Barbara is going to buy a shirt for 15.00$ and a pair of pants for 25.00$. She has to also pay 7% sales tax. If Barbara pays with a 50$ bill, how much change will she get back?

Answer:

what do you need help with

The competitive price of good x and the corresponding allocation of labor (l) is \((2/3)^{(3/2)}\) x \(l^{(1/2)}\) = 1/2.

To find the competitive prices and allocation in this economy, we need to determine the equilibrium conditions. In a competitive market, prices are determined such that supply equals demand. In this case, the supply of good x is determined by the cost function of the firm, while the demand for good x is determined by the utility function of the representative agent.

Let's find the agent's demand for good x. The agent maximizes their utility subject to their budget constraint, which is given by the endowment of labor (l) and the prices of x and l. The agent's optimization problem can be solved using Lagrange multipliers, which yields the following demand function:

x = \((2/3)^{(3/2)}\) x \(l^{(1/2)}\)

We can find the supply of good x by minimizing the cost function of the firm. The cost minimization problem can be solved by equating the marginal product of labor to the wage rate (the price of labor). In this case, the marginal product of labor is equal to 2q, and the wage rate is 1. Solving for the quantity of x produced (q) gives us:

q = 1/2

We can determine the competitive prices. Since the demand for good x is given by the agent's utility function, we can equate the demand and supply functions to find the equilibrium prices:

\((2/3)^{(3/2)}\) x \(l^{(1/2)}\) = 1/2

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Answer:

49

Step-by-step explanation:

the line joined by midpoints of sides is called midsection

which is parallel to the third side and is half its length

so (5x - 26) * 2 = 9x - 37

10x - 52 = 9x - 37

x = 52 - 37

x = 15

so PQ is 5x - 26

= 5*15 - 26

= 75 - 26

= 49

Answer:

4 and for x+y is 2+1

Step-by-step explanation:

The margin of error for the statistical scenario described is 0.0599

To obtain the margin of error , we use the formula:

Inserting the formula as follows:

ME = 2.576 * √(0.791 * (0.209)/306)

ME = 2.576 * 0.0232

ME = 0.0599

Therefore, the margin of error is 0.0599

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In the context of property variance, a variance refers to a legal authorization or exception granted to a property owner by the local governing authority. It allows the property owner to deviate from specific zoning regulations or land-use restrictions that would otherwise apply to their property.

The variance process is used when property owners believe that strict adherence to the existing regulations would cause undue hardship or prevent them from fully utilizing their property in a way that is reasonable and consistent with neighboring properties.

The purpose of property variances is to address unique circumstances or hardships that may exist for a particular property. Property variances typically involve submitting an application to the local zoning board or planning department, attending public hearings, and providing evidence or arguments to support the need for the variance.

The governing authority evaluates the application based on factors such as the impact on neighboring properties, public health and safety, and the intent of the zoning regulations. If approved, the property owner is granted permission to proceed with the proposed deviation from the regulations.

Overall, property variances provide flexibility in land-use regulations, allowing property owners to find reasonable solutions that meet their specific needs while still considering the broader community interests and objectives of zoning regulations.

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Possible causal reasons for the correlation between time spent playing video games and aggression are:

1. Video games cause aggression: This suggests that playing violent video games leads to aggressive behavior. To study this causal hypothesis, one possible approach would be to randomly assign participants to play either a violent or non-violent video game for a certain amount of time and then measure their level of aggression using a standardized aggression scale. This could be repeated with different samples to increase the reliability of the results.

2. Aggressive individuals seek out violent video games: This suggests that individuals who are already predisposed to aggression are more likely to choose to play violent video games. To test this hypothesis, researchers could administer an aggression scale to participants before asking them to report how often they play video games, and what types of games they prefer. The correlation between aggression scores and the amount of time spent playing violent video games would then be calculated.

3. A third variable is responsible for the relationship: This suggests that there is a third variable that causes both increased video game play and aggression. For example, this third variable could be stress levels, which may increase the likelihood of both playing video games and displaying aggressive behavior. To study this hypothesis, researchers could measure stress levels in participants and then ask them to report how often they play video games and their level of aggression. The correlation between stress levels and both video game play and aggression could then be calculated.

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Answer:

Solid A

Step-by-step explanation:

The formula to find the surface area of a cube = 6a²

Where a = side length

Solid A = 17ft

For solid A, surface area = 6 × (17 ft)²

= 1734 ft²

For Solid B

the conversion factor 3.28ft/ 1 m

Solid B = 5m

Hence, converting 5m to ft

1m = 3.28 ft

5m =

Cross Mulitiply

= 5m × 3.28ft

= 16.4 ft

Hence, the surface area of solid B =

6 × (16.4 ft)²

= 1613.76 ft²

The cube that has the larger surface area is Solid A

1. An exponential function to represent the spread of Ben's social media post is \(f(x) = 2(3)^x\)

2. An exponential function to represent the spread of Carter's social media post is \(f(x) = 10(2)^x\)

3. A graph of each function with three points for each curve is shown below.

In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:

\(f(x) = a(b)^x\)

Where:

Based on the table of values, the initial value is 2. Next, we would determine the common ratio (b) as follows;

Common ratio, b = a₂/a₁

Common ratio, b = 6/2 = 3.

Therefore, the required exponential function is given by;

\(f(x) = 2(3)^x\)

Part 2.

For Carter's social media post, we have the following exponential function:

\(f(x) = a(b)^x\\\\f(x) = 10(2)^x\)

Part 3.

In this scenario and exercise, we would use an online graphing calculator to plot the above exponential functions as shown in the graph attached below.

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Answer:

Step-by-step explanation:

The determinant is the price of related goods, specifically the price of fuel. The increase in fuel prices would lead to a decrease in the demand for Ford F150 trucks, shifting the demand curve to the left.

The price of related goods is an important determinant of demand.

The drastic increase in fuel prices is likely to shift the demand curve for Ford F150 trucks to the left.

This is because consumers tend to reduce their demand for vehicles with lower fuel efficiency when fuel prices increase.

The determinant of this shift in demand is the price of related goods, specifically, the price of gasoline.

When the price of gasoline increases, it affects the demand for vehicles that are less fuel-efficient, such as trucks.

Therefore, the price of related goods is an important determinant of demand.

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Answer:

0,0

Step-by-step explanation:

The point Q was rotated about the origin (0,0) by -45 degrees, so the new coordinate point is (√2, 4√2).

From the given graph, the coordinates of point Q are (-3, 5).

Rotating the co-ordinate axes through an angle of 45° in anti-clockwise direction is equivalent to rotating the point through an angle of -45° about origin.We will use rotation from complex numbers to solve this.

Let x + iy the new complex number

(-3+5i)\(e^{\frac{-\pi i}{4} }\)

= (-3+5i)((1-i)/√2)

= (-3+5i)(1-i) ×1/√2

= (-3+5i+3i-5i²) ×1/√2

= (-3+8i+5) ×1/√2

= (2+8i) ×1/√2

= (2/√2 + 8i/√2)

= (√2 + 4√2i)

So, the coordinates are (√2, 4√2)

Therefore, the point Q was rotated about the origin (0,0) by -45 degrees, so the new coordinate point is (√2, 4√2).

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(a) The matrix A for T1(T2(x)) is [22 66; -12 46], (b) The matrix A for T2(T1(x)) is [-10 60; -16 92]., (c) The matrix A for T1(T1(x)) is [7 12; 10 19]., (d) The matrix A for T2(T2(x)) is [4 48; -24 128].

To find the matrix A for each of the compositions, we first need to multiply the linear transformations together and then extract the coefficients of the resulting matrix.

(a) T1(T2(x)) can be computed as follows:

T1(T2(x))

= T1([-2x1 + 8x2; 6x2])

= [3(-2x1+8x2)+6(6x2); -2(-2x1+8x2)+7(6x2)]

= [22x1+66x2; -12x1+46x2]

So the matrix A for T1(T2(x)) is [22 66; -12 46].

(b) T2(T1(x)) can be computed as follows:

T2(T1(x))

= T2([3x1+6x2; -2x1+7x2])

= [-2(3x1+6x2)+8(-2x1+7x2); 6(-2x1+7x2)]

= [-10x1+60x2; -16x1+92x2]

So the matrix A for T2(T1(x)) is [-10 60; -16 92].

(c) T1(T1(x)) can be computed as follows:

T1(T1(x))

= T1([3x1+6x2; -2x1+7x2])

= [3(3x1+6x2)+6(-2x1+7x2); -2(3x1+6x2)+7(-2x1+7x2)]

= [7x1+12x2; 10x1+19x2]

So the matrix A for T1(T1(x)) is [7 12; 10 19].

(d) T2(T2(x)) can be computed as follows:

T2(T2(x))

= T2([-2x1+8x2; 6x2])

= [-2(-2x1+8x2)+8(6x2); 6(8x2)]

= [4x1+48x2; -24x1+128x2]

So the matrix A for T2(T2(x)) is [4 48; -24 128].

Note that matrix A for each composition is a 2x2 matrix, which represents the linear transformation that results from composing the original two linear transformations.

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Sales in dollars made by a sales person are an example of quantitative data.

The correct answer choice is option B.

Quantitative data can be defined as data which measures of values or counts are expressed as numbers such as discreet and continuous data.

They help to measure types and are usually represented by symbol and numbers.

Hence, sales as well as revenue are qualitative data.

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Answer:

would you rather, i think

Answer:

I know one of the statements will he that angle 1 is congruent to angle 2. the reason to that will be that they are vertical angles.

Answer:

The diameter is any straight line that passes through the center of the circle, which endpoints can lie on. The radius is half the diameter. They help us find the circumference of a circle

Answer:

The diameter is the length of the line through the center that touches two points on the edge of the circle. It is related to the radius because whatever the diameter is is double what the radius is.  In differential geometry, the diameter is an important global Riemannian invariant.

Step-by-step explanation:

The term used to gain an advantage in a game or contest is tactics or tactical skills. Strategy refers to the overall plan for achieving a goal, while a game plan is a specific plan for winning a game or contest.

The tactical triangle is a framework used to analyze and develop tactics in sports.

These involve making smart decisions and adapting to situations during the game to gain an upper hand over opponents.

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Answer: 20 PURPLE marbels

Step-by-step explanation:

no explanation

Answer:

the is 200 purple marbles 70 red marbles

We can rewrite the equation in standard form by moving the constant term to the other side: (x + 7/2)^2 + (y - 1)^2 + (z + 7)^2 = 165/4

To write the equation of the sphere in standard form by completing the square, we need to rearrange the terms and group them appropriately. The general equation of a sphere in standard form is given by (x - h)^2 + (y - k)^2 + (z - l)^2 = r^2, where (h, k, l) represents the center of the sphere and r represents the radius.

Given the equation x^2 + y^2 + z^2 + 7x - 2y + 14z + 21 = 0, we can start by rearranging the terms:

(x^2 + 7x) + (y^2 - 2y) + (z^2 + 14z) + 21 = 0

Now, we focus on completing the square for each of the quadratic terms separately. We add and subtract the appropriate constants to the quadratic terms so that they become perfect squares. For the x-term, we need to add (7/2)^2 = 49/4, for the y-term, we need to add (-2/2)^2 = 1, and for the z-term, we need to add (14/2)^2 = 49:

(x^2 + 7x + 49/4) + (y^2 - 2y + 1) + (z^2 + 14z + 49) + 21 - 49/4 - 1 - 49 = 0

Next, we can simplify the equation:

(x + 7/2)^2 + (y - 1)^2 + (z + 7)^2 - 49/4 - 1 - 49 + 21 = 0

(x + 7/2)^2 + (y - 1)^2 + (z + 7)^2 - 49/4 - 4/4 - 196/4 + 84/4 = 0

(x + 7/2)^2 + (y - 1)^2 + (z + 7)^2 - 165/4 = 0

Now, we have successfully completed the square and written the equation of the sphere in standard form. The center of the sphere is given by (-7/2, 1, -7), and the radius is determined by r^2 = 165/4.

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An inverse variatiοn includes the pοints (8, 3) and (2, n), the value οf n is 12.

Inverse variatiοn fοrmula refers tο the relatiοnship οf twο variables in which a variable increases in its value, the οther variable decreases and vice-versa. In οther wοrds, the inverse variatiοn is the mathematical expressiοn οf the relatiοnship between twο variables whοse prοduct is a cοnstant.

Using the given pοints, we can set up a prοpοrtiοn tο find k:

8 * 3 = k

2 * n = k

Setting the twο expressiοns fοr k equal tο each οther, we get:

8 * 3 = 2 * n

24 = 2n

Dividing bοth sides by 2, we get:

n = 12

Therefοre, the value οf n is 12.

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Answer:

-2

Step-by-step explanation:

Slope = rise/run

\(\mathrm{Slope} = \frac{y_2-y_1}{x_2-x_1}\\m=\frac{1-5}{4-2}\\1 - 5 = -4\\4 - 2 = 2\\=\frac{-4}{2}\\ =-2\)

the standard form of the equation -9x²+25y²-100y = 125 is x²/25 + (y-2)²/9 = 1

Add 125 to both sides of the equation.

-9x²+25y²-100y = 125

Complete the square for 25y²-100y

25(y-2)²-100

Substitute 25(y-2)²-100 for 25y²-100y in the equation

-9x²+25y²-100y = 125

-9x²+25(y-2)²-100 = 125

Move −100 to the right side of the equation by adding 100 to both sides.

-9x²+25(y-2)² = 125 +100 = 225

Divide each term by 225 to make the right side equal to one.

-9x²/225 +25(y-2)²/225 = 225/225

Simplify each term in the equation in order to set the right side equal to 1. The standard form of an ellipse or hyperbola requires the right side of the equation to be 1.

x²/25 + (y-2)²/9 = 1

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Answer:

Step-by-step explanation:

In this problem, we want to write a model/equation that will represent the cost of producing a phone

Given, labor and materials cost per phone is $100

the cost of producing 8 phones a day is $1300

let us find the cost of producing one phone a day

8 phone is produced for $1300

1 phone will be for x

x= 1300/8

x=$162.5

The cost of producing a phone in a  day is $162.5

therefore the of producing p phone in a day is 162.5p

if C represents the total cost of producing a phone

then total cost, in dollars, of producing p phones in a given day.

C=100+162.5p

Answer: C = 100p + 500

This is the correct awnser

Step-by-step explanation:

Answer:

b =\(\frac{20}{27}\)

Step-by-step explanation:

Easy question.

Answer:

your mother

Step-by-step explanation:

you get a father

I think but not for sure

The zero vector, also known as the additive identity, is a special vector in a vector space. In the vector space M4,2, which consists of 4x2 matrices, the zero vector is a 4x2 matrix with all its elements being zero.

t is called the additive identity because when you add it to any other vector in the vector space, the result is the same vector. In other words, for any vector V in M4,2, V + 0 = V, where 0 is the zero vector.

The zero vector for M4,2 looks like this:

0 = [ [0, 0],
       [0, 0],
       [0, 0],
       [0, 0] ]

So, the zero vector in the vector space M4,2 is a 4x2 matrix with all elements being zero, and it maintains the property that when added to any vector in the space, the result remains unchanged.

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Answer:

43, it raises by 4 each time. good luck!

Step-by-step explanation:

Answer:

$50.40

Step-by-step explanation:

To find how much Lana will pay in total follow these steps.

First, multiply 40 by 1.05.

40×1.05=42.

This is how much she will pay for the food plus tax.

Now, multiply 42 by 1.2.

42×1.2=50.40

This is how much she will pay for the food, tax, and tip.

Lana will pay a total of $50.40.

Hope this helps!