Kevin pays $12.95 for a text messaging service plus $0.07 for each text message he sends. Which of the following equations could be used to represent the total cost, y, when x represents the number of text messages sent?

Answer:

22/7

Step-by-step explanation:

Diameter is 2m

we know,

radius= Diameter/2

r = d/2

r = 2/2

r = 1

Now,

area of circle= πr^2

22/7 * 1^2

22/7 ....... answer

Answer:

r=d/2

r=2/2

r=1

area=22/7×r

22/7×1

=31/7

Answer:

12 miles

Step-by-step explanation:

he is walking at four miles per hour

Step-by-step explanation:

2+19=7x

21=7x

21÷7=7x÷7

3=x

..

Answer:

Step-by-step explanation:

Esto significa que así como x aumenta, y aumenta y así como x disminuye, y disminuye. La gráfica de la ecuación de variación directa es una línea recta a través del origen. Ejemplo 1: Dado que x varía directamente con respecto de y , con una constante de variación k = 1/3, encuentre y cuando x = 12.

Answer:

Constant of variation or constant of proportionality

Step-by-step explanation:

Intercept form (y = mx + b):
2x + 3y = 16.9
3y = -2x. The intersection point is the solution (x, y) to the system.

To solve the system of linear equations by graphing, we need to plot the two equations on the same coordinate plane and find the point where they intersect.

Let's rearrange the equations to slope-intercept form (y = mx + b):

2x + 3y = 16.9

3y = -2x + 16.9

y = (-2/3)x + 5.63

5x = y + 7.4

y = 5x - 7.4

Now, we can plot the two equations on the same graph:

The intersection point appears to be approximately (3, 4). Therefore, the solution to the system of linear equations is:

x = 3

y = 4
Hi! To solve the given system of linear equations by graphing, first, we need to rewrite the equations in slope-intercept form (y = mx + b).

Equation 1 2x + 3y = 16
Divide by 3 y = (-2/3)x + (16/3)

Equation 5x = y + 7.4
Subtract 7.4  y = 9.5x - 7.4

No, graph these two lines on a coordinate plane. The point where they intersect is the solution to the system of linear equations.

The lines can be graphed using graphing software or by hand. Determine some points by plugging in x-values and calculating the corresponding y-values, then connect the points to form the lines. The intersection point is the solution (x, y) to the system.

Learn more about coordinates brainly.com/question/16634867

#SPJ11

Firm B appears to have the competitive advantage in terms of consumer willingness to pay a higher price for its laptop.

To determine a fair price for the house based on the neighborhood comps, we can use the equation of the line of best fit: y = 0.071x + 52.48. In this equation, "x" represents the size of the house in square feet (1483 square feet in this case), and "y" represents the predicted price of the house.

To find the fair price, we need to substitute the given square footage value into the equation and solve for "y":

y = 0.071(1483) + 52.48

Calculating this expression:

y = 105.113 + 52.48

y ≈ 157.593

The predicted price of the house, based on the line of best fit, is approximately $157,593.

However, it's important to note that this is an estimated fair price based on the neighborhood comps and the linear relationship provided by the line of best fit. Other factors such as location, condition of the house, market demand, and additional features can influence the actual fair market value of a property.

To obtain a more accurate assessment of the house's fair price, it's recommended to consult a professional real estate appraiser who can consider all relevant factors and provide an in-depth valuation based on a comprehensive analysis.

If Firm A and Firm B both produce a laptop at the same total cost, but the reservation price for Firm A's laptop is $1,000 and the reservation price for Firm B's laptop is $1,200, who has the competitive advantage

ChatGPT

In this scenario, Firm B has the competitive advantage over Firm A. The reservation price represents the maximum price that a consumer is willing to pay for a product. A higher reservation price indicates that consumers perceive more value in the product and are willing to pay a higher price for it.

Since Firm B's laptop has a reservation price of $1,200, compared to Firm A's reservation price of $1,000, it implies that consumers are willing to pay more for Firm B's laptop. This indicates that Firm B's laptop is perceived as having a higher value or quality by consumers.

Given that both firms produce the laptop at the same total cost, Firm B's higher reservation price indicates that it can potentially charge a higher price for its laptop while still remaining competitive in the market. This gives Firm B a competitive advantage over Firm A, as it has the opportunity to generate higher profits per unit sold or capture a larger market share by offering a product with a higher perceived value.

It's worth noting that other factors, such as marketing strategies, product features, brand reputation, and customer preferences, can also influence the competitive advantage between the two firms. However, based on the given information regarding the reservation prices, Firm B appears to have the competitive advantage in terms of consumer willingness to pay a higher price for its laptop.

Learn more about consumer here

https://brainly.com/question/28160621

#SPJ11

a. Equilibrium price and quantity can be calculated by equating the demand and supply function i.e,

Qd = Qs:

50 - 2P = -10 + 2P

P = 20

Q = 50 - 2(20)

Q = 10 units

Thus, the equilibrium price and quantity are P = 20 and Q = 10 units respectively.

The graph for demand and supply function at equilibrium is shown below:

Equilibrium graph. Producer surplus can be calculated as the area below the price line and above the supply curve.

At equilibrium, the producer surplus can be calculated as:

PS = (20-10) * (10- (-10))/2

PS = 150

The producer surplus at equilibrium is 150.

c. Total surplus is the sum of consumer and producer surplus. At equilibrium, the total surplus can be calculated as:

TS = CS + PS

TS = (1/2) * (20-50) * 10 + (20-(-10)) * 10/2

TS = -150 + 150

TS = 0 units

The total surplus at equilibrium is 0 units. The new budget line equation can be derived from the following demand function:

Q = 50 - 2P

P = 25 - Q/2

Let M denote the new budget line.

If all the income is spent on the product, then the maximum price and quantity of the product that can be purchased can be given as:

M = PQ + Y

where, Y denotes the income.

Let Y = 1000 and P = 20, the new budget line can be calculated as:

M = 20Q + 1000

New budget line equation: M = 20Q + 1000

To learn more click the below link

https://brainly.com/question/22569960

#SPJ11

The number of ways voters could rank their first 5 choices out of 10 is 30240.

Given,

Number of students sought the nomination for president of the student body = 10 students

We have to find the number of ways voters could rank their first 5 choices.

Permutation;

An arrangement of items in a specific order is referred to as a permutation. Here, the components of sets are arranged in a linear or sequential order.

Here we have to use permutation formula;-

ⁿPr = n! /  (n - r)!

Here,

n is the number of students = 10

r is the choices = 5

Then,

ⁿPr = n! /  (n - r)!

¹⁰P₅ = 10! / (10 - 5)!

¹⁰P₅ = 10! / 5!

¹⁰P₅ = 10 x 9 x 8 x 7 x 6

¹⁰P₅ = 30240

That is,

The number of ways voters could rank their first 5 choices out of 10 is 30240.

Learn more about permutation here;

https://brainly.com/question/1216161

#SPJ1

Answer:

1.19

Step-by-step explanation:

The original full amount is 100%.

When you increase the full amount by 19%, you add 19% of the full amount to the full amount, so now you have 119%.

To find 119% of an amount, multiply he amount by 1.19 since 119% = 1.19

Answer: 1.19

The image of the point after the transformation of 3 units on the x-axis and – 3 units on the y-axis is (0, 0)

Given that the initial location of the point is

Point S = (-3, 3)

Next, we have the translation rule to be

3 units on the x-axis and – 3 units on the y-axis

Mathematically this can be expressed as

(x + 3, y - 3)

By substitution, we have

Image of point = (-3 + 3, 3 - 3)

Evaluate

Image of point = (0, 0)

Hence, the image is (0, 0)

Read more about transformation at

https://brainly.com/question/4289712

#SPJ1

Answer:

sqrt(5) = 2.2360679775

Rounded To The Nearest Tenth

2.2

Step-by-step explanation:

Answer: 210

Step-by-step explanation: the correct answer on edge2020

The probability that one person eats out, three people see a movie, two people have a party, and one person stays at home, out of seven randomly selected people, can be calculated by multiplying the individual probabilities together.

To calculate the probability, we multiply the probability of each event happening: P(eats out) * P(sees a movie)³ * P(has a party)² * P(stays at home).

Given that 34% of people go out to dinner (0.34), 18% see a movie (0.18), 13% have a party (0.13), and 35% stay home (0.35), we can substitute these values into the probability calculation.

P(one eats out, three see a movie, two have a party, and one stays at home) = 0.34 * (0.18)³ * (0.13)² * 0.35.

By evaluating this expression, we can find the probability that exactly one person eats out, three people see a movie, two people have a party, and one person stays at home out of the seven randomly selected people.

Learn more about Probability

brainly.com/question/31828911

#SPJ11

Answer:

x=70

Step-by-step explanation:

If we extend the lines we can create an imaginary angle that is directly vertically opposite angle x (see picture for visualisation).

Then, using the rule that alternate interior angles are equal, we can deduct that this new angle is 30+40=70 degrees.

Finally, we know that vertically opposite angles are also equal meaning that x=70 degrees.

Hope this helped!

Answer:

Step-by-step explanation:

Hope this Helps ;)

The total arc length AB that the pendulum travels is approximately 13.96 inches.

To find the total arc length traveled by the pendulum, we can use the formula for the arc length of a pendulum given by:

Arc length (s) = θ × r

where θ is the angle in radians and r is the length of the pendulum.

However, in this case, we are given the angle in degrees, so we need to convert it to radians. The formula for converting degrees to radians is:

θ (in radians) = (π/180) × θ (in degrees)

Given that the angle is 80°, we can convert it to radians as follows:

θ (in radians) = (π/180) × 80° = (4π/9) radians

Now, we can calculate the arc length:

Arc length (s) = (4π/9) radians × 10 inches

The total arc length traveled by the pendulum is therefore:

Arc length (s) = (40π/9) inches

To approximate the answer, we can use the value of π as approximately 3.14:

Arc length (s) ≈ (40 × 3.14/9) inches

Arc length (s) ≈ 13.96 inches

Therefore, the total arc length AB that the pendulum travels is approximately 13.96 inches.

Please note that this calculation assumes that the pendulum swings in a perfect arc without any friction or external factors affecting its motion. In reality, there may be slight variations due to factors such as air resistance or imperfections in the pendulum's motion.

For more such question on pendulum visit:

https://brainly.com/question/26146375

#SPJ8

There are 32,160 ways to arrange the letters in ""visiting"" with no pair of consecutive ""i's"".

To count the number of ways to arrange the letters in ""visiting"" with no pair of consecutive ""i's"", we can use the principle of inclusion-exclusion.

Let's first consider the total number of arrangements of the letters in ""visiting"" without any restrictions. We have 8 letters, so the total number of arrangements is 8! = 40,320.

Now let's consider the number of arrangements where the two ""i's"" are together. We can treat the two ""i's"" as a single letter, so we have 7 letters to arrange. There are 7! = 5,040 ways to arrange these letters, and within each arrangement there are 2! = 2 ways to arrange the ""i's"". So there are 2 x 5,040 = 10,080 arrangements where the two ""i's"" are together.

However, we have overcounted some arrangements, namely those where there are three consecutive ""i's"". To count these arrangements, we can treat the three ""i's"" as a single letter, so we have 6 letters to arrange.

There are 6! = 720 ways to arrange these letters, and within each arrangement there are 3! = 6 ways to arrange the ""i's"".

So there are 6 x 720 = 4,320 arrangements where there are three consecutive ""i's"".

Thus, by the principle of inclusion-exclusion, the number of arrangements of ""visiting"" with no pair of consecutive ""i's"" is:

8! - 10,080 + 4,320 = 32,160

Therefore, there are 32,160 ways to arrange the letters in ""visiting"" with no pair of consecutive ""i's"".

Click the below link, to learn more about consecutive pairs:

https://brainly.com/question/29012599

#SPJ11

Answer:

x = 17 degrees

Complementary Angle

Step-by-step explanation:

x is a complementary angle, this means that when you add it's angle with another angle, the sum would be 90 degrees

To figure out what x is, subtract 73 from 90:

90 - 73

which gives you 17

therefore, x = 17

The coordinates of P'Q'R'S' and P"Q"R"S" are P'(-2, 3), Q'(1, 3), R'(1, 1) ,S'(-2, 1) and P''(-6, 1), Q''(-3, 1), R''(-3, -1), S''(-6, -1).

A dilation is a transformation that yields a picture that differs in size while maintaining the original image's shape

The coordinates of the rectangle are P(-6,9), Q(3,9), R(3,3), and S(-6,3).

To find the coordinates of the rectangle after the dilation by a scale factor of 1/3, multiply each coordinate of the original rectangle by 1/3:

P'(-6/3, 9/3), Q'(3/3, 9/3), R'(3/3, 3/3), and S'(-6/3, 3/3)

Simplify the coordinates:

P'(-2, 3), Q'(1, 3), R'(1, 1), and S'(-2, 1)

Now, the coordinates of the rectangle P'Q'R'S' after the translation of 4 units to the left and 2 units down are:

P''(-2 - 4, 3 - 2), Q''(1-4, 3 - 2), R''(1 - 4, 1 - 2), and S''(-2 - 4, 1 - 2)

Simplify the coordinates:

P''(-6, 1), Q''(-3, 1), R''(-3, -1), and S''(-6, -1)

Hence, the coordinates of P'Q'R'S' and P"Q"R"S" are P'(-2, 3), Q'(1, 3), R'(1, 1) ,S'(-2, 1) and P''(-6, 1), Q''(-3, 1), R''(-3, -1), and S''(-6, -1).

Learn more about the dilation:

https://brainly.com/question/13176891

#SPJ1

9 meters cost P600

Step-by-step explanation:

3×3 = 9

p200×3 =P600

The solution of the expression -3(3x+1) - (2+x) =0 is,

x = -1/2  or -0.5

The given mathematical expression is ,

-3(3x+1) - (2+x) =0

To solve it,

Expand the expression

⇒ -9x - 3 - 2 - x = 0

We can write it as,

⇒ -10x - 5 = 0

Add 5 both sides,

⇒ -10x - 5 + 5 = 5

⇒            -10x  = 5

Divide both sides by -10 we get

⇒                x  = -5/10

⇒                x  = -1/2

Hence,

The required value of x = -1/2.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

A bar chart should be used to describe the frequency table of the survey responses for room service in a hotel. The chart would have three bars representing the frequency of each response category: not satisfied (20), satisfied (40), and highly satisfied (60).

Based on the given survey data and terms, you can use a bar chart to describe the frequency table.
1. Create a bar chart with a horizontal axis representing the different response categories: Not Satisfied, Satisfied, and Highly Satisfied.
2. Label the vertical axis as "Frequency" to indicate the number of occurrences for each category.
3. For each response category, draw a bar with a height corresponding to its frequency from the breakdown: Not Satisfied (20), Satisfied (40), and Highly Satisfied (60).
4. Ensure the bars are evenly spaced and clearly labeled to accurately represent the frequency table.

A bar chart is suitable for this data because it visually represents the frequency of each response category, making it easy to compare and analyze the survey results.

Learn more about Frequency:

brainly.com/question/29739263

#SPJ11

Answer:

The latest time she can leave is 6:56 A.M.

Step-by-step explanation:

Just trust me. :)

The probabilities of the states of nature after revising the prior probabilities based on sample information are called posterior probabilities.

The concept of posterior probabilities is fundamental in Bayesian statistics, which is a branch of statistics that deals with probability distributions of parameters based on prior knowledge and observed data. In Bayesian statistics, the prior probability represents the degree of belief in a hypothesis before new data is collected. The posterior probability, on the other hand, represents the updated degree of belief in the hypothesis after new data is collected.

The posterior probability is calculated using Bayes' theorem, which relates the conditional probabilities of the hypothesis and the data. The formula for Bayes' theorem is:

posterior probability = (prior probability x likelihood) / evid

The likelihood represents the probability of observing the data given the hypothesis, while the evidence is a normalizing constant that ensures the posterior probability integrates to one.

for such more question on  posterior probabilities.

https://brainly.com/question/13604758

#SPJ11

Answer: 33

Step-by-step explanation: I am too lazy to add this

Answer:

2 to the 3rd of the queation would be around 17

Step-by-step explanation:

Answer:

-2 over 3 is located to the left of -1

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the number of customers be x.

Annual gross income in terms of the number of customers:

Annual gross income in terms of profit and expenses:

The above two numbers should be equal, this will give us the number of customers:

Correct choice is D