miguel went to a movie theater and bought a large bag of popcorn that cost $10.49. to avoid spending too much money in all, he determined that he could spend up to $5.51 on a drink. let x represent how much money miguel wanted to spend in all. which inequality describes the problem?

We know that the temperature was 56°F at midnight, so we can plot the point (24, 56)

What is graph ?

Graph can be defined as visual representation of given data using the ordered pairs.

To graph Elroy's data, we can use the x-axis to represent the time of day in hours and the y-axis to represent the temperature in degrees Fahrenheit.

First, we can plot the point (6, 50) to represent the temperature at 6am.

Next, we can use the information that the temperature rose 3° per hour for the next 4 hours. This means that at 10am, the temperature would be 50 + 3(4) = 62°F. We can plot this point at (10, 62). Similarly, we can find the temperature at 7am, 8am, and 9am using the same formula and plot those points as well.

Then, we can use the information that the temperature rose 2° per hour for the next 6 hours. This means that at 4pm, the temperature would be 62 + 2(6) = 74°F. We can plot this point at (16, 74). Similarly, we can find the temperature at 11am, 12pm, 1pm, 2pm, and 3pm using the same formula and plot those points as well.

The temperature then stayed steady until 6pm, so we can draw a horizontal line at y = 74 from 4pm to 6pm.

For the next 2 hours, the temperature dropped 1° per hour. This means that at 8pm, the temperature would be 74 - 2 = 72°F. We can plot this point at (20, 72). Similarly, we can find the temperature at 7pm using the same formula and plot that point as well.

Therefore,  we know that the temperature was 56°F at midnight, so we can plot the point (24, 56).

To learn more about Graph from given link.

https://brainly.com/question/17267403

#SPJ1

Answer:

To find how many refrigerator magnets can be made with 9 3/8 inches of magnetic tape, we need to divide the total length of magnetic tape by the length of magnetic tape used for each magnet.

First, we need to convert the mixed number 9 3/8 to an improper fraction:

9 3/8 = (9 x 8 + 3)/8 = 75/8

Next, we divide 75/8 by 5/8 to find how many magnets can be made:

(75/8) ÷ (5/8) = (75/8) x (8/5) = 15

Therefore, 15 refrigerator magnets can be made with 9 3/8 inches of magnetic tape.

Answer:

the amswer is five apples

Answer:

68.2 degrees

Step-by-step explanation:

[tex]1.19\frac{180}{\pi }[/tex]

[tex]68.2[/tex] degrees

A group of observations measured at successive time intervals is known as a(n) time series. So, correct option is C.

A time series is a collection of observations or measurements that are taken at regular intervals over time. These observations can be of any variable that changes over time, such as stock prices, weather patterns, or population growth. Time series analysis is a statistical technique used to understand and interpret the patterns and trends in such data.

The data in a time series can be analyzed to identify trends, seasonal variations, and other patterns that may exist over time. These patterns can be used to develop forecasts and make predictions about future values of the variable being measured.

On the other hand, an additive time series model is a specific type of model used to analyze time series data. It involves decomposing a time series into its underlying components, such as trend, seasonality, and random fluctuations, and modeling each component separately.

This approach can help to improve the accuracy of forecasts and predictions based on the time series data.

In summary, a time series is a collection of observations measured at successive time intervals, while an additive time series model is a specific type of statistical model used to analyze and forecast time series data.

Therefore, Option C is correct answer.

To learn more about time series click on,

https://brainly.com/question/15114845

#SPJ4

The total sales for a one-night concert with all seats taken will be $2,024,000.

To solve this problem, we need to find the total number of seats in the concert hall. We know that the first row has 25 seats, the second row has 27 seats, and the third row has 29 seats.

We can represent the number of seats in each row using an arithmetic sequence with a first term of 25 and a common difference of 2. The nth term of this sequence can be found using the formula:

a_n = a_1 + (n - 1)d

where a_1 is the first term (25), d is the common difference (2), and n is the number of the row.

Using this formula, we can find the number of seats in the 20th row

a_20 = 25 + (20 - 1)2

a_20 = 25 + 38

a_20 = 63

Therefore, the total number of seats in the concert hall is the sum of the seats in all 20 rows:

total seats = 25 + 27 + 29 + ... + 63

To find this sum, we can use the formula for the sum of an arithmetic sequence

S_n = (n/2)(a_1 + a_n)

where S_n is the sum of the first n terms of the sequence. In this case, n = 20, a_1 = 25, and a_n = 63.

S_20 = (20/2)(25 + 63)

S_20 = 10(88)

S_20 = 880

Therefore, there are a total of 880 seats in the concert hall. If all seats are taken, the total sales for the one-night concert will be

total sales = number of seats x price per ticket

total sales = 880 x $2,300

total sales = $2,024,000

Learn more about arithmetic sequence here

brainly.com/question/28882428

#SPJ4

A Zygote is/are formed immediately after the union of sperm and ovum in the fallopian tube.

A zygote is a cell formed when two gamete cells are fused by means of sexual reproduction. These cells contain a single set of chromosomes from both the father and the mother of the offspring. As a result, the zygote contains all of the genetic information required to create a completely new person. After the fertilization of the ovum by the sperm, the zygote is formed. The zygote will continue to divide into a multicellular embryo and eventually a fetus after fertilization has taken place.

The fusion of a sperm cell with an ovum in the fallopian tube leads to the formation of a zygote, which involves the combination of genetic material from both parents resulting in the creation of a single-celled zygote. This zygote then initiates the process of cell division and progresses into an embryo.

To know more about the "zygote": https://brainly.com/question/1151355

#SPJ11

1. The quotient in lowest terms of the given rational division is (x+2)/(3x-9).

2. The values of r is A. x=-2 and B. x=0.

Factor is a quantity which when multiplied by another quantity, produces a given product. Factors are used to simplify and solve equations, as well as in other areas of mathematics. Factors can be numbers, variables, and expressions.

To find the lowest terms, we must divide the numerator and denominator by the same number. The largest common factor of the numerator and denominator is 3. Dividing both the numerator and denominator by 3, we get (x+2)/(3x-9) = (x+2)/(x-3).

The values of r that must be excluded from the domains of the expressions are x=0 and x=3. x=0 must be excluded because it will create a zero in the denominator which is not allowed. x=3 must also be excluded because it will create a zero in the numerator, and thus make the entire expression equal to 0. Thus, the correct answer is A. x=-2 and B. x=0.

For more questions related to division

https://brainly.com/question/25289437

#SPJ1

The description of the transformations of the parent functions to produce the graphs of f(x) = sin(2x) and g(x) = csc(2x) are

a. The graphs of f(x) = sin(2x) and g(x) = csc(2x) are a horizontal compression by a factor of (1/2) of the graphs of y = sin(x) and y = csc(x).

b. 0, π/2, π, 3·π/2

c. 0, π/2, π, 3·π/2

A transformation of a function is an operation that changes the function's graph in some way.

a. The graph of f(x) = sin(2x) is obtained by taking the graph of sin(x) and horizontally compressing it by a factor of 1/2. This is because the argument of the sine function has been multiplied by 2, which causes the period of the function to be halved.

The graph of g(x) = csc(2x) is obtained by taking the graph of y = csc(x) and horizontally compressing it by a factor of 1/2. This is because the argument of the cosecant function has been multiplied by 2, which causes the period of the function to be halved.

b. The x-intercepts of the graph of f(x) = sin(2x) are the values of x for which f(x) = 0. Since sin(2x) = 0 when 2x is an integer multiple of π, we can find the x-intercepts by solving the equation 2x = n·π for x, where n is an integer. This gives us x = n·π/2. o four x-intercepts of the graph of f are x = 0, x = π/2, x = π, and x = 3·π/2.

c. The vertical asymptotes of the graph of the function g(x) = csc(2x) are the values of x for which g(x) is undefined. Since csc(2x) is undefined when 2x is an integer multiple of π, we can find the vertical asymptotes by solving the equation 2x = n·π for x, where n is an integer. This gives us x = (n·π)/2. So, four vertical asymptotes of the graph of g are x = π/2, x = 3·π/2, x = 5·π/2 and x = 7·π/2.

Learn more on the transformation of a function here: https://brainly.com/question/30968712

#SPJ1

In the given pairs of intersecting parallel lines, the measure of ∠MPQ=125°.

Parallel lines are coplanar infinite straight lines in geometry that never cross. In the same three-dimensional geometry, parallel planes are any planes that never cross. Curves with a fixed minimal distance between them and no contact or intersection are said to be parallel.

The angles created when a diagonal intersects two parallel lines are known as corresponding angles. According to the definition of corresponding angles, when two parallel lines cross a third one, the angles that are in the same relative location at each intersection are referred to as being corresponding angles to one another.

In this figure, ∠LMN=∠MPQ since they are corresponding angles

5x=3x+50

on solving, we get

x=25

Therefore, ∠MPQ= 125°

To know more about parallel lines, visit

https://brainly.com/question/16701300

#SPJ1

The statement "A global firm is a firm that operates in more than one country and captures R&D, production, logistical, marketing, and financial advantages not available to purely domestic competitors." is the correct .

Therefore option C is correct.

What is a global firm?

A global firm is a company that operates in more than one country and has access to research and development, production, logistical, marketing, and financial advantages that are not available to purely domestic rivals.

Global companies have expanded beyond their home country's boundaries to capitalize on the advantages of global sourcing and production.

Global companies have a variety of advantages that pure domestic companies do not have.

The following are some of the benefits of global businesses:

In conclusion, a global firm is a firm that operates in more than one country and captures R&D, production, logistical, marketing, and financial advantages not available to purely domestic competitors.

Therefore option C is correct.

To know more about Global firm:

https://brainly.com/question/28318131

#SPJ11

we can, now  if we look at 0 = x² + 5, that's when the parabola y-value is 0, that is, what's "x" when y = 0? well, if we look at the graph, the graph never touches the x-axis, so that means the graph never has any "real roots", only complex ones or imaginary ones.  We can tell because the graph never touches the x-axis.

The exponential function that relates the total population, is [tex]P(t)=540,000\left [ 1+(5.1/100) \right ]^t[/tex] and the rate at which the population is increasing in the year 2019 is 69114.53.

The exponential function in mathematics is represented by the symbol eˣ (where the argument x is written as an exponent). The word, unless specifically stated differently, normally refers to the positive-valued function of a real variable, however it can be extended to the complex numbers or adapted to other mathematical objects like matrices or Lie algebras.

we know that ,

the population of any city can be modeled in the form of exponential function as follows:

[tex]P(t)=P(0)(1+R)^t[/tex]    

where, P(t)=population of the town at any given time t

P(0)=population of the town initially (in the year 2000 for this problem)=540,000

R=rate of increase (=5.1% in the given problem)

substituting the values in eqn(1), we get

[tex]P(t)=540,000\left [ 1+(5.1/100) \right ]^t[/tex]

as we know that

[tex]\because \frac{d}{dx}(a^x )=a^xln(a)[/tex]

so differentiating w.r.t. we get,

[tex]P'(t)=540,000\left [ 1+(5.1/100) \right ]^t*ln(1+(5.1/100) )\\\\P'(t)=540,000\left [ (105.1/100) \right ]^t*ln(105.1/100)\\\\P'(t)=540,000\left [ (1.051) \right ]^t*ln(1.051)[/tex]

so, the rate at which population is increasing in the year 2019 =

[tex]P'(19)=540,000(1.051)^{19}*ln(1.051)[/tex]

P'(19)= 69114.53.

Learn more about Exponential function:

https://brainly.com/question/29235027

#SPJ4

Complete question:

The population of Toledo, Ohio, in the year 2000 was approximately 540,000. Assume the population is increasing at a rate of 5.1 % per year.

a. Write the exponential function that relates the total population, P(t), as a function of t, the number of years since 2000. P(t) = =

b. Use part a. to determine the rate at which the population is increasing in t years. Use exact expressions. P'(t) people per year

c. Use part b. to determine the rate at which the population is increasing in the year 2019. Round to the nearest person per year. P'(19) = people per year

Answer:

Step-by-step explanation:

We know that

To now how many pounds will be in each bag, we have to divide

[tex]3 \ lb \div12 \ bags =0.25 \ lb/bag[/tex]

This means that May will have 0.25 pounds per bag, that is, a quarter pound of raisin in each bag.

If we divide this using the long method, we would have to add a zero to "3", because 3 is less than 12, so we have to transform it from "3" to "30". To be able to do that, we have to add a decimal point to the quotient, and then continue with the division.

The expense of 1.5 lbs of bananas and 1 gallon of apple juice, according to the provided statement, is $7.45.

Multiplication is one of the four basic operations in mathematics, along with adding, subtracting, and division. Multiply in mathematics refers to the continual adding of sets of identical size.

The cost of 1.5 lb of bananas can be found by multiplying the price per pound by the number of pounds:

Cost of 1.5 lb of bananas = 1.5 x $1.97 = $2.96 (rounded to the nearest cent)

The cost of 1 gallon of apple juice is $4.49.

So, the total cost of 1.5 lb of bananas and 1 gallon of apple juice is:

Total cost = Cost of bananas + Cost of apple juice

Total cost = $2.96 + $4.49

Total cost = $7.45

Therefore, the cost of 1.5 lb of bananas and 1 gallon of apple juice is $7.45.

To know more about Multiply visit:

https://brainly.com/question/233244

#SPJ1

The top of the ladder is 12 feet above the ground, the bottom of the ladder will be moving away from the wall at a rate of 0.096 ft/s.

The question is: a 13 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 1.25 ft/s, how fast will the bottom of the ladder be moving away from the wall when the top is 12 feet above the ground?

To answer this question, we can use the concept of right triangle geometry. We know that when the top of the ladder is 12 feet above the ground, the bottom of the ladder is 13 feet away from the wall.

We can use the Pythagorean Theorem to calculate the hypotenuse of this right triangle, which is the total length of the ladder. This will allow us to calculate the rate at which the bottom of the ladder is moving away from the wall.

The Pythagorean Theorem states that

a^2 + b^2 = c^2,

where a and b are the lengths of the legs of a right triangle, and c is the length of the hypotenuse.

In this case, a is 12 and b is 13.

Therefore,

122 + 132 = c^2, or c^2 = 169.

Therefore, c = 13.04 feet.

This is the total length of the ladder.

We now have the total length of the ladder, so we can calculate the rate at which the bottom is moving away from the wall.

Since we know the top is moving at a rate of 1.25 ft/s, and the total length of the ladder is 13.04 feet, the bottom must be moving at a rate of (1.25/13.04) = 0.096 ft/s.

For similar question on Pythagorean Theorem

https://brainly.com/question/231802

#SPJ11

The Existence and Uniqueness Theorem states that if a system of linear equations has a unique solution, then the solution can be found by solving the associated augmented matrix.

To determine whether a system of linear equations has a unique solution, the number of equations must equal the number of unknowns. Additionally, the equations must not be linearly dependent. If these criteria are met, then the Existence and Uniqueness Theorem guarantees that there is exactly one unique solution.

To illustrate, consider the system of equations:

x1 + x2 - x3 = 2  

2x1 - x2 + 2x3 = 8

3x1 + 2x2 - 4x3 = 0

= 4. Therefore, the Existence and Uniqueness Theorem guarantees that there is exactly one unique solution for this system.

See more about  existence and uniqueness at: https://brainly.com/question/30153142

#SPJ11

Surface area

2 triangles: Just do bh instead of 1/2bh, bh = 8 * 3 = 24

2 rectangles: 2bh but we first need to find h. The altitude pictured by dotted line, creates a right triangle where its hypotenuse is h. Since it also has side lengths 3 and 4, h = 5 (by pythag triplets). Then, 2bh = 2 * 12 * 5 = 120

base: bh = 12 * 8 = 96

Adding these areas we have 24 + 120 + 96 = 240

Volume: Bh (big b signifies area of the base)

B = area of the triangle = 1/2bh = 1/2 * 8 * 3 = 12

So Bh = 12 *12 = 144

Hope this helps you understand the process.

The probability that a student chosen randomly from the class is an only child is 0.23 or 23%.

What is the probability?

To find the probability that a student chosen randomly from the class is an only child, we need to add up the number of students who do not have a brother and do not have a sister, and then divide by the total number of students in the class.

From the table, we can see that there are 6 students who do not have a sister and do not have a brother. Therefore, the probability that a student chosen randomly from the class is an only child is:

P(only child) = number of only children / total number of students

= 6 / (2 + 13 + 5 + 6)

= 6 / 26

= 0.23 (rounded to two decimal places)

Therefore, the probability that a student chosen randomly from the class is an only child is 0.23 or 23%.

To know more about probability, visit:

https://brainly.com/question/11234923

#SPJ1

Extending to Three Dimensions depend on the specific questions asked and can be calculated using the formula for the volume of a three-dimensional object.

The answers to Edmentum's Unit 3 Post Test: Extending to Three Dimensions depend on the specific questions asked. Generally, the test covers topics such as the definition of three-dimensional objects, the properties of three-dimensional space, and the relationships between three-dimensional figures. For example, a question might ask how to calculate the volume of a rectangular prism. To answer this, one would need to calculate the area of each of the rectangles that make up the prism and then multiply them together to get the volume. For example, if the length of the prism is 4, the width is 3, and the height is 2, the volume of the prism would be 24 (4 * 3 * 2 = 24).

Learn more about Dimensions here:

https://brainly.com/question/31209488

#SPJ1

Answer:

Mira's monthly income: Rs. 55,000

Allowance: Rs. 3,000

Total monthly income before festival expenses: Rs. 58,000

Festival expenses (equivalent to monthly basic salary): Rs. 55,000

Total monthly income including festival expenses: Rs. 113,000

Amount deducted for provident fund (10% of monthly income excluding allowance and festival expenses):

10% of (Rs. 55,000) = Rs. 5,500

Total monthly deduction for provident fund: Rs. 5,500

Taxable income:

Total monthly income including festival expenses - Total monthly deduction for provident fund = Rs. 107,500

To calculate the annual tax to be paid by Mira, we need to know the income tax rates and tax slabs applicable for the current financial year. Without this information, we cannot provide an accurate answer

Answer:

y- intercept = 18

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 3x + 8 ← is in slope- intercept form

with slope m = - 3

• Parallel lines have equal slopes , then

y = - 3x + c ← is the partial equation

to find c substitute (5, 3 ) into the partial equation

3 = - 3(5) + c = - 15 + c ( add 15 to both sides )

18 = c

y = - 3x + 18 ← equation of parallel line

with y- intercept c = 18

Answer: To find the mean of the data set, you need to calculate the sum of the products of each length and its corresponding frequency, and then divide that sum by the total number of roses.

Using the data set given, the sum of the products is:

(2 * 22) + (4 * 23) + (5 * 24) + (3 * 25) + (1 * 26) = 221

The total number of roses is:

2 + 4 + 5 + 3 + 1 = 15

Therefore, the mean length of the roses is:

221 / 15 = 14.73 ≈ 24 cm

So, the answer is 24 cm.

Step-by-step explanation:

Answer:

24 but the test is wrong

Step-by-step explanation:

Soooo i dont know what the answer in the test is but the answer is 24. If you add them all up, 22 23 24 25 26, you get 120 which you then divide by  5. I dont know what the test wants u to answer tho.

Answer: 131.95 cm

Step-by-step explanation:

The diameter of the semicircle is 42 cm, which means the radius is half of that:

r = d/2 = 42/2 = 21 cm

The circumference of a full circle with radius "r" is given by the formula:

C = 2πr

Since this is a semicircle, we need to divide the circumference by 2:

C/2 = πr

Substituting the value of "r" we found above, we get:

C/2 = π(21)

Simplifying:

C/2 = 21π

C = 2(21π)

C ≈ 131.95

Rounding to the nearest hundredth, we get:

C ≈ 131.95 cm

Therefore, the circumference of the semicircle is approximately 131.95 cm.

Answer: 3.9b−2.6

Step-by-step explanation: Hope this helps

Answer:

1.3b

Step-by-step explanation:

The equation is -2.6+3.9b. A negative number acts like subtraction, so we would subtract 2.6 from 3.9 to get 1.3. The b is still there, and we don't know what it is, so we simplify the equation to 1.3b.

Sorry, this explanation isn't the best. Hope it helped! :)

The nurse should administer 3.5 mL of Lanoxin elixir 0.05 mg/mL to the patient to achieve the desired dose of 0.175 mg.

First, we need to convert the prescribed dose of 0.175 mg to milligrams per milliliter (mg/mL) using the concentration of the Lanoxin elixir, which is 0.05 mg/mL.

To determine how many milliliters of Lanoxin elixir 0.05 mg/mL the nurse should administer to the patient, we need to use a simple formula:

Dose = Desired dose / Stock strength

Where:

Desired dose is 0.175 mg

Stock strength is 0.05 mg/mL

So, substituting the values into the formula:

Dose = 0.175 mg / 0.05 mg/mL

Dose = 3.5 mL

To learn more about quantity click on,

https://brainly.com/question/30359965

#SPJ4

Answer:$30

Step-by-step explanation:

45-14=31

31-1=30

so the answer is 30

hope this helps

Therefore, the table showing the original points and their corresponding dilated points is:

Original Point     Dilated Point

(0,1)                  (0,1/2)

(4, -3)                (2, -3/2)

(-6,1)                 (-3,1/2)

I believe you might have meant "dilated point", which is a term commonly used in geometry. A dilated point is a point that has been enlarged or reduced in size with respect to a fixed center of dilation.

To dilate a point, you need to multiply its coordinates by a scale factor, which is a constant value greater than zero. If the scale factor is greater than one, the point will be enlarged, and if it is less than one, the point will be reduced in size. The fixed center of dilation is the point about which the dilated point is enlarged or reduced.

given by the question.

To apply the dilation rule of (1/2x, 1/2y) to a given point (x,y), we need to multiply the x-coordinate and y-coordinate of the original point by 1/2.

Using this rule, we can find the dilated points for the given set of points as follows:

For the point (0,1), we have:

1/2x = 1/2 * 0 = 0

1/2y = 1/2 * 1 = 1/2

So, the dilated point is (0, 1/2).

For the point (4, -3), we have:

1/2x = 1/2 * 4 = 2

1/2y = 1/2 * (-3) = -3/2

So, the dilated point is (2, -3/2).

For the point (-6,1), we have:

1/2x = 1/2 * (-6) = -3

1/2y = 1/2 * 1 = 1/2

So, the dilated point is (-3,1).

To learn more about dilation:

https://brainly.com/question/13176891

#SPJ1