Enter the correct answer in the box. Function g is the result of these transformations on the parent sine function: vertical stretch by a factor of 3 horizontal shift left units vertical shift down 4 units Substitute the values of A, C, and D to complete the equation modeling function g. g(x) = Asin(x + C) + D

Answers

Answer 1

Answer:

By substituting the values of A, C, and D the equation modelling the function is;

g(x) = 3·sin(x - π/2) - 4

Step-by-step explanation:

From the given information, we have;

The vertical stretch of the sine function = 3 × The parent function

∴ A = 3

Given that the horizontal shift left = π/2 units, (from an online source with similar question)

The vertical shift down = 4 units

The given function, g is g(x) = A·sin(x + C) + D

Where;

A = The amplitude = The maximum displacement from the rest or equilibrium position = 3

C = The horizontal shift = -π/2 (The negative sign is for the shifting to the left)

D = The vertical shift = -4 (The negative sign is for a shift in the downward direction)

Therefore, the equation modelling the function is;

g(x) = 3·sin(x - π/2) - 4

Answer 2

Answer:

g(x) = 3·sin(x + π/2) - 4

Step-by-step explanation:

shifted left, it will be positive inside the parentheses


Related Questions

I can use your help please

Answers

Answer:

he needs to play 24 games of basketball

convert 50 percentage into fraction​

Answers

Answer:

50/100, simplified to 1/2

Step-by-step explanation:

50% means half of 1.

1/2=.5 which is half of 1.

1=100%

.5=50%

1/2=50%

Answer:

[tex] \displaystyle \frac{1}{2} [/tex]

Step-by-step explanation:

we are given a parcentage

we want to convert it into fraction

remember that,

[tex] \displaystyle \% = \frac{1}{100} [/tex]

therefore

substitute:

[tex] \displaystyle 50 \times \frac{1}{100} [/tex]

reduce fraction:

[tex] \displaystyle \cancel{50} \times \frac{1}{ \cancel{100} \: ^{2} }[/tex]

[tex] \displaystyle 1 \times \frac{1}{2} [/tex]

simplify multiplication:

[tex] \displaystyle \frac{1}{2} [/tex]

hence,

[tex] \displaystyle 50\% = \frac{1}{2} [/tex]

A computer programmer charges $30 for an initial consultation and $35 per hour for programming. Write a formula for her total charge for h hours of work. *
1 point
A) (30 + 35)h
B) 30 + 35h
C) 35 + 30h
D).65h

Answers

B- 30+35h is the answer for sure

A circus rents a rectangular building that has floor dimensions of 50 by 100 feet

Answers

Answer:

50 x 100=5,000

Step-by-step explanation:

50 x 100

This diagram shows a cylinder that has a radius of 3 inches and a height
of 5 inches.
3 in.
5 in.
What is the volume, in cubic inches, of the cylinder?
A. 151
B. 307
C. 451
D. 601

Answers

I’m not exactly sure but I think it’s 151

The volume, in cubic inches, of the cylinder will be   [tex]\frac{990}{7}[/tex]  or [tex]45\pi[/tex] cubic inches.

What is Cylinder?

Cylinder is a [tex]3D[/tex] solid shape which holds two parallel bases joined by a curved surface, at a fixed distance. These bases are circular in shape and the center of the two bases are joined by a line segment.

What is volume?

Volume is define as capacity of cylinder.

Volume of cylinder [tex]=\pi r^{2} h[/tex]

We have,

Radius [tex]=3[/tex] inches

Height [tex]=5[/tex] inches,

Then,

Volume of cylinder [tex]=\pi r^{2} h[/tex]

                              [tex]=\frac{22}{7} *(3)^{2} *5[/tex]

                               [tex]=\frac{990}{7}[/tex]  or [tex]45\pi[/tex] cubic inches

Hence, we can say that The volume, in cubic inches, of the cylinder will be     [tex]\frac{990}{7}[/tex]  or [tex]45\pi[/tex] cubic inches

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Help PLEASEE!!!!!!!!!!

Answers

I think it’s the third one. Hope that helps!

Answer:

the answers are B or C x>4/19

Pls help it due soon

Answers

Answer:

I need help with math too. Can u help me and I’ll help u

Step-by-step explanation:

please help me with this problem about growth and decay.

Answers

Answer:

The population of the town in Iowa after 13 years is 9,130

Step-by-step explanation:

The given parameters of the town are;

The population of the town in Iowa in 2007, a = 12,355

The rate at which the people of the town leave Iowa for Minnesota, r = 2.3% per year

We are required to find the population of the town after t = 13 years

The given population decay function is presented as follows;

[tex]f(t) = a \cdot (1 - r)^t[/tex]

Where;

a = The initial population of the town = 12,355

r = The annual percentage rate at which the people of the town leave Iowa for Minnesota = 2.3% per year = 0.023

t = The number of years over which the population changes = 13 years = 13

∴ f(13) = 12,355 × (1 - 0.023)¹³ = 9130.02734094

Therefore, the population of the town in Iowa after 13 years ≈ 9,130 (we round down to the nearest whole number).

I will give Brainliest
Emily rides her bike with a constant speed of 18 km/h. How long will she take to travel a distance of 18 kilometers?

Answers

Answer:

1 hour

Step-by-step explanation:

Travels 18 km/h

km/h = kilometers per hour

Answer:

1 hour

Step-by-step explanation:

A company prepares their shipments in two different-sized boxes.
In order to fit with new shipping regulations, the company needs to decrease the volume of the boxes and will do this by reducing each of the dimensions by at least x inches.
Which system of inequalities can be used to model V, the volume of each box, after each dimension has been reduced by at least x inches?

Answers

Answer:

Answer is A.  -296x+960/ -636x+3,024

Step-by-step explanation:

Answer:

HEREEE besties

find the 6th term of 6, 8, 32/3

Answers

Answer:

The 6th term of the sequence is 6144/243

Step-by-step explanation:

From what we have, we can see that the sequence might be geometric

to confirm this, we have to check if the common ratio is the same all through

To know this, we have to divide the succeeding term by the preceding term and check if the results for two sets are equal

thus, we have it that;

32/3 * 1/8 = 8/6

= 4/3 = 4/3

We can confirm that the sequence is thus geometric

Now, to find the nth term of a geometric sequence, we have it that;

Tn = ar^(n-1)

where a is the first term, given as 6

r is the common ratio given as 4/3

n is the term number given as 6

Thus, we have this as:

T6 = 6 * (4/3)^(6-1)

T6 = 6 * (4/3)^5

T6 = 6144/243

Solve the differential equation, 6 x dx + 4 x dy = 0, using separation of variables

Answers

The general solution to the differential equation is: y = -(3/2)x + C, where C is the constant of integration.

To solve the differential equation 6x dx + 4x dy = 0 using separation of variables, we need to rearrange the equation so that all the x terms are on one side and all the y terms are on the other side.

Let's start by dividing both sides of the equation by 4x:

(6x dx + 4x dy) / 4x = 0

(6x / 4x) dx + (4x / 4x) dy = 0

(3/2) dx + dy = 0

Now we can separate the variables by moving the dy term to the other side:

dy = -(3/2) dx

Integrating both sides with respect to their respective variables, we have:

∫ dy = ∫ -(3/2) dx

The integral of dy with respect to y is simply y, and the integral of -(3/2) dx with respect to x is -(3/2)x:

y = -(3/2)x + C

where C is the constant of integration. Thus, the general solution to the differential equation is:

y = -(3/2)x + C

This is the final solution using separation of variables.

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Define: stratified random sample a) population is divided into similar groups and a SRS is chosen from each group. b) gives each member of the population a known chance to be selected. c) people who choose themselves for a sample by responding to a general appeal. d) the explanatory variable(s) in an experiment. e) directly holding extraneous factors constant. f) every possible sample of a given size has the same chance to be selected. g) using extraneous factors to create similar groups. h) successively smaller groups are selected within the population in stages. i) choosing the individuals easiest to reach.

Answers

Answer:

d) population is divided into similar groups and a SRS is chosen from each group.

Step-by-step explanation:

Stratified random sampling

can be regarded as "proportional random sampling" and is method of sampling which entails division of a population to more simpler sub- groups, this sub- groups are regarded as " strata". This strata are been formed on the basis of shared attributes of the members. This attribute could be educational attainment as well as income. It should be noted that stratified random sample is population is divided into similar groups and a SRS is chosen from each group.

HELP PLEASE!!
On October 1, Gary’s bank balance was $130. During October, he made two
withdrawals and one deposit. At the end of the month, his bank balance was
$95. List two withdrawals and one deposit that would give this final balance.

Answers

Answer: $50 withdrawl $50 withdrawl and $65 deposite

Step-by-step : $50 withdrawl $50 withdrawl and $65 deposite

PLEASEEEEEEEEEEEEEEE HELPPPPPPPPPPPPPP

Answers

Answer:

The equation is x-18 + 8x = 180 (because they form a linear pair of angles.

Each angle measure:-

x-18 + 8x = 180

x + 8x = 180 + 18 (-18 becomes +18)

9x = 198

x = 198/9

x = 22

Angle 1 = x-18 = 22-18 = 4 degrees

Angle 2 = 8x = 8 * 22 = 176 degrees

Hope it helps :')




Find a generalisation of Euler's Formula for graphs which are not necessarily connected. Be sure to prove that your formula always holds.

Answers

In Euler's Formula for graphs that are not necessarily connected states that the number of vertices minus the number of edges plus the number of connected components is equal to the Euler characteristic of the graph.

Euler's Formula, which states that the number of vertices minus the number of edges plus the number of faces is equal to 2 for planar graphs, can be extended to graphs that are not necessarily connected. In this generalization, we consider the number of connected components in the graph. A connected component is a subgraph where there is a path between any two vertices.

Let V be the number of vertices, E be the number of edges, C be the number of connected components, and X be the Euler characteristic of the graph. The generalization of Euler's Formula for non-connected graphs is given by V - E + C = X.

To prove this formula, we start with Euler's Formula for connected graphs, which states V - E + F = 2, where F is the number of faces. For a disconnected graph, the number of faces can be defined as the sum of the number of faces in each connected component minus the number of edges that belong to more than one connected component. This can be written as F = F1 + F2 + ... + FC - N, where Fi is the number of faces in the i-th connected component and N is the number of edges connecting different components.

By substituting F = F1 + F2 + ... + FC - N into Euler's Formula for connected graphs and rearranging terms, we get V - E + C = X, which is the generalization of Euler's Formula for non-connected graphs. Therefore, the formula holds true for any graph, whether connected or not.

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Use the benchmark 1/2 to compare 5/8 and 2/7

Answers

Answer:

what?

Step-by-step explanation:

Identify the end behavior of the function f(x) = 6x^4 - 12x^3 +8x -10

Answers

Answer:

Step-by-step explanation:

This is a quartic  equation with a positive coefficient for x^4 so it is shaped like an M xo ir rises to both the left and the right.

Out of her 5 gigabyte data plan, Debbie has used 37%. How much data does she have left?

Answers

jawkfjrnsidbjekwbxk2jw dlf 2kqbdkkebakdnrk8w Fflint

Answer:

740%

Step-by-step explanation:

$12.60 for 3 boxes. Find the unit rate

Answers

Answer:

$4.20 / box

Step-by-step explanation:

12.60 / 3 = 4.20

To evaluate the performance of a new diagnostic test, the developer checks it out on 150 subjects with the disease for which the test was designed, and on 250 controls known to be free of the disease. Ninety of the
diseased yield positive tests, as do 30 of the controls.
What is the specificity of this test? (2 decimals)

Answers

The specificity of the diagnostic test is 88%, indicating its ability to accurately identify individuals without the disease as negative.

Specificity is a measure of the test's ability to correctly identify individuals without the disease as negative. To calculate the specificity, we need to consider the number of true negatives (controls who yield negative tests) and the total number of controls.

In this case, the number of controls tested is 250, and out of those, 30 yield positive tests. The number of true negatives can be calculated by subtracting the number of false positives (controls who yield positive tests) from the total number of controls:

Negatives which are true = Total Controls - False Positives

True Negatives = 250 - 30 = 220

The specificity is then calculated as the ratio of true negatives to the total number of controls:

Specificity = True Negatives / Total Controls

Specificity = 220 / 250 ≈ 0.88

Therefore, the specificity of this test is approximately 0.88 or 88%. This means that the test correctly identifies 88% of individuals without the disease as negative.

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4
The equation below has no solution.
2
2 - 72 + 3 + 4x = ax + b
True
False

Answers

it is True ..............................................

Answer:

True

Step-by-step explanation:

2-72+3+4x=ax+b

73 + 4x = ax + b

Since there are 3 variables in this equation you need 3 equations. Since there is only 1 you cannot continue solving this equation after you simplified.

Hope this helps!

Kitchen chairs are purchased wholesale for $36 each by a discount furniture store. Then, the store marks up the chairs by 60 percent. The store has a special sale where all items are marked down by 20 percent. How much would two chairs cost during the sale? $46.08 $57.60 $92.16 $115.20Kitchen chairs are purchased wholesale for $36 each by a discount furniture store. Then, the store marks up the chairs by 60 percent. The store has a special sale where all items are marked down by 20 percent. How much would two chairs cost during the sale? $46.08 $57.60 $92.16 $115.20

Answers

Answer:

46.08

Step-by-step explanation:

you have to make your percentage a decimal, which 60% will be .60 and 20% will be .20. you then multiply your initial number which is 36 by .60 and add that on because youre adding 60%. After that you will multiply that given number by .20 and you subtract what that product is from your last product you received (36x.60) which if im not mistaken will give you $46.08.

Answer:

C

Step-by-step explanation:

I took the test

The lifetimes of a certain brand of photographic light are normally distributed with a mean of 210 hours and a standard deviation of 50 hours. a a) What is the probability that a particular light will last more than 250 hours?

Answers

The lifetimes of a certain brand of photographic light are normally distributed with a mean of 210 hours and a standard deviation of 50 hours. We need to find the probability that a particular light will last more than 250 hours.

Given mean = μ = 210 hours. Standard deviation = σ = 50 hours. Let X be the lifetime of a photographic light. X ~ N (μ, σ) = N (210, 50). The probability that a particular light will last more than 250 hours can be calculated as follows: P(X > 250) = 1 - P(X < 250)Let Z be the standard normal variable.

Then, (250 - μ) / σ = (250 - 210) / 50 = 0.8P(X < 250) = P(Z < 0.8). Using the z-table, the probability that Z is less than 0.8 is 0.7881. Therefore, P(X > 250) = 1 - P(X < 250) = 1 - 0.7881 = 0.2119. Hence, the probability that a particular light will last more than 250 hours is 0.2119.

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Mhanifa can you please help? This is due asap!

Answers

13. k=3/4       14. a=23

15. p= 5 1/2    16. x=13

17. m=56         18. n=1 1/2

Answer:

13)

9/8 = (k + 6)/6 8(k + 6) = 6*98k + 48 = 548k = 6k = 6/8k = 3/4

14)

2/10 = 4/(a - 3)a - 3 = 4*5a - 3 = 20a = 23

15)

10/(p + 2) = 4/34(p + 2) = 10*34p + 8 = 304p = 22p = 22/4p = 11/2

16)

4/6 = 8/(x - 1)4(x - 1) = 8*6x - 1 = 12x = 13

17)

m/8 = (m + 7)/ 99m = 8(m + 7)9m = 8m + 56m = 56

18)

n/(n + 1) = 3/55n = 3(n + 1)5n = 3n + 32n = 3n = 3/2

A random sample of 700 Democrats included 644 that consider protecting the environment to be a top priority. A random sample of 850 Republicans included 323 that consider protecting the environment to be a top priority. Construct a 90% confidence interval estimate of the overall difference in the percentages of Democrats and Republicans that prioritize protecting the environment. (Give your answers as percentages, rounded to the nearest tenth of a percent.)

Answers

The 90% confidence interval estimate of the overall difference in the percentages of Democrats and Republicans that prioritize protecting the environment is -21.3% to -16.1%, which represents the range of values within which the true difference is likely to fall.

To construct the confidence interval, we first calculate the sample proportions for Democrats and Republicans: p₁ = 644/700 ≈ 0.92 for Democrats, and p₂ = 323/850 ≈ 0.38 for Republicans.

Next, we calculate the standard error of the difference using the formula: SE = √((p₁(1-p₁)/n₁) + (p₂(1-p₂)/n₂)), where n₁ and n₂ are the sample sizes.

Using the given sample sizes, the standard error is approximately 0.019.

To determine the margin of error, we multiply the standard error by the z-score corresponding to a 90% confidence level, which is approximately 1.645.

Finally, we calculate the lower and upper bounds of the confidence interval by subtracting and adding the margin of error from the difference in sample proportions: 0.92 - 0.38 ± (1.645 * 0.019).

The resulting confidence interval is approximately -21.3% to -16.1%, which represents the range within which we can estimate the overall difference in the percentages of Democrats and Republicans prioritizing environmental protection.

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Waldo is looking up at his kite at a 22 degrees angle of elevation. If the horizontal distance to his kite is 225 feet, how long is the string from his hand to his kite ?

Answers

Answer:

The height of the kite from the ground is 13.617 feet  

Step-by-step explanation:

Given as :

The measure of the string = 30 feet

The angle of elevation from the boy to his kite = 27°

Let the height of the kite from ground = H feet

So, From Triangle

Sin angle =

Or, Sin 27° =  

or, H = 30 ×  Sin 27°

I.e H = 30 × 0.4539

∴ H = 13.617 feet

Hence the height of the kite from the ground is 13.617 feet   Answer

the waiting time at an elevator is uniformly distributed between 30 and 200 seconds. what is the probability a rider must wait between 1 minute and 1.4 minutes?

Answers

The probability that a rider must wait between 1 minute and 1.4 minutes at the elevator can be determined by calculating the proportion of the uniform distribution that falls within this time interval.

The given information states that the waiting time at the elevator follows a uniform distribution between 30 and 200 seconds. To find the probability of waiting between 1 minute and 1.4 minutes, we need to convert these time values to seconds.

1 minute is equal to 60 seconds, and 1.4 minutes is equal to 84 seconds. Therefore, we are interested in finding the probability that the waiting time falls between 60 seconds and 84 seconds.

Since the waiting time follows a uniform distribution, the probability of waiting within a specific interval is equal to the length of that interval divided by the total length of the distribution.

The total length of the distribution is 200 seconds - 30 seconds = 170 seconds.

The length of the interval between 60 seconds and 84 seconds is 84 seconds - 60 seconds = 24 seconds.

Thus, the probability that a rider must wait between 1 minute and 1.4 minutes is 24 seconds / 170 seconds, which is approximately 0.1412 or 14.12%.

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**Jane found money in her pocket. She went to a convenience store and spent 1/4 of her money on chocolate milk, 3/5 of her money on a magazine, and the rest of her money on candy. What fraction of her money did she spend on candy? ​

Answers

Answer:

3/20

Step-by-step explanation:

1/1-1/4-3/5= (money spent)

1×4×5/(1×4×5)-1×1×5/(1×4×5)-3×1×4/(1×4×5)

20/20-5/20-12/20

(20-5-12)/20=3/20

Answer:

$y - $0.85

Step-by-step explanation:

y represents how much money he had.

[tex]\frac{3}{5}+\frac{1}{4} =\frac{17}{20}[/tex]

$y - $0.85

Another translation that I need help on T__T

Answers

The translation for this problem is classified as follows:

2 units left -> horizontal translation.4 units down -> vertical translation.

What are the translation rules?

The four translation rules are defined as follows:

Left a units: x -> x - a. -> horizontal translation.Right a units: x -> x + a. -> horizontal translation.Up a units: y -> y + a. -> vertical translation.Down a units: y -> y - a. -> vertical translation.

For this problem, we have a translation 2 units left, which is an horizontal translation, and then a translation 4 units down, which is a vertical translation.

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What would the averages be? The root is to be pulled out-Out of the anchoring earth;It is to be roped, tied,And pulled out-snapped outOr pulled out entirely.(1) What should be done to kill a tree? y = 3x + 7 y = 2x 8 patrick and kelsey are married filing jointly in 2020. patrickworks at a car dealership, and kelsey is a nurse at a hospital.during the year. they received $145000 in totL(together) forsalaries fro Q1. You work in the investment bank. 'You have been asked to make a dividend payment to a customer for a security they held . They were supposed to receive 70usd, but they only received 20usd. You Informed the client that the settlement department is activately addressing the problem, and provided the information why the issue happened.You inform the client that the settlements team is Investigating the problem and reassure them that they will be paid as soon as possible. The following day, the settlements team tells you that there was an error in the calculations and that this has impacted 20% of alI clients that were supposed to receive this dividend payment,The settlements team asks how you would like to respond to the client.Please choose the best effective solution and least effective solution respectively.1.Call the client and Inform him that this problem was a calculation error that has now been fixed. He will be repaid the correct amount shortly and this error should not2.Call the client and to protect the Bank's positive image. inform him that the mistake occurred due to a third party vendor's miscalculation3.Ask the settlements team to contact the client and Inform. him that the Issue has been resolved and that he should receive his correct dividend payment shortly.Q2-a.You work in the investment bank. A client urgently seeks to pick up money from his trust fund. Your senior colleague always deals with this type of business, but he is not available for 3hours. You find the fund alone, and find it has been set up in a way which means the client cannot access the fund by himself, but either of two children could. However, there could be legal repercussion for the firm.Please choose the best effective solution and least effective solution respectively.1.See whether another senior colleague is advice you how to deal with the issue.2. Explain to the client that he is not able to access his fund, because of the fund setting3. Explain to the customer, due to the way the fund sets up, only his children are able to accessQ2-b. The client prefers to wait until the usual senior colleague is available. he asks you about discrepancy in the transaction process report.These figures connect to the client's investments, so you appreciate his concern. you understand unresolved internal reconciliation problem that may be to blame. However, the your knowledge about the field is limited. However, your manager is part of a task-force that is search for the issue.Please choose the best effective solution and least effective solution respectively.1.Transfer to the call to your senior manager, including a clear overview of the customer's issue.2. Say you will investigate and respond to the client with a detailed response.3. Tell the customer what you know and say you will provide additional information if needed.Q2-c. You Investigate the possibility that an Internal reconciliation error might have caused the discrepancies In the client's transaction process, A figure that should have been S1,000 is showing as $700 on one system. Further investigation suggests that the source data has been extracted incorrectly.Please choose the best effective solution and least effective solution respectively.1. Seek advice from your manager about how to resolve the issue.2.Conclude that it is an IT problem and pass it to the IT department to resolve3.Examine the source data yourself to see what may have gone wrong. When a small piece of sodium metal is dropped into a beaker of water, hydrogen gas (H2) and a solution of sodium hydroxide (NaOH) are products. The solution becomes warm. Combine the like terms to create an equivalent expression for 4z(3z) nabiha wants to decorate her home for an upcoming party she bought a roll of ribbon from "dollarama" which is 3.2 m long(a) how many 15 cm of ribbon can be cut from a 3.2m long ribbon (b) how long is the remaining peice Give two factors that keep most populations in creation from experiencing a population explosion Where do you find the worlds tallest mountains?A.) oceanic-oceanic convergent platesB.) oceanic-continental convergent platesC.) continental-continental convergent platesD.) over hot spots can sombody help me with this question please? Amy buys 22 envelopes for 13p each and pays with a 5 note.How much change does she get?Give your answer in pounds, . Which key stakeholder demands that firms behave responsibly? Find the volume of an oblique circular cylinder that has a radius of five feet and a heightof three feet PLASE HELP!!!!! IM DESPERATE According to the equation below, if 2.00 g of PCl5 react completely, how many grams of HCl will be produced?PCl5+4H2OH3PO4+5HCl does jethro wheeler from into the west have self awareness How does the narrator change over the course of the story?He doesn't understand his mom, but he begins toappreciate her more.He starts to be more understanding of how hard hismom works to provide for him.He realizes that his mom will never understand him.He becomes more determined to pursue a career as aprofessional baseball player. Solve for x 103 (3x+4) Give one example of where protection of an infant industry has been a success and one where it has failed. Consider Ricardos theory of trade, the Standard Model, economies of scale, and other models that you consider relevant, but also give a theoretical explanation of why these theories may not apply