Find the product and simplify your answer.
-9x2(-3x5 + 5x - 5)
W

Answer: 35%

Step-by-step explanation:

The area of the Heptagon is 32.6

What is Heptagon?

A polygon having 7 sides and 7 angles are called a heptagon. The term "septagon" may also be used to refer to the heptagon. A heptagon is formed when all of its sides come together end to end. Therefore,

The heptagon's sides total seven.

What Is Meant by Apothem?

Apothem is a line traced from any polygon's center to one of its sides' midpoints.

The apothem formula, when the side length is given is:

\(a=\frac{S}{2 \tan \left(\frac{180}{n}\right)}\)

Where,

a = apothem length

s = side length

n = number of sides of a polygon.

In the given question,

we have;

s = 7 inches;

a = 3 inches;

n = 7;

So,

The apothem, when the side length is given is:

\(a=\frac{S}{2 \tan \left(\frac{180}{n}\right)}\)

\(a=\frac{3}{2 \tan \left(\frac{180}{7}\right)}\)

so, The area of Heptagon is 7.\(\frac{3.7}{2}\)

The area of the Heptagon is 32.6

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Answer:

??????????

Step-by-step explanation:

Answer:

me too tbh

Step-by-step explanation:

Answer:

Y= x+2

Step-by-step explanation:

The x value is always adding 2 to get the y value

1+2=3

2+2=4

3+2=5

4+2=6

5+2=7

Therefore your answer is y = x + 2

Hope this helps!

Answer:

2

Step-by-step explanation:

y = x + c

Put x as 1, and y as 3 and solve for c.

3 = 1 + c

3 - 1 = c

2 = c

Joe can afford a car loan of approximately $12,944.

To determine the loan amount Joe can afford, we need to calculate the present value of the continuous monthly payments he can make. Joe can pay $360 per month for 4 years, which amounts to a total of 4 * 12 = 48 payments.

The formula to calculate the present value of continuous payments is given by:

PV = (PMT / r) * (1 - e^(-rt))

Where:

PV is the present value of the continuous payments,

PMT is the monthly payment amount,

r is the annual interest rate, and

t is the loan term in years.

Substituting the given values, we have:

PMT = $360,

r = 0.125 (12.5% expressed as a decimal),

t = 4.

Plugging in these values, we can calculate the present value:

PV = (360 / 0.125) * (1 - e^(-0.125 * 4))

Using a calculator or spreadsheet, we find that the present value is approximately $12,944. Therefore, Joe can afford a car loan of approximately $12,944 and still make monthly payments of $360 for 4 years.

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The measure of angle OCD from the given figure is 58°.

Given that, the points A, B, C and D lie on a circle Centre O.

A circle is a two-dimensional figure formed by a set of points that are at a constant or at a fixed distance (radius) from a fixed point (center) on the plane. The fixed point is called the origin or center of the circle and the fixed distance of the points from the origin is called the radius.

Here, OC and OB are radius of a circle, then BOC is isosceles triangle

Now, ∠BOC+∠OBC+∠OCB=180°

50°+∠OBC+∠OBC=180°

⇒ 2∠OBC=130°

⇒ ∠OBC=65°

Here, ∠OCD=∠BCD-65°

⇒ x=123-65=58°

Hence, the measure of angle OCD from the given figure is 58°.

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The number of students should be invited to a party to make sure that ap least two of them have the same initials are equals to the 677 (students).

The solution of this problem is obtained by using the pigeonhole principle, which states if there are N boxes and N+1 pigeons, at least two pigeons must be in the same box. We have to determine the number of students invited in party to make make sure that at least two of them have the same initials. Now, first we figure out what N is to solve the problem. Here, box for this problem is labelled by first and last initials. If we are using the A-Z alphabet, then there are 26×26 = 676 possible sets of initials.

As soon as there are N+ 1 or 677 people, at least two must have the same first and last initials. Hence, required value is 677.

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Answer:

x=1

i hope this helps!

Step-by-step explanation:

x+2/-1 =3

x+2 (1) =3

x+2 = 3

x=1

The media's role in deciding the participants and timing of political debates is known as gatekeeping.

The media acts as gatekeepers when they have the authority to determine which candidates or parties are allowed to participate in political debates and when these debates take place. This role involves making decisions regarding the inclusion or exclusion of candidates based on various factors such as popularity, polling numbers, party affiliation, and public interest. Additionally, the media has the power to influence the timing and format of the debates, which can impact the visibility and reach of the participants.

The gatekeeping role of the media in political debates carries significant importance as it shapes public access to information and influences public opinion. By selecting certain candidates or parties for participation, the media can impact the exposure and visibility of political actors, potentially influencing their chances of success in elections. Furthermore, the media's decisions regarding the timing and format of debates can determine the extent of public engagement and scrutiny.

However, the media's gatekeeping role also raises concerns about bias, fairness, and the potential exclusion of alternative or marginalized voices. The media's decisions in selecting debate participants and setting the debate schedule can impact the democratic process by influencing the public's access to diverse perspectives and the ability of candidates to present their platforms.

Overall, the media's gatekeeping role in political debates plays a crucial role in shaping public discourse and influencing electoral outcomes, emphasizing the need for responsible and impartial decision-making to ensure a fair and inclusive democratic process.

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Answer:

-8x

Step-by-step explanation:

Multiply -8 and x so it is -8x

Based on the given information, person C would take 600 minutes to finish the job by himself.

Let's break down the steps to find out how long it would take person C to finish the job by himself.

1. Determine the rate at which person A completes the job. We can find this by dividing the total job by the time it takes person A to complete it: 1 job / 100 minutes = 1/100 job per minute.

2. Similarly, determine the rate at which person B completes the job: 1 job / 120 minutes = 1/120 job per minute.

3. When person A and person B work together, we can add their rates to find the combined rate: (1/100 job per minute) + (1/120 job per minute) = (12/1200 + 10/1200) = 22/1200 job per minute.

4. After 40 minutes of working together, person C joins them, and together they finish the job in an additional 10 minutes. So the total time they take together is 40 minutes + 10 minutes = 50 minutes.

5. Calculate the total job done by person A and person B working together: (22/1200 job per minute) * (50 minutes) = 22/24 = 11/12 of the job.

6. Since person C helped complete 11/12 of the job in 50 minutes, we can calculate the rate at which person C works alone by dividing the remaining 1/12 of the job by the time taken: (1/12 job) / (50 minutes) = 1/600 job per minute.

7. Now we can find how long it would take person C to finish the job by himself by dividing the total job (1 job) by the rate at which person C works alone: 1 job / (1/600 job per minute) = 600 minutes.

Therefore, it would take person C 600 minutes to finish the job by himself.


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It would take c approximately 3.75 minutes to finish the job by himself. To find out how long it would take c to finish the job by himself, we need to first calculate how much work a and b can do together in 40 minutes.

Since a can finish the job in 100 minutes, we can say that a completes \(\frac{1}{100}\)th of the job in 1 minute. Similarly, b completes \(\frac{1}{120}\)th of the job in 1 minute.

So, in 40 minutes, a completes \(\frac{40}{100}\) = \(\frac{2}{5}\)th of the job, and b completes \(\frac{40}{120}\) = \(\frac{1}{3}\)rd of the job.

Together, a and b complete 2/5 + 1/3 = 6/15 + 5/15 = 11/15th of the job in 40 minutes.

Since a, b, and c complete the entire job in an additional 10 minutes, we can subtract 11/15th of the job from 1 to find out how much work c did in those 10 minutes. This comes out to be 1 - 11/15 = 4/15th of the job.

Therefore, c can complete 4/15th of the job in 10 minutes.

To find out how long it would take c to complete the whole job by himself, we can set up a proportion:

    (4/15) / x = 1 / 1

Cross-multiplying gives us:

    4x = 15

=> x = 15/4 = 3.75 minutes.

Therefore, it would take c approximately 3.75 minutes to finish the job by himself.

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The limit of a sequence is the value that the terms of the sequence approach as the index (or position) of the terms becomes arbitrarily large. It represents the behavior of the sequence in the long run.

find the limit of the sequence with the given nth term, an = 7n + 4 - 7n.

First, let's simplify the nth term:

an = 7n + 4 - 7n
an = 7n - 7n + 4
an = 0 + 4
an = 4

Now that we have simplified the nth term, we can see that the sequence is a constant sequence, where all the terms are equal to 4. To find the limit of a constant sequence, we simply look at the value of the constant term.

In this case, the limit of the sequence as n approaches infinity is equal to the constant term, 4.

So, the limit of the sequence with the given nth term is 4.

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Answer:

−28 + 12 − 28

Step-by-step explanation:

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1. 14w - 3w

Variable term: 14w, -3w

Constant term: None

Coefficient: 14, -3

2. -2a + 9 - 5a

Variable term: -2a, -5a

Constant term: 9

Coefficient: -2, -5

3. 8m - 2 - 10 + m

Variable term: 8m, m

Constant term: -2, -10

Coefficient: 8, 1

4. -2p - 17 + 6p - p + 4

Variable term: -2p, 6p, -p

Constant term: -17, 4

Coefficient: -2, 6, -1

5. 14x - 3y + 5y - 26 - 7x

Variable term: 14x, -3y, 5y, -7x

Constant term: -26

Coefficient: 14, -3, 5, -7

6. -6C + 18 - 15d + C - 11 - 3c

Variable term: -6C, -15d, C, -3c

Constant term: 18, -11

Coefficient: -6, -15, 1, -3

In each expression, variable terms are the terms that contain variables (letters representing unknowns), constant terms are the terms that do not contain variables, and coefficients are the numbers multiplying the variables. Let's identify the variable terms, constant terms, and coefficients for each expression:

In each expression, the variable terms consist of the terms containing variables, the constant terms are the terms without variables, and the coefficients are the numbers multiplying the variables.

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The correct statement is:

A. The sample distribution of the sample mean (n=200) has a bell shape. c. The sample distribution of the sample mean (n=20) is bell-shaped.

The sampling distribution of the sample mean refers to the distribution of the mean obtained from repeated random samples drawn from the population. The central limit theorem states that for sufficiently large sample sizes (usually n ≥ 30), the sampling distribution of the sample mean is approximately bell-shaped, regardless of the shape of the distribution of the population. Statement a states that the sample size is n=200, which is considered large. Therefore, according to the central limit theorem, the sampling distribution of the sample mean is actually bell-shaped.

Statement b does not specify the data distribution, so no guesses can be made about its shape.

For statement c, the sample size is relatively small with n = 20. The central limit theorem suggests that if the population distribution is bell-shaped or not extremely skewed, then even with small sample sizes the sampling distribution of the sample mean is still roughly bell-shaped. Therefore, in this case, the sampling distribution for the sample mean (n = 20) is also roughly bell-shaped.

Finally, the statement d is not necessarily true because the population data distribution is described as being right-skewed. Do not expect the data distribution to be bell-shaped, especially if the population distribution itself is skewed to the right. 

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Answer:

x = 27

Step-by-step explanation:

The sum of the angles of a triangle is 180.

180 = 105 + 48 + x

x = 180 - (105 +48)

x = 180 - 153

x = 27 degrees

There is a relative maximum at t1 ≈ 19.579 and a relative minimum at t2 ≈ 9.245.

To find the relative extrema of the power function P(t), we need to determine the critical points where the derivative of P(t) is equal to zero or does not exist. The critical points correspond to the times when the power usage reaches a maximum or minimum.

First, let's find the derivative of P(t) with respect to t:

P'(t) = -0.018015t² + 0.3732t - 0.7002

To find the critical points, we need to solve the equation P'(t) = 0:

-0.018015t² + 0.3732t - 0.7002 = 0

We can solve this quadratic equation using the quadratic formula:

t = (-0.3732 ± √(0.3732² - 4*(-0.018015)*(-0.7002))) / (2*(-0.018015))

Simplifying the equation:

t = (-0.3732 ± √(0.13897744 - 0.050421096)) / (-0.03603)

t = (-0.3732 ± √0.088556344) / (-0.03603)

t = (-0.3732 ± 0.297593) / (-0.03603)

Now, we can calculate the values of t for the two solutions:

1. t1 = (-0.3732 + 0.297593) / (-0.03603) ≈ 19.579

2. t2 = (-0.3732 - 0.297593) / (-0.03603) ≈ 9.245

We have two potential critical points: t1 ≈ 19.579 and t2 ≈ 9.245.

Next, we need to determine whether these points are relative maxima or minima. To do this, we'll evaluate the second derivative of P(t) at these points:

P''(t) = -0.03603t + 0.3732

For t1 ≈ 19.579:

P''(t1) = -0.03603(19.579) + 0.3732 ≈ -0.356

For t2 ≈ 9.245:

P''(t2) = -0.03603(9.245) + 0.3732 ≈ 0.00043

Analyzing the results:

1. At t1 ≈ 19.579, P''(t1) ≈ -0.356. Since the second derivative is negative, the function is concave down at this point, indicating a relative maximum.

2. At t2 ≈ 9.245, P''(t2) ≈ 0.00043. The second derivative is positive, implying the function is concave up, which suggests a relative minimum.

Therefore, there is a relative maximum at t1 ≈ 19.579 and a relative minimum at t2 ≈ 9.245.

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Answer:  \(x^3-x^2\)

This is the same as writing x^3-x^2

==============================================

Explanation:

We divide the two given polynomials. We can apply synthetic division.

The numerator polynomial is \(x^4+3x^3-4x^2\) which is the same as \(1x^4+3x^3-4x^2+0x+0\)

The sequence of coefficients are: {1,3,-4,0,0}. Those coefficients will be used to set up the synthetic division table in the top row.

The denominator polynomial x+4 means -4 is the test root since it's the solution to x+4 = 0. This -4 goes to the upper left corner.

Check out the diagram below.

The yellow cell in the bottom row represents the remainder. Everything else in the bottom row are coefficients to the quotient polynomial. The coefficients {1,-1,0,0} means we get \(1x^3-1x^2+0x+0\) which simplifies to \(x^3-x^2\) and that's the final answer.

-------------------

Let's check the answer. Multiplying \((x+4)\) with \((x^3-x^2)\) should get us \(x^4+3x^3-4x^2\)

Let's see if that happens.

\((x+4)(x^3-x^2)\\\\y(x^3-x^2) \ \text{ ... where } y = x+4\\\\x^3*y-x^2*y\\\\x^3*(x+4)-x^2*(x+4)\\\\x^3*x+x^3*4-x^2*x-x^2*4\\\\x^4+4x^3-x^3-4x^2\\\\x^4+3x^3-4x^2\\\\\)

We get the proper product we're after, so the answer is confirmed.

Basically we were given expressions for A and B and computed C = A/B to get the final answer C. This check section is us computing A = BC to confirm the answer.

\(\longrightarrow{\green{F=5000 \: N}}

\)

The given mathematical expression is evaluated for the input values (2, 4). The result of the expression is calculated using various operations such as addition, multiplication, square root, natural logarithm, minimum, maximum, and function composition.

The expression f(x1, x2) involves several mathematical operations. Let's evaluate each part of the expression step by step:

1. The first term is 421 + 222, which equals 643.

2. The second term is 3x² + 213. Plugging in x1 = 2 and x2 = 4, we get 3(2)² + 213 = 3(4) + 213 = 12 + 213 = 225.

3. The third term is 5x11². Substituting x1 = 2 and x2 = 4, we have 5(2)(11)² = 5(2)(121) = 1210.

4. The fourth term is (√₁+√₂)². Replacing x1 = 2 and x2 = 4, we obtain (√2 + √4)² = (1 + 2)² = 3² = 9.

5. The fifth term is 10ln(₁). Plugging in x1 = 2, we have 10ln(2) = 10 * 0.69314718 ≈ 6.9314718.

6. The sixth term is (x₁+x₂)(x² + x3). Substituting x1 = 2 and x2 = 4, we get (2 + 4)(2² + 4³) = 6(4 + 64) = 6(68) = 408.

7. The seventh term is min(3r1, 10√2). As we don't have the value of r1, we cannot determine the minimum between 3r1 and 10√2.

8. The eighth term is max{5x1,2r2}. Since we don't know the value of r2, we cannot find the maximum between 5x1 and 2r2.

9. Finally, we have MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2), which are not defined or given.

Considering the given expression, the evaluated terms for the input values (2, 4) are as follows:

- 421 + 222 = 643

- 3x² + 213 = 225

- 5x11² = 1210

- (√₁+√₂)² = 9

- 10ln(₁) ≈ 6.9314718

- (x₁+x₂)(x² + x3) = 408

The terms involving min() and max() cannot be calculated without knowing the values of r1 and r2, respectively. Additionally, MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2) are not defined.

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a. Mason's error is that he flipped the inequality sign. The correct solution is x > 6.

b. This indicates that any value of x greater than 6 (but not equal to 6) will satisfy the inequality x > 6.

An inequality is a mathematical statement that compares two values or expressions using inequality symbols such as "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "≠" (not equal to). Inequalities can be used to describe a range of values that a variable can take, rather than just a single value.

a. Mason's error is that he flipped the inequality sign. The correct solution is x > 6.

b. To show the correct solution on the number line, we start by marking 6 on the number line with an open circle (since x is not equal to 6). Then, we shade the area to the right of 6, because x is greater than 6. The graph should look like this:

0 1 2 3 4 5 6o 7 8 9

--------

shaded

This indicates that any value of x greater than 6 (but not equal to 6) will satisfy the inequality x > 6.

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Answer:

Step-by-step explanation:

a(n) = a(1) + (n-1)d

a(n) = -9 + (n-1) x (-6-(-9)

a(n) = -9 + (n-1) x (-6 +9)

a(n)=  -9 + (n-1) x 3

a(n) = -9 + 3n - 3

a(n) = 3n - 12

a(30) = 3 x 30 - 12

a(30) = 90 - 12

a(30) = 78

The effective annual rate (EAR) of a bank account that pays daily interest with an APR of 4.5% is 4.67%.

The EAR is calculated using the following formula:

\(\begin{equation}EAR = (1 + \frac{APR}{n})^n - 1\end{equation}\)

Where:

EAR is the effective annual rate

APR is the annual percentage rate

n is the number of compounding periods per year

In this case, the APR is 4.5% and the number of compounding periods per year is 365. Plugging these values into the formula, we get:

\(\begin{equation}EAR = (1 + \frac{0.045}{365})^{365} - 1\end{equation}\)

EAR = 4.67%

Therefore, the EAR is 4.67%. This means that if you deposit $100 in an account that pays daily interest with an APR of 4.5%, you will have $104.67 at the end of the year.

It is important to note that the EAR is always higher than the APR. This is because compounding allows you to earn interest on your interest. For example, if you deposit $100 at an APR of 4.5%, you will earn $4.50 in interest in one year.

However, if your account compounds daily, you will earn interest on the interest that you earn each day. This means that you will earn more than $4.50 in interest in one year.

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Answer:

3.7 degrees

Step-by-step explanation:

98.8-32 = 66.8

66.8/18 = 3.7 degrees

To find the surface area of the figure, we need to consider the individual surfaces and add them together.

First, let's identify the surfaces of the figure:

The lateral surface area of the larger prism (excluding the base)

The two bases of the larger prism

The lateral surface area of the smaller prism (excluding the base)

The two bases of the smaller prism

The lateral surface area of a prism is given by the formula: perimeter of the base multiplied by the height.

The bases of the prisms are rectangles, so their areas can be calculated by multiplying the length by the width.

To find the missing prism's surface area, we need to consider that it is a smaller prism nested inside the larger prism. The lateral surface area and bases of the missing prism should also be included.

Once we have calculated the individual surface areas, we add them together to find the total surface area of the figure.

Without specific measurements or dimensions of the figure, it is not possible to provide a numerical answer. Please provide the necessary measurements or dimensions to calculate the surface area.

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If Circle K has a radius of 8 inches. The figure that is closest to the length of FA is: 14.8.

MAC=1/2×360°=180°

mΔAFC=1/2×180°=90°

Circumference angle theorem

AK=8

AC=2

AK=16

Pythagorean theorem

FA²+FC²=AC²

Substitution

FA²+6²=16²

FA²+36=256

FA²=√220

FA=14.8

Therefore the figure that is closest to the length of FA is: 14.8.

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Step-by-step explanation:

5x + 2y = 10

2x + y = 2, 4x + 2y = 4.

Therefore (5x + 2y) - (4x + 2y) = 10 - 4, x = 6.

=> 2(6) + y = 2, y = -10.

The solutions are x = 6 and y = -10.

In a report of a quantitative research study, a nurse would expect to find the gaps or conflicts about the phenomenon being studied to be identified in: D. Review of the literature.

A research report can be defined as a publication that is used by a researcher to provide data about a research work after analyzing the information gathered on a particular subject, especially in a summarized or condensed format..

In Science, there are three main types of research report and these include the following:

A review of the literature is also referred to as literature review and it is typically used by a researcher to describe what's known and what isn't known about a phenomenon that is being studied.

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Complete Question:

Where in a report of a quantitative research study would a nurse researcher expect the gaps or conflicts about the phenomenon studied to be identified?

a. Analysis of data

b. Research design

c. Problem statement

d. Review of the literature