Aubreys dad decides to check his luggage for his flight. The airlines are trying out a new fee structure where they charge a flat $40 for checked bags and then $. 50 per pound. Aubreys dad has bags that weigh a total of $60 pounds. How much will he have to pay?

Answer:

The number is -37.

Step-by-step explanation:

2(x - 8) = 3(x + 7)

2x - 16 = 3x + 21

x = -37

An equation that is represented by the graph below include the following: 3) y = |x| - 3.

In Mathematics, the translation a geometric figure or graph downward simply means adding a digit to the value on the y-coordinate of the pre-image or function.

In Mathematics, a vertical translation to the positive y-direction (downward) is modeled by this mathematical expression g(x) = f(x) - N.

Where:

In conclusion, we can logically deduce that the graph of the parent function was y = |x| stretched away from the y-axis and translated by 3 units downward;

y = |x|

f(x) = |x| - 3

Read more on translation here: brainly.com/question/26869095

#SPJ1

The gazebo with the longest side length is the heptagon.

A heptagon is a polygon with 7 sides. It has 7 edges and vertices.

The length of the side of a heptagon = (area of the heptagon x 2) / (number of sides x length of the apothem)

= (623.5 x 2) / (7 x 13.6)

= 1247 / 95.2

= 13.1 feet

A octagon is a polygon with 8 sides. It has 8 edges and vertices. The sum of internal angles in 135 degrees.

The length of the side of a octagon = (area of the octagon x 2) / (number of sides x length of the apothem)

= (517.8 x 2) / (12.5 x 8)

= 1035.6 / 100

= 10.356 feet

To learn more about an octagon, please check: https://brainly.com/question/12080203

The series ∑(from n = 2 to infinity) 1/n^(1/n^a) converges only when "a" is greater than 1.

To determine the values of "a" for which the series ∑(from n = 2 to infinity) 1/n^(1/n^a) converges, apply the limit comparison test with the harmonic series.

Let's consider the harmonic series ∑(from n = 1 to infinity) 1/n, which is a well-known divergent series.

compare the given series with the harmonic series by taking the limit as n approaches infinity of the ratio of the nth term of the given series to the nth term of the harmonic series:

lim(n→∞) [1/n^(1/n^a)] / [1/n]

To simplify the expression, rewrite the ratio as follows:

lim(n→∞) n / n^(1/n^a)

Now, let's consider the exponent in the denominator, which is 1/n^a. As n approaches infinity, the exponent approaches zero since 1/n^a will become very large and tend to infinity.

Therefore, we have:

lim(n→∞) n / n^(1/n^a) = lim(n→∞) n / n^0 = lim(n→∞) n / 1 = ∞

Since the limit of the ratio is infinity, it means that the given series behaves similarly to the harmonic series. Therefore, if the harmonic series diverges, the given series will also diverge.

The harmonic series diverges when the exponent "a" is equal to or less than 1.

Hence, the series ∑(from n = 2 to infinity) 1/n^(1/n^a) converges only when "a" is greater than 1.

Learn more about harmonic series here:

https://brainly.com/question/32338941

#SPJ11

The lowest point should be used for measurement. To acquire a correct reading, students must read the meniscus at eye level. In order to read the meniscus at eye level, students need first set the graduated cylinder on the table and then stoop.

A measuring cylinder, often referred to as a graded cylinder, a cylinder measuring cylinder, or a mixing cylinder, is a piece of lab apparatus used to gauge the quantity of fluids, chemicals, or solutions used during a typical lab session. Compared to common laboratory flasks and beakers, graduated cylinders offer higher precision and accuracy. The graduated cylinder is a scientific tool that employs the metric system rather than the American standard system, so measurements are made in millilitres rather than ounces. The volume of an object or quantity of liquid is measured using a graduated cylinder, a common piece of laboratory glassware. It is a glass cylinder with side markings resembling those on a measuring cup, as its name suggests.

To know more about graduated cylinder here

https://brainly.com/question/24869562

#SPJ4

The equation for the horizontal asymptote is y = 0.

To find the equation for any horizontal asymptotes for the function f(x) = (8 - 9x + x²) / (3 + 8x × 7x²)

we need to examine the behavior of the function as x approaches positive infinity and negative infinity.

As x approaches positive or negative infinity, the highest power term in the numerator and the highest power term in the denominator will dominate the function.

Looking at the highest power terms in the numerator and denominator:

Numerator: x²

Denominator: 56x³

The exponent of x in the denominator is greater than the exponent in the numerator.

Therefore, as x approaches positive or negative infinity, the term (8 - 9x + x²) in the numerator becomes negligible compared to the term (3 + 8x× 7x²) in the denominator.

The function behaves like (x²)/(56x³) as x approaches infinity.

Simplifying (x²)/(56x³),

= 1/(56x).

As x approaches positive or negative infinity, 1/(56x) approaches 0.

y= 1/(56x).

As x approaches 0

y=0

Therefore, the equation of the horizontal asymptote is y = 0.

so, there is a horizontal asymptote at y = 0.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ4

Alex could place point H very close to one of the existing points (E, F, or G) such that the sum of lengths of EH, HF, and FG, should not exceed 22 - 15.21 = 6.79 units.

We have,

Given points:

E (3, 5)

F (6, 5)

G (9, 1)

We'll calculate the distances between these points to determine the perimeter of the fenced area:

\(Distance~ EF: \sqr((x_F - x_E)^2 + (y_F - y_E)^2)\\Distance ~FG: \sqrt((x_G - x_F)^2 + (y_G - y_F)^2)\\Distance ~GE: \sqrt((x_E - x_G)^2 + (y_E - y_G)^2)\)

Calculate the distances:

Distance EF: √((6 - 3)² + (5 - 5)²) = 3 units

Distance FG: √((9 - 6)² + (1 - 5)²) = √(9 + 16) = 5 units

Distance GE: √((3 - 9)² + (5 - 1)²) = √(36 + 16) = 2√13 units

Now, the total perimeter of the current fenced area is:

Perimeter = EF + FG + GE = 3 + 5 + 2√13 ≈ 8 + 7.21 ≈ 15.21 units.

Now, since you have 22 units of fencing available, the maximum additional length for the fourth side, which is the sum of lengths of EH, HF, and FG, should not exceed 22 - 15.21 = 6.79 units.

Thus,

Alex could place point H very close to one of the existing points (E, F, or G) such that the sum of lengths of EH, HF, and FG, should not exceed 22 - 15.21 = 6.79 units.

Learn more about the distance of a line here:

https://brainly.com/question/14645718

#SPJ12

Alex has used 8 units of fencing to enclose his plot from E to F to G, leaving him with 14 units to return from G to the final corner point H. Any point H must be within 14 units of G. H could be (9, -13) which is 14 units below G.

Alex can use the distance formula to calculate the distance between the points and see how much fencing he has already used. The distance between points E and F is 3 units (6 - 3 = 3). The distance between points F and G is 5 units (Square root of ((6 - 9)^2 + (5 - 1)^2)). This equates to 8 units of fencing already used. Therefore, Alex has 14 units of fencing left (22 - 8 = 14). To not require any additional fencing, any point H he chooses must be within 14 units of point G. Corner point H could be (9, -13), for example, which is exactly 14 units below G, so it would work perfectly. Alex cannot, however, return to point E (3, 5), because that's farther than 14 units.

https://brainly.com/question/11231122

#SPJ12

Answer: 9 cm² : 25 cm²

Step-by-step explanation:

    The area of a square can be found with x² where x is the length of one side.

    x² : x²

    3² : 5²

    9 : 25

           9 cm² : 25 cm²

The original equation and the orthogonal equation are the same, we can conclude that the family of conics with the same focus x^2/a^2+C + y^2/b^2+C = 1 is its own orthogonal family of curves.

To show that the family of conics with the same focus x^2/a^2+C + y^2/b^2+C = 1 is its own orthogonal family of curves, we need to take the derivative of the equation and set it equal to -1/b^2, the slope of the orthogonal line.

First, we take the derivative of the equation with respect to x:

2x/a^2 = -2y/b^2 * dy/dx

Simplifying, we get:

dy/dx = -b^2*x/a^2*y

Now, we set this equal to -1/b^2:

-b^2*x/a^2*y = -1/b^2

Cross-multiplying and simplifying, we get:

x/a^2*y = 1/b^2

Finally, we can rearrange this equation to get:

y = b^2*x/a^2

This equation represents the orthogonal family of curves to the original family of conics. Since the original equation and the orthogonal equation are the same, we can conclude that the family of conics with the same focus x^2/a^2+C + y^2/b^2+C = 1 is its own orthogonal family of curves.

Learn about Conics

brainly.com/question/29767685

#SPJ11

A2 + 4a√b + 4b

____________

A2-4b

 By rationalizing the Denominator of \(\frac{a+\sqrt{4b} }{a-\sqrt{4b}}\)  we get \(\frac{a^{2} +2a\sqrt{4b} + 4b}{a^{2} -4b}\)

A radical or imaginary number can be removed from the denominator of an algebraic fraction by a procedure known as o learn more about . That is, eliminate the radicals from a fraction to leave only a rational integer in the denominator.

To rationalise multiply numerator and denominator with \(a+\sqrt{4b}\) where a is an integer and b is a prime number.

we get  \(\frac{a+\sqrt{4b}}{a-\sqrt{4b}} * \frac{a+\sqrt{4b}}{a+\sqrt{4b}}\)

\(= \frac{(a+\sqrt{4b})^{2} }{a^{2} -(\sqrt{4b})^{2} }\)

by solving we get \(=\frac{a^{2} +2a\sqrt{4b} + 4b}{a^{2} -4b}\)

By rationalizing the Denominator of \(\frac{a+\sqrt{4b} }{a-\sqrt{4b}}\)  we get \(\frac{a^{2} +2a\sqrt{4b} + 4b}{a^{2} -4b}\)

To learn more about complex numbers

https://brainly.com/question/5564133

Answer:

See below

Step-by-step explanation:

Helping in Jesus' name.

Answer:

Solutions below

Step-by-step explanation:

This question requires the concept of substitution and order of operations (Bracket > Multiplication / Division > Addition / Subtraction).

Given x = - 2, y = - 3 and z = 4,

a) 2 x + 3 y = 2 (- 2) + 3 (- 3) = - 4 + (- 9) = - 4 - 9

= - 13

b) 2(y - z) = 2 (- 3 - 4) = 2 (- 7) = - 14

c)

\( \frac{6x}{2y} \\ = \frac{6( - 2)}{2( - 3)} \\ = \frac{ - 12}{ - 6} \\ = 2\)

Comparison or relational operations, such as <, >, =, allow for comparing numbers. They determine if a number is less than, greater than, equal to, or not equal to another number, enabling decision-making and comparisons within arithmetic and programming operations.

When comparing numbers, you can use various relational operators to determine the relationship between them. Here are the commonly used comparison operators:

Less than (<): This operator compares two numbers and returns true if the first number is smaller than the second number. For example, 5 < 10 is true.

Greater than (>): This operator compares two numbers and returns true if the first number is larger than the second number. For example, 10 > 5 is true.

Less than or equal to (<=): This operator compares two numbers and returns true if the first number is smaller than or equal to the second number. For example, 5 <= 5 is true.

Greater than or equal to (>=): This operator compares two numbers and returns true if the first number is larger than or equal to the second number. For example, 10 >= 10 is true.

Equal to (==): This operator compares two numbers and returns true if they are equal. For example, 5 == 5 is true.

Not equal to (!=): This operator compares two numbers and returns true if they are not equal. For example, 5 != 10 is true.

These comparison operators allow you to compare numbers and make decisions based on their relationships within arithmetic or programming operations.

To know more about comparison operators:

https://brainly.com/question/29840768

#SPJ4

Answer:

Step-by-step explanation:

-7 + 47=40

Answer:

-7 + n = 40

Step-by-step explanation:

Answer:

3*3+5+6

Step-by-step explanation:

i hope its correct

The "good enough" method of decision-making in mathematics is also known as the "approximation" or "heuristic" approach.

In mathematics, the "good enough" method of decision-making refers to the practice of using approximations or heuristic methods to arrive at a solution that is deemed satisfactory or acceptable. This approach acknowledges that obtaining an exact or precise solution may be challenging or time-consuming, especially in complex mathematical problems.

When faced with mathematical calculations or problem-solving tasks, individuals often employ approximation techniques or heuristics to arrive at a reasonable solution without going through the rigorous process of finding an exact answer. These approximation methods involve simplifications, estimations, or rounding of numbers to facilitate the decision-making process and achieve an outcome that is considered "good enough" for the intended purpose.

By using approximation methods, mathematicians and individuals in various fields can save time and effort while still obtaining reasonably accurate results. However, it is important to note that the "good enough" approach may introduce a margin of error, and the level of precision or accuracy required should be carefully considered based on the specific context or application.

Learn more about approximation here:

https://brainly.com/question/29669607

#SPJ11

Answer:

rearing the numbers and that is it

In this scenario, the market demand function has shifted upward to q=2,000−50p. This indicates that at each price level, the quantity demanded by consumers has increased compared to the previous demand function.

The original market demand function represents the relationship between the price (p) and the quantity demanded (q) in the market. When the demand function shifts upward to q=2,000−50p, it means that for any given price, the quantity demanded is higher compared to the previous demand function.

This upward shift can occur due to various factors. For example, an increase in consumer income levels, improvements in the overall economy, or changes in consumer preferences might lead to an increased willingness to purchase the product at higher prices.

The shift in the demand function has implications for market dynamics. It suggests that producers might be able to charge higher prices while still maintaining a sufficient level of demand. Additionally, it may influence production and pricing decisions for firms operating in the market, as they respond to the changes in consumer demand and adjust their strategies accordingly.

Learn more about  demand function here: brainly.com/question/28708589

#SPJ11

In order to have an average speed of 6 miles per hour over the entirety of the trip, the man would need to travel 15 miles in the next 2 1/2 hours. This means that he would need to travel at a speed of 6 miles per hour for the remainder of the trip.

Variance and Standard deviation can tell us the variation of data within a group of samples.

What is a variance?

Variance is a term used in probability theory and statistics to measure how far a group of numbers are spread out from their mean value.

In the context of hypothesis testing, the variance of two groups of data is compared to see if they are statistically significant.

A smaller variance indicates that the data points are closer together, whereas a larger variance indicates that the data points are farther apart.

What is Standard deviation?

The standard deviation is the square root of the variance, and it is used to express the average distance that data points deviate from the mean in a group of samples.

It is used in statistics to measure how tightly a set of data is clustered around its mean.

What is Mean?

The average value of a group of numbers is referred to as the mean.

It is calculated by adding all of the numbers together and then dividing by the total number of numbers.

What is T-value?

The t-value is used to test the null hypothesis, which states that there is no significant difference between two groups of data.

The t-value is calculated by subtracting the mean of one group from the mean of the other group and then dividing by the standard deviation of the two groups combined.

To know more about statistics  visit:

https://brainly.com/question/31538429

#SPJ11

Answer:

29.

Step-by-step explanation:

The correct option to the statements "experimental study is the only possible design for some research questions. 2nd statement: an advantage of experimental study is that it reduces generalizability" is:

c. 1st statement is true, while the 2nd statement is false.

An experimental study is a type of research that involves manipulating a variable and measuring the effect of this manipulation on another variable. The goal of an experimental study is to establish a cause-and-effect relationship between variables. In experimental research, the independent variable is the variable that is manipulated by the researcher, while the dependent variable is the variable that is affected by the manipulation and is measured to determine the effect of the independent variable.

Generalizability refers to the extent to which research findings can be applied to a broader population or context beyond the sample or context in which the research was conducted. The greater the generalizability of a study's findings, the more widely applicable they are to other populations or contexts.

In conclusion, the first statement, "Experimental study is the only possible design for some research questions," is true, while the second statement, "An advantage of experimental study is that it reduces generalizability," is false. Rather than reducing generalizability, experimental studies are designed to establish causal relationships, and the findings from these studies can often be generalized to other populations or contexts.

To know more about generalizability, visit the link : https://brainly.com/question/30438587

#SPJ11

Answer:

B

Step-by-step explanation:

50 +125 = 175 student tickets sold

175x4=$700 from student tickets

50x6=$300 from adult tickets

700+300 = $1000 total made

Answer:

(Part A) The formula for finding the area of a circle is πr². (Part B) The radius of that circle would be 5.27 m. 10.54 m cut in half would be 5.27 m. (Part C) The area of this circle would be approx. 87.21 m². Using the formula from Part A, first square 5.27. That will equal 27.7729. Now, multiply that by 3.14 (I used that value for π) to get 87.206906 m². However, we have to round to the nearest hundredth, so 87.21 m² is the answer.

Answer:

The area y>x will belong to the trapezoidal area. Thus, the area of the trapezoid = 0.5*(4+1)*3 = 15/2. Finally, the required probability = trapezoid ...

Step-by-step explanation:

There is insufficient evidence to suggest that there are differences in the frequency of blood types by location.

Yes, there may be differences in the frequency of blood types in different locations (states). to test this hypothesis.

Null hypothesis:

There is no difference in blood type frequency by location (state).

Alternative hypothesis:

There are differences in the frequency of blood types depending on the location (state).

The degrees of freedom for this test are (r - 1)(c - 1). where r = number of rows and c = the number of columns. In this case, we have 4 rows and 3 columns, so  (4 - 1)(3 - 1) = 6 degrees of freedom.

Using a chi-square table or calculator, you'll discover that the basic value for a chi-square dispersion with 6 degrees of freedom and an importance level of 0.05 is 12.592.

 The chi-square value calculated from the given data is 5.65.

The p-value can be decided to employ a chi-square dispersion table or a calculator with 6 degrees of flexibility and a chi-square value of 5.65.

The p-value is the likelihood of obtaining a chi-square value that's more extreme than or greater than the computed value, given the invalid theory is true.

Employing a chi-square table or calculator, we are able to discover that for a chi-square value of 5.65 and 6 degrees of freedom, the p-value is roughly 0.578.

The calculated chi-square esteem of 5.65 is less than the basic value of 12.592 and the p-value of 0.578 is more prominent than the centrality level of 0.05, so the invalid theory isn't rejected.

 Therefore, there is insufficient evidence to suggest that there are differences in the frequency of blood types by location .

learn more about Alternative hypothesis

brainly.com/question/27335001

#SPJ4