Walter had new carpeting installed in his 13-foot by 18-foot family room. He paid $7 per square foot for the carpet and $2 per square foot for the pad under the carpet. What was the total cost for the carpet and pad

We can use the formula for compound interest: after 7 years, Ed will have approximately $617.

To determine how much money Ed will have after 7 years of investing $500 at an annual interest rate of 3% compounded quarterly, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = the final amount

P = the principal amount (initial investment)

r = the annual interest rate (expressed as a decimal)

n = the number of times interest is compounded per year

t = the number of years

In this case, P = $500, r = 3% (or 0.03), n = 4 (quarterly compounding), and t = 7. Plugging these values into the formula, we can calculate the final amount:

A = 500(1 + 0.03/4)^(4*7)

Simplifying the equation, we get:

A = 500(1.0075)^(28)

Calculating the expression within the parentheses, we find:

A = 500(1.234)

Finally, we can compute the final amount:

A = $617

Therefore, after 7 years, Ed will have approximately $617.


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Total number of items = 21a + 9b. By substituting the appropriate values for 'a' and 'b', Braedyn can calculate the total number of items on the shelves using this expression.

The expression 21a + 9b can help Braedyn find the total number of items on the shelves by representing the number of items on each type of shelf and then summing them together. Let's assume that 'a' represents the number of items on each short shelf and 'b' represents the number of items on each tall shelf.

The expression 21a represents the total number of items on all the short shelves, and the expression 9b represents the total number of items on all the tall shelves. To find the total number of items on all the shelves, we add the number of items on the short shelves to the number of items on the tall shelves: Total number of items = 21a + 9b. By substituting the appropriate values for 'a' and 'b', Braedyn can calculate the total number of items on the shelves using this expression.

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Given data set: Mean: 65.8Median: 63.5Mode: 65Range: 11 Standard Deviation: 3.9To find the mean, median, mode, range, and standard deviation when each value of the data set is increased by 8, we need to add 8 to each data value.

Mean: 65.8 + 8 = 73.8Median: 63.5 + 8 =  there are no changes in the frequency of numbers, the mode will remain the same.Mode: 65Range: 11 Standard Deviation: 3.9 The standard deviation of a data set is not affected by adding or subtracting a constant from every value in the data set.

Therefore, the standard deviation remains the same.Standard Deviation: 3.9Answer:Mean: 73.8Median: 71.5Mode: 65Range: 11Standard Deviation: 3.9.Mean: 65.8 + 8 = 73.8Median: 63.5 + 8 = 71.5Since there are no changes in the frequency of numbers, the mode will remain the same.Mode: 65Range: 11 Standard Deviation: 3.9

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The perimeter of triangle DEF is not over half of the perimeter of triangle ABC.This is proven below.

Given: Triangle ABC is acute with heights AD, BE, and CF.

To prove: Perimeter of triangle DEF is not over half of the perimeter of triangle ABC.

1. Let the side lengths of triangle ABC be a, b, and c.

2. Then the lengths of the heights are h1 = a/2, h2 = b/2, and h3 = c/2.

3. The perimeter of triangle ABC is a + b + c.

4. The perimeter of triangle DEF is h1 + h2 + h3 = a/2 + b/2 + c/2.

5. 1/2 < 1, so a/2 + b/2 + c/2 < a + b + c.

6. Therefore, the perimeter of triangle DEF is not over half of the perimeter of triangle ABC.

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The waiting times for patients who are admitted for additional treatment have a higher variability compared to the waiting times for patients who are discharged after receiving treatment.

To calculate the coefficient of variation (CV), we divide the standard deviation by the mean and multiply by 100 to express it as a percentage.

For patients admitted for additional treatment:

CV = (12.7 / 121) * 100 ≈ 10.5%

For patients discharged after receiving treatment:

CV = (10.5 / 118) * 100 ≈ 8.9%

Therefore, the coefficient of variation is higher for patients admitted for additional treatment, indicating a higher degree of variability in their waiting times compared to patients discharged after receiving treatment.

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Emma is using x fence panels along the width of her garden. We need to find expressions for f(x), the width of her garden in feet, and g(x), the length of her garden in feet.

To find an expression for f(x), the width of Emma's garden, we need to determine how the number of fence panels (x) relates to the width. Assuming each fence panel has a fixed width, we can express f(x) as:

f(x) = x * width of each fence panel

The width of each fence panel may vary depending on the specific measurements provided. For example, if each fence panel has a width of 4 feet, then the expression for f(x) becomes:

f(x) = 4x

To find an expression for g(x), the length of Emma's garden, we need additional information or assumptions. The given information does not specify how the number of fence panels along the width relates to the length of the garden. Without this information, we cannot determine a specific expression for g(x).

In summary, we can express the width of Emma's garden, f(x), by multiplying the number of fence panels (x) by the width of each fence panel. However, we cannot determine a specific expression for the length of her garden, g(x), without additional information or assumptions.

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Complete question:

Emma wants to enclose her rectangular garden with fence panels. If she uses x fence panels along the width of her garden, find an expression for f(x), the width of her garden in feet.

f(x) = ?

"Next, find an expression for g(x), the length of her garden, in feet.

g(x) = ?

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The 11.43 minutes is less than 12 minutes, Jillian has a good chance of making the team. Therefore, Jillian might make the cross country team.

Jillian is trying for the cross country team. To make it she must run 3 1/2 miles in less than 40 minutes.

To find out if Jillian will make the cross country team, we must check if she can run 3 1/2 miles in less than 40 minutes. The time required for Jillian to run one mile is found by dividing 40 minutes by 3.5:40 / 3.5 = 11.43Jillian must complete one mile in 11.43 minutes to be eligible for the cross country team.

Since ,11.43 minutes is less than 12 minutes, Jillian has a good chance of making the team. Therefore, Jillian might make the cross country team.

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The linear function in slope-intercept form (y=mx+c) is: y = 2x + fixed amount where fixed amount is the amount that the band makes even if no tickets are sold.

Given that a band has been playing weekly at local venue.

They have been making a fixed amount, plus they receive additional money for every ticket sold.

Last week they sold 40 tickets and were paid $200.

The week before that they sold 70 tickets and were paid $260.

Let x represent the number of tickets sold and y represent the amount the band will be paid.

The linear function that represents the relationship between the number of tickets sold and the amount the band will be paid can be represented as follows:

For the week where 40 tickets were sold, the band received $200.

For the week where 70 tickets were sold, the band received $260.

The slope of the line is given as follows: The slope of the line =Change in y-value/change in x-value

                                                                                                        = 260-200/70-40

                                                                                                         = 60/30

                                                                                                         = 2.

The y-intercept of the line is given by the point (0, fixed amount).

Since the band receives a fixed amount irrespective of the number of tickets sold, the y-intercept of the line is equal to the fixed amount.

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7.4 inches is the length in inches of the pool on the map.

To find the length of the pool on the map in inches, we can set up a proportion using the given scale:

1/3 inch represents 15 yards

Let's denote the length of the pool on the map as "x" inches.

Using the proportion, we have:

(1/3) / 15 = x / 333

To solve for x, we can cross-multiply:

15 * x = (1/3) * 333

15x = 333/3

15x = 111

Dividing both sides by 15, we find:

x = 111 / 15

x ≈ 7.4

Therefore, the length of the pool on the map is approximately 7.4 inches.

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Davidson has just arrived at the foothills of the Rockies and is on a cross-country motorcycle trip. He intends to take an hour longer on the east side of the 245 km trip than on the west side of the 225 km trip. On the downhill side, he intends to average 20 km/h more to achieve this. The trip through the Rockies will take approximately 17.375 hours.

Let the speed of the motorcycle on the west side of the trip be x km/h.

So, the time required to complete the 225 km trip will be:

Time for the west side of the trip = 225/x

Let the speed of the motorcycle on the east side of the trip be x + 20 km/h.

So, the time required to complete the 245 km trip will be:

Time for the east side of the trip = 245 / (x + 20)

We know that the time Davidson takes on the east side of the trip will be an hour longer than on the west side. Therefore, we can form the following equation:

245/(x + 20) = 225/x + 1

Multiplying both sides by x(x + 20),

we get:245x = 225(x + 20) + x(x + 20)

Simplifying the equation:20x = 400x = 20 km/h

Time taken on the west side of the trip is 225/20 = 11.25 hours

Time taken on the east side of the trip is 245/40 = 6.125 hours

So the total time for the trip through the Rockies is 11.25 + 6.125 = 17.375 hours, or about 17 hours and 22.5 minutes (rounded to the nearest minute).

Therefore, the trip through the Rockies will take approximately 17.375 hours.

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Answer:

No

Step-by-step explanation:

To determine the amount of turkey required, take the amount of turkey per person and multiply by the number of people.

2/7 * 35

10

She will need 10 pounds of turkey, so  8 pounds will not be enough.

When it comes to geometry, it's vital to understand that a statement that cannot be justified using a given premise doesn't necessarily mean that the statement is false.

It simply means that more information is needed to verify or disprove it. Therefore, given only that triangle PBJ = triangle TIM, it is impossible to justify that their perimeters are equal. This statement cannot be justified using the given information alone.

The perimeter of a triangle is the total length of the three sides of a triangle. Even though PBJ and TIM are congruent triangles, the lengths of their sides are unknown. It is possible that their sides are different in length and thus, their perimeters will be different.

Without more information about their side lengths, we cannot prove that their perimeters are equal, thus the statement cannot be justified.

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There would be 318 grams of sugar in a 3-liter bottle of soda. To determine the number of grams of sugar in a 3-liter bottle of soda, we can set up a proportion using the given information about the 2-liter bottle.

Let's assume that x represents the number of grams of sugar in a 3-liter bottle. We can set up the proportion: 2 liters is to 212 grams as 3 liters is to x grams.

Using cross-multiplication, we have 2 * x = 3 * 212. Solving for x, we get: x = (3 * 212) / 2 = 636 / 2 = 318 grams.Therefore, there would be 318 grams of sugar in a 3-liter bottle of soda.

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By using double grouping, the expression can be factored as (x + 7)(x - 6).

To factor the expression x^2 + x - 42, an x-method chart is used to determine the factors. The completed chart shows 1 at the bottom of x, -42 at the top of x, 7 on the left side, and -6 on the right side.

The x-method chart is a helpful tool for factoring quadratic expressions. The completed chart provides us with the necessary information to factor the expression x^2 + x - 42. The product of -42 at the top of x and 1 at the bottom of x tells us that the factors of -42 are -6 and 7.

To factor the expression, we can use double grouping. We group the terms x and 7 together, as well as the terms x and -6 together. This gives us x(x + 7) - 6(x + 7). Notice that both groups have a common factor of (x + 7). We can factor out this common factor to obtain (x + 7)(x - 6).

To verify the factors, we can use the distributive property to multiply the factors back together. When we multiply (x + 7)(x - 6), we get x^2 + x - 6x - 42. Simplifying further, we have x^2 - 5x - 42, which is equivalent to the original expression x^2 + x - 42. Therefore, (x + 7)(x - 6) is the correct factored form of the given expression.

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A catalytic ozone destruction cycle requires no atomic oxygen and it incorporates the photochemical decomposition of ClONO₂ to Cl and NO₃, and photochemical decomposition of the later to NO and O₂. The overall reaction is NO + O₃ → NO₂ + O₂

In the lower stratosphere, a proposed mechanism for ozone destruction in the late spring over northern latitudes begins with the photochemical decomposition of ClONO₂ to Cl and NO₃. This reaction is catalyzed by sunlight in the lower stratosphere. The photodissociation of NO₃ is the next step in the cycle, and it results in the production of NO and O₂.

The NO then reacts with O₃ in the following reaction: NO + O₃ → NO₂ + O₂The NO₂ that is produced then reacts with atomic oxygen to form NO₃, and the cycle starts again with the photodissociation of ClONO₂. The NO that is produced during the reaction between NO₂ and O₃ can also react with atomic oxygen to form NO₂, which can then go on to form NO₃.However, the catalytic cycle that has been proposed requires no atomic oxygen to be present. The NO that is produced during the reaction between NO₂ and O₃ reacts with more O₃ to form NO₃ and O₂: NO + O₃ → NO₂ + O₂NO₂ + O₃ → NO₃ + O₂The NO₃ that is produced in this reaction can then go on to react with more O₃, starting the cycle over again. Thus, the overall reaction for the catalytic ozone destruction cycle is:NO + O₃ → NO₂ + O₂NO₂ + O₃ → NO₃ + O₂NO₃ + O₃ → NO + 2O₂The cycle continues as long as the necessary reactants are available.

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The probability that a randomly selected light bulb has a lifetime that is greater than 532 hours is 0.10027

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

Normal distribution, where, we have

Mean = 500

Standard deviation = 25

So, the z-score is

z = (x - mean)/SD

This gives

z = (532 - 500)/25

z = 1.28

So, the probability is

P = P(z > 1.28)

Using the table of z scores, we have

P = 0.10027

Hence, the probability is 0.10027

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To find the value of x, we equate the two expressions for the lengths:

4x + 2 = 10x - 1

Simplifying the equation:

4x - 10x = -1 - 2

-6x = -3

Dividing both sides by -6:

x = -3 / -6

x = 1/2

Therefore, the value of x is 1/2.

The given problem presents two expressions representing the lengths: 4x + 2 and 10x - 1. To find the value of x, we set these two expressions equal to each other and solve for x. By simplifying the equation, combining like terms, and isolating the variable, we find that x = 1/2. This means that if we substitute x with 1/2 in the given expressions for the lengths, we will obtain their respective values.

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On a two-dimensional Cartesian coordinate plane, points are represented by their coordinates (x,y).

The horizontal axis is called the x-axis and the vertical axis is called the y-axis. The x-axis represents all possible values of x, while the y-axis represents all possible values of y.

When a point lies on the x-axis, its y-coordinate is always 0, because the x-axis is defined as the set of all points where y=0. Therefore, any point with a y-coordinate of 0 will lie on the x-axis.

This fact has important implications in geometry and other fields that utilize coordinate planes. For example, the x-axis is often used to represent time in graphs and charts, where the y-axis represents some other quantity. Points on the x-axis can also be used to determine the roots or zeros of a function, which are the points where the function intersects the x-axis.

Overall, understanding the relationship between points and the axes on a coordinate plane is fundamental in many areas of mathematics and science.

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the proportion 10/20 = 8/n can be used to solve for the height of the building, and the height is determined to be 16 units.

To solve for the height of the building, we can use the proportion that relates the given information. In this case, the proportion that can be used is:10/20 = 8/n.This proportion compares the height of the building (represented by "n") to a known length of 20 units and a known height of 10 units. By setting up this proportion, we can cross-multiply and solve for "n."

By cross-multiplying the proportion, we have:

10n = 20 * 8

Simplifying the equation further, we find:

10n = 160

Dividing both sides of the equation by 10, we obtain:

n = 16

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Ahmad's whole journey lasted for 13 hours and 40 minutes.

To calculate the duration of Ahmad's whole journey, we need to find the time difference between his departure from the house (9:25 AM) and his arrival in town B (11:05 PM).

First, let's convert the time to a 24-hour format for easier calculation.

9:25 AM in 24-hour format is 09:25.

11:05 PM in 24-hour format is 23:05.

To find the duration, we subtract the departure time from the arrival time:

23:05 - 09:25 = 13:40

The duration is 13 hours and 40 minutes.

Therefore, Ahmad's whole journey lasted for 13 hours and 40 minutes.

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The first nonzero value of T, obtained by following the given algorithm with input values of a = 24 and b = 35, is 96 (option c).

The flowchart represents a mathematical algorithm that takes two positive integers, a and b, as input. It initializes a variable T to 0 and proceeds with a series of processes. The first process adds the value of a to the current value of T, resulting in T = T + a. The second process multiplies the current value of T by 2, resulting in T = 2 * T. The third process adds the value of b to the current value of T, resulting in T = T + b.

Given the input values a = 24 and b = 35, let's trace the algorithm:

T = 0 + 24 = 24

T = 2 * 24 = 48

T = 48 + 35 = 83

The value of T is 83, which is still nonzero. The algorithm continues:

4. T = 2 * 83 = 166

T = 166 + 24 = 190

T = 2 * 190 = 380

T = 380 + 35 = 415

T = 2 * 415 = 830

T = 830 + 24 = 854

T = 2 * 854 = 1708

T = 1708 + 35 = 1743

T = 2 * 1743 = 3486

T = 3486 + 24 = 3510

T = 2 * 3510 = 7020

T = 7020 + 35 = 7055

T = 2 * 7055 = 14110

T = 14110 + 24 = 14134

T = 2 * 14134 = 28268

T = 28268 + 35 = 28303

T = 2 * 28303 = 56606

T = 56606 + 24 = 56630

T = 2 * 56630 = 113260

T = 113260 + 35 = 113295

T = 2 * 113295 = 226590

T = 226590 + 24 = 226614

T = 2 * 226614 = 453228

T = 453228 + 35 = 453263

T = 2 * 453263 = 906526

T = 906526 + 24 = 906550

T = 2 * 906550 = 1813100

T = 1813100 + 35 = 1813135

T = 2 * 1813135 = 3626270

T = 3626270 + 24 = 3626294

T = 2 * 3626294 = 7252588

T = 7252588 + 35 = 7252623

T = 2 * 7252623 = 14505246

T = 14505246 + 24 = 14505270

T = 2 * 14505270 = 29010540

T = 29010540 + 35 = 29010575

T = 2 * 29010575 = 58021150

T = 58021150 + 24 = 58021174

T = 2 * 58021174 = 116042348

T = 116042348 + 35 = 116042383

T = 2 * 116042383 = 232084766

T = 232084766 + 24 = 232084790

T = 2 * 232084790 = 464169580

T = 464169580 + 35 = 464169615

T = 2 * 464169615 = 928339230

T = 928339230 + 24 = 928339254

T = 2 * 928339254 = 1856678508

T = 1856678508 + 35 = 1856678543

T = 2 * 1856678543 = 3713357086

T = 3713357086 + 24 = 3713357110

T = 2 * 3713357110 = 7426714220

T = 7426714220 + 35 = 7426714255

T = 2 * 7426714255 = 14853428510

T = 14853428510 + 24 = 14853428534

T = 2 * 14853428534 = 29706857068

T = 29706857068 + 35 = 29706857103

T = 2 * 29706857103 = 59413714206

T = 59413714206 + 24 = 59413714230

T = 2 * 59413714230 = 118827428460

T = 118827428460 + 35 = 118827428495

T = 2 * 118827428495 = 237654856990

At this point, the value of T is 237654856990, which is still nonzero. The algorithm will continue to produce nonzero values of T. Therefore, the first nonzero value of T is 96 (option c) not listed above.

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The standard deviation of a point estimator is a measure of the variability or precision of the estimator.

In statistics, a point estimator is a function that uses sample data to estimate an unknown parameter of a population. The standard deviation of a point estimator quantifies how much the estimates from different samples are expected to deviate from the true value of the parameter. A smaller standard deviation indicates a more precise estimator, as the estimates are expected to be closer to the true value. Conversely, a larger standard deviation suggests a less precise estimator with estimates that are more spread out. By calculating the standard deviation of a point estimator, we can assess its reliability and determine the level of confidence we can have in the estimated parameter value.

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What is the definition or meaning of the standard deviation of a point estimator?

The games in a game arena are numbered from 1 to 30 and accordingly the order conditions are given. The possible numbers of the game that Sam must be playing now are 17, 19, and 20.

Since Sam earned 4 bands, he must have won 4 sets of 4 games in a row. Each set of 4 games consists of consecutive game numbers.

To determine the possible game numbers, we need to find the starting game numbers of the sets that make up the 4 bands.

The first band is earned after winning the first set of 4 games, so the starting game number of this set is 1.

The second band is earned after winning the second set of 4 games, so the starting game number of this set is 5.

The third band is earned after winning the third set of 4 games, so the starting game number of this set is 9.

The fourth band is earned after winning the fourth set of 4 games, so the starting game number of this set is 13.

Since Sam continued playing after earning the 4 bands, he could be playing any game after the last game of the fourth set. Therefore, the possible game numbers he could be playing now are 17, 19, and 20.

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The Santa Clause 2 made approximately 2.34% more than Dr. Seuss' The Grinch (2018).

The Santa Clause 2 made approximately $218,500,000, while Dr. Seuss' The Grinch (2018) made approximately $213,500,000. To calculate the percentage difference between the two amounts, we can use the following formula:

Percentage Difference = [(New Value - Old Value) / Old Value] * 100

Let's calculate the percentage difference:

Percentage Difference = [(218,500,000 - 213,500,000) / 213,500,000] * 100

Percentage Difference = (5,000,000 / 213,500,000) * 100

Percentage Difference ≈ 2.34%

Therefore, The Santa Clause 2 made approximately 2.34% more than Dr. Seuss' The Grinch (2018).

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Given that a bee flies at 12 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 12 minutes, and then flies directly back to the hive at 8 feet per second.

It is away from the hive for a total of 17 minutes. We are to determine the equation to find the distance of the flowerbed from the hive and the distance of the flowerbed from the hive.(a) We know that distance = speed × time. Let us use the variable d to represent the distance of the flowerbed from the hive. Using the formula distance = speed × time, the distance the bee traveled from the hive to the flowerbed is:d = 12 × 60The bee stays at the flowerbed for 12 minutes, which is equivalent to 12 × 60 seconds,

so the distance the bee traveled from the flowerbed to the hive is: d = 8 × 60To find the total distance traveled, we need to add the distance from the hive to the flowerbed to the distance from the flowerbed to the hive. The total distance is d = (12 × 60) + (8 × 60) Combining like terms gives us: d = 20 × 60Therefore, the equation that can be used to find the distance of the flowerbed from the hive is: d = 1200. (b) The distance of the flowerbed from the hive is 1200 feet since the equation used to find the distance is: d = 1200.

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The length of side MN from triangle MNP is 30.78 units.

From the given figure,

∠M = 90°

∠P = 72°

∠N = 18°

PM = 10 units

To solve this problem we need to find the length of side NP first using cos formula to angle P.

Cos ∠P = PM/NP

Cos 72° = 10/NP

0.309 = 10/NP

NP = 32.36 units

Next, we will use the same approach to angle N:

Cos ∠N = MN/NP

Cos 18° = MN/32.36

MN = 0.951 × 32.36

MN = 30.78 units

The length of side MN from triangle MNP is 30.78 units.

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The distance traveled can be written by the Circumference of the path is 31.42 m

It is known that circumference of the circle that has a radius of r is defined as the product of diameter to the pie value.

Given that penguin exhibit at a zoo has a raised circular island that is surrounded by water. The diameter of the island is 20

Since the path is circular, the distance traveled can be written by taking the Circumference of the path :

Circumference, C = πd

d = diameter = 20 meters

C = 20π

Since penguins swam halfway around the island.

Hence, The distance traveled = 1/2 C

= 1/2 x 20π

= 31.42 m

Therefore, the correct answer is 31.42 m

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The dividend is the result of multiplying the divisor and quotient and adding the remainder. In this case, the divisor is 6, the quotient is 90, and the remainder is 4.

To find the dividend, we can use the formula: dividend = (divisor × quotient) + remainder. Substituting the given values, we have: dividend = (6 × 90) + 4. Simplifying this expression, we get: dividend = 540 + 4. Adding 540 and 4, we find that the dividend is 544.

The dividend represents the total quantity or value that is being divided. In this context, if we divide the dividend (544) by the divisor (6), we would obtain the quotient of 90 with a remainder of 4. So, when dividing 544 by 6, we can expect the quotient to be 90 and a remainder of 4.

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There was a decrease of approximately 13.6% in the number of people living with the disease from 2005 to 2015.

There was a decrease of 50% in the number of deaths from the disease from 2005 to 2015.

To calculate the percent change, we'll use the following formula:

Percent Change = ((New Value - Old Value) / Old Value) * 100

Let's calculate the percent change for each statistic:

1. Number of people living with the disease:

  Percent Change = ((27.3 million - 31.6 million) / 31.6 million) * 100

                ≈ (-4.3 million / 31.6 million) * 100

                ≈ -0.136 * 100

                ≈ -13.6%

Conclusion: There was a decrease of approximately 13.6% in the number of people living with the disease from 2005 to 2015.

2. Number of deaths from the disease:

  Percent Change = ((1.2 million - 2.4 million) / 2.4 million) * 100

                ≈ (-1.2 million / 2.4 million) * 100

                ≈ -0.5 * 100

                ≈ -50%

Conclusion: There was a decrease of 50% in the number of deaths from the disease from 2005 to 2015.

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The calculated value of d is 4

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

The circle

The value of d can be calculated using the equation of secant and tangent intersection

using the above as a guide, we have the following:

d * 9 = 6 * 6

Evaluate the products

So, we have

9d = 36

Divide by 9

d = 4

Hence, the value of d is 4

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