What is the average rate of change of f(x) = f(x)=12x−7 from x=2 to x=10?
A. -8
B. -1/2
C. 1/2
D. 4

Answer:

A, C, D

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

.63 is different from .603

There would be 101.33 students the following year

From the question, we are to determine the number of students for the following year

From the given information,

There are 3 PA's for 38 students

If the ratio stays the same and

There were 8 PA's the following year, the number of students would be x

x = (8 × 38) / 3

x = 304 / 3

x = 101.33 students

Hence, there would be 101.33 students the following year

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According to Zaller's Receive-Accept-Sample (RAS) model, individuals who are most susceptible to the message of a political action committee launching a new advertisement aimed at expanding health insurance to low-income Americans through increased government funding would be those who both receive and accept the message.

The RAS model suggests that individuals have varying levels of political knowledge and are exposed to different sources of information. Those who are more likely to receive the message are individuals who are politically interested and engaged, while those who are more likely to accept the message are individuals who have limited political knowledge and are less critical of the information presented to them.

Therefore, in the context of the advertisement aiming to expand health insurance to low-income Americans, the most susceptible individuals would be those who are politically interested but have limited political knowledge. These individuals may be more likely to accept the message without critically evaluating its content.

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We have to find the area of the region between y=x^(1/2) and y=x^(1/3) for 0≤x≤1.

To find the area of the region between y=x^(1/2) and y=x^(1/3) for 0≤x≤1, we have to integrate x^(1/2) and x^(1/3) with respect to x. That is, Area = ∫0¹ [x^(1/2) - x^(1/3)] dx= [2/3 x^(3/2) - 3/4 x^(4/3)] from 0 to 1= [2/3 (1)^(3/2) - 3/4 (1)^(4/3)] - [2/3 (0)^(3/2) - 3/4 (0)^(4/3)]= 0.2857 square units

Therefore, the area of the region between y=x^(1/2) and y=x^(1/3) for 0≤x≤1 is 0.2857 square units. Note: The question  but the answer has been provided in the format requested.

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The probability that a randomly selected group of 16 individuals from the campus will be selected is 0.8023 or 80.23%

Based on the sign in the elevator of the college library, the limit of 16 persons and weight limit of 2,500 pounds need to be adhered to. To ensure compliance with both limits, we need to consider both the number of people and their weight.

Assuming that the distribution of weights of individuals on campus is approximately normal with an average weight of 155 pounds and a standard deviation of 29 pounds, we can use this information to estimate the total weight of a group of 16 randomly selected individuals.

The total weight of a group of 16 individuals can be estimated as follows:

Total weight = 16 x average weight = 16 x 155 = 2480 pounds

To determine if this total weight is within the weight limit of 2,500 pounds, we need to consider the variability in the weights of the individuals. We can do this by calculating the standard deviation of the total weight using the following formula:

Standard deviation of total weight = square root of (n x variance)

where n is the sample size (16) and variance is the square of the standard deviation (29 squared).

Standard deviation of total weight = square root of (16 x 29^2) = 232.74

Using this standard deviation, we can calculate the probability that the total weight of the group of 16 individuals is less than or equal to the weight limit of 2,500 pounds:

Z-score = (2,500 - 2,480) / 232.74 = 0.86

Using a standard normal distribution table or calculator, we can find that the probability of a Z-score less than or equal to 0.86 is approximately 0.8023.

Therefore, the probability that a randomly selected group of 16 individuals from the campus will comply with both the number and weight limits in the elevator of the college library is approximately 0.8023 or 80.23%.

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Marta's theory lacks practical significance or real-world applicability.

Marta's theory suggests that filling out a job application in crayon leads to a lower probability of being hired.

However, she mentions that almost nobody fills out an application in crayon.

This means that the finding or theory has no practical significance because it doesn't affect a significant number of people or have a real impact in real-world scenarios.

If the vast majority of job applicants do not use crayon to fill out their applications, Marta's theory becomes inconsequential because it doesn't provide any meaningful insight or guidance for job seekers.

The theory lacks practical significance because it doesn't have any practical implications or relevance in the context of job applications and hiring processes.

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Answer:

Neil Armstrong and Buzz Aldrin

Step-by-step explanation:

Fifty years after Neil Armstrong, Buzz Aldrin and Michael Collins became etched in history, the Apollo 11 mission remains an iconic moment in broadcasting. It's estimated that between 600-650 million people tuned in around the world to Armstrong and Aldrin's broadcast from the lunar surface on July 20, 1969.

The proof that shows that ΔPQR ~ ΔTSR  by the AA similarity theorem is shown below.

According to the AA similarity theorem, two triangles that have two pairs of corresponding congruent angles are said to be similar to each other.

Using this theorem, we can prove that triangles PQR and TSR are similar as shown in the proof below.

Statement                              Reason                                      

1. QR | PT                               1. Given

2. <QPR = <STR                    2. Given

3. <QRP and <SRT are right 3. Definition of perpendicular

angles

4. <QRP ≅ <SRT                     4. All right angles are ≅

5. ΔPQR ~ ΔTSR                     5. AA similarity theorem

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Answer:

whenever you do zoom, tell me

Step-by-step explanation:

Answer:

Therefore, the relationship given in the table is proportional. When we look at the above table when x gets increased, y also gets increased, so it is direct proportion. Substitute 2 for x and 1 for y. So, the constant of proportionality is 1/2.

Answer:

\(y=x+0.2x\)

Step-by-step explanation:

Step one:

given data

we are told that Dillon paid $x for a haircut.

and gave a tip of 20% of the amount he paid, this is expressed as

=20/100*x

=0.2x

Let the total amount he paid, that is haircut plus tip be y

the expression for the total amount is

\(y=x+0.2x\)

     here x represents the amount he paid

              0.2 represents 20% of the haircut

Answer:

Question 1172264: How old am I if 500 reduced by 4 times my age is 256? How old am I if 500 reduced by 4 times my age is 256? A is our age. 500 - 4A = 256.

Step-by-step explanation:

thank me later

The closest answer choice to 26.25 cm² is G. 16.5 cm².

What is area ?

Area is a measurement of the amount of space inside a two-dimensional figure, such as a square, rectangle, triangle, parallelogram, or circle. It is expressed in square units, such as square centimeters (cm²), square meters (m²), square inches (in²), or square feet (ft²).

Based on the given image, we can use the ruler to measure the dimensions of the parallelogram.

From the ruler, we can see that the base of the parallelogram is approximately 7.5 cm, and the height is approximately 3.5 cm. Therefore, the area of the parallelogram is:

Area = base x height

Area = 7.5 cm x 3.5 cm

Area = 26.25 cm² (rounded to the nearest 0.5 cm)

Among the answer choices provided, the closest one to the calculated area of the parallelogram is 26.5 cm², which is not provided in the answer choices.

Therefore, The closest answer choice to 26.25 cm² is G. 16.5 cm².

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1. The probability of selecting exactly one tank with high-viscosity material is 0.

2. The probability of selecting at least one tank with high-viscosity material is 1.

3. The probability of selecting exactly one tank with high-viscosity material and exactly one tank with high impurities is 0.25.

1. The probability of selecting exactly one tank with high-viscosity material is calculated by the binomial distribution formula, P(X = n) = (nCx)p^x(1-p)^n-x, where n is the number of trials, x is the number of successes, and p is the probability of success. In this case, n = 4, x = 1, and p = 24/24 = 1. Therefore, P(X = 1) = (4C1)1^1(1-1)^4-1 = 0.

2. The probability of selecting at least one tank with high-viscosity material is calculated by the complement rule, P(X > 0) = 1 - P(X = 0). In this case, P(X > 0) = 1 - (4C0)1^0(1-1)^4-0 = 1.

3. The probability of selecting exactly one tank with high-viscosity material and exactly one tank with high impurities is calculated by the binomial distribution formula, P(X = n) = (nCx)p^x(1-p)^n-x, where n is the number of trials, x is the number of successes, and p is the probability of success. In this case, n = 8, x = 2, and p = 24/24 = 1. Therefore, P(X = 2) = (8C2)1^2(1-1)^8-2 = 0.25.

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Answer:

5

Step-by-step explanation:

y=mx+b

m is the slope and b is the y intercept

The y intercept would be whatever the number is when the x is at 0

So the answer is 5

Answer:

B no it's not a function

Step-by-step explanation:

there has to be decrease and increase in the line

Answer:

97

Step-by-step explanation:

(a - 48) + a = a + 49

2a - 48 = a + 49

a = 97

We can do this because the angles of a triangle all add up to 180 and 2 angles of a line add up to 180.

Answer:

I think the answer you're looking for is 86400

Step-by-step explanation:

Answer:

Zavier would work an extra hour but would get off at the same time as Abigail so your answer is X+1

Step-by-step explanation:

Since we know that Abigail starts her workday an hour after Zavier then they both get off at the same time that means Zavier works another hour before Abigail starts work.

Hope this helps :)

Answer:

x is 21°

Step-by-step explanation:

The angles formed between the transversal t and lines m and n are; (8·x - 7)°, and (9·x - 28)°

Based on the similar location the angles are formed by the transversal, t, and lines m and n, the angles are corresponding angles

Given that lines, m and n are parallel, we have the corresponding angles formed by the transversal, t, and the lines are equal, therefore;

(8·x - 7)° = (9·x - 28)°

Simplifying the above equation to make x the subject, we get

(28 - 7)° = 9·x - 8·x = x

∴ 21° = x

x = 21°.

Answer:

empirical and topical

Step-by-step explanation:

starting points (empirical, topical) common grounds you locate between yourself and your composite audience that will allow you to build conviction toward your conclusion. Empirical Starting points: Dealing in certainty, concrete evidence.

Answer:

8n+7

Step-by-step explanation:

Answer:

$2.50

Step-by-step explanation:

Because you got 6 avocados for 15 dollars so you divide 15/6 to find out each unit cost for the avocados

Answer:

it's 42

Step-by-step explanation:

6 7's

6 12 28 24 30 36 42

The coordinate ( 4, 40 ) on the attached graph shows option B. 4 tickets for $40.                                                                                            

In the attached graph,

The x- axis represents the number of tickets sold.

And the y-axis represents the price of tickets in dollars.

The value on the x-axis are having one step difference.

And the value of y-axis is having 10 step difference.

Based on the point ( 4, 40 ) presents the graph the analysis is,

Coordinate 4 on x-axis represents the number of tickets sold.

And Coordinate 40 on y-axis represents the price of number of tickets sold.

This means that if someone buys 4 tickets, the total cost will be $40.

Therefore, based on the graph the point (4, 40) represents option B. 4 tickets for $40.                                                                                                                                                    

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The above question is incomplete, the complete question is:

A high school band is selling tickets to its concert. The ticket prices are shown in the graph below.

Based on the graph, what does the point (4,40) represent?

Attached with graph.

a. the probability that a nozzle will take more than 6 days to manufacture and test is 0.9722. b. the probability that exactly 2 out of 6 nozzles take more than 6 days to manufacture and test is 0.0036. c. the expected time to complete the manufacturing and testing of an engine nozzle is 4 days.

(a) The formula for the CDF of X is:

F(x) = ∫f(t)dt from 4 to x, and 0 for x < 4

Since the PDF is 0 for x < 4, we only need to calculate the integral for x ≥ 4:

F(x) = ∫32/t^3 dt from 4 to x

= [-16/t^2] from 4 to x

= 16/16 - 16/x^2

= 1 - 1/x^2

To find Pr(X > 6), we can simply evaluate the CDF at x = 6 and take the complement:

Pr(X > 6) = 1 - F(6) = 1 - (1 - 1/6^2) = 0.9722

Therefore, the probability that a nozzle will take more than 6 days to manufacture and test is 0.9722.

(b) The probability that exactly 2 of 6 nozzles take more than 6 days to manufacture and test can be calculated using the binomial distribution:

Pr(exactly 2 out of 6 take more than 6 days) = 6C2 (0.9722)^2 (1 - 0.9722)^4 = 0.0036

Therefore, the probability that exactly 2 out of 6 nozzles take more than 6 days to manufacture and test is 0.0036.

(c) The expected value of X can be calculated using the formula:

E(X) = ∫x f(x) dx from 4 to infinity

Substituting the given PDF, we get:

E(X) = ∫4 to infinity 32x / x^3 dx

= 16 ∫4 to infinity 1/x^2 dx

= 16 [-1/x] from 4 to infinity

= 16/4

= 4

Therefore, the expected time to complete the manufacturing and testing of an engine nozzle is 4 days.

(d) The expected payment for a nozzle can be calculated using the formula:

E(1/X) = ∫(1/x) f(x) dx from 4 to infinity

Substituting the given PDF, we get:

E(1/X) = ∫4 to infinity (32/x^4) dx

= (-32/3x^3) from 4 to infinity

= 32/3(4^3)

= 32/3 * 64

= 682.67 thousand dollars

Therefore, the expected payment for a nozzle is 682.67 thousand dollars.

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The solutions to the system of equations are: y=2, x=0.

What is equations?

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

\($$\left[\begin{array}{c}y=3 x+2 \\y=-2 x+2\end{array}\right]$$\)

Substitute \($y=-2 x+2$\)

\($$[-2 x+2=3 x+2]$$\)

Isolate x for \($-2 x+2=3 x+2: \quad x=0$\)

For\($y=-2 x+2$\)

Substitute \($x=0$\)

\($$y=-2 \cdot 0+2$$\)

Simplify

y=2

The solutions to the system of equations are: y=2, x=0.

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The solutions to the system of equations are: y=2, x=0.

What is equations?

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

\($$\left[\begin{array}{c}y=3 x+2 \\y=-2 x+2\end{array}\right]$$\)

Substitute y=-2 x+2

[-2 x+2=3 x+2]

Isolate \($\mathrm{x}$\) for \($-2 x+2=3 x+2: \quad x=0$\)

Fory =-2 x+2

Substitute x=0

\(y=-2 \cdot 0+2\)

Simplify

y=2

The solutions to the system of equations are: y=2, x=0.

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Answer:

A

Step-by-step explanation: