What is the product of 180 and 170? HELP

Life Insurance Corporation (LIC) issued a policy in his favor charging a lower premium than what it should have charged if the actual age had been given. the optimal solution of the primal problem is (x1,x2,x3)=(5,0,10) and the objective function value is 45,000.

The optimal value of the given LP problem is 45,000. In this problem,  x1 = 5,

x2 = 0 and

x3 = 10.

Therefore, the objective function value = 7x1 + 5x2 + 9x3 will be 45,000, which is the optimal value.

problem is Minimize z = 7x1 + 5x2 + 9x3

subject to the constraints: i. 2x1 + x2 – 0.5x3 ≤ 5ii. 0.9x1 - 0.1x2 - 0.1x3 ≤ 10iii. x1 ≤ 14iv. x2 ≤ 20v. x3 ≤ 10vi. 3x1 + x2 + 2x3 ≤ 50

Duality: Maximize z = 5y1 + 10y2 + 14y3 + 20y4 + 10y5 + 15,000y6

subject to the constraints:2y1 + 0.9y2 + y3 + 3y6 ≥ 7y1 - 0.1y2 + y4 + y6 ≥ 0.5y1 - 0.1y2 + y5 + 2y6 ≥ 0y3, y4, y5, y6 ≥ 0 Now, we will solve the dual problem using the Simplex method. Using Excel Solver, As per complementary slackness theorem, the value of the objective function of the dual problem = 45,000, which is same as the optimal value of the primal problem. Therefore, the optimal solution of the primal problem is (x1,x2,x3)=(5,0,10) and the objective function value is 45,000.

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Part A: An exponential function is one in which the variable appears in the exponent, such as f(x) = aˣ. The common ratio of an exponential function is the constant factor by which the function grows or decays.

For example, in the function f(x) = 2ˣ, the common ratio is 2 because each time x increases by 1, the output of the function doubles. Part B: To find the average rate of change for the function h(x) over the interval 2 ≤ x ≤ 4, we need to calculate the slope of the secant line between the two endpoints of the interval.

The formula for slope is (y2 - y1)/(x2 - x1), where (x1, y1) and (x2, y2) are two points on the line. So, we need to find h(2) and h(4) and plug them into the formula. Let's say that h(x) = 3x - 1. Then, h(2) = 5 and h(4) = 11.

Therefore, the slope of the secant line is (11 - 5)/(4 - 2) = 3.
The average rate of change for the function h(x) over the interval 2 ≤ x ≤ 4 is 3.

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The answer to the statement of the variable yield ordinal data is A. Yes, because the data are ordered in some way.

Ordinal data is a type of data that has a natural order or ranking among its values. In other words, the data can be arranged in a meaningful order or sequence such as low to high, best to worst, or A to F.

The given variable yields ordinal data because the data is ordered in some way. It can be ranked based on the given scale, which implies that one value is greater than or less than another value in a meaningful way. Therefore, option A is correct.

In summary, ordinal data is a type of data that can be ordered or ranked in a meaningful way. The given variable fits the definition of ordinal data because it has values that are ordered in some way, either numerically or alphabetically. Option A correctly identifies this characteristic of ordinal data.

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The definition of percent helps you write fraction and decimal equivalents by understanding that "per cent" means "per hundred".

For example, if you are asked to write the fraction and decimal equivalent of 25%, you would divide 25 by 100 to get the fractional equivalent of ¼, and divide 25 by 100 to get the decimal equivalent of 0.25.

The decimal equivalent of a fraction or percentage is the numerical value expressed in decimal form. For example, the decimal equivalent of 1/2 is 0.5 and the decimal equivalent of 25% is 0.25. Decimal equivalents are useful for calculations and can be used to convert fractions and percentages into decimal form.

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The long run behavior of the function f(x)=5(2)x+1 is that it approaches 1 as x approaches negative infinity and it approaches infinity as x approaches positive infinity.

The long-term behavior of the function f(x)=5(2)x+1 can be discovered by examining how the function behaves as x gets closer to negative and positive infinity.

As x→−[infinity], f(x) = 5(2)^ -∞+1 = 5(0)+1 = 1

As x approaches negative infinity, the value of the function approaches 1.

As x→[infinity], f(x) = 5(2)^ ∞+1 = 5(∞)+1 = ∞

As x approaches positive infinity, the value of the function approaches infinity.

As a result, the function f(x)=5(2)x+1 behaves in the long run in such a way that it approaches 1 as x approaches negative infinity and infinity as x approaches positive infinity.

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The horizontal distance traveled by the football is 15 yards.

To find the horizontal distance traveled by the football, we need to determine the range of values for which the equation y = -4/15(x-20)(x-35) is valid.

The equation y = -4/15(x-20)(x-35) represents a parabolic path, and the x-axis represents the ground.

The horizontal distance traveled by the football can be determined by finding the x-values where y = 0, which correspond to the points where the football intersects the ground.

Setting y = 0 in the equation, we have:

0 = -4/15(x-20)(x-35)

Since the product of two factors is zero if and only if at least one of the factors is zero, we can set each factor to zero and solve for x:

x - 20 = 0 or x - 35 = 0

Solving these equations, we find:

x = 20 or x = 35

Therefore, the football intersects the ground at x = 20 and x = 35.

To find the horizontal distance traveled by the football, we can subtract the smaller x-value from the larger x-value:

Horizontal distance = (larger x-value) - (smaller x-value)

= 35 - 20

= 15 yards

So, the horizontal distance traveled by the football is 15 yards.

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Answer:

Step-by-step explanation:

Cuz if the latter is 34 it`s close to the house how can he can`t touch the house if he didn`t touch a house or anything he will fall.

Step-by-step explanation:

Substitute n = 4 into the expression:

\(2(4)-7\)

Solve:

\(8-7\)

\(1\)

Substitute n = 4 into the expression:

\(3(4)^{2} +2(4)-5\)

Solve:

\(48+8-5\)

\(56-5\)

\(51\)

Substitute n = 4 into the expression:

Is the expression \(-n^{3} ?\)

\(-4^{3}\)

Multiply:

\(-4 \times -4 \times -4= -64\)

Answer:

slope = -1

Step-by-step explanation:

First, you need to know the slope formula: y2 - y1

                                                                       x2 - x1

Now recognize the first point (-2,3) as (x1,y1) and the second point (2,-1) as (x2,y2)

Now that you have done that, plug in the numbers into the slope equation.

Which should look like this:      -1 - 3

                                                   2 - -2

Now that your equation looks like this, recognize the denominator, we should know that a negative plus a negative equals a positive. So instead of subtracting the denominator of the equation, we are going to add the two numbers together, because x1 is negative. Now solve, you should get the answer -1.

                       -1 - 3                        -4    = -1

                       2 + 2                        4

Hope this was helpful!

Throughout my studies in media and current events, I have gained several major learnings that have shaped my understanding of the subject matter.

These include the importance of media literacy and critical thinking, the power and influence of social media, the role of bias in news reporting, the significance of ethical journalism, and the impact of media on shaping public opinion.

1. Media Literacy and Critical Thinking: One of the most crucial learnings is the importance of media literacy and critical thinking skills. It is essential to analyze and evaluate the information presented by media sources, considering their credibility, bias, and potential agenda. Developing these skills enables individuals to make informed judgments and avoid misinformation or manipulation.

2. Power and Influence of Social Media: Another significant learning is recognizing the power and influence of social media in shaping public opinion and disseminating news. Social media platforms have become prominent sources of information, but they also pose challenges such as the spread of fake news and echo chambers. Understanding the impact of social media is crucial for both media consumers and producers.

3. Role of Bias in News Reporting: Media bias is an important factor to consider when consuming news. I have learned that media outlets may have inherent biases, influenced by their ownership, political affiliations, or target audience. Recognizing these biases allows for a more balanced and critical understanding of news content, and encourages seeking diverse perspectives.

4. Significance of Ethical Journalism: Ethics play a fundamental role in responsible journalism. I have learned about the importance of principles such as accuracy, fairness, and accountability in reporting news. Ethical journalism promotes transparency and ensures the public's trust in the media, contributing to a well-informed society.

5. Impact of Media on Shaping Public Opinion: Lastly, I have learned that the media holds a significant role in shaping public opinion and influencing societal attitudes. Through various forms of media, such as news coverage, documentaries, or entertainment, narratives are constructed that can sway public perception on issues ranging from politics to social matters. Recognizing this influence is crucial for media consumers to engage critically with the information they receive and understand the potential impact it can have on society.

These five major learnings have provided me with a comprehensive understanding of media and current events, enabling me to navigate the vast landscape of information and make more informed judgments about the media I consume. They highlight the importance of media literacy, critical thinking, understanding bias, ethical journalism, and the impact media has on public opinion, ultimately contributing to a more well-rounded and discerning approach to media consumption.

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Answer:

a=5 and b=9

Step-by-step explanation:

(x, y) = (s, t) => x=s and y=t

Hence, a+3=b-1 and b-2=2a-3, solving we get a=5 and b=9

Answer:

540 CM

Step-by-step explanation:

The perimeter means the sum of the distance around a particular shape

1M=100 CM

2M=200 CM

200+60+80+100+100=540CM

The given set of data has a mean of 3.76 and a standard deviation of 4.97. We need to find the z-score for a value of 13.84.How to calculate the z-score The z-score is calculated using the formula:

z = (x - μ) / σWhere x is the value for which we need to find the z-score, μ is the mean, and σ is the standard deviation. Substituting the given values in the above formula, we get

z = (13.84 - 3.76) / 4.97z = 2.02 (approx) Therefore, the z-score for a value of 13.84 is approximately equal to 2.02.Note:In statistical inference, a Z-score is the number of standard deviations from the mean a data point is. With the help of Z-score, we can also find the probability that the data point would occur within the given population.

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In a post office, the mailboxes are numbered from 1 to 4,500. These numbers represent categorical data. The Option A is correct.

Categorical data refers to collection of data that is organized into categories. For instance, the data obtained when an organization or agency tries to collect the biodata of its employees is referred to as categorical data. Because the variables in the biodata, like sex, state of residence, etc., can be used to categorize the data, it is known as categorical data.

It is also regarded as a type of data that can be categorized or grouped using names or labels. Through a process known as matching, this grouping is typically created in accordance with the data characteristics and similarities of these characteristics.

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By expanding the terms of the series and simplifying, we can write the Maclaurin series of f(x) = e^(-x/2) in summation notation.

To find the Maclaurin series of the function f(x) = e^(-x/2), an appropriate series in Section 6.1 can be used. The Maclaurin series representation of f(x) can be written in summation notation.

The Maclaurin series is a way to represent a function as an infinite sum of terms involving powers of x. In this case, we want to find the Maclaurin series for the function f(x) = e^(-x/2).

One appropriate series in Section 6.1 that can be used is the Taylor series expansion for the exponential function, which is e^x = Σ (x^n/n!), where Σ denotes the summation notation, n represents the term number, and n! denotes the factorial of n.

To find the Maclaurin series of f(x) = e^(-x/2), we substitute -x/2 for x in the Taylor series for e^x. Therefore, the Maclaurin series representation of f(x) can be written as Σ ((-x/2)^n/n!).

By expanding the terms of the series and simplifying, we can write the Maclaurin series of f(x) = e^(-x/2) in summation notation.

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Step-by-step explanation:

isidhxibdofeixeosgzifisvsoshzibdihddgd

Answer:

10x13=130 20x13=260 260-130=130

Step-by-step explanation:

I used a calucaltor I hope this helps :)

Main Answer: The rate at which the radius is increasing is 1/3 m/min when the volume is 36πm³.

Supporting Explanation: Given that the volume of the spherical balloon is increasing at the rate of 5 m³/min and the volume of the balloon is given as 36π m³.The volume of the balloon is given by v = 4πr³ / 3. Therefore, 4πr³ / 3 = 36π. This gives the radius of the balloon as: r = cuberoot(27) = 3m.Then, differentiating the volume equation with respect to time, t, we get: dv/dt = 4π(3r²)dr/dt. Rearranging the above equation, we get: dr/dt = (1/3)(dv/dt) / r².Substituting the values, we get: dr/dt = (1/3 * 5) / 3²dr/dt = 1/3 m/min. Therefore, the rate at which the radius is increasing is 1/3 m/min when the volume is 36πm³.Here, the keywords used are spherical balloon, volume, rate, radius, and cuberoot.

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Answer:

Step-by-step explanation:

Candice = 25mph for 4 hours.

Candice has driven= 25 * 4= 100miles.

Liz =50mph

Liz time to catch up to candice= 50 * 2= 100miles.

Therefore, It would have taken Liz two hours to catch up with Candice

The exponential function for the graph is obtained as Option A : \(y = 6^x\).

What is an exponential function?

The formula for an exponential function is f(x) = a^x, where x is a variable and a is a constant that serves as the function's base and must be bigger than 0.

The equation for exponential function is in the form -

\(y = ab^x\)

In the graph it can be seen that the horizontal asymptote is the x-axis.

To find a, look for the coordinate where the curve crosses the y axis.

In the plot, the above scenario happens at 1.

So, the value of a = 1.

To find b, look for the coordinate where the curve crosses the vertical line at x = 1.

In the plot, the above scenario happens at 6.

Then, b is is this number divided by a -

b = 6/1 = 6

So, the equation for the plot is -

\(y = 1(6)^x\)

Therefore, the function is obtained as \(y = 1(6)^x\).

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Answer:

C

Step-by-step explanation:

The similar photo should be 4.5 inches wide.

Direct variation of a quantity {y} with respect quantity {x} means that the value of {y} increases as the the value of {x} increases. Mathematically -

y = Kx

K = y/x

where -

{K} is scale factor. It also tells by how many times is {y} greater than {x}.

Given is that Gwen scans a photo that is 4 inches wide by 6 inches long into her computer. Now, she scales the length down to 3 inches.

We can write -

y₁/x₁ = y₂/x₂

6/4 = 3/x₂

x₂ = 6 x 3/4

x₂ = 6 x 0.75

x₂ = 4.5

Therefore, the similar photo should be 4.5 inches wide.

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Answer:

yes you are, good job !

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

-8 + |-6|

|-6| = 6

so you put 6 instead of |-6|

-8 + 6 which equals -2.

:D

The statement that best describes the infοrmatiοn presented in the chart is: "The number οf hurricanes was increasing but has decreased in recent years."

Hurricanes, knοwn generically as trοpical cyclοnes, are lοw-pressure systems with οrganized thunderstοrm activity that fοrm οver trοpical οr subtrοpical waters. They gain their energy frοm warm οcean waters.

The chart shοws the number οf hurricanes οf categοry 1 οr higher that οccurred during specific series οf years, and it indicates that the number οf hurricanes increased frοm 13 in 1980-1989 tο 23 in 2000-2009, and then decreased tο 10 in 2010-2017.

Therefοre, the chart suggests that the number οf hurricanes was increasing, but it has decreased in recent years. The chart dοes nοt prοvide any infοrmatiοn abοut tοrnadοes in Finleyville οr the relatiοnship between the number οf hurricanes and temperature.

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The statement that best describes the information in the graph is: "The number of hurricanes has increased but decreased in recent years." The graph shows that the number of Category 1 or greater hurricanes increased from 1980 to 2009, but decreased from 2010 to 2017.

Answer:

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

Area is the product of two dimensions, so the ratio of areas of similar figures is equal to the square of the scale factor k.

Hence the scale factor is:

Therefore the ratio of corresponding parts is:

Answer:

72 miles per day

Step-by-step explanation:

Step one data

we are told that Dani rode for 10 hours per day for 8 days

hence per day, the time taken is = 10 hours

Also,

Hence the average distance covered per day is

=total number of miles/total number of days

=576/8= 72 miles per day

Answer:

The slope is -3/4 and a point on the line is (-5,4)

Step-by-step explanation:

This equation is in point slope form

y -y1 = m(x-x1)

where m is the slope and (x1,y1) is a point on the line

Y-4=-3/4(x+5)

Y-4=-3/4(x -  -5)

The slope is -3/4 and a point on the line is (-5,4)

Answer:

C = 2πr = 2·π·20 ≈ 40π ft (125.6)