If cost price of a product is Rs 55 and it was sold at 20% loss, what was the loss price

Answer:

The Y-intercept is -1

Step-by-step explanation:

M*thway is a pathway to many abilities some considered to be... unnatural

Statement (C) the y-intercept is y=-1 describes the graph of the function.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

\(\rm f(x) = \dfrac{x^2-1}{x^2-2x+1}\)

The above function is a rational function.

The denominator cannot be zero

x² - 2x + 1 ≠ 0

(x - 1)²≠ 1

x ≠ 1

To find y-intercept plug x = 0

f(0) = -1

Thus, statement (C) the y-intercept is y=-1 describes the graph of the function.

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one real eigenvalue. find this eigenvalue, its multiplicity, and the dimension of the corresponding eigenspace.

What is eigenvalue?

In linear algebra, an eigenvector or characteristic vector of a linear transformation is a nonzero vector that, when the linear transformation is applied to it, changes at most by a scalar factor. The factor by which the eigenvector is scaled is known as the associated eigenvalue, frequently denoted by lambda.

a) -4

b) 1

c) 1

Step-by-step explanation:

a) The matrix A is given by:

\(A=\left[\begin{array}{ccc}-3 & 0 & 1 \\2 & -4 & 2 \\-3 & -2 & 1\end{array}\right]\\\)

where lambda are the eigenvalues and I is the identity matrix. By replacing you obtain:

\(A-\lambda I=\left[\begin{array}{ccc}-3-\lambda & 0 & 1 \\2 & -4-\lambda & 2 \\-3 & -2 & 1-\lambda\end{array}\right]\)

and by taking the determinant:\(\begin{aligned}& {[(-3-\lambda)(-4-\lambda)(1-\lambda)+(0)(2)(-3)+(2)(-2)(1)]-[(1)(-4-\lambda)(-3)+(0)(2)(1-} \\& \lambda)+(2)(-2)(-3-\lambda)]=0 \\& -\lambda^3-6 \lambda^2-12 \lambda-16=0\end{aligned}\)

and the roots of this polynomial is:

\(\begin{aligned}& \lambda_1=-4 \\& \lambda_2=-1+i \sqrt{3} \\& \lambda_3=-1-i \sqrt{3}\end{aligned}\)

hence, the real eigenvalue of the matrix A is -4.

b) The multiplicity of the eigenvalue is 1.

c) The dimension of the eigenspace is 1 (because the multiplicity determines the dimension of the eigenspace)

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Complete Quetion

The matrix A= (−3 0 1, 2 −4 2, −3 −2 1) has one real eigenvalue. Find this eigenvalue, its multiplicity, and the dimension of the corresponding eigenspace. The eigen value = has multiplicity = and the dimension of the corresponding eigenspace is:_______.

When -46 decreased by the difference between -23 and -61, the number becomes -18.

Subtraction is the mathematical operation that is used to determine the difference between two or more numbers. The sign that is used to represent subtraction is -.

According to mathematical rules, when two negative signs are multiplied by each other, the number becomes positive.

The difference between -23 and -61: -61 - (-23)

-61 + 23 = -38

-46 - (-38)

-46 + 28 = -18

Here is the complete question:

-46 decreased by the difference between -23 and -61. What is the value of the number?

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Answer:

1/5 = q/p, or q:p

Step-by-step explanation:

You might want to rewrite 1/2p=2 1/2q as (1/2)p = (2 1/2)q.  

To remove the fractions, multiply both sides by 2:

p = 2(2 1/2)q  becomes p = 5q.

Dividing both sides by 5 yields p/5 = q.

Dividing both sides by p yields 1/5 = q/p, or q:p

Answer: y>3

Step-by-step explanation:where the line crosses the y axis is your answer

the probability that the sample mean would be less than 37.5 dollars if a sample of 142 5-gallon pails is randomly selected is 0.9946

P ( x < 37.5 )

= P ( z < 37.5 - 36/( 7 / sqrt( 142 ) )

= P ( z < 2.55 )

= 0.9946

chance is the department of arithmetic concerning numerical descriptions of the way likely an occasion is to arise, or how probably it's miles that a proposition is actual. The opportunity of an occasion is a number of among 0 and 1, where, roughly speaking, 0 shows impossibility of the event and 1 suggests actuality. The higher the possibility of an occasion, the more likely it's far that the event will arise. An easy instance is the tossing of a fair (unbiased) coin.

because the coin is honest, the 2 effects ("heads" and "tails") are both equally probably; the probability of "heads" equals the possibility of "tails"; and when you consider that no other outcomes are possible, the opportunity of either "heads" or "tails" is half of (which could additionally be written as 0.five or 50%).

those ideas have been given an axiomatic mathematical formalization in chance concept, that's used broadly in areas of have a look at inclusive of records, arithmetic, science, finance, playing, synthetic intelligence, gadget getting to know, computer technological know-how, sport principle, and philosophy to, for example, draw inferences approximately the expected frequency of activities. chance theory is also used to describe the underlying mechanics and regularities of complex systems.

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The solutions within the interval [0, 360) degrees are 120 degrees and 240 degrees.

To solve the equation 9sec²(theta) tan(theta) = 12tan(theta) for the interval [0, 360) degrees, we'll use algebraic methods to simplify the equation and find the solutions.

Step 1: Simplify the equation:

Start by dividing both sides of the equation by tan(theta):

9sec²(theta) = 12

Step 2: Convert secant to cosine:

Recall that sec(theta) is the reciprocal of cosine(theta). Rewrite the equation using the reciprocal identity:

9(1/cos²(theta)) = 12

Step 3: Eliminate the fraction:

Multiply both sides of the equation by cos²(theta) to eliminate the fraction:

9 = 12cos²(theta)

Step 4: Rearrange the equation:

Move all the terms to one side to get a quadratic equation:

12cos²(theta) - 9 = 0

Step 5: Factor or use the quadratic formula:

The equation is quadratic in form. We can factor or use the quadratic formula to solve it. Let's factor it:

(2cos(theta) - 3)(6cos(theta) + 3) = 0

Now set each factor equal to zero:

2cos(theta) - 3 = 0

cos(theta) = 3/2

6cos(theta) + 3 = 0

cos(theta) = -1/2

Step 6: Find the angle values:

Now we need to find the angles that correspond to cos(theta) = -1/2 within the given interval [0, 360) degrees. To do this, we can use the unit circle or trigonometric ratios.

From the unit circle or trigonometric ratios, we know that cos(theta) = -1/2 has two solutions:

theta = 120 degrees (cos(120) = -1/2)

theta = 240 degrees (cos(240) = -1/2)

Step 7: Final solution set:

Therefore, the solution set for the given equation is {120, 240}.

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Answer:

Step-by-step explanation:

17. Rotation

18. Always

19. 4

20.

21. Acute triangle/ Isosceles triangle. All angels are acute and there are none of the sides are equal.

22. The transformation was a reflection. I know this because all the colors flipped, but everything else is the same.

Answer:

17. rotation

18. never

19. 4

20. The third one

21. It is an acute ASA triangle because all of the angles are less then 90 degree and since you are given the sides as well, it is ASA.

22. A rotation was used, because the colors are rotated 90 degrees, even though the shape itself stays the same.

Step-by-step explanation:

Answer:

the question was not correctly solved

Step-by-step explanation:

A=½bh

23=½*b*h

²/1×23= bh

²/1×23=6h

46=6h

h=7.666666667 / h=23/3

I hope this is helpful

Answer:

-8

Step-by-step explanation:

-2*(x+5)=6

Divide both sides by -2

x+5=-3

x=-3-5

x=-8

The required solution to the given inequality is x > - 5.5 which means x is greater than -5.5.

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

The statement is given as "twice x is greater than -11"

This can be in the algebraic form written as :

2x > - 11

Divided both sides of the above inequality, we get

x > - 11/2

x > - 5.5

Thus, the required solution to the given inequality is x > - 5.5.

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The question seems incomplete, the complete question would be as:

What is the solution to the inequality that represents twice x is greater than -11?

According to the question, the given parameters of a triangle Δ IJK is given below:

j = 960 inches, i = 200 inches and ∠I = 68 degree.

As we know, the sum of the angle of a triangle is 180 degree.

Therefore, ∠I + ∠J + ∠K = 180 degree

Substituting above values in the given expression, we get:

∠J + ∠K = 180 - 68 = 112 degree

For isosceles triangle, two sides are equal. Therefore, ∠J = 56 degree

Hence, the calculated value for the ∠J is 56 degree.

What is triangle?

In the geometry of mathematics, the triangle can be defined as a polygon shape which has three edges as well as three vertices. There are three different forms of triangle which are known as scalene, isosceles and equilateral triangle.

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A bucket of water weighing 9lbs is leaking at a rate of 255lbs/ft. Wendy, standing on top of an 24 foot house wants to lift the bucket of water from the ground to a point halfway up the house. Let y=0 represent the ground.

To find: The work required to lift the bucket of water to the point halfway up the house. Solution: The work done in lifting an object to a height is given by:

work = force × distance moved in direction of force Initially, the bucket contains 9 lbs of water and its rate of leaking is 0.255lbs/ft. Let the height of the bucket when Wendy starts lifting it be h ft above the ground level. Now, the total weight of the bucket and the remaining water in it is (9 - 0.255h) lbs, as Wendy wants to lift the bucket halfway up the house, then the bucket is lifted to a height of (24 + h)/2 ft above the ground level.

The work required to lift the bucket of water to the point halfway up the house is given by:

work = force × distance moved in direction of force

work = (9 - 0.255h) × ((24 + h)/2 - h)

work = (9 - 0.255h) × (24/2 - h/2)

work = (9 - 0.255h) × (12 - h/2)

work = 108 - 6h - 0.255h²/2 (On expanding the above expression)

Hence, the required work is given by the expression 108 - 6h - 0.255h²/2.∫ (9 - 0.255h) d(h) + ∫ 0 d(h/2)

= (9h - 0.1275h²/2)∣(0, h) + 0∣(0, h/2)

= (9h - 0.1275h²/2) + 0

= 9h - 0.1275h²/2

The integral(s) required to find the work required to lift the bucket of water to the point halfway up the house are given by: ∫ (9 - 0.255h) d(h) + ∫ 0 d(h/2)

= (9h - 0.1275h²/2)∣(0, h) + 0∣(0, h/2)

= 9h - 0.1275h²/2

Hence, the required work is given by the expression 9h - 0.1275h²/2.

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Answer:

Step-by-step explanation:

30% is the likelihood of picking a purple marble because 20% of 25 is 5 and 50% of 25 is 12.5 which leaves 7.5 marbles left (purple) and 7.5/25 = .30 which you multiply by 100 to get a percentage of 30

you are less likely to pick a purple marble than a green marble, but you have the least chance of picking a yellow marble

Answer:

43/36 or 1 7/36

Step-by-step explanation:

Answer:

  b.  Experiment

Step-by-step explanation:

Setting up conditions so that you can examine the outcome is called an "experiment."

Answer:

\(\fbox{\begin{minipage}{10em}Option B-Experiment\end{minipage}}\)

Step-by-step explanation:

As described, the food scientist performs the research based on the actual data, without using a computer or any simulation devices.

=> The data source is not generated from a computer simulation.

=> Option A-Simulation is incorrect.

The food scientist intentionally prepares the research by conducting an experiment, in which 100 badges are used, 50 badges following the old recipe and 50 badges with extra lemon juice.

=> This is not a subjective process, but a purposely attempting to observe the amount of lemon juice in a specific manner.

=> This is not a survey.

=> Option C-Survey is incorrect.

=> Option B-Experiment is correct.

Hope this helps!

:)

Answer:i think its 115 degres

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

The population after x years will be P = 29000 + 700x

Let the population after the years be represented by P

Population of the town in 2003 = 29000

Annual increase in growth = 700

Then, the population after x years will be:

P = 29000 + 700(x)

P = 29000 + 700x

Therefore, the population will be P = 29000 + 700x.

Answer:

m<EBD = 130 degrees

Step-by-step explanation:

We can say that Line EC is bisected by Line AD at point B.  The angle CBD = 50 degrees is a supplement of the bisected line EC.  With this in mind we can say:

EBD + CBD = 180

And we can solve for EBD:

EBD + CBD = 180

EBD + 50 = 180

EBD = 130

So the measure of angle EBD is 130 degrees.

Cheers.

Answer:

130°

Step-by-step explanation:

You need the remaining angle. 50° and the missing angle make up 180°. Therefore, you need to subtract 50 from 180. 180 - 50 = 130. Hence, the missing angle is 130°.

I hope it's ok if I used your photo!

Answer:

1. product 2. difference 3. quotient 4. sum 5. dividend

Convenience purchase: Coca-Cola. Shopping purchase: Apple iPhone. Specialty purchase: Rolex. These brand name products correspond to their respective purchase types based on convenience, shopping involvement, and specialty appeal in the consumer marketplace.

Convenience purchases refer to low-involvement purchases made by consumers for everyday items that are readily available and require minimal effort to obtain. These purchases are typically driven by convenience and habit rather than extensive consideration or brand loyalty.

Shopping purchases involve higher involvement and more deliberate decision-making. Consumers invest time and effort in comparing options, seeking the best value or quality, and may consider multiple brands before making a purchase. These purchases often involve durable goods or products that require more consideration.

Specialty purchases are distinct and unique purchases that cater to specific interests, preferences, or hobbies. These purchases are driven by passion, expertise, and a desire for premium or specialized products. Consumers are often willing to invest more in these purchases due to their unique features, quality, or exclusivity.

Three specific brand name products in the consumer marketplace that correspond to these types of purchases are

Convenience Purchase: Coca-Cola (Soft Drink)

Coca-Cola is a widely recognized brand in the beverage industry. It is readily available in various sizes and formats, making it a convenient choice for consumers seeking a refreshing drink on the go.

With its widespread availability and strong brand presence, consumers often make convenience purchases of Coca-Cola without much thought or consideration.

Shopping Purchase: Apple iPhone (Smartphone)

The Apple iPhone is a popular choice for consumers when it comes to shopping purchases. People invest time researching and comparing features, pricing, and user reviews before making a decision.

The shopping process involves considering various smartphone brands and models to ensure they select a product that meets their specific needs and preferences.

Specialty Purchase: Rolex (Luxury Watches)

Rolex is a well-known brand in the luxury watch industry and represents specialty purchases. These watches are associated with high-quality craftsmanship, precision, and exclusivity.

Consumers who are passionate about luxury watches and seek a premium product often consider Rolex due to its reputation, heritage, and unique features. The decision to purchase a Rolex involves a significant investment and is driven by the desire for a prestigious timepiece.

These examples illustrate how different types of purchases align with specific brand name products in the consumer marketplace, ranging from convenience-driven choices to more involved shopping decisions and specialty purchases driven by passion and exclusivity.

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z_1 and z_2 are complex number;

i) z₁z₂ = 8(cos(7π/12) + isin(7π/12))

ii) z₁/z₂ = 2(cos(π/12) + isin(π/12))

To calculate z₁z₂ and z₁/z₂, we need to perform the complex number operations on z₁ and z₂. Let's break down the calculations step by step:

i) To find z₁z₂, we multiply the magnitudes and add the angles:

z₁z₂ = 4cos(cos(π/4) + isin(π/4)) * 2cos(2π/3) + isin(2π/3))

= 8cos((cos(π/4) + 2π/3) + isin((π/4) + 2π/3))

= 8cos(7π/12) + isin(7π/12)

ii) To find z₁/z₂, we divide the magnitudes and subtract the angles:

z₁/z₂ = (4cos(cos(π/4) + isin(π/4))) / (2cos(2π/3) + isin(2π/3))

= (4cos((cos(π/4) - 2π/3) + isin((π/4) - 2π/3))) / 2

= 2cos(π/12) + isin(π/12)

i) z₁z₂ = 8(cos(7π/12) + isin(7π/12))

ii) z₁/z₂ = 2(cos(π/12) + isin(π/12))

Please note that the given calculations are based on the provided complex numbers and their angles.

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Answer:

-4/5

Step-by-step explanation:

2/5 ÷ -1/2

Copy dot flip

2/5 * -2/1

-4/5

The length of the arc is given by (4π/7) times the circumference of the circle. Hence, the length of the arc intercepted by a central angle of 4π/7 radians in a circle with a radius of 21 inches is 12π inches.

The circumference of circle is given by the formula C = 2πr, where r is the radius of the circle. In this case, the radius is 21 inches. Therefore, the circumference of the circle is C = 2π(21) = 42π inches.

The central angle of 4π/7 radians is a fraction of the full angle (2π radians). The ratio between the central angle and the full angle is (4π/7)/(2π) = 2/7.

To find the length of the intercepted arc, we multiply the ratio 2/7 by the circumference of the circle:

Length of arc = (2/7) * (42π) = 12π inches.

Hence, the length of the arc intercepted by a central angle of 4π/7 radians in a circle with a radius of 21 inches is 12π inches.

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We need to know the total earnings and total expenses for the day. Without this information, we cannot accurately determine Leo's profit. If you can provide additional details or the complete notebook entries, I would be happy to assist you in calculating the profit.

To determine Leo's profit for the first day, we need more information than what is provided in the question. The notebook shows the money earned and spent, but the given information stops at "10," without specifying whether it represents money earned or money spent. Additionally, we don't have any other earnings or expenses mentioned in the question.

To calculate the profit, we need to know the total earnings and total expenses for the day. Without this information, we cannot accurately determine Leo's profit. If you can provide additional details or the complete notebook entries, I would be happy to assist you in calculating the profit.

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Answer: See below

Step-by-step explanation:

Since a > 0, the vertex is the minimum point and the parabola opens upward.

The value makes the graph "skinny or fat." In this case, 2 stretches the function by a factor of 2

The MPC for a country will likely be measured as less than 1.0. In economics, plotting data  the MPC refers to the marginal propensity to consume.

It's a metric used to assess the impact of a change in income on consumer spending.The MPC for a country is a measure of the fraction of each extra dollar earned that is spent on goods and services. The marginal propensity to consume is less than one. It means that for each extra dollar earned, the consumer would not spend the entire amount. This is because as a person's income rises, the percentage of it spent on basic needs decreases.

For instance, if a person's income rises from $50,000 to $55,000 per year, the individual may be able to meet their basic needs. This would imply that they may spend less of each additional dollar earned.The MPC is calculated as the change in consumption divided by the change in income. If, for example, income rises by $100 and consumption rises by $80, the MPC would be 0.8 (80/100). This suggests that the propensity to spend is less than one.

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