find the edge of cube whose volume is 1728cm³​

The distance from the airport to his cousin’s house is 30 miles. On his map, the distance was 4 inches.

Scale factor is 1 inch: 475200 inches

Given :

The distance from the airport to his cousin’s house is 30 miles. On his map, the distance was 4 inches

we know that scale factor is inches by number of miles

number of miles times scale factor = distance in inches

scale factor =distance in inches / number of miles

\(scale \; factor \; is \; \frac{ 4}{30}\)

Divide 4  an 30 by 2 so we get

\(\frac{2}{15}\)

Scale factor is 2 inches : 15 miles

To get scale factor in feet then we multiply 15 by 5280

Scale factor is 2 : 79200 feet

To convert into inches we multiply 15 by   63360

Scale factor is 2: 950400

or 1: 475200

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Answer

C

Area of a circle is pi r to the power of 2.

so the radius is 6

so pi(6)^2= 36pi

Answer:

See below

Step-by-step explanation:

Odds AGAINST are 3 to5        then odds FOR are  2 to 5

    2/5   = .4 = 40%   chance of winning

Answer:

x = 4

Step-by-step explanation:

\(\dfrac{1}{5}*(2x + 92) = 5x\)

Multiply the equation by 5

\(5* \dfrac{1}{5}*(2x +92) =5x*5\\\\ 2x + 92 = 25x\)

Subtract 2x from both sides

92 = 25x - 2x

92 = 23x

Divide both sides by 23

92/23 = 23x/23

4 = x

x = 4

Answer:

13/15

Step-by-step explanation:

Hi,

To add fractions, you have to have common denominators. In this case, 7/10 and 1/6 can have a common denominator of 30.

7/10 = 21/30

1/6 = 5/30

Now, you can add straight across...

21/30 + 5/30 = 26/30

Simplify:

26/30 is the same thing as 13/15

Hope this helps :)

Answer:

  8.86×10⁸

Step-by-step explanation:

The most significant digit of the number is in the hundred millions place. The exponent of 10 associated with that number place is 8, so the multiplier in scientific notation is 10^8.

The significant digits of the number are written with one of them to the left of the decimal point. The power of ten multiplier is that associated with the place value of the most-significant digit.

  886 million = 8.86×10⁸

The pattern of the data indicates a linear relationship or strong positive correlation between the average house prices and average monthly payments.

The monthly payment for a house costing $450,000 is $3,600.

A formulate connecting the average monthly payment with the average house price in slope-intercept form is y = 0.008x.

In Mathematics, a proportional relationship can be represented by this equation:

y = kx

Where:

Next, we would determine the constant of proportionality (k) as follows:

Constant of proportionality (k) = y/x

Constant of proportionality (k) = 8/1000

Constant of proportionality (k) = 1/125 or 0.008.

Therefore, a formula that connects the two variables is given by;

y = kx

y = 0.008x

When average house price (x) = $450,000, the average monthly payment (y) is given by:

y = 0.008(450,000)

y = $3,600.

In conclusion, we can logically deduce that the pattern of the data shows a linear relationship or strong positive correlation between the average house prices (x) and average monthly payments (y) because as the average house prices (x) increases, the average monthly payments (y) also increases.

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Answer:

No

Step-by-step explanation:

It is not being multiplyed evenly on both sides with each other

Answer: We are asked to evaluate 1/9 of 3/8. This means we have to multiply 1/9 and 3/8. The product of the two factors is 3/ 72. Seeing the two factors on the other hand, we can cancel out 3. Hence the final answer to this problem in lowest terms becomes 1/24.

Step-by-step explanation:

Answer:

460

Step-by-step explanation:

A symbol that could be written in both circles in order to represent this system algebraically include the following: C. <.

In Mathematics, there are several rules that are generally used for writing and interpreting an inequality or system of inequalities that are plotted on a graph and these include the following:

In this context, we can logically deduce that the most appropriate inequality symbol to represent the solution to the system of inequalities is the less than (<) because the dashed boundary lines are shaded below.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The inverse of the function is f-1(P) = 5P / (6P + 1).

Given, the function P = f(x) = 5x / (6x + 1)

To find the inverse of the function, let's use the following steps:

Replace P with x in the function:

P = 5x / (6x + 1) ⇒ x

= 5P / (6P + 1)

Interchange x and P:

x = 5P / (6P + 1) ⇒ P

= 5x / (6x + 1)

Therefore, the inverse of the function P = f(x) = 5x / (6x + 1) is:

f-1(P) = 5P / (6P + 1)

Hence, the required answer is f-1(P) = 5P / (6P + 1).

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In the bridge, when the south has 13 points and 3 clubs and bids 1 club, the north responding with 3 clubs means that the North has a strong hand with six or more clubs.

In the game of bridge, bidding is a method of indicating the strength of a player's hand, which is the number of tricks that they believe they can win if they become the declarer. Every player has to declare their abilities based on the bid of the previous player when it is their turn to bid.

The bidding starts with the dealer and proceeds in a clockwise direction. The players can either make a bid or pass. The following are the four basic bids in Bridge:

When South has 13 points and 3 clubs, he makes a 1 Club bid. This bid can be interpreted as follows:

South has a strong hand with five or more clubs and 13 to 21 high card points. When South bids 1 Club, he implies that he has a balanced hand, which means that he has four cards in each suit, or an unbalanced hand, which means that he has a long suit, a singleton, or a void in some other suit.

When North responds with 3 Clubs, it means that he has a strong hand with six or more clubs. North has understood that South has five or more clubs and therefore responds with the number of clubs that he has in his hand to show that he is strong enough to support South's suit. Thus, North is trying to force South to become the declarer in clubs.

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The population after 11 years will be  56,181.

The rate of increase of the population would be represented with an exponential equation.

An exponential equation can be described as an equation with exponents. The exponent is usually a variable.

The general form of exponential equation is f(x) = \(e^{x}\)

Where:

Population after t years = \(p(1 + r)^{t}\)

Where:

= \(32,000(1 + 0.0525)^{11}\)

= \(32,000(1.0525)^{11}\)

= 56,181

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The reflected over the line is = (4,0)

hence, as y=x by taking the symmetry= (4,0)

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Given functions are; f(n) = 2na, g(n) = nIgn, and k(n) = Vn³. We are to evaluate the options, so; Option a): f(n) = O(g(n))

This means that the function f(n) grows at the same rate or slower than g(n) or the growth of f(n) is bounded by the growth of g(n).

Comparing the functions f(n) and g(n), we can find that the degree of f(n) is larger than g(n), so f(n) grows faster than g(n). Hence, f(n) = O(g(n)) is not valid.

Option b): f(n) = O(k(n))This means that the function f(n) grows at the same rate or slower than k(n) or the growth of f(n) is bounded by the growth of k(n).

Comparing the functions f(n) and k(n), we can find that the degree of f(n) is smaller than k(n), so f(n) grows slower than k(n). Hence, f(n) = O(k(n)) is valid.

Option c): g(n) = O(f(n))This means that the function g(n) grows at the same rate or slower than f(n) or the growth of g(n) is bounded by the growth of f(n).

Comparing the functions f(n) and g(n), we can find that the degree of f(n) is larger than g(n), so f(n) grows faster than g(n). Hence, g(n) = O(f(n)) is valid.

Option d): k(n) = Ω(g(n))This means that the function k(n) grows at the same rate or faster than g(n) or the growth of k(n) is bounded by the growth of g(n).

Comparing the functions k(n) and g(n), we can find that the degree of k(n) is larger than g(n), so k(n) grows faster than g(n). Hence, k(n) = Ω(g(n)) is valid.

Therefore, option d is the correct option.

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Answer:

8:31

Step-by-step explanation:

all of them are equal with 1:4 except 8:31

The critical heat flux (CHF) is the maximum heat flux that can be transferred from a surface to a boiling liquid before the boiling process transitions from a stable regime to an unstable regime. The CHF is an important parameter in the design of heat transfer systems, as exceeding the CHF can lead to boiling crisis, which can cause severe damage to the system.

The CHF for a fluid depends on various factors such as fluid properties, surface properties, and flow conditions. One of the commonly used correlations for calculating CHF is the Kutateladze number (Ku) correlation, which is given by:

q_c = C (ρ_L^2 g Δh_f)^0.5 (σ/ρ_L)^0.1

where q_c is the critical heat flux, ρ_L is the liquid density, g is the acceleration due to gravity, Δh_f is the latent heat of vaporization, σ is the surface tension, and C is a constant that depends on the surface properties and flow conditions.

Using this correlation, we can calculate the CHF for the given fluids at 1 atm:

For mercury at 1 atm:

Density of mercury, ρ_L = 13,534 kg/m^3

Latent heat of vaporization of mercury, Δh_f = 2.66 x 10^5 J/kg

Surface tension of mercury, σ = 0.48 N/m

Acceleration due to gravity, g = 9.81 m/s^2

Using the Kutateladze number correlation with a constant value of C = 0.028, we get:

q_c = 0.028 * (13,534^2 * 9.81 * 2.66 x 10^5)^0.5 * (0.48/13,534)^0.1

q_c = 2.44 x 10^6 W/m^2

For ethanol at 1 atm:

Density of ethanol, ρ_L = 789 kg/m^3

Latent heat of vaporization of ethanol, Δh_f = 8.51 x 10^5 J/kg

Surface tension of ethanol, σ = 0.022 N/m

Acceleration due to gravity, g = 9.81 m/s^2

Using the Kutateladze number correlation with a constant value of C = 0.027, we get:

q_c = 0.027 * (789^2 * 9.81 * 8.51 x 10^5)^0.5 * (0.022/789)^0.1

q_c = 1.17 x 10^6 W/m^2

For refrigerant R-134a at 1 atm:

Density of R-134a, ρ_L = 1245 kg/m^3

Latent heat of vaporization of R-134a, Δh_f = 2.03 x 10^5 J/kg

Surface tension of R-134a, σ = 0.011 N/m

Acceleration due to gravity, g = 9.81 m/s^2

Using the Kutateladze number correlation with a constant value of C = 0.026, we get:

q_c = 0.026 * (1245^2 * 9.81 * 2.03 x 10^5)^0.5 * (0.011/1245)^0.1

q_c = 1.35 x 10^6 W/m^2

For water at 1 atm:

Density of water, ρ_L = 1000 kg/m^3

Latent heat of vaporization of water, Δh_f = 2

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Cost per unit = Total manufacturing cost / Number of units produced = $1,663,240 / 6,400 = $259.88 per unit

To calculate the total manufacturing cost and cost per unit for the month of August, we need to determine the overhead cost for each activity:

1. Material handling: Number of parts used x Rate = 142,000 parts x $2.00 per part = $284,000
2. Assembly and inspection: Number of direct labor hours x Rate = 26,480 DLH x $25.00 per DLH = $662,000
3. Testing: Number of units tested x Rate = 6,400 units x $5.00 per unit = $32,000

Now, add up all the overhead costs: $284,000 + $662,000 + $32,000 = $978,000

Next, add direct material and direct labor costs:
Direct material cost = $208,600
Direct labor cost = 26,480 DLH x $18.00 per hour = $476,640

Total manufacturing cost = Direct material + Direct labor + Overhead costs = $208,600 + $476,640 + $978,000 = $1,663,240

Cost per unit = Total manufacturing cost / Number of units produced = $1,663,240 / 6,400 = $259.88 per unit

Manufacturing overhead cost = Number of direct labor hours x Rate = 26,480 DLH x $40.00 per DLH = $1,059,200

To calculate the total manufacturing overhead cost applied for the month of August using the $40.00 per direct labor hour rate.

Manufacturing overhead cost = Number of direct labor hours x Rate = 26,480 DLH x $40.00 per DLH = $1,059,200

The traditional method using a single predetermined overhead rate based on direct labor hours may not accurately capture the variation in overhead costs associated with different activities or products.

The activity-based costing (ABC) method is likely to provide better information for manufacturing managers because it allocates overhead costs based on specific cost drivers related to each activity. This allows for a more accurate representation of the resources consumed by each product or process. In contrast, the traditional method using a single predetermined overhead rate based on direct labor hours may not accurately capture the variation in overhead costs associated with different activities or products.

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Answer:

$740

Step-by-step explanation:

550 + 2(125) -60 =

550 + 250 - 60

800 - 60 = 740

$740

Answer: 740$

Step-by-step explanation:

125x2= 250, 250-60= 190, 550+190= 740

Answer:

thank u for points

Answer:

okay sure lol

Step-by-step explanation:

Answer: y = (3^(x-1))*1500

Step-by-step explanation:

We want the relationship

y = f(x)

where y is the number of songs, and x is the number of years.

We know that in the first year, x = 1, the site has 1,500 songs.

The next year, x = 2, the number of songs is tripled, then we will have:

1,500*3 = 4500 songs.

The next year, x = 3, we will have: 3*(3*1500) = (3^2)*1500.

when x = 4, the number is tripled again:

3*(3^2)*1500 = (3^3)*1500

We already can see the pattern, for the year x, the site will have:

y = (3^(x-1))*1500 songs.

This is the equation we are looking for.

The exponential equation that gives the number of songs available after x years is given by:

\(y(x) = 1500(3)^x\)

It is modeled by:

\(y = ab^x\)

In which:

In this problem:

Thus, the equation is:

\(y(x) = 1500(3)^x\)

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Nastya's annual payments on the loan will be approximately $7,350.68 (rounded to the nearest cent).

To find Jean's equity as a percent of the house value, we need to calculate the equity and divide it by the house value, then multiply by 100 to get the percentage.

Jean's equity is the difference between the house value and the mortgage amount. So, the equity is $792078.31 - $600,000 = $192,078.31.

To calculate the percentage, we divide the equity by the house value and multiply by 100: ($192,078.31 / $792078.31) * 100 = 24.26%.

Therefore, Jean's equity as a percent of the house value is 24.26%.

Now, let's move on to Nastya's question.

To calculate Nastya's annual payments on a fully amortizing loan, we need to use the formula for calculating the monthly payment:

P = r * PV / (1 - (1 + r)^(-n))

Where:
P = Monthly payment
r = Monthly interest rate (annual interest rate / 12)
PV = Present value of the loan
n = Total number of payments

Given:
PV = $622,422
Annual interest rate = 5.2%
n = 10 years

First, we need to convert the annual interest rate to a monthly interest rate: 5.2% / 12 = 0.43333%.

Next, we substitute the values into the formula and solve for P:

P = (0.0043333 * 622422) / (1 - (1 + 0.0043333)^(-10))

Using a calculator, we get P ≈ $7,350.68.

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The correct inference procedure for the ecologists to use is A. A one-sample t-interval for a sample mean.

This is because they are trying to estimate the average number of eggs per nest for all robins in the region, so they will need to use a one-sample t-interval for a sample mean to draw inferences about the population.

Ecologists will choose a random sample of nesting robins in a certain region to estimate the average number of eggs per nest for all robins in the region. The correct inference procedure for the ecologists to use is A. A one-sample t-interval for a sample mean.

What is a t-interval for a sample mean?A t-interval for a sample mean is a type of confidence interval that estimates the unknown population parameter, μ, based on the data in a random sample. The t-distribution is used to estimate the population parameter because the population standard deviation is not known.

The following is an illustration of the method of calculating a confidence interval for the mean using a t-distribution:If a sample of n observations is drawn from a normal population, the mean x of the sample is normally distributed with the following properties:Mean: μx = μ.Standard deviation: σx = σ/√n.

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Answer:

This property is known as the associative property

Step-by-step explanation:

In the associative property, you rearrange the numbers so they make the most sense in what position they are in.

Hope this helps! :)

Answer:

associate property

:<

\(\boxed{\sf a_n=\dfrac{a_{n-1}}{10}\times 4,n\gt 1}\)

Lets verify

\(\\ \sf\longmapsto a_2=\dfrac{a_1}{10}\times 4\)

\(\\ \sf\longmapsto a_2=\dfrac{500}{10}\times 4=50(4)=200\)

And

\(\\ \sf\longmapsto a_3=\dfrac{a_2}{10}\times 4\)

\(\\ \sf\longmapsto a_3=\dfrac{200}{10}\times 4=20(4)=80\)

And

\(\\ \sf\longmapsto a_4=\dfrac{a_3}{10}\times 4\)

\(\\ \sf\longmapsto a_4=\dfrac{80}{10}\times 4=8(4)=32\)

Hence verified

Lets predict next term

\(\\ \sf\longmapsto a_5=\dfrac{a_4}{10}\times 4\)

\(\\ \sf\longmapsto a_5=\dfrac{32}{10}\times 4=3.2\times 4=12.8\)

Answer:

Object A has greater volume and it is 1.6 cubic cm greater than Object B

Step-by-step explanation:

Given data is:

Object A:

Mass = m1 = 12g

Density = d1 = 3g/cm^3

Object B:

Mass = m2 = 12g

Density = d2 = 5g/cm^3

The relationship between mass, volume and density is given by the following formula

\(density = \frac{mass}{volume}\)

Let v1 be the volume of object A and v2 be the volume of object B

Now,

Using the given relationship

\(d_1 = \frac{m_1}{v_1}\\v_1 = \frac{m_1}{d_1}\\v_1 = \frac{12}{3}\\v_1 = 4\ cm^3\\And\\v_2 = \frac{m_2}{d_2}\\v_2 = \frac{12}{5}\\v_2 = 2.4\ cm^3\)

Difference between volumes is: 4-2.4 = 1.6

It can clearly be seen that the volume of object A is greater than object B.

Hence,

Object A has greater volume and it is 1.6 cubic cm greater than Object B

Answer:

8 milliom

Step-by-step explanation:

its ez