Peter Piper Plumbing charges $7.50 per hour for labor
in addition to a service call fee of $9. If the plumbing
company charges you $76.50 for a house call, how
many hours were they at your house? Write an equation
and solve.

Answer:

L = 10m

And, W = 20m

Step-by-step explanation:

The computation is shown below:

Given that

2L + W = 40 m

Also we know that

Area = Length × width

= L × ( 40 - 2L)

= 40L - 2L^2

= -2(L^2 - 20L)

= -2(L^2 - 20L + 100 - 100)

= -2(L^2- 20L + 100) + 200

= -2(L - 10)^ + 200

So

L = 10m

And, W = 20m

\(~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 4700\\ P=\textit{original amount deposited}\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=years\dotfill &11 \end{cases} \\\\\\ 4700=Pe^{0.04\cdot 11} \implies 4700=Pe^{0.44}\implies \cfrac{4700}{e^{0.44}}=P\implies 3027\approx P\)

The introduction of B should not have impacted the preference between A and C.

Preference relations that violate Independence of the expected utility theorem:

Independence of irrelevant alternatives (IIA) refers to a preference relation principle that states that the decision maker's preference between two choices should be the same, regardless of the presence or absence of a third, unrelated option.

Suppose the following preferences:

Lottery A: 0.1 chance to win $2,000,000, 0.8 chance to win $1,000,000, 0.1 chance to win nothing

Lottery B: 0.12 chance to win $2,000,000, 0.03 chance to win $1,000,000, 0.85 chance to win nothing, and

Lottery C: 0.4 chance to win $2,000,000, 0.1 chance to win $1,000,000, 0.4 chance to win nothing.

Lottery A over B: A is chosen over B with probability 1

Lottery C over A: C is chosen over A with probability 0.5

Lottery C over B: C is chosen over B with probability 0

Suppose you're trying to decide between A and B, and you choose A. This implies that you have a specific preference between the two options. Similarly, if you choose C over A, it implies that you have a specific preference between those two options as well.

However, if you now compare C to B, you'll see that C is selected over B with probability 0, indicating that there is no preference between the two alternatives. This is in violation of the Independence of irrelevant alternatives theorem because the introduction of B should not have impacted the preference between A and C. Thus, this violates the Independence of the expected utility theorem.

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Answer:

(a) k = 4
(b) y = - 2x + 9

Step-by-step explanation:

x2-x1, y2-y1  
= 3-2, 3-5

= 1,-2
3,3 + 1,-2 = (4,1)

x=4

Answer:

9

Step-by-step explanation:

It is the greatest exponent.

The functions f(x) and g(x) are inverse functions

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

f(x) = 2/3x - 6

g(x) = 3/2x + 9

Using function composition, the following must be true if the functions are inverses

f(g(x)) = x

Substitute the known values in the above equation, so, we have the following representation

f(g(x)) = 2/3(3/2x + 9) - 6

f(g(x)) = x + 6 - 6

When evaluated, we have

f(g(x)) = x

This means that the functions are inverses

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Answer:

1 2 5

Step-by-step explanation:

Answer:

A, D, E  are the correct ones    aka  1, 4 and 5

Step-by-step explanation:

Answer:

25 degrees

Step-by-step explanation:

complementary angles are 90 degrees

90-65=25 degrees

Answer

\(\sqrt[3]{4^{2} }\)

Step-by-step explanation:

The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain.

So answer - since 2 of the 9 seats selected were courtside. The probability that they will be given Courtside seats is 2/9.

The area of mathematics known as probability deals with numerical descriptions of the chance of an event happening or of a proposition being true. An event's probability is a number between 0 and 1, with roughly 0 signifying the event's improbability and 1 signifying certainty. A probability is a numerical representation of how likely or likely it is that a specific event will occur. Both percentages ranging from 0% to 100% and percentages ranging from 0 to 1 can be used to describe probabilities.

The mezzanine has five seats.

The top level has 2 chairs.

Courtside has two seats available.

Bonnie and Kelly are merely two of the group's total of seven members.

since 2 of the 9 seats selected were courtside. The likelihood that they will be given Courtside seats is 2/9.

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The x- and y-coordinates of the center of mass are; (20, 0)

The center of mass is the location where the sum of the relative position of the masses in a mass distribution is zero. It is the point where force can be applied on the distributed mass without causing a rotation of the system.

The mas of the steel plate = 800 g = 0.8 kg

The base length of the isosceles triangular plate = 20 cm = 0.2 m

The height of the isosceles triangular plate = 30 cm = 0.3 m

Considering a small strip of height, dx and width, I, we get

Area of small strip, dA = I·dx

Density of the plate for a unit thickness, ρ = M/A

Density of the small strip of mass dm = dm/dA

Considering the density of the plate as uniform, we get;

\(\displaystyle {\frac{dm}{dA} =\frac{M}{A}\)

Therefore;

\(\displaystyle {dm=\frac{M}{A}\times dA}\)

The area of the triangular plate, A = (1/2) × 0.2 m × 0.3 m = 0.03 m²

Mass of the plate, M = 0.8 kg

Therefore;

\(\displaystyle {dm=\frac{0.8}{0.03}\times I\cdot dx}\)

The width of the small strip, I, located at a distance x from the vertex of the triangular plate, using similar triangles, indicates;

\(\dfrac{I}{20} = \dfrac{x}{30}\)

\(I=20\times \dfrac{x}{30} = \dfrac{2}{3} \cdot x\)

Therefore;

\(\displaystyle {dm=\frac{0.8}{0.03}\times I\cdot dx} = \frac{0.8}{0.03}\times \dfrac{2}{3} \cdot x\cdot dx}\)

The center of mass, \(x_{cm}\), can be obtained with the formula; \(\displaystyle {x_{cm} = \dfrac{1}{M} \cdot \int\limits {x} \, dm }\)

Therefore; \(\displaystyle {x_{cm} = \dfrac{1}{0.8} \cdot \int\limits {x} \cdot \frac{0.8}{0.03} \cdot \frac{2}{3}\cdot x\, dx }\)

\(\displaystyle {x_{cm} = \dfrac{1}{0.8} \cdot \int\limits {x} \cdot \frac{0.8}{0.03} \cdot \frac{2}{3}\cdot x\, dx } = \dfrac{1}{0.8} \times \frac{0.8}{0.03} \times \frac{2}{3}\cdot \int\limits^3_0 {x^2} \, dx\)

\(\displaystyle {x_{cm} = \dfrac{1}{0.8} \times \frac{0.8}{0.03} \times \frac{2}{3}\cdot \int\limits^3_0 {x^2} \, dx = \frac{200}{9} \cdot \left[\frac{x^3}{3} \right]^{0.3}_0\)

\(\displaystyle {x_{cm} = \frac{200}{9} \cdot \left[\frac{x^3}{3} \right]^{0.3}_0=\frac{200}{9} \times \frac{0.027}{3} =0.2\)

The location of the x-coordinate center of mass, \(x_{cm}\) = 0.2 m = 20 cm from the vertex, which is the same location as the x-coordinate of the centroid of the plate of uniform density.

The plate is symmetrical about the x-axis, therefore, the y-coordinate of the center of mass is along the x-axis, which is \(y_{cm}\) = 0

The coordinate of the center of mass = (0.2, 0)

Part of the question requires the location of the coordinate of the center of mass of the triangular plate

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The equation that represents the total number of jars of tomato sauce remaining will be y = - 0.25x + 1.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

At an eatery containers of pureed tomatoes are put away in an enclosed storage space. Each case contains 8 containers of pureed tomatoes. A cook utilizes 2 containers from 1 of the crates.

Let 'x' be the number of boxes and 'y' be the tomato sauce remaining in the pantry. Then the equation is given as,

y = - (2 / 8)x + 1

y = - 0.25x + 1

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The dependent variable in this hypothesis is test performance.

What is a dependent variable?

In mathematical modelling, statistical modelling, and experimental sciences, there are dependent and independent variables. Dependent variables get their name because, during an experiment, one‘s values are examined under the assumption as well as demand that they are dependent on the value of another variable due to some law or rule (for example, a mathematical function). In the context of the experiment in question, independent variables are those that are not thought to be depending on other variables. Time, space, specific gravity, mass, fluid flow rate and previous values of certain observed value of interest (such as the size of the human population) are examples of common independent variables that can be used to forecast future value systems (the dependent variable).

The outcome of this hypothesis is the dependent variable.

Hence, the dependent variable in this hypothesis is test performance.

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Answer:

41

Step-by-step explanation:

6x - 13 = 5x - 4

Add 13 to both sides. Subtract 5x from both sides.

x = 9

JL = 6x -13

6*9 - 13

54 -13

41

JL = 41

Brainliest :0!?

Answer:

One similar triangle: 15, 36 and 39

Another similar triangle: 10, 24, 26

Step-by-step explanation:

When a triangle is similar, it has corresponding sides that are each longer are shorter than the original triangle by a scale factor.

A scale factor is a number that you multiply the original triangle's sides by. After multiplying each original side, you get the side lengths of a new and similar triangle.

The original sides from the question are 5, 12 and 13.

Let's pick 3 to be a scale factor.

Multiply every original side by the scale factor to get the side lengths of a similar triangle.

5 × 3 = 15

12 × 3 = 36

13 × 3  = 39

∴ One similar triangle can have the sides 15, 36 and 39.

Let's pick another scale factor: 2

Now, we do the same. Multiply the original sides by the scale factor.

5 × 2 = 10

12 × 2 = 24

13 × 2  = 26

∴ Another similar triangle can have the sides 10, 24 and 26.

We can pick almost any number to be a scale factor. If we pick a scale factor that is:

We can make an infinite amount of other similar triangles just by changing the scale factor.

Different logs measure different physical properties of the formation that are related to porosity, and the relationship between the log measurement and porosity can be expressed through equations.

The different logs used to obtain porosity and their principles of measurement, quantities measured, and relation to porosity.
There are three main types of logs used to obtain porosity: neutron logs, density logs, and sonic logs.
Neutron logs: These logs measure the hydrogen content in a formation, which is directly related to porosity. The tool emits neutrons that interact with hydrogen atoms, and the resulting gamma rays are measured. The count rate decreases with increasing porosity. The neutron log can be expressed as:
Porosity = (neutron log reading - matrix reading) / (fluid reading - matrix reading)
Density logs: Density logs measure the bulk density of a formation, which can be related to porosity. The tool emits gamma rays that interact with the formation, and the scattered gamma rays are measured. The bulk density decreases with increasing porosity. The density log can be expressed as:
Porosity = (matrix density - bulk density) / (matrix density - fluid density)
Sonic logs: Sonic logs measure the travel time of sound waves through a formation, which can be related to porosity. The tool sends an acoustic wave and measures the time it takes to travel a specific distance. The travel time increases with increasing porosity. The sonic log can be expressed using Wyllie's time-average equation:
Porosity = (sonic log reading - matrix reading) / (fluid reading - matrix reading)
In summary, neutron logs measure hydrogen content, density logs measure bulk density, and sonic logs measure travel time of sound waves. These measurements can be used to calculate porosity using the respective equations provided.

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Line passing through AB is perpendicular. A pair of angles that are linear have an angle sum of 180 degrees. The lines are therefore shown to be perpendicular to one another because the angles are 90 degrees in size.

Two lines intersect to generate perpendicular lines, and the angle formed between the two lines must be 90 degrees (right angle).

Given,

Create another line perpendicular to AB passing through C on AB..

Line passing through AB is perpendicular.

Two lines are perpendicular if they cross at a point where a pair of linear congruent angles results. In a plane, a transversal is perpendicular to the other line if it is parallel to one of the two parallel lines.

A pair of angles that are linear have an angle sum of 180 degrees. The lines are therefore shown to be perpendicular to one another because the angles are 90 degrees in size. The linear pair perpendicular theorem is demonstrated by this.

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The horizontal distance between the base of the ladder and the wall is approximately 16.06 feet.

To find the flat distance between the foundation of the  stool and the wall, we utilize geometry. For this situation, we can utilize the sine capability, which relates the contrary side of a right triangle to the hypotenuse and the point inverse the contrary side.

Let x be the flat distance between the foundation of the stepping stool and the wall. Then, utilizing the given point of 64 degrees, we can compose:

sin(64) = inverse/hypotenuse

where the hypotenuse is the length of the stepping stool, which is 18 feet.

Addressing for the contrary side, which is the even distance we need to find, we get:

inverse = sin(64) x hypotenuse

inverse = sin(64) x 18

inverse = 16.06 feet

Accordingly, the even distance between the foundation of the stepping stool and the wall is roughly 16.06 feet.

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Area of a triangle = 1/2 (base x height) Here, we are given the height of the triangle as 10 m; hence, we can use the above formula to determine the base of the triangle.

Area of a triangle = 1/2 (b x 10) Given that we want the base of the triangle, we can rearrange the above equation to obtain the following:

b = (2 x Area of a triangle)/10

Since we do not have the value of the area of the triangle, we will use the Pythagorean theorem to find the third side, which will assist us in determining the area of the triangle.

Pythagorean Theorem states that:

Hence, we can use this theorem to calculate the third side of the triangle. The triangle's hypotenuse is equal to 10m, which is the given height of the triangle.

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Answer:

Its the last one

Step-by-step explanation:

-1/2 y(2y^3+8) is

-1 y^4 + 4 y

(a) The value of Ay can be approximated using the formula Ay = dy * Δx. In part (b) by taking the difference between the exact value of e^(-0.02) and the approximation, and dividing it by the exact value.

(a) To compute dy, we need to find the derivative of g(x) with respect to x. Once we have the derivative, we can substitute the given values x = 0 and Δx = -0.1 to find the corresponding dy. The value of Ay can be approximated using the formula Ay = dy * Δx.

(b) Using differentials, we can approximate e^(-0.02) by considering the linear approximation of the exponential function. The linear approximation states that for small values of Δx, Δy (the change in y) is approximately equal to the derivative of the function evaluated at a specific point, multiplied by Δx. In this case, we have Δx = -0.02. So, we need to find the derivative of e^x, evaluate it at x = 0, and multiply it by Δx to get the approximate change in y. Then, we can compute e^(-0.02) by adding the change in y to the value of e^0. Finally, we can calculate the relative error by taking the difference between the exact value of e^(-0.02) and the approximation, and dividing it by the exact value.

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Answer:

A

Step-by-step explanation:

A fireball

The answer is that condition (D) assures that g has an inverse function.

The second derivative of a function tells us about its concavity, or the direction of its curvature. If the second derivative is always positive, the function is always concave up, meaning it is always increasing at an increasing rate. This guarantees that the function is one-to-one, meaning that every output has a unique input. Therefore, an inverse function exists. The other conditions do not guarantee this, as (A) and (B) only tell us about the slope of the function, and (C) only tells us about the concavity at specific points.

it is important to understand the reasoning behind the solution.

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The required return for a stock with a beta of 2.20, a risk-free rate of 2%, and a market risk premium of 6% is 14.39%.  The correct option is c.

To calculate the required return, we can use the Capital Asset Pricing Model (CAPM), which relates the expected return of a stock to its beta, the risk-free rate, and the market risk premium. The formula for CAPM is as follows:

Required Return = Risk-Free Rate + (Beta × Market Risk Premium)

In this case, the risk-free rate is 2% and the market risk premium is 6%. The beta of the stock is given as 2.20. Plugging these values into the formula, we get:

Required Return = 2% + (2.20 × 6%) = 2% + 13.2% = 15.2%

Therefore, the correct answer is option C: 14.39%.

The CAPM is a widely used model in finance to estimate the required return on an investment. It takes into account the risk-free rate, which represents the return on a risk-free investment such as government bonds, and the market risk premium, which represents the additional return investors expect to receive for taking on the risk of investing in the overall market.

The beta of a stock measures its sensitivity to market movements, and multiplying it by the market risk premium gives us an estimate of the stock's additional required return. By summing this additional return with the risk-free rate, we obtain the required return for the stock.

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Answer:

6

Step-by-step explanation:

Answer:

He will earn $140, my bad miss calculated...

Step-by-step explanation:

Its 140....

Required value of N is 1

This is a problem of simplification which is major part of Algebra.

Some Algebra's formulas:

\({(x + y)}^{2} = {x}^{2} + 2xy + {y}^{2} \\ {(x - y)}^{2} = {x}^{2} - 2xy + {y}^{2} \\ {(x + y)}^{3} = {x}^{3} + 3 {x}^{2} y + 3x {y}^{2} + {y}^{3} \\ {(x - y)}^{3} = {x}^{3} - 3 {x}^{2} y + 3x {y}^{2} - {y}^{3} \\ {x}^{3} + {y}^{3} = {(x + y)}^{3} - 3xy(x + y) \\ {x}^{3} - {y}^{3} = {(x - y)}^{3} + 3xy(x - y) \\ {x}^{2} - {y}^{2} = (x + y)(x - y) \\ {x}^{2} + {y}^{2} = {(x - y)}^{2} + 2xy \\ {x}^{2} - {y}^{2} = {(x + y)}^{2} - 2xy \\ {x}^{3} - {y}^{3} = (x - y)( {x}^{2} + xy + {y}^{2} ) \\ {x}^{3} + {y}^{3} = (x + y)( {x}^{2} - xy + {y}^{2} )\)

Given equation is \( - 3(8 \times N) = - 24\)

We want to Simplify both side.

Multiplying (-3) and (8×N),

-24N = -24

Now we are dividing (-24) by (-24),

N = -24/-24

N = 1

Therefore, required value of N is 1.

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