Answer:

5000

Step-by-step explanation:

Hope this helps! Please mark brainlest, if you don't mind.