John makes $8.25 per hour after he got a 50 cent raise. Write the equation

The equivalent to the length of the string in meters is 14 / 5 meters

The length of the string is expressed in a mixed fraction form.

length of the string = 2 16 / 20

let's express it in a simplified form. This is usually in an improper fraction form.

Therefore,

2 16 / 20 = 56 / 20

Hence,

56 / 20 = 14 / 5 meters

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X Y

-2 11

-1 7

0 3

1 -1

2 -5

-2 = 16 times minus 2 plus 4y equals to 12

-1 = 16 times minus 1 plus 4y equals to12

0 = 16 times 0 plus 4y equals to 12

1 = 16 times 1 plus 4y equals to 12

2 = 16 times 2 plus 4y equals to 12

Therefore,

-2 = 16 * -2 + 4y = 12

-32 + 4y = 12

4y = 12 + 32

4y = 44

y = 44/4

y = 11

-1 = 16 * -1 + 4y = 12

-16 + 4y = 12

4y = 12 + 16

4y = 28

y = 28/4

y = 7

0 = 16 * 0 + 4y = 12

0 + 4y = 12

4y = 12 + 0

4y = 12

y = 12/4

y = 3

1 = 16 * 1 + 4y = 12

16 + 4y = 12

4y = 12 - 16

4y = -4

y = -4/4

y = -1

2 = 16 * 2 + 4y = 12

32 + 4y = 12

4y = 12 - 32

4y = -20

y = -20/4

y = -5

Answer:

ST ≈ 10.9 ft

Step-by-step explanation:

Using the sine ratio in the right triangle

sin32° = \(\frac{opposite}{hypotenuse}\) = \(\frac{US}{ST}\) = \(\frac{5.8}{ST}\) ( multiply both sides by ST )

ST × sin32° = 5.8 ( divide both sides by sin32° )

ST = \(\frac{5.8}{sin32}\) ≈ 10.9 ( to the nearest tenth )

The area of the computer monitor display is approximately 0.103 square meters, with three significant figures.

The area of the monitor display in square meters is found by converting the measurements from inches to meters and then calculate the area.

The conversion factor from inches to meters is 0.0254 meters per inch.

Width in meters = 14.60 inches * 0.0254 meters/inch

Height in meters = 10.95 inches * 0.0254 meters/inch

Area = Width in meters * Height in meters

We calculate the area:

Width in meters = 14.60 inches * 0.0254 meters/inch = 0.37084 meters

Height in meters = 10.95 inches * 0.0254 meters/inch = 0.27813 meters

Area = 0.37084 meters * 0.27813 meters = 0.1030881672 square meters

Now, we determine the number of significant figures.

The measurements provided have four significant figures (14.60 and 10.95). However, in the final answer, we should retain the least number of significant figures from the original measurements, which is three (10.95). Therefore, the answer should have three significant figures.

Thus, the area of the monitor display in square meters is approximately 0.103 square meters, with three significant figures.

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Answer:

c(x)

Step-by-step explanation:

c(x) increases by 10 every time

a(x) is multiplied by 2

b(x) is multiplied by 4

For a z-score, We  transform a set of raw scores into a set of z-scores because we can compare scores from two different distributions i.e. D.

What exactly is the z-score?

The z-score is a statistical measurement that describes a value's relationship to the mean of a collection of values. The z-score formula is

z = (x - μ)/σ

x = data point

μ = mean

σ = standard deviation

Mean:- The sum of a collection of numbers divided by the total number of numbers in the set is known as the arithmetic mean, sometimes known as the arithmetic average or simply the mean or average. A survey, experiment, or observational research is usually used to create the collection.

Now,

As Z-scores are standardized scores that identify and define each score's exact placement within a distribution. We may conduct meaningful comparisons of z-scores across various samples or groups by converting our data (raw score).

hence,

          We transform a set of raw scores into a set of z-scores because we can compare scores from two different distributions.

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Answer:

3ft to 1ft

Step-by-step explanation:

24/8=3 and 8/8=1

The solution to solving for e in the equation is: e = 2/(x + c).

If we are given an equation whereby we are asked to solve the equation for the variable, all we need to do is to apply the necessary properties of equality to isolate the variable to one side of the equation.

Given the equation, e(x + c) = 2, solve as shown below:

e(x + c) = 2 [given]

Divide both sides by (x + c):

e(x + c) / (x + c) = 2 / (x + c) [division property of equality]

e = 2 / (x + c)

We have successfully isolated variable e to one side of the equation, therefore, the answer to solving the equation for e, is:

e = 2/(x + c)

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The largest volume possible of the bag is 62^3 inches

Volume of a cuboid?

The internal space occupied by a cuboid is the volume of the cuboid. if a cuboid has length l , breadth b and width w then the volume of cuboid can be given as V= l*b*w

We are given that the total dimensions of a checked bag should not exceed 62 inches

Also if the bag your company is designing has a height equal to its width.

To achieve maximum volume consider that length equal breadth equals width

Hence the maximum value of the dimension can be 62 inches

Hence the volume of the bag = 62^3 inches

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The best method of variable calculation, whether qualitative or quantitative, depends on the specific context and the type of information being analyzed.

It is not appropriate to definitively label one method as universally better than the other as they serve different purposes and have their own strengths and limitations.

Qualitative methods involve subjective analysis and interpretation of non-numerical data, such as observations, interviews, or surveys. They are valuable when exploring complex phenomena, understanding human behavior, or capturing nuanced information that cannot be easily quantified. Qualitative methods provide rich, in-depth insights and can uncover underlying motivations, attitudes, and perceptions.

Quantitative methods, on the other hand, involve the measurement and analysis of numerical data using statistical techniques. They provide objective and measurable results, allowing for precise comparisons and generalizations. Quantitative methods are particularly useful for testing hypotheses, establishing trends, and making predictions based on large-scale data sets.

Both qualitative and quantitative methods have their merits and should be employed based on the research question, available resources, and the nature of the data. A comprehensive approach that integrates both methods can often provide a more comprehensive and robust understanding of the subject matter.

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\(\underset{in~degrees}{\textit{sum of all interior angles}}\\\\ S = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\\[-0.5em] \hrulefill\\ n = 4 \end{cases}\implies S=180(4-2)\implies S=360\)

Check the picture below.

The solution of the linear equation 2.8y+6+0.2y=5y-14 is y=10.

Given linear equation 2.8y+6+0.2y=5y-14 and we have to find the solution of the equation.

An equation is relationship between two or more variables which is expressed in equal to form. It is solved in order to find the values of variables. Equation of two variables look like ax+ by=x.

The given linear equation is 2.8y+6+0.2y=5y-14 which can be solved as under:

2.8y+6+0.2y=5y-14

We have to add the coefficients of same variables. Coefficients are the numbers which are present with the variable.

3y+6=5y-14

We have to take same variables at one side.

3y-5y=-14-6

-2y=-20

y=-20/-2

y=10

Hence the solution of the linear equation 2.8y+6+0.2y=5y-14  is y=10.

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Part A: 3.5x6 feet

14x3=42   24x3=72

42/12=3.5   72/12=6

Part B: 21 square feet

3.5x6=21

Part A: The dimensions of the print are 3.5 feet (width) and 6 feet (length).

Part B: The area of the print is 21 square feet.

We have,

Part A:

Width of the print: 14 inches * 3 = 42 inches

Length of the print: 24 inches * 3 = 72 inches

Convert inches to feet by dividing by 12.

Width of the print in feet: 42 inches / 12 = 3.5 feet

Length of the print in feet: 72 inches / 12 = 6 feet

Part B:

Area of the print:

= 3.5 feet * 6 feet

= 21 square feet

Therefore,

The dimensions of the print are 3.5 feet (width) and 6 feet (length).

The area of the print is 21 square feet.

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The equation of a line that passes through the points (-4, 47) and (2, -16) is 21x + 2y - 10 = 0.

The standard form of a line is ax + by + c = 0. If the line passes through the points (x1, y1) and (x2, y2), the equation of the line is evaluated by

y - y1 = [(y2 - y1)/(x2- x1)] · (x - x1)

The given points are (-4, 47) and (2, -16).

The equation of the line that passes through these points is

y - 47 = (-16 - 47)/(2 + 4) × (x + 4)

⇒ y - 47 = -63/6 × (x + 4)

⇒ 6(y - 47) = -63(x + 4)

⇒ 6y - 282 = -63x - 252

⇒ 63x + 6y = 282 - 252 = 30

⇒ 21x + 2y = 10

Therefore, the required standard form of the line that passes through the given points is 21x + 2y - 10 = 0.

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Answer:

x = 116°

y = 90°

Step-by-step explanation:

∠F = 90°, so arc EDS = 180°.

Therefore, arc EFS = 360° − 180° = 180°.  Which means ∠D = 90°.

Angles of a quadrilateral add up to 360°, so:

x + 90° + 90° + 64° = 360°

x = 116°

Answer:

The value of x is 116° and y = 90°

Step-by-step explanation:

Given that opposite supplementary angles in a cyclic quadrilateral is 180° :

\(x + 64 = 180 \\ x = 180 - 64 \\ x = 116\)

\(y + 90 = 180 \\ y = 180 - 90 \\ y = 90\)

The matrix B that organizes the data is given as follows:

B = [13, 36, 27,

      10, 15, 0,

       23, 51, 27].

The matrix that shows the total value of each cap size in each location is given as follows:

C = [247, 684, 513,

      190, 285, 0,

      437, 969, 513].

The matrix B is defined considering that it will have three rows and three columns, as follows:

Then the matrix B is defined as follows:

B = [13, 36, 27,

      10, 15, 0,

       23, 51, 27].

The cost of each baseball cap is of $19, thus the cost matrix is obtained multiplying the matrix B by the constant of 19.

When a matrix is multiplied by a constant, all the elements of the matrix are multiplied by the constant, hence the cost matrix is given as follows:

C = [247, 684, 513,

      190, 285, 0,

      437, 969, 513].

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Answer:

g(x)

Step-by-step explanation:

Answer:

C.g(x)

Step-by-step explanation:

Answer:

I think 7

Step-by-step explanation:

Answer:

Without tax, it is 7. How much is the tax?

Step-by-step explanation:

10.00 - 3.77 = 6.23

0.89 x 7 = 6.23

Answer:

Area of the gym floor = 100.8 square meters

Step-by-step explanation:

Area of the gym floor = Area of rectangle A + Area of rectangle B - Area of the overlap

Area of rectangle A = 105 square meters

Area of rectangle B = 8.4 square meters

Area of the overlap = \(\frac{3}{25}\times (\text{Area of rectangle A})\)

                                = \(\frac{3}{25}\times 105\)

                                = 12.6 square meters

Area of the gym floor = 105 + 8.4 - 12.6

                                    = 100.8 square meters

Therefore, area of the gym floor is 100.8 square meters.  

Answer:

18.9 square meters

Step-by-step explanation:

I think you mean that the area of the Rectangle A is 10.5 not 105.

10.5+ 8.4- 1.26= 18.9

Where I got the 1.26 from?

3/25 the area of Rectangle A is area of the overlap of the rectangles. Which means we have to divide 10.5 by 25 and multiply by 3. That gives us 1.26.

I hope this is helpful.

Step-by-step explanation:

Area of the sector is proportional to the square of the radius:

If you double the radius, the the area of sector is 2² = 4 times greater:

So the student is wrong.

Since triangle PQR is similar to triangle PTS

1) Side PQ is similar to side PT

2) Side QR is similar to side TS

3) side PR is similar to side PS

Answer:

1. P = 125 + 50w

2. I can't make a graph on your image, (since there are no increments) but the image attached is an image of a graph on desmos.

3. The y intercept represents the original 125 pounds of aluminum cans he starts with, and the slope represents the aluminum cans he collects.

Step-by-step explanation:

The score that separates the lower 60% from the top 40% is 213.

For a normally distributed set of data, given the mean and standard deviation, the probability can be determined by solving the z-score and using the z-table.

Find the z-score that corresponds to the probability in the z-table. (see attached images)

probability = 60% = 0.60

z-score = 0.25362694300518124

Then solve for the value of the score that separates the lower 60% from the top 40% using the formula below.

z-score = (x – μ) / σ

where x = individual data value = score

μ = mean = 200

σ = standard deviation = 50

0.25362694300518124 = (x - 200) / 50

x = 212.68

x ≅ 213

Hence, the score that separates the lower 60% from the top 40% is 213.

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The months in which the depths decreased are:

Between April and May

Between June and July

The change in depth between April and May is calculated as:

Change in depth = -0.28 - (-0.15) = -0.13 m

Thus, there was a decrease in depth between april and may

The change in depth between May and June is calculated as:

Change in depth = -0.08 - (-0.28) = 0.20 m

Thus, there was an increase in depth between May and June

The change in depth between June and July is calculated as:

Change in depth = -0.01 - (-0.05) = 0.07 m

Thus, there was a decrease in depth between June and July.

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The complete question is:

A scientist measures the depth of the water in a pond each month. The pond is considered full at 0 m. She compares her measures to the height of the water when the pond is considered full and records the change in depth in a table

Between which months did the depth of water decrease?

Answer:

the answer is $5,000

Step-by-step explanation:

the question is asking what the initial value of the painting is and in the equation, they are trying to find out how much the painting will cost after t years. the 1.098 is how much the painting decreases each year and it is being multiplied by &5000 so $5000 is the original value of the painting.

The constraints that are suitable for the situation are x≥4y , 7.50x+4.75y≤125 , x>0 and y>0 .

In the question it is given that

"x" represent the number of yellow rosebushes.

"y" represent the number of red rosebushes.

The word "at least' means "≥".

So "at least 4 times as many yellow rosebushes as red rosebushes" means x≥4y .  (constraint 1)

The number of red or yellow rosebushes cannot be negative .

So , x>0 (constraint 2)

y>0   (constraint 3)

Also ,

the cost of each yellow rosebushes = $7.50

number of yellow rosebushes = x

total cost of yellow rosebushes =7.50x

the cost of each red rosebushes = $4.75

number of yellow rosebushes = y

total cost of yellow rosebushes =4.75y

According to the question ,

she can spend no more than $125  , that means

7.50x+4.75y≤125  ( constraint 4)

Therefore , the constraints that are suitable for the situation are x≥4y , 7.50x+4.75y≤125 , x>0 and y>0 .

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The correct answer is “This is a right-tailed test because a direction is specified. The population parameter is greater than the specified value.”

What is hypothesis testing?

In hypothesis testing, we test the null hypothesis against the alternative hypothesis. The null hypothesis (H0) is the default assumption, which states that there is no significant difference between the sample data and the population parameter. The alternative hypothesis (H1) contradicts the null hypothesis and suggests that there is a significant difference between the sample data and the population parameter.

In this scenario, the null hypothesis would be that the average number of keywords per web page is less than or equal to 10, and the alternative hypothesis would be that the average number of keywords per web page is greater than 10.

Since the alternative hypothesis specifies a direction, it is a one-tailed or one-directional test. Moreover, as the alternative hypothesis states that the average number of keywords per web page is greater than 10, the critical region is in the right tail of the distribution. Therefore, this is a right-tailed test.

So, the correct answer is: This is a right-tailed test because a direction is specified. The population parameter is greater than the specified value.

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The number of 8 adults will supervise 48 children, 66 children will be supervised by 11 adults and 15 adults will supervise 90 children.

According to the question,

We have the following information:

1 adult supervises 6 children.

Now, for the first one, we have to find number of children to be supervised by 8 adults.

1 adult = 6 children

8 adults = 8*6 children

8 adults = 48 children

Now, for the second one, we have to find the number of adults for 66 children:

1 children = 1/6 adult

66 children = 66/6 adults

66 children = 11 adults

Now, for the third one, we have to find number of children for 15 adults:

15 adults = 15*6 children

15 adults = 90 children

Hence, the number of 8 adults will supervise 48 children, 66 children will be supervised by 11 adults and 15 adults will supervise 90 children.

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Answer: First is 48 Second is 11 Third is 90

Step-by-step explanation: I did it on Khan ✔