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The coordinates of equation y is (0, 3), (1, 4) and (3,5).

The graph is attached below.

The graph's x-axis (horizontal line) should contain the independent variable, and the y-axis should contain the dependent variable (vertical line). At the origin, where the coordinates are, the x and y axes intersect (0,0).

Given:

y= x+ 3.

Now, put x= 0

y= 0+3

y=3

and, x= 1

y= 1+3

y= 4

and, x= 2

y= 2+ 3

y= 5

Thus, the coordinates of equation y is (0, 3), (1, 4) and (3,5).

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The Questions attached here is seems to incomplete, the options for the graph is attached below.

The statement that best describes Lucia's claim is at option (b), that is " Lucia's claim is incorrect since not all the rotations that are multiples of 45° carry a square onto itself".

It is given that, Lucia draws a square and plots the center of the square.

Lucia claims that " any rotation about the center of the square that is a multiple of 45° will carry the square onto itself".

To verify this claim, we need to construct a square (ABCD) as shown in the figure.

When the square ABCD is rotated about 45° where we can it is 1 × 45°, the square formed is A'B'C'D' is not the same as the actual one. So, they are not in symmetry after the rotation n this case.

If we rotate again, that is for the second multiple of 45° (2 × 45°), we get a square A''B''C''D''. But, now the square is similar to the actual one. So, they are in symmetry.

This means we can say that, not for all the multiples of 45° rotation, the square does not carry onto itself.

Therefore, we can conclude that "Lucia's claim is incorrect since not all rotations that are multiples of 45' carry a square onto itself".

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Douglas McGregor believed that the Theory X assumptions were appropriate for traditional and authoritarian organizations.

Theory X is a management theory developed by Douglas McGregor, a management professor, and consultant. It is based on the idea that individuals dislike work and will avoid it if possible. As a result, they must be motivated, directed, and controlled to achieve organizational goals. The assumptions of Theory X are as follows:

Employees dislike work and will try to avoid it whenever possible. People must be compelled, controlled, directed, or threatened with punishment to complete work. Organizations require rigid rules and regulations to operate effectively. In conclusion, Douglas McGregor believed that Theory X assumptions were appropriate for traditional and authoritarian organizations.

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Salut/Hello!

Answer: 20 ft

Step-by-step explanation:
We can imagine the ladder, wall and ground as a triangle.
(And because we don't know if our triangle has a 90 degrees angle it means it's an ordinary triangle.)

We know that a triangle that has an angle with 60 degrees means all of its angles have 60 degrees because 180 : 3 angles = 60 degrees which means the triangle is equilateral.

Definition of the equilateral triangle: The triangle that has the 3 side with the exact same length.


From the equilateral triangle we know all sides are equal. If the ladder is 20 ft that means the distance between the building and the base of the ladder (which is actually the base of our triangle) is 20 ft.

I hope it was useful! :]

The altitude to the legs is 5 centimeters. The area of the triangle is approximately 21.651 square centimeters. The perimeter of the triangle is 54.641 centimeters.

Let be both \(l\) and \(\theta\) the length of the legs, in centimeters, and the angle between the legs, in sexagesimal degrees. The altitude and the base of the triangle (\(h, b\)) are, respectively:

\(b = 2\cdot l \cdot \sin 0.5\theta\) (1)

\(h = l\cdot \cos 0.5\theta\) (2)

The area (\(A\)), in square centimeters, and perimeter of the triangle (\(p\)), in centimeter are expressed by these formulas:

\(A = 0.5\cdot l^{2}\cdot \sin 0.5\theta \cdot \cos 0.5\theta\) (3)

\(p = 2\cdot l + b\) (4)

If we know that \(l = 10\,cm\) and \(\theta = 120^{\circ}\), then the altitude to the legs, the area and the perimeter of the triangle are, respectively:

Altitude to the legs

\(h = (10\,cm)\cdot \cos 60^{\circ}\)

\(h = 5\,cm\)

The altitude to the legs is 5 centimeters.

Area

\(A = 0.5\cdot (10\,cm)^{2}\cdot \sin 60^{\circ}\cdot \cos 60^{\circ}\)

\(A \approx 21.651\,cm^{2}\)

The area of the triangle is approximately 21.651 square centimeters.

Perimeter

\(b = 2\cdot (10\,cm)\cdot \cos 60^{\circ}\)

\(b = 34.641\,cm\)

\(p = 34.641\,cm + 2\cdot (10\,cm)\)

\(p = 54.641\,cm\)

The perimeter of the triangle is 54.641 centimeters.

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Answer: it takes about 5.42 minutes to pump in 50 gallons

Answer:

23

Step-by-step explanation:

Check the picture below.

The power of the test to detect an average increase in height of 1 inch could be increased by d. giving the drug to 25 randomly selected students instead of 50.

The power of a test is the probability of correctly rejecting the null hypothesis when it is false. In this case, the null hypothesis is that the drug does not cause people to grow taller, and the alternative hypothesis is that the drug causes an average increase in height of 1 inch.

To increase the power of the test, we want to increase the probability of correctly rejecting the null hypothesis when it is false. One way to do this is to increase the sample size, which will reduce the standard error of the mean and increase the t-statistic, making it more likely to reject the null hypothesis.

However, in this case, we can increase the power of the test by giving the drug to a smaller sample size of 25 instead of 50. This is because the effect size of the drug is not known, and giving the drug to a larger sample size will increase the variance of the data, making it harder to detect a significant difference. By reducing the sample size, we can increase the power of the test while still maintaining a reasonable sample size.

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The sum of the roots of the quadratic equation x² - 5x + 6 = 0 is 5, and the product of the roots is 6.

To find the sum and product of the roots, we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

In the given equation, a = 1, b = -5, and c = 6. Substituting these values into the quadratic formula, we get:

x = (5 ± √((-5)² - 4(1)(6))) / (2(1))

x = (5 ± √(25 - 24)) / 2

x = (5 ± √1) / 2

Simplifying further, we have:

x = (5 ± 1) / 2

This gives us two possible values for x:

x₁ = (5 + 1) / 2 = 6 / 2 = 3

x₂ = (5 - 1) / 2 = 4 / 2 = 2

The sum of the roots is x₁ + x₂ = 3 + 2 = 5.

The product of the roots is x₁ * x₂ = 3 * 2 = 6.

Therefore, the sum of the roots is 5, and the product of the roots is 6 for the quadratic equation x² - 5x + 6 = 0.

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Woody Guthrie wrote most of his songs about the topic of social and political issues in America.

Woody Guthrie, a renowned American folk singer-songwriter, is best known for his songs that focus on social and political issues in the United States.

Throughout his career, Guthrie wrote extensively about topics such as worker's rights, economic inequality, the Great Depression, labor movements, and the plight of common people. His songs often expressed solidarity with marginalized groups and advocated for social justice.

Guthrie's lyrics reflected the experiences and struggles of everyday Americans, giving voice to their concerns and aspirations. His music became a powerful medium to address societal issues and bring attention to the hardships faced by many.

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Answer:

Step-by-step explanation:

We can find out by using synthetic division and the fact that x - 9 Might be a 0. If x = 9 is a 0 of that polynomial, then we will get no remainder when we divide the polynomial by 9:

9 |   1     -5     7

____________

First thing to do is bring down the 1 and multiply it by the 9 and put that product up under the -5:

9 |  1     -5     7

______9____

     1

Now add down the column to get:

9 |  1   -5    7

_____9____

     1    4

Now multiply 4 by 9 and put that product up under the 7:

9 |   1    -5     7

______9__36

      1     4

Now add to see what the remainder is:

9 |   1     -5     7

_______9_36

      1      4    R43

we have a remainder of 43. Since it is not a 0, then the polynomial is not evenly divisible by x - 9.

So the answer is No.

1) The x-intercept lies at (1, 14), and the y-intercept lies at (3, 42).

2) This means that after 3 cuts, the length of the string is 33 inches.

3) Therefore, the 42-inch string can be cut into 14 pieces of 3 inches each.

The x-intercept is the point on the graph where a line crosses the x-axis.

The y-intercept is the point on the graph where a line crosses the y-axis.

The x- and y-intercepts are the coordinate points for graphing data.

Thus, the x- and y-intercepts are coordinate points where the graph of a function or an equation touches the two axes.

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Answer:

8x + 4

Step-by-step explanation:

You just gotta distribute 4(2x+1) and it gives you the expression 8x + 4

Answer:

---------------------------------------------

n is an odd integer, let n = 2m + 1

Then

A scalene triangle is a triangle with three different side lengths and three different angle measurements.

All of the sides of the triangle known as the Scalene Triangle are of various lengths. It indicates that all three angles and all three sides of a scalene triangle are of different sizes. According to sides, there are three different kinds of triangles.

We'll go over its definition, formulas for its area and perimeter, and its characteristics. The sides and angles of the triangles are used to define them. A triangle is represented as a three-sided polygon in geometry and is a closed, two-dimensional plane object having three sides and three angles. There are three edges and three vertices on it.

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9514 1404 393

Answer:

  x = 4

Step-by-step explanation:

I like to put these in the form f(x) = 0. We can do that by subtracting the right side. Common factors can be cancelled from numerator and denominator, provided they are not zero.

  \(\dfrac{7}{x+3}+\dfrac{3}{x-3}-\dfrac{x}{x-3}=0\\\\ \dfrac{7(x-3)+(x+3)(3-x)}{(x+3)(x-3)}=0\\\\\dfrac{(x-3)(4-x)}{(x-3)(x+3)}=0\\\\ \dfrac{4-x}{x+3}=0\qquad x\ne3\\\\x=4 \qquad\text{equate the numerator to zero, add $x$}\)

_____

If you leave the numerator as (x-3)(4-x), then there are two values of x that make it zero. Because x=3 makes the equation "undefined", it cannot be considered to be a solution.

Answer:

The original price is $40.00.

Step-by-step explanation:

I am not sure what that given equation is.

But here is the correct answer and steps.

The marked down price is 75% of the original price.

The final price is 90% of the marked down price.

Lets say

\(T\) = Final Price

\(O\) = Original Price

We can write

\(T=(0.75*O)*(0.9)\)

Multiply \(0.9\) by \(0.75\).

\(T=0.675*O\)

We are given the final price. Lets substitute 27.00 for \(T\).

\(27.00=0.675*O\)

Divide both sides of the equation by \(0.675\).

\(40.00=O\)

The equation in vertex form is y = 2(x+3)² + 1. The vertex is (-3,1), the axis of symmetry is x = -3, and the direction of opening is upwards.

The vertex form of the equation is y = a(x-h)^2 + k, where (h, k) is the vertex. The axis of symmetry is x = h, and the direction of opening is determined by the value of a.

Using this formula, let us write each equation in vertex form and then identify the vertex, axis of symmetry, and direction of opening.

1. y = x² + 8x + 18

To write this equation in vertex form, we need to complete the square. y = x² + 8x + 18 is equivalent to y = (x+4)² - 2. Therefore, the equation in vertex form is y = (x+4)² - 2.

The vertex is (-4,-2), the axis of symmetry is x = -4, and the direction of opening is upwards.2

. y = -x² - 12x - 36To write this equation in vertex form, we need to complete the square. y = -x² - 12x - 36 is equivalent to y = -(x+6)² - 12. Therefore, the equation in vertex form is y = -(x+6)² - 12.

The vertex is (-6,-12), the axis of symmetry is x = -6, and the direction of opening is downwards.3. y = 2x² + 12x + 13To write this equation in vertex form, we need to complete the square. y = 2x² + 12x + 13 is equivalent to y = 2(x+3)² + 1.

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Step-by-step explanation:

8in is the answer of above questions.

Answer:

3/20

Step-by-step explanation:

By question it's given that ,

\(\implies \dfrac{a}{b}=\dfrac{2}{5}\)

\(\implies \dfrac{b}{c}=\dfrac{3}{8}\)

And we need to find out the value of a/c .For that Multiply both of them , we have ;

\(\implies \dfrac{a}{b} \times\dfrac{b}{c}=\dfrac{2}{5}\times \dfrac{3}{8} \\\\\implies \dfrac{a}{c}= \dfrac{3}{20}\)

Hence the required answer is 3/20 .

Answer:

The slope is 0

Step-by-step explanation:

All y-values are equal to 5 meaning the graph is a straight horizontal line. Slope is the rate at which a graph increases or decreases. Seeing as this graph doesn't do so, the slope is 0.

Answer:

Umm I wann say 18 because 18+18=36

Step-by-step explanation:

Applying the inscribed angle theorem, the measure of the size of angle ∅ = 85 degrees.

If an inscribed angle in a circle is subtended by an arc, the inscribed angle theorem states that the measure of the intercepted arc would be twice the measure of the inscribed angle.

Therefore, we have:

measure of arc DF = 2(31) = 62 degrees [inscribed angle theorem]

measure of arc BD = 2(54) = 108 degrees.[inscribed angle theorem]

∅ = 1/2(measure of arc BDF) [inscribed angle theorem]

∅ = 1/2(m(DF) + m(BD))

Substitute:

∅ = 1/2(62 + 108)

∅ = 1/2(170)

∅ = 85 degrees.

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Answer:

See below

Step-by-step explanation:

Answer:

= -8

Step-by-step explanation:

2(-2)+3(-3)+5

first solve the brackets

-4 -9 +5

-13 + 5

= -8

To determine the mean, variance, and standard deviation of the distribution representing the number of credit cards people own, we can use the formulas for these statistical measures. The mean represents the average number of credit cards, the variance measures the spread or variability of the data, and the standard deviation is the square root of the variance

To calculate the mean, we multiply each value of X by its corresponding probability P(x) and sum the results. The variance is calculated by finding the squared difference between each value of X and the mean, multiplying it by the corresponding probability, and summing the results. The standard deviation is the square root of the variance. By performing these calculations, we can determine if the mean is indeed three credit cards and assess the accuracy of the Vice President's claim.

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Based on the question, the forecast revenue in 2017 is $13,642,021.

The completion of the financial model that has the Sales Units and Sales Revenues is given below:

Financial Model (depicting the Sales Units and Sales Revenue)

                                 2014            2015           2016          2017             2018

Sales units           200,000      210,000     237,300    272,895      297,456

Sales Revenue 9,998,000 10,497,900 11,862,627 13,642,021 14,869,825

2. The forecast revenue in 2017 is $13,642,021.

Data and Calculations:

                                             2014     2015       2016         2017       2018

Growth Rate of Units Sold:                  5%         13%           15%          9%

Sales units                       200,000    210,000  237,300  272,895 297,456

Sales Price per unit     = $49.99

Sales Revenue           9,998,000 10,497,900 11,862,627 13,642,021 14,869,825

So we calculate:

The sales revenue = Sales Units x Sales Price per unit.

Therefore, the forecast revenue in 2017 is $13,642,021.

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See full question below

Instructions: Questions 1-4 use the financial model on tab Q1-4 in the Exam Workbook. Complete the model by filling in the blank cells before answering the question below. Answers should be rounded to the nearest whole number, comma separating 000s, NOT written in currency format. So if the answer is $5,505,210.50, you would input 5,505,210. What is forecast Revenue in 2017?

Answer:

The fraction is 3/10 = .3