what is the difference between a linear functuon and nonlinear function​

Answers

Answer 1

Answer:

In mathematics, a function is a rule that assigns one unique output value for each input value. A linear function is a function that has a constant rate of change between its input and output values. This means that if we plot the function on a graph, it will form a straight line.

For example, the function f(x) = 2x + 1 is a linear function because its graph is a straight line. As x increases by 1, the output of the function increases by 2.

On the other hand, a nonlinear function is a function that does not have a constant rate of change between its input and output values. This means that if we plot the function on a graph, it will not form a straight line.

For example, the function f(x) = x^2 is a nonlinear function because its graph is a curve. As x increases, the output of the function increases at an increasing rate.

In general, nonlinear functions can take many different forms and can have complex behaviors, whereas linear functions have a simple, predictable behavior.


Related Questions

Fred has a great idea for a new product. However, he can only invest $11,919 to start up the company. He asks a three other
individuals to invest in his company. The other three investors bring the total investment to start the company to $285,763.
What percent of the company does the three other individuals own? Round your answer to the nearest tenth of a percent.

Answers

Answer:

He owns about 4.17% or 4% so the others own about 95.83% or 96% but sense it rounds to the nearest tenth your answer would be 95.8%

Step-by-step explanation:

You can figure this out by doing 11,919 divided by 285,763 in order to figure out the percentage of the company he owns and then just do 100 - your answer.

Step-by-step explanation:

First, we need to find out how much money the three other individuals invested in the company. To do that, we'll subtract Fred's investment from the total investment:

Total investment = 285,763

Fred's investment = 11,919

Investment from the three other individuals = Total investment – Fred's investment

Investment from the three other individuals = 285,763 – 11,919

Investment from the three other individuals = 273,844

Now, to calculate the percentage of ownership for the three individuals, we'll divide their combined investment by the total investment and multiply by 100:

Percentage of ownership = (Investment from the three other individuals / Total investment) * 100

Percentage of ownership = (273,844 / 285,763) * 100

Percentage of ownership ≈ 95.8%

So, the three other individuals own approximately 95.8% of the company. Since the question asks to round to the nearest tenth, the answer is 95.8%.

Mr. Lucci put together 5 bags of pens. He put 19 black pens and 12 red pens in each bag.
Which expression shows the total number of pens Mr. Lucci put into bags?
A. (5x 19) + 12
B. 5x (1912)
C. 5+ (19 x 12)
D. (5+19) x 12

Answers

Answer:

5 (19 + 12)

Step-by-step explanation:

You add up the red and black pens and multiply by 5, which indicates the 5 bags

what is greater -19/2 or -1.2

Answers

-1.2 is greater than -19/2.

Answer:

-1.2 is greater than -19/2.

What is a the center and radius

Answers

The center of a circle is the point where we place the tip of our compass while drawing a circle. It is the mid-point of the diameter of the circle. In a circle, the distance between the center to any point on the circumference is always the same which is called the radius of the circle.

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
You pick a card at random. Without putting the first card back, you pick a second card at random.

3
4
5
6


What is the probability of picking an odd number and then picking an odd number?

Write your answer as a fraction or whole number.

Answers

The probability of picking an odd number and then picking an odd number when two cards are drawn without replacement from a set of four cards labeled 3, 4, 5 and 6 is 1/6 or approximately  1667/10000 .

The probability of picking an odd number and then picking an odd number when two cards are drawn without replacement from a set of four cards labeled 3, 4, 5 and 6 can be found by using conditional probability.

The probability of the first card being odd is 2/4 (since there are two odd numbers out of four cards). If the first card was odd and not replaced, the number of cards remaining is three, with only one odd card. Therefore, the probability of picking an odd number again is 1/3.

So, the probability of picking an odd number and then picking an odd number is the product of the probabilities of picking an odd number in the first draw and picking an odd number in the second draw, given that the first draw resulted in an odd number.

P(Odd, Odd) = P(Odd on the first draw) * P(Odd on the second draw given that the first draw was odd)

P(Odd, Odd) = (2/4) * (1/3)

P(Odd, Odd) = 2/12

P(Odd, Odd) = 1/6 or approximately 0.1667

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5C1 evaluate need quick

Answers

The combination is evaluated to give 20

How to evaluate the combination

From the information given, we have the expression as;

⁵C₁

The formula for calculating combination is expressed as;

ⁿCᵣ = n! / (r!(n-r)!)

Such that the parameters of the formula are expressed as;

n = 5 r = 1

Now, substitute the values into the formula, we have;

⁵C₁ = 5! / (1!(5-1)!)

= 5! / (1! × 4!)

Find the permutation, we have;

= (5 × 4 × 3 ×2 × 1) / (1 × (4 × 3 × 2 × 1))

Divide the values, we get;

= 20 / 1

Find the value

= 20

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The table shows the median annual salaries for two different jobs. Median Annual Salaries Job Marketing Manager Financial Analyst Median Annual Salary (dollars) 115,750 76,950 Based on the information in the table, how much more money would a marketing manager earn than a financial analyst over 10 years.
F $38,800
G $1,927,000
H $388,000
J $192,700
pls help!​

Answers

The amount that Marketing Manager earn more than a Financial Analyst over 10 years is $388,000. The Option H.

How much more will Marketing earn than Financial Analyst?

To get how much more a Marketing Manager will earn than a Financial Analyst, we have to calculate the difference in their median annual salaries and multiply by 10.

The difference in median annual salaries is:

= $115,750 - $76,950

= $38,800

The amount earned more by a Marketing Manager over 10 years is:

= $38,800 x 10

= $388,000.

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A rectangular prism with a 8-centimeter length, a 4-centimeter width,
and a 5-centimeter height is placed on a rectangular prism with a 14-
centimeter length, a 8-centimeter width, and a 1-centimeter height.
6 cm
4 cm
5 cm
14 cm
1 cm
8 cm
What is the volume of the composite solid?
The volume is cubic centimeters.

Answers

The volume of the composite solid is 1,154 cubic centimeters.

1,3,5,7,9…. What is the next number

Answers

Answer: 11

Step-by-step explanation:

this is a sequence of odd numbers.

it goes;

1,3,5,7,9,11,13,15,17,19,21,23....

HELP PLEASE URGENT!!!!

Answers

The difference between the interquartile range of Matt's remaining vacation days an Linda's remaining vacation days is given as follows:

-3.5.

How to obtain the interquartile range?

The interquartile range of a data-set is given by the difference of the third quartile by the first quartile of the data-set.

Matt's ordered data-set is given as follows:

5, 9, 11, 12.

Hence the quartiles are:

Q3 = 11.5 -> Mean of the last two elements.Q1 = 7 -> Mean of the first two elements.

Hence the IQR is of:

IQR = 11.5 - 7 = 4.5.

Linda's ordered data-set is given as follows:

0, 6, 9, 13.

The quartiles aret

Q3 = 11.Q1 = 3.

The IQR is of:

IQR = 11 - 3 = 8.

Hence the difference is of:

4.5 - 8 = -3.5.

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A circle has a radius of 30 cm and a central angle that measures 312 degrees. Find the length of the arc defined by this central angle

Answers

The length of the arc defined by the central angle of 312 degrees is 26π cm.

The formula for the arc length of a circle is given by:

L = (θ/360) × 2πr

where L is the length of the arc, θ is the central angle in degrees, and r is the radius of the circle.

Substituting the given values, we get:

L = (312/360) × 2π(30)

L = (26/30) × π × 30

L = 26π cm

Therefore, the length of the arc defined by the central angle of 312 degrees is 26π cm.

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if 12 people get a collective number of 775 questions in a 7 day period how man questions are being asked in a day

Answers

The number of questions asked in a day is A = 110

Given data ,

To determine the number of questions being asked in a day, we need to divide the total number of questions by the number of days.

Now ,  12 people are collectively asking 775 questions in a 7-day period.

So , the number of questions being asked in a day, we divide 775 by 7

A = 775 / 7

On simplifying the equation , we get

A ≈ 110.71

Hence , 110.71 questions are being asked in a day

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Brainliest for the correct answer who put in the answer first. please help me.

Answers

Answer: {m∠HLI = m∠ILM}

Examining the figure the option that must be true is

D. m< HLI = m< ILM

How to get the correct option

The knowledge of angle on a straight line which is 180 degrees is used here,

Using the given angles and the concept of adjacent angles we have that

angle GLH = 150 - 60 = 60

Using angles on a straight line being 180 degrees we have that

angle ILJ = 180 - 60 - 60 - 30 - 15 = 15 degrees

Using adjacent angles

angle ILM = 15 + 15 = 30 degrees

hence we can say that m< HLI = m< ILM

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HELP WILL GIVE BRAINLESS IF U ANSWER THIS ONE'S AND THE OTHER ONES​

Answers

Answer:

  c.  3 ft by 4 ft by 5 ft

Step-by-step explanation:

You want to know which sets of measurements can form a triangle.

Triangle inequality

The triangle inequality requires ...

  a + b > c

for any assignment of a, b, c to side lengths. If 'a' and 'b' are the two shortest sides, satisfying this inequality will also satisfy any other arrangement.

Choicesa. 3 + 4 > 9 . . . . falseb. 5 + 5 > 10 . . . . falsec. 3 + 4 > 5 . . . . TRUEd. 9 + 11 > 20 . . . . false

Only the side lengths 3 ft, 4 ft, 5 ft will form a triangle.

__

Additional comment

As we said the other arrangements of the triangle inequality are also satisfied for these numbers:

  4 + 5 > 3

  3 + 5 > 4

The garden with side lengths 3, 4, 5 will have the shape of a right triangle.

Pls help me with this im struggling

Answers

Answers:

RQT = 159

RQS = 69

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

Explanation:

Draw a segment connecting R and S.

Triangle SRQ is a right triangle due to Thale's Theorem. That theorem is a special case of the inscribed angle theorem. The 90 degree angle R is opposite the diameter SQ.

Minor arc QR = 42 degrees. Half of this is 42/2 = 21, which is the measure of inscribed angle RSQ. This inscribed angle subtends minor arc QR.

Focus on triangle SRQ. We have two known angles (R = 90 and S = 21). Let's use them to find the missing angle.

The inside angles of any triangle always add to 180 degrees.

S+R+Q = 180

21+90+Q = 180

111+Q = 180

Q = 180-111

Q = 69

Angle RQS is 69 degrees.

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

We'll add angle SQT onto the previous result to get angle RQT.

angle RQT = (angle RQS) + (angle RQT)

angle RQT = (69) + (90)

angle RQT = 159 degrees

Need help in this question please

Answers

a. The values of k for which points A, B, and C are collinear are k = 3 and k = -2.

b. The value of k for which AB is parallel to CD is k = 13.

How to calculate the value

a. slope AB = (k+4-9)/(k+1-0) = (k-5)/(k+1)

The slope of AC is:

slope AC = (k+3-9)/(2k-0) = (k-6)/(2k)

Since A, B, and C are collinear, slope AB = slope AC. Therefore, we have:

(k-5)/(k+1) = (k-6)/(2k)

2k(k-5) = (k+1)(k-6)

2k^2 - 10k = k² - 5k - 6

k = 3 or k = -2

(b)  The slope of AB is:

= (k+4-9)/(k+1-0) = (k-5)/(k+1)

The slope of CD is:

= (k+6-k-3)/(2k+2-2k) = 3/2

Since AB is parallel to CD, slope AB = slope CD. Therefore, we have:

(k-5)/(k+1) = 3/2

2(k-5) = 3(k+1)

k = 13

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The total of individual weights of garbage discarded by 20 households in one week is normally distributed with a mean of 32.9 lbs with a sample standard deviation of 14.8 lbs. Find the 95% confidence interval of the mean.

< Select an answer <

Do not round in between steps. Round answers to at least 4 decimal places.

Answers

The 95% confidence interval of the mean is approximately (26.4121, 39.3879) lbs.

How to solve for the confidence interval

since df = n - 1 = 20 - 1 = 19). You can find this value using a t-distribution table or an online calculator.

For a 95% confidence level and 19 degrees of freedom, the t-score is approximately 2.093.

Now, let's calculate the margin of error (E):

E = 2.093 * (14.8 / √20)

E ≈ 6.4879

Finally, we'll find the confidence interval:

Lower Bound = x - E = 32.9 - 6.4879 ≈ 26.4121 lbs

Upper Bound = x + E = 32.9 + 6.4879 ≈ 39.3879 lbs

The 95% confidence interval of the mean is approximately (26.4121, 39.3879) lbs.

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There are 16 equally likely outcomes on a spinner, numbered 1 through 16. What are the odds against stopping on a number less than 12?

Answers

The odds against stopping on a number less than 12 is 5 ; 11

How to determine the odds against stopping on a number less than 12?

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

Sections in the spinner = 16

This means that the probability of getting a number less than 12 is

P(Number less than 12) = Sections less than 12/Sections in the spinner

There are 11 sections less than 12

So, we have

P(Number less than 12) = 11/16

When represented as odds, we have

P(Number less than 12) = 16 - 11 : 11

Evaluate the difference

P(Number less than 12) = 5 : 11

Hence, the odds against stopping on a number less than 12 is 5 ; 11

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|7+(-12)|+|-16| add this together

Answers

Answer: 21

Step-by-step explanation:

Given:

  |7 + (-12)| + |-16|

Absolute value of -16:

  |7 + (-12)| + 16

Addition times subtraction is subtraction:

  |7 - 12| + 16

Subtract:

  |-5| + 16

Absolute value of -5:

  5 + 16

Add:

  21

21 is your final answer.

-
-

I need help with part C. Statistics-based.

Answers

10.8

.......................................

QUESTION 3
Elvis Louw has organized a hall for Mother's day celebration. He invited 150 guests and 2 motivational
3.2
Table
1,8 m
Walking space
Chair 45 cm
Chair 45 cm
NOTE:
Dimensions of the hall: 23 m x 18 m.
The venue includes round tables with a diameter of 1,8 m that can each seat 10 persons.
Use the information above to answer the questions that follow.
3.1
Define the term "Diameter" according to the given context.
Elvis Louw calculated that they need 9 m² per round table. He claims that 30 of the
(2)
(5)
round tables will fit into the space.
Verify Elvis Louw's claim that 30 tables will fit into the space.
You may use the following formula: Area of a rectangle length x breadth
3.3 Calculate the amount of walking space between two tables at the point where they are (5)
the closest, if the space allowed per chair is 45 cm.
(12)

Answers

The amount of walking space between two tables at the point where they are the closest is 0.9 m.

We are given that;

The space allowed per chair = 45 cm.

Number of tables=30

Now,

we find the length of a side of a square that contains a table by adding twice the radius of a table to twice the space allowed per chair. The formula is: side length=2×radius+2×space per chair

Plug in the given values and simplify. The calculation is: side length=2×0.9+2×0.45=2.7

Now subtract the diameter of a table from the side length to get the walking space between two tables. The formula is: walking space=side length−diameter

Plug in the given values and simplify. The calculation is: walking space=2.7−1.8=0.9

To express our answer in meters. walking space=0.9 m

Therefore, by the algebra the answer will be 0.9 m.

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How can I do this math ?

Answers

53 = 43 + v, so substitute each number for V and see if it equals 53.

v = 8 >>> NO

53 = 43 + 8 >>> Nope. This is 51

v = 10 >>> YES

53 = 43 + 10 = 53 >>> Yup! This works.

v = 96 >>> NO

53 = 43 + 96 >>>> Nope, this doesn't add up.

V = 6 >>> NO

53 = 43 + 6 = 49 >>> Nope this doesn't add up.

A dairy needs 372 gallons of milk containing 6% butterfat. How many gallons each of milk containing 7% butterfat and milk containing 3% butterfat must be used to obtain the desired 372 gallons?

Answers

Let's call the number of gallons of milk containing 7% butterfat "x" and the number of gallons of milk containing 3% butterfat "y".

We know that we need a total of 372 gallons of milk.

So, x + y = 372

We also know that the final mixture must contain 6% butterfat.

To find the amount of butterfat in the final mixture, we can multiply the percentage of butterfat in each milk by the number of gallons of that milk, add the two amounts of butterfat, and divide by the total number of gallons:

0.07x + 0.03y = 0.06(372)

Now we have two equations with two variables:

x + y = 372

0.07x + 0.03y = 22.32

We can solve for one of the variables in terms of the other in the first equation:

y = 372 - x

We can substitute this expression for y into the second equation:

0.07x + 0.03(372 - x) = 22.32

Simplifying and solving for x:

0.07x + 11.16 - 0.03x = 22.32

0.04x = 11.16

x = 279

So we need 279 gallons of milk containing 7% butterfat and 93 gallons of milk containing 3% butterfat to obtain 372 gallons of milk containing 6% butterfat.

Answer: 279 gallons of milk containing 7% butterfat and 93 gallons of milk containing 3% butterfat.

THe blanks for 1 Pt 2 are both , Mean, Median, mode, standard devidation, range.

Answers

The Mean = 9.778

The Median = 9

The Mode = 5 and 10

The Standard deviation = 6.21

The Range = 22

What are the Mean, Median, Mode, Standard Deviation and Range?

Mean:

To get, we will sum up all the values and divide by the total number of values.

Mean - Ef/n

Mean = (4 + 5 + 5 + 8 + 9 + 10 + 10 + 11 + 26) / 9

Mean = 88 / 9

Mean = 9.778

Median:

This means middle value of a dataset when arranged in ascending order. If there are two middle values, median is average of the two.

Arranging dataset in ascending order: 4, 5, 5, 8, 9, 10, 10, 11, 26. The Median is 9.

Mode:

The mode is the value that occur(s) most frequently in the dataset. In this dataset, the mode is 5 and 10 as both occur twice.

Standard Deviation:

Variance = [[tex](4 - 9.778)^2 + (5 - 9.778)^2 + (5 - 9.778)^2 + (8 - 9.778)^2 + (9 - 9.778)^2 + (10 - 9.778)^2 + (10 - 9.778)^2 + (11 - 9.778)^2 + (26 - 9.778)^2] / 9[/tex]

Variance = 38.617284

Variance = 38.62

Standard Deviation = √Variance

Standard Deviation = √38.62

Standard Deviation = 6.21449917532

Standard Deviation = 6.21

Range:

The range is difference between maximum and minimum values

Range = 26 - 4

Range = 22

b. The outline for the data set is as follows:

Minimum value: 4First quartile (Q1): 5Median: 9Third quartile (Q3): 10Maximum value: 26

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19. Randomly assigning the _____ units across the treatment groups is called randomization.
A partial
B experimental
C whole
D population

Answers

The correct answer is A) partial.

Randomization is the process of randomly assigning the study participants or experimental units to the different treatment groups.

This helps to ensure that any differences observed between the groups are due to the treatment and not some other extraneous factor. Partial randomization refers to the random assignment of a subset of units to the treatment groups, while other units may be assigned in a non-randomized manner, such as based on convenience or some other criteria. Experimental, whole, and population randomization are not commonly used terms in research methodology.

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plss help me for brainleist

Answers

[tex]\large \maltese \:{ \underline { \underline{ \pmb{ \sf{SolutioN }}}}} : -[/tex]

we have given ,

∠ A = 60°∠ B = 60°∠ C = ?? ( to be calculated)

★ According to Angle sum property of triangle, the sum of interior angles of a triangle is 180°.

➝ ∠ A + ∠ B + ∠ C = 180°

➝ 60° + 60° + ∠ C = 180°

➝ 120° + ∠ C = 180°

➝ ∠ C = 180° - 120°

➝ ∠ C = 60°

Now,

★ Calculating for x :-

↝ ∠ C + x = 180°

↝ 60° + x = 180°

↝ x = 180° - 60°

↝ x = 120°

Hence, The value of x will be 120°.

Answer:

The major of the exterior angle is 120°

Step-by-step explanation:

In given triangle we have to find the value of exterior angle and in interior of the triangle there are two angles 60 degree and second one is also 60 degree and we have to find value of exterior angle which is x.

So, here we apply exterior angle property which is exterior angle is equal to the sum of the two interior opposite angles. Here, there are two opposite interior angles so we have to add these two and we get the value of exterior angle.

Exterior angle property :-

[tex] \implies \sf \angle60 \degree + \angle60 \degree[/tex]

[tex] \implies\angle120 \degree[/tex]

Additional information :-

Some important properties :-

Exterior angle property :- An exterior angle of a triangle is equal to the sum of its interior opposite angles.

Angle sum property :- The total measure of the three angles of a triangle is 180°

Give the coordinates of the point in the graph below.
-5
A
32
-3 -2
-1
-4
-3-
2-
0
-1-
--2-
-3-
-4
-5
-N-
2
3
4
5.

Answers

The coordinates of the point in the graph is (3, 2)

How to determine the coordinates of the point in the graph

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

The graph

On the graph, we have the following

The point is 3 units to the right of the x-axisThe point is 2 units above the y-axis

Represent the point with x

So, we have

X = (3, 2)

Hence, the coordinates of the point in the graph is (3, 2)

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Based on the model, the company hired approximately workers in 2019.The r2 value for this model is 0,56, indicating that this functions good model of the data

Answers

Answer:

Step-by-step explanation:

so how to help you but you do a good job

Za kingdom charges according to this table. how much does Za Kingdom charge for each pizza

Answers

The amount that Za Kingdom charges for each pizza is $8.

How to determine the amount charged by Za kingdom

To determine the amount charged by Za Kingdom, we first note that the cost of each pizza plus the delivery fee is $21.

Assuming the basic price to be $8 and the delivery fee of $13, we have the sum of $21. So, for 3 pizzas, we will have 8 times 3 = 24 + 13 = 37

Also, the amount for 10 pizzas will be 8 times 10 = 80 + 13 = 93. So, the price of each pizza is $8.

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You got a new TV. The dimensions of the TV are 48 inches by 27 inches. What is the size of
the TV?

Answers

I think they want it’s perimeter so it’s 104 inches
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There are many denominations of Christianity, but there is only one denomination of Judaism. True or false When a group of individuals selects a particular consumer-submitted entry, it is called a:SamplePremiumContestSweepstake if you are a seismologist and you notice that an s-wave does not pass through a particular substance you might conclude that the substance is: electronic dance music is often broadly referred to as a. techno. b. house. c. electronica. d. trance. Q.3.Aspect20212022Q1Q2Q3Q4Q1Q2Q3Q4Cured40%63%77%85%83%85%89%90%Died16%10%8%9%9%10%7%11%Lost25%27%15%10%8%8%7%6%Cases25,80016,28017,09111,00018,68914,95017,14013,800Case target10,00010,00010,00010,00010,00010,00010,00010,000Cure target85%Cavendish University Uganda (CUU) is implementing a 2-year health project called CUUX which started Q2 2021. This project's goal was to reduce the number of cases of Informatixphobia to 11,000 cases or less and improve treatment cure to at least 85% by reducing the number of patients lost and died. CUU hired you as a Health Informatics Associate for the project and you have summarized the project data in the table above.a) Using MS Excel, represent this information using two appropriate graphs for treatment cure and number of cases for a meeting. The graphs should be placed in the answer sheet using the format below i.e side-by-side (10 marks).Graph 1Graph 2b) Has CUUX project achieved all its goals? Give reasons to explain your answer (5 marks).c) The World Health Organization (WHO) recommends a death rate of less than 5% of patients who catch Informatixphobia, what does this mean for CUUX project results? Recommend any actions that the CUUX project director may need to undertake. (10 marks) Consider relation schema R(A,B,C) and the set of functional dependencies: F= { B->A, A->C }.Do the following:1. Find the cover of F, i.e., the set of all non-trivial fds implied by F with a single attribute on the right and a minimal left hand side.2. Find a non-empty instance of R (i.e., give a number of rows) that satisfies every FD in F.3. Find an instance of R that satisfies every FD in F, but not A->B.4. Can you find an instance that satisfies every FD in F, but does not satisfy the FD AB->C? If yes, give the instance. If not, explain why. a mutation at the operator site of an operon prevents the repressor from binding. what effect will this mutation have on transcription in a repressible operon? there will be no change in the operon's activity. it will be impossible to turn on transcription of the structural genes. the operon will always be transcriptionally active. there will be a significant decrease in the operon's activity. what effect will this mutation have on transcription in an inducible operon? the operon will always be transcriptionally active. there will be no change in the operon's activity. there will be a significant decrease in the operon's activity. it will be impossible to turn on transcription of the structural genes. Please Help Me On This one! Tsym! if you do I really do appreciate help! my analytics tells me that last week my site had 6,000 visits but only 3000 unique visitors. what explains this discrepancy? question 18 options: a. the tracking code was not working on 3000 visitors b. 3000 visitors did not count because they did not enter the site from the homepage d. some visitors made multiple visits c. 3000 visitors bounced after only one page view, so they did not count as a complete visit Why has the Middle East been at forefront of forgiven domination throughout history we want to study whether there is a relationship between satisfaction and gender. a meaningful display of the data from this study would be: select all that apply which of the following may be advantages of making a part rather than buying it (i.e. vertical integration)? multiple select question. a smoother flow of parts and materials for production. higher quality and lower cost because the supplier company enjoys economies of scale. less dependence on outside suppliers. more dependence on suppliers.