A ticket broker bought two dozen concert tickets for $455.76. To resell the tickets, he will include a service charge of $3.80 for each ticket. What is the resale price of each ticket?

A. $18.99
B. $41.78
C. $22.79
D. $37.98

Answer:

4th answer is correct

Step-by-step explanation:

First, let us make x the subject.

\(\sf \frac{x+4}{4} =\frac{y+7}{7}\)

Use cross multiplication.

\(\sf 7(x+4)=4(y+7)\)

Solve the brackets.

\(\sf 7x+28=4y+28\)

Subtract 28 from both sides.

\(\sf 7x=4y+28-28\\\\\sf7x=4y\)

Divide both sides by 7.

\(\sf x=\frac{4y}{7}\)

Now let us find the value of x/4.

To find that, replace x with (4y/7).

Let us find it now.

\(\sf \frac{x}{4} =\frac{\frac{4y}{7} }{4} \\\\\sf \frac{x}{4} =\frac{4y}{7}*\frac{1}{4} \\\\\sf \frac{x}{4} =\frac{4y}{28}\\\\\sf \frac{x}{4} =\frac{y}{7}\)

Answer:

Step-by-step explanation:

10 + 3(7)

10 + 21

= 31

Answer:

31

Step-by-step explanation:

You can use BODMAS rule here to Simplify an expression and do not have to worry about which to do first multiply or addition.

2(5) + 3(4+3)

= 10 + 3(7)

= 10 + 21

=31

A M function file 'tconvert.m', which can convert coordinates (x, y) into Polar from Cartesian coordinates. is:
"```matlab
function [theta, r] = tconvert(x, y)
```"

To create the M function file 'tconvert.m' that converts Cartesian coordinates (x, y) into Polar coordinates, follow these steps:

1. Open the MATLAB Editor or any text editor and create a new file named 'tconvert.m'.

2. In the file, start with the function declaration line: `function [theta, r] = tconvert(x, y)`.

3. Inside the function, write the conversion code using MATLAB's built-in functions:

  - Calculate the angle theta using `atan2(y, x)`, which returns the angle in radians.

  - Calculate the radius r using `sqrt(x^2 + y^2)`, which gives the distance from the origin.

4. End the function with the `end` keyword.

5. Save the file in a directory accessible by MATLAB.

The function 'tconvert' takes the Cartesian coordinates (x, y) as input and returns the corresponding Polar coordinates (theta, r). The angle theta represents the direction in radians, and the radius r represents the distance from the origin.

The function can be called from the MATLAB command window or from another script or function file.

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Complete question:

Write a M function file 'tconvert.m', which can convert from Cartesian coordinates (x,y) into Polar coordinates.

Answer:

probably 10

Step-by-step explanation:

Answer:

its 10/10

Step-by-step explanation:

all you have to do is add the top numbers the bottom says the same

Answer: x>=200

Step-by-step explanation:

As a result, the sequence's first five terms are:a1 = 768 ,a2 = 192 ,a3 = 48,a4 = 12 and a5 = 3.

A list of numbers or other mathematical objects arranged in a specific order is referred to as a sequence in mathematics. Terms are the individual numbers that make up a sequence; the order in which they appear can be significant. Sequences might have an infinite number of terms or a finite number of terms (having an unlimited number of terms). Moreover, they can be defined in several ways, such as by the use of a formula or a recursive definition. Many branches of mathematics, such as number theory, analysis, and algebra, as well as other disciplines including physics, computer science, and engineering, all use sequences.

given

For the specified sequence, the appropriate explicit formula is:

n 1: a = 768 * (0.25)(n-1)

We can simplify the formula and enter n = 1, 2, 3, 4, and 5 to obtain the first five terms:

\(a1 = 768 * (0.25)^(1-1) = 768 * 1 = 768\)

\(a2 = 768 * (0.25) (0.25)^(2-1) = 768 * 0.25 = 192\)

\(a3 = 768 * (0.25) (0.25)^(3-1) = 768 * 0.0625 = 48\)

\(a4 = 768 * (0.25) (0.25)^(4-1) = 768 * 0.015625 = 12 \\a5 = 768 * (0.25)^(5-1) = 768 * 0.00390625 = 3\)

As a result, the sequence's first five terms are:a1 = 768 ,a2 = 192 ,a3 = 48,a4 = 12 and a5 = 3.

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Answer: 15 - 6i

Step-by-step explanation:

3(5-2i)

3×5+3×(−2i)

Do the multiplications.

15−6i

Step-by-step explanation:

hmmm, did you mean, when

x + 1/x = 5

then

x² + 1/x² = ?

otherwise, we would need some information, how p and x are related somehow.

so, when

x + 1/x = 5

then

(x + 1/x)² = 5² = 25

x² + 1/x² + 2×x×1/x = 25

x² + 1/x² + 2 = 25

x² + 1/x² = 25 - 2 = 23

The question is incomplete. The complete question is :

A population of mutant Venus fly trap plants are taking over an island in the South Pacific, capturing everything from insects to small rodents. When they were first discovered they covered 4 square kilometers. As the population grows, the plants spread and cover more land. Use the table to write an equation.

Solution :

It is given that:

Venus fly trap plant  is capturing everything on its way from small insects to other small rodents.

When they were first discovered, it covered an area of 4 square kilometers. But as more population grew and as years passed by, they spread over large land and covered more land.

Now from the table, it is seen that :

It covered 4 km square when discovered.

Then it covered 6.68 km square in the first year.

It covered 11.16 km square in the second year.

It covered 18.63 km square in the third year.

It covered 31.11 km square in the fourth year.

Therefore the equation which represents the growth is given by :

\($y=4(1.67)^x$\)

A table is given to complete the arithmetic sequence.

To complete the table, we need to determine the common difference first:

Based on the table,

It would take the scrap piece of lumber approximately 2.75 seconds to reach the ground 121 feet below.

To determine how long it would take for a scrap piece of lumber tossed from the roof of a building to reach the ground 121 feet below, we would use the following formula:

d = 16t²,

where d is the distance in feet and t is the time in seconds.

To use the formula, we would first need to determine the value of d, which is 121 feet. We can then plug this value into the formula to get:

121 = 16t²

To solve for t, we need to isolate the variable t by dividing both sides of the equation by 16:

121/16 = t²

7.56 = t²

We can then take the square root of both sides of the equation to find the value of t:

t = √7.56t ≈ 2.75

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f(x)>=-7

Functions:

Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are ubiquitous in mathematics.

If a variable y is so related to a variable x that whenever a numerical value is assigned to x, there is a rule according to which a unique value of f(x)is determined, then f(x) is said to be a function of the independent variable x

Given :

f(x) = -3|x+1|-4

using the table of values for g(x) = |x|

Solution :

f(x) = -3|x+1|-4

f(x) = -3|g(x)+1|-4

f(x) = -3||x|+1|-4

which means |x| is always positive |x|>0

f(x) = -3||x|+1|-4

f(x) = -3x-3-4

f(x) = -3x-7

f(x)>=-7

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Therefore, the approximate dimensions of the rectangle to the nearest tenth of a meter are width = 7.9 m and length = 10.8 m.

Area is a measure of the size of a two-dimensional surface or shape. It is typically expressed in square units, such as square meters (m²), square centimeters (cm²), square feet (ft²), or square inches (in²).

Here,

Let's denote the width of the rectangle as "w" in meters. Then, according to the problem statement, the length of the rectangle can be expressed in terms of the width as:

length = 2w - 5

The area of the rectangle is given as 97 square meters, so we can write:

area = length × width

Substituting the expression for length in terms of the width, we get:

area = (2w - 5) × w

Expanding this expression, we get a quadratic equation in standard form:

2w² - 5w - 97 = 0

We can solve this equation using the quadratic formula:

w = (-(-5) ± √((-5)² - 4×2×(-97))) / (2×2)

Simplifying this expression, we get:

w ≈ 7.9 or w ≈ -6.2

Since the width of a rectangle cannot be negative, we discard the negative solution and approximate the width to the nearest tenth of a meter:

w ≈ 7.9 m

Using the expression for the length in terms of the width, we can find the length:

length = 2w - 5

≈ 10.8 m

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Answer:

6.25x + 2d

Step-by-step explanation:

6.25x = The Hourly Pay

2d = Bonus Pay

Add them to find the total:

6.25x + 2d

The amount of money that he makes during the first week will be C = 6.75x + 2d.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

You have a part-time job at a restaurant.

You get paid $6.75 the hour and get a daily bonus of $2 for each customer that orders dessert.

If you work x hours per week and there are d customers that order dessert per week.

Let C be the amount of money that he makes during the first week.

C = 6.75x + 2d

The amount of money that he makes during the first week will be C = 6.75x + 2d.

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Answer: x=4

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

6x+2=26

Subtract 2 from both sides to isolate the variable

6x=24

Divide by 6

x=4

The required value of y for the unit circle is: 2/3

The circle is defined as the locus of a point whose distance from a fixed point is constant i.e center (h, k).

The equation of the circle is given by:

(x - h)² + (y - k)² = r²

where:

h, k is the coordinate of the center of the circle on coordinate plane.

r is the radius of the circle.

Here,

Equation of the unit circle is given as,

x² + y² = 1

Now substitute the given value in the equation,

5/9 + y² = 1

y² = 1 - 5/9

y² = 4/ 9

y = √(4/9)

y = 2/3

Thus, the required value of y for the unit circle is 2/3

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Answer:

6.5

Step-by-step explanation:

7-2=5-4.5=0.5

0.5ₓ3=1.5

8-1.5=6.5

The net force acting on the object is 3456 N, the objective with an acceleration.

The net force applied to an object is equal to the product of its mass and acceleration, according to Newton's second law of motion. Mathematically, this can be represented as:

Fnet = ma

Where Fnet is the net force, m is the mass, and a is the acceleration. In your scenario, the net force applied to the object is 125 N, and its acceleration is 24.0 m/s2. Therefore, we can rearrange the formula and solve for the mass of the object as follows:

m = Fnet / a
m = 125 N / 24.0 m/s2
m = 5.21 kg

However, this answer does not match the given mass of the object, which is 144 kg. This suggests that there may be an error in one of the values provided. Assuming the mass of the object is actually 144 kg, we can use the same formula to solve for the net force acting on it as follows:

Fnet = ma
Fnet = 144 kg * 24.0 m/s2
Fnet = 3456 N

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The mass of an object with net force value = 125 Newton and acceleration of 24.0 m/s² is equals to the 5.208 kg. So, option(c) is right one.

The force formula is derived by Newton's second law of motion. The basic formula force applied on object is F = ma, which implies that net force is equals to product of mass and acceleration of an object. We have an object with the following information, Net applied force on object, F = 125 N

Acceleration of an object, a = 24.0 m/s²

We have to determine mass of object. Using the above force formula, F = M× a

where M --> mass in kilograms

a --> Acceleration in m/s²

F --> net force in Newton

Substitute all known values in above formula, 125 N = M × 24.0 m/s²

=> M = = \(\frac{125}{24}\)

=> M = 5.208 kg

Hence, required value is 5.208 kg.

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Complete question:

A net force of 125 N is applied to a certain object. As a result, the object accelerates with an acceleration of 24.0 m/s^2. The mass of the object is ?

a) 144 kg

b) 236 kg

c) 5.208 kg

d) 459 kg

The distance from the center of dilation, Q, to the image of vertex A will be 4 units.

According to the given rule of dilation, D subscript Q, two-thirds, the triangle ABC will be dilated with a scale factor of two-thirds centered at point Q.

Since point Q is the center of dilation and the distance from triangle ABC to point Q is 6 units, the image of vertex A will be 2/3 times the distance from A to Q. Therefore, the distance from A' (image of A) to Q will be (2/3) x 6 = 4 units.

By applying the scale factor to the distances, we can determine that the length of A'B' is (2/3) x  3 = 2 units, the length of B'C' is (2/3) x 7 = 14/3 units, and the length of A'C' is (2/3) x 8 = 16/3 units.

Thus, the distance from the center of dilation, Q, to the image of vertex A is 4 units.

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The practice section in which Mary had the fastest lap time is given as follows:

Thursday section.

The lap times are obtained applying the proportion, dividing the number of laps by the number of minutes, obtaining the number of laps that are completed in a single minute.

Then the average number of laps per minute for each day are given as follows:

Due to the higher rate, the Thursday section was the one in which Mary had the fastest lap time.

The table is given by the image shown at the end of the answer.

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Answer: 112, 68, 22, 90

Step-by-step explanation:

This is fairly somewhat easy

since the adjacent side of 1 is 68 degrees

then 1 would be 112 degrees to make it supplementary to 180 degrees

angle 3 is vertical of angle 68

making it 68 degrees

angle 5 is given to be 90 degrees meaning angle 4 is inbetween

angles 3 and 5 so ( 68 and 90 ) that'll add up to 158 meaning angle 4

is 22

angle 1 = 112

angle 3 = 68

angle 4 = 22

angle 5 = 90

The probability of observing a sample statistic more extreme than the one actually obtained, assuming the null hypothesis is true so, here The probability of the type I error.

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.

The probability of observing a sample statistic more extreme than the one actually obtained, assuming the null hypothesis is true so, here The probability of the type I error.

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For the graph given for function |x-1|, the relation is one - to - one.

What is a relation?

In mathematics, a relation describes the connection between two distinct collections of data. If more than two non-empty sets are taken into consideration, the relationship between them will be determined if there is a connection between their components.

The graph given is a graph of function |x-1|.

The graph of |x-1| is a V-shaped graph, with the vertex at (1, 0) and the arms extending upward and downward from the vertex.

Since the graph of |x-1| passes the horizontal line test, it is a one-to-one function.

This means that every input (x-value) has a unique output (y-value) and no two different inputs can have the same output.

Therefore, the relation represented by the graph of |x-1| is a one-to-one relation.

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Answer:

8 cubic cm

Step-by-step explanation:

6 * ( L square ) = 24

L= 2

then

v= l cube

= 2*2*2

=8

The variance of a fair die that has been rolled 14 times and the number of faces that appear exactly three times is 2.33.

The variance of X can be calculated using the following formula:
Var(X) = Σ(P(X=x)*(x-μ)²)/N
Where Σ represents the summation of all possible outcomes, P(X=x) is the probability of an event occurring, x is the possible outcome, μ is the mean of all possible outcomes, and N is the number of trials.

In this case, the number of possible outcomes of a fair die is 6, and since the die has been rolled 14 times, N = 14. To calculate the mean, we use the formula μ = ΣP(X=x)*x, and in this case, the mean would be 3 since each face appears exactly 3 times.

Therefore, Var(X) = Σ(P(X=x)*(x-3)²)/14. We can then calculate the variance of X by substituting in the probabilities for each face: P(X=1) = 1/14, P(X=2) = 1/14, P(X=3) = 1/14, P(X=4) = 1/14, P(X=5) = 1/14, and P(X=6) = 1/14.

This yields a variance of 2.33, as calculated below:
Var(X) = (1/14 * (1-3)² + 1/14 * (2-3)² + 1/14 * (3-3)² + 1/14 * (4-3)² + 1/14 * (5-3)² + 1/14 * (6-3)²)/14
= 2.33.

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To determine the required sample size for a political poll with a 4% margin of error and a 97.5% confidence level, a formula can be used. For this scenario, the sample size required would be approximately 862 respondents.

To calculate the sample size needed for a political poll with a 4% margin of error and a 97.5% confidence level, the following formula can be used:

n = (Z^2 * p * (1-p)) / E^2

Where:

n is the sample size

Z is the Z-score associated with the desired confidence level (in this case, it is 2.24)

p is the expected proportion of support for the candidate (this value is typically unknown, so a conservative estimate of 0.5 is often used to get the maximum sample size)

E is the margin of error

Plugging in the values for this scenario, we get:

n = (2.24^2 * 0.5 * (1-0.5)) / 0.04^2

n ≈ 862

Therefore, the required sample size for this political poll is approximately 862 respondents. This sample size would provide a margin of error of 4% at a 97.5% confidence level, meaning that there is a 97.5% chance that the true proportion of support for the candidate lies within the range of the survey results plus or minus the margin of error.

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Using simple unitary method and expanding the provided mixed fractions, The answer is 1/3 glass of water in one hour.

The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

4/5 of 10-ounce glass is 8 ounce of water.

\(2\frac{2}{5} \\=\frac {12}{5}\\=2.4\)

8 ounce of water in 2.4 hours.

8/2.4 ounce of water in 1 hour.

3.33 ounce of water in an hour.

1 glass consist of 10 ounce of water.

1/10 glass consist of 1 ounce of water.

3.33/10 glass consist of 3.33 ounce of water.

1/3 is the final answer.

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Answer:

20

Step-by-step explanation: