Which statement best describes the functions represented here?

A.only function p is nonlinear
B. Neither function is nonlinear
C.only function q is nonlinear
D.both functions are nonlinear

Hi there, here's your answer:

Given the question:

[tex](5^{-4})^{2}[/tex]

We know that a number [tex]x[/tex] raised to the power of a negative integer [tex]-y[/tex] is evaluates as [tex]\frac{1}{x^{y} }[/tex]

Hence, on evaluating this expression we get:

[tex](\frac{1}{5^{4} })^{2}[/tex] = [tex](\frac{1}{625} )^2 = \frac{1}{390625}[/tex]

Hope it helps! Please mark as Brainliest!

Answer:

Step-by-step explanation:

For part a:

Mean: Use the AVERAGE function to find the mean of the "Number" column.

Median: Use the MEDIAN function to find the median of the "Number" column.

Mode: There is no built-in function to find the mode in Excel, but you can use a combination of the IF, COUNTIF, and MAX functions to find the most frequently occurring value.

Maximum: Use the MAX function to find the maximum value in the "Number" column.

Minimum: Use the MIN function to find the minimum value in the "Number" column.

For part b:

Mean: Use the AVERAGE function to find the mean of the "Percent" column.

Median: Use the MEDIAN function to find the median of the "Percent" column.

Mode: There is no built-in function to find the mode in Excel, but you can use a combination of the IF, COUNTIF, and MAX functions to find the most frequently occurring value.

Maximum: Use the MAX function to find the maximum value in the "Percent" column.

Minimum: Use the MIN function to find the minimum value in the "Percent" column.

For part c:

The statistics on children whose parents do not have secure employment provide important insights into the state of the economy. In this case, the mean and median of the number of children in each state seem to be around 450,000. The mode cannot be determined since there are no repeated values in the "Number" column. The maximum number of children is 678,000 in Ohio, while the minimum number is 141,000 in Iowa.

Comparing the states, Indiana has a slightly higher mean and median percent of children whose parents do not have secure employment at 27%, compared to the other surrounding states which range from 20% to 31%. However, there is no clear state with the best or worst data as the range of the percent values is not too wide.

In terms of comparison, the number of children may provide a more comprehensive understanding of the extent of the problem, as it gives a clearer picture of the actual number of children affected. However, the percentage provides a more relative comparison between the states, allowing for easier comparison and a clearer understanding of the proportion of children affected in each state.

Answer:

5/6

Step-by-step explanation:

Based on the information provided, the passage that explains the citation is "The outcome...is situational irony..." (option A).

When you cite information from other sources or authors, there are three elements that should be included:

Learn more about citation in https://brainly.com/question/30066031

#SPJ1

The sequence will be aₙ=$1250-118ⁿ⁻¹ where n= place at which a bowler finished.

What exactly is a sequence?

A sequence is a collection of numbers that follows pattern. Olivia, for example, has been offered a position with a beginning monthly pay of $1000 and a yearly raise of $500. To figure out her monthly pay for the first three years? The prices will be $1000, $1500, and $2000. Note that Olivia's income over a number of years creates a sequence as they follow a pattern where the numbers increase by $500 each time.

Now,

given award money for 1, 2, 3 places is given as $1250, $1132 and $1014

that means for the sequence, first term is 1250 and difference between the next terms will be 118 (less)

So, the sequence will be aₙ=$1250-118ⁿ⁻¹

where

n=place at which a bowler is placed.

Hence,

           The sequence will be aₙ=$1250-118ⁿ⁻¹.

To know more about sequence visit the link

https://brainly.com/question/30262438?referrer=searchResults

#SPJ1

P(B A)=P(B)

Step-by-step explanation:Given situation that two events occurred event A and event B event A has already occurredtherefore, there is no relationship between them event A and event B since, the probability of B does not depend on any activity of A therefore, P(B A)=P(B)

The probability that event B occurs, given that event A has already occurred is P(A) = P(A ∩ B) / P(B | A).

An event is the outcome of a chance experiment or a collection of similar outcomes.

As the sample space is a collection of all potential outcomes of a random experiment, it might be defined as every subset of that space.

When the event B is dependent on event A,

P(A ∩ B) ≠ P(A) x P(B)

When the event A comes before event B. So, the probability of B given A:

P(B | A) = P(A ∩ B) / P(A)

P(A) = P(A ∩ B) / P(B | A)

Learn more about Event here:

https://brainly.com/question/1673286

#SPJ5

The domain of f(x) is equal to the range of inverse function g(x).

What are inverse functions?

A function from a set X to a set Y in mathematics assigns each element of X the exact same number of elements from Y. A function's inverse function reverses the action of a function or f. If and only if the function is bijective, the inverse of f is true.

Given two functions f(x) and g(x).

It is also said that g(x) is the inverse of f(x).

One of the properties of inverse functions is that only one-to-one functions are inverse. If g is equal to f's inverse, then f is equal to g's inverse.

Both f and g are one-to-one functions if they are the inverses of one another.

f and g are inverses of each other if (fog)(x) = x, x ∈ the domain of g.

The range of g equals the domain of f, and the domain of f equals the range of g.

Therefore the domain of f(x) is equal to the range of inverse function g(x).

To learn more about inverse functions, follow the link.

https://brainly.com/question/3831584

#SPJ1

The label covers approximately 4,800 square centimetres of the wheel of cheese.

What is the lateral surface area of a cylinder?

The lateral surface area of a cylinder can be found using the formula:

L = 2πrh

where L is the lateral surface area, r is the radius of the cylinder, and h is the height of the cylinder.

In this case, we need to find the lateral surface area of the wheel of cheese, so we can use the given radius of 30 centimetres and height of 20 centimeters to calculate:

L = 2 x (22/7) x 30 x 20

L = 4,800 square centimetres

This is the total surface area of the cylindrical-shaped wheel of cheese. However, the label does not cover the circular top and bottom, so we need to subtract their areas from the total surface area to find the area covered by the label.

The area of a circle can be found using the formula:

A = πr²

where A is the area of the circle, and r is the radius of the circle.

In this case, we have two circles (top and bottom), so the total area of the circles that are not covered by the label is:

2 x (22/7) x 30²

= 56,400/7 square centimeters

Subtracting this from the total surface area, we get:

4,800 - 56,400/7

= 33,600/7 square centimeters

= 4,800 square centimeters (rounded to the nearest whole number)

Therefore, the label covers approximately 4,800 square centimeters of the wheel of cheese.

To learn more about the lateral surface area of a cylinder, visit:

https://brainly.com/question/27440983

#SPJ1

The solution is, the equation is y=2/3x.

In math, a graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The points on the graph often represent the relationship between two or more things.

A diagram representing a system of connections or interrelations among two or more things by a number of distinctive dots, lines, bars, etc.

here, we have,

so the line is in slope intercept form

y=mx+b, m=slope and b=y intercept

we know the slope so just solve for b

y=2/3x+b

subsitute

3 for x and 2 for y

2=2/3(3)+b

2=2+b

subtract 2 from both sdies

0=b

so the equaiton is

y=2/3x+0 or just simply

y=2/3x

here is the graph

just input values for x and get y values exg

x=3 y=2

x=6 y=4

x=0 y=0

x=-3 y=-2

To learn more about diagram refer to:

brainly.com/question/24581814

#SPJ1

Carrie is slicing sticker sheets to fit four present bags. There will be an equal quantity of stickers in each bag.

To learn more about fewer number refer to:

https://brainly.com/question/2126041

#SPJ1

Answer:

57

Step-by-step explanation:

To find the ratio of the area of Alaska to the area of Rhode Island, we need to divide the area of Alaska by the area of Rhode Island.

The area of Rhode Island is 1000 square miles and the area of Alaska is 5.7 x 10^5 square miles.

So, the ratio is: 5.7 x 10^5 / 1000 = 57

Therefore, Alaska's area is 57 times the area of Rhode Island.

5.7 x 10^5 divided by 1000 = 57.

a) The fraction of the stickers that Kate gave to her 6 friends was 1/2.

b) The fraction of Kate's stickers that each friend received from the 1/2 of stickers was 1/12.

The fraction is the portion or part of a whole.

Fractions can be proper, improper, and complex fractions, depending on the relative value of the numerator and the denominator.

The total number of stickers that Kate possesses = 1/1

The fraction Kate kept for herself = 2/5

The remaining portion of Kate's stickers = 3/5 (1 - 2/5)

The fraction Kate gave to her 6 friends to share equally = 5/6 of 3/5 = 1/2

The fraction of Kate's stickers that each friend received = 1/2 ÷ 6 = 1/12

Learn more about fractions at https://brainly.com/question/11562149.

#SPJ1

Conclusions drawn from a sample of 50 monarch butterflies tagged from one location in California may not be entirely true for all monarch butterflies.

A sample is a subset of data drawn from a larger population by a researcher using a predetermined selection process. These components are referred to as sample points, sampling units, or observations.

The sample size is relatively small compared to the entire population of monarch butterflies. Additionally, the sample is only taken from one location, so the results may not be representative of the entire migration pattern.

The monarch butterfly is known to have a wide geographic range, migrating across North America, and covering a distance of thousands of miles during their annual migration. Thus, to make conclusions that apply to the entire population of monarch butterflies, a more comprehensive and representative sample size from various locations along their migration route would be needed.

In scientific research, it is essential to have a large and representative sample size to minimize the margin of error and to obtain accurate results. Therefore, a larger sample size and a more diverse geographical representation would provide a better understanding of the migration patterns of monarch butterflies.

Learn more about the monarch butterflies here:

https://brainly.com/question/26229711

#SPJ9

Answer:

D

Step-by-step explanation:

3x² - 10x - 8

consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 3 × - 8 = - 24 and sum = - 10

the factors are - 12 and + 2

use these factors to split the x- term

3x² - 12x + 2x - 8 ( factor the first/second and third/fourth terms )

= 3x(x - 4) + 2(x - 4) ← factor out (x - 4) from each term

= (x - 4)(3x + 2)

A transformation rule, if applied to a polygon on a coordinate grid, which does not preserve congruence include the following: C. (x, y) → (3x, 3y).

In Geometry, dilation simply refers to a type of transformation which changes the size of a geometric figure and the location of its points based on the scale factor, but not its shape.

Generally speaking, a dilation is not a rigid transformation because it can preserve angle measure, orientation, perpendicular lines, betweenness of points, parallel lines, and collinearity in any geometric figure.

In conclusion, we can reasonably infer and logically deduce that dilations does not preserve congruence.

Read more on dilation here: https://brainly.com/question/3426596

#SPJ1

The equation will be;

c = 20 + 4x

Linear equations are equations of the first order. When a linear equation has a homogeneous variable of degree 1 (i.e. only one variable), then it is known as a linear equation in one variable. A linear equation can also have more than one variable. If the linear equation has two variables, then it is called linear equations in two variables and so on. An equation is a mathematical statement, which has an equal sign (=) between the algebraic expression. Linear equations are the equations of degree 1. It is the equation for the straight line.

A linear equation that will find the cost c to have a name containing x letters will be;

c = $20 + 4x

where c = cost

$20 = basic fee

x = number of letters

Learn more about linear equations here: https://brainly.com/question/2030026

#SPJ1

When we are given the value of the explanatory variable, we can use the least-squares regression line to predict the value of the outcome variable.

The least square method is the process of finding the best-fitting curve or line of best fit for a set of data points by reducing the sum of the squares of the offsets (residual part) of the points from the curve. During the process of finding the relation between two variables, the trend of outcomes is estimated quantitatively. This process is termed as regression analysis. The method of curve fitting is an approach to regression analysis. This method of fitting equations that approximates the curves to give raw data is the least squares.

It is quite obvious that the fitting of curves for a particular data set is not always unique. Thus, it is required to find a curve having a minimal deviation from all the measured data points. This is known as the best-fitting curve and is found by using the least-squares method.

When we are given the value of the explanatory variable, we can use the least-squares regression line to predict the value of the outcome variable.

learn more about the least square method,

https://brainly.com/question/13084720

#SPJ4

For the linear equation 3x + y = 9 we have:

Here we want to find the two intercepts for the linear equation:

3x + y = 9

First, the x-intercept is the point that we get when we evaluate on y = 0.

3x + 0 = 9

3x = 9

x = 9/3

x = 3

Then we get: x-intercept (3, 0)

And for the y-intercept we need to evaluate in x = 0.

3*0 + y = 9

y = 9

Then the y-intercept is (0, 9).

Learn more about linear equations at:

https://brainly.com/question/1884491

#SPJ1

Answer:

76

Step-by-step explanation:

(16x3)+28

Its 16x3 because there's 3 half hours in 1.5hrs  

Answer:

6.25 x h = 50.000

Step-by-step explanation:

Answer:

8 headbands.

Step-by-step explanation:

Winnie needs to sell AT LEAST 8 headbands. 50 divided by 6.25 is 8. Remember that the phrase "at least" is represented by a greater-than-or-equal-to symbol.

Answer:

N?A

Step-by-step explanation:

Answer: The correct system of linear inequalities that represents this situation is:

X + Y ≤ 32 (to represent the maximum number of hours you can work)

7X + 8Y ≥ 256 (to represent the minimum amount of money you need to earn)

X ≥ 0, Y ≥ 0 (to represent that you can only work a non-negative number of hours at each job)

Where X represents the number of hours you spend tutoring and Y represents the number of hours you spend babysitting. The first inequality represents the maximum number of hours you can work, and the second inequality represents the minimum amount of money you need to earn. The last two inequalities represent that you can only work a non-negative number of hours at each job.

Step-by-step explanation:

As per the question Sales revenue is $198,000 (from the sale of inventory)

Sales revenue, which is sometimes referred to as revenue from sales or just sales, is the entire sum of money that a business makes from the selling of goods or services to clients. It is one of the main revenue streams for the majority of businesses and is frequently used as a key performance indicator (KPI) to gauge a business's success.

Calculating sales income involves multiplying the quantity sold by the cost per unit. As an illustration, if a business sells 1,000 pieces of a product at $100 each, its sales revenue would be $100,000 ($100 x 1,000).

Sales revenue is a crucial indicator for businesses to monitor since it indicates how much demand there is for a company's goods or services.

According to question:

Cost of goods sold = $110,000 (the cost of the inventory that was sold)

Gross margin = Sales revenue - Cost of goods sold = $198,000 - $110,000 = $88,000

Expenses = Cost of goods sold + Operating expenses = $110,000 + $36,000 = $146,000

Operating income = Gross margin - Operating expenses = $88,000 - $36,000 = $52,000

Non-Operating Items = Gain on sale of land = $80,000 (the difference between the selling price and the original cost of the land)

Net income = Operating income + Non-Operating Items = $52,000 + $80,000 = $132,000

To know more about Sales revenue visit:

https://brainly.com/question/28580932

#SPJ1

Answer:

Let's call the number of students at the college "x". Then, the number of faculty/staff is 3 times that number, or 3x. The total number of people at the college is the sum of the students and faculty/staff, which is x + 3x = 4x.

According to the problem, the ratio of faculty/staff to students is 3 to 13, so we can write an equation:

3x / x = 3 / 13

To find the number of students, we can solve for x:

4x = 4000

x = 1000

So, there are 1000 students at the college.

Answer: The composite function (g f)(x) is found by first applying the function f to x and then applying the function g to the result. In other words, (g f)(x) = g(f(x)).

So, for the given functions g(x) = x - 5 and f(x) = -x - 1, the composite function is:

(g f)(x) = g(-x - 1) = (-x - 1) - 5 = -x - 6

Evaluating the composite function at x = 7, we get:

(g f)(7) = -7 - 6 = -13

Step-by-step explanation:

Answer:

Step-by-step explanation:

To solve the equation (3x + 20)^2 = 125 using the square root method, we start by taking the square root of both sides:

√[(3x + 20)^2] = √125

3x + 20 = ± 5

Next, we subtract 20 from both sides:

3x = -20 ± 5

Finally, we divide both sides by 3:

x = -8 or x = 3/3

So, the two solutions to the equation (3x + 20)^2 = 125 are x = -8 and x = 1. These solutions are in radical form and are already simplified.

To get an 85 average, Laurence needs a score of 25 on his upcoming biology exam.

We can use the formula for the average (or mean) of a series of variables to determine Laurence's next biology test score in order to achieve an average of 85:

Average = (sum of values) / (number of values)

The total of Laurence's marks on the first four biology exams can be calculated using the following formula:

Sum of scores = 87 + 80 + 75 + 85

= 327

We need the total of all five scores to be 85 x 5 = 425 in order to obtain an average of 85 for five tests.

Therefore, We need the total of all five scores to be 85 x 5 = 425 in order to obtain an average of 85 for five tests.

By deducting Laurence's first four scores from the desired total of all five scores, and dividing the result by one (the number of scores left), we can get the score that Laurence has to achieve in his next biology exam:

Next score = (sum of all five scores) - (sum of first four scores)

= (85 x 5) - 327

= 25

Therefore, To get an 85 average, Laurence needs a score of 25 on his upcoming biology exam.

To learn more about average, visit the link below:

https://brainly.com/question/15902611

#SPJ4

A graph of the triangle after a 90 degrees counterclockwise rotation about the origin is shown in the image attached below.

In Geometry, the rotation of a point 90° about the center (origin) in a counterclockwise (anticlockwise) direction would produce a point that has these coordinates (-y, x).

By applying a rotation of 90° counterclockwise to the vertices for D, the coordinates of the vertices of the image point D' are as follows:

(x, y)                               →            (-y, x)

Ordered pair A  = (-3, 4) → Ordered pair A' = (-4, -3)

Ordered pair B  = (-5, -1) → Ordered pair B' = (1, -5).

Ordered pair C  = (-1, 2) → Ordered pair C' = (-2, -1).

In this exercise, we would use an online graphing calculator to plot the vertices of triangle A'B'C' as shown in the graph attached below.

Read more on rotation here: brainly.com/question/28854313

#SPJ1

The angle AED of arc AD of the circle is calculated to be equal to 8100/πr

We shall use the formula:

arc length = (arc angle/360) × 2 × π × radius

where arc angle is measured in degrees and radius is the distance from the center of the circle to the point on the circle where the arc begins.

If AD = 45 and r the radius, we evaluate the arc angle m ∠AED as follows:

(arc angle/360°) × 2 × π × r

by cross multiplication;

arc angle AED = (360 × 45)/2πr

2 can divide 360° to give;

arc angle AED = (180 × 45)/πr

arc angle AED = 8100/πr

Therefore, the angle AED of arc AD of the circle is calculated to be equal to 8100/πr

Know more about arc here:https://brainly.com/question/2005046

#SPJ1