How many years should be used to find the extended net present value for two repeatable mutually exclusive projects with a 3-year and 4-year life?
a. 3
b. 6
c. 4
d. 12

Answer:

x = 3

Step-by-step explanation:

Since the quadrilateral QRST is a square, all sides are equal

Therefore QR must be equal to TS

3x - 6 = 6 - x

4x = 12

x = 3

Answer:

x=71

Step-by-step explanation:

409+x=480

x=480-409

x=71

Answer:

x=263

Step-by-step explanation:

261+148=409

409+x=672

x=672-409

x263

Answer:

9    10     10   17   3

Step-by-step explanation:

The trend projection for time period 18 is 197.6. The correct option is B

A mathematical equation used to represent the trend or pattern seen in a time series of data is called a linear trend expression, sometimes referred to as a linear trend model.

To find the trend projection for time period 18 using the given linear trend expression, we substitute t = 18 into the equation:

Yt = 129.2 + 3.8t

Y18 = 129.2 + 3.8 * 18

Y18 = 129.2 + 68.4

Y18 = 197.6

Therefore, the trend projection for time period 18 is 197.6.

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Answer:

8 1/4 in 3 = 135.193278 milliliters

Step-by-step explanation:

The average number οf siblings fοr this grοup is 1.3.

Tο find the average number οf siblings fοr this grοup, we need tο calculate the tοtal number οf siblings and divide by the tοtal number οf children.

The 5 children whο said they are an οnly child have 0 siblings each, sο they cοntribute 0 tο the tοtal.

The 3 children whο said they have 1 sibling οnly have 1 sibling each, sο they cοntribute 3 tο the tοtal.

The 4 children whο said they have exactly 2 siblings have 2 siblings each, sο they cοntribute 8 tο the tοtal.

The 3 children whο said they have exactly 3 siblings have 3 siblings each, sο they cοntribute 9 tο the tοtal.

Therefοre, the tοtal number οf siblings is 0 + 3 + 8 + 9 = 20.

The tοtal number οf children is 15.

Sο, the average number οf siblings is 20/15, which is apprοximately 1.3 (rοunded tο the nearest tenth).

Therefοre, the average number οf siblings fοr this grοup is 1.3.

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(a) 71 is a prime number because it has only two factors, 1 and itself.

(b) 111 is not a prime number because it has factors other than 1 and itself. We can find these factors by prime factorization method which is 111=3*37. So, 111 has factors other than 1 and itself, 3 and 37.

(c) 113 is a prime number because it has only two factors, 1 and itself.

(d) 93 is not a prime number because it has factors other than 1 and itself. We can find these factors by prime factorization method which is 93=3*31. So, 93 has factors other than 1 and itself, 3 and 31.

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The approximate percent increase between carbon dioxide levels 150,000 years ago and carbon dioxide levels today is about 50%.

Carbon dioxide (\(CO2\)) levels fluctuate naturally over long periods of time due to various factors. Comparing the approximate \(CO2\) levels from 150,000 years ago to today, there has been a significant increase of about 50%. During the pre-industrial era, \(CO2\) levels were relatively stable at around 280 parts per million (ppm).

However, with the advent of industrialization and the burning of fossil fuels, human activities have contributed to the release of large amounts of \(CO2\) into the atmosphere. Currently,\(CO2\) levels have risen to over 400 ppm. To calculate the approximate percent increase, we can use the formula: ((New Value - Old Value) / Old Value) * 100. Applying this formula, the percent increase in \(CO2\) levels from 150,000 years ago to today would be approximately 50%.

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Answer:

Hello there I would love to assist but could you give me a little more info I think I know the answer but I want to make sure I got it 100% correct unless you cant give me more info ill just tell you what I think it is but if u can give me more info before I give u the answer to make sure its correct would be appreciated

Step-by-step explanation:

The values of a and b for local max at x=-1 and x=3 are 3/2 and 9.

Given function: f(x) = x³ + ax² + bx.

In order to find the values of a and b that make the function have a local max at x = -1 and a local max at x = 3, we need to use the first derivative test, which involves the critical points of the function (where the first derivative is equal to zero or undefined).

To obtain these critical points, we need to take the first derivative of the function,

f'(x):f'(x) = 3x² + 2ax + b

Setting f'(x) equal to zero to find the critical points:3x² + 2ax + b = 0

Solving for a in terms of b and x, we get:a = -3x²/2 - b/2

Now, since we know that there is a local max at x = -1 and a local max at x = 3, we can set up a system of equations to solve for a and b:

a = -3(-1)²/2 - b/2  

--> a = -3/2 - b/2a = -3(3)²/2 - b/2

--> a = -27/2 - b/2

Simplifying the first equation, we get:b = 2a + 3

Setting this value of b into the second equation and solving for a, we get:a = 3/2

Substituting a = 3/2 into the equation for b, we get:b = 9

Now, we have the values of a and b that make the function have a local max at x = -1 and a local max at x = 3:a = 3/2, b = 9

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To assign the sum of extra credit received to the total extra credit, you need to follow these steps:

1. Make a list of all the test grades, and mark the ones that have extra credit with a "+" sign. For example, if the test scores are: 95, 110+, 80, 120+, 100, you would mark the 110+ and the 120+.

2. Add up all the extra credit marks. In this example, that would be 110 + 120 = 230.

3. Count the number of extra credit marks. In this example, there are two.

4. Multiply the number of extra credit marks by the maximum extra credit value. If full credit is 100, then the maximum extra credit value is the amount that a student can exceed the maximum score by. In this case, that would be 20 (since 120 - 100 = 20). So, 2 x 20 = 40.

5. Add the extra credit value to the total score. In this example, the total score is 505 (95 + 110 + 80 + 120 + 100). So, you would add 40 to that to get 545.

Therefore, the answer is: To assign sum extra with the total extra credit received given list test grades, you need to add the extra credit value to the total score by multiplying the number of extra credit marks by the maximum extra credit value, and then adding that value to the total score.

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Answer:

Step-by-step explanation:

Firstly, removing the 4 will cause the median to change.

Secondly,

   Range = highest number - lowest number

   With the outlier:

        Range = 33 - 4 = 29

   Without the outlier:

        Range = 33 - 22 = 11

The range has decreased.

Removing the outlier will not change the range and median, but it will increase the mean.

The range is the difference between the largest and smallest values in a data set. If you remove the outlier, which is 4 in this case, the smallest value will change, but the largest value will remain the same. Therefore, the range will stay the same.

The mean is the average of all the values in a data set. When you remove an outlier, it significantly affects the average because it is an extreme value. In this case, removing 4 as an outlier will increase the mean value.

The median is the middle value in a data set. Since the median is not affected by extreme values, removing the outlier will not change the median. In this case, the median will stay the same.

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The interval over which f has a positive average rate of change is for all values of x for which x > 0 or x < 0.

The given function is\(F(x)= x^2 + 10.\)The objective is to determine the interval over which f has a positive average rate of change.

The average rate of change in a function refers to the ratio of the change in y-values to the change in x-values over a specified interval. That is,Δy/ΔxLet's find the average rate of change of the given function;\(F(x)= x^2 + 10\)Δy = f(x₂) - f(x₁)Δx = x₂ - x₁Average Rate of Change, ARC = Δy/ΔxF(x) = x² + 10

For the interval [a, b], the ARC is given by the expression:f(b) - f(a) / b - aNow, let us find the average rate of change of the function for the interval [a,b];

ARC(a, b) = f(b) - f(a) / b - aARC(a, b) = [b² + 10] - [a² + 10] / b - a

ARC(a, b) = [b² - a²] / b - aARC(a, b) = [(b-a)(b+a)] / b - a

ARC(a, b) = b + aOn simplifying the above expression, we get;

ARC(a, b) = b + a

Since we need to find an interval over which the function has a positive average rate of change,

i.e., ARC > 0;therefore, b + a > 0 or b > -a

Thus, the interval over which f has a positive average rate of change is for all values of x for which x > 0 or x < 0.

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Answer:

3 upon 2. that's the answer ..

Given information can be summarized as: Premise: Anyone who does not play is not a football star.

25. Jack owns a dog. Every dog owner is an animal lover. No animal lover kills an animal.

Either Jack or Curiosity killed the cat, which is named Claude.

Given information can be summarized as:

Premise 1: Jack owns a dog.

Premise 2:

Every dog owner is an animal lover.

Either Jack or Curiosity killed the cat, which is named Claude.26.

Although some city drivers are insane, Dorothy is a very sane city driver.

Given information can be summarized as:Premise: Some city drivers are insane

Conclusion:

Dorothy is a very sane city driver.27.

Every Austinite who is not conservative loves armadillo.

Given information can be summarized as:

Premise: Every Austinite who is not conservative loves armadillo.28.

Every Aggie loves every dog.The given information can be summarized as:

Premise: Every Aggie loves every dog.29. Nobody who loves every dog loves any armadillo.

Given information can be summarized as:

Premise:

Nobody who loves every dog loves any armadillo.30.

Anyone whom Mary loves is a football star.

Given information can be summarized as:

Premise: Anyone whom Mary loves is a football star.31.

Any student who does not study does not pass.

Given information can be summarized as:

Premise: Any student who does not study does not pass.32. Anyone who does not play is not a football star.

Given information can be summarized as: Premise: Anyone who does not play is not a football star.

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Answer:

I think its eight but I could be wrong

Answer:

27

Step-by-step explanation:

i dont know how to describe what i did but it is correct

Answer:

h = 1.34 inches

Step-by-step explanation:

Given that,

The volume of cone, V = 3.6 cubic inches

Let the radius of cone is, r = 1.6 inches

We need to find the height of the cone. The formula for the volume of a cone is given by :

\(V=\dfrac{1}{3}\pi r^2 h\\\\h=\dfrac{3V}{\pi r^2}\\\\h=\dfrac{3\times 3.6}{\pi \times 1.6^2}\)

h = 1.34 inches

So, the height of the cone is equal to 1.34 inches.

The explicit rule for the geometric sequence is given as follows:

\(a_n = 3\left(\frac{1}{2}\right)^{n - 1}\)

The recursive rule for the geometric sequence is given as follows:

\(a_n = 0.5a_{n - 1}, a_1 = 3\)

For the sequence, each term is obtained multiplying the previous term by 1/2, hence the common ratio of the geometric sequence is given as follows:

q = 1/2.

The first term of the geometric sequence is given as follows:

\(a_1 = 3\)

The explicit rule is defined as follows:

\(a_n = a_1q^{n - 1}\)

\(a_n = 3\left(\frac{1}{2}\right)^{n - 1}\)

The recursive rule is given as follows:

\(a_n = 0.5a_{n - 1}, a_1 = 3\)

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The equation of a line can be written as:

y = mx + b

Where m is the slope and b is the y-intercept.

For the word problem, the slope is -10 and the intercept is 50, thus the equation is:

y = -10x + 50

If x is the number of weeks, then y decreases by 10 when x increases by 1. We expect that the value of y goes from 50 down to 40, 30, 20, etc.

The example of the friend is that he started with

The values of a, h and k on the function are given as follows:

The meaning of the transformations is given as follows:

A translation happens when either a figure or a function is moved horizontally or vertically on the coordinate plane.

The four translation rules for functions are defined as follows:

The parent function in this problem is given as follows:

y = 1/x.

Hence the meaning of the transformations is given as follows:

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The answer option that matches the graph I drew include the following: D. graph D.

In Mathematics, the following rules are generally used for writing and interpreting an inequality or system of inequalities that are plotted on a graph:

In this context, we can logically deduce that the most appropriate graph to represent the solution to the given inequality y ≤ - 2x is graph D because the solid boundary lines must be shaded below.

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Answer:

n translation problems, the words sum, total, difference, product and quotient imply at least two ... X-4 the difference of. X-3. The difference of a number and three. Nine less a number less. 9-X decreased by.

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

9 decreased by the product of 4 and 2

9 - (4×2)

9 - 8 =1

Answer:

Im [retty sure the Square root of 50 is 7!

Step-by-step explanation:

A compound event is any event combining two or more simple events.

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

combining two or more simple events.

As a general rule

When two or more simple events are combined, the result is a compound event

An example is selecting 1 in a die and head in a coin

This means that the statement that completes the blank is compound event

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Answer:

distance between points is 5.6568...

when you round it will be 5.7

answer is 5.7

Step-by-step explanation:

find the distance between two points using distance formula

Find the probabilities

We can make a easy comparison by finding the percentage of the two

The percentage that a freshman has a summer job will be 64%

Now the seniors

26.2% of the seniors have a summer job.

So, the obvious comparison is that "a senior is less likely to have a job then a freshman" or the second option. Since the percentage that a freshman will have a job is much higher then the percentage a senior will have a job.

The constant of proportionality is 4.75 and it is the amount earned from each bracelet

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

y = 4.75x

A linear equation represented as y = mx has its constant to be m

This means that the constant of the equation is 4,75

The constant of proportionality represent the amount earned from each bracelet in the context of the problem

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The constant of proportionality is 4.75 and it represents the amount of money, in dollars, that Liv earns for every bracelet she sells. .

The constant of proportionality is represented by a symbol, such as k, and can be used to write an equation for a proportional relationship, such as y = kx, where y and x are the two variables and k is the constant of proportionality.

Therefore, the constant of proportionality in the equation y = 4.75x is 4.75. It represents the amount of money, in dollars, that Liv earns for every bracelet she sells.

In other words, it is the ratio of the amount of money earned to the number of bracelets sold.

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The specific null and alternative hypotheses for a hypothesis test will depend on the research question being investigated and the type of data being analyzed.

What is the equivalent expression?

Equivalent expressions are expressions that perform the same function despite their appearance. If two algebraic expressions are equivalent, they have the same value when we use the same variable value.

For a two-tailed hypothesis test, an appropriate null hypothesis indicating that the population correlation is equal to zero would be:

H₀: ρ = 0

where ρ represents the population correlation coefficient.

This null hypothesis states that there is no significant correlation between the two variables being analyzed.

In a two-tailed hypothesis test, the alternative hypothesis would be that there is a significant correlation, either positive or negative, between the two variables:

Hₐ: ρ ≠ 0

This alternative hypothesis states that there is a significant correlation between the two variables, but does not specify the direction of the correlation.

It's important to note that the specific null and alternative hypotheses for a hypothesis test will depend on the research question being investigated and the type of data being analyzed.

Additionally, the choice of null and alternative hypotheses will affect the statistical power of the test, which is the probability of correctly rejecting the null hypothesis when it is false.

Hence, the specific null and alternative hypotheses for a hypothesis test will depend on the research question being investigated and the type of data being analyzed.

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Complete Question:

For a two-tailed hypothesis test, which of the following would be an appropriate null hypothesis indicating that the population correlation is equal to o?

A. H₀: 1 = 2, B. H₀ : M₁ = M₂ C. H₀: O = 0  

D. None of the options above are correct.