A band is playing at an auditorium with floor seats and
balcony seats.
The band wants to sell the floor tickets for $15 each
and balcony tickets for $12 each.
They want to make at least $3,000 in ticket sales.
Write an inequality whose solutions are the number of
floor and balcony tickets sold if they make at least
$3,000 in ticket sales.
Let x represent floor tickets and let y represent
balcony tickets.

The correct answer is option (e) None of the above.

The solution to the differential equation tx dx/dt = 1 with x(1) = 1 is x = t for t ≥ 0 and x = -t for t < 0. None of the provided options (a, b, c, or d) match this solution, so the correct answer is option (e) None of the above.

The given differential equation is tx dx/dt = 1 with x(1) = 1. To solve this equation, we can use the method of separation of variables. Rearranging the equation, we have dx/x = dt/t. Integrating both sides, we get ln|x| = ln|t| + C, where C is the constant of integration. Taking the exponential of both sides, we have |x| = |t|e^C. Since x(1) = 1, we can substitute t = 1 and x = 1 into the equation to solve for C. The equation becomes |1| = |1|e^C, which simplifies to 1 = e^C. Therefore, C = 0. Substituting C = 0 back into the equation, we have |x| = |t|. To remove the absolute values, we can consider two cases: (1) x = t if t ≥ 0, and (2) x = -t if t < 0. Therefore, the solution to the given differential equation with the initial condition x(1) = 1 is x = t for t ≥ 0 and x = -t for t < 0. None of the given options matches this solution, so the correct answer is option (e) None of the above.

Learn more about differential equation click here: brainly.com/question/33433874

#SPJ11

Answer:

-3

Step-by-step explanation:

your x-axis has to be 0 then the point on the y-axis is the y-intercept

The volume of the barrel is approximately 2.83 cubic feet, If it has  a diameter of 1 1\2 feet and a height of 4 feet.

The volume of a barrel can be calculated using the formula:

V = π\(r^2h\)

where V is the volume of the barrel, r is the radius of the barrel, and h is the height of the barrel.

First, we need to convert the diameter of the barrel, which is 1 1/2 feet, to its corresponding radius. We can do this by dividing the diameter by 2:

radius = 1 1/2 / 2 = 0.75 feet

Now that we have the radius, we can plug it and the height of the barrel, which is 4 feet, into the formula:

V = π(0.75)^2(4)

Evaluating this expression, we get:

V = 2.82743338823 cubic feet

Therefore, the volume of the barrel is approximately 2.83 cubic feet.

Learn more about diameter here:

https://brainly.com/question/31445584

#SPJ11

Answer: 3.4

Step-by-step explanation: 6-2 is 4 and 7-4=3 therefore it’s 3.4

The solution is 3.4

The value of the equation 4.2 less than 7.6 is 3.4

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is expressed as

A = 4.2 less than 7.6

Substituting the values in the equation , we get

A = 7.6 - 4.2   be equation (1)

On simplifying the equation , we get

The value of A = 7.6 - 4.2

The value of A = 3.4

Therefore , the value of A is 3.4

Hence , The value of the equation 4.2 less than 7.6 is 3.4

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

The symbol to make the following statement true is 3 lb > 32 oz.

In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

In other words, Inequalities are mathematical expressions involving the symbols >, <, ≥ and ≤.

Therefore, let's choose the symbol that represents the statement.

Firstly, we will convert the units.

1 pounds = 16 ounce

3 pounds = 48 ounces.

Hence,

48 ounces is greater than 32 ounces.

Therefore, the correct symbol for the statement is   3 pounds > 32 ounces.

learn more on inequality here: https://brainly.com/question/27897677

#SPJ1

The sum of the parts 11/7 and 12/5 of pizza is 139/35.

It is given that the parts of pizza are:

\(1. 11/7\\2. 12/5\\\)

It is required to find sum of the parts of pizza.

Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called denominator.

Calculating the sum of the parts of pizza:

\(=\frac{11}{7}+\frac{12}{5}\)

\(=\frac{139}{35}\)    

Thus, the sum of the parts 11/7 and 12/5 of pizza is 139/35.

Learn more about the fraction here:

https://brainly.com/question/1301963

Answer:

4 sqrt(3)

Step-by-step explanation:

sqrt(3) * sqrt(16)

sqrt(3) *4

4 sqrt(3)

Answer: d

Step-by-step explanation: I took the test

Answer :

☄ \( \large{ \tt{EXPLANATION}} : \)

⇾ A range is defined as the difference between the largest and the smallest value of distribution. If the data are arranged in ascending or descending order , then the difference between the largest and smallest values is called the range.

\( \boxed{ \text{↭Range = L - S = 7 - 0 = \boxed{ \displaystyle7}}}\)

✺ Fear of failure should motivate you everyday , every hour , every minute & every second! ♪

♡ Hope I helped! ツ

Have a wonderful day / evening ! ☼

# StayInAndExplore ! ☂

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

The area of the rectangular arena can be represented as A = (8y2 - 18y) square feet.

Here, we are given the dimensions of a rectangular arena, which are as follows-

Length = 4y - 9 feet

width = 2y feet

The area of a rectangle is given by the formula-

Area of a rectangle = length x breadth

Thus, in this case, area (A) can be calculated as follows

A = (4y - 9) * 2y

Now, we simplify the equation-

A = (4y)(2y) - 9(2y)

A = 8\(y^{2}\) - 18y

Thus, the area of the rectangular arena can be represented by the following equation- A = (8\(y^{2}\) - 18y) square feet.

Learn more about area here-

brainly.com/question/25292087

#SPJ9

Answer:

Area = (number of sides × length of one side × apothem)/2, where the value of apothem can be calculated using the formula,

The value of i₂ when i ₁ = 4, m₁ = 4, m₂ = 12 is 0.0028.

a) Using periodic interest rate formula:¿ = Find i, when PV = $2, 200, FV = 2, 480.85, n = 8i = Round to four decimal placesFV = PV (1 + i)nFV / PV = (1 + i)n(2,480.85 / 2,200) = (1 + i)⁸1.12765909091 = (1 + i)⁸

Using power formula, we get:(1 + i) = (1.12765909091)^(1/8) = 1.0158Therefore, i = 1.0158 - 1i = 0.0158b) Using the equivalent interest rate formula:i₂ = (1 + i₁ / m₁)^(m₁/m₂) - 1i₂ = (1 + 0.033 / 4)^(4/12) - 1i₂ = (1.00825)^0.33333333333 - 1i₂ = 0.00275329166

Therefore, rounded to four decimal places, i₂ = 0.0028

Therefore, the value of i₂ when i ₁ = 4, m₁ = 4, m₂ = 12 is 0.0028.

Know more about periodic interest here,

https://brainly.com/question/32402392

#SPJ11

In the botched salad dressing, the proportion of olive oil will remain the same as in the original recipe, which is 58% of the total mixture.

The original recipe requires that 58% of the finished dressing mix be olive oil. This proportion remains unchanged regardless of the number of servings. Therefore, even if Miguel accidentally doubles the vinegar and forgets the sugar, the proportion of olive oil in the botched dressing will still be 58%.

Let's break down the original recipe to understand this better. In the original recipe, the dressing mix consists of 5858 of olive oil, 1414 of vinegar, and the remainder an even mixture of salt, pepper, and sugar. Since the total mixture is 5858 + 1414 + (salt + pepper + sugar), and the olive oil accounts for 5858 of it, the proportion of olive oil is 5858 / (5858 + 1414 + (salt + pepper + sugar)).

Now, even if Miguel accidentally doubles the vinegar, the proportion of olive oil remains the same because the increase in vinegar does not affect the amount of olive oil. The doubled vinegar will be 2 * 1414, and the total mixture will be 5858 + 2 * 1414 + (salt + pepper). The proportion of olive oil remains 5858 / (5858 + 2 * 1414 + (salt + pepper)).

Since the proportion of olive oil depends only on the amount of olive oil and the total mixture, it remains constant despite the changes in other ingredients. Therefore, in the botched dressing, the proportion of olive oil will still be 58% of the total mixture.

Learn more about proportion here:

https://brainly.com/question/31548894

#SPJ11

The probability θ of teen recidivism based on a study is: the posterior mean is 0.3208. Mode is 0.313 and the standard deviation of the probability estimate is 0.0635.

Probability is the ability to happen. The subject of this area of mathematics is the occurrence of random events. From 0 to 1 is used to express the value. To forecast how probable occurrences are to occur, probability has been introduced in mathematics. The degree to which something is likely to happen is essentially the definition of probability. This is the fundamental theory of probability, which is also applied to the probability distribution, and from which you will discover the likelihood of results for a random experiment.

The posterior mean is given as:

E [Theta| y] = (a + y) / (a + y) + (b + n - y) = 17 /53 = 0.3208.

The mode for the estimate is:

Mode =  (a + y - 1) / (a + y - 1) + (b + n - y -1) = 16/51 = 0.313.

The standard deviation is:

√ (a + y) (b + n - y) / [(a + y) + (b + n - y)]² [(a + y) + (b + n - y) + 1] =  √17(36) / 53(53) (54) = 0.0635.

The plot of the functions are as shown.

Learn more about probability here:

https://brainly.com/question/30881224

#SPJ1

The complete question is:

The shock in part (c) leads to a decrease in capital per worker and consumption per worker, potentially affecting the standard of living. In contrast, the shock in part (d) leads to an increase in output per effective worker, which can positively impact the standard of living.

(c) When the tax funds are assumed to be gone without any goods or services purchased or government employees paid, it implies that the tax revenue is completely removed from the economy. In this case, the impact on the steady state levels of capital per worker and consumption per worker would depend on the specific economic model and assumptions.

Generally, the removal of tax revenue would lead to a reduction in both capital per worker and consumption per worker. The exact magnitude of the impact would depend on various factors, such as the marginal propensity to consume and the saving behavior of individuals. In steady state, the reduction in capital per worker could lead to lower productivity and potentially lower output per worker, affecting the standard of living.

To sketch a diagram showing the impact of this shock, you would typically have the levels of capital per worker and consumption per worker on the y-axis and time or steady state on the x-axis. The diagram would show a downward shift in both the capital per worker and consumption per worker curves, indicating a decrease due to the removal of tax revenue.

(d) When the tax funds are used by the government to implement plans that increase the growth rate of labor-augmenting technological change to 3% per year, it implies that the tax revenue is directed towards productivity-enhancing investments or policies. In this case, the impact on the steady state levels of capital per effective worker, output per effective worker, and consumption per effective worker can be analyzed.

The increase in the growth rate of labor-augmenting technological change would lead to higher productivity and potentially higher output per effective worker in steady state. This increase in output per effective worker could also translate into higher consumption per effective worker, depending on the saving and consumption behavior.

To sketch a diagram showing the impact of this shock, you would typically have the levels of capital per effective worker, output per effective worker, and consumption per effective worker on the y-axis and time or steady state on the x-axis. The diagram would show an upward shift in the output per effective worker curve, indicating an increase due to the improved technological change.

Overall, the shock in part (c) leads to a decrease in capital per worker and consumption per worker, potentially affecting the standard of living. In contrast, the shock in part (d) leads to an increase in output per effective worker, which can positively impact the standard of living.

Learn more about productivity here: https://brainly.com/question/33185812

#SPJ11

The percentage increase in the population from 1965 to 2015 is 35 %.

To calculate the population growth rate (PG), take the difference (subtraction) between the original population and the population at time point 1, divide by the original population, and multiply by 100. The population growth rate (PGR) for that period (10 years) was 12%.

Given:

In the year 1965, the population of country A was 2714000.

In the year 2015, the population of country A was 3663900.

Percentage increase in population 50 years

                         = \(\frac{(3663900-2714000)}{2714000}\) × 100

                         = 35 %

Thus, the percentage increase in the population from 1965 to 2015 , i.e, 50 years is 35%.

Learn more about Population:

https://brainly.com/question/30062979

#SPJ4

Answer: x = 13

Step-by-step explanation: When solving an equation like this, we are trying to get our variable which is our letter by itself.

So we first want to ask ourselves what is the 14 doing to x. Well, we can see that it's being added to x so to get x by itself, we will do the opposite of addition which is subtraction. So we subtract 14 from both sides of the equation.

The +14 -14 cancels out so we're left with x on the left.

On the right, we must subtract 14 from 27 to get 13.

So we have x = 13 which is the solution to this equation.

Answer:

\(x = 13\)

Step-by-step explanation:

\(x + 14 = 27 \\ x = 27 - 14 \\ x = 13\)

Answer:55.56

Step-by-step explanation:

Answer:

7.45

Step-by-step explanation:

We are given a right triangle with one side length known and an angle know so we can use some trigonometry.

You need to find the hypotenuse so you are going to use either sine or cosine.

Since the adjacent from the angle is given (SOH-CAH-TOA) we can use cosine so,

cos(20) = 7/h

=>h = 7/cos(20)

=> 7.44924

=> 7.45

Answer: A multiplication expression that shows how many pictures Oscar took is 3 x 20. An addition expression that shows how many pictures Oscar took is 20 + 20 + 20. The total number of pictures Oscar took is 60.

Step-by-step explanation: A multiplication expression is a way of showing repeated addition of the same number. For example, 3 x 20 means adding 20 three times: 20 + 20 + 20. This expression can be used to show how many pictures Oscar took because he took the same number of pictures (20) in three different places (rain forest, beach, fort). To find the total number of pictures, we can multiply 3 by 20 and get 60.

An addition expression is a way of showing the sum of two or more numbers. For example, 20 + 20 + 20 means adding 20 to itself two times and then adding the result to another 20. This expression can also be used to show how many pictures Oscar took because he took 20 pictures in each place and we can add them together. To find the total number of pictures, we can add 20 to itself three times and get 60.

The total number of pictures Oscar took is the same whether we use multiplication or addition, because these operations are related by the distributive property. This property states that a x (b + c) = a x b + a x c. For example, 3 x (20 + 20) = 3 x 40 = 120 and 3 x 20 + 3 x 20 = 60 + 60 = 120. In this case, we can use the distributive property to show that 3 x (20 + 20 + 20) = 3 x (60) = 180 and 3 x 20 + 3 x 20 + 3 x 20 = 60 + 60 + 60 = 180. Therefore, the total number of pictures Oscar took is equal to either expression: 60.

Hope this helps, and have a great day! =)

Answer:

multiplication expression is 3×20

addition expression is 20+20+20

tatal pictures is 60

The p-value for a corresponding two-tailed test is 0.0184 if the p-value in a right-tailed test is 0.0092.

The p-value for the right-tailed test = 0.0092.

The probability of obeying a test statistic as radical or more extreme than the experimental sample statistic in the demand of the alternative hypothesis is 0.0092.

To find the p-value for a two-tailed test given the p-value for a right-tailed test, we need to double the right-tailed p-value. To find the p-value for a two-tailed test, we double this possibility:

The P-value for two-tailed test = 2 * 0.0092

The P-value for the two-tailed test = 0.0184

Therefore, we can conclude that the p-value for a corresponding two-tailed test is 0.0184.

To learn more about P-Value

https://brainly.com/question/30883080

#SPJ4

Answer:

The slope of RT is: m = 1

Step-by-step explanation:

Given

Determining the slope between (-3, 1) and (2, 6)

\(\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\)

\(\left(x_1,\:y_1\right)=\left(-3,\:1\right),\:\left(x_2,\:y_2\right)=\left(2,\:6\right)\)

\(m=\frac{6-1}{2-\left(-3\right)}\)

Refine

\(m=1\)

Therefore, the slope of RT is: m = 1

Answer:

21.23 yard

Step-by-step explanation:

we need to do pyathagoras theoram.

Answer:

D

1.3 times 4.5 is 5.85

Answer:

D

Step-by-step explanation:

BRAINLYEST please

Answer:

Y-X= 5

Step-by-step explanation:

I think.... i dont know

Answer:

Sweet potato applesauce

Step-by-step explanation:

The variable that describes the different types of Olympic medals is ordinal.

Ordinally defined variables are those that can be ordered or ranked in a meaningful manner.

Nominal, ordinal, interval, and ratio are the four levels of measurement used to describe the properties of variables.

A nominal variable has the lowest level of measurement, followed by ordinal, interval, and ratio. Nominal variables are those that simply reflect a difference in classification, whereas ordinal variables reflect some degree of ordering. Interval variables are those that have meaningful intervals between each value, but no true zero point, while ratio variables have meaningful intervals and a true zero point.

Thus, it can be concluded that the different types of Olympic medals can be ranked in a meaningful manner, making it an ordinal variable. A gold medal is ranked higher than a silver medal, and a silver medal is ranked higher than a bronze medal.

The different types of Olympic medals cannot be classified or identified on a nominal basis because they do not reflect a difference in classification but are instead ranked in order of importance.

Learn more about variable  from the given link:

https://brainly.com/question/28248724

#SPJ11

Answer: \(\displaystyle \frac{-1}{3}\)

Step-by-step explanation:

       The slope of a perpendicular line will always be the reciprocal of the original line's slope. Here, the reciprocal of -3 is \(\frac{-1}{3}\).