The ordered pairs in the table below represent a linear function. x y 6 2 9 8 What is the slope of the function? One-fourth One-half 2 4

Answer:

2/5

Step-by-step explanation:

4 raspberry / 10 total

4/10

2/5

To answer this question we will set the equation y=f(x), then we will solve the equation for x, and finally, we will exchange x and y.

Setting y=f(x) we get:

Subtracting 12 from the above equation we get:

Multiplying the above equation by 4/3 we get:

Exchanging x and y in the above equation we get:

Therefore the inverse function of h(x) is:

Answer:

Answer:

No possible triangles

Step-by-step explanation:

Deltamath

The work done lifting the bucket to the top of the building is approximately 4029.21 J.

How to solve given problem?

To solve this problem, we need to break it down into steps and use the relevant equations.

Step 1: Calculate the weight of the bucket when it is filled with sand.

The weight of the bucket when it is filled with sand is the mass of the bucket plus the mass of the sand:

Weight of bucket and sand = (42 kg + mass of sand) x 9.8 m/s²

Step 2: Calculate the mass of sand in the bucket when it reaches the top of the building.

The mass of sand in the bucket when it reaches the top of the building is the initial mass of sand minus the amount of sand lost due to the ascent:

Mass of sand at top = initial mass of sand - (0.7 kg/m x 14 m)

Step 3: Calculate the total length of cable required to lift the bucket to the top of the building.

The total length of cable required is the height of the building plus the length of cable required to secure the bucket:

Total length of cable = 14 m + 1 m = 15 m

Step 4: Calculate the mass of the cable required.

The mass of the cable required is the linear density of the cable multiplied by the length of cable required:

Mass of cable = 2 kg/m x 15 m = 30 kg

Step 5: Calculate the work done lifting the bucket to the top of the building.

The work done lifting the bucket to the top of the building is equal to the change in potential energy of the bucket-sand-cable system:

Work done = (Weight of bucket and sand - Mass of sand at top) x Height of building + Mass of cable x Height of building

Plugging in the values we calculated:

Work done = [(42 kg + mass of sand) x 9.8 m/s^2 - (0.7 kg/m x 14 m)] x 14 m + 30 kg x 14 m

Work done = (4116.08 - 9.8 x 9.8 x 1.96) J + 420 J

Work done = 4029.21 J

Therefore, the work done lifting the bucket to the top of the building is approximately 4029.21 J.

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Answer:

At the time the ball was thrown, it was 8 feet above the ground.

h'(x) = -32x + 64 = 0, so x = 2

The ball reaches its maximum height after 2 seconds.

Answer:

AB =  4.9cm

Step-by-step explanation:

We know

AC is 9.1 centimeters, and BC is 4.2 centimeters.

Find AB

We take

9.1 - 4.2 = 4.9cm

So, AB = 4.9cm

The complete pattern will be;

⇒ 1, 5, 9, 13, 17

A process of combining or adding two or more numbers is called addition.

Given that;

The pattern is,

⇒ 1,__, 9, 13, __

Now,

Since, The pattern is,

⇒ 1,__, 9, 13, __

So, By adding 4 in previous number, we get the next number.

Hence, We get;

⇒ Second term = 1 + 4 = 5

⇒ Fifth term = 13 + 4 = 17

Thus, The pattern is,

⇒ 1, 5, 9, 13, 17

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Answer:

x=4

Step-by-step explanation:

add 6 to both sides and you get 0+x=4

Answer: y = 4x + 1

Step-by-step explanation: the slope is 4 over 1 (the same as just 4, so we are just putting 4) because the points of the line are going up four and over one (and you always add x to the slope). the y-intercept is 1 because that is where the line meets the y axis. :)

The misleading about the data shown on the figure is the clas width

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

The histogram

On the histogram, we have the following readings

From the above, we can see that

The above readings are not consistent i.e. the class widths are not equal

Hence, the misleading about the data shown on the figure is the clas width

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Levy is painting a miniature model of a World War II tank. His figure uses a 1:72 scale and is 22.5 cm long. The actual tank is 1620 cm long.

To determine the length of the actual tank, we need to scale up the length of the miniature model using the given scale of 1:72.

Let's denote the length of the actual tank as "x".

According to the scale, 1 cm on the miniature model represents 72 cm on the actual tank.

So, we can set up the following proportion:

1 cm (miniature model) / 72 cm (actual tank) = 22.5 cm (miniature model) / x cm (actual tank)

Cross-multiplying and solving for x, we get:

x = (72 cm * 22.5 cm) / 1 cmx = 1620 cm

The actual tank is 1620 cm long.

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Answer:

Give her brainiest

Step-by-step explanation:

Answer: 36 oz box

Step-by-step explanation:

3.1/12=0.258333

7.9/360.291444

Thus, the 36 oz box is the better buy

Answer: 3 times (18+ 2) - 100

3 (18+2) - 100 = -40

Step-by-step explanation:

The required probability is 3 √7 / 32.

Given, a square with sides of length 4 units and a red-shaded triangle with sides 3 units, 3 units and 4 units. We need to find the probability that a randomly selected point within the square falls in the red-shaded triangle.To find the probability, we need to divide the area of the red-shaded triangle by the area of the square. So, Area of square = 4 × 4 = 16 square units. Area of triangle = 1/2 × base × height.

Using Pythagorean theorem, the height of the triangle is found as: h = √(4² − 3²) = √7

The area of the triangle is: A = 1/2 × base × height= 1/2 × 3 × √7= 3/2 √7 square units. So, the probability that a randomly selected point within the square falls in the red-shaded triangle is:  P = Area of triangle/Area of square= (3/2 √7) / 16= 3 √7 / 32.

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Answer:

He will is able win

Step-by-step explanation:

Answer:

he is able to win

Step-by-step explanation:

Answer:

B) in the modern art section of an art museum

Step-by-step explanation:

Hope it helps! =D

The mean, mean deviation mode, median standard deviation, and coefficients of variation, CV, are as follows;

1. The mean deviation about the mean, median mode are;

2.653, 3.709, and 3.709, respectively

The coefficients of variation are;

0.364, 0.337, 0.337, respectively

The variance is about 9.462

The standard deviation is about 3.076

2. Section A has a higher relative dispersion than section B

3. City 2

4. a. Mean ≈ 43.85

b. Mode 40 - 54 inches

c. Median ≈ 45.16

The variance ≈ 125.8056

Standard deviation ≈ 11.216

Coefficient of variation ≈ 0.268

The coefficient of variation of a data quantifies or is a measure of the variability of the values in the set of data.

The mean for the data can be calculated as follows;

Mean  = (3×10 + 6×15 + 11×25 + 2×6 + 4×4 + 10×3 + 5×2 + 7×8 + 8×9 + 9×4)/(10+15+25+6+4+3+2+8+9+4) ≈ 7.29

The median is the 86/2 value = 43rd value

10 + 15 + 25 = 50

Therefore, the median is in the class with a frequency of 25, which is 11

The mode of the data, which is the value with the highest frequency in the data set is 11

The mean deviation from the mean is therefore;

(|3 - 7.29|×10 + |6 - 7.29|×15 + |11 - 7.29| ×25 + |2 - 7.29| ×6 + |4 - 7.29| ×4 + |10 - 7.29| ×3 + |5 - 7.29| ×2 + |7 - 7.29|×8 + |8 - 7.29| ×9 + |9 - 7.29| ×4)/(10+15+25+6+4+3+2+8+9+4) ≈ 2.653

The coefficient for the mean deviation about the mean is therefore; 2.653/7.29 ≈ 0.364

The mean deviation about the median is therefore;

(|3 - 11|×10 + |6 - 11|×15 + |11 - 11| ×25 + |2 - 11| ×6 + |4 - 11| ×4 + |10 - 11| ×3 + |5 - 11| ×2 + |7 - 11|×8 + |8 - 11| ×9 + |9 - 11| ×4)/(10+15+25+6+4+3+2+8+9+4)

The mean deviation about the median = 319/86 ≈ 3.709

The coefficient ≈ 3.709/11 ≈ 0.337

The median = The mean deviation about the mode ≈ 3.709

The coefficient is about 0.337

The variance = (10×(3 - 7.29)² + 15×(6 - 7.29)² + 25×(11 - 7.29)² + 6×(2 - 7.29)² + 4×(4 - 7.29)² + 3×(10 - 7.29)² + 2×(5 - 7.29)² + 8×(7 - 7.29)² + 9×(8 - 7.29)² + 4×(9 - 7.29)²)/(10+15+25+6+4+3+2+8+9+4) ≈ 9.462

The standard deviation, s ≈ √(9.462) ≈ 3.076

2. The coefficient of variation, CV, can be used to compare the variability of the datasets comprising of different scales as follows;

CV = Standard deviation/( The mean of the data)

Therefore; CV for section A = 23/79 ≈ 0.2911

CV for section B = 11/64 ≈ 0.172

The higher CV value for section A indicates that the scores of section A have a higher relative dispersion than the scores for the section B

3. The consistency values can be obtained by finding the standard deviation for the values in the data for each city, using a web based tool as follows;

City 1; Mean = 23

Variance = 50/4

Standard deviation, City 1 = (√(50))/2 = 5·√2/2

City 2; Mean = 21.8

Sample variance = 2.2

Standard deviation, City 2 = √(2.2) ≈ 1.483

City 3; Mean = 29.2

Sample variance = 18.7

Standard deviation, City 3 = √(18.7) ≈ 4.324

The standard deviation of city 2, which is the smallest compared tom the other cities, indicates that the City 2, has the most consistent temperature

4. The mean of the data obtained from the data using the midpoint of the data, is; Mean = ∑fx/∑f

Therefore; The mean obtained using an online tool is; 43.85

The mode is the data that occurs most frequently, which is the data with the value; 40 - 54 inches

The median is the value at the middle of the data set, which is the value with a frequency of 53, and in the interval 40 - 54 inches

The median is; 39.5 + (54.5 - 39.5) × (50 - 30)/53 ≈ 45.16

The standard deviation found for the grouped data, using an online tool is as follows;

Variance, σ² ≈125.8056

The standard deviation, σ ≈ √(125.8056) ≈ 11.216

The coefficient of variation is; 11.216/41.83 ≈ 0.268

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Answer:

He got 64 correct.

Step-by-step explanation:

He got 8 wrong (think of 72/9) so then you subtract 8 from 72 and get 64. Hope this helped :)

Relative interest refers to the comparison of interest rates between different financial instruments or investment opportunities. It allows individuals or investors to assess and evaluate the attractiveness of various options based on their potential returns.

1. Understand the basic concept: Interest is the cost of borrowing money or the return earned on invested funds. Relative interest involves comparing the interest rates of different financial instruments or investments to determine which one offers a more favorable return.

2. Identify the investment options: Start by identifying the different investment opportunities or financial instruments available. These can include savings accounts, certificates of deposit (CDs), bonds, stocks, or other investment vehicles.

3. Research interest rates: Research and gather information about the current interest rates offered by each investment option. This information can usually be found on financial websites, through financial institutions, or by consulting with a financial advisor.

4. Compare interest rates: Once you have the interest rates for each investment option, compare them side by side. Look for the differences in rates and identify which options offer higher or lower returns.

5. Assess risk and return: Consider the level of risk associated with each investment option. Higher returns often come with higher risk, so it's essential to evaluate the risk-reward tradeoff.

6. Make an informed decision: Based on the comparison of interest rates and the risk-reward assessment, make an informed decision on which investment option aligns with your financial goals and risk tolerance.

Always remember to consider your financial goals, risk tolerance, and consult with a financial advisor if needed.

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Answer:

2/3

Step-by-step explanation:

Answer:

Ms. Jenkins puts for every 6 bluegill fish one rock bass fish so she puts the number multiple of 7

Answer:

(0,2)  

Step-by-step explanation:

The linear equation is mx+b=y.

m=slope

x= x coordinates

b=y intercept

y=y coordinates

In this case 2 is the y intercept.

Answer:

Y-intercepts: (0,2) so I'm pretty sure your answer is 2.

Step-by-step explanatio

Answer:

draw a triangle with sides of 8 units for left side 8 for the right side and 4 for the bottom

Step-by-step explanation:

then draw a second one in the middle with 4 units for the left one 4 units for the right one and 2 units for the bottom one then say it is the size of the grid and the dilation is divided by 2 and smaller the the first figure.

Answer:

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

g.

The quotient of p and q is p/q, at most means less or equal:

h.

The reciprocal of w is 1/w, at least means equal or greater:

i.

The absolute value of x is |x|:

Answer:

g. 1.  p/q ≤ 6

h. 2.  1/w ≥ 8

i.4. |x| > 6

Step-by-step explanation:

To express the given statements as an inequality, we need to determine the relationship between the given quantities.

g. The statement "The quotient of p and q is at most 6" means that p divided by q is less than or equal to 6. Mathematically, we can represent this as p/q ≤ 6.

h. The statement "The reciprocal of w is at least 8" means that the value of 1/w is greater than or equal to 8. Mathematically, we can represent this as 1/w ≥ 8.

i. The statement "The absolute value of x is greater than 6" means that the distance of x from 0 is greater than 6. This means that x is either greater than 6 or less than -6. Mathematically, we can represent this as |x| > 6.

Answer: To graph this system of inequalities, we can first graph each inequality separately and then find the region where they overlap.

Starting with the first inequality, x - y ≥ 7, we can rearrange it to y ≤ x - 7 and graph the line y = x - 7. Since the inequality includes the line, we will use a solid line to represent it, and shade below the line to show the region where y is less than or equal to x - 7.

Next, for the second inequality, x + 2y < 5, we can rearrange it to y < (-1/2)x + 5/2 and graph the line y = (-1/2)x + 5/2. Since the inequality excludes the line, we will use a dashed line to represent it, and shade below the line to show the region where y is less than (-1/2)x + 5/2.

Now we can combine the two shaded regions to find the overlapping region where both inequalities are satisfied. This region is shown in the graph below:

     |          /

     |        /

     |      /

     |    /  

     |  /    

     |/      

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

The point that represents a solution to the system is the point where the two lines intersect. To find this point, we can solve the system of equations:

y = x - 7

y = (-1/2)x + 5/2

Substituting the first equation into the second, we get:

x - 7 = (-1/2)x + 5/2

Simplifying this equation, we get:

(3/2)x = 19/2

x = 19/3

Substituting this value of x into either of the original equations, we get:

y = 19/3 - 7 = 2/3

So the point that represents a solution to the system is (19/3, 2/3).

Step-by-step explanation:

The the coefficient of variation for set a is 15.7% and the coefficient of variation for set b is 22.3%.

The formula for calculating the coefficient of variation is:

CV = (standard deviation / mean) x 100%

where standard deviation is a measure of the spread of the data around the mean. The CV expresses the standard deviation as a percentage of the mean.

To calculate the CV for set a, we first need to find the mean and standard deviation of the data set. The mean can be calculated by adding all the values and dividing by the number of values.

Mean = (3.97 + 3.47 + 3.99 + 4.30 + 3.16 + 3.07 + 4.24 + 2.94 + 3.56 + 3.43 + 3.06 + 3.34 + 4.35 + 3.57) / 14 = 3.65

The standard deviation can be calculated using a calculator or a spreadsheet software such as Microsoft Excel. For this set, the standard deviation is 0.574.

CV = (0.574 / 3.65) x 100% = 15.7%

To calculate the CV for set b, we need to first remove the dollar sign from each value and then find the mean and standard deviation.

Mean = ($24,800 + $30,000 + $22,300 + $20,400 + $19,000 + $32,200 + $23,000 + $23,000 + $24,000 + $27,200 + $34,900) / 11 = $25,727.27

The standard deviation can be calculated using a calculator or spreadsheet software. For this set, the standard deviation is $5,746.38.

CV = ($5,746.38 / $25,727.27) x 100% = 22.3%

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Answer:

The answer is -20. count how many times -8 adds up to -11. Brainlest would be much appreciated!