The revenue generated from a 80 unit apartment building can be modeled with the polynomialR= - 28x^2 + 360x+ 29000 where x is the number of apartments rented at one time. The monthlycost to maintain the apartments is C = 300x+ 1100, again x is equal to the number of apartmentsrented.Find the profit polynomial that describes the total profit generated by the apartment complex based on thenumber of apartments rented.Give the profit earned if 40 units are rented.

Answer:

6.666 minutes or 6 minutes and 40 seconds

Step-by-step explanation:

20/ 3 = 6.66...

The total time divided by the number of miles equals the average mile time.

Hope this helps! Have a great day or night (wherever you are)! : )

Answer:

9%

Step-by-step explanation:

To find the increased amount, subtract this month sales from the last month sales.      

Increased amount = 196200 - 180000

                              = £ 16,200

Now, find the increased percentage using the formula,        

\(\boxed{\bf Increased \ percentage = \dfrac{Increased \ amount}{Original \ amount}*100}\\\\\)

                                        \(= \dfrac{16200}{180000}*100\\\\= 9\%\)

First term: degree= 3 coefficient = -2

Second term: degree= 2 coefficient = -5

Third term: degree= 4 coefficient = -5

Fourth term: degree= 1 coefficient = -1

Fifth term: degree= 0 coefficient = 1

The leading coefficient is -5.

The degree of the leading term is 4.

The degree of the polynomial is 4.

A polynomial is an expression comprising components and coefficients, which are combined utilizing number juggling operations like extension, subtraction, and increment, but not division.

The degree of a term in a polynomial is the illustration of its variable. The coefficient of a term is the numerical figure that increments the variable.

For the case, inside the polynomial,  \(2x^5 - 3x^3 + x - 4 - 2x^-2,\) the degree of the essential term\((2x^5)\) is 5, and its coefficient is 2. So moreover, the degree of the third term (x) is 1, and its coefficient is 1.

The degree of the fourth term (-4) is 0, and its coefficient is -4. The degree of the fifth term \((2x^-2)\) is -2, and its coefficient is 2. 

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The full question is
Given the polynomial,

-2x³- 5x²-\(5x4\)+1-x

identify the coefficients and degree of each term:

First term: degree=

coefficient =

Second term: degree=

coefficient =

Third term: degree=

coefficient =

Fourth term: degree=

coefficient =

Fifth term: degree=

coefficient =

What is the leading coefficient?

What is the degree of the leading term?

What is the degree of the polynomial?

Answer:

x=-1,2,3

Step-by-step explanation:

f(x) = 0 means we want to find where the graph has a y value of 0

In this example, the graph has a y value of 0 when x =-1 and when x = 2 and when x=3

There are 3 solutions to the equation f(x) = 0

Answer: 49/200, numerador= 49

Step-by-step explanation:

Answer:

20kilometers

Step-by-step explanation:

10kilometers home to library +10killometer home to school

The inequality tha calculates the possible values of x is x < 2

From the question, we have the following parameters that can be used in our computation:

The figure

Where, we have

3x + 2 < 10

And, we have

2x + 6 < 10

Evaluate the expressions

So, we have

3x < 8 and 2x < 4

Evaluate

x < 8/3 and x < 2

Hence, the inequality tha calculates x is x < 2

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bTo determine the percent of the original price you end up paying after the discounts, we can calculate the final price as a percentage of the original price.

Let's assume the original price of an item is $100.

The first discount reduces the price by 50%, so the price after the first discount is 50% of the original price, which is $100 * 0.5 = $50.

The second discount of 45% is applied to the price after the first discount. The price after the second discount is 45% of $50, which is $50 * 0.45 = $22.50.

Therefore, the final price you end up paying after both discounts is $22.50.\

To find the percent of the original price you end up paying, we divide the final price by the original price and multiply by 100:

Percent of original price = (final price / original price) * 100

In this case, the final price is $22.50 and the original price is $100:

Percent of original price = ($22.50 / $100) * 100

                       = 0.225 * 100

                       = 22.5%

Therefore, you end up paying 22.5% of the original price after the discounts.

It's important to note that the percent of the original price you end up paying will depend on the original price of the item. The calculations above were based on the assumption that the original price was $100. If the original price is different, the resulting percentage will vary accordingly.

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Answer:

Step-by-step explanation:

Solution:

We can simplify the ratio 305 : 60 by dividing both terms by the greatest common factor (GCF).

The GCF of 305 and 60 is 5.

Divide both terms by 5.

305 ÷ 5 = 61

60 ÷ 5 = 12

Therefore:

305 : 60 = 61 : 12

Answer: 5 inspections in 4 hours, because if its 8 hours it would be 10 inspections

Step-by-step explanation:

Answer:

1.25

Step-by-step explanation:

10 ÷ 8 = 1.25

Answer: B

Step-by-step explanation:

To isolate x, you divide both sides by 21

21x=7

\(\frac{21x}{21}=\frac{7}{21}\)

x = 7/21

Simplify by dividing both the numerator and denominator by 7

x = 1/3

Since, 1/3 is not an option, B is the correct answer

Answer:

e = 10

Step-by-step explanation:

In this problem we are told to solve for e. This means we need to isolate the variable e, leaving it completely by itself on one side of the equation.

9e + 4 = -5e + 14 + 13e

We can do this multiple ways, but I will show you how I would do it.

First I would subtract 4 from both sides.

9e + 4 = -5e + 14 + 13e

9e = -5e + 14 + 13e - 4

We can simplify the right side of the equation down by subtracting four from 14.

9e = -5e + 10 + 13e

Next, let's simplify our algebraic expressions. We can subtract 5e from 13e (or add -5e to 13e whatever tickles your fancy)

-5e + 13e = 8e

9e = 8e + 10

Now we subtract algebraic expression 8e from both sides

9e - 8e = 10

All of our expressions with the variable e are now on one side but we aren't done yet. Compute 9e - 8e.

9e - 8e = 10

1e = 10

or

e = 10

We have isolated e! Our final answer is e = 10

There is a Rotation of 180 degrees

What is Co-ordinate Geometry?

A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.

We are given that point A is (4, 5) this means that the point lies in the First Quarter of the Co-ordinate System

and the transformed point lies in the Third Quarter of the Co-ordinate System

So, it can be very well said that there is a Rotation of 180 degrees

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Answer:

a = (3/4)b

Step-by-step explanation:

2(6a - 7b) = 10(10a - 8b)

12a - 14b = 100a - 80b

12a + 66b = 100a

66b = 88a

6b = 8a

3b = 4a

(3/4)b = a

Answer: (attached photo)

Step-by-step explanation:

Plugging the equation into desmos worked for me. But just think of rise over run. rise:3 run:5

Answer:

The line would be linear

See below for more:

Step-by-step explanation:

The line would be linear.

I can't draw the line for you but I can give you some of the points on the line.

In order to find points, you need to substitute values for x into the equation:

y = -5x + 3

Let's try x = 0;

y = -5(0) + 3

y = 0 + 3

y = 3

So the point would be, (0,3)

Next let's try 1;

y = -5(1) + 3

y = -5 + 3

y = -2

The point is, (0,-2)

Usaully you just need two points to draw a line. If you want the line to be more precise, you can keep on substituting values for x into the equation.

Hope this helps!

Answer:

1/8 1/4 3/8 5/8 3/4

Step-by-step explanation:

Express 1.4 and 3/4 with equivalent fractions with 8 as the denominator

1/4 x 2/2 = 2/8

3/4 x 2/2 = 6/8

Now that all the fractions have the common denominator of 8, line then up by the numerators.

Answer: 1/8 1/4 3/8 5/8 3/4

Answer:

"the circumference divided by the diameter"

Step-by-step explanation:

Circles are all similar, and "the circumference divided by the diameter" produces the same value regardless of their radius. This value is the ratio of the circumference of a circle to its diameter and is called π (Pi).

No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.

According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.

If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.

Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.

However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.

Therefore,  if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.

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Large sample significance tests for a single proportion are based on the  statistic binomial. the correct option is A

Significance test can be defined as tests for statistical significance indicate whether observed differences between assessment results occur because of sampling error. Significance tests give a formal process for using sample data to evaluate the likelihood of some claim about a population value.

Therefore a Large sample significance tests for a single proportion are based on the  statistic binomial.

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Option A is correct -- 19.9

from figure :

AB=\(5+\frac{9}{2}\)

    =9.5

From Pythagoras theorem:

\(x^{2} =(9.5)^2} +1\)

\(x^{2} =91.25\)

\(x=19.9\)

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. This can be written as an equation:

\(a^{2} +b^{2}=c^{2}\)

where c is the length of the hypotenuse and a and b are the lengths of the other two sides.

The Pythagorean theorem is a very useful tool for solving problems involving right triangles, such as finding the distance between two points or the height of a ladder. It is named after the ancient Greek mathematician Pythagoras, who is credited with its discovery.

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Answer:

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

Step-by-step explanation:

hello :

an  polynomial is : f(x)=(x+4)(x+3)(x-0)(x-4)(x-3)

means : f(x)=x(x+4)(x+3)(x-4)(x-3)

Answer:

Angle A = tan^-1(11/5)
Angle C = 90 - tan^-1(11/5)
AC = sqrt(146)

Step-by-step explanation:

As this is a right triangle, we can apply the Pythagorean theorem a^2 + b^2 = c^2, where c is the hypotenuse while a and b are the legs, to solve for AC.

11^2 + 5^2 = AC^2

121 + 25 = AC^2

146 = AC^2

sqrt(146) = AC^2

Next, to find angle A, we can use one of the trigonometric functions. Let’s use tangent for simplicity. Tangent of an angle is “opposite divided by adjacent”. If we set the angle to A, opposite is side BC and the adjacent is side AB. Thus, tan(A) = 11/5 and tan^-1(11/5) = A.
Since the sum of angles in a triangle is 180, we can find angle C by setting up this equation: C = 180 - 90 - tan^-1(11/5), which is 90 - tan^-1(11/5)

A 1-gigabyte flash drive has 1000 times more storage space than a 1-megabyte flash disk. The right response is thus "1,000 times greater."

We need to find the ratio between the two capacities.

Given that there are \(10^9\) bytes in a gigabyte and\(10^6\) bytes in a megabyte, we can calculate the ratio as follows:

Ratio = (1 GB) / (1 MB)

= \((10^9 bytes) / (10^6 bytes)\)

= \(10^(9 - 6)\)

=\(10^3\)

= 1000

Therefore, A 1-gigabyte flash drive has 1000 times more storage space than a 1-megabyte flash disk. The right response is thus "1,000 times greater."

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Answer: 3500(1.023)4t

Step-by-step explanation:(4t is to the power

The function represents the balance after t years if $3500 deposit earns 9.2% annual interest compounded quarterly is  \(y = 3500 \times 1.023^{4t}\).

When the loan is given to you, then some amount is charged to you for the principal amount and that is called interest.

Given:

$3500 deposit that earns 9.2% annual interest compounded quarterly,

Calculate the amount after t years as shown below,

Amount = \(p(1 + r/400)^{4t}\)

Plug the values as shown below,

y = 3500(1 + 9.2 / 400)⁴ⁿ

y = 3500 (1 + 0.023)⁴ⁿ

y = 3500 × 1.023⁴ⁿ

Thus, the function is \(y = 3500 \times 1.023^{4t}\).

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Answer:

b. (4,14)

Step-by-step explanation:

Juan earns $7 per hour at his job.

This means that the ordered pairs showing his earnings y in x hours, (x,y), have the following format:

(x,7x).

Then, the ordered pairs are:

(1,7)

(2,14)

(3,21)

(4,28)

...

Thus, the ordered pair (4,14) would not appear on the graphic.

Answer:

C. (2,6)

Step-by-step explanation:

Translate 2 units left and 4 units up: (x,y) -> (x-2 , y+4)

F (4,2) -> (4-2 , 2+4) -> (2 , 6)