A company makes cones out of solid foam. Each cone has a height of inches, and its base has a radius of inches. How much foam is needed to make cones?

Answer:

5.5

Step-by-step explanation:

Proportional relationship. ED to EC = 1/4. So AB=x / AC = 1/4 . After cross multiplying we get 44x=242 dividing to get x=5.5.

Answer:

Step-by-step explanation:

since 3 * 15 = 45, we know that we have to multiply 5 by 15. so the ratio would be 45:75. I hope this helps!

Answer

45:75

Step-by-step explanation:

The original ratio tells you there are 3 boys to 5 players total. If you divide the given amount of boys (45) by the original (3) then you get 15 (this is what you would use to find the players) 15 x 5= 75, so your answer is 45 boys to 75 players.

Answer:

Check pdf

Step-by-step explanation:

Answer:

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Jeffery will obtain $54 as interest on $4,500.00

If Jeffery originally invested $4,500.00.

Then, 1.2% interest on 4,500.00 will be:

Therefore, Jeffery will obtain $54 as interest on $4,500.00.

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The approximate area of the circular fenced-in section is 946.43 square meters.

To find the approximate area of the circular section, we need to use the formula for the area of a circle: A = πr^2, where A is the area and r is the radius.

Given that the circumference of the section is 55 meters, we can calculate the radius using the formula for the circumference of a circle: C = 2πr.

Circumference (C) = 55 meters

Using the formula C = 2πr, we can solve for the radius (r):

55 = 2πr

r = 55 / (2π)

Given the approximation of π as 227, we can calculate the radius:

r ≈ 55 / (2 * 227)

Now, we substitute the radius into the formula for the area:

A ≈ πr^2

A ≈ 227 * (55 / (2 * 227))^2

Evaluating the expression will give us the approximate area of the circular section:

A ≈ 227 * (0.12135922330097087)^2

A ≈ 227 * 0.014746543778801235

A ≈ 946.43 square meters

Therefore, the approximate area of the circular fenced-in section is 946.43 square meters.

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To find a quadratic equation with the y-intercept and vertex, follow these steps: identify the coordinates of the y-intercept and vertex, substitute them into the general form of the quadratic equation, solve for the coefficients, and substitute the coefficients back into the equation. For example, if the y-intercept is (0, 3) and the vertex is (-2, 1), the quadratic equation would be y = x^2 + x + 3.

To find a quadratic equation with the y-intercept and vertex, we can follow these steps:

For example, let's say the y-intercept is (0, 3) and the vertex is (-2, 1). We can substitute these coordinates into the general form of the quadratic equation:

3 = a(0)^2 + b(0) + c

1 = a(-2)^2 + b(-2) + c

Simplifying these equations, we get:

c = 3

4a - 2b + c = 1

By substituting c = 3 into the second equation, we can solve for a and b:

4a - 2b + 3 = 1

4a - 2b = -2

2a - b = -1

By solving this system of equations, we find a = 1 and b = 1. Substituting these values back into the general form of the quadratic equation, we obtain the final equation:

y = x^2 + x + 3

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To find a quadratic equation with a given y-intercept and vertex, you need the coordinates of the vertex and one additional point on the curve.

Example:

Suppose we want to find a quadratic equation with a y-intercept of (0, 4) and a vertex at (2, -1).

To find a quadratic equation with a given y-intercept and vertex, you can use the vertex form of a quadratic equation and substitute the coordinates to obtain the equation. Then, use the y-intercept to find an additional point on the curve and solve a system of equations to determine the coefficients. Finally, substitute the coefficients into the standard form of the quadratic equation to get the final equation.

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The opposite side of the right triangle (x) is approximately 6.888 inches long.

To solve this problem, we can use the trigonometric ratio for the sine function, which is opposite/hypotenuse. We have the hypotenuse as 12 inches and the opposite angle as 35 degrees, so we can set up the equation:

sin(35) = opposite/12

To solve for the opposite, we can multiply both sides by 12:

opposite = 12 * sin(35)

sin(35) as approximately 0.574:

opposite = 12 * 0.574

opposite ≈ 6.888

Therefore, the opposite side of the right triangle (x) is approximately 6.888 inches long.

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The statements that are true for Larry's Auto Shop, with regards to the fixed cost and variable cost of the organization is the option A.

A. Statement I and II are true

A fixed cost of production is a cost that remains the same as the production level changes. The basic infrastructure, rent, salaries, insurance, and taxes on the property are associated with the fixed cost of the organization.

The possible equation for the total cost for Larry, obtained from a similar question in the internet;

T = 50 + 10·q²

Where;

q = The quantities of repairs made by Larry's Auto Shop

I. When 0 repairs are produced, the variable cost is 0, therefore, the fixed cost = The total cost = 50 + 10 × 0² = 50

The fixed cost = The total cost

II. The above equation used to calculate the total cost = the fixed cost when 0 repairs are produced, indicates that the fixed cost = $50

III. The fixed cost is a fixed amount which remains the same for all amount of output produced, therefore, the the statement Larry Auto Shop's fixed cost depends on the level of output that is produced.

The possible statements in the question are;

I. When Larry's Auto Shop produces 0 repairs, its fixed cost equals its total cost

II. Larry's Auto Shop's fixed cost is equivalent to $50

III. The fixed cost of Larry Auto Shop depends on the level of output that is produced.

The options are;

(A) I and II are true

(B) I and III are true

(C) I, II, and III are true

(D) Statement I is true

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A. The sand will not fit into the tank because the volume of the sand is higher than that of the container

B. the difference in the volume of the first and second tank is 70in³

C. The measurement of the tank that will hold exactly 375 is 5in × 7in × 10.7 in

A prism is a solid shape that is bound on all its sides by plane faces.

The volume of a prism is expressed as;

volume = base × height

The volume of the tank = 5×7×9

= 315 in³

The volume of the sand is 375 .

Therefore the volume of the sand is greater than that of the tank, this means the sand will not fit into the tank.

B. The height of the second tank = 9+2 = 11

The volume of the second tank = 5×7 × 11 = 385

therefore the difference in the volume of the first and second tank = 385-315

= 70in³

C. If the tank has thesame base, then the height will be

375 = 5× 7 × h

375 = 35h

h = 375/35

h = 10.7 in

therefore the measurement of the tank that will hold exactly 375 is 5in × 7in × 10.7 in

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Answer:

-37/100

Step-by-step explanation:

Here, we want to write -0.37 as a quotient of integers

What we are saying is that we want to write it as a fraction of two numbers

That would be;

-0.37 = -37/100

Answer:

the first choice, the second choice, and the last choice

Step-by-step explanation:

5 and 6 because they are alternate angles

2 and 3 because they are corresponding angles

2 and 4 because they are corresponding angles

The proper cash flow amount to use as the initial investment in fixed assets is calculated as: $19,740,000

The proper cash flow amount to use as the initial investment in fixed assets should include the cost of the land and the cost of grading, as well as the cost of building the manufacturing plant. Therefore, the initial investment is:

$5,700,000 (cost of the land) + $840,000 (cost of grading) + $13,200,000 (cost of building the plant) = $19,740,000

So the initial investment in fixed assets for evaluating this project is $19,740,000.

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Answer:

x=-4

Step-by-step explanation:

See picture for work and explanation, feel free to DM me with any 1 on 1 questions!

Answer: The speed of the current is 2 miles per hour.

Step-by-step explanation:

We know that the speed of the boat is:

S = 10 mph.

When the boat travels with the current, the speed will be:

S = 10mph + x

where x = speed of the current.

When the boat travels against the current, the speed will be:

S = 10mph - x

Now, for a given amount of time T, when the boat travels with the current, it moves a distance of 6 miles.

Then we have the equation:

(10mph + x)*T = 6mi

And against the current, in the same time the boat moves 4 mi, then:

(10 mph - x)*T = 4mi

Then we have the system of equations:

(10mph + x)*T = 6mi

(10 mph - x)*T = 4mi

Now, we can take the quotient of these two equations and get:

((10mph + x)*T)/((10 mph - x)*T) = (6mi/4mi)

(10mph + x)/(10 mph - x) = 3/2

Now we can solve this for x.

(10mph + x) = (3/2)*(10 mph - x)

10mph + x = (3/2)*10mph - (3/2)*x

x + (3/2)*x = (3/2)*10mph - 10mph

(5/2)*x = (1/2)*10mph = 5mph

x = (2/5)*5mph = 2mph.

The speed of the current is 2 miles per hour.

Answer:

\(\frac{6}{10+6}=\frac{4}{10-x}\)

Step-by-step explanation:

For plato

Answer:

6

Step-by-step explanation:

Following PEMDAS ( parentheses, exponents, multiplication, division, addition, subtraction)

| 7 - 9 | + ( 7 - 9 ) ^ 2

| 7 - 9 | + -2 ^ 2

| 7 - 9 | + ( -2 x -2 )

| 7 - 9 | + 4

| -2 | + 4

2 + 4

6

Answer:

Because she found it improves division.

Step-by-step explanation:

To construct a confidence interval to estimate the true average tip with 90% confidence, we can use the following formula:
Confidence Interval = mean ± (critical value * standard deviation / sqrt(sample size))

In this case, the sample mean is 11.6% and the standard deviation is 2.5%. The critical value for a 90% confidence level is 1.645 (obtained from the z-table).

Plugging in the values, we have:

Confidence Interval = 11.6 ± (1.645 * 2.5 / sqrt(sample size))

Since the sample size is not mentioned in the question, we cannot calculate the exact confidence interval. However, you can use the formula provided above and substitute the actual sample size to obtain the interval. Remember to round the endpoints to two decimal places, if necessary.

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(a) To determine which model projects the greater revenue, we can compare the coefficients of the quadratic term (t2). For R₁, the coefficient is 0.02, and for R₂, the coefficient is 0.01. Since a larger coefficient indicates a faster increase in revenue over time, we can conclude that R₁ projects greater revenue.

(b) To find how much more total revenue R₁ projects over the six-year period, we can calculate the revenue for each model at t = 25 (corresponding to 2025) and take the difference.

For R₁, when t = 25:

R₁ = 7.25 + 0.26(25) + 0.02(25)^2
R₁ = 18.25

For R₂, when t = 25:

R₂ = 7.25 + 0.1(25) + 0.01(25)^2
R₂ = 10

The difference in revenue is:

R₁ - R₂ = 18.25 - 10
R₁ - R₂ = 8.25

Therefore, R₁ projects $8.25 billion more revenue over the six-year period.
(a) To determine which model projects greater revenue, we need to compare the models at each year from 2020 to 2025. Since t = 20 corresponds to 2020, we will plug in t = 20, 21, 22, 23, 24, and 25 into both models and compare the revenues.

R₁(20) = 7.25 + 0.26(20) + 0.02(20)^2
R₂(20) = 7.25 + 0.1(20) + 0.01(20)^2

Calculate the revenues for each year, and compare the values of R₁ and R₂ for each year. Whichever model has the higher values for most years projects greater revenue.

(b) To find how much more total revenue the better model projects over the six-year period, sum the revenues of both models for each year and find the difference between the totals.

Total Revenue R₁ = R₁(20) + R₁(21) + ... + R₁(25)
Total Revenue R₂ = R₂(20) + R₂(21) + ... + R₂(25)

Calculate the total revenues for both models and subtract the smaller total from the larger total to find the difference. Round your answer to three decimal places.  

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The value of an excel formula that will square this number is,

⇒ N²

We have to given that;

A number is stored in cell a1.

Hence, We can formulate;

Type = N² into the empty cell, in which N is a cell reference that contains the numeric value you want to square.

And, We also get;

To display the square of the value in cell A1 into cell B1,

We can type = A1² into cell B1.

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Answer:

1.) it is the same way as subtracting a fraction be cause a pizza is cut into 8 so it will be 1/8th of each slice if some one ate a slice of pizza

Step-by-step explanation:

Using the Lagrange method, the optimal choice is therefore (x1, x2) = (20/9, 4/3).

The optimal choice when pı = 3, P2 = 5 and I = 20 and utility is u(x1, x2) = min{2x1, x2} can be found using the Lagrange method .Lagrange method: This method involves formulating a function (the Lagrange function) which should be optimized with constraints, i.e. the optimal result should be produced while adhering to the constraints provided. The Lagrange function is given by: L(x1, x2, λ) = u(x1, x2) - λ(I - p1x1 - p2x2)

Where L is the Lagrange function, λ is the Lagrange multiplier, I is the budget, p1 is the price of good 1, p2 is the price of good 2.The optimal choice can be determined by the partial derivatives of L with respect to x1, x2, and λ, and setting them to zero to get the critical points. Then, the second partial derivative test is used to determine if the critical points are maxima, minima, or saddle points. The critical points of the Lagrange function L are:

∂L/∂x1 = 2λ - 2p1 = 0 ∂L/∂x2 = λ - p2 = 0 ∂L/∂λ = I - p1x1 - p2x2 = 0

Substitute the first equation into the second equation to get:λ = p2,2λ = 2p1 ⇒ p2 = 2p1,

Substitute the first two equations into the third equation to get: x1 = I/3p1,x2 = I/5p2

Substitute p2 = 2p1 into the above to get:x1 = I/3p1,x2 = I/10p1.Substitute the values of p1, p2 and I into the above to get:x1 = 20/9,x2 = 4/3.The optimal choice is therefore (x1, x2) = (20/9, 4/3).

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Answer:

30 mins

Step-by-step explanation:

The required greatest common factor of the given expression is 20.

Given that,
To determine the greatest common factor in the expression 20P - 60.

The greatest common factor is defined as a group of the set of numbers that is the most considerable and greatest factor that all the numbers include of.

Here,
= 20p - 60
simplify,
= 20p - 20(3)
Since 20 is a common term among the expression,
Taking 20 commons which are also the greatest common factors in the expression,
= 20[p - 3]

Thus, the required greatest common factor of the given expression is 20.

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Hospitality is a multifaceted industry that encompasses a wide range of establishments, each offering a unique experience to guests.

From condominiums and resorts to conference centers and guesthouses, the diverse forms of hospitality cater to various needs and preferences of travelers. This report will delve into the different types of hospitality establishments, exploring their characteristics, target markets, and key features.

Condominiums, also known as condo-hotels, combine the comfort of a private residence with the services and amenities of a hotel. These properties are typically owned by individuals who rent them out when not in use. Condominiums often offer facilities such as swimming pools, fitness centers, and concierge services. They are popular among long-term travelers and families seeking a home-away-from-home experience.

Resorts, on the other hand, are expansive properties that provide a wide range of amenities and activities within a self-contained environment. They often feature multiple accommodation options, such as hotel rooms, villas, and cottages. Resorts are designed to offer a comprehensive vacation experience, with facilities like restaurants, spas, recreational activities, and entertainment. They cater to leisure travelers looking for relaxation, adventure, or both.

Conference centers specialize in hosting business events, conferences, and meetings. They offer state-of-the-art facilities, meeting rooms of various sizes, and comprehensive event planning services. Conference centers are designed to meet the specific needs of corporate clients, providing a professional environment for networking, presentations, and seminars.

Guesthouses, also known as bed and breakfasts or inns, offer a more intimate and personalized experience. These smaller-scale accommodations are typically privately owned and operated. Guesthouses often have a limited number of rooms and provide breakfast for guests. They are known for their cozy atmosphere, personalized service, and local charm, attracting travelers seeking a homey ambiance and a chance to connect with the local community.

The hospitality industry encompasses a diverse range of establishments, each offering a unique experience to guests. Condominiums provide a home-away-from-home atmosphere, resorts offer comprehensive vacation experiences, conference centers cater to business events, and guesthouses provide intimate and personalized stays. Understanding the characteristics and target markets of these different forms of hospitality is crucial for industry professionals to effectively meet the needs and preferences of travelers.

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Answer:

y/4 + x/12

Step-by-step explanation:

The number of working toys = x

The number of broken toys = y

Bert breaks 1/3 of the working toys, that is:

1/3 * x = x/3

The number of broken toys is now:

y + x/3

Ernie then throws away 1/4 of the broken toys. In terms of x and y, the number of broken toys that Ernie threw away is:

1/4 *(y + x/3)

= y/4 + x/12

The derivative of the function f(t) = 3^(7t)/ t is 3^(7t)(7ln(3)t - 1) / t^2.  

Given function is f(t) = 3^(7t)/ t

To find the derivative of the function, we have to use the formula of quotient rule.

The formula is given as,If y = u/v, then dy/dx = (v du/dx - u dv/dx) / v²

f'(t) = [(t)(d/dt)(3^(7t)) - (3^(7t))(d/dt)(t)] / t^2

The first term requires the chain rule:

(d/dt)(3^(7t)) = (3^(7t))(d/dt)(7t) = (3^(7t))(7ln(3))

Substituting into the formula, we get:

f'(t) = [(t)(3^(7t))(7ln(3)) - (3^(7t))] / t^2

     = [3^(7t)(7ln(3))(t) - 3^(7t)] / t^2

Simplifying, we get:

f'(t) = 3^(7t)(7ln(3)t - 1) / t^2

Therefore, the derivative of the function f(t) = 3^(7t)/t is:

f'(t) = 3^(7t)(7ln(3)t - 1) / t^2

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The longest side of a triangle is always opposite to the largest angle because  the endpoints of the lines on either side are going to be further apart if the angle is wider .

What is Triangle  ?

The triangle can defined as a three-sided polygon that consists of three edges and three vertices.

Let the angle opens up to its opposite side.

So , the larger the angle, the wider will be it's opening. which means that the endpoints of lines on either side of the angle are going to be further apart if angle is wider.

If the endpoints are further apart, then the line connecting them, which makes up the side opposite will be going to be more longer.

So , the longest side will always be opposite to the largest angle

Similarly , the smallest angle will result in shortest side opposite side for the same reasons.

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The evaluation of the expression 12.75 ÷ 1.5 is 51  / 6.

To evaluate an algebraic expression means to find the value of the expression when the variable is replaced by a given number.

Therefore, let's evaluate the expression as follows:

Hence,

12.75 ÷ 1.5

Let's convert each decimal to fractions for easy evaluation

Therefore,

12.75  = 1275 / 100

1.5 = 15 / 10

Therefore,

1275 / 100 ÷ 15 / 10

Let's change the division sign to multiplication sign.

1275 / 100 × 10 / 15

1275 / 150

Therefore,

255 / 30 = 51 / 6

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