A backpack is normally $64.99 but is discounted ti $45.49. What percent of the original does Maria pay?

Answer: 12,000n

Step-by-step explanation:

Jane want to save $12,000 every year.

Assuming there are n number of years, she would have saved:

= 12,000 * n

That therefore, is the total amount she would have given a certain number of years.

For instance, in 10 years she would have:

= 12,000 * n

= 12,000 * 10

= $120,000

The solution to the equation is (a) x = ln(7/5) - 2

From the question, we have the following parameters that can be used in our computation:

4 + 5e^(x + 2) = 11

Evaluate the like terms in the equation

So, we have the following representation

5e^(x + 2) = 7

Divide through the equation by 5

This gives

e^(x + 2) = 7/5

Take the natural logarithm of both sides

x + 2 = ln(7/5)

So, we have

x = ln(7/5) - 2

Hence, the solution is x = ln(7/5) - 2

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Answer:87

Step-by-step explanation:

43+x+15=3x

58+x=3x

58=2x

x=29

Answer:

4!

Step-by-step explanation:

using the slope formula and the points (-1, 0) and (-2, -4) on the line:

-4 - 0 / -2 - -1 = -4 - 0 / -2 + 1 = -4 / -1, and since both the top and bottom are negative, they make a positive, giving you a positive 4

the slope formula is rise/run, or y2 - y1 / x2 - x1!

Answer:

Step-by-step explanation:a,b

It will take Mthwetew and Andy 1.875 days to build the block wall if they work together.

Hello! I understand that you'd like to know how long it will take Mthwetew and Andy to build a block wall if they work together. To answer this question, we will use the concept of work rates.
Mthwetew can build a wall in 3 days. This means Mthwetew's work rate is 1/3 (wall/day).
Andy can build the same wall in 5 days. This means Andy's work rate is 1/5 (wall/day).
To find out how long it will take them to build the wall together, we will add their work rates and solve for the time it would take them to complete the task.
Combined work rate: (1/3) + (1/5)
To add these fractions, find a common denominator, which in this case is 15.
(1/3) * (5/5) = 5/15
(1/5) * (3/3) = 3/15
Now, add the numerators:
5/15 + 3/15 = 8/15 (wall/day)
Their combined work rate is 8/15 (wall/day). To find out how long it takes them to build the wall together, we need to calculate the reciprocal of their combined work rate:
15/8 = 1.875 days
So, it will take Mthwetew and Andy 1.875 days to build the block wall if they work together.

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A 98% confidence interval estimate of the mean wake time for a population with zopiclone treatments is 74.26 to 125.54.

What is a confidence interval?

A confidence interval (CI) is a range of values that, with a particular level of certainty, is likely to encompass a population value. A population mean that sits between an upper and lower interval is frequently stated as a percentage.

Here,

From the standard normal table, the z-critical value at 98% confidence interval is 2.33 so,

98%C.I. = µ ± z * σ /   n = 98.90 ± 2.33 * 42.30 / sqrt of 16  = 98.90 ± 24.64 = 74.26 to 125.54

The mean wake time of 102.80 minutes before the treatment due to the mean wake time of 102.80 minutes included in the 98% confidence interval which is between 74.26 and 125.54. Zopiclone does not appear effective.

Hence, A 98% confidence interval estimate of the mean wake time for a population with zopiclone treatments is 74.26 to 125.54.

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Step-by-step explanation:

\(\pink{\large{\underline{\underline{\sf Given:-}}}}\)

\(\pink{\large{\underline{\underline{\sf To \: find:-}}}}\)

\(\pink{\large{\underline{\underline{\sf Solution:-}}}}\)

We know that,

\(\underline{\boxed{\sf (Radius)^2= (Slant height)^2-(height)^2}}\)

\( \sf (Radius)^2 = (16)^2-(12)^2\)

\( \sf (Radius)^2 = 256-144=112\)

\( \longmapsto \sf Radius = \sqrt{112}≈10.6\:cm\)

Answer:

3520

Step-by-step explanation:

hope it helps

The area of the given square pyramid is:

total area = 1,100 inches squared.

On the second image, we can see that the pyramid is conformed of a square base and 3 triangles.

To get the surface area of the pyramid, we can just get the area of each of these simpler parts.

The base is a square of 22 in by 22 in, then the area of the base is:

B = (22in)*(22 in)  = 484 in^2

For each triangle, the area will be:

A = (base side)*(height)/2

A = (22in)*(14in)/2 = 154 in^2

And we have 4 of these triangles, then the total area of the pyramid will be:

total area = B + 4*A = 484in^2 + 4*(154 in^2) = 1,100 in^2

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Answer:

u < 25.

Step-by-step explanation:

u - 2 < 23

Add 2 to both sides:-

u  - 2 + 2 < 23 + 2

u < 23 + 2

u < 25.

Answer:

23+2>u

25>u

(25,-∞)

this is the answer

Answer:

-5/4

Step-by-step explanation:

Pick two points on the line

(-4,0) and (0,-5)

We can use the slope formula

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

   = ( -5 -0)/(0 - -4)

    = (-5-0)/(0+4)

    = -5/4

Answer: -5/4

Step-by-step explanation:

Pick two points on the line

(-4,0) and (0,-5)

We can use the slope formula

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

  = ( -5 -0)/(0 - -4)

   = (-5-0)/(0+4)

   = -5/4

- Chilio

Answer:

The answer simplified is \(\frac{1}{2}\)

Step-by-step explanation:

Answer:

This is the answer: \(\frac{1}{2}\)

Step-by-step explanation:

Managers, goods, services, and technology are all needed in developing countries, and therefore, they provide new markets for companies that can supply these essentials.

Developing countries often have growing economies and increasing consumer demands. As these countries strive for development and improvement, they require effective management to drive their businesses and organizations. Managers play a crucial role in overseeing operations, implementing strategies, and maximizing efficiency.

Additionally, developing countries require goods and services to meet the needs of their populations. This includes basic necessities such as food, clothing, and shelter, as well as other essential products and services like healthcare, education, infrastructure development, and transportation. Companies that can provide these goods and services have an opportunity to enter new markets and cater to the demands of the growing population.

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Net earnings mean the total of.

-225.98 + 82.75 is saying that they spent 225.98 on supplies and made 82.75

-143.23 is the result you get:

The rational roots of the given equation x(3x − 4) (x − 5) = 0 are x = 0, 4/3 and 5

What is Rational Number?

Numbers that may be expressed in the form p/q, where p and q are integers and q0, are considered rational numbers. Because fractions cannot have a negative numerator or denominator, they differ from rational numbers in this respect. Because of this, the numerator and denominator of a fraction are whole numbers (denominator 0), unlike in the case of rational numbers, when they are both integers.

So to convert a fractional to reduce form we have to divide by 10 to power how many digits thereafter decimal point, and make sure that numerator or denominator doesn't have common divisible.

x(3x − 4) (x − 5) = 0

So we can put every term equal to zero to find it's root.

1st case, x = 0

2nd, 3x-4 = 0

        3x = 4

         x= 4/3

3rd, x-5 = 0

        x = 5

Hence, the rational roots of the given equation are x = 0, 4/3 and 5

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Developers determine the specifics of how to build a system in the design phase. b

The design phase and its importance:
Define Objectives:

The design phase begins after the completion of the analysis phase, where developers have gathered and evaluated requirements.

The main objective of the design phase is to create a blueprint for the system that addresses all identified requirements.
Create Architectural Design:

During this step, developers establish the overall structure of the system, including its components, their relationships, and the interactions between them.

This architectural design provides a high-level view of the system's organization.
Design System Components:

With the architectural design in place, developers focus on designing individual components or modules of the system. They create detailed specifications, which include the functionality, inputs, outputs, and processes for each component.
Design User Interface:

The user interface design involves creating a user-friendly and efficient way for end-users to interact with the system. This can include designing screen layouts, menus, buttons, and other interface elements.
Validate Design:

The final step in the design phase is to ensure that the proposed design meets all the requirements identified during the analysis phase.

Developers may use various methods, such as reviews and simulations, to validate their design before proceeding to the implementation phase.
The design phase is a crucial part of the system development process, as it defines how the system will be built, ensuring it meets the needs of its users and the project's objectives.

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Answer: There would be 240 oranges in 12 baskets.

Step-by-step explanation:

So, if there's 20 oranges per basket, you would just need to multiply 20 oranges by the 12 baskets.

20 x 12 = 240.

Answer:

C. g(f(x)) = \((x - 5)^{2}\)

Step-by-step explanation:

f(x) = x - 5

g(x) = \(x^{2}\)

g(f(x)) = \((x - 5)^{2}\)

Marginal means refers to the average of all participants on one level of the independent variable, ignoring the other independent variable.

A marginal value can be defined as a value that is valid under specific conditions, the change in a value brought on by a particular change in an independent variable, whether that independent variable or a dependent variable, or any combination of these.

In statistical modeling, experimental sciences, and mathematical modeling, there are dependent and independent variables. Dependent variables are so named because they are studied in an experiment under the assumption or demand that they are dependent on the values of other variables according to some rule or law.

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Given:

\(4=-2\left(x-3\right)\)

To find:

The error that a student has made while solving the equation.

Solution:

We have,

\(4=-2\left(x-3\right)\)

Using distributive property, we get

\(4=-2(x)-2(-3)\)

\(4=-2x+6\)

Subtract 6 from both sides.

\(4-6=-2x+6-6\)

\(-2=-2x\)

Divide both sides by -2.

\(1=x\)

The value of x is 1.

In step 2, the distributive property is not used properly because when -2 is distributive with -3 then we get 6 instead of -6.

Therefore, the student has made error in step 2.

a) the unique ratio of equilibrium prices is p1/p2 = 1/1 = 1.

b) the Pareto efficient allocations occur when agent 1 consumes all of good 1 and agent 2 consumes all of good 2. This means that x11 = 1, x21 = 0, x12 = 10, and x22 = 10.

c) To make this a Walrasian equilibrium, we can adjust the endowments as follows:

Agent 1's new endowment: (1, 10 - x12) = (1, 0)

Agent 2's new endowment: (0, 10 - x22) = (0, 0)

By adjusting the endowments, we ensure that the total endowment matches the total demand at the Pareto efficient allocation, making it a Walrasian equilibrium.

a) To find the Walrasian equilibria of the economy, we need to determine prices at which the demand for each good matches the total endowment of the economy.

Let's denote the prices of goods 1 and 2 as p1 and p2, respectively. The demand for good 1 by agent i is given by x_i1^d = e_i1 - (p1/p2)e_i2, where e_i1 is the endowment of good 1 for agent i and e_i2 is the endowment of good 2 for agent i.

The total demand for good 1 in the economy is x_11^d + x_21^d = (1 - (p1/p2)) + 0 = 1 - (p1/p2).

Similarly, the total demand for good 2 in the economy is x_12^d + x_22^d = 10 + 10 = 20.

Since the total demand for each good must equal the total endowment, we have the following equations:

1 - (p1/p2) = 1 --> p1 = p2

20 = 10 + 10(p1/p2)

Simplifying the second equation, we get:

20(p2/p1) = 20

p2 = p1

Therefore, the unique ratio of equilibrium prices is p1/p2 = 1/1 = 1.

b) Pareto efficient allocations are those where it is not possible to make one agent better off without making the other worse off. To find the Pareto efficient allocations, we can compare the agents' utilities.

Agent 1's utility function is u1(x11, x12) = v(x11) + x12.

Agent 2's utility function is u2(x21, x22) = v(x21) + x22.

Since v is a strictly concave and increasing function, it implies that for a fixed value of x_i2, increasing x_i1 will always increase the utility of agent i. Similarly, increasing x_i2 will also increase the utility.

Therefore, the Pareto efficient allocations occur when agent 1 consumes all of good 1 and agent 2 consumes all of good 2. This means that x11 = 1, x21 = 0, x12 = 10, and x22 = 10.

c) To make a Pareto efficient allocation a Walrasian equilibrium, we need to adjust the endowments such that the total demand for each good matches the total endowment at the given Pareto efficient allocation.

In this case, the Pareto efficient allocation is x11 = 1, x21 = 0, x12 = 10, and x22 = 10.

To make this a Walrasian equilibrium, we can adjust the endowments as follows:

Agent 1's new endowment: (1, 10 - x12) = (1, 0)

Agent 2's new endowment: (0, 10 - x22) = (0, 0)

By adjusting the endowments, we ensure that the total endowment matches the total demand at the Pareto efficient allocation, making it a Walrasian equilibrium.

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The value of x on the closed interval [ -2,2 ] that g has an absolute maximum is 0

Given the function \(g (x) = 3x^4 - 8x^3\)

The function is at a maximum at g'(x) = 0

Differentiating the function given:

\(g'(x)= 12x^3-24x^2\\0= 12x^3-24x^2\\ 12x^3-24x^2=0\\12x^2(x-2)=0\\12x^2=0 \ and \ x - 2 = 0\\x = 0 \ and\ 2 \\)

Substitute x = 0 and x = 2 into the function;

g(0) = 3(0)^3 - 8(0)^3

g(0) = 0

Since the range of the function is least at x = 0, hence the value of x on the closed interval [ -2,2 ] that g has an absolute maximum is 0

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Answer:

That is the correct answer

Step-by-step explanation:

AND the whole solution I hope it helps to you

Answer:

Step-by-step explanation:

(3x + 1)/x = 1/(x -3)                Cross multiply

(3x + 1)(x - 3) = x                   Remove the brackets. Use FOIL

f:3x*x = 3x^2

o:3x*(-3) = -9x

i:1*x = x

L : 1 * - 3 = -3

FOIL: 3x^2 -9x +x - 3

FOIL: 3x^2 - 8x - 3

3x^2 - 8x - 3 = x                  Subtract x from both sides

3x^2 - 8x -x - 3 = 0             Combine

3x^2 - 9x - 3 = 0                 Factor

It's rather ugly. I had to use the quadratic equation

a = 3

b = - 9

c = - 3

x1 = 3.3

x2 = - 0.3

Answer:

140 degree or Answer D

Step-by-step explanation:

140 degrees is the answer for a Nonagon

The second derivative of v with respect to t, denoted as d²v/dt², is equal to 4

The second derivative of v with respect to t, we will differentiate v twice.

v = 2t² + 7t + 11

First, let's find the first derivative of v with respect to t (dv/dt):

dv/dt = d/dt (2t² + 7t + 11)

Using the power rule of differentiation, we differentiate each term separately:

dv/dt = 2(2t) + 7(1) + 0

dv/dt = 4t + 7

Now, let's find the second derivative of v with respect to t (d²v/dt²):

d²v/dt² = d/dt (4t + 7)

Again, using the power rule of differentiation, we differentiate each term separately:

d²v/dt² = 4(1) + 0

d²v/dt² = 4

Therefore, the second derivative of v with respect to t, denoted as d²v/dt², is equal to 4.

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Answer:

Perpendicular

Step-by-step explanation:

Perpendicular lines intersect and create 4 90 degree angles

Line AB and CD intersect and create 4 90 degree angles therefore line AB and CD are perpendicular

The range would be the most appropriate measure of spread in this case because it takes into account the extreme values of $300 and $1,300 and provides a clear measure of the difference between them.

To measure the amount of money college students spend on rent per month, the most appropriate measure of spread would be the range. The range is the simplest measure of spread and is calculated by subtracting the lowest value from the highest value in a data set. In this case, the range would be $1,300 - $300 = $1,000.

The median would not be the best choice in this scenario because it only represents the middle value in a data set. It does not take into account extreme values like the $1,300 rent expense.

Standard deviation would not be the most appropriate measure of spread in this case because it calculates the average deviation of each data point from the mean. However, it may not accurately represent the spread when extreme values like the $1,300 rent expense are present.

The interquartile range (IQR) would not be the best choice either because it measures the spread of the middle 50% of the data set. It does not consider extreme values and would not accurately represent the range of rent expenses in this scenario.

In summary, the range would be the most appropriate measure of spread in this case because it takes into account the extreme values of $300 and $1,300 and provides a clear measure of the difference between them.

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Hey there!

Question reads….

“Are the ratios 5:20 and 1:2 equivalent?”

Let’s find out if they are or not!

5:20

= 5 ÷ 5 : 20 ÷ 5

= 1 : 4

So, therefore, your answer is: NO because 5:20 = 1:4 NOT 1:2

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)