______ is the cost for the use of money.

Answer:

25

Step-by-step explanation:

Brooke paid $2.0625 for tip.

A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction.

Given that, Brooke went to Connie’s café and ordered the lunch special for $8.99, and she pays 0.74 in sales tax and 25% as tip.

8.99-0.74 = 8.25

25% of 8.25 = 8.25*25/100 = 2.0625

Hence, Brooke paid $2.0625 for tip.

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Answer:

m+12=26       m=14

Step-by-step explanation:

Richard spent m. Jordan spent 12. TOGETHER they spent 26. Together means total and finding the total means adding.

Answer: 24

Step-by-step explanation:

Answer:

12.89

Step-by-step explanation:

use a calculator

Since each side of the pen is being increased by 4 feet, the total increase in perimeter would be 4 feet multiplied by 4 sides, which equals 16 feet.

To determine how many feet of additional fence Craig should purchase, we need to calculate the increase in the perimeter of the enlarged pen. Therefore, Craig should purchase an additional 16 feet of fence to build his enlarged fence.

The original size of the pen is an 8 by 8 feet square, which means each side measures 8 feet. The perimeter of the original pen is calculated by adding up the lengths of all four sides, so 8 + 8 + 8 + 8 = 32 feet.

To enlarge the pen, Craig decides to increase each side by 4 feet. After the enlargement, each side of the pen would measure 8 + 4 = 12 feet. The perimeter of the enlarged pen is calculated in the same way, by adding up the lengths of all four sides: 12 + 12 + 12 + 12 = 48 feet.

To find the additional fence Craig needs to purchase, we subtract the original perimeter from the enlarged perimeter: 48 feet - 32 feet = 16 feet. Therefore, Craig should purchase an additional 16 feet of fence to build his enlarged fence.

This calculation is based on the assumption that the pen remains a square shape after enlargement. If the shape of the enlarged pen differs from a square, the calculation would vary.

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Answer:

A. 18x - 3y = 6

Step-by-step explanation:

By taking 3 common from the terms 18x and 3y we get,

3 (6x-3y) = 6

or, 6x - y = 6/3

or, 6x - y = 2

And,

The equation becomes,

y = 6x - 2

The equation has exactly one solution in common with the equation y=6x-2 will be 18x - 3y = 6. The correct option is A.

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.

An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

By taking 3 commons from the terms 18x and 3y we get,

3 (6x-3y) = 6

6x - y = 6/3

6x - y = 2

The equation becomes,

y = 6x - 2

Therefore, the equation has exactly one solution in common with the equation y=6x-2 will be 18x - 3y = 6. The correct option is A.

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Step-by-step explanation:

\(f(x) = ln( \frac{1}{x} ) \)

To find the derivative, notice we have a function 1/x inside of another function, ln(x)

We use what we call the chain rule,

It states that

derivative of a '

\( \frac{d}{dx} f(g(x)) = f '(g(x)) \times \: g '(x)\)

Here f is ln(x)

f is 1/x

So first, we know that

\( \frac{d}{dx} ( ln(x) = \frac{1}{x} \)

so

\(f'(g(x)) = \frac{1}{ \frac{1}{x} } \)

We know that

\(g'(x) = - \frac{1}{ {x}^{2} } \)

So we have

\(x \times - \frac{1}{ {x}^{2} } = \frac{ - 1}{x} \)

Answer:

Degree 5

Step-by-step explanation:

Given

Degree of f(x) = 3

Degree of g(x) = 5

Required

Degree of 2f(x) + 4g(x)

2f(x) means 2 * f(x)

Since 2 is a constant

Multiplying f(x) by 2 will result in a polynomial with a degree of 3

Hence 2f(x) has a degree of 3

4g(x) means 4 * g(x)

Since 4 is also a constant

Multiplying g(x) by 4 will result in a polynomial with a degree of 5

Hence 4g(x) has a degree of 5

Having said that;

When 2 polynomials of different degrees are added together, the degree of the result will be the higher degree of both polynomials;

This means that;

Adding a polynomial of degree 3 and another of degree 5 will result in a polynomial of degree 5

It’s already labeled..

Multiply, or add the numbers labeled on them. It’s really not about the angles

Sorry I didn’t really give you an answer but I hope this helped!

Answer:

-25

Given:

x=7

Step-by-step explanation:

3+6x-12x+14

⇒ 3 + 6(7) - 12(7) + 14

⇒ 3 + 42 - 84 + 14

⇒ 45 - 84 + 14

⇒ -39 + 14

⇒ -25

hope you understood!

Answer:

x = -8 + sqrt(10) and x = -8 - sqrt(10)

Step-by-step explanation:

The quadratic equation to be solved is:

2(x + 8)² + 9 = 29

First, we need to simplify the left-hand side of the equation by expanding the squared term:

2(x + 8)(x + 8) + 9 = 29

Simplifying further, we get:

2(x² + 16x + 64) + 9 = 29

Distributing the 2, we get:

2x² + 32x + 128 + 9 = 29

Combining like terms, we get:

2x² + 32x + 137 = 29

Subtracting 29 from both sides, we get:

2x² + 32x + 108 = 0

Dividing both sides by 2, we get:

x² + 16x + 54 = 0

We can solve this quadratic equation by factoring or by using the quadratic formula :

The equation presented is a quadratic equation in standard form, ax² + bx + c = 0, where a = 1, b = 16, and c = 54. To solve this equation, we can use the quadratic formula, x = (-b ± sqrt(b² - 4ac)) / 2a. Plugging in the values, we get x = (-16 ± sqrt(16² - 4(1)(54))) / 2(1) = (-16 ± sqrt(16)) / 2 or (-16 ± 2sqrt(10)) / 2. Simplifying, we get x = -8 ± sqrt(10). Therefore, the two solutions to this equation are x = -8 + sqrt(10) and x = -8 - sqrt(10).

To make $3000 selling game tickets, the boys football team needs to sell a combination of adult and student tickets. Solving the system of equations gives the number of adult and student tickets that must be sold 150 adult tickets and 300 student tickets.

The first equation relates the number of adults and students: since there are twice as many students as adults, we can write

b = 2a

where b is the number of students and a is the number of adults.

The second equation relates the revenue from ticket sales to the number of adults and students

8a + 6b = 3000

where 8a is the revenue from adult tickets and 6b is the revenue from student tickets.

Now we can substitute the first equation into the second equation to get

8a + 6(2a) = 3000

Simplifying, we get

20a = 3000

Dividing by 20, we get

a = 150

This means we need to sell 150 adult tickets. Using the first equation, we can find the number of student tickets

b = 2a = 2(150) = 300

So we need to sell 300 student tickets.

Therefore, the boys football team must sell 150 adult tickets and 300 student tickets to reach their goal of making $3000.

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Answer:

Edges: 12

Faces: 6

Step-by-step explanation:

This 3D shape is a rectangular prism. Rectangular prisms have 12 edges, 6 faces, and 8 vertices. The base shape is a rectangle, and the volume to find it is l × w × h.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

  x=12

Step-by-step explanation:

12+x=-12+3x

-2x=-24

x=12

Answer:

x=12

Step-by-step explanation:

12+x=-3(4-x)

12+x=-12+3x

2x=24

x=12

To find the surface area of a rectangular prism, we need to find the area of each face and add them up.

The prism has six faces: two identical rectangular faces on the top and bottom, and four rectangular faces on the sides.

To find the area of each face, we multiply the length and width of the face.

Top and bottom faces:

Length = 6 ft

Width = 3 ft

Area = 6 ft x 3 ft = 18 ft^2

Since there are two of these faces, their combined area is 2 x 18 = 36 ft^2

Side faces:

Length = 9 ft

Width = 3 ft

Area = 9 ft x 3 ft = 27 ft^2

Since there are four of these faces, their combined area is 4 x 27 = 108 ft^2

To find the total surface area, we add up the areas of all six faces:

Total surface area = 2(top and bottom faces) + 4(side faces)

Total surface area = 2(36 ft^2) + 4(108 ft^2)

Total surface area = 72 ft^2 + 432 ft^2

Total surface area = 504 ft^2

Therefore, the surface area of the given rectangular prism is 504 square feet.

Answer: C {3, 4}

Step-by-step explanation:

Solve the inequality:

7x + 6 > 20

7x > 20 - 6

7x > 14

x > 2

Only 3 and 4 are greater than 2.

The trip will take about 11.93 hours, or approximately 11 hours and 56 minutes.

What is distance?

Distance is the measure of how far apart two objects or locations are from each other. It is usually measured in units such as meters, kilometers, miles, or feet. Distance is a scalar quantity, meaning it has only magnitude and no direction.

To calculate the total time for the trip, we need to take into account the time for driving and the time for lunch.

First, let's calculate the time for driving:

Distance to be covered = 800 miles

Average speed = 70 miles per hour

Time for driving = Distance / Speed

Time for driving = 800 miles / 70 miles per hour

Time for driving = 11.43 hours

So, the driving time is approximately 11.43 hours.

Now, let's add the time for lunch. The stop for lunch is 30 minutes, which is equivalent to 0.5 hours.

Total time for the trip = Time for driving + Time for lunch

Total time for the trip = 11.43 hours + 0.5 hours

Total time for the trip = 11.93 hours

Therefore, the trip will take about 11.93 hours, or approximately 11 hours and 56 minutes.

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(a) By plugging in different values for x1, we can plot the indifference curves passing through the given points (2, 2), (1, 2), and (4, 2).

(b) The shape of the indifference curves shows convexity.

(c) The property used to determine this is the non-satiation property of preferences.

(d) The Walrasian demand may not always be single-valued.

(e) Receiving the voucher makes the consumer better-off .

(f) The cash payment allows the consumer to maximize utility by making trade-offs

For 4x1 + x2 = x1 + 2x2, rearranging the equation gives x2 = 3x1, representing the linear part of the indifference curves.

For x1 + 2x2 = 4x1 + x2, rearranging the equation gives x2 = 3x1, representing the kink in the indifference curves.

By substituting different values for x1, we can plot the indifference curves. They will be upward sloping straight lines with a kink at x2 = 3x1.

(b) Properties of the preferences deduced from the shape of indifference curves and utility function:

Diminishing Marginal Rate of Substitution (MRS): Indifference curves are convex, indicating diminishing MRS. The consumer is willing to give up less of one good as they consume more of it, holding the other good constant.

Non-Satiation: Indifference curves slope upwards, showing that the consumer prefers more of both goods. They always prefer bundles with higher quantities.

Convex Preferences: The kink in the indifference curves indicates convexity, implying risk aversion. The consumer is willing to trade goods at different rates depending on the initial allocation.

(c) UMP does not have a solution when Pk = 0 and X -> R2+. This violates the assumption of finite resources and prices required for utility maximization. The property used is non-satiation, as a consumer will always choose an infinite quantity of goods when they are available at zero price.

(d) Walrasian demand depends on relative prices:

If p1 = p2 > 4, the maximizing bundle lies on the linear portion of indifference curves, where x2 = 3x1.

If 4 < p1 = p2 < 1/2, the maximizing bundle lies on the linear portion of indifference curves but at lower x1 and x2.

If p1 = p2 < 1/2, the maximizing bundle lies at the kink point where x1 = x2.

Walrasian demand may not be single-valued due to the shape of indifference curves and the kink point, allowing for multiple optimal solutions based on relative prices.

(e) Given p1 = p2 = 1 and w = $60, the initial budget set is x1 + x2 = 60. With a $10 voucher for good 1, the new budget set becomes x1 + x2 = 70. Since p1 = 1, the consumer spends the voucher on good 1, resulting in x1 = 20 and x2 = 40. Receiving the voucher improves the consumer's welfare by allowing more consumption of good 1 without reducing good 2.

(f) If given the choice between a $10 cash payment and a $10 voucher for good 1 only, the consumer would choose the cash payment. It provides flexibility to allocate the funds based on individual preferences. The answer remains the same even if the assistance were $30, as the cash payment still allows optimal allocation based on preferences. Cash payment offers greater utility-maximizing options compared to the voucher, which restricts choices.

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Step-by-step explanation:

that's the answer bbbbbbbb

Examples of such data include stock prices, economic indicators, and meteorological data such as temperature, wind speed, and barometric pressure.

These types of data often have a trend or pattern, but the difference between the data points has meaning and does not necessarily have a defined starting point.

1. Data where the difference between data values has meaning but there is no defined starting point can be defined as data that is not linearly dependent.

2. Examples of such data include stock prices, economic indicators, and meteorological data. These types of data often have a trend or pattern, but the difference between the data points has meaning and does not necessarily have a defined starting point.

3. Stock prices, economic indicators, and meteorological data all have different scales and can move in different directions, making it difficult to track the exact difference between data points.

4. Despite this, these types of data still allow for meaningful analysis and can be used to make predictions and draw conclusions.

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Answer:

its 10

Step-by-step explanation:

Answer:

\(11xy+4x^{2} t\)

Step-by-step explanation:

1. Collect Like Terms

\((7xy+4xy)+(-x^{2} t+5x^{2} t)\\\)

2. Simplify.

\(11xy+4x^{2} t\)

Answer:

y = 172.973

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define equation

0.74y = 128

Step 2: Solve for y

Step 3: Check

Plug in y into the original equation to verify it is a solution.

Here we see that 128 does indeed equal 128.

∴ y = 172.973 is a solution of the equation.

Answer:

\(4\sqrt{7x^{7}y^{9} }\)

Step-by-step explanation:

I've attached an image below, hope it helps!

Therefore, the probability of either event A or B occurring is 0.35 or 35%.

Probability is a measure of the likelihood or chance of an event occurring. It is expressed as a number between 0 and 1, where 0 indicates that the event is impossible and 1 indicates that the event is certain to occur. In between 0 and 1, probabilities are often expressed as fractions, decimals, or percentages. Probability theory is widely used in fields such as mathematics, statistics, physics, engineering, finance, and more to analyze and understand random events and phenomena.

Here,

To find the probability of either event A or B occurring, we can use the formula:

P(A or B) = P(A) + P(B) - P(A and B)

We are given:

P(A) = 0.20

P(B) = 0.30

P(A and B) = 0.15

Substituting these values into the formula, we get:

P(A or B) = 0.20 + 0.30 - 0.15

P(A or B) = 0.35

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Answer:

(X+4) (X-6)

Step-by-step explanation:

You look for the least common multiple that when multiplied would equal -24 and when added would equal -2. You could also factor out the answer choices and see which one matches.

this is the answer. please mark me as brainliest.

Answer:

As applied to a polygon, a diagonal is a line segment joining any two non-consecutive vertices. Therefore, a quadrilateral has two diagonals, joining opposite pairs of vertices. For any convex polygon, all the diagonals are inside the polygon, but for re-entrant polygons, some diagonals are outside of the polygon.

Step-by-step explanation:

The standard error on the mean of these numbers is 1.08

For given question,

suppose your group measures the following three numbers in some experiment: 12.4,7.8,10.2

Mean of these numbers is:

\(\bar x=\frac{ 12.4+7.8+10.2}{3}\\\\ \bar x=10.13\)

So the standard deviation would be,

\(\sigma=\sqrt{\frac{(12.4-10.13)^2+(7.8-10.13)^2+(10.2-10.13)^2}{3} }\\\\\sigma=1.88\)

Now we find  the standard error on the mean of these numbers.

\(\sigma_M=\frac{\sigma}{\sqrt{N} }\)

where, \(\sigma_M\) = standard error of the mean

σ = the standard deviation of the original distribution

N = the sample size

\(\sigma_M=\frac{1.88}{\sqrt{3} }\\\\\sigma_M=1.08\)

Therefore, the standard error on the mean of these numbers is 1.08

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