A pair of shorts cost $14. If they are on sale for 40% off, what is the sale price of the shorts?

The vertices of the triangle after reflection over the y - axis are  P'(2,-4) , Q'(-2 , -5) and R'(1 , -8)  .

In the question ,

it is given that ,

the vertices of the triangle PQR are P(-2, -4), Q(2, -5) and R(-1, -8),

we have to write the coordinates after reflection over y axis .

we know that the coordinate (x,y) after reflection over y axis become (-x,y).

So , the coordinate P(-2 , -4) after reflection is P'(2,-4) .

the point Q(2,-5) becomes Q'(-2 , -5) .

the vertex R(-1 , -8) becomes R'(1 , -8) .

Therefore , the vertices of the reflected triangle are P'(2,-4) , Q'(-2 , -5) and R'(1 , -8) .

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So, there are 54,264 different strings of six hexadecimal digits that do not have any repeated digits.

To determine the number of strings of six hexadecimal digits without any repeated digits, we can consider each digit position separately.

For the first digit, we have 16 choices (0-9 and A-F).

For the second digit, we have 15 choices remaining (excluding the digit already chosen for the first position).

Similarly, for the third digit, we have 14 choices remaining, and so on.

Therefore, the total number of strings of six hexadecimal digits without any repeated digits can be calculated as:

16 * 15 * 14 * 13 * 12 * 11 = 54,264

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The area of the parallelogram is equal to the magnitude of the cross product, so the area is √228 square units.

To find the area of the parallelogram with vertices K(2,3,1), L(2, 5, 3), M(6, 10, 3), and N(6, 8, 1), we need to find the cross product of the vectors representing its sides, and then find the magnitude of that cross product.

First, find the vectors representing the sides KL and KM:
KL = L - K = (0, 2, 2)
KM = M - K = (4, 7, 2)

Now, calculate the cross product of KL and KM:
KL x KM = (i, j, k)
              (0, 2, 2)
              (4, 7, 2)

Using the determinant method:
i (2 * 2 - 2 * 7) - j (0 * 2 - 2 * 4) + k (0 * 7 - 4 * 2) = -10i + 8j - 8k

The cross product is (-10, 8, -8).

Now, find the magnitude of the cross product:
||(-10, 8, -8)|| = √((-10)^2 + 8^2 + (-8)^2) = √(100 + 64 + 64) = √228

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Answer:

15t+9 ft

Step-by-step explanation:

Given data

Width=  6t-1.5 ft

Length= 1.5t+6 ft

Required

The perimeter

The expression for perimeter is

P= 2L+2W

P= 2(1.5t+6)+ 2(6t-1.5)

open bracket

P= 3t+12+ 12t-3

collect like terms

P= 3t+12t+12-3

P= 15t+9 ft

Hence the perimeter is  15t+9 ft

The minimum score required for a letter of recognition is approximately 28.1 (rounded to one decimal place).

The minimal rating required for a letter of recognition, we want to locate the rating that corresponds to the pinnacle 11% of the distribution.

The z-score that corresponds to the pinnacle 11% of the distribution.

A trendy everyday distribution desk or calculator to discover this value:

P(Z > z) = 0.11

From the table, we discover that the z-score that corresponds to a cumulative likelihood of 0.11 is about 1.22.

Next, we can use the formulation for standardizing a score:

z = (x - μ) / σ

Rearranging this formula, we can remedy for x:

x = z × σ + μ

Substituting the values given in the problem, we get:

x = 1.22 × 5.3 + 21.3

x = 28.066

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The maximum displacement of the object is -0.5 ft, and it occurs when the object is pulled down 1 ft below the equilibrium position and released.

Based on the information provided, I will address the part of the question related to finding the maximum displacement of the object when it is pulled down 1 ft below the equilibrium position and released.

To find the maximum displacement of the object, we can use the principle of conservation of mechanical energy.

The potential energy stored in the spring when it is stretched is converted into kinetic energy as the object oscillates. At the maximum displacement, all the potential energy is converted into kinetic energy.

Let's assume that the equilibrium position is at the height of zero. When the object is pulled down 1 ft below the equilibrium position, it has a displacement of -1 ft.

To find the maximum displacement, we need to determine the amplitude of oscillation, which is half the total displacement. In this case, the amplitude would be -1 ft divided by 2, resulting in an amplitude of -0.5 ft.

The maximum displacement occurs when the object reaches the extreme point of its oscillation. In this case, it would occur at a displacement of -0.5 ft from the equilibrium position.

The information provided in the question about cos 801 and sin 81 is unrelated to the calculation of the maximum displacement. If you have additional questions or need further clarification, please let me know.

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Answer:

13.3041346957 Ft. ( Or 13.30 Ft. )

Step-by-step explanation:

Formula: A^2 + B^2 = C^2

Substitution: 9^2 + 6^2 = 117

√177 = 13.3041346957

13.3041346957 ( Rounded ( Hundredths Place ) = 13.30 Ft .

Answer:

-8,6

Step-by-step explanation:

all of the other answers are within the highlighted area of tha graph and thus are solutions but -8,6 is outside the highlighted area

Correlation coefficients examine the relationship between variables.

They help in determining the strength and direction of the association between two continuous variables, making it easier to understand and interpret their connection.

Correlation coefficients are statistical measures used to examine the relationship between two or more variables. The correlation coefficient quantifies the degree to which the variables are related or associated with each other.

A positive correlation coefficient indicates that when one variable increases, the other variable also tends to increase, while a negative correlation coefficient indicates that when one variable increases, the other variable tends to decrease.

A correlation coefficient of zero indicates no relationship between the variables.

Correlation coefficients are often used in research studies to examine the strength and direction of the relationship between two variables.

For example, in a study examining the relationship between exercise and weight loss, a correlation coefficient could be calculated to determine how strongly exercise and weight loss are related.

It is important to note that correlation does not imply causation, and a strong correlation between two variables does not necessarily mean that one variable causes the other.

Correlation coefficients are simply used to describe the relationship between two variables and to identify patterns in the data.

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The area of each polygon in this problem is given as follows:

a) 252 square units.

b) 65 square units.

For item a, we have a rectangle of dimensions 12 and 21, hence the area is the multiplication of the dimensions, as follows:

A = 12 x 21 = 252 square units.

For item b, we have a triangle with base 13 and height 10, hence the area is half the multiplication of the base by the height, as follows:

A = 0.5 x 13 x 10 = 65 square units.

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The equation cannot be solve using substitution

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

-5(-2)x−4y=−10

The above equation is a lone equation

For an equation to be solved using substitution, there must be at least two equations

Hence, the equation has no solution

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Answer:

They need to travel 150 miles to meet

Step-by-step explanation:

As per map scale

one unit of map = 1 inch

1 inch of map unit = 60 miles

The total route length is 2.5 inches on map

The actual length of the route \(= 2.5 *60 = 150\) miles

They need to travel 150 miles to meet

Answer:7(3+5)= 21+35

Step-by-step explanation:

The equation of the parallel line is  2y-x=-7

A parallel line will have the same slope, but different intercept. Let's assume C in the intercept of this parallel line. Therefore, equation of the parallel would be,

2y-x=C, coefficients of x and y remain the same, since parallel lines.

This line passes through (3, -2). Therefore, substituting those values, we will get value of C.

2.(-2) -3=C

C=(-7)

The equation of the parallel line is therefore 2y-x=-7

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One of the variables that is categorical in the survey is the type of operating system used by the students.

This variable categorizes the students' responses into different categories based on the type of operating system they have on their personal computers.

Categorical variables are qualitative and represent characteristics or attributes that cannot be measured numerically.

In this case, the categories for the operating system variable might include options such as Windows, Mac, Linux, or Other.

Other variables in the survey may include numerical or quantitative data, such as the amount of RAM or the storage capacity of the students' computers.

These variables can be measured and expressed numerically.

However, since you asked for a variable that is categorical, the type of operating system is the relevant variable in this case.

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Answer:

Step-by-step explanation:

23

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable

x  =  11+3y/8

Step-by-step explanation:

Answer:

4(2x + y) = 11 + 7y

1. expand the brackets 8x + 4y = 11 + 7y

2. move +4y to the other side 8x = 11 + 3y

3. move 8 to the other side x= (11 + 3y)/8

Step-by-step explanation:

Answer:

Step-by-step explanation:

 8     6     9      5    10     4     11

 1st = 3rd - 1

  3rd = 5th - 1 and so on

2nd = 4th + 1

4th = 6th + 1

6th = 8th + 1

 8th = 6th - 1

         =  4 - 1

         = 3

Answer:2

Step-by-step explanation: because -C>ax-b>c

No solve this you have to multiply the cost per acre by the total are you want to plant:

It'll cost $73.3 to plant 2/3 of the acre.

The answer of the given question based on finding the area of the polygon  the answer is option (c) area = 261 units².

Area is a measure of the amount of space inside a two-dimensional (flat) figure or shape. It is typically measured in square units like square centimeters (cm²), square meters (m²), square inches (in²), or square feet (ft²). To find the area of a shape, we typically use a formula that depends on the type of shape we are dealing with.

To find the area of the polygon, we need to subtract the areas of the two cut-out shapes from the area of the square.

First, let's calculate the area of the rectangle, which is 9 units by 3 units:

Area of rectangle = length x breadth = 9 x 3 = 27  units²

Next, let's calculate the area of the square cut out from one corner of the larger square. We know that the side of the square is 6 units, so the area of the square is:

Area of square = side x side = 6 x 6 = 36 units²

Now we can calculate the area of the polygon by subtracting the areas of the rectangle and square from the area of the square:

Area of polygon = Area of square - Area of rectangle - Area of square

Area of polygon = 18 x 18 - 27 - 36

Area of polygon = 324 - 27 - 36

Area of polygon = 261  units²

Therefore, the answer is option (c) area = 261 units².

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As per the mathematical operation both Jillian and Samuel are correct.

Given expression = 30+40+70,

The methodology by Jillian = added 30 and 40 and then 70

The methodology by Samuel = added 30 and 70 and then 40.

Determining the result of the given equation:

30 + 40 + 70

= 140

Reviewing the operations of both Jillian and Samuel

Jillian

He added 30 and 40 and then 70:

30 + 40 = 70

70 + 70 = 140

Samuel

He added 30 and 70 and then 40

30 + 70 = 100

100 + 40 = 140

The result of both mathematical operations is 140. Thus, it can be stated that both are correct.

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Answer: Juan travelled 28 miles in the taxi

Step-by-step explanation:

A taxi company charges $2.25 for the first mile and then $0.20 per mile for each additional mile. This means that for m additional miles, the charge will be 2.25 + 0.20(m - 1)

So if F represents the fare, then

F = $2.25 + $0.20(m - 1)

If Juan's taxi fare was $7.65, to determine the number of miles that she paid for, we would substitute F = $7.65 into the equation,

F = $2.25 + $0.20(m - 1). It becomes

7.65 = 2.25 + 0.20(m-1)

7.65 = 2.25 + 0.20m - 0.20

7.65 - 2.25 + 0.20 = 0.2m

0.2m = 5.6

m = 5.6/0.2 = 28 miles

Answer:

Juan traveled 28 miles in the taxi

Step-by-step explanation:

7.65=2.25+0.2(m-1), subtract 2.25 from both sides, then you get 5.40=0.2(m-1)

then multiply 0.2 by the numbers in the parenthesis and get 5.40= 0.2m-0.2

add 0.2 to both sides to get 5.60 = 0.2m, divide both numbers by 0.2 and get   28 = m

The coefficient on mrate indicates that on average a decrease in the 401(k) plan match rate by 0.2 results in approximately a 0.2 percentage point increase in the 401(k) plan participation rate by workers.

The coefficient on mrate suggests that there is a positive relationship between the 401(k) plan match rate and the participation rate of workers. Specifically, a decrease in the match rate by 0.2 is associated with an approximate increase of 0.2 percentage points in the participation rate.

This implies that as the match rate offered by the plan decreases, there is a slight rise in the likelihood of workers participating in the 401(k) plan. However, it is important to note that this relationship is an average estimate and other factors could also influence the participation rate.

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The question is -

The coefficient on mrate indicates that on average a decrease in the 401(k) plan match rate by 0.2 results in approximately a ______ percentage point ________ in the 401(k) plan participation rate by workers.

From the question deduced, the difference in percentage between the Americans will be 30%.

Your information is incomplete. Therefore, an overview will given. Let's assume that the number of Americans 65 and older that vote are 35 out of 50. The percentage will be:

= (35/50) × 100

= 70%

Let's assume that the number of Americans aged 18 to 29 that vote are 20 out of 50. The percentage will be:

= 20/50 × 100

= 40%

Therefore, the difference will be:

= 70% - 40%

= 30%

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Answer:

Draw open circle AT 11

Shade all numbers to the right of 11

Step-by-step explanation:

Have a great day!

Answer:

its A,B

Step-by-step explanation:

Answer:

1.

Set 1: b = 1, h = 72

Set 2: b = 2, h = 36

Set 3: b = 3, h = 24

2. Yes, you can accurately find the length of the sides.

Hope this helps. Have a nice day.