A function is defined by the equation y=-3x - 4. If the domain is 1 ≤x≤ 5,
what is the smallest number in the range (y) of the function?

i. Costco is more effective at collecting its accounts receivable faster.

ii. The trend in the accounts receivable turnover ratio and the number of days sales in accounts receivable for both companies is that they are both decreasing.

iii. Costco is more effective at collecting its accounts receivable faster than Sam's Club.

Accounts Receivable Turnover: Year ended in 2022: 10.2 times; Year ended in 2021: 10.1 times.

Number of Days Sales in Accounts Receivable: 2022: 38.6 days; 2021: 39.1 days.

Sam's Club

Accounts Receivable Turnover: Year ended in 2022: 8.6 times; Year ended in 2021: 8.5 times.

Number of Days Sales in Accounts Receivable: 2022: 45.2 days; 2021: 46.2 days.

This could be due to a number of factors, such as the economic environment, changes in customer payment habits, or changes in the way that the companies are managing their receivables.

This could be due to a number of factors, such as the companies' different business models, customer bases, or payment terms.

So, Costco is more effective at collecting its accounts receivable faster.

The trend in the accounts receivable turnover ratio and the number of days sales in accounts receivable for both companies is that they are both decreasing. Costco is more effective at collecting its accounts receivable faster than Sam's Club.

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Answer:

210 cm²

Step-by-step explanation:

The net of the right trapezoidal prism consists of 2 trapezoid base and four rectangles.

Surface area of the trapezoidal prism = 2(area of trapezoid base) + area of the 4 rectangles

✔️Area of the 2 trapezoid bases:

Area = 2(½(a + b)×h)

Where,

a = 7 cm

b = 11 cm

h = 3 cm

Plug in the values

Area = 2(½(7 + 11)×3)

= (18 × 3)

Area of the 2 trapezoid bases = 54 cm²

✔️Area of Rectangle 1:

Length = 6 cm

Width = 3 cm

Area = 6 × 3 = 18 cm²

✔️Area of Rectangle 2:

Length = 7 cm

Width = 6 cm

Area = 7 × 6 = 42 cm²

✔️Area of Rectangle 3:

Length = 6 cm

Width = 5 cm

Area = 6 × 5 = 30 cm²

✔️Area of Rectangle 4:

Length = 11 cm

Width = 6 cm

Area = 11 × 6 = 66 cm²

✅Surface area of the trapezoidal prism = 54 + 18 + 42 + 30 + 66 = 210 cm²

Answer:

(8,-43)

(4,-22)

Step-by-step explanation:

In order for the ordered pair to be a solution of the inequality, you must be able to plug in the y-value of the ordered pair and it must be less than or equal to 0.

For example:

(4,-22)

x=4 ; y=-22

Plug y into the inequality

y≤0

-22≤0

Since the statement is true, I know that (4,-22) must be a solution to the inequality.

Another way to solve this problem is by graphing. If an ordered pair is in the shaded region, it is a solution to the inequality. Attached is a graph of both the inequality and ordered pairs plotted.

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Answer:

Step-by-step explanation:

To determine whether each ordered pair is a solution to the inequality y ≤ 0, we need to check if the y-coordinate of each pair is less than or equal to zero.

Let's check each ordered pair:

(8, -43):

The y-coordinate is -43. Since -43 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.

(4, -22):

The y-coordinate is -22. Since -22 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.

(-3, 25):

The y-coordinate is 25. Since 25 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.

(-7, 45):

The y-coordinate is 45. Since 45 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.

So, the solutions to the inequality y ≤ 0 are:

(8, -43) and (4, -22).

The pair of numbers that yields the maximum product when their sum is 24 is (12, 12), and the maximum product is 144. The corresponding quadratic function is P(x) = -x^2 + 24x, and the parabola opens downwards.

To find a pair of numbers whose sum is 24 and whose product is as large as possible, we can use the concept of maximizing a quadratic function.

Let's denote the two numbers as x and y. We know that x + y = 24. We want to maximize the product xy.

To solve this problem, we can rewrite the equation x + y = 24 as y = 24 - x. Now we can express the product xy in terms of a single variable, x:

P(x) = x(24 - x)

This equation represents a quadratic function. To find the maximum value of the product, we need to determine the vertex of the parabola.

The quadratic function can be rewritten as P(x) = -x^2 + 24x. We recognize that the coefficient of x^2 is negative, which means the parabola opens downwards.

To find the vertex of the parabola, we can use the formula x = -b / (2a), where a = -1 and b = 24. Plugging in these values, we get x = -24 / (2 * -1) = 12.

Substituting the value of x into the equation y = 24 - x, we find y = 24 - 12 = 12.

So the pair of numbers that yields the maximum product is (12, 12). The maximum product is obtained by evaluating the quadratic function at the vertex: P(12) = 12(24 - 12) = 12(12) = 144.

Therefore, the maximum product is 144. This quadratic function has a maximum value because the parabola opens downwards.

To graph the function, you can plot several points and connect them to form a parabolic shape. Here is an uploaded image of the graph of the quadratic function: [Image: Parabola Graph]

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According to the definition of triangle, the sum of 2 sides of a triangle is greater than the third side.

It means that for triangle ABC, it is true that:

For the given value 3, 36 and 39, it is assumed that the sum of 3 and 36 must be greater than 39:

The sum of 3 and 36 equals 39, is not greater than 39. It means the correct answer is Cannot be determined (Not a triangle)

Title: Echoes of Legacy

In the depths of history, my ancestor Emma stepped forward with a photograph in her hands. The image revealed a scar on her cheek, a reminder of her resilience.

Title: Echoes of the Past

I had always been fascinated by the old family photograph that hung on the wall. It depicted a man with rugged features, a scar running across his weathered face, and a distant look in his eyes. That man was my ancestor, Samuel McAllister, and it was time for me to step into his world and uncover the mysteries that lay within.

As I closed my eyes, the world around me faded away, and I found myself transported to the 19th century. It was a time of great turmoil, an era defined by the echoes of war and whispers of change. Samuel, a resilient and courageous man, had ventured into the unknown, leaving behind a life of familiarity to seek adventure and fortune in the American West.

Samuel's journey took him through vast landscapes, from bustling cities to untamed frontiers. He encountered characters as diverse as the land itself, from cowboys to Native Americans. Each encounter left an indelible mark on his spirit, shaping him into a man of empathy and understanding.

One evening, as Samuel set up camp beneath a star-studded sky, a ghostly presence appeared before him. It was a specter, translucent and ethereal, silently beckoning him to follow. Filled with curiosity and a sense of foreboding, Samuel pursued the apparition through moonlit forests and winding canyons.

The ghost led him to a hidden cave, its walls adorned with ancient symbols and forgotten tales. In that sacred space, Samuel discovered a hidden treasure—a trove of knowledge passed down through generations. He realized that he had stumbled upon a portal to the past, a bridge connecting him to his ancestors and their wisdom.

Armed with newfound insight, Samuel returned to civilization, but his journey was far from over. He faced personal demons and fears, wrestling with his own identity and the weight of responsibility. Yet, through it all, he carried the spirit of his ancestors within him, drawing strength from their stories and the legacy they left behind.

Samuel's adventures were not without hardship. He witnessed the brutality of war, experienced heartbreak, and confronted his own mortality. But in those moments of adversity, he discovered resilience and compassion, traits that defined his character.

The scar on his face became a symbol of his resilience—a reminder of the battles fought, both physical and emotional. It served as a testament to the scars we all carry, visible or hidden, and the strength that lies within us to overcome adversity.

As I opened my eyes, I realized that I had lived through Samuel's experiences, even if only in my imagination. Through his story, I had unearthed a deeper connection to my roots, understanding the sacrifices and triumphs that shaped my family's legacy.

Samuel's journey continues to resonate within me, a reminder of the importance of embracing our past, exploring our fears, and celebrating the extraordinary within the ordinary. His story lives on, echoing through the corridors of time, inspiring future generations to embark on their own quests of self-discovery and adventure.

Word Count: 546 words

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Answer:

To simplify the expression (a÷b)³×(b÷c)×(c÷a)³ when a=3, b=a², c=a³, we can substitute the given values and perform the calculations.

Substituting the values of a, b, and c:

a = 3

b = a² = 3² = 9

c = a³ = 3³ = 27

Now let's simplify the expression:

(a÷b)³×(b÷c)×(c÷a)³

(3÷9)³×(9÷27)×(27÷3)³

Simplifying each term:

(3÷9) = 1/3

(9÷27) = 1/3

(27÷3) = 9

Now we can substitute the simplified values back into the expression:

(1/3)³×(1/3)×9

Simplifying further:

(1/27)×(1/3)×9

1/9

Therefore, the simplified expression is 1/9.

System of 2 equations

3x - 10y = -46

8x + 10y = 24

In this special case, apply elimination method

Add both equations

(3x -10y )+ (8

Answer:  x=7

Step-by-step explanation:  

plug y into equation...

x-(-4x+23)=12

solve...

x+-1(-4x+23)=12

x+-1(-4x)+-1(23)=12

x+4x-23=12

5x-23=12

5x=35

x=7

Answer:

a+b)(a-b)

(Step-by-step explanation:

Thus, the boat travels x = 139.18 miles in North direction  and y = 143.62 miles east from the harbor.

It is possible to break down a "two-dimensional vector" into its horizontal as well as vertical parts. By using the Pythagorean theorem and the vector's magnitude as the hypotenuse of a right triangle, we may determine these components of vector.

As indicated below, we must determine how far east and north the boat has moved relative to the harbour.

X miles north:

cos 51 = x/200

x = 200*cos51

x = 139.18 miles

y miles east:

sin 53 = y/200

y = 200*sin 51

y = 143.62 miles

Thus, the boat travels x = 139.18 miles north and y = 143.62 miles east from the harbor.

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Answer:

45 minutes, hope this helps

Step-by-step explanation:

Answer:

45 minutes.

Step-by-step explanation:

Set up a ratio.

6 keychains: 30 minutes

divide both sides of the ratio by 6

1 keychain: 5 minutes

multiply both sides of the ratio by 9

9 keychains: 45 minutes

It will take him 45 minutes.

Answer:

Yes

Step-by-step explanation:

u substitute the x and y for 4 and -9. When u do, the equation is true.

Answer:

\(\log_416=2\)

Step-by-step explanation:

Given expression:

\(\log_416\)

Rewrite 16 as 4²:

\(\implies \log_44^2\)

\(\textsf{Apply the log power law}: \quad \log_ax^n=n\log_ax\)

\(\implies 2 \log_44\)

\(\textsf{Apply log law}: \quad \log_aa=1\)

\(\implies 2 \cdot 1\)

Simplify

\(\implies 2\)

Therefore:

\(\implies \log_416=2\)

SOLUTION

We want to solve

Taking logarithm of both sides, we have

Collecting like terms we have

Hence the solution set expressed in terms of logarithm is

Using a calculator to obtain a decimal approximation, we have

Hence the answer is -3.52 to 2 decimal places

The exact value of cos theta if the terminal side of theta in standard position contains the point (6,-8) is, 3 / 5

We have to given that;

the terminal side of theta in standard position contains the point (6,-8)

Hence, For given condition we get;

The exact value of cos theta if the terminal side of theta in standard position contains the point (6,-8) is,

Here, x = 6, y = - 8

Hence, We get;

r = √x² + y²

r  = √6² + 8²

r = √36 + 64

r = √100

r = 10

So, The exact value of cos theta if the terminal side of theta in standard position contains the point (6,-8) is,

cos θ = x / r

cos θ = 6 / 10

cos θ =  3 / 5

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9514 1404 393

Answer:

  x = 60

Step-by-step explanation:

The angle x is half the sum of the intercepted arcs:

  x = (40 +80)/2

  x = 60

According to Chebyshev's Theorem, approximately 91% of the revenues are within k = 3.3 standard deviations of the mean.

What is Chebyshev's Theorem?

The minimum percentage of observations that are within a given range of standard deviations from the mean is calculated using Chebyshev's Theorem. Several other probability distributions can be applied to this theorem. Chebyshev's Inequality is another name for Chebyshev's Theorem. For a large class of probability distributions, Chebyshev's inequality ensures that no more than a specific percentage of values can deviate significantly from the mean.

According to Chebyshev's Theorem, at least 1 - 1/k² of the revenues lie within k standard deviations of the mean.

So when k = 3.3

1 -  1/k² = 1 - 1/3.3² = 1 - 0.0918 = 0.9082 = 90.82% ≈ 91%

Therefore according to Chebyshev's Theorem, approximately 91% of the revenues are within k = 3.3 standard deviations of the mean.

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Answer:

$18

Step-by-step explanation: divide the $40 between the number of them ($40÷4=$10)

Add the $10 with the $8 they each spent ($10+$8=$18)

Answer:

a = 9h + nb

Step-by-step explanation:

1) Variables:

a=total amount earned

h=hours worked in one week

n=number of items repaired

b=bonus amount for each item

2) He earns $9.00 an hour plus a bonus for each item repaired.

=> he earns 9 times the number of hours plus value of the bonus times the number of items repaired

=>  a = 9h + nb

Answer:

Slope is 8 here

Y= mx +c

And c= 8

Y = - 2x + 8

Answer:

\(\displaystyle m = 0\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

Point (2, -3)

Point (6, -3)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

i) the original distance when the lighthouse is due West of the ship is 7 km

ii) The time in minutes when the lighthouse is due West of the ship is 21 minutes

iii) The distance in km of the ship from the lighthouse when the lighthouse is due West of the ship is 29.97 km

To solve this problem, we'll use the concepts of relative velocity and trigonometry. Let's break down the problem into three parts:

i) Finding the original distance when the lighthouse is due West of the ship:

The ship's velocity is given as 21 km/h at a bearing of 052°. Since the ship observed the lighthouse due North, we know that the angle between the ship's initial heading and the lighthouse is 90°.

To find the distance, we'll consider the ship's velocity in the North direction only. Using trigonometry, we can determine the distance as follows:

Distance = Velocity * Time = 21 km/h * (20 min / 60 min/h) = 7 km (to three significant figures).

ii) Finding the time in minutes when the lighthouse is due West of the ship:

To find the time, we need to consider the change in angle from 052° to 312°. The difference is 260° (312° - 052°), but we need to convert it to radians for calculations. 260° is equal to 260 * π / 180 radians. The ship's velocity in the West direction can be calculated as:

Velocity in West direction = Velocity * cos(angle) = 21 km/h * cos(260 * π / 180) ≈ -19.98 km/h (negative because it's in the opposite direction).

To find the time, we can use the formula:

Time = Distance / Velocity = 7 km / (19.98 km/h) = 0.35 h = 0.35 * 60 min = 21 minutes (to three significant figures).

iii) Finding the distance in km of the ship from the lighthouse when the lighthouse is due West of the ship:

We can use the formula for relative velocity to find the distance:

Relative Velocity = sqrt((Velocity in North direction)² + (Velocity in West direction)²)

Using the values we calculated earlier, we have:

Relative Velocity = sqrt((21 km/h)² + (-19.98 km/h)²) ≈ 29.97 km/h (to three significant figures).

Therefore, the ship is approximately 29.97 km away from the lighthouse when the lighthouse is due West of the ship.

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It is not possible to find a combination using addition and multiplication of the given single-digit numbers that totals exactly 100 while keeping the same order.

To combine the single-digit numbers 1, 2, 3, 4, 5, 6, 7, 8, and 9 using only addition and multiplication so that they total 100 while keeping the same order, we can form the following expression:

1 + 2 + 3 + 4 + 5 + 6 + 78 + 9

In this expression, we group the numbers 7 and 8 together to form 78. Then, we add all the other numbers from 1 to 6 and the number 9. Adding them up, we get:

1 + 2 + 3 + 4 + 5 + 6 + 78 + 9 = 108

Unfortunately, the sum obtained from this expression is 108, not 100 as required.

It is not possible to obtain a sum of exactly 100 by combining the single-digit numbers 1 to 9 in the given order using only addition and multiplication. This is because the largest single-digit number, 9, is relatively small compared to the desired total of 100.

Adding all the single-digit numbers in order without any multiplication would result in a sum of 45, which is significantly lower than 100. Multiplication can only further decrease the sum, making it even more difficult to reach 100.

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Answer: 2 cups of milk

Step-by-step explanation:

     We will set up a proportion to help us solve. We will put cups of milk in the numerator and number of cookies in the denominator.

           \(\displaystyle \frac{2/3 \;\;cup}{29\;\;cookies} =\frac{x\;\;cups}{87\;\;cookies}\)

     Now, we can cross-multiply.

           29 * x = 2/3 * 87

           29x = 58

           x = 2

                    2 cups of milk are needed to make 87 cookies.

Step-by-step explanation:

since 2/3 cups are used to make 29 cookies... which can be written as 2/3=29cookies

then how many cups of milk will be used to make 87 cookies...which is x=87 cookies

now we have 2 equations

2/3=29cookies

x. =87 cookies

cross multiply and you will have

29x=87×2/3

29x=58

divide both sides by 29 and x equals 2

Answer:

X=number of hours

Step-by-step explanation:

$50 is the flat fee

$65 per hour

X how many hours it took for the job.

Answer: it would be 18/3 or

Step-by-step explanation:

2/3 x 9 = ?

1) You multiple both numerator and denominator: 2x9 / 3x1 = 18/3

2) Find the GCF ( greatest common factor) for both numbers. Which is

3) Then divide both the numerator and denominator by 3 to simplify to it's lowest term: 18÷3= 6 and 3÷3= 1 which gives a fraction of 6/1 or

Answer: I'd say the best answer is b.

Step-by-step explanation:

The maximum temperature during summer in that year was 34°C.

It's not possible for the maximum temperature in Gulmarg, Kashmir to rise by 44°C during the summer.

A temperature rise of that magnitude would be extremely unusual and potentially dangerous.

However, assuming that the question meant to ask about the difference between the minimum temperature in January and the maximum temperature in summer, we can proceed with the calculation.

The minimum temperature in January was -10°C, and if we add 44°C to it, we get:

-10°C + 44°C = 34°C

Therefore, the maximum temperature during summer in that year was 34°C.

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