Please help.
Graph RST with vertices R(4,1), S(7,3), and T(6, 4) and its image after the glide reflection.
Translation: (x,y) →(x, y-1)
Reflection: in the y -axis.

Answer:

1/2 base * height = 16 in^2

1/2 * 8 in * H = 16 in^2

H = 32 in^2 / 8 in = 4 in         Equation # 4

Answer:

Below

Step-by-step explanation:

The solution(s) to a system of equations is where the equations' graphs cross (intersect) ....for this system, that is at -1, -1

The length to the nearest tenth of a meter is, 0.8 meter.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

A pendulum's period in seconds, P, is related to the length of the pendulum in meters, L, by the following equation:

⇒ P = 2√9.8 L

Now, For a pendulum in a grandfather clock has a period of 1.7 seconds , its length is,

⇒ P = 2√9.8 L

⇒ 1.7 = 2√9.8 L

⇒ L = 1.7 / 2×√9.8

⇒ L = 1.7 / 2.26

⇒ L = 0.75

⇒ L = 0.8 meter

Thus, The length is, 0.8 meters.

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A rectangular board is 1300 millimeters long and 800 millimeters wide. Then, the area of the board in square meters is 104 m².

These are the specified parameters:

Length of the board (l) = 1300 mm

Breadth of the board (b) = 800 mm

The area of a rectangular board

A = l × b

  = 1300 mm × 800 mm

  = 1040000 mm²

The area of the board in square meters

To convert mm² to m², divide mm² by 10000.

Therefore

A = 1040000 mm²

  = 1040000 : 10000 m²

  = 104 m²

So, the area of the board in square meters is 104 m².

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The solution is,  Rectangle A has the largest area.

Area of a rectangle (A) is the product of its length (l) and width (w).

A= l. w

here, we have,

from the given figure we get,

Each square is 1 square unit.

now, Rectangle A has 18 square

Rectangle C has 10 squares

Rectangle B has 8 squares

So, area of Rectangle A is 18 sq. unit

Rectangle C is 10 sq. unit

Rectangle B is 8 sq. unit

i.e. 18>10>8

Hence, Rectangle A has the largest area.

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The correct answer is option (C). The answer is round function.

Given that,

Instead of just altering what is presented, Excel changes the amount of decimal places it really keeps.

To find : Something alters the real number of decimal places?

Number is rounded using ROUND function to a given number of digits. You can use the following formula, for instance, to round the value 23.7825 in cell A1 to two decimal places: =ROUND(A1,2) (A1,2) is 23.78 is the output of the function

Therefore, option is the right response (C). Round function is the solution.

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Answer:

15√2

Step-by-step explanation:

3[tex]\sqrt{50}[/tex] = 3√25·2 = 3·5√2 = 15√2

The first four terms are 35, 50, 65, 80.

And the recursive formula:

aₙ = aₙ₋₁ + 15

A series of integers called an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms.

Given:

The sequence defined by the explicit formula g(n)=15n + 35

The first term,

g(0) = 0 + 35 = 35.

g(1) = 15 + 35 = 50

g(2) = 30 + 35 = 65

g(3) = 45 + 35 = 80.

The common difference is 15.

The recursive formula:

aₙ = aₙ₋₁ + 15

Therefore, the formula is aₙ = aₙ₋₁ + 15.

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The required equation of the line is y = 5x + 3.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

From the given table we have slope(m) = (3 + 2)/(0 + 1) = 5/1 = 5.

Now, - 2 = 5(-1) + b.

- 2 = - 5 + b.

b = 3.

Therefore, y = 5x + 3 is the required equation of the line.

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Answer:

The amount budgeted for Auto expenses is $100,000 * 14% = $14,000.

Step-by-step explanation:

A regular hexagon can be divided into six equilateral triangles by drawing lines from the center of the hexagon to each of its vertices.

Each of these equilateral triangles has an area that is one-sixth of the total area of the regular hexagon.

When the midpoints of the sides of the regular hexagon are joined to form a smaller regular hexagon, it can be seen that the smaller hexagon is made up of six equilateral triangles, each of which has half the area of the equilateral triangles in the larger hexagon. This is because the sides of the smaller hexagon are half the length of the sides of the larger hexagon.

Therefore, the fraction of the area of the larger hexagon that is enclosed by the smaller hexagon is:

[tex]6 * (1/2)^2 = 6 * 1/4 = 3/2[/tex]

This means that the smaller hexagon encloses 3/2 of the area of the larger hexagon.

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The student's answer is incorrect; they should have distributed the negative sign to the terms in the second parentheses, then combine like terms: 6b 4r - 2b r = 4b + 3r.

The student's answer is incorrect; they should have distributed the negative sign to the terms in the second parentheses. To correctly simplify the expression, first distribute the negative sign, then combine like terms. Start by distributing the negative sign: 6b 4r - 2b r = 6b 4r + (-2b) (-r). Then, combine like terms: 6b 4r + (-2b) (-r) = 6b + (-2b) + 4r + (-r) = 4b + 3r. This is the correct answer.  It is important to note that when subtracting within parentheses, you must distribute the negative sign to each term. Once the negative sign has been distributed, you can then combine like terms. This method can be used to simplify any expression with parentheses and subtractions.

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Answer:

To write equivalent fractions with a common denominator, we need to find the least common multiple (LCM) of the denominators of the fractions and then write each fraction with the LCM as the denominator. Here's a step by step guide:

1. To find the LCM of 3 and 6, we list the multiples of each number and find the smallest one that is common to both:

Multiples of 3: 3, 6, 9, 12, 15, 18, ...

Multiples of 6: 6, 12, 18, 24, 30, 36, ...

The LCM of 3 and 6 is 6, so we write 2/3 and 3/6 with 6 as the denominator:

2/3 = 4/6 and 3/6 = 1/2

2. To find the LCM of 4 and 12, we list the multiples of each number and find the smallest one that is common to both:

Multiples of 4: 4, 8, 12, 16, 20, 24, ...

Multiples of 12: 12, 24, 36, 48, 60, 72, ...

The LCM of 4 and 12 is 12, so we write 3/4 and 5/12 with 12 as the denominator:

3/4 = 9/12 and 5/12 = 5/12

3. To find the LCM of 5 and 10, we list the multiples of each number and find the smallest one that is common to both:

Multiples of 5: 5, 10, 15, 20, 25, 30, ...

Multiples of 10: 10, 20, 30, 40, 50, 60, ...

The LCM of 5 and 10 is 10, so we write 3/5 and 7/10 with 10 as the denominator:

3/5 = 6/10 and 7/10 = 7/10

You can use this process to find the LCM and write equivalent fractions with a common denominator for the rest of the problems.

the answer is 1040

your welcome

The ouput at x = 2 is 3 and the input at y = -1 is 0

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

The graph

On the graph, we have

f(2) = 3

This means that the output is 3

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

The graph

On the graph, we have

f(0) = -1

This means that the input is 0

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Answer:

Below

Step-by-step explanation:

y = 1/2 x + 1

y = 3/2x + 4        Use first equation to sub in for y

1/2 x + 1  = 3/2 x + 4

-3 = x       then use this value in one of the equations to calc  y

y = 1/2 x + 1

y = 1/2 (-3) + 1 =  - 1/2

Answer: function A is linear

Step-by-step explanation:

The five number summary of the data is: 9, 43, 46, 79, 81. It means 50% of the data is between 43 and 79.

The five number summary of a set of data consists of:

In this problem, the five number summary is  9, 43, 46, 79, 81. Hence,

43 is the first quartile, while 79 is the third quartile. We know that quartiles are percentile. Q1 is the 25th percentile, which means 25% of data is below Q1. Similarly, 50% of data is below Q2 and 75% of data is below Q3. Therefore, between 43 and 79 means between Q1 and Q3, there will 75% - 25% = 50%  of data falls in this range.

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According to the question we have (5, 2) isn't a response of the linear equation system because one of equations is erroneous.

Salt water, rub whiskey, and sucrose dissolved in water are a few examples of solutions. When you watch hard after combining salt and water, you can no longer see the sodium chloride, indicating that the combination is uniform.

In chemistry, a solution containing of two or more compounds in their relative proportions. The composition of the solution can be continually changed up to the solubility limit. Although solution of gas and solids are possible, the term "solution" is most frequently used to refer to the liquid condition of matter.

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Using the linear relationship the height of the candle after 17 hours is 22.3 cm.

As it is given that the height of the candle is linear to the amount of time. The linear relationship is the relationship between two variables such that it follows a straight line.

Now, let the time be on the x-axis and the y-axis is the height of the candle. therefore, the slope of the linear relationship can be represented as,

(x₁, y₁) = (7, 23.3)

(x₂, y₂) = (23, 21.7)

Since we know the two points of the linear relationship, therefore, the slope can be written as,

m = (y₂ - y₁)/(x₂ - x₁)

m = (21.7 - 23.3)/(23 - 7)

m = -1.6/16

m = -1/10

Now, the equation of the linear relationship can be written as,

y - y₁ = m( x - x₁)

y - 23.3 = (-1/10)(x - 7)

10y - 233 = -x + 7

x + 10 y = 240          --(1)

We are asked to determine the height of the candle after 17 hours. So, put x = 17 and find y

17 + 10y = 240

10y = 223

y = 22.3

Hence, the height of the candle after 17 hours is 22.3cm.

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The average of any two real numbers is not greater than both of the two numbers, and is less than or equal to at least one of the two numbers.

The proof by contradiction of the theorem begins by assuming the opposite of the theorem, that the average of any two real numbers is greater than both of the two numbers. This can be expressed mathematically as follows:

Let a and b be two real numbers.

Average of a and b = (a + b)/2

Assume that (a + b)/2 > a and (a + b)/2 > b

This can be rewritten as

(a + b)/2 - a > 0  and  (a + b)/2 - b > 0

Subtracting a from both sides of the first equation and subtracting b from both sides of the second equation yields

b - a > 0  and  a - b > 0

Since b - a and a - b are both positive, the two equations cannot be true simultaneously. This is a contradiction and therefore our initial assumption must be false. Therefore, the average of any two real numbers is not greater than both of the two numbers, and is less than or equal to at least one of the two numbers.

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The central angle corresponds to an arc length of 2 yd and a radius of 7 yd is 0.09 pi

Central angle is the angle subtended by an arc of a circle at the center of a circle. The radius vectors form the arms of the central angle. In other words, it is an angle whose vertex is the center of a circle with the two radii lines as its arms, that intersect at two different points on the circle. When these two points are joined they form an arc. Central angle is the angle subtended by this arc at the center of the circle

The central angle is an angle with two arms and a vertex in the middle of a circle. The two arms of the circle's two radii intersect the circle's arc at two separate locations. A circle can be divided into sectors by using the central angle. An excellent illustration of a central angle is a pizza slice. A pie chart is made up of several sectors and is useful for representing various amounts.

Central angle =(s*360)/(2pir)

=we have s=2 yd

radius = 7 yd

angle = 16.5 degree = 0.09 pi

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Answer:

1 2/3 sq ft

Step-by-step explanation:

2/1 x 5/6 = 10/6 = 1 4/6 = 1 2/3

you turn 2 into a fraction 2/1 then multiply by 5/6, then you get 10/6so you simplify and you get the answer 1 2/3

The statistical procedure that researchers use to identify underlying components that may exist in test without first proposing a formal model is exploratory factor analysis.

In order to carry out a statistical analysis, we need to collect and review a sample of the data available in the research results for analysis.

While there is no single way to perform interpretive analysis, there are practices that can be replicated in any research if done in a way that is appropriate to the information provided.

These tips will allow us to carry out useful statistical analysis.

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The expression for the total bill is { (Ap + B) x 0.09 } x 0.10.

Option A is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The cost per person p = $A.

Room charge = $B.

Tax = 9%.

Tip = 10% of the total bill, including tax.

Now,

Total bill.

= { (Ap + B) x 9% } x 10%

9% = 9/100 = 0.09

10% = 10/100 = 0.10%

So,

= { (Ap + B) x 0.09 } x 0.10

Thus,

The total bill is { (Ap + B) x 0.09 } x 0.10.

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Answer:

3rd quadrant

since the x and the y co-ordinates are negative ,it can only fit in the third since

1st=positive, positive

2nd=negative, positive

3rd=negative, negative

4th=positve, negative

Answer:

Step-by-step explanation:

Using the properties of a kite:

Measure of 1, 2, 3 and 4:- each of these = 90 degrees.

Measure of:

5 = 53 degrees.

6 = 27 degrees.

7 = 90 - 27 = 63 degrees.

8 = 90 - 53 = 37 degrees.

9 = m < 7 = 63 degrees.

10 = 90 - 53 = 37 degrees.

A new dog park is enclosed by a fence and shaped like a parallelogram. So, the area and perimeter of the dog park is 2125 m² and 202.5 m.

Pictures can be seen in the attachment.

These are the specified parameters:

Coordinate points in the image = (-8, 0), (5, 5), (9, 0), and (-4, -5).

1 unit = 5 m

The area of the parallelogram of the dog park

Triangular base (b) = (9 - (-8)) × 5 m = 85 m

Triangle height (h) = (0 + 5) × 5 = 25 m

A = 2 × 1/2 × b × h

  = 2 × 1/2 × 85 m × 25 m

  = 2125 m²

Perimeter of the dog park

The line a goes through the point (-8, 0) and (5, 5)

a² = (5 - (-8))² + (5 - 0)²

   = 13² + 5²

   = 169 + 25

   = 194

a = √192

a = 13.85

Length a = 13.85 × 5 m = 69.25 m

The line b goes through the point (5, 5) and (9, 0).

b² = (9 - 5)² + (0 - 5²

   = 4² + (-5)²

   = 16 + 25

   = 41

b = √41

b = 6.4

Length b = 6.4 × 5 m = 32 m

Perimeter = 2 × (a + b)

                = 2 × (69.25 m + 32 m)

                = 2 × 101.25 m

                = 202.5 m

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Answer:

yes

Step-by-step explanation:

because everytime you add 2 for x you add 1.8 for y

that means the difference is constant and the function is linear

The features of the circle in this problem are given as follows:

The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

The center for this circle has the coordinates given as follows:

(2,-1).

The radius is the distance of any point on the circumference of the circle from the center, hence, tracing a horizontal line at y = -1, we have that:

r = 7 - 2

r = 5.

Hence the equation is given as follows:

(x - 2)² + (y + 1)² = 25.

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