Find the sum of5x^2-3x+2 and 3x^2-4x-1

A student's probability of having a sister are 1/2 or 0.5 if they do not have a brother.

Using the above data table, we must determine the likelihood that a student without a brother also has a sister. Analysing the table now

has a sibling: 5

possesses no sisters: 2

has an 18-year-old brother

possesses no brothers: 4

We are looking for the likelihood that a student has a sister and neither a brother (as indicated by the statement "Does not have a brother"). In this instance, there are two children who do not have a brother but do have a sister, making that number the number of positive outcomes.

No matter whether a student has a sister or not, the total number of outcomes is equal to the number of students who do not have a brother. According to the table, there are 4 students without brothers.

As a result, the likelihood that a student who doesn't have a brother will have a sister can be determined as follows:

Probability is calculated as the ratio of the number of favourable outcomes to all possible outcomes.

Probability equals 2/4

Probability equals 0.5 or half.

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The transformed value propositions archetype and transformation via new value propositions archetype are two different approaches to organizational transformation.

Differentiation between the transformed value propositions archetype and transformation via new value propositions archetypeThe transformed value propositions archetype includes transformation of the existing value proposition to the customers. Companies using this approach modify their existing products and services.

The transformation via new value propositions archetype focuses on introducing new products and services in the market.The transformed value propositions archetype is more common among the existing organizations. They change the way they deliver value to customers. This transformation is done to increase efficiency and effectiveness, reduce costs, and improve performance.Two case studies that demonstrate the transformed value propositions archetype are:Netflix: Netflix is an American technology and media-services provider and production company.

Netflix started with DVDs by mail, but it changed its value proposition by launching an online streaming service. Netflix is now among the largest streaming services in the world.Tesla: Tesla is a multinational electric car manufacturing company. Tesla transformed the automotive industry by introducing electric cars with self-driving capabilities. Tesla's electric cars and self-driving features are its unique selling points. Tesla's self-driving technology aims to revolutionize transportation and transform the way people commute.Two case studies that demonstrate transformation via new value propositions archetype are:

Airbnb: Airbnb is an American online marketplace that offers lodging and homestays for vacation rentals, tourism activities, and home sharing. Airbnb transformed the lodging industry by introducing peer-to-peer lodging rentals. It changed the way people travel and stay in other countries. Airbnb provided travelers with an affordable and unique experience, which was not available in hotels.

Uber: Uber is an American multinational transportation network company. Uber transformed the taxi industry by introducing a ride-sharing service. It changed the way people commute.

Uber provides a flexible and affordable option for travelers and commuters that was not available in traditional taxis or public transport systems.

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The value of X = 25.

Solution:

The two equations are

(i) the first condition is difference of x and y is 14

x - y = 14 ---------equation 1

(ii) the second condition of the given data is value of x is 3 times more than two times of y value.

x - 2y = 3 --------equation 2

From equation 2, we have to separate two variables x and y,

x = 3 + 2y  --------equation 3

We have to Substitute equation 3 in equation 1

3 + 2y - y = 14

3 + y = 14

y = 14 - 3

y = 11

Substitute y = 11 in equation 1........

x - 11 = 14

x = 14 + 11

x = 25

So, the value of x is 25 and y is 11.

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Answer:

Step-by-step explanation:

Given the difference of x and y is 14, and the difference of x and 2y is 3, you want two equations, their graph, and the value of x.

The difference of 'a' and 'b' is (a -b). Here, the two differences are expressed as the equations ...

The attachment shows a graph of these equations. Their point of intersection is (25, 11), meaning the value of x is 25.

The graph of the first equation is easily drawn by recognizing the x- and y-intercepts are 14 and -14, respectively.

The graph of the second equation will go through the x-intercept point of (3, 0) and the y-intercept point of (0, -3/2). It is probably easier to graph this by hand by considering the x-intercept point and the slope of 1/2.

Since we're only interested in the value of x, it is convenient to eliminate the variable y. We can to that by subtracting the second equation from twice the first:

  2(x -y) -(x -2y) = 2(14) -(3)

  x = 25 . . . . . . . . . simplify

Explanation:

The 0.5+8 simplifies to 8.5

It might help to think of 8 as 8.0

So,

y(0.5+8)

y(8.5)

8.5y

Or you could say it like this

y(0.5+8)

0.5y+8y

8.5y

the second step results from the distributive property.

Answer:

1/4

Step-by-step explanation:

Use the slope formula to find the slope.

slope = (y2-y1)/(x2-x1)

slope = -1 - -2 / -2- -6

= 1/4

Answer: apply the distributive property to factor out the greatest cmoon factor of alll three terms

Step-by-step explanation: apply the distributive property to factor out the greatest cmoon factor of alll three terms

Answer:

True

Step-by-step explanation:

For the sequence to be arithmetic there must be a common difference d between consecutive terms.

a₂ - a₁ = - 6 - 3 = - 9

a₃ - a₂ = - 15 - (- 6) = - 15 + 6 = - 9

a₄ - a₃ = - 24 - (- 15) = - 24 + 15 = - 9

There is a common diffence between consecutive terms, thus the sequence is arithmetic.

Writing linear equations given two points can be a useful skill when graphing linear equations.

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Therefore, the cost of seeding a rectangular lawn 100 ft by 70 ft with the given information is $177.

Area is a measure of the size of a two-dimensional surface or region. It is typically expressed in square units, such as square meters, square feet, or square centimeters. For example, the area of a rectangle can be found by multiplying its length by its width, while the area of a circle can be found by multiplying pi (approximately 3.14159) by the square of its radius. Area is an important concept in many fields, including mathematics, physics, engineering, geography, and architecture.

by the question.

First, we need to calculate the total area of the lawn:

\(Area = length x width\)

\(Area = 100 ft x 70 ft\)

\(Area = 7,000 sq ft\)

Next, we need to determine how many pounds of seed we will need:

\(Seed needed = Area/ Coverage per pound of seed\)

\(Seed needed = 7,000 sq ft /350 sq ft/pound\)

\(Seed needed = 20 pounds\)

Finally, we can calculate the cost of the seed:

\(Cost of seed = Seed needed * Cost per pound of seed\)

\(Cost of seed = 20 pounds* $8.85/pound\)

\(Cost of seed = $177\)

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Answer:

Step-by-step explanation:

calculate the miles with the distance

Answer:



To find the indirect utility function, we need to solve the utility maximization problem subject to the budget constraint and express the maximum utility achieved as a function of the prices and income.

Given the utility function U = max(X, Y) and the budget constraint P₁X + P₂Y = M, we can solve for X and Y in terms of prices (P₁, P₂) and income (M).

First, let's consider the different cases:

If P₁ ≤ P₂:

In this case, the individual would choose to consume only good X. Therefore, X = M / P₁ and Y = 0.

If P₂ < P₁:

In this case, the individual would choose to consume only good Y. Therefore, X = 0 and Y = M / P₂.

Now, we can express the indirect utility function in terms of the prices (P₁, P₂) and income (M) for each case:

a) If P₁ ≤ P₂:

In this case, the individual maximizes utility by consuming only good X.

Therefore, the indirect utility function is V(P₁, P₂, M) = U(X, Y) = U(M / P₁, 0) = M / P₁.

b) If P₂ < P₁:

In this case, the individual maximizes utility by consuming only good Y.

Therefore, the indirect utility function is V(P₁, P₂, M) = U(X, Y) = U(0, M / P₂) = M / P₂.

c) and d) do not match any of the cases above.

Therefore, among the given options, the correct answer is:

a) M / max(P₁, P₂).

Given our current rail fare of £16.25, we are looking for the price of the rail fare after a 5% increase.

To find the value of a 5% increase, we can multiply the rail fare by 1.05 since it is 5% added to the total value.

Or, we can multiply the rail fare by 5 and then divide by 100 to get how much will be added onto it.

Let's do both of them:

Increase: 5%

Equation: 1.05 x 16.25

1.05 x 16.25 = 17.06 rounded to the nearest cent

Rail Fare after 5% increase:  £17.06

Increase: 5%

Equation: (5 x 16.25)/100

81.25/100 = .81 rounded to nearest cent

Then, we add them together.

16.25 + 81 = 17.06

Rail Fare after 5% increase:  £17.06

Answer:

after 10 months farm a and b have the same amount of animals

Step-by-step explanation:

hope this helps :)

Answer:

This can't be answered as the data of Tom and Susan's box plots aren't shown.

The series converges because the limit of the ratio test is < 1.

To determine if the series is convergent or divergent using the ratio test, you first need to identify a_k, which is the general term of the series. In this case, a_k = 6k \(e^-^k\) . Then, evaluate the limit lim (k→∞) (a_(k+1) / a_k). If the limit is < 1, the series converges; if it's > 1, it diverges.

We have a_k = 6k \(e^-^k\). Apply the ratio test by finding lim (k→∞) (a_(k+1) / a_k) = lim (k→∞) [(6(k+1)\(e^-^(^k^+^1^)\)))/(6k \(e^-^k\))]. Simplify to get lim (k→∞) ((k+1)/k * e⁻¹). As k approaches infinity, the ratio approaches e⁻¹, which is < 1. Therefore, the series converges.

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"From a table of integrals, we know that for \(\(a \neq 0\)\) and \(\(b \neq 0\):\)

\(\[\int \cos(at) \, dt = \frac{1}{a} \cdot \cos(at) + \frac{1}{b} \cdot \sin(bt) + C\]\)

and

\(\[\int e^a t \cos(bt) \, dt = \frac{e^{at}}{a} \cdot \cos(bt) + \frac{b}{a^2 + b^2} \cdot \sin(bt) + C\]\)

Use this antiderivative to compute the following improper integral:

\(\[\int_{-\infty}^{0} \cos(3t) \, dt = \lim_{{T \to \infty}} \int_{0}^{T} e^t \cos(3t) \, e^{-st} \, dt = \lim_{{T \to \infty}} \text{ if } s \neq 1, \, \text{ or } \lim_{{T \to \infty}} \text{ if } s = 1.\]\)

For which values of \(\(s\)\) do the limits above exist? In other words, what is the domain of the Laplace transform of \(\(\frac{1}{\cos(3)} \cdot e^t \cos(3t)\)\)?

Evaluate the existing limit to compute the Laplace transform of  on the domain you determined in the previous part:

\(\[L\{e^t \cos(3t)\\).

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False. Solving a system of linear equations requires solving for multiple variables.

To solve for a single variable, you would only need to solve one equation.

To solve a system of linear equations, you need to use methods such as elimination, substitution, or graphing. For example, consider the system of equations:

3x + y = 7

2x - y = 4

To solve this system, you could use elimination by adding the equations together. This would give you the equation 5x = 11. To solve for x, you would then divide both sides by 5, giving you x = 11/5.

Once you have solved for x, you can substitute this value into either of the original equations to solve for y. In this example, substituting 11/5 for x into the first equation would give you 3(11/5) + y = 7. Simplifying this equation gives you y = -2/5.

Therefore, the solution to this system of linear equations is x = 11/5 and y = -2/5.

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The probability of one of three students being accepted to a program while the other two are not accepted is 3.2%, or 1.5:1, which is equivalent to a 66.7% chance.

The probability of one of three students being accepted to a program while the other two are not accepted can be calculated by dividing the total number of favorable outcomes by the total number of possible outcomes.

To calculate this, we need to know the probability of each individual student being accepted. For example, if the probability of each student being accepted is 0.2, the probability of one student being accepted while the other two are not would be (0.2)x(1-0.2)x(1-0.2), or 0.032. This would be written as a 3.2% chance.

The probability of one student being accepted while the other two are not can also be calculated using a permutation formula. The formula for this is

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

where n is the total number of students and r is the number of students accepted.

In this case, n = 3 and r = 1. So, P(3,1) = 3!/2! = 3/2 = 1.5.

This means that there is a 1.5:1 ratio of one student being accepted while the other two are not. This is equal to a 66.7% chance.

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Answer:

can you add a pic please so I can help u

Step-by-step explanation:

Answer:

Step-by-step explanation:

y 1 = StartFraction log x Over log 0.5 EndFraction, y 2 = StartFraction log 2 Over log 3 EndFraction + x

The number of moves required to solve the relaxed problem is always less than or equal to the number of moves required to solve the original Towers of Hanoi problem.

Towers of Hanoi is a problem in computer science that involves moving a stack of disks from one peg to another. The stack has a hole through which pegs are placed, and the disks are placed in a series of concentric circles with the largest at the bottom and the smallest at the top.

The problem's objective is to move the stack to another peg without moving more than one disk at a time and without putting a larger disk on top of a smaller one.

The number of moves required to solve the relaxed problem is always less than or equal to the number of moves required to solve the original Towers of Hanoi problem. The relaxed problem is a version of the original problem with a few restrictions removed. This means that the original problem can be solved by solving the relaxed problem and then adding back the restrictions that were removed.

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Answer:

15 p - 3 is the answer....

Answer:

c. (1,-1)

Step-by-step explanation:

5x + 2y = 3  4x – 8y = 12  Solve for (x, y)

4x-8y=12

+8y          +8y

4x=12+8y

Divide both sides by 4

4x/4=(12+8y)/4

x=3+2y

Then take x equation and input into 5x + 2y = 3

5(3+2y)+2y=3

15+10y+2y=3

Add 10y and 2y

15+12y=3

Subtract 15 on both sides

15-15+12y=3-15

12y=-12

Divide 12 both sides

12y÷12=-12÷12

Y = -1

Insert the Y equation into 4x – 8y = 12  

4x-8(-1)=12

4x+8=12

Subtract 8 on both sides

4x-8-8=12-8

4x=4

Divide 4 both sides

4x÷4=4÷4

X = 1

Answer: C. (1, -1)

The expression which is equivalent to (2³)^-5 is; 1/(2)^15.

By the law of indices, it follows that exponents as that given in the task content can be evaluated as follows;

(2³)^-5

= (2) ^(3×-5)

= 2 ^(-15)

Hence, the expression can be rewritten as; 1/(2)^15.

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Answer:

a

Step-by-step explanation:

i did the test

send a picture pls so I can help you

Answer:

what are you asking?

Step-by-step explanation:

Answer:

Toyota like my mom hajaha

Either a Ford like my dad or a Audi like my aunt lol

Answer:

231

Step-by-step explanation:

first of all it must be a cuboid bcoz a cube's edge is same i.e length =breadth= height.

now volume of cuboid =lbh

11/2×21/2×4

=231

ans....

Answer:

15 inches

Step-by-step explanation:

V = lwh

V = \(\frac{3}{2}\) · \(\frac{5}{2}\) · \(\frac{4}{1}\) = \(\frac{60}{4}\) = 15