A shoe store is having a sale. All running shoes are 30% off and all basketball shoes are 20% off. Supposed you buy 2 pairs of running shoes that originally cost $50 each and 1 pair of basketball shoes that originally cost $75. What percent of the total have you saved? Round to the nearest whole percent.

The function that is even is defined as f(x) = f(-x) for all x in the domain of f. In other words, if a function is even, its graph is symmetric with respect to the y-axis.

Out of the given options, the only function that satisfies this property is f(x) = 2cos(x). To see why, let's substitute -x for x in this function:

f(-x) = 2cos(-x)

Using the identity cos(-x) = cos(x), we get:

f(-x) = 2cos(x)

This is the same as the original function, so f(x) = 2cos(x) is even.

The other functions, f(x) = 2cot(x), f(x) = 2sin(x), and f(x) = 2tan(x), are not even because they do not satisfy the condition f(x) = f(-x). For example, let's try f(x) = 2sin(x):

f(-x) = 2sin(-x)

Using the identity sin(-x) = -sin(x), we get:

f(-x) = -2sin(x)

This is not the same as the original function, so f(x) = 2sin(x) is not even.

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The context that represents linear growth is:

A sunflower was growing at a rate of 2.5 inches per week.

A constant rate of change in a quantity over time is referred to as linear growth. The sunflower in this instance is expanding linearly at a pace of 2.5 inches each week, which is constant.

The other contexts listed do not represent linear growth:

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Answer:ns

nose

Step-by-step explanation:Nose

Francis

Answer:

√98=√2×7×7=7√2

√16b^5=√4×4×b×b×b×b×b=4b²√b

√26x2=√13×2×2=2√13

hope it helps.

If you want to halve the recipe, you will need 32 ounces of ground beef. We can find it by multiplying.

To determine the amount of ground beef needed when halving the recipe, we need to convert pounds to ounces. There are 16 ounces in 1 pound.

Given that the original recipe calls for 4 pounds of ground beef, we can calculate the amount needed when halving the recipe by dividing it by 2.

Amount needed when halving = 4 pounds / 2 = 2 pounds.

To convert 2 pounds to ounces, we multiply it by 16:

2 pounds * 16 ounces/pound = 32 ounces.

Therefore, when you halve the recipe, you will need 32 ounces of ground beef.

In conclusion, to make half of the original recipe that calls for 4 pounds of ground beef, you will need 32 ounces of ground beef.

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Answer:

\(y = x - 91 + 2 \\ x = - 10 \\ y = - 10 - 91 + 2 \\ y = - 101 + 2 \\ x = - 99\)

The angle between the stick and the base of the box is 77. 9 degrees

To determine the angle between the stick and the base, we have to know the trigonometric identities.

These identities are;

From the information given, we have;

sin A = FB/AB

Given that;

GB = 14.5cm

AB = 18. 6cm

substitute for the length of the sides, we have;

sin A = 14.5/18. 6

Divide the values, we have;

sin A = 0. 7796

Find the inverse sine

A = 77. 9 degrees

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The final result of the expression is -12,173/10,083. First, let's find the sum of 2/9 and -3/7. To add fractions, we need a common denominator. The least common multiple of 9 and 7 is 63.

To simplify the given expression, let's break it down step by step:

The sum of 2/9 and -3/7 is:

(2/9) + (-3/7)

To add these fractions, we need a common denominator, which is the least common multiple (LCM) of 9 and 7, which is 63.

(2/9) + (-3/7) = (2 * 7)/(9 * 7) + (-3 * 9)/(7 * 9)

= 14/63 - 27/63

= (14 - 27)/63

= -13/63

The difference of 3/7 and -13/23 is:

(3/7) - (-13/23)

Again, we need a common denominator, which is the LCM of 7 and 23, which is 161.

(3/7) - (-13/23) = (3 * 23)/(7 * 23) - (-13 * 7)/(23 * 7)

= 69/161 + 91/161

= (69 + 91)/161

= 160/161

Now, we subtract the second result from the first result:

(-13/63) - (160/161)

To subtract fractions, we need a common denominator, which is the LCM of 63 and 161, which is 10,083.

(-13/63) - (160/161) = (-13 * 161)/(63 * 161) - (160 * 63)/(161 * 63)

= -2,093/10,083 - 10,080/10,083

= (-2,093 - 10,080)/10,083

= -12,173/10,083.

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Although the examples referenced are note given, the subject or principle of Quadratic Equations and the Quadratic formula are universal principles and hold true regardless of what examples are used.

Thus, two tings that one can learn about solving quadratic equations by using the Quadratic formula are:

In mathematics, almost every student encounters the quadratic formula, which is a popular method for determining the roots of a quadratic problem. In practice, the quadratic formula may be used to calculate the size of a place, the speed of a moving item, the value of profit earned on a product, and other things.

We've shown that a quadratic equation is a degree 2 equation. A quadratic has the standard form y = ax² + bx + c, where a, b, and c are integers and a cannot be zero. All quadratic equations graph into some form of curve. All quadratics have two solutions, although not all of them are real.

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The division equation that satisfies the required parameters where 13 is the quotient is 1/1/13 = 13

The given parameters are:

A division equation is represented as:

Dividend/Divisor = Quotient

Substitute Quotient = 13

Dividend/Divisor = 13

A unit fraction is represented as 1/n, where n is an integer.

So, the divisor can be represented as 1/13

Dividend/1/13 = 13

Divide both sides by 13

Dividend = 1

So, we have:

1/1/13 = 13

Hence, the division equation is 1/1/13 = 13

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Answer:

The Equation for this is given as

C = $0.99x + $1.50

Where x = number of minutes

C = Cost of the call

If you have $51 to spend , the duration of the call is approximately 50 minutes

Step-by-step explanation:

Step 1

The difference in the cost of the calls is calculated as:

$11.40 - $6.45

= $4.95

The cost for a 5 minute call is calculated as:

$4.95 ÷ 5 = $0.99

Extra charges for the 5 minutes call =

$6.45 - $4.95 = $1.50

The Equation for this is given as

C = $0.99x + $1.50

Where x = number of minutes

C = Cost of the call

If you have $51 to spend, the number of minutes you would get is :

$51 = $0.99x + $1.50

$51 - $1.50 = 0.99x

$49.50 = 0.99x

x= $49.50/0.99

x = 50 minutes

Therefore, If you have $51 to spend , the duration of the call is approximately 50 minutes.

False. if you are given a graph with two shif table lines, the correct answer will always require you to move both lines.

In a graph with two shiftable lines, the correct answer may or may not require moving both lines. It depends on the specific scenario and the desired outcome or conditions that need to be met.

When working with shiftable lines, shifting refers to changing the position of the lines on the graph by adjusting their slope or intercept. The purpose of shifting the lines is often to satisfy certain criteria or align them with specific points or patterns on the graph.

In some cases, achieving the desired outcome may only require shifting one of the lines. This can happen when one line already aligns with the desired points or pattern, and the other line can remain fixed. Moving both lines may not be necessary or could result in an undesired configuration.

However, there are also situations where both lines need to be shifted to achieve the desired result. This can occur when the relationship between the lines or the positioning of the lines relative to the graph requires adjustments to both lines.

Ultimately, the key is to carefully analyze the graph, understand the relationship between the lines, and identify the specific criteria or conditions that need to be met. This analysis will guide the decision of whether one or both lines should be shifted to obtain the correct answer.

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Answer:

43

Step-by-step explanation:

Convenience purchase: Coca-Cola. Shopping purchase: Apple iPhone. Specialty purchase: Rolex. These brand name products correspond to their respective purchase types based on convenience, shopping involvement, and specialty appeal in the consumer marketplace.

Convenience purchases refer to low-involvement purchases made by consumers for everyday items that are readily available and require minimal effort to obtain. These purchases are typically driven by convenience and habit rather than extensive consideration or brand loyalty.

Shopping purchases involve higher involvement and more deliberate decision-making. Consumers invest time and effort in comparing options, seeking the best value or quality, and may consider multiple brands before making a purchase. These purchases often involve durable goods or products that require more consideration.

Specialty purchases are distinct and unique purchases that cater to specific interests, preferences, or hobbies. These purchases are driven by passion, expertise, and a desire for premium or specialized products. Consumers are often willing to invest more in these purchases due to their unique features, quality, or exclusivity.

Three specific brand name products in the consumer marketplace that correspond to these types of purchases are

Convenience Purchase: Coca-Cola (Soft Drink)

Coca-Cola is a widely recognized brand in the beverage industry. It is readily available in various sizes and formats, making it a convenient choice for consumers seeking a refreshing drink on the go.

With its widespread availability and strong brand presence, consumers often make convenience purchases of Coca-Cola without much thought or consideration.

Shopping Purchase: Apple iPhone (Smartphone)

The Apple iPhone is a popular choice for consumers when it comes to shopping purchases. People invest time researching and comparing features, pricing, and user reviews before making a decision.

The shopping process involves considering various smartphone brands and models to ensure they select a product that meets their specific needs and preferences.

Specialty Purchase: Rolex (Luxury Watches)

Rolex is a well-known brand in the luxury watch industry and represents specialty purchases. These watches are associated with high-quality craftsmanship, precision, and exclusivity.

Consumers who are passionate about luxury watches and seek a premium product often consider Rolex due to its reputation, heritage, and unique features. The decision to purchase a Rolex involves a significant investment and is driven by the desire for a prestigious timepiece.

These examples illustrate how different types of purchases align with specific brand name products in the consumer marketplace, ranging from convenience-driven choices to more involved shopping decisions and specialty purchases driven by passion and exclusivity.

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The number of liters it would take to fill this box would be 1 liter .

The number of liters that would go into the box can be found by finding the volume of the box as liters are a measure of volume .

To find the volume of the box, multiply its dimensions :

Volume = width × length × height

Volume = 20 cm × 10 cm × 5 cm

Volume = 1, 000 cm³

Since 1 liter is equal to 1000 cm³, the box can fit 1 liter of liquid .

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V(t) was never zero on the interval [ 0, ln 2] according to the mean-value theorem.

According to the Mean Value Theorem, if a function f is continuous on the closed interval [a, b] and differentiable on the open interval (a, b), then f'(c) must equal the function's average rate of change over [a, b] at some point c on the interval (a, b).

given

Assume that f: [a, b] R and that f has a local maximum or minimum at x0 (a, b). F 0 (x0) = 0 if f is differentiable at x0.

Proof: Let's assume that f has a local maximum at x0 (a, b). When h is small enough, f(x0 + h) f. (x0).

f(x0 + h) f(x0) h 0 if h > 0 else.

Similar to this, f(x0 + h) f(x0) h 0 if h 0.

As a result of fundamental limit qualities, f

We point out that if x0 is either an or b, the prior theorem is invalid. For instance, f has a maximum at 1 but f 0 (x) = 1 for all x [0, 1] if we take the function f: [0, 1] R such that f(x) = x.

V(t) was never zero on the interval [0, ln 2] according to the mean-value theorem.

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The final answer is

Dnf(p0) = ((π−−√/2)^2 cos^2((π−−√/3)(π−−√/2)) + (π−−√/3)^2 cos^2((π−−√/3)(π−−√/2))) / sqrt((π−−√/2)^2 cos^2((π−−√/3)(π−−√/2)) + (π−−√/3)^2 cos^2((π−−√/3)(π−−√/2)))

To find the direction of greatest increase of the function f=sin(xy) at point p0, we need to find the gradient vector of f at p0 and normalize it.
The gradient vector of f is given by:

∇f = (partial derivative of f with respect to x, partial derivative of f with respect to y)
∂f/∂x = y cos(xy)
∂f/∂y = x cos(xy)

Therefore,
∇f = (y cos(xy), x cos(xy))
At point p0, we have x = π−−√/3 and y = π−−√/2, so
∇f(p0) = ((π−−√/2) cos((π−−√/3)(π−−√/2)), (π−−√/3) cos((π−−√/3)(π−−√/2)))

To normalize this vector, we need to divide each component by its magnitude. The magnitude of ∇f(p0) is:
|∇f(p0)| = sqrt((π−−√/2)^2 cos^2((π−−√/3)(π−−√/2)) + (π−−√/3)^2 cos^2((π−−√/3)(π−−√/2)))

So the unit vector in the direction of greatest increase of f at p0 is:
n = ∇f(p0) / |∇f(p0)|

Simplifying the expression for n, we get:
n = ((π−−√/2) cos((π−−√/3)(π−−√/2)), (π−−√/3) cos((π−−√/3)(π−−√/2))) / sqrt((π−−√/2)^2 cos^2((π−−√/3)(π−−√/2)) + (π−−√/3)^2 cos^2((π−−√/3)(π−−√/2)))

To compute the magnitude of the greatest rate of increase, we need to find the directional derivative of f in the direction of n at p0. The directional derivative of f in the direction of a unit vector u at point p is given by:
Duf(p) = ∇f(p) · u

where . denotes the dot product.

So the greatest rate of increase of f at p0 is:
Dnf(p0) = ∇f(p0) · n

Simplifying the expression for Dnf(p0), we get:
Dnf(p0) = ((π−−√/2)^2 cos^2((π−−√/3)(π−−√/2)) + (π−−√/3)^2 cos^2((π−−√/3)(π−−√/2))) / sqrt((π−−√/2)^2 cos^2((π−−√/3)(π−−√/2)) + (π−−√/3)^2 cos^2((π−−√/3)(π−−√/2)))

Therefore, the direction n in which f increases most rapidly at point p0 is:
n = ((π−−√/2) cos((π−−√/3)(π−−√/2)), (π−−√/3) cos((π−−√/3)(π−−√/2))) / sqrt((π−−√/2)^2 cos^2((π−−√/3)(π−−√/2)) + (π−−√/3)^2 cos^2((π−−√/3)(π−−√/2)))

Therefore, the final answer is:

And the magnitude of the greatest rate of increase of f at point p0 is:
Dnf(p0) = ((π−−√/2)^2 cos^2((π−−√/3)(π−−√/2)) + (π−−√/3)^2 cos^2((π−−√/3)(π−−√/2))) / sqrt((π−−√/2)^2 cos^2((π−−√/3)(π−−√/2)) + (π−−√/3)^2 cos^2((π−−√/3)(π−−√/2)))

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Answer:

               \(\dfrac1{126}\)

Step-by-step explanation:

9 all possible digits (1, 2, 3, 3, 4, 5, 6, 7, 8, 9)

4 digits and no digits repeated so

9•8•7•6      - number of all possible codes

4 even digits (2, 4, 6, 8)

4 digits and no digits repeated so

4•3•2•1       - number of all codes wich consists of all even digits

What is the probability that the lock code consists of all even didgit:

\(\dfrac{4\cdot3\cdot2\cdot1}{9\cdot8\cdot7\cdot6}=\dfrac{1\cdot1\cdot1\cdot1}{9\cdot2\cdot7\cdot1}=\dfrac1{126}\)

The future of newspapers as an advertising medium is facing significant challenges due to the rise of digital platforms and changing consumer behavior. The shift towards online advertising and the decline in print readership pose a threat to the newspaper industry's advertising revenue. However, newspapers still offer unique advantages and opportunities that can help them remain relevant in the advertising landscape.

The advent of digital technology has revolutionized the advertising industry, leading to a shift in advertising budgets from traditional mediums like newspapers to online platforms. The ability to target specific audiences, track campaign performance, and utilize interactive and multimedia formats has made digital advertising more appealing to advertisers. As a result, newspapers have experienced a decline in print readership, circulation, and advertising revenue.

However, newspapers still possess certain strengths that can contribute to their future as an advertising medium. Firstly, newspapers often have loyal and engaged readerships, particularly in niche markets or local communities, offering advertisers the opportunity to target specific demographics. Additionally, print newspapers offer a tangible and trustworthy medium for advertisers, as readers often perceive print ads as more credible and less intrusive than digital ads. Newspapers also provide a focused reading experience, allowing for better attention and retention of advertisements.

To adapt to the changing landscape, newspapers are embracing digital transformation by offering online platforms and integrated advertising solutions. They are leveraging their established brands and journalism expertise to provide quality content and engage readers across multiple channels. Additionally, newspapers are exploring new revenue streams, such as partnerships, sponsored content, and targeted advertising options.

In conclusion, the future of newspapers as an advertising medium is challenged by the rise of digital platforms and shifting consumer preferences. However, newspapers can still find their place by leveraging their unique advantages, targeting specific audiences, and embracing digital innovations. By evolving their business models and diversifying revenue streams, newspapers can navigate the changing advertising landscape and remain relevant in the future.

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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.

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The matrices that show the number and type of houses available in Tampa are Matrix with 1 row and 3 columns consisting of elements 24, 12, and 18.

The last Option is Correct.

A matrix is a rectangular table of numbers and variables that are arranged in rows and columns.

From the given information:
City              1-Bedroom 2-Bedroom 3-Bedroom

Orlando        6                    9                     25

Tampa          24                  12                    18

Miami            17                   13                    21

Tampa is located on Matrix with 1 row and 3 columns consisting of elements 24, 12, and 18.

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We are given v = ds/dt, v = 9.8t + 9, s(0) = 17. We need to find the position of a body moving along a coordinate line at time t.

Using the formula of velocity, we can integrate it with respect to t to find the position of the body at any time t. The formula for velocity is:v = ds/dt... (1) Integrating equation (1) with respect to t, we get's = ∫vdt + C ...(2)

Here, C is the constant of integration, and it is found using the given initial position. Given, s(0) = 17Substitute s = 17 and t = 0 in equation (2).17 = ∫(9.8t + 9)dt + C [∵ s(0) = 17]17 = 4.9t² + 9t + C

Therefore, C = 17 - 4.9t² - 9tOn substituting the value of C in equation (2), we get:s = ∫vdt + 17 - 4.9t² - 9t ...(3)Now, we can substitute the given velocity, v = 9.8t + 9, in equation (3).s = ∫(9.8t + 9)dt + 17 - 4.9t² - 9ts = 4.9t² + 9t + 17 - 4.9t² - 9ts = 9t + 17

Hence, the position of the body at time t is 9t + 17 units.

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Answer:

Ok, I can see only a) to c)

a) Lucy spent the most time reading.

b) 20 minutes.

c) 22 minutes.

Step-by-step explanation:

Reason for b):

First convert hours to minutes.

1 hour = 60 minutes

4 hours = ?

4 × 60 = 240 minutes.

Homework is 30°

Total in the pie chart is 360° so:

30/360 × 240 mins = 20 mins

Answer is Zac spent 20 minutes to do his homework.

Reason for c):

Watching TV:

Zac: 135°

Lucy: 102°

Zac:

135/360 × 240 minutes = 90 minutes

Lucy:

102/360 × 240 minutes = 68 minutes

To find how many minutes Zac spent watching TV than Lucy:

90 minutes - 68 minutes = 22 minutes.

Do you understand, Kiara 12004?

On solving the provided question, we can say that when the test statistic is chi-squared distributed under the null hypothesis, a statistical hypothesis test known as a chi-squared test

A null hypothesis is a kind of statistical hypothesis that asserts that a specific set of observations has no statistical significance. Using sample data, hypotheses are tested to determine their viability. Sometimes known as "zero" and symbolized by H0. Researchers start off with the presumption that there is a link between the variables. In contrast, the null hypothesis claims that there is no such association. Although the null hypothesis may not appear noteworthy, it is a crucial component of research.

When the test statistic is chi-squared distributed under the null hypothesis, a statistical hypothesis test known as a chi-squared test—more specifically, Pearson's chi-squared test and its variations—is valid to execute.

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Answer:

Domain - [0, 4]

Range - [100, 400]

Step-by-step explanation:

Function representing the amount of money 'y' and hours of babysitting 'x' is,

y = 10x + 100

a). The dependent variable is,

   Amount of money in the bank account.

    The independent variable is,

   Number of hours of babysitting

b). x       0        1         2         3        4

    y      100    110      120     130     140

   Since, x values of a function represent the domain and y-values represent the range,

   Domain - [0, 4]

   Range - [100, 140]

Answer:

this is what i got

plz brainly

Step-by-step explanation:

Answer:

The y value of Function A when x = -4 is greater than the y value of Function B when x = -4.

Step-by-step explanation:

A.) y = 2(-4) + 5 = -8 + 5 = -3

B.) y = 2(-4) + 2 = -8 + 2 = -6

-3 is greater than - 6.

The test to use when there's an independent group design and ordinal data is the Kruskal Wallis test

Given: Independent group and ordinal data. To find which test to use.

What's the Kruskal Wallis test?

The Kruskal Wallis test is used when you have one independent variable with two or further situations and an ordinal dependent variable. In other words, it's thenon-parametric interpretation of ANOVA and a generalized form of the Mann- Whitney test system since it permits two or further groups.

The Kruskal Wallis test is used when you have one independent variable with two or further situations and an ordinal dependent variable. In other words, it's thenon-parametric interpretation of ANOVA and a generalized form of the Mann- Whitney test system since it permits two or further groups.

The null thesis for the Kruskal- Wallis test simply states that there are no methodical or harmonious differences among the treatments being compared.

How to calculate the Kruskal Wallis test?

The computation of the Kruskal- Wallis statistic requires

Hence as is mentioned for an independent group design and ordinal data so we use the Kruskal Wallis test.

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We can use the Kruskal Wallis test when we have an independent group design and ordinal data.

We are given an independent group design and ordinate data.

We need to tell which test to use on them.

The Kruskal Wallis test is used when you have one independent variable with two or more situations and one ordinal dependent variable. In other words, it is an interpretation of ANOVA table and a generalized form of the Mann- Whitney test system.

The null hypothesis for the Kruskal- Wallis test tells us that:

There are no methodical or harmonious differences among the treatments being compared.

Therefore, we can use the Kruskal Wallis test when we have an independent group design and ordinal data.

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