The table shows the cost of grapes based on the number of pounds

purchased.

Pounds Cost

3 $3. 69

5 $6. 15

8 $9. 84


What is the constant of proportionality in the relationship

a) Diminishing returns start at x = 1,  where the marginal revenue will be less than the marginal cost

b)At x = 1, the company will earn R(1) = -32 + 6 + 18 + 4 = -4,000 dollars.

c) 0 ≤ x ≤ 25 implies that the Coffee Junction company has the capacity to spend a maximum of 25,000 dollars per month on advertisements.

a) At what level of advertising spending does diminishing returns start?

Diminishing returns refers to a situation when the marginal return on investment decreases as more resources are devoted to it. For instance, in case of Coffee Junction, increasing the advertising expenditure may lead to higher revenue, but the marginal revenue (revenue generated by each additional dollar spent) will gradually decrease.

b) How much revenue will the company earn at that level of advertising spending?

At x = 1, the company will earn R(1) = -32 + 6 + 18 + 4 = -4,000 dollars.

c) What does 0≤x≤25 tell us with respect to this problem?

In this problem, 0 ≤ x ≤ 25 implies that the Coffee Junction company has the capacity to spend a maximum of 25,000 dollars per month on advertisements.

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Answer:

Step-by-step explanation:

Answer:

aₙ = 11 - 3(n - 1)

Step-by-step explanation:

Arithmetic Explicit Formula: aₙ = a₁ + (n - 1)d

a₁ = First term

d = Common difference

n = Term number

The first term of the sequence is 11 and the common difference is -3.

Therefore, the explicit formula of the sequence is aₙ = 11 - 3(n - 1).

The 95% confidence interval for the mean amount (in milligrams) of nicotine in the sampled brand of cigarettes is C.39.2 to 40.8

We can use a t-table or a calculator to calculate the t-score. The t-score for a 95% confidence interval with 22 degrees of freedom (n-1) is around 2.074.

When we plug in the values, we get:

CI = 40 ± 2.074 * 1.8/√23 = 40 ± 0.763 = (39.237, 40.763)

As a result, the 95% confidence interval for the mean nicotine content of the studied cigarette brand is (39.237, 40.763) mg.

Because 39.2 to 40.8 is the closest response choice, the answer is 39.2 to 40.8.

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The polynomial function of the lowest degree that has -5, -2, and 0 as roots is f(x) = (x - 2)(x - 5).

To find the polynomial function of the lowest degree with -5, -2, and 0 as roots, we can use the factored form of a polynomial. If a number is a root of a polynomial, it means that when we substitute that number into the polynomial, the result is equal to zero.

In this case, we have the roots -5, -2, and 0. To construct the polynomial, we can write it in factored form as follows: f(x) = (x - r1)(x - r2)(x - r3), where r1, r2, and r3 are the roots.

Substituting the given roots, we have: f(x) = (x - (-5))(x - (-2))(x - 0) = (x + 5)(x + 2)(x - 0) = (x + 5)(x + 2)(x).

Simplifying further, we get: f(x) = (x^2 + 7x + 10)(x) = x^3 + 7x^2 + 10x.

Therefore, the polynomial function of the lowest degree with -5, -2, and 0 as roots is f(x) = x^3 + 7x^2 + 10x.

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The polynomial function of lowest degree that has –5, –2, and 0 as roots is f(x) = x(x + 2)(x + 5). Each root is written in the form of (x - root) and then multiplied together to form the polynomial.

The question asks for the polynomial function of the lowest degree that has –5, –2, and 0 as roots. To find the polynomial, each root needs to be written in the form of (x - root). Therefore, the roots would be written as (x+5), (x+2), and x. When these are multiplied together, they form a polynomial function of the lowest degree.

Thus, the polynomial function of the lowest degree that has –5, –2, and 0 as roots is f(x) = x(x + 2)(x + 5).

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Answer:

first one

Step-by-step explanation:

uh yeah the first one because it the second one to the original problem

Answer:

x + 2y = -4

Step-by-step explanation:

A system of linear equations has one solution when the graphs intersect at one point.

Rewrite y = (1/2)x + 2 into the same format as the possible solutions and compare:

y = (1/2)x + 2  

multiply both sides by 2:  2y = x + 4

Subtract 2y from both sides:  0 = x - 2y + 4

Subtract -4 from both sides:  -4 = x - 2y

⇒ x - 2y = -4

Compare:

Answer:

c

Step-by-step explanation:

it just is

Answer:

A)

Step-by-step explanation:

Answer:

The volume of the cylinder is 1.5 more that the one of the cone (i think)

Step-by-step explanation:

HOPE THIS HELPS (i am not sure it is correct)

PLZZ MARK BRAINLIEST if correct

Answer:

Step-by-step explanation:

A cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 3 inches. The height of the cone is 18 inches.

Use π = 3.14.

Answer:NaN

Step-by-step explanation:

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giving the following NaN.

The distance between P and Q is sqrt(40), which can also be simplified to 2*sqrt(10) or approximately 6.3246 units.

To find the distance between two points P (-4, 1) and Q (2, 3), we use the distance formula:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

where (x1, y1) are the coordinates of point P and (x2, y2) are the coordinates of point Q.

Substituting the values for P and Q, we get:

d = sqrt((2 - (-4))^2 + (3 - 1)^2)

d = sqrt((2 + 4)^2 + 2^2)

d = sqrt(36 + 4)

d = sqrt(40)

Therefore, the distance between P and Q is sqrt(40), which can also be simplified to 2*sqrt(10) or approximately 6.3246 units.

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\(\\ \rm\rightarrowtail 362.5\)

\(\\ \rm\rightarrowtail 36.25\times 10\)

\(\\ \rm\rightarrowtail 3.625\times 10^2\)

Done!

3.625 × 10²

10²=100

3.625 × 100=362.5

Answer:

do seventh to the 6th power then u will get ur answer

Step-by-step

ive did the test

Answer:

so sorry i needed the points to ask my question.

Step-by-step explanation:

30 Students I hope it helps.

The ordered pair satisfying the given condition is (0,0)

Given that,

U = { (x,y) : x,y belong to real numbers }

A = { (x,y) : (x,y) is a solution of y=x }

B = { (x,y) : (x,y) is a solution of y=2x }

We need to find the ordered pair (x,y) that belong to AB.

Let, (x,y) belong to A∩B

i.e. (x,y) belong to A and (x,y) belong to B

i.e. y = x and y = 2x

i.e. x = 2x

i.e. x = 0

Now, substitute x= 0 in any of the equation say y = x, we get y = 0.

Hence, the ordered pair satisfying A∩B is (0,0).

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Answer:0,0

Step-by-step explanation:

right on quiz

ANSWER

My Answer is in the photo above

3x + 2 = 14 -3

or, 3x = 14-3-2

or, 3x = 9

or, x = 9/3 = 3

The answer is 3.

Please mark me Brainliest if you like my answer.

Answer:

2.333 recurring

Step-by-step explanation:

The one third of a pound is 1/3

The seven burger patties is 7/1

So 1/3 times 7/1 =

1 times 7 = 7

3 times 1 = 3

= 7/3

= 2.3333 recurring

The curve of the given vector equation is shown below: It can be seen that the arrow points towards the positive x-axis, which is in the direction of increasing t.

To sketch curve of the given vector equation, r(t) = < t , 2 - t , 2t >, and indicate with an arrow the direction in which t increases, we need to follow some steps.

Step 1: Create a table for the vector. We need to create a table and fill in the values for t, x, y, and z. Let's do it below:

\(tt (time)xx (position)x(t)x(t)(2−t)(2−t)2t2t\)

Step 2: Plotting the points. We can plot the points by simply taking the x, y and z values from the table created above. The curve will pass through these points. The curve will be three-dimensional.

Step 3: Indicate the direction of t. To indicate the direction of t, we use an arrow on the curve. The arrow is drawn such that it starts from the initial point and points in the direction in which the parameter (in this case, t) increases. In this problem, since t increases in a positive direction, we take the arrow pointing towards the positive x-axis.

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Answer:

66-11ab-6b

Step-by-step explanation:

20 + 46 - 11ab - 6b

add like terms

66-11ab-6b

Step-by-step explanation:

20+46-11ab-6b

since there are only one pair of like terms,

therefore by solving them , we get

66-11ab-6b

I hope it helped U

stay safe stay happy

The means of the 10 possible samples of size 2 from the population {2, 4, 6, 6, 8} are 3, 4, 4, 5, 5, 5, 6, 6, 7, and 7.

To list all possible samples of size 2 from the given population of 5 values, we can use combinations. The possible combinations of two values from a set of five are:

{2, 4}, {2, 6}, {2, 6}, {2, 8}, {4, 6}, {4, 6}, {4, 8}, {6, 6}, {6, 8}, {6, 8}

To compute the mean of each sample, we add the two values in the sample and divide by 2. The mean of each sample, rounded to 1 decimal place, is:

{2, 4}: (2 + 4)/2 = 3

{2, 6}: (2 + 6)/2 = 4

{2, 6}: (2 + 6)/2 = 4

{2, 8}: (2 + 8)/2 = 5

{4, 6}: (4 + 6)/2 = 5

{4, 6}: (4 + 6)/2 = 5

{4, 8}: (4 + 8)/2 = 6

{6, 6}: (6 + 6)/2 = 6

{6, 8}: (6 + 8)/2 = 7

{6, 8}: (6 + 8)/2 = 7

Therefore, the means of the 10 possible samples of size 2 from the population {2, 4, 6, 6, 8} are 3, 4, 4, 5, 5, 5, 6, 6, 7, and 7.

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The area of the fiqure is 132 cm².

Area is the region bounded by a plane shape.

To calculate the area of the figure, we use the formula below

Formula:

Where:

From the diagram,

Given:

Substitute these values into equation 1

Hence, the area is 132 cm².

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We have that there are 8 participants and 4 prizes, in this problem, it's important the order of the prizes too.

Now, for the first time, there are 8 possibilities for awarding the winner prize.

For the second moment, there are just 7 possibilities for awarding the first runner-up.

Then, we have that there are 6 possibilities for awarding the second runner-up.

And, finally, we have 5 possibilities for awarding the third runner-up.

So, we have that all the ways are represented as:

And since the order of the 4 prizes is important to get a specific prize, we have:

Then the correct answer would be 70.

Answer: 2.7

Step-by-step explanation:

The mean attention span for adults in a certain village is μ = 15 minutes with a standard deviation of σ = 6.4. We are interested in finding the mean of all possible samples of size n = 30, taken from that population.

According to the central limit theorem, the distribution of sample means will be approximately normal with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size. That is:

\(mean of sample means = population mean = μ = 15 minutes\\standard deviation of sample means = population standard deviation / sqrt(n) = σ / sqrt(30) ≈ 1.17 minutes\)

Therefore, the mean of all possible samples of size 30, taken from the population with mean 15 minutes and standard deviation 6.4 minutes, is approximately equal to 15 minutes.

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The number of positive integers that can be expressed in the given form among the first 1000 positive integers is 984.

To determine the number of positive integers that can be expressed in the form $\lfloor 2x\rfloor \lfloor 4x\rfloor \lfloor 6x\rfloor \lfloor 8x\rfloor$, where $x$ is a real number, we need to analyze the conditions under which this expression takes integer values.

Let's consider the factors $\lfloor 2x\rfloor$, $\lfloor 4x\rfloor$, $\lfloor 6x\rfloor$, and $\lfloor 8x\rfloor$ separately.

For $\lfloor 2x\rfloor$ to be an integer, $x$ must be of the form $n/2$, where $n$ is an integer.

For $\lfloor 4x\rfloor$ to be an integer, $x$ must be of the form $n/4$, where $n$ is an integer.

For $\lfloor 6x\rfloor$ to be an integer, $x$ must be of the form $n/6$, where $n$ is an integer.

For $\lfloor 8x\rfloor$ to be an integer, $x$ must be of the form $n/8$, where $n$ is an integer.

To satisfy all four conditions simultaneously, $x$ must be of the form $n/24$, where $n$ is an integer.

Now, let's consider the range of positive integers up to 1000 that can be expressed in the given form.

The largest value of $n$ that gives an integer less than or equal to 1000 when divided by 24 is $24 \times 41 = 984$. So, we can express positive integers up to 984 in the form $\lfloor 2x\rfloor \lfloor 4x\rfloor \lfloor 6x\rfloor \lfloor 8x\rfloor$.

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Answer:

Step-by-step explanation:

a

Answer:

y=1/2x-5/2

Step-by-step explanation:

y-y1=m(x-x1)

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

y+3=1/2(x+1)

y=1/2x+1/2-3

y=1/2x+1/2-6/2

y=1/2x-5/2

Lets check how?

Factors of 3=1,3

Max value possible=1+3=4

Minimum value=-1-3=-4

So Verified

Answer: x2 – 10x + 25 = (x – 5)(x – 5)

                      = (x – 5)2

Answer:

Step-by-step explanation:

according to the question equation is

3i-71

-4i

Answer:

3i - 7i = (3-7)i = -4i

so -4i.