Let U be the the set of all tax returns, A be the set of all tax returns with Itemized deductions itemized deductions, B be the set of all tax returns showing business loss, C be the set of all tax returns filed in 2009, and D be the set of all tax returns selected for audit. Describe the set B∪C in words. Choose the correct answer from below. A.The set of all tax returns showing business loss or filed in 2009 B. The set of all tax returns selected for audit and filed in 2009 C. The set of all tax returns showing business loss and filed in 2009 D. The set of all tax returns selected for audit or filed in 2009

Answers

Answer 1

The set B∪C is the set of all tax returns showing business loss or filed in 2009.

What is the definition of the set B∪C?

The set B∪C represents the union of sets B and C, which includes all tax returns that show business loss or were filed in 2009.

This means that the set B∪C may include tax returns that show business loss but were not filed in 2009, and tax returns filed in 2009 that do not show business loss.

For example, a tax return filed in 2009 that shows no business loss would be included in set C but not in set B. On the other hand, a tax return that shows business loss but was filed in a year other than 2009 would be included in set B but not in set C.

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Related Questions

zach went shopping for some new clothes. He purchased 3 new shirts(solid,striped,plaid)2 pairs of pants(blue,and grey)and two new ties (a bow tie and a regular tie) what is the probability of him wearing a solid shirt,blue pants and a bow tie?

Answers

Answer:

Probability of Zach wearing a solid shirt, blue pants, and a bow tie is 1/12.

Step-by-step explanation:

The probability of Zach wearing a solid shirt, blue pants, and a bow tie is equal to the product of the probabilities of each event happening independently.

The probability of Zach wearing a solid shirt is 1/3, since he has 3 shirts and only one of them is solid.

The probability of him wearing blue pants is 1/2, since he has 2 pairs of pants and only one of them is blue.

The probability of him wearing a bow tie is 1/2, since he has 2 ties and only one of them is a bow tie.

Therefore, the probability of Zach wearing a solid shirt, blue pants, and a bow tie is:

P(solid shirt) * P(blue pants) * P(bow tie) = 1/3 * 1/2 * 1/2 = 1/12

So the probability of Zach wearing a solid shirt, blue pants, and a bow tie is 1/12.

1 3 6 10, can you write the ninth triangular number as a consecutive number

Answers

Answer:

So, the ninth triangular number can be written as the sum of the consecutive numbers 11, 12, 13, and 14.

Step-by-step explanation:

The ninth triangular number can be calculated by adding the first 9 natural numbers: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 = 45.

To write 45 as a consecutive number, we could start with 11 and add consecutive numbers until we reach 45.

11 + 12 + 13 + 14 = 50

So, the ninth triangular number can be written as the sum of the consecutive numbers 11, 12, 13, and 14.

The table shows the number of rabbits r in a particular forest t years after a forest fire. Write and use an exponential model to find how many years it will take for the rabbit population to surpass 20,000. Please show your work!​

Answers

Answer:

t = 6.29 years

Step-by-step explanation:

The general formula of an exponential function is

[tex]y=ab^x[/tex], where a is the initial value (i.e., value of y when x = 0), b is the base, and x is the exponent.

We can express rabbit population as a function of time in years, which means in our formula, r is like y and t is like x:

[tex]r=ab^t[/tex]

Because at time t = 0, the rabbit population is 20, we know that our a value for the equation is 20.

We can find b by simply plugging in 20 for a and any point for r and t like (1, 60):

[tex]60=20b^1\\3=b[/tex]

Thus, the equation we will need to use to find the rabbit population is

[tex]r < 20(3)^t[/tex]

It's helpful to use an inequality where the equation is greater than r since we want to know how many years it will take for the population to exceed 20000:

[tex]20000 < 20(3)^t\\\\1000 < 3^t\\\\log(1000) < log(3)^t\\\\log(1000) < t*log(3)\\\\log(1000)/log(3) < t\\\\6.287709823 < t\\6.29 < t[/tex]

We can check our answer by plugging in 6.29 for t and check whether the answer we get is greater than 20000:

[tex]20000 < 20(3)^6^.^2^9\\20000 < 20*1002.519185\\20000 < 20050.38369\\20000 < 20050.38[/tex]

Suppose the units were changed and total sales values were given in dollars instead of millions of dollars:

Answers

If the units were changed and the total sales values were given in dollars instead of millions of dollars, the numbers would be much larger. For example, if the sales of a particular product were $10 million, it would be represented as $10,000,000 instead.

This would not affect the calculation of the average price per unit, as this value is independent of the total sales value.

However, it would make it easier to compare the sales figures of different products or companies, as they would all be expressed in the same units.

It is important to note that when working with large numbers, it is common to use scientific notation or abbreviations to make them easier to read and work with.

For example, $1 million could be written as 1M or 1E6 (where E represents "times 10 to the power of").

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Which of the Stack methods will add an int to the top of x?
a. x.pop(int 42);
b. x.append(int 42);
c. x.enqueue(int 42);
d. x.top(int 42);
e. x.push(int 42);

Answers

The method that will add an int to the top of x in a stack data structure is the "push" method. Therefore, the correct option is:

e. x.push(int 42);



The "push" method adds an element to the top of the stack, increasing the size of the stack by one. The element pushed onto the stack becomes the new top of the stack. The other options listed do not correctly implement the behavior of adding an element to the top of a stack.

- The "pop" method removes and returns the top element of the stack.
- The "append" method is typically used to add elements to a list or an array, not a stack.
- The "enqueue" method is typically used in a queue data structure, not a stack.
- The "top" method returns the top element of the stack without removing it, but it does not add a new element to the stack.

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what test would you use if: -normal population -large sample -standard deviation known

Answers

z-test will help you analyze the sample mean and make inferences about the population mean.

The normal population and a large sample with a known standard deviation, the appropriate statistical test to use would be the z-test.

The z-test is a hypothesis test that is used to determine whether the sample mean is significantly different from the population mean.

It is a parametric test that assumes the sample is normally distributed and the population standard deviation is known.
To perform a z-test, you would first calculate the z-score by subtracting the population mean from the sample mean and dividing by the standard deviation divided by the square root of the sample size.

You would then consult a z-table or use a statistical software package to determine the p-value associated with the z-score. If the p-value is less than the level of significance (usually 0.05), you would reject the null hypothesis and conclude that the sample mean is significantly different from the population mean.
The z-test is a powerful tool for hypothesis testing, particularly when dealing with large samples and known population standard deviation.

It allows researchers to make inferences about a population based on a sample, providing valuable insights into the behavior of the larger population.

However, it is important to ensure that the assumptions of the test are met before using it, as violating these assumptions can lead to inaccurate results.

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An expression is shown below:
x²-8x-4
Which of the following statements correctly describes the expression?
The expression can be expressed as (x-4)2-12; the minimum value of the function it defines is -12.
The expression can be expressed as (x-4)²-12, the maximum value of the function it defines is -12.
The expression can be expressed as (x-4)²-20, the minimum value of the function it defines is -20.
The expression can be expressed as (x-4)2-20, the maximum value of the function it defines is -20.
a.
b.
C.
d.

Answers

The given expression is expressed as [tex](x-4)^2-20[/tex] having minima value = -20

The given expression is f(x)=[tex]x^2-8x-4[/tex].

It can also be expressed as [tex](x-4)^2-20[/tex] as it simplifies to [tex]x^2-8x-4[/tex].

To find the maxima or minima the first derivative is calculated as follows.

f'(x) = 2x-8 which becomes zero at x=4.

To find whether it is maxima or minima at x=4 the second derivative is calculated as follows.

f''(x)=2 which comes out to be positive value hence it will be minima.

Substitute x=4 in given expression to get the minima value.

f(4)=4*4-8*4-4

f(4)=-20

Hence, the given expression has minima at x=4 which is equal to -20.

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If 1 serving of stir fry uses 2/3 cup of rice, how many cups are in 13 servings?

Answers

Answer:

26/3 cup of rice

Step-by-step explanation:

We Know

1 serving of stir fry uses 2/3 cup of rice.

How many cups are in 13 servings?

We Take

2/3 x 13 = 26/3 cup of rice

So, there are 26/3 cups of rice are in 13 servings.

Answer:

26/3 (8 2/3) cups

Step-by-step explanation:

If one serving of stir fry uses 2/3 cups of rice,

1:2/3

If there are 13 servings,

13: 2/3 * 13

13: 26/3

So 26/3 cups of rice

The distance between bases in a baseball diamond is 90 ft. The distance between bases in softball is 60 ft. If each diamond is a rhombus that has the same height, what is the ratio of the area of a base ball diamond to the area of a softball diamond?

Answers

The ratio of the area of a base ball diamond to the area of a softball diamond is 9/4

What is the ratio of the area of a base ball diamond to the area of a softball diamond?

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

The distance between bases in a baseball diamond is 90 ft. The distance between bases in softball is 60 ft.

This means that

d1 = 90

d2 = 60

So, the ratio of the side lengths are

r = d1/d2

This gives

r = 90/60

Simplify

r = 3/2

For the area ratio, we have

r^2 = 9/4

Hence, the ratio is 9/4

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they keep changing the answer every-time i leave the app so pls answer this quickly :(

Answers

Answer: I am pretty sure it would be angle ROS

. If f(x) =x^3/3
and (x)=√x, find f(g(9)).

Answers

Answer: 9

Step-by-step explanation:

To find f(g(9)), we first need to substitute g(9) into the function f(x), and then evaluate the resulting expression.

Given that g(x) = √x, we can replace x with 9 (since we're looking for g(9)) in the expression for g(x):

g(9) = √9

Since the square root of 9 is 3, we have:

g(9) = 3

Now, we can substitute g(9) into the function f(x) = x^3/3, replacing x with 3:

f(g(9)) = (3)^3/3

Using the exponent rule for cube, we get:

f(g(9)) = 27/3

Simplifying the division, we get:

f(g(9)) = 9

So, the value of f(g(9)) is 9.

Answer:  3

Step-by-step explanation:

[tex]f(x)=\frac{x^{3} }{3}[/tex]      and        g(x)=∛x         I'm assuming the g(x) being (x)  

                                                        probably a typo

f(g(9)) = ?       solve for g(9) first

This means plug in 9 for x for the g(x) equation

g(9) =  ∛9            does not simplify so plug your answer for g(9) into f(x)

                           so every time you see x in f(x) put ∛9

[tex]f(g(x))=\frac{(\sqrt[3]{9} )^{3} }{3}[/tex]       the root and exponent cancel out because same

=9/3

=3

Suppose that the prevalence of a certain type of tree allergy is 0.15 in the general population. If 100 people randomly chosen from this population are tested for this allergy, what is the probability that exactly 15 of them will have this allergy?

Please write your answer as a decimal, precise to at least four decimal places.

Answers

Answer:0.0906

Step-by-step explanation:

Given that the prevalence of a certain type of tree allergy is 0.26 in the general population

X- the no of persons having tree allergy is binomial since each persons is independent of the other and there are two outcomes.

Here n = 100

Required probability = the probability that exactly 26 of them will have this allergy

Which expression gives the solutions to the equation 2x2 + 5x – 10 = 0?

Answers

2
2x-5-10= 0 5-150=4. ShdksKk

True or false: Flow rates (gtt/min and mL/hr) are given in whole numbers only, no decimals

Answers

True, flow rates in medical settings, such as intravenous (IV) fluid administration, are typically expressed in whole numbers without decimals for both gtt/min (drops per minute) and mL/hr (milliliters per hour). This practice is followed to maintain accuracy, simplicity, and safety in dosage calculations.

Using whole numbers ensures that healthcare professionals can easily communicate and understand the flow rates, minimizing the risk of errors. Additionally, IV infusion devices and manual drip chambers are generally designed to accommodate whole-number flow rates, which further supports this standard practice.

In conclusion, expressing flow rates as whole numbers without decimals is crucial for maintaining precision, ease of understanding, and patient safety in medical settings.

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what test would you use if: -normal population -large sample -standard deviation NOT known

Answers

The t-value is less than or equal to the critical value, you would fail to reject the null hypothesis, indicating that the sample mean is not significantly different from the population mean.

If the population is normal, the sample is large, and the standard deviation is not known, the appropriate test to use would be the one-sample t-test.
The t-test is a statistical test that allows us to compare the means of two groups to determine if there is a significant difference between them.

In this case, we are interested in testing if a sample mean is significantly different from the population mean.
Since we do not know the standard deviation of the population, we use the standard deviation of the sample to estimate it.

The t-test takes into account the sample size, the sample mean, and the sample standard deviation to determine the probability of obtaining the observed sample mean if the population mean is the same as the sample mean.
If the calculated t-value is greater than the critical t-value at a given significance level, we can reject the null hypothesis that the sample mean is equal to the population mean and conclude that there is a significant difference between the two means.
In summary, the one-sample t-test is the appropriate test to use when dealing with a normal population, a large sample, and an unknown population standard deviation.

It allows us to test whether a sample mean is significantly different from the population mean and provides us with a measure of the probability of obtaining the observed sample mean by chance.

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According to records from the last 50 years, there is a 2/3 chance of June temperatures being above 80 F. Azul needs to find the probability that it will be above 80 F for 20 or more days this June. There are 30 days in June.

Answers

The best way is to Keep track of how many times you roll a 1, 2, 3, or 4 in 30 rolls. These will represent the days the temperature is above 80° F in June. So, correct option is D.

Option A is not the best way to perform the simulation because it requires repeating the 30 rolls 20 times, which can be time-consuming and may not accurately reflect the true probabilities.

Option B is also not the best way to perform the simulation because it only accounts for the total number of times a temperature above 80°F is rolled, but not how many times it is rolled in a sequence. This can lead to inaccurate results, as consecutive days of above-80°F temperatures are more or less likely depending on the previous day's temperature.

Option C is better than option A because it involves repeating the 30 rolls 100 times, which increases the accuracy of the simulation. However, this may still be time-consuming and unnecessary.

Option D is the best way to perform the simulation because it tracks the number of days the temperature is above 80°F in June based on 30 rolls, which accurately reflects the probabilities given in the problem statement.

This method is efficient and effective in providing an accurate estimate of the probability of having 20 or more days above 80°F in June. Therefore, Option D is the best way to perform the simulation.

So, correct option is D.

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201
6 Richard writes a number pattern that starts at 1 and follows
the rule "Add 1, then multiply by 3." Heather writes a number
pattern that starts at 1 and follows the rule "Add 3, then multiply
by 2." Write the first five ordered pairs with the x-coordinate
representing the numbers in Richard's pattern and the y-coordinate
representing the corresponding numbers in Heather's pattern.

Answers

To find the first five ordered pairs with the x-coordinate representing the numbers in Richard's pattern and the y-coordinate representing the corresponding numbers in Heather's pattern, we can use the given rules to generate the numbers in each pattern and then pair them up:

Richard's pattern: 1, 4, 15, 46, 139
Heather's pattern: 1, 8, 22, 50, 106

So, the first five ordered pairs are:

(1, 1)
(4, 8)
(15, 22)
(46, 50)
(139, 106)

Therefore, the first five ordered pairs with the x-coordinate representing the numbers in Richard's pattern and the y-coordinate representing the corresponding numbers in Heather's pattern are (1, 1), (4, 8), (15, 22), (46, 50), and (139, 106).

What is the area, in square centimeters, of the shape below? Express
your answer as a fraction in simplest form.
1/6 cm
3/5 cm

Answers

Answer:0.096

Step-by-step explanation:

1/6 = 0.16

3/5 = 0.6

0.16 times 0.6 = 0.096

hope that helps

whats the meaning of parallel midpoint crossing triangle converse theorem

Answers

The Parallel Midpoint Crossing Triangle Converse Theorem refers to a geometrical concept that combines the ideas of parallel lines, midpoints, and triangle converses.


In geometry, parallel lines are lines that never intersect and remain an equal distance apart. Midpoints, on the other hand, are points that divide a line segment into two equal parts. A triangle converse involves reversing the statements of a given theorem to create a new, related theorem.

The Parallel Midpoint Crossing Triangle Converse Theorem is a derivative of the Midpoint Theorem, which states that if a line segment connects the midpoints of two sides of a triangle, the line segment will be parallel to the third side and half its length. The converse of this theorem can be stated as follows: if a line segment is drawn parallel to one side of a triangle and its length is half the length of the parallel side, then the line segment connects the midpoints of the other two sides of the triangle.

To summarize, the Parallel Midpoint Crossing Triangle Converse Theorem deals with a specific scenario in geometry where a line segment, parallel to one side of a triangle and half its length, connects the midpoints of the other two sides. This theorem and its converse play a crucial role in understanding geometric properties and relationships within triangles.

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Can someone please help me ASAP? It’s due tomorrow!! I will give brainliest if it’s all correct

Please do part a, b, and c

Answers

Part A: Based on the image, Zachary used systematic sampling method, and he  must have recorded the color of every fifth car that  was known to traveled north.

What is the Percentage  about?

Part B: To know the percentage of red cars and black cars from all of  sample, we have to calculate the total number of cars in all  sample first and it is done below:

Sample 1:

Total cars = 3 + 5 + 3 + 6 + 3  

                    = 20

The Percentage of red cars = (3/20) x 100%

                                            = 15%

The Percentage of black cars = (6/20) x 100%

                                              = 30%

Sample 2:

Total cars = 4 + 7 + 3 + 4 + 2

                  = 20

The percentage of red cars = (4/20) x 100%

                                        = 20%

The percentage  of black cars = (4/20) x 100%

                                          = 20%

Sample 3:

Total cars = 2 + 6 + 3 + 4 + 5

                   = 20

The percentage of red cars = (2/20) x 100%

                                        = 10%

The percentage of black cars = (4/20) x 100%

                                        = 20%

Sample 4:

Total cars = 3 + 4 + 4 + 5 + 4  

                = 20

The percentage of red cars  = (3/20) x 100%

                                                  = 15%

The percentage  of black cars = (5/20) x 100%

                                                   = 25%

Sample 5:

Total cars = 2 + 4 + 3 + 5 + 6

                   = 20

The percentage of red cars = (2/20) x 100%

                                              = 10%

The percentage  of black cars = (5/20) x 100%

                                                    = 25%

Part C:

The Two conclusions that I have drawn are:

The percentage of red cars and black cars changes over the diverse samples, showing that there may be a few variability within the colors of cars that pass through the crossing point at distinctive times.The percentage of black cars is way much higher than the percentage of red cars in all of sample and this shows that black cars  will be more common than red cars in the above area.

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See text below



All changes saved Zachary took five random samples of cars that passed through the intersection near his school. He recorded the color of every fifth car that traveled north, and the results of his samples are organized in the table below.

                  Sample1   Sample2   Sample3    Sample4  Sample5

  red                3             4                   2                3                   2

white              5              7                    6                4                  4

blue                3               3                    3                 4                3

black              6              4                    4                 5                  5

gray                3              2                    5                 4                   6

Part A: What sampling method did Zachary use to gather his data?

Part B: Determine the percentage of red cars from each sample and the percentage of black cars from each sample.

Part C: Draw two conclusions about your findings from Part B.

With two fair standard (1,2,3,4,5,6) dice rolled once, what is P(sum of 7)?

Answers

The probability of getting a sum of 7 when rolling two fair standard dice is 1/18.

To find the probability of getting a sum of 7 when rolling two fair standard dice, we need to determine the number of favorable outcomes (getting a sum of 7) and the total number of possible outcomes.

The total number of possible outcomes when rolling two dice is 6 * 6 = 36 because each die has 6 possible outcomes.

To get a sum of 7, we need one die to show a value of 1 and the other die to show a value of 6, or vice versa. There are two ways this can happen: (1, 6) and (6, 1).

Therefore, the number of favorable outcomes is 2.

The probability of getting a sum of 7 is given by:

P(sum of 7) = Number of favorable outcomes / Total number of possible outcomes

P(sum of 7) = 2 / 36

P(sum of 7) = 1 / 18

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False positive when you reject a null hypothesis that should have been accepted
type ________ error

Answers

When you reject a null hypothesis that should have been accepted, it is called a type I error or a false positive. This means that the conclusion you reached was not supported by the evidence, and you falsely concluded that there was a significant effect or relationship between the variables being studied.

To avoid false positives, it is important to carefully design experiments and tests, and to use appropriate statistical methods. This includes setting a reasonable level of significance or alpha level, which is the probability of rejecting a null hypothesis when it is actually true.

Additionally, it is important to critically evaluate any positive results and consider alternative explanations for the findings. This can help to ensure that your conclusions are well-supported and not simply the result of chance or bias.

Overall, while false positives can be frustrating, they are a natural part of the scientific process and can be minimized through careful planning, analysis, and interpretation of data. By remaining open-minded and rigorous in our approach, we can arrive at more accurate and reliable conclusions that can advance our understanding of the world around us.

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What is the domain of the function shown in the graph below?

Answers

Answer:

(-4, ∞)

Step-by-step explanation:

The domain of a function is how far the x goes left and right.

We see the x starts at -4 and goes forever.

So, the Domain of the function is (-4, ∞)

The domain of the function in the given graph of a function represents all the x-values equal to (−4,∞).

The domain of a function is the set of all possible input values for the function.

In other words, it is the set of all x-values for which the function has a defined y-value.

To find the domain of a function from its graph, we need to look for any x-values for which the function is undefined.

The graph in the image you sent shows a function that is defined for all real numbers.

This means that the domain of the function is all real numbers, here in the given graph domain is  (−4,∞).

Another way to think about it is that the graph of the function extends infinitely far to the left and to the right, which means that there are no x-values for which the function is undefined.

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Which tool makes an exact duplicate of what it is sampling?

Answers

The tool that makes an exact duplicate of what it is sampling is called a "clone stamp" tool.

What is a "clone stamp" tool?

A "clone stamp" tool is a function included in image editing software such as Adobe Photoshop that allows you to sample a specific region of a picture and reproduce it elsewhere.

The clone stamp tool creates an identical copy of the original by copying pixels from the selected source area and pasting them onto the region where the tool is applied.

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The table lists some daily balances in Dora’s savings account. Date Balance ($)

May 1 15

May 10 -25

May 20 115

May 27 10

May 31 -5

Identify the date when Dora’s balance was the highest and the date when her debt was the highest.

Answers

The date when Dora's balance was the highest is May 20, and the date when her debt was the highest is May 10.

To identify the date when Dora's balance was the highest, we need to find the maximum balance from the given table.

May 1: Balance = 15

May 10: Balance = -25

May 20: Balance = 115

May 27: Balance = 10

May 31: Balance = -5

From the given data, we can see that the highest balance is 115, which occurred on May 20.

To identify the date when Dora's debt was the highest, we need to find the lowest balance (negative value) from the given table.

May 1: Balance = 15 (positive)

May 10: Balance = -25 (negative)

May 20: Balance = 115 (positive)

May 27: Balance = 10 (positive)

May 31: Balance = -5 (negative)

From the given data, we can see that the highest debt is -25, which occurred on May 10.

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Please help me find (fg) (x) and (f/g) and state the domain of each. Then evaluate

Answers

The value of (fg)(4) = 192 and (f/g)(4) = 4/3.

The given functions are,

f(x) = [tex]2^{x}[/tex]

g(x) = 3x

x = 4

Now multiplication of functions

(fg)(x) = f(x).g(x)

         = (3x)( [tex]2^{x}[/tex])

At    x = 4

(fg)(4) = (3x4)( [tex]2^{4}[/tex])

         = 12x16

⇒(fg)(4) = 192

Now division of functions

(f/g)(x) = f(x) /g(x)

          =  [tex]2^{x}[/tex]/3x

At     x = 4

(f/g)(4) =  [tex]2^{4}[/tex]/3x4

           = 16/12

⇒(f/g)(4) = 4/3

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5285 meters x __________ = 5.285 km

Answers

5285 meters x 0.001 = 5.285 km

Multiplying the length in meters by 0.001 converts it to kilometers.

la edad de Santiago excede en 13 años a la edad de Luis, y el doble de la edad de Luis excede en 29 años a la edad de Santiago ¿que edad tiene cada uno? ​

Answers

Answer:

Luis 19, Santiago 9

Step-by-step explanation:

[tex]L = S +10\\2L=S+29[/tex]

Restamos a la segunda ecuación la primera ecuación:

[tex]L=19[/tex]

Luis tiene 19 años

Para la edad de Santiago usamos la primera ecuación:

[tex]L=S+10\\19=S+10[/tex]

[tex]S=19-10\\S=9[/tex]

Santiago tiene 9 años

Hope this helps.

Let:
U= {a, f, j, m, p, s, v}
X= {a, j, p, v}
Y= {a, f, j}
Z= {f, j, m, p, s}
Find the following set:
(Z UX') ' ∩ Y = {___}

Answers

The answer to the set (Z ∪ X')' ∩ Y = {a}.


-Since U = {a, f, j, m, p, s, v} and X = {a, j, p, v}, the complement of X, denoted as X', is the set of all elements in U that are not in X. Therefore, X' = {f, m, s}.

-Now, find the union of Z and X'. Z = {f, j, m, p, s} and X' = {f, m, s}. The union of Z and X', denoted as Z ∪ X', is the set of all elements in either Z or X' or both. Thus, Z ∪ X' = {f, j, m, p, s}.

-To find the complement of Z ∪ X', denoted as (Z ∪ X')', we need to find all elements in U that are not in Z ∪ X'. Since Z ∪ X' = {f, j, m, p, s} and U = {a, f, j, m, p, s, v}, (Z ∪ X')' = {a, v}.

-Finally, find the intersection of (Z ∪ X')' and Y. (Z ∪ X')' = {a, v} and Y = {a, f, j}. The intersection of (Z ∪ X')' and Y, denoted as (Z ∪ X')' ∩ Y, is the set of all elements that are in both (Z ∪ X')' and Y. Therefore, (Z ∪ X')' ∩ Y = {a}.

So, the answer is (Z ∪ X')' ∩ Y = {a}.

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If the A.P. cost of a head of lettuce is $1.25 lb and the yield factor is .88, what is the E.P. cost (in dollars per pound) of .90 lb head of lettuce

Answers

The E.P. cost per pound of .90 lb head of lettuce is 1.58.

To find the E.P. (edible portion) cost per pound of lettuce, we need to adjust the A.P. (as purchased) cost based on the yield factor.

First, let's calculate the A.P. cost per pound of lettuce:

A.P. cost = 1.25/lb

Next, let's calculate the edible portion weight of a .90 lb head of lettuce:

Edible portion weight = .90 lb x .88 (yield factor) = .792 lb

Finally, we can calculate the E.P. cost per pound of lettuce as follows:

E.P. cost = A.P. cost / edible portion weight

E.P. cost = 1.25/lb / .792 lb

E.P. cost = 1.58/lb

Therefore, the E.P. cost per pound of .90 lb head of lettuce is 1.58.

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