William works at a tire shop and earns 6.75% commission on everything he sells. He also earns a base salary of $300 per week. How much will he earn for the week if he sells $5,385 worth of tires?

h=A 6/b or 6 divided b = h

Answer:

5 1/6 hours

Step-by-step explanation:

Add the hours he volunteers

2 5/6 + 2 1/3

Get a common denominator of 6

2 5/6 + 2 1/3*2/2

2 5/6 + 2 2/6

4 7/6

This is an improper fraction

4 6/6 + 1/6

5 1/6

The value  of  x the subject of the formula is 2c(4+a)

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. Mathematical algebraic equations typically have one or more variables.

Equation with Lines

More than one variable may be present in a linear equation. An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation.

Given ,

X/2c = a+4 by simplifying ,

x=2c(4+a)

Therefore the value of x the subject of the formula is 2c(4+a)

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Answer:

( 2,3 )

Step-by-step explanation:

when you reflect something on the y-axis, you are changing the x coordinate to it's opposite and the y coordinate stays the same. so in this case the -2 becomes a 2 and the 3 stays the same.

  The ant's entire distance travelled along its semicircular journey is its total distance travelled overall. The ant is travelling around a circle with radius R, thus the distance it has travelled is equal to half of the circle's circumference, πR.

The change in the ant's position is represented by a vector quantity called the displacement of the ant. The ant in this scenario begins at one end of the semi-circular path and moves 2R away from the beginning point to reach the other end. The direction of the displacement vector is from the starting point to the ending point, and the displacement's magnitude is equal to the 2R distance between the two points.

    So, the option c is most suitable option.

Therefore, πR and 2R are the ant's displacement and the distance travelled, respectively.

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Answer:

\(100x^2-4\pi x^2\)

Also can be said as:

\(4x^2(25-\pi )\)

Step-by-step explanation:

The question is asking you, "how much is left over."

In this scenario, you're going to have to subtract the area of the pool (P) from the total area of the backyard (B), which will leave you with the remaining area of the backyard (x).

This means your equation to solve this question is:

\(x=B-P\)

The value of B is the area of the backyard.

We are told that the backyard is a rectangular shape. So, we can use the formula of finding the area of a rectangle.

The formula is \(B=L*W\), where L is the length and W is the width.

Both the length and width are 10x, so we must plug that into this equation.

We end up getting:

\(B=10x*10x\)

Which can be simplified to:

\(B=100x^2\)

The value of P is the area of the pool.

The pool is a circular shape. So, to get the area of it, we must use the formula of finding the area of a circle.

The formula is \(P=\pi r^2\), where r is the radius.

Plugging in the radius of 2x, we get:

\(P=\pi (2x)^2\)

By solving this out, we end up with:

\(P=4\pi x^2\)

From the scenario, we have the equation:
\(x=B-P\)

And from steps 1 and 2, we have the values:

\(B=100x^2\) and \(P=4\pi x^2\)

Now we just plug those values in to get:

\(x=100x^2-4\pi x^2\)

And finally, the amount of the backyard remaining is:

\(100x^2-4\pi x^2\)

This answer may be simplified to:

\(4x^2(25-\pi )\)

Answer:

Ok, but you needed to read in the reason section : definition of complementary angles.

Step-by-step explanation:

Answer:

it's rise/run 3/2

Step-by-step explanation:

you rise positive 3 and run 2

Answer:

Step-by-step explanation:

(x₁ , y₁) = (3,-1)   &(x₂,y₂) = (-8, 0)

\(Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{0-[-1]}{-8-3}\\\\=\frac{0+1}{-11}\\\\=\frac{1}{-11}\\\\=\frac{-1}{11}\)

To calculate the value of X that Ellen should deposit in the bank, we need to determine the present value of the future payments that will accumulate to $50,000 in six years.

Using the formula for compound interest, the present value can be calculated as follows:

PV = X/(1 + r)^1 + X/(1 + r)^2 + X/(1 + r)^3,

where r is the annual interest rate (5%) expressed as a decimal.

To find the value of X, we set the present value equal to $50,000 and solve for X:

50,000 = X/(1 + 0.05)^1 + X/(1 + 0.05)^2 + X/(1 + 0.05)^3.

Once we determine the value of X, we can proceed to the next step.

For the second part of the question, after four years, the bank raises the interest rate to 6%.

From year four to year six, Ellen's money will continue to accumulate interest.

To find the amount donated, we calculate the future value of the remaining amount after deducting the down payment of $50,000:

Remaining amount = X/(1 + 0.06)^2 + X/(1 + 0.06)^3 + X/(1 + 0.06)^4.

The donated amount is then the difference between the remaining amount and the total accumulated after six years.

By evaluating these expressions, we can determine the value of X and the amount donated by Ellen.

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Answer:

Paranthesis, Exponents, Multipilication, Division, Addition, Subtraction

Step-by-step explanation:

The way I learned it was by saying a phrase that goes like, "Please Excuse My Dear Aunt Sally". I repeated this many times and it got stuck in my mind ever since.

Answer:

(a)Yes, she would make a profit of $300

(b)4 years

Step-by-step explanation:

The probability distribution table of Claire's profit is presented below.

\(\left|\begin{array}{c|c|c|c|c}$Profit, x&-\$10000&\$0&\$5000&\$8000\\P(x)&0.2&0.4&0.3&0.1\end{array}\right|\)

(a)Expected Profit = (-10000 X 0.2)+(0 x 0.4)+(5000 X 0.3)+ (8000 X 0.1)

=$300

Claire should invest in the company as she is expected to make a profit of $300.

(b)If Claire’s initial investment is $1,200 and the expected value for the new business stays constant

$1200/$300=4

Therefore, it will take her 4 years to earn back her initial investment.

The width of intervals is small but would not be half.

The size, or width, of a class of the interval is the difference between there lower and upper class to the boundaries and is also the referred to as the class of  width, class size, or class length.

To find the width:we have to  Calculate  the range of the entire data set by the  subtracting the lowest point to  from the highest, Divide by  it  the number of classes. Round this number up. It is basically distance from side to side.

According to the question we can get -

E= x- ω/π/√n

100, E= x- ω/π/√100

50,E= x-ω  / π/√50

Thus, x- ω/π/√50 <x- ωπ/√100

It would have been small but is would not have half.

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Answer: It would have been larger, but it would not have doubled.

Step-by-step explanation: took the test

Answer:

i think it is "yes"

Step-by-step explanation:

hope this helps you!

Answer:

The answer is yes.

Step-by-step explanation:

Statistical questions mean there are different responses. and not just one simple answer.

The midpoint of a class is indeed calculated by adding the lower and upper limits of the class and then dividing the sum by two. The statement is true.

This concept is commonly used in statistics and data analysis.

In statistical data, classes are often created to group data points within a range. Each class has a lower limit and an upper limit, defining the range of values it encompasses. The midpoint is a representative value within the class that provides a measure of its central tendency.

To calculate the midpoint, the lower and upper limits of the class are added together, resulting in the total range of the class. Dividing this sum by two gives the midpoint. It is important to note that the midpoint is not necessarily an actual data point; rather, it is a statistical measure used to represent the central value within a class.

For example, suppose we have a class with a lower limit of 10 and an upper limit of 20. Adding these values gives us 30, and dividing by two yields a midpoint of 15. This means that, for the purposes of analysis, we can consider the midpoint of the class as 15.

By calculating midpoints for each class in a data set, statisticians can summarize and analyze data in a more manageable and meaningful way. Midpoints help provide a sense of the central tendencies and distributions within the data, facilitating further statistical analysis and interpretation.

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Answer:

y=1/3x-5

Step-by-step explanation:

when it is perpendicular you just flip the -3x and he its reciprocal  

Answer:

n-20=5

Step-by-step explanation:

When it doesn't give you a number use a variable like n or m.

Answer:

You didn't provide any choices or options to pick from but here are the possible answers is:

- Encourage the use of the incentive spirometer every 2 hours

-Instruct to splint incision when coughing and deep breathing.

-Reposition the client every 2 hours

-Assist with early ambulation.

Step-by-step explanation:

Hope I could help!

In the plan of care to prevent postoperative atelectasis, interventions should not include the use of tobacco products or exposure to secondhand smoke.

The nurse should include several interventions in the plan of care to prevent postoperative atelectasis, but there are specific interventions that should not be included. Atelectasis is the partial or complete collapse of the lung, and preventing it is crucial after surgery. Here are some interventions that should be included:

Incentive Spirometry: The nurse should encourage the client to use an incentive spirometer to promote deep breathing and lung expansion.

Early Ambulation: Encouraging the client to get out of bed and walk as soon as possible after surgery helps improve lung function.

Pain Management: Adequate pain control measures should be in place to ensure the client can take deep breaths without discomfort.

Coughing and Deep Breathing Exercises: The nurse should teach and encourage the client to perform regular coughing and deep breathing exercises to clear the airways and prevent mucus buildup.

Positioning: Proper positioning, such as elevating the head of the bed, can aid lung expansion.

What should not be included in the plan of care is the use of tobacco products or exposure to secondhand smoke, as smoking and smoke exposure are detrimental to lung health and can worsen atelectasis. These should be strictly avoided to prevent postoperative complications.

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Answer:

The most precise name for quadrilateral ABCD with vertices A(-3, 2), B(-1, 4), C(4, 4), and D(2, 2) is a parallelogram.

To see why, we can use the slope formula to find the slope of each side of the quadrilateral. If opposite sides of a quadrilateral have the same slope, then it is a parallelogram.

Slope of AB: (4 - 2) / (-1 - (-3)) = 2/2 = 1

Slope of CD: (2 - 4) / (2 - 4) = -2/2 = -1

Slope of BC: (4 - 4) / (-1 - 4) = 0/-5 = 0

Slope of AD: (2 - 2) / (-3 - 2) = 0/-5 = 0

We can see that the slopes of AB and CD are equal, and the slopes of BC and AD are equal. Therefore, ABCD is a parallelogram.

While it is also true that the opposite sides of this parallelogram are equal in length, we cannot say that it is a rhombus because the diagonals are not perpendicular. We also cannot say that it is a rectangle because the angles are not all right angles. Therefore, the most precise name for this quadrilateral is a parallelogram.

Step-by-step explanation:

The velocity of the ball at t = 2 is as follows: v(2) = lim t→2 (−16t14)(t − 2) /(t − 2) = -224.

A limit is a mathematical concept that represents the value a function or sequence approaches as the input or index approaches some value or approaches infinity or negative infinity. It may be a single real number or ± infinity, depending on the behavior of the function around the limit point.

Here are the steps for evaluating a limit by factoring:

1: Use algebraic techniques to simplify the expression and cancel out any common factors.

2: Substitute the limiting value of the function. Use direct substitution if possible.

3: If the denominator equals zero after substitution, factor the numerator and denominator, then cancel out any common factors.

4: Use the properties of limits to simplify the expression and evaluate it.

The velocity of the ball at t = 2 is as follows: v(2) = lim t→2 (−16t14)(t − 2) /(t − 2) = -224.

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a.) The probability that Ben is ruined is 0.07776, or approximately 7.78%

b.) The probability that Jerry is ruined is 0.064, or approximately 6.4%

a. To find the probability that Ben is ruined, we need to calculate the probability of Jerry winning all the remaining games.
Ben starts with $9 and Jerry starts with $6. In order for Jerry to wipe out Ben, he needs to win at least $9 from Ben.
Let's consider the scenario where Ben loses all his remaining money, one game at a time.
For Ben to lose $9, Jerry needs to win at least 5 games in a row.
The probability of Jerry winning a game is 0.6. So, the probability of Jerry winning 5 games in a row is 0.6^5 = 0.07776.
Therefore, the probability that Ben is ruined is 0.07776, or approximately 7.78%.

b. To find the probability that Jerry is ruined, we need to calculate the probability of Ben winning all the remaining games.
For Jerry to be ruined, Ben needs to win at least $6 from Jerry.
Let's consider the scenario where Jerry loses all his remaining money, one game at a time.
For Jerry to lose $6, Ben needs to win at least 3 games in a row.
The probability of Ben winning a game is 0.4 (since Jerry wins with a probability of 0.6). So, the probability of Ben winning 3 games in a row is 0.4^3 = 0.064.
Therefore, the probability that Jerry is ruined is 0.064, or approximately 6.4%.

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The row of the table that reveals the x-intercept of the function f is given as follows:

Second row.

A function has two intercepts, which are listed as follows:

The definition of each type of intercept is given as follows:

From the second row of the table, we have that when x = -4, f(x) = 0, hence the x-intercept of the function is of x = -4.

The y-intercept is of y = -16, as from the fourth row, when x = 0, y assumes a value of 16.

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Answer:21 right and 1 wrong

Step-by-step explanation:

2100/100=21

The two mathematical equations representing Leona's score in the trivia game and the total number of questions she answered are: 100C - 25I = 2125 and C + I = 30. C and I denote the number of correctly and incorrectly answered questions, respectively.

In order to create a mathematical equation that illustrates Leona's score, we will denote the number of correctly answered questions as C and the number of incorrectly answered questions as I. With every correct answer, Leona scores 100 points, and she loses 25 points for every wrong one.

Therefore, 100C represents the total points scored from correct answers and 25I represents the total points lost from incorrect answers. Since the total score is equal to the sum of the points gained from correct answers minus the points lost from incorrect answers, the equation can be written as:

100C - 25I = 2125

Additionally, since we know that the total number of questions Leona answered is 30, the second equation to solve this system would be:

C + I = 30

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You have the correct answer. Apply a 180 degree rotation around the point (0,2)

Reason:

We'll connect corners between figures A and B.

Draw a line from the upper right corner of figure A to the lower left corner of figure B. This line is in red (see diagram below).

Draw another line from the lower right corner to the upper left corner. This line is in blue.

The red and blue lines intersect at the center of rotation (0,2)

The line segments constructed consist of endpoints of "before" and "after". For instance, the upper right corner in figure A rotates to the lower left corner of figure B. This happens because of the 180 degree rotation.

Note: You can do this rotation either clockwise or counterclockwise, and you would get the same result.

Answer:

i dont know.

Step-by-step explanation:

pls make it brainliest

In constructing 95% confidence intervals for the difference in means, we expect that, over the long run, the correct answer will be option A, i.e., % of the time, the difference in population means will fall inside the confidence interval.

Confidence intervals are a statistical tool used to estimate population parameters based on sample data. In constructing a 95% confidence interval, we expect that in 95% of all possible samples, the true population parameter will fall within the calculated interval. In other words, if we were to repeat the sampling process many times and construct a confidence interval for each sample, we would expect that about 95% of these intervals would contain the true population parameter. Therefore, we can say that there is a 95% probability that the true population parameter lies within the calculated interval. For the difference in means, this means that there is a 95% chance that the true difference in population means falls within the confidence interval, and only a 5% chance that it falls outside the interval.

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Answer:

3.5 is the scale factor

Step-by-step explanation:

49/14 = 3.5

If the signal is s(t) = (2 + 5 sin(3t +π))cos(4t), then the signal decomposed into a linear combination is s(t) = (1/2){sin(7t) + sin(-t)} + (1/2){sin(t) + sin(-7t)} + 2 cos(4t) sin(3t + π), the first component has amplitude 1/2, frequency 7, and phase 0, the second component has amplitude 1/2, frequency 7, and phase π/3 and the third component has amplitude 2, frequency 3, and phase π.

To decompose the given signal into a linear combination of sinusoidal functions and to find the amplitude, frequency and phase of each component, follow these steps:

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Answer:

it is called A ROLLING !

Step-by-step explanation:

Answer:

rolling

Step-by-step explanation: