A charity organization is having a fundraiser. The variable P models the fundraiser's profit (in dollars) if n tickets are sold. A negative profit means the expenses exceeded the income from tickets. P = 70n - 1500 How much money does the charity raise by selling a single ticket?​

Answer: 24

Step-by-step explanation: The LCM of 3 and 8 is 24.

3 6 9 12 15 `18 21 24

8 16 24

The linear function models the given situation will be equal to f(x) = $3600 - $400(x).

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given information in the question,

Original price of Machine = $3600

Price lost by the machine each year = $400

Then, the equation will be,

f(x) = $3600 - $400(x)

Here, x represents the number of years.

To know more about equation:

https://brainly.com/question/29657983

#SPJ1

Answer:

f(x) = −400x + 3600

Step-by-step explanation:

Percentage Calculator: What is the percentage increase/decrease from 4000 to 5000? = 25.

Answer:

A

Step-by-step explanation:

I I think that's the answer

Answer:

Step-by-step explanation:

12

Answer:

\(\huge\boxed{\sf 2 \ unit^2}\)

Step-by-step explanation:

Since both base and perpendicular are the same, let's denote both of them by one variable i.e. x

Using Pythagoras Theorem because it is a right-angled triangle.

\((Hypotenuse)^2=(Base)^2+(Perp)^2\)

Where,

Base, Perp = x

Hypotenuse = \(2\sqrt{2}\)

So,

\((2\sqrt{2})^2=(x)^2+(x)^2 \\\\4 \times 2 = x^2+x^2\\\\8 = 2x^2\\\\Divide \ both \ sides \ by \ 2\\\\4 = x^2\\\\Take \ sqrt\\\\2 = x \\\\x = 2\)

So, Base and Perpendicular both equal 2.

\(\displaystyle =\frac{1}{2} (Base)(Perp)\\\\= \frac{1}{2} (2)(2)\\\\= 2 \ unit^2\\\\\rule[225]{225}{2}\)

Answer:

2 unit^2

Step-by-step explanation:

a^2 +b^2=c^2 is the formula we use we can turn both a and b to x since they are the same legnth and c is 2√2

X^2+x^2=2√2^2

2x^2=4(2)

2x^2=8

/2.   /2

x^2=4

Square root both sides

x=2

so the base and the height is 2

So we use triangle formula

1/2(2)(2)

1/2(4)

2

The area is 2

Hopes this helps please mark brainliest

Answer:1/7

Step-by-step explanation: You take the amount that are springer spaniels and you put them with the whole of the dogs in the park 14 so you would have 2/14. You can reduce this fraction to 1/7 by dividing both the top and bottom of the fraction by 2.

The first person will receive £166 and the second person will receive £581.

To divide £747 in the ratio 2:7 between two people, we need to determine the total number of parts that the ratio represents. The ratio of 2:7 means that for every 2 parts of £747 allocated to the first person, 7 parts of £747 will be allocated to the second person. Therefore, the total number of parts of the ratio is:

2 + 7 = 9

To determine the amount of money that each person will receive, we divide the total amount of money by the number of parts in the ratio and then multiply each part of the ratio by the resulting number. This can be written as:

First person's share = (2/9) * £747 = £166

Second person's share = (7/9) * £747 = £581

This division of £747 is consistent with the 2:7 ratio given in the problem.

In summary, to divide £747 in the ratio 2:7 between two people, we added the ratio values, 2 and 7, to get the total parts in the ratio of 9, then we divided the total amount £747 by the number of ratio parts (9) to get the value of one ratio part (83). Finally, we multiplied each ratio part by the value of one ratio part to get each person's share of the money, which is £166 for the first person and £581 for the second person.

For such more questions on ratio

https://brainly.com/question/12024093

#SPJ8

Answer:

Dave had most fun for 1.5 minutes.

explanation:

Let the "fun time" be f

total time * portion of time fun  = fun time

\(\sf t * p = f\)

\(\sf 6 \ * \frac{1}{4} = f\)

\(\sf \frac{6}{4} = f\)

\(\sf f = 1.5 \ minutes\)

Question was for how many minutes, Dave had fun, so he had fun for 1.5 minutes

Let that half be x

So

\(\\ \rm\Rrightarrow x(4)=6min\)

\(\\ \rm\Rrightarrow x=6/4\)

\(\\ \rm\Rrightarrow x=1.5min\)

Answer:

no

Step-by-step explanation:

Answer:

The y-intercept of the line is -4.

Step-by-step explanation:

y-y=m(x-x¹)

y-(-2)=-1(x-(-2))

y+2=-1x-2

-2 -2

y=-1x-4

Answer:

360+45=405

360+5=365

36

Answer: 9 x 40+5

Step-by-step explanation:

9x 40+5

  9x  45

Ozone can be both harmful and beneficial to health, depending on its location in the atmosphere and the levels at which it is present.

In the stratosphere (the layer of the atmosphere that is located about 10-50 kilometers above the Earth's surface), ozone is a beneficial gas that protects life on Earth by absorbing harmful ultraviolet (UV) radiation from the sun. However, at ground level, ozone can be harmful to health, particularly for people with respiratory problems such as asthma.

Exposure to high levels of ozone can irritate the respiratory system and cause coughing, throat irritation, and chest pain. It can also worsen bronchitis, emphysema, and other lung diseases. Ozone can also reduce lung function and inflame the linings of the lungs, leading to more serious health problems.

It is important to note that ground-level ozone is not emitted directly into the air, but is formed when pollutants from sources such as vehicle exhaust, power plants, and industrial facilities react with sunlight and heat.

Therefore, Ozone can be both harmful and beneficial to health.

To learn more about Ozone,

visit; brainly.com/question/14330630

#SPJ4

The sum of the infinite terms of a G.P. is (aᵣ / (1 - r))

A geometric progression (G.P.) is a sequence where each term is obtained by multiplying the preceding term by a constant ratio. The general term of a G.P. is given by the formula aₙ = aᵣ(r)^(n-1), where aᵣ is the first term and r is the common ratio.

The sum of infinite terms of a G.P. can be calculated using the formula Sₙ = a(1 - rⁿ) / (1 - r), where Sₙ is the sum of the first n terms of the G.P., a is the first term, and r is the common ratio.

As n approaches infinity, rⁿ approaches zero if the value of r is less than one. Hence, we can write the formula for the sum of infinite terms of a G.P. as S = a / (1 - r), provided that the value of r is less than one.

Therefore, the main answer can be written as the sum of the infinite terms of a G.P. is (aᵣ / (1 - r)), where aᵣ is the first term, and r is the common ratio.

For more questions like Geometric click the link below:

https://brainly.com/question/13008517

#SPJ11

To evaluate the given expression (3² ⊕ 4⁵ ⊕ 5³) (5³ ⊕ 3³ ⊕ 4⁶), we need to compute the values of each exponentiation and perform the XOR operation (⊕) between them. The evaluated expression is 3171.

Let's break down the expression step by step:

First, calculate the exponents:

3² = 3 * 3 = 9

4⁵ = 4 * 4 * 4 * 4 * 4 = 1024

5³ = 5 * 5 * 5 = 125

3³ = 3 * 3 * 3 = 27

4⁶ = 4 * 4 * 4 * 4 * 4 * 4 = 4096

Now, perform the XOR operation (⊕):

(9 ⊕ 1024 ⊕ 125) (125 ⊕ 27 ⊕ 4096)

9 ⊕ 1024 = 1017

1017 ⊕ 125 = 1104

1104 ⊕ 27 = 1075

1075 ⊕ 4096 = 3171

Therefore, the evaluated expression is 3171.

None of the provided answer choices match the result. The correct value for the given expression is 3171, which is not among the options F, G, H, or J.

Learn more about compute here

https://brainly.com/question/17145398

#SPJ11

Step-by-step explanation:

Perimeter=8l

30cm=8l

l=30/8=3.75cm

Answer and Step-by-step explanation:

An octagon has 8 sides in total. The perimeter of a shape is the sum of all sides added together.

To find the length of each side, we divide the perimeter by the amount of sides.

30 ÷ 8 = 3.75

The answer is 3.75 centimeters.

#teamtrees #PAW (Plant And Water)

The numerical value of x in the expression 3x + 6 is 3.

The diagonals of a rectangle bisects each other and are equal.

Given that;

Since the diagonals of a rectangle bisects each other and are equal.

DG = CG

Plug in the given values and simplify.

15 = 3x + 6

Solve for x

Subtract 6 from both sides

15 - 6 = 3x + 6 - 6

9 = 3x

Divide both sides by 3

9/3 = 3x/3

9/3 = x

3 = x

x = 3

Therefore, the value of x is 3.

Learn more about rectangle here: brainly.com/question/12019874

#SPJ1

Answer:

Step-by-step explanation:

The easiest way is to use the distributive rule. 15¾ = 15+ ¾

15¾*8 = (15+¾)8 = 15*8 + ¾*8 = 120+6 = 126

Answer:

a

Step-by-step explanation:

you have to multply

Answer:

A

Step-by-step explanation:

In this scenario, the sampling units are four households, the variable of interest is the average food cost, and auxiliary information associated with the units is the number of people in each household and total food cost.

Sampling Units: The sampling units are the four households selected from the 25,000 households in the population.

They are as follows:

1. Household with 4 people that spent $150 on food

2. Household with 2 people that spent $100 on food

3. Household with 4 people that spent $200 on food

4. Household with 3 people that spent $140 on food

Variable of Interest: The variable of interest is the average cost on food per household for a week.

Auxiliary Information: The auxiliary information associated with the units includes the number of people in each household and the total amount spent on food for that week.

To estimate the average cost on food per household for a week, follow these steps:

1. Calculate the total cost on food for all four households: $150 + $100 + $200 + $140 = $590

2. Divide the total cost by the number of households: $590 / 4 = $147.50

So, the estimated average cost on food per household for a week is $147.50.

Learn more about Variable of interest:

https://brainly.com/question/14356285

#SPJ11

\((7d+6)-(-3d-5) \\ \\ =7d+6+3d+5 \\ \\ =\boxed{10d+11}\)

The directional derivative of the function f(x, y) = 3ex sin y at the point (0, π/3) in the direction of the vector v = <0, -5, 12> is -15/26.

To find the directional derivative of a function f(x, y) at a point (a, b) in the direction of a unit vector v = <u, v>, we use the following formula:

Dv(f)(a, b) = ∇f(a, b) · v

where ∇f(a, b) is the gradient of f(x, y) at the point (a, b). The gradient is a vector that points in the direction of the steepest increase of the function and has a magnitude equal to the rate of change of the function in that direction.

In this problem, our function is f(x, y) = 3ex sin y, and the point is (0, π/3). The gradient of the function is:

∇f(x, y) = <∂f/∂x, ∂f/∂y> = <3ex sin y, 3ex cos y>

Evaluating the gradient at the point (0, π/3), we get:

∇f(0, π/3) = <3e0 sin (π/3), 3e0 cos (π/3)> = <0, 3/2>

Next, we need to find the unit vector in the direction of v = <0, -5, 12>. To do this, we first find the magnitude of v:

|v| = √(0² + (-5)² + 12²) = 13

Then, we divide v by its magnitude to get the unit vector:

u = v/|v| = <0, -5/13, 12/13>

Finally, we can use the formula for the directional derivative to find Dv(f)(0, π/3):

Dv(f)(0, π/3) = ∇f(0, π/3) · u = <0, 3/2> · <0, -5/13, 12/13> = -15/26

To know more about directional derivative here

https://brainly.com/question/30365299

#SPJ4

Answer:

Mark brainly then I will answer..

Answer:

The degree of the term is 2.

Step-by-step explanation:

Answer:

7.75

Step-by-step explanation:

We want to simplify the expression;

So, the mistake you made is to forget to multiply the negative r by -1 when expanding.

- 1 x - r = + r

The equivalent expression is ,therefore , 31r - 71

To approximate the area under the graph of f(x) = 1/x^2 over the interval [2, 4] using four equal subintervals and the right endpoint method, we can use the following formula:

Approximate Area = Δx * [f(x1) + f(x2) + f(x3) + f(x4)]

where Δx is the width of each subinterval and xi represents the right endpoint of each subinterval.

In this case, the interval [2, 4] is divided into four equal subintervals, so Δx = (4 - 2) / 4 = 0.5.

Now, let's evaluate the function at the right endpoints of the subintervals:

f(2.5) = 1/(2.5)^2 = 0.16

f(3) = 1/(3)^2 = 0.1111

f(3.5) = 1/(3.5)^2 = 0.0816

f(4) = 1/(4)^2 = 0.0625

Substituting these values into the formula:

Approximate Area = 0.5 * [0.16 + 0.1111 + 0.0816 + 0.0625]

Approximate Area = 0.5 * 0.4152

Approximate Area = 0.2076

Therefore, the approximate area under the graph of f(x) = 1/x^2 over the interval [2, 4] using four equal subintervals and the right endpoint method is approximately 0.2076.

learn more about graph here

https://brainly.com/question/10712002

#SPJ11

The 95% confidence interval estimate of the population mean rating for Miami International Airport is approximately 5.50 to 6.74 (rounded to two decimal places).

To develop a 95% confidence interval estimate of the population mean rating for Miami International Airport, we can use the sample data provided. Here are the steps to calculate the confidence interval:

Step 1: Calculate the sample mean and sample standard deviation (s) from the given ratings.

Step 2: Determine the critical value (t*) for a 95% confidence level. Since the sample size is small (n = 50), we need to use the t-distribution. The degrees of freedom (df) will be n - 1 = 50 - 1 = 49.

Step 3: Calculate the standard error (SE) using the formula: SE = s / √n, where n is the sample size.

Step 4: Calculate the margin of error (ME) using the formula: ME = t* * SE.

Let's proceed with the calculations:

Step 1: Calculate the sample mean and sample standard deviation (s).

Sample ratings: 7 7 3 8 4 4 4 5 5 5 5 4 9 10 9 9 8 10 4 5 4 10 10 10 11 4 9 7 5 4 4 5 5 4 3 10 10 4 4 8 7 7 4 9 5 9 4 4 4 4

Sample size (n) = 50

Sample mean = (Sum of ratings) / n = (306) / 50 = 6.12

Sample standard deviation (s) = 2.18

Step 2: Determine the critical value (t*) for a 95% confidence level.

Using a t-distribution with 49 degrees of freedom and a 95% confidence level, the critical value (t*) is approximately 2.01.

Step 3: Calculate the standard error (SE).

SE = s / √n = 2.18 / √50 ≈ 0.308

Step 4: Calculate the margin of error (ME).

ME = t* * SE = 2.01 * 0.308 ≈ 0.619

Step 5: Construct the confidence interval.

Confidence Interval = 6.12 ± 0.619

Lower bound = 6.12 - 0.619 ≈ 5.501

Upper bound = 6.12 + 0.619 ≈ 6.739

The 95% confidence interval estimate of the population mean rating for Miami International Airport is approximately 5.50 to 6.74 (rounded to two decimal places).

Learn more about population here

https://brainly.com/question/30396931

#SPJ11

Answer:

First it would be 10 and the second one would be 20 tell me if I’m right!!

Step-by-step explanation:   I think it’s that I’m not really sure lol also have a great day :D

The relationship between a statistic and a parameter is the same as the relationship between , Option(A) a sample and a population

The Population is defied as an entire group of individuals that we are interested in studying, while a sample is a subset of that population that we actually observe and collect data from.

A Parameter is defined as a numerical characteristic of a population, such as its mean or variance, whereas a statistic is a numerical characteristic of a sample, such as its sample mean or sample standard deviation.

The relationship between a sample and a population is similar to the relationship between a statistic and a parameter because a sample is used to estimate  information about the population, and a statistic is used to estimate  information about a parameter.

Learn more about Parameter here

https://brainly.com/question/9192779

#SPJ4