Your parents decide that they will help you out the first two months you are at college
by helping you buy groceries for your meals, but they won't cover the cost of you going
out to eat at restaurants or fast food.
for the first month you submit your receipts, 13 are for fast food and four for kroger, and
totaled $487. the second month you submit receipts for six fast food meals and two for
kroger, and totaled $232. the receipts do not list the per-item price.
a. write the two equations for the cost of buying groceries and meals. (4 points)
• 13f + 4k = 487
• 65+2k = 232
i
b. what were the average costs of one fast food meal and of one trip to kroger?
show your work and justify your thinking. (6 points)

The situation represents exponential decay.

The rate of growth or decay, r, is equal to 0.02.

So the depth of the lake each year is 0.98 times the depth in the previous year.

It will take between 11 and 12 years for the depth of the lake to reach 26. 7 meters.

The situation represents exponential decay, as the depth of the lake decreases by a constant percentage each year. The rate of decay is 2% per year, so the rate of growth or decay, r, is equal to 0.98 (1 - 0.02). This means that the depth of the lake each year is 0.98 times the depth in the previous year.

To find the number of years it will take for the depth of the lake to reach 26.7 meters, we can use the formula for exponential decay:\

D = D₀ *[tex]e^{(-rt)[/tex]

where D is the current depth, D₀ is the initial depth, r is the rate of decay, and t is the number of years.

Substituting the given values, we get:

26.7 = 30 * [tex]e^{(-0.02t)[/tex]

Solving for t, we get:

t = ln(26.7/30) / (-0.02) ≈ 11.33

Therefore, it will take between 11 and 12 years for the depth of the lake to reach 26.7 meters.

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Answer:

Subtract 1 from both sides.

Answer:

subtract 1 from both sides. because taking out the 1 from 1 and 1 from 17 will equal 16. which leaves t/4=16

The measure of arc AB is 120 degrees.

What is meant by an arc?

An arc refers to a portion of the circumference of a circle or an ellipse. It is measured in degrees and can be used to calculate the length of the curve.

What is the term measure?

The term "measure" refers to the size or circumference of a geometric object, such as length, area, or volume. It is a numerical value that quantifies the measured property.

According to the given information

Let O be the centre of the circle. Since AB is parallel to CD, we have angles ACD and ADC that are equal since they are alternate interior angles. Therefore, the angle ACD is also 42 degrees.

Let x be the measure of arc AB, and then the measure of arc CD is 2x. Since the sum of the measures of arcs AB and CD is equal to the total circumference of the circle, we have:

x + 2x = 360 degrees

3x = 360 degrees

x = 120 degrees

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Answer:

12

Step-by-step explanation:

multiply 4x18 then divide by 6

The percent of error in the measurement is 8%. This means that the measured value of 5.52 miles is 8% less than the actual distance of 6 miles.

To find the percent of error, we need to calculate the difference between the measured value and the actual value, divide that by the actual value, and then multiply by 100 to convert to a percentage.

Actual distance around the neighborhood = 6 miles

Measured distance around the neighborhood = 5.52 miles

Difference = Actual distance - Measured distance

Difference = 6 miles - 5.52 miles

Difference = 0.48 miles

Percent of error = (|Difference| / Actual distance) x 100%

Percent of error = (|0.48| / 6) x 100%

Percent of error = 0.08 x 100%

Percent of error = 8%

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Riley and her family move from the Midwest all the way to San Francisco. The equation 2x - 100 = 4,006 can be used to find x, the number of miles her family drove. Riley's family drove 2,053 miles from the Midwest to San Francisco.

Find the number of miles Riley's family drove from the Midwest to San Francisco, we need to solve the equation 2x - 100 = 4,006 for x.
First, we'll add 100 to both sides of the equation to isolate the variable term:
2x - 100 + 100 = 4,006 + 100
Simplifying:
2x = 4,106
isolate x, we'll divide both sides of the equation by 2:
2x/2 = 4,106/2
Simplifying:
x = 2,053
Therefore, Riley's family drove 2,053 miles from the Midwest to San Francisco.

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To maintain the same ratio of Fuji apple trees to Gala apple trees, the owners of Hillsdale Orchard should: plant 12 new Fuji apple trees when they plant 30 new Gala apple trees.

To find the number of new Fuji apple trees that the owners of Hillsdale Orchard should plant to maintain the same ratio of Fuji apple trees to Gala apple trees, we need to use a ratio table.

First, we need to determine the ratio of Fuji apple trees to Gala apple trees before the new trees are planted. Let's assume that there are currently 40 Fuji apple trees and 100 Gala apple trees. The ratio of Fuji apple trees to Gala apple trees is therefore 40:100, which can be simplified to 2:5.

Next, we need to use this ratio to determine the number of new Fuji apple trees that need to be planted. Since the owners are planting 30 new Gala apple trees, we can use the ratio of 2:5 to find the corresponding number of new Fuji apple trees.

To do this, we need to divide the number of new Gala apple trees by the denominator of the ratio (which represents the number of units of the ratio). In this case, the denominator is 5.

30 (new Gala apple trees) ÷ 5 (denominator) = 6

This means that for every 5 new Gala apple trees, the owners should plant 2 new Fuji apple trees. Therefore, the owners should plant 12 new Fuji apple trees (2 trees for every 5 new Gala apple trees, multiplied by the 30 new Gala apple trees being planted).

In summary, to maintain the same ratio of Fuji apple trees to Gala apple trees, the owners of Hillsdale Orchard should plant 12 new Fuji apple trees when they plant 30 new Gala apple trees.

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Answer: 2

Step-by-step explanation:

Answer:

[tex] \frac{dy}{dx} = \frac{4}{9} [/tex]

Step-by-step explanation:

sol,

2x+3y-6x+6y=0

f(x,y)=2x+3y-6x+6y

f(X,-y)=2x+3y-6y,fx=?

f(x-y)=2x+3y-6y,fy=?

fx=-4

fy=9

[tex] \frac{d}{y} = \frac{ - 4}{9} [/tex]

now,

[tex] \frac{dy}{dx} = \frac{4}{9} [/tex]

The maximum walking speed of a giraffe with a leg of 6 feet is approximately 1.41 times greater than that of a hippopotamus with a leg of 3 feet.

The equation given in the problem, S= square root of gL, represents the maximum walking speed S of an animal with a leg of length L. To find the ratio of the maximum walking speed of a giraffe with a leg of 6 feet to that of a hippopotamus with a leg of 3 feet, we can plug in the values of g and L for each animal and calculate the ratio.

For the giraffe: S = √(g6) = √(326) ≈ 9.8 ft/sec

For the hippopotamus: S = √(g3) = √(323) ≈ 5.7 ft/sec

So the ratio of the maximum walking speed of a giraffe with a leg of 6 feet to that of a hippopotamus with a leg of 3 feet is approximately 9.8/5.7 ≈ 1.72 or 1.41 to the nearest hundredth.

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The test statistic for the appropriate test of significance is 2.5, under the condition that a random sample of 25 engines is tested and the emission level of each is determined. Then the  mean sample is evaluated to be 20. 4 ppm and the sample standard deviation is calculated to be 2.0 ppm

The test statistics can be derived into the formula

t = (x'- μ) / (s / √n)

Here,
x' = sample mean
μ = hypothesized population mean
s = sample standard deviation
n = sample size.

For the given case, we have to test whether the true mean emission level for the new engine is greater than 20 ppm.
Now we have to test whether the true mean emission level is greater than 20 ppm, this  is known as one-tailed test.
Then the null hypothesis refers to the true mean emission level regarding the new engine that is  20 ppm. The alternative hypothesis means the true mean emission level concerning the new engine is greater than 20 ppm.

Applying a significance level of 0.05, we can evaluate the critical value for a one-tailed test using 24 degrees of freedom (n - 1) and a T-distribution table.
Then the  critical value is 1.711.

Then the given test statistic of 2.5 is greater than the critical value of 1.711, so we have to deny the null hypothesis and conclude that there is sufficient evidence to suggest that the true mean emission level for the new engine is greater than 20 ppm.
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The volume of the material used to make the insulated collar is 1060.56 cubic inches.

The volume of the material used to make the insulated collar can be determined as follows.

1. Identify the given dimensions:

inner radius (r) = 3 inches,

outer radius (R) = 5 inches, and

height (h) = 21 inches.

2. Use the formula for the volume of a cylinder:

V = πr^2h.

3. Calculate the volume of the outer cylinder with radius R:

V_outer = πR^2h = 3.14 * (5^2) * 21 ≈ 1653.3 cubic inches.

4. Calculate the volume of the inner cylinder with radius r:

V_inner = πr^2h = 3.14 * (3^2) * 21 ≈ 592.74 cubic inches.

5. Subtract the volume of the inner cylinder from the volume of the outer cylinder to find the volume of the material used:

V_material = V_outer - V_inner ≈ 1653.3 - 592.74 ≈ 1060.56 cubic inches.

The volume of the material is approximately 1060.56 cubic inches, rounded to the nearest hundredth.

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La probabilidad de sacar un producto defectuoso al azar de las tres cajas es aproximadamente 0.0917, o un 9.17%.

La probabilidad de sacar un producto defectuoso al azar de las tres cajas se puede calcular utilizando la fórmula de la probabilidad.

Primero, calculemos la probabilidad de sacar un producto defectuoso de cada caja:

1. En la primera caja, hay 3 productos defectuosos entre 20 productos en total. La probabilidad es 3/20.

2. En la segunda caja, hay 2 productos defectuosos entre 16 productos en total. La probabilidad es 2/16.

3. En la tercera caja, no hay productos defectuosos entre 10 productos en total. La probabilidad es 0/10.

Para encontrar la probabilidad total, sumamos las probabilidades de cada caja y luego dividimos por el número total de cajas:

(3/20 + 2/16 + 0/10) / 3 ≈ (0.15 + 0.125 + 0) / 3 ≈ 0.0917

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Answer:

United States medals to Soviet Union medals:

Fraction: 1211/1010

Decimal: 1.198

Percent: 119.8%

Soviet Union medals to Great Britain medals:

Fraction: 1010/867

Decimal: 1.165

Percent: 116.5%

United States medals to Great Britain medals:

Fraction: 1211/867

Decimal: 1.397

Percent: 139.7%

The number of countries that have won between 2,250 and 2,499 total medals to the number of countries that have won between 0 and 249 total medals:

Fraction: 2/1

Decimal: 2

Percent: 200%

Only one country participating in the Summer Olympics has never won a medal. Write a comparison of the number of countries that have never won a medal to the number of participating countries:

Fraction: 1/205

Decimal: 0.00488

Percent: 0.488%

Step-by-step explanation =

United States medals to Soviet Union medals:

The fraction represents the ratio of medals won by the United States to those won by the Soviet Union. To find it, you can divide the number of medals won by the United States (1,211) by the number of medals won by the Soviet Union (1,010): 1211/1010.

To convert this fraction to a decimal, divide the numerator (1211) by the denominator (1010): 1.198.

To convert the decimal to a percent, multiply it by 100: 119.8%.

Soviet Union medals to Great Britain medals:

The fraction represents the ratio of medals won by the Soviet Union to those won by Great Britain. To find it, you can divide the number of medals won by the Soviet Union (1,010) by the number of medals won by Great Britain (867): 1010/867.

To convert this fraction to a decimal, divide the numerator (1010) by the denominator (867): 1.165.

To convert the decimal to a percent, multiply it by 100: 116.5%.

United States medals to Great Britain medals:

The fraction represents the ratio of medals won by the United States to those won by Great Britain. To find it, you can divide the number of medals won by the United States (1,211) by the number of medals won by Great Britain (867): 1211/867.

To convert this fraction to a decimal, divide the numerator (1211) by the denominator (867): 1.397.

To convert the decimal to a percent, multiply it by 100: 139.7%.

The number of countries that have won between 2,250 and 2,499 total medals to the number of countries that have won between 0 and 249 total medals:

The fractions represent the ratios of the number of countries that have won between two ranges of total medals. To find these fractions, you need to count the number of countries that fall into each range, and then divide one by the other. According to the information provided, there are 2 countries that have won between 2,250 and 2,499 total medals, and 1 country that has won between 0 and 249 total medals. So the fraction is 2/1.

To convert this fraction to a decimal, divide the numerator (2) by the denominator (1): 2.

To convert the decimal to a percent, multiply it by 100: 200%.

Only one country participating in the Summer Olympics has never won a medal. Write a comparison of the number of countries that have never won a medal to the number of participating countries:

The fraction represents the ratio of the number of countries that have never won a medal to the total number of participating countries. According to the information provided, only one country has never won a medal, and there are 205 participating countries. So the fraction is 1/205.

To convert this fraction to a decimal, divide the numerator (1) by the denominator (205): 0.00488.

To convert the decimal to a percent, multiply it by 100: 0.488%.

To find the estimated probability that it will take at least five patients to find one patient on whom the medicine would not be effective, we can use the geometric distribution. The probability of not curing the disease is 1 - 0.70 = 0.30.

Let X be the number of patients needed to find one patient on whom the medicine would not be effective. Then X follows a geometric distribution with p = 0.30. The probability that it will take at least five patients to find one patient on whom the medicine would not be effective is:

P(X ≥ 5) = (1 - p)^(5-1) = 0.7^4 ≈ 0.2401

Therefore, the estimated probability that it will take at least five patients to find one patient on whom the medicine would not be effective is approximately 0.2401.

To find the estimated probability that the medicine will be effective on exactly three out of four randomly selected patients, we can use the binomial distribution. Let X be the number of patients out of four who are cured by the medicine. Then X follows a binomial distribution with n = 4 and p = 0.70. The probability that the medicine will be effective on exactly three out of four randomly selected patients is:

P(X = 3) = (4 choose 3) * (0.70)^3 * (1 - 0.70)^(4-3) = 4 * 0.343 * 0.3^1 ≈ 0.4116

Therefore, the estimated probability that the medicine will be effective on exactly three out of four randomly selected patients is approximately 0.4116.

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Identify the best deal for each item

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The probability of being assigned all hardback books is approximately 0.33 or 33%.

This can be done by combination formula C(n,r) = n!/(r!(n-r)!)

The total number of ways to choose three books from a list of 14 books is given by the combination formula,

C(14,3) =14!/(3!(14-3)!) =  (141312) / (321) = 364.

To find the probability of selecting all hardback books, we need to determine the number of ways to select 3 books from the 10 hardback books. This is given by the combination formula,

C(10,3) = 10!/(3!(10-3)!) = 1098 / (321) = 120.

Therefore, the probability of selecting all hardback books is:

P(all hardback) = C(10,3) / C(14,3) = 120/364 = 0.3297

So, the probability of being assigned all hardback books is approximately 0.33 or 33%. This means that out of all possible combinations of 3 books, about 33% will consist of only hardback books.

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Step 1: Examine the frequency table

Take a look at the frequency table provided and make sure you understand what it represents. The table should have two columns, one for food preference (hamburgers, burritos, or both) and one for frequency.

Step 2: Complete the frequency table

Complete the frequency table by filling in the missing values. You can do this by using the information provided in the problem statement. Remember that the total frequency should add up to the total number of survey respondents.

Step 3: Calculate percentages

Once the frequency table is complete, you can calculate the percentage of survey respondents who do not like both hamburgers and burritos. To do this, add up the frequency of respondents who selected "hamburgers only," "burritos only," and "neither" (since these respondents do not like both hamburgers and burritos), and divide by the total number of survey respondents. Multiply by 100 to convert to a percentage.

Step 4: Calculate marginal relative frequencies

To calculate the marginal relative frequency of all customers that like hamburgers, you need to divide the frequency of respondents who like hamburgers by the total number of survey respondents. This will give you a percentage.

Step 5: Use conditional relative frequencies

To determine which data point has the strongest association of its two factors, you can use conditional relative frequencies. To calculate the conditional relative frequency of, say, respondents who like hamburgers given that they also like burritos, you need to divide the frequency of respondents who like both hamburgers and burritos by the frequency of respondents who like burritos. Repeat this process for each combination of food preferences.

Step 6: Analyze the data

Based on the conditional relative frequencies you calculated, determine which data point has the strongest association of its two factors. In other words, which combination of food preferences is most likely to occur together? Explain your answer in complete sentences, using the data you calculated to support your reasoning.

I hope this helps! Let me know if you have any further questions or need additional assistance.

The velocity v = ds/dt in terms of t and the position s is: [tex]v = 15t^{(3/2)} - 8t^{(1/2)} + 6[/tex] and [tex]s = 5t^{(5/2)} - 16t^{(3/2)} + 6t + 27[/tex] respectively.

To find the velocity v = ds/dt in terms of t and the position s, we first need to integrate the acceleration equation with respect to time to get the velocity equation:

d²s/dt² = 30 sqrt(t) – 12/ sqrt(t)

Integrating both sides with respect to t, we get:

ds/dt = 30/2 * t^(3/2) - 12 * 2/3 * t^(1/2) + C₁

where C₁ is the constant of integration.

Using the condition ds/dt = 12 when t = 1, we can solve for C₁:

12 = 30/2 * 1^(3/2) - 12 * 2/3 * 1^(1/2) + C₁

C₁ = 6

Substituting this value of C₁ back into the velocity equation, we get:

ds/dt = 15t^(3/2) - 8t^(1/2) + 6

Now, we can integrate the velocity equation to get the position equation:

s = 5t^(5/2) - 16t^(3/2) + 6t + C₂

where C₂ is the constant of integration.

Using the condition s = 16 when t = 1, we can solve for C₂:

16 = 51^(5/2) - 161^(3/2) + 6*1 + C₂

C₂ = 27

Substituting this value of C₂ back into the position equation, we get:

s = 5t^(5/2) - 16t^(3/2) + 6t + 27

Therefore, the velocity v = ds/dt in terms of t and the position s is: v = 15t^(3/2) - 8t^(1/2) + 6 and s = 5t^(5/2) - 16t^(3/2) + 6t + 27 respectively.

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Some good food options that could fit within $500 budget for 50 guests are Sandwich platters, Pizza, Tacos or burritos, Pasta, Finger foods.

With a $500 budget for 50 guests, you have approximately $10 per person for the food. Here are some food options that could fit within this budget:

Sandwich platters: You can order a variety of sandwich platters from a catering company or grocery store. These usually cost around $6-8 per person, leaving you with some money for drinks and dessert.

Pizza: You can order a few large pizzas for the group. Depending on the toppings and where you order from, this could cost around $10 per person.

Tacos or burritos: You can order a taco or burrito bar from a catering company or make them yourself. This could cost around $8-10 per person.

Pasta: You can make a large pot of pasta and serve it with salad and bread. This could cost around $5-8 per person.

Finger foods: You can make a variety of finger foods, such as chicken wings, meatballs, and vegetable platters. This could cost around $7-10 per person.

Remember to also consider any dietary restrictions or allergies your guests may have and provide options that accommodate those needs.

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The value of a is -16

If α and β are zeroes of the quadratic equation x²-6x+a, then we know that:

α + β = 6

α * β = a

We are also given that 3α + 2β = 20.

3α + 2β = 20

3(α + β) - α = 20

3(6) - α = 20

18 -α = 20

18 - 20 = α

α = -2

Substituting α = -2 into the equation α + β = 6, we get:

- 2 + β = 6

beta = 8

Therefore, α = -2 and β = 8, and we can find a using the equation α * β = a:

a = α * β

= - 2 * 8

= 16

Therefore, the value of a is -16

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56 Sundays Maths Ice Cream Shop can serve with 7 cups of sprinkles using one-eighth (1/8) cup of sprinkles per Sunday.

Converting the cups of sprinkles into eighths:

  7 cups × 8 eighths/cup

= 56 eighths

Dividing the total eighths by the eighths used per Sunday:

  56 eighths / (1/8 cup per Sunday)

= 56 Sundays

So, Maths Ice Cream Shop can serve for 56 Sundays using 7 cups of sprinkles with each Sunday serving one-eighth cup of sprinkles.

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The value of angle LQ in the intersected arc is 34 degrees.

If two secants intersect in the interior of a circle, then the measure of each angle formed is half the sum of the measures of its intercepted arcs.

Therefore, let's find the arc angle LQ as follows:

let

x = arc angle LQ

m∠U = 1 / 2 (108 - x)

37 = 54 - 0.5x

subtract 54 from both sides of the equation

37 = 54 - 0.5x

37 - 54 = 54 - 54 - 0.5x

-17 = -0.5x

divide both sides by -0.5

x = -17 / -0.5

x = 34 degrees

Therefore,

arc angle LQ = 34 degrees

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The area of the playground include the following: 900 square yards.

In Mathematics and Geometry, the area of a regular polygon can be calculated by using this formula:

Area = (n × s × a)/2

Where:

In Mathematics and Geometry, the area of a parallelogram can be calculated by using the following formula:

Area of a parallelogram, A = base area × height

Area of playground, A = 45 × 20

Area of a playground, A = 900 square yards.

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The chances of success in cycling across the United States is higher on the central route because more than half of the people who started on this route finished it (52%), while on the other routes the chances of successful completion is lower (route north (0%) south (0.02%).

According to the above, to find the probability of success in crossing the United States from coast to coast, we must divide the number of successful attempts by the total number of attempts as shown below:

North Route

0 ÷ 2 = 0

Center Route

10 ÷ 19 = 0.52

South Route

1 ÷ 39 = 0.025

According to the above, the highest probability of success is found in the central route with 0.52, that is to say that more than half of those who tried this route finished.

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Part A: In the given scenario, the expression (32 + 2x) represents the rental price charged by the equipment rental business after x price increases of $2 each. The initial rental price is $32, and for every $2 increase in rental price, the rental price is raised by 2 units. The expression (24 – x) represents the number of rentals the equipment rental business can expect to make after x price increases. As the rental price increases, the number of customers is expected to decrease by one rental for every $2 increase in rental price.

Part B: To find the revenue after 3 rental price increases, we need to calculate f(3), where f(x) = (32 + 2x)(24 – x).

Substituting x = 3, we get:

f(3) = (32 + 2(3))(24 – 3) = (32 + 6)(21) = 38 × 21 = $798

Therefore, the revenue after 3 rental price increases is $798.

Part C: To find the rental price that would give the maximum revenue for the company, we need to find the value of x that maximizes the function f(x) = (32 + 2x)(24 – x). We can do this by finding the critical points of the function, which occur when the derivative of the function is equal to zero:

f'(x) = (32 + 2x)(-1) + (24 - x)(2) = -32 + 16x + 48 - 2x = 14x + 16

Setting f'(x) = 0 and solving for x, we get:

14x + 16 = 0

[tex]x = \frac{-16}{14} = \frac{-8}{7}[/tex]

However, [tex]x = \frac{-8}{7}[/tex] is not a valid solution since it represents a negative number of rental price increases, which is not possible in this scenario. Therefore, we need to test the endpoints of the interval [0, 6], since x represents the number of rental price increases and cannot exceed 6 (which would result in a rental price of $44, the maximum price in this scenario).

f(0) = (32 + 2(0))(24 - 0) = 32 × 24 = $768

f(6) = (32 + 2(6))(24 - 6) = 44 × 18 = $792

Comparing the values of f(0), f(3), and f(6), we see that f(6) gives the maximum revenue of $792. Therefore, the rental price that would give the maximum revenue for the company is $44, which is the rental price after 6 price increases of $2 each.

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a = 5

b = 4

c= 0

Therefore, the equation for graph C is Y = a ^b + c

Y = 5 ^4 + 0

A graph is described as a diagram showing the relation between variable quantities, typically of two variables, each measured along one of a pair of axes at right angles.

Graphs are a popular tool for graphically illuminating data relationships.

A graph serves the purpose of presenting data that are either too numerous or complex to be properly described in the text while taking up less room.

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The degree of the polynomial is 5.

The degree of a polynomial is the maximum exponent of the polynomial.

In cases where we have more than one variable in the same term, we need to add the exponents of the variables.

Here we have:

[tex]-8^3 xy^4[/tex]

The exponents are:

x ----> 1

[tex]y^4 ---- > 4[/tex]

Adding that: 4 + 1 = 5

the degree is 5.

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Without a diagram or additional information, it is impossible to determine the value of the x-coordinate of point A.

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Answer:

[tex] \frac{7 \sqrt{39} }{5} [/tex]

Step-by-step explanation:

Use the Pythagorean theorem:

[tex]( {11.2})^{2} - { {7} }^{2} = 76.44 > 0[/tex]

The missing side is equal to:

[tex] \sqrt{76.44} = \frac{7 \sqrt{39} }{5} [/tex]

The volume of the rectangular prism is 31.5 in³.

From the diagram, we know that the height of the rectangular prism is 9 cubes. We can see the length is 7 cubes and the width is 4 cubes. Each cube is half an inch. Therefore we multiply every side by 1/2.

Height = 9 × (1/2)

Height = 4.5 inches

Length = 7 × (1/2)

Length = 3.5 inches

Width = 4 × (1/2)

Width = 2 inches

Volume = L × W × H

Volume = 3.5 × 2 × 4.5

Volume = 31.5 inches³

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