In the coordinate plane, the point X (2, 2) is translated to the point X (0, 4). Under the same translation, the points Y(-2, 0) and Z (0, 6) are
translated to Y and Z', respectively. What are the coordinates of Y' and Z?

Answer:

59% < 3/5

Step-by-step explanation:

prove me wrong.

Answer:

The answer would be < because 59% < 3/5

Answer:

Step-by-step explanation:

They are not wrong exactly. Their answers are just incomplete. They did not take the factoring process to it's end.

Victoria could pull out another three.

Rebecca could pull out another five.

The answer is 15(y + 2)

Answer:

because:  3(5y + 10)=15y+30 (Distributive property between addition and multiplication )

the same we have  5(3y + 6)=15y+30

Step-by-step explanation:

Answer: 18

Step-by-step explanation:

Given :

A submarine started at the surface of the water and was moving at -15 meters per minute.

The submarine traveled at this rate for 48 minutes before coming to rest on the ocean floor.

To Find :

The change in the submarine position.

Solution :

We need to find the position of submarine position from the surface of water.

Distance travelled =  Speed × Time

Distance travelled = -15 m/min × 48 min

Distance travelled = 720 m

Therefore, the position of submarine is 720 m below the surface of ocean.

Answer:

area = (a + b)² = a² + 2ab + b²

Step-by-step explanation:

let side length = a + b

area of a square = side length × side length

⇒ area = (a + b)²

            = (a + b)(a + b)

            = a² + ab + ab + b²

            = a² + 2ab + b²

The fully expanded expression for the area of a square with sides of length a + b is a² + 2ab + b².

The area of a square is given by the formula: Area = side × side.

In this case, the side of the square is a + b.

Therefore, the expression for the area of the square is:

Area = (a + b) × (a + b).

To fully expand this expression using the distributive property, we'll apply the FOIL method (First, Outer, Inner, Last):

Area = a(a + b) + b(a + b)

= a² + ab + ab + b²

= a² + 2ab + b².

So, the fully expanded expression for the area of a square with sides of length a + b is a² + 2ab + b².

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Hannah's debt-to-equity ratio when her liabilities was $30,000 (excluding her mortgage of $100,000 ) and her net worth is $45,000 is 0.75.

Debt-to-equity ratio is a financial ratio that measures the proportion of total liabilities to shareholders' equity. To calculate the debt-to-equity ratio for Hannah, we need to first calculate her total liabilities and shareholders' equity.

We are given that Hannah has liabilities of $30,000 excluding her mortgage of $100,000. Therefore, her total liabilities are $30,000 + $100,000 = $130,000.

We are also given that her net worth is $45,000. The net worth is calculated by subtracting the total liabilities from the total assets. Therefore, the shareholders' equity is $45,000 + $130,000 = $175,000.

Now we can calculate the debt-to-equity ratio by dividing the total liabilities by the shareholders' equity.

Debt-to-equity ratio = Total liabilities / Shareholders' equity = $130,000 / $175,000 = 0.74 (rounded to two decimal places)

Therefore, Hannah's debt-to-equity ratio is 0.74, which is closest to option 0.75.

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The length of RT is 12 units.

What is length?

Distance is measured by length. Length is a quantity having the dimension distance in the International System of Quantities. Most measuring systems use a base unit for length from which all other units are derived. The metre is the basic unit of length in the International System of Units (SI). The greatest extended dimension of a stationary item is typically believed to be its length. This is not always the case, as it may depend on the location of the item. When there is a basis from which vertical measurements may be made, height is employed. When length is the greatest dimension, width or breadth generally relate to a lesser dimension.

given, RS+ST=RT

or, 9 + x - 1 = 3x

or, 8 + x = 3x

or, 3x - x = 8

or, 2x = 8

or, x = 8/2

or, x=4

Then, the length of RT = 3x = 3.4 = 12 units

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Answer:

nani...

Step-by-step explanation:

Answer:

280000 - $56,000 down - $224,000 mortgage

245500 - $36,825 down - $208,675 mortgage

147200 - $139,850 down - $139,850 mortgage

110000 - $33,000 down - $77,000 mortgage

168000 - $16,800 down - $151,200 mortgage

Step-by-step explanation:

The average number of boys per section in class 8 of Jagruti School is 17.

Average is a value that is obtained by adding all the quantities and then divide them by number of quantities.

The number of students in 8th class of Jagruti High School are shown in the bar graph.

The number of boys in section 8A = 16

Number of boys in section 8B = 20

Number of boys in section 8C = 16

And number of boys in section 8D = 16

To find the average number of boys per section,

The sum of number of boys in all sections = 16 + 20 + 16 + 16 = 68

The average = sum of number of boys / total number of sections

= 68 / 4

= 17

The required average number of the boys in school is 17.

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Step-by-step explanation:

received $4.15 in tips from one table. All of her tips were 4.1500in quarters, dimes and nickels. There

The shift that  are found by the naive string matcher in searching for the pattern is in the text Mississippi are options (b) 1 and (e) 4

The naive string matcher is a simple algorithm for searching a pattern within a text. It works by comparing the pattern with all possible substrings of the text and returning the starting indices of the matches. The algorithm starts by aligning the first character of the pattern with the first character of the text and then checks if all the characters in the pattern match the corresponding characters in the text.

If a mismatch is found, the algorithm moves to the next starting position in the text and repeats the process. The algorithm continues until all possible starting positions in the text have been checked.

Assuming that the pattern being searched is "issi", the shifts found by the naïve string matcher in searching for the pattern in the text "Mississippi" are

shift of 1: "issi" matches at position 1 in the text "Mississippi"

shift of 4: "issi" matches at position 4 in the text "Mississippi"

Therefore, the correct options are (b) 1 and (e) 4

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Answer:

3x-25

Step-by-step explanation:

The transformation that would produce an image with vertices B"(-2, 1), C"(3, 2), D"(0, -1) from the original vertices B(-3,0), C(2, -1), D(-1, 2) is the transformation (x,y) → (X + 1, y + 1).

By applying the transformation (x,y) → (X + 1, y + 1), each point's x-coordinate is shifted one unit to the right (X = x + 1), and each point's y-coordinate is shifted one unit upward (Y = y + 1). This results in the image with the given coordinates B"(-2, 1), C"(3, 2), D"(0, -1).

The other transformations listed do not match the given image coordinates and would not produce the desired result.

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Answer:

(x, y) → (x, −y) → (x + 1, y + 1)

Step-by-step explanation:

Reflect the vertices over the x-axis by applying the transformation (x, y) → (x, -y):

B'(-3, 0) → B'(-3, 0)

C(2, -1) → C(2, 1)

D(-1, 2) → D(-1, -2)

Translate the reflected vertices by (1, 1):

B'(-3, 0) → B″(-3 + 1, 0 + 1) → B″(-2, 1)

C(2, 1) → C″(2 + 1, 1 + 1) → C″(3, 2)

D(-1, -2) → D″(-1 + 1, -2 + 1) → D″(0, -1)

So, the correct sequence of transformations is:

(x, y) → (x, -y) → (x + 1, y + 1)

(Image provided for more proof)

Answer:

#3

Step-by-step explanation:

You can tell if a table is linear, if the slope is constant within the graph. #3 is the only option that has a constant slope. In the others, if you pick different points from that same table the slope changes. That is how you know that is not a linear function.

A linear equation is an equation in which each term has at max one degree. The table that represents a linear function is Table 3. Thus, the correct option is 3.

A linear equation is an equation in which each term has at max one degree. Linear equations in variables x and y can be written in the form

y = mx + c

Linear equation with two variables, when graphed on a cartesian plane with axes of those variables, gives a straight line.

For the table to represent a linear function, the function must have a constant slope between any two points.

For the third table, the slope between the first two points is,

\(m = \dfrac{(- 10 + 2)}{(2 - 1)}\)

\(m = - 8\)

The slope between the last two points is,

\(m = \dfrac{(- 18 + 10)}{(2 - 1)}\)

\(m = - 8\)

Hence, the table that represents a linear function is Table 3. Thus, the correct option is 3.

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Answer:

480 and 481

Step-by-step explanation:

2 conservative

let's say the first number is x

the second number is x+1

so x + (x+1) = 961

2x + 1 = 961

2x = 960

x = 480

the first number is x , so it equals 480

the second number is x+1, so it equals 481

Check the picture below.

so the area of it, is really the area of a 16x16 square and four triangles with a base of 16 and a height of 15.

\(\stackrel{ \textit{\LARGE Areas}}{\stackrel{ square }{(16)(16)}~~ + ~~\stackrel{ \textit{four triangles} }{4\left[\cfrac{1}{2}(16)(15) \right]}}\implies 256~~ + ~~480\implies \text{\LARGE 736}~cm^2\)

Step-by-step explanation:

\((A-B) = ( - 2, \: - 2, \: - 2, \: - 2)\)

The option (I) and (II) are correct about the statements on the y-axis .

A line that is used to take or mark measurements is known as an axis in mathematics. Two crucial lines in the coordinate plane are the and y-axis.

The x-axis is represented by a horizontal number line, and the y-axis by a vertical number line.

The coordinate plane's x and y axes are two of its most important axes. The x-axis is represented by a horizontal number line, and the y-axis by a vertical number line. The perpendicular intersection of these two axes yields the coordinate plane.

Option (I) and Option (II) are the proper choices based on the available facts.

As a result, both options (I) and (II) are accurate, meaning

A vertical number line that runs through the origin is the y-axis. At this location, the y-axis crosses the x-axis.

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Answer:

1=3

2=10.5

3=2

4=8

5=4

6=9

7=9

8=7

9=5

Answer: The correct answer is b

Step-by-step explanation:

25% off $30 is 22.50 and then when you add 7%ax it turns out to be 24.08

It would be ideal to utilise a piece of software or an internet calculator created especially for calculating the Moody friction factor. This will produce a result that is more precise and effective.

How to find?

To find the approximate Moody friction factor, you can use the Colebrook equation, which relates the friction factor (f) to the Reynolds number (Re), pipe roughness (ε), and pipe diameter (D).

The equation is:

\(1 / sqrt(f) = -2 * log10((ε / (3.7 * D)) + (2.51 / (Re * sqrt(f))))\)

First, convert the pipe diameter from cm to meters by dividing by 100:

D = 10 cm / 100

= 0.1 m

Next, plug in the given values into the Colebrook equation and solve for the friction factor:

\(1 / sqrt(f) = -2 * log10((0.06 mm / (3.7 * 0.1 m)) + (2.51 / (250,000 * sqrt(f))))\)

Rearrange the equation to solve for sqrt(f):

\(sqrt(f) = 1 / (-2 * log10((0.06 mm / (3.7 * 0.1 m)) + (2.51 / (250,000 * sqrt(f)))))\)

Square both sides to solve for f:

\(f = (1 / (-2 * log10((0.06 mm / (3.7 * 0.1 m)) + (2.51 / (250,000 * sqrt(f))))))^2\)

Using an iterative method or a calculator, you can approximate the value of f.

However, since the calculation involves an iterative process, it can be quite complex to solve manually.

Therefore, it would be best to use a software or online calculator specifically designed to solve for the Moody friction factor. This will give you a more accurate and efficient result.

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After performing the iterations, we find that the approximate Moody friction factor (f) is approximately 0.022.

The Moody friction factor is a dimensionless parameter used to describe the flow characteristics of fluid in a pipe. To determine the approximate Moody friction factor, you can use the Colebrook equation:
1/√f = -2log10((ε/D)/3.7 + 2.51/(Re√f))
Where:
f is the Moody friction factor,
ε is the pipe roughness,
D is the pipe diameter,
Re is the Reynolds number.
Given:
Pipe diameter (D) = 10 cm = 0.1 m,
Reynolds number (Re) = 250,000,
Pipe roughness (ε) = 0.06 mm = 0.00006 m.

Let's substitute these values into the Colebrook equation and solve for f:
1/√f = -2log10((0.00006/0.1)/3.7 + 2.51/(250,000√f))
Now, we need to solve this equation iteratively because the friction factor appears on both sides of the equation. We can use a numerical method called the Newton-Raphson method to solve for f.
Let's start by assuming an initial value for f, let's say f = 0.02. We'll use this initial value to calculate the left side of the equation:
1/√0.02
By substituting this into the right side of the equation, we can solve for the new value of f:
-2log10((0.00006/0.1)/3.7 + 2.51/(250,000√0.02))
We continue this iteration until we reach a convergence point, where the new value of f is very close to the previous value.

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Answer: 1320 ways

Step-by-step explanation:

In this scenario, 12 finalists are eligible for the money draw and no finalist can win more than one prize.

So for the 1st prize we have 12 finalists

For the 2nd prize we have 11 finalists

And finally, for the 3rd prize we have 10 finalists

Using the multiplication principle:

Total number of ways = 12 x 11 x 10

= 1320

Therefore, there are 1320 ways the first, second, and third prizes be awarded

Answer:

Step-by-step explanation:

(a) and (b) see diagram

(c) you can see from the graph, the purple line hits the parabola twice which is y=6   or k=6

(d)  Solving simultaneously can mean to set equal

6x - x² = k                        >subtract k from both sides

6x - x² - k = 0                  >put in standard form

- x² + 6x - k = 0               >divide both sides by a -1

x² - 6x + k = 0

(e) The new equation is the same as the original equation just flipped (see image)

(f)  The discriminant is the part of the quadratic equation that is under the root. (not sure if they wanted the discriminant of new equation or orginal.  I chose new)

discriminant formula = b² - 4ac

equation:   x² - 6x + 6 = 0            a = 1      b=-6    c = 6

discriminant = b² - 4ac

discriminant= (-6)² - 4(1)(6)

discriminant = 36-24

discriminant = 12

Because the discriminant is positive, if you put it back in to the quadratic equation, you will get 2 real solutions.

Answer:

Step-by-step explanation:

5). Triangle DEF is an equilateral triangle.

Therefore, measure of all sides and the angles of the triangle will be equal.

DE = EF = DF = 5.2 ft

3y + 1 = 5.2

3y = 5.2 - 1

3y = 4.2

y = 1.4

Similarly, m∠D = 60° [Measure of all angles of an isosceles triangle = 60°]

(5x)° = 60°

x = \(\frac{60}{5}\)

x = 12

6). Property to be used in ΔFGH,

"Two sides of an isosceles triangle are equal in measure and opposite angles of the equal sides of the triangle are equal"

FG = GH

3y = 12.9

y = 4.3

m∠F = m∠H

4x = 44

x = 11

Answer:

99

Step-by-step explanation:

11 and 9 are the smallest dimensions. Multiply them and you get 99.

The two column proof is completed by

Statement                                            Justification

1. DE || KL                                        1. Given

2. < DFE ≅ < LF-K                            2. Vertical Angles Theorem

3. < DEF ≅ < LKF                            3. Alternate Interior Angles Theorem

4. Δ FDE ≅ Δ FLK                           4. AAS postulate

According to the AAS Postulate, triangles are congruent if two angles and the non-included side of one triangle are congruent with two angles and the non-included side of another triangle.

In the given problem the side is non included and the angels are congruent and hence completes the proof

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Answer:

\(54.5 \: ft^2 \)

Step-by-step explanation:

Area of the figure = Area of rectangle + Area of both triangles

\(= 11\times 4 +\frac{1}{2} \times 3 \times 4 +\frac{1}{2} \times 3 \times 3\\=44 + 3\times 2+ 3\times 1.5\\= 44 + 6 + 4.5\\=54.5 \: ft^2\)